CMSIS-DSP: Initial F64 CFFT/RFFT implementation
diff --git a/CMSIS/DSP/Include/arm_common_tables.h b/CMSIS/DSP/Include/arm_common_tables.h
index bff7a46..721b18d 100644
--- a/CMSIS/DSP/Include/arm_common_tables.h
+++ b/CMSIS/DSP/Include/arm_common_tables.h
@@ -31,243 +31,360 @@
 
 #include "arm_math.h"
 
-#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) 
-
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES)
+  /* Double Precision Float CFFT twiddles */
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREV_1024)
     extern const uint16_t armBitRevTable[1024];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
 
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_16)
+    extern const uint64_t twiddleCoefF64_16[32];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_32)
+    extern const uint64_t twiddleCoefF64_32[64];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_64)
+    extern const uint64_t twiddleCoefF64_64[128];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_128)
+    extern const uint64_t twiddleCoefF64_128[256];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_256)
+    extern const uint64_t twiddleCoefF64_256[512];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_512)
+    extern const uint64_t twiddleCoefF64_512[1024];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_1024)
+    extern const uint64_t twiddleCoefF64_1024[2048];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_2048)
+    extern const uint64_t twiddleCoefF64_2048[4096];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_4096)
+    extern const uint64_t twiddleCoefF64_4096[8192];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_16)
     extern const float32_t twiddleCoef_16[32];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_32)
     extern const float32_t twiddleCoef_32[64];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_64)
     extern const float32_t twiddleCoef_64[128];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_128)
     extern const float32_t twiddleCoef_128[256];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_256)
     extern const float32_t twiddleCoef_256[512];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_512)
     extern const float32_t twiddleCoef_512[1024];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_1024)
     extern const float32_t twiddleCoef_1024[2048];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_2048)
     extern const float32_t twiddleCoef_2048[4096];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_4096)
     extern const float32_t twiddleCoef_4096[8192];
     #define twiddleCoef twiddleCoef_4096
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_16)
     extern const q31_t twiddleCoef_16_q31[24];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_32)
     extern const q31_t twiddleCoef_32_q31[48];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_64)
     extern const q31_t twiddleCoef_64_q31[96];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_128)
     extern const q31_t twiddleCoef_128_q31[192];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_256)
     extern const q31_t twiddleCoef_256_q31[384];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_512)
     extern const q31_t twiddleCoef_512_q31[768];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_1024)
     extern const q31_t twiddleCoef_1024_q31[1536];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_2048)
     extern const q31_t twiddleCoef_2048_q31[3072];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_4096)
     extern const q31_t twiddleCoef_4096_q31[6144];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_16)
     extern const q15_t twiddleCoef_16_q15[24];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_32)
     extern const q15_t twiddleCoef_32_q15[48];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_64)
     extern const q15_t twiddleCoef_64_q15[96];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_128)
     extern const q15_t twiddleCoef_128_q15[192];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_256)
     extern const q15_t twiddleCoef_256_q15[384];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_512)
     extern const q15_t twiddleCoef_512_q15[768];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_1024)
     extern const q15_t twiddleCoef_1024_q15[1536];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_2048)
     extern const q15_t twiddleCoef_2048_q15[3072];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_4096)
     extern const q15_t twiddleCoef_4096_q15[6144];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
+  /* Double Precision Float RFFT twiddles */
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_32)
+    extern const uint64_t twiddleCoefF64_rfft_32[32];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_64)
+    extern const uint64_t twiddleCoefF64_rfft_64[64];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_128)
+    extern const uint64_t twiddleCoefF64_rfft_128[128];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_256)
+    extern const uint64_t twiddleCoefF64_rfft_256[256];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_512)
+    extern const uint64_t twiddleCoefF64_rfft_512[512];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_1024)
+    extern const uint64_t twiddleCoefF64_rfft_1024[1024];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_2048)
+    extern const uint64_t twiddleCoefF64_rfft_2048[2048];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_4096)
+    extern const uint64_t twiddleCoefF64_rfft_4096[4096];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_32)
     extern const float32_t twiddleCoef_rfft_32[32];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_64)
     extern const float32_t twiddleCoef_rfft_64[64];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_128)
     extern const float32_t twiddleCoef_rfft_128[128];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_256)
     extern const float32_t twiddleCoef_rfft_256[256];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_512)
     extern const float32_t twiddleCoef_rfft_512[512];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_1024)
     extern const float32_t twiddleCoef_rfft_1024[1024];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_2048)
     extern const float32_t twiddleCoef_rfft_2048[2048];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_4096)
     extern const float32_t twiddleCoef_rfft_4096[4096];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
+
+  /* Double precision floating-point bit reversal tables */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_16)
+    #define ARMBITREVINDEXTABLEF64_16_TABLE_LENGTH ((uint16_t)12)
+    extern const uint16_t armBitRevIndexTableF64_16[ARMBITREVINDEXTABLEF64_16_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_32)
+    #define ARMBITREVINDEXTABLEF64_32_TABLE_LENGTH ((uint16_t)24)
+    extern const uint16_t armBitRevIndexTableF64_32[ARMBITREVINDEXTABLEF64_32_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_64)
+    #define ARMBITREVINDEXTABLEF64_64_TABLE_LENGTH ((uint16_t)56)
+    extern const uint16_t armBitRevIndexTableF64_64[ARMBITREVINDEXTABLEF64_64_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_128)
+    #define ARMBITREVINDEXTABLEF64_128_TABLE_LENGTH ((uint16_t)112)
+    extern const uint16_t armBitRevIndexTableF64_128[ARMBITREVINDEXTABLEF64_128_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_256)
+    #define ARMBITREVINDEXTABLEF64_256_TABLE_LENGTH ((uint16_t)240)
+    extern const uint16_t armBitRevIndexTableF64_256[ARMBITREVINDEXTABLEF64_256_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_512)
+    #define ARMBITREVINDEXTABLEF64_512_TABLE_LENGTH ((uint16_t)480)
+    extern const uint16_t armBitRevIndexTableF64_512[ARMBITREVINDEXTABLEF64_512_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_1024)
+    #define ARMBITREVINDEXTABLEF64_1024_TABLE_LENGTH ((uint16_t)992)
+    extern const uint16_t armBitRevIndexTableF64_1024[ARMBITREVINDEXTABLEF64_1024_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_2048)
+    #define ARMBITREVINDEXTABLEF64_2048_TABLE_LENGTH ((uint16_t)1984)
+    extern const uint16_t armBitRevIndexTableF64_2048[ARMBITREVINDEXTABLEF64_2048_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_4096)
+    #define ARMBITREVINDEXTABLEF64_4096_TABLE_LENGTH ((uint16_t)4032)
+    extern const uint16_t armBitRevIndexTableF64_4096[ARMBITREVINDEXTABLEF64_4096_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
   /* floating-point bit reversal tables */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_16)
     #define ARMBITREVINDEXTABLE_16_TABLE_LENGTH ((uint16_t)20)
     extern const uint16_t armBitRevIndexTable16[ARMBITREVINDEXTABLE_16_TABLE_LENGTH];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_32)
     #define ARMBITREVINDEXTABLE_32_TABLE_LENGTH ((uint16_t)48)
     extern const uint16_t armBitRevIndexTable32[ARMBITREVINDEXTABLE_32_TABLE_LENGTH];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_64)
     #define ARMBITREVINDEXTABLE_64_TABLE_LENGTH ((uint16_t)56)
     extern const uint16_t armBitRevIndexTable64[ARMBITREVINDEXTABLE_64_TABLE_LENGTH];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_128)
     #define ARMBITREVINDEXTABLE_128_TABLE_LENGTH ((uint16_t)208)
     extern const uint16_t armBitRevIndexTable128[ARMBITREVINDEXTABLE_128_TABLE_LENGTH];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_256)
     #define ARMBITREVINDEXTABLE_256_TABLE_LENGTH ((uint16_t)440)
     extern const uint16_t armBitRevIndexTable256[ARMBITREVINDEXTABLE_256_TABLE_LENGTH];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_512)
     #define ARMBITREVINDEXTABLE_512_TABLE_LENGTH ((uint16_t)448)
     extern const uint16_t armBitRevIndexTable512[ARMBITREVINDEXTABLE_512_TABLE_LENGTH];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_1024)
     #define ARMBITREVINDEXTABLE_1024_TABLE_LENGTH ((uint16_t)1800)
     extern const uint16_t armBitRevIndexTable1024[ARMBITREVINDEXTABLE_1024_TABLE_LENGTH];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_2048)
     #define ARMBITREVINDEXTABLE_2048_TABLE_LENGTH ((uint16_t)3808)
     extern const uint16_t armBitRevIndexTable2048[ARMBITREVINDEXTABLE_2048_TABLE_LENGTH];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_4096)
     #define ARMBITREVINDEXTABLE_4096_TABLE_LENGTH ((uint16_t)4032)
     extern const uint16_t armBitRevIndexTable4096[ARMBITREVINDEXTABLE_4096_TABLE_LENGTH];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
-  
+
+
   /* fixed-point bit reversal tables */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_16)
     #define ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH ((uint16_t)12)
     extern const uint16_t armBitRevIndexTable_fixed_16[ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_32)
     #define ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH ((uint16_t)24)
     extern const uint16_t armBitRevIndexTable_fixed_32[ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_64)
     #define ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH ((uint16_t)56)
     extern const uint16_t armBitRevIndexTable_fixed_64[ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_128)
     #define ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH ((uint16_t)112)
     extern const uint16_t armBitRevIndexTable_fixed_128[ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_256)
     #define ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH ((uint16_t)240)
     extern const uint16_t armBitRevIndexTable_fixed_256[ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_512)
     #define ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH ((uint16_t)480)
     extern const uint16_t armBitRevIndexTable_fixed_512[ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_1024)
     #define ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH ((uint16_t)992)
     extern const uint16_t armBitRevIndexTable_fixed_1024[ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_2048)
     #define ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH ((uint16_t)1984)
     extern const uint16_t armBitRevIndexTable_fixed_2048[ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_4096)
     #define ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH ((uint16_t)4032)
     extern const uint16_t armBitRevIndexTable_fixed_4096[ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH];
@@ -328,26 +445,26 @@
     extern const q15_t cos_factorsQ15_8192[8192];
   #endif
 
-  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_128)  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_128)
     extern const q31_t WeightsQ31_128[256];
     extern const q31_t cos_factorsQ31_128[128];
   #endif
 
-  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_512) 
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_512)
     extern const q31_t WeightsQ31_512[1024];
     extern const q31_t cos_factorsQ31_512[512];
   #endif
 
-  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_2048) 
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_2048)
     extern const q31_t WeightsQ31_2048[4096];
     extern const q31_t cos_factorsQ31_2048[2048];
   #endif
 
-  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_8192) 
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_8192)
     extern const q31_t WeightsQ31_8192[16384];
     extern const q31_t cos_factorsQ31_8192[8192];
   #endif
-    
+
 #endif /* if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_TABLES) */
 
 #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FAST_ALLOW_TABLES)
@@ -355,20 +472,20 @@
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_RECIP_Q15)
     extern const q15_t armRecipTableQ15[64];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_RECIP_Q31)
     extern const q31_t armRecipTableQ31[64];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */
-  
+
   /* Tables for Fast Math Sine and Cosine */
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SIN_F32)
     extern const float32_t sinTable_f32[FAST_MATH_TABLE_SIZE + 1];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SIN_Q31)
     extern const q31_t sinTable_q31[FAST_MATH_TABLE_SIZE + 1];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */
-  
+
   #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SIN_Q15)
     extern const q15_t sinTable_q15[FAST_MATH_TABLE_SIZE + 1];
   #endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */
diff --git a/CMSIS/DSP/Include/arm_const_structs.h b/CMSIS/DSP/Include/arm_const_structs.h
index 80a3e8b..83984c4 100644
--- a/CMSIS/DSP/Include/arm_const_structs.h
+++ b/CMSIS/DSP/Include/arm_const_structs.h
@@ -33,6 +33,16 @@
 #include "arm_math.h"
 #include "arm_common_tables.h"
 
+   extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len16;
+   extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len32;
+   extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len64;
+   extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len128;
+   extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len256;
+   extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len512;
+   extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len1024;
+   extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len2048;
+   extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len4096;
+
    extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len16;
    extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len32;
    extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len64;
diff --git a/CMSIS/DSP/Include/arm_math.h b/CMSIS/DSP/Include/arm_math.h
index c925b24..d07fc9b 100644
--- a/CMSIS/DSP/Include/arm_math.h
+++ b/CMSIS/DSP/Include/arm_math.h
@@ -2777,6 +2777,24 @@
         uint8_t ifftFlag,
         uint8_t bitReverseFlag);
 
+
+  /**
+   * @brief Instance structure for the Double Precision Floating-point CFFT/CIFFT function.
+   */
+  typedef struct
+  {
+          uint16_t fftLen;                   /**< length of the FFT. */
+    const float64_t *pTwiddle;         /**< points to the Twiddle factor table. */
+    const uint16_t *pBitRevTable;      /**< points to the bit reversal table. */
+          uint16_t bitRevLength;             /**< bit reversal table length. */
+  } arm_cfft_instance_f64;
+
+  void arm_cfft_f64(
+  const arm_cfft_instance_f64 * S,
+        float64_t * p1,
+        uint8_t ifftFlag,
+        uint8_t bitReverseFlag);
+
   /**
    * @brief Instance structure for the Q15 RFFT/RIFFT function.
    */
@@ -2855,6 +2873,42 @@
         float32_t * pDst);
 
   /**
+   * @brief Instance structure for the Double Precision Floating-point RFFT/RIFFT function.
+   */
+typedef struct
+  {
+          arm_cfft_instance_f64 Sint;      /**< Internal CFFT structure. */
+          uint16_t fftLenRFFT;             /**< length of the real sequence */
+    const float64_t * pTwiddleRFFT;        /**< Twiddle factors real stage  */
+  } arm_rfft_fast_instance_f64 ;
+
+arm_status arm_rfft_fast_init_f64 (
+         arm_rfft_fast_instance_f64 * S,
+         uint16_t fftLen);
+
+arm_status arm_rfft_32_fast_init_f64 ( arm_rfft_fast_instance_f64 * S );
+
+arm_status arm_rfft_64_fast_init_f64 ( arm_rfft_fast_instance_f64 * S );
+
+arm_status arm_rfft_128_fast_init_f64 ( arm_rfft_fast_instance_f64 * S );
+
+arm_status arm_rfft_256_fast_init_f64 ( arm_rfft_fast_instance_f64 * S );
+
+arm_status arm_rfft_512_fast_init_f64 ( arm_rfft_fast_instance_f64 * S );
+
+arm_status arm_rfft_1024_fast_init_f64 ( arm_rfft_fast_instance_f64 * S );
+
+arm_status arm_rfft_2048_fast_init_f64 ( arm_rfft_fast_instance_f64 * S );
+
+arm_status arm_rfft_4096_fast_init_f64 ( arm_rfft_fast_instance_f64 * S );
+
+void arm_rfft_fast_f64(
+    arm_rfft_fast_instance_f64 * S,
+    float64_t * p, float64_t * pOut,
+    uint8_t ifftFlag);
+
+
+  /**
    * @brief Instance structure for the floating-point RFFT/RIFFT function.
    */
 typedef struct
diff --git a/CMSIS/DSP/PythonWrapper/cmsisdsp_pkg/src/cmsismodule.h b/CMSIS/DSP/PythonWrapper/cmsisdsp_pkg/src/cmsismodule.h
index c7c7943..8074f21 100644
--- a/CMSIS/DSP/PythonWrapper/cmsisdsp_pkg/src/cmsismodule.h
+++ b/CMSIS/DSP/PythonWrapper/cmsisdsp_pkg/src/cmsismodule.h
@@ -75,8 +75,8 @@
         self->instance->pCoeffs = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -163,8 +163,8 @@
         self->instance->pCoeffs = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -251,8 +251,8 @@
         self->instance->pCoeffs = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -339,8 +339,8 @@
         self->instance->pCoeffs = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -427,8 +427,8 @@
         self->instance->pCoeffs = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -518,8 +518,8 @@
         self->instance->pCoeffs = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -609,8 +609,8 @@
         self->instance->pCoeffs = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -690,8 +690,8 @@
         self->instance->pData = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -775,8 +775,8 @@
         self->instance->pData = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -860,8 +860,8 @@
         self->instance->pData = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -945,8 +945,8 @@
         self->instance->pData = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -1023,8 +1023,8 @@
 
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -1113,8 +1113,8 @@
 
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -1203,8 +1203,8 @@
 
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -1300,8 +1300,8 @@
         self->instance->pYData = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -1388,8 +1388,8 @@
         self->instance->pData = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -1473,8 +1473,8 @@
         self->instance->pData = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -1558,8 +1558,8 @@
         self->instance->pData = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -1643,8 +1643,8 @@
         self->instance->pData = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -1723,8 +1723,8 @@
         self->instance->pBitRevTable = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -1811,8 +1811,8 @@
         self->instance->pBitRevTable = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -1899,8 +1899,8 @@
         self->instance->pBitRevTable = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -1987,8 +1987,8 @@
         self->instance->pBitRevTable = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -2075,8 +2075,8 @@
         self->instance->pBitRevTable = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -2166,8 +2166,8 @@
         self->instance->pBitRevTable = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -2257,8 +2257,8 @@
         self->instance->pBitRevTable = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -2336,8 +2336,8 @@
         self->instance->pBitRevTable = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -2376,6 +2376,83 @@
 
 MLTYPE(arm_cfft_instance_q31,arm_cfft_instance_q31_new,arm_cfft_instance_q31_dealloc,arm_cfft_instance_q31_init,arm_cfft_instance_q31_methods);
 
+typedef struct {
+    PyObject_HEAD
+    arm_cfft_instance_f64 *instance;
+} ml_arm_cfft_instance_f64Object;
+
+
+static void
+arm_cfft_instance_f64_dealloc(ml_arm_cfft_instance_f64Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_cfft_instance_f64_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_cfft_instance_f64Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_cfft_instance_f64Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_cfft_instance_f64));
+
+        self->instance->pTwiddle = NULL;
+        self->instance->pBitRevTable = NULL;
+
+    }
+
+    return (PyObject *)self;
+}
+
+static int
+arm_cfft_instance_f64_init(ml_arm_cfft_instance_f64Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pTwiddle=NULL;
+    PyObject *pBitRevTable=NULL;
+    char *kwlist[] = {
+        "fftLen","bitRevLength",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|hh", kwlist,&self->instance->fftLen
+,&self->instance->bitRevLength
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_cfft_instance_f64,fftLen,"h");
+GETFIELD(arm_cfft_instance_f64,bitRevLength,"h");
+
+
+static PyMethodDef arm_cfft_instance_f64_methods[] = {
+
+    {"fftLen", (PyCFunction) Method_arm_cfft_instance_f64_fftLen,METH_NOARGS,"fftLen"},
+    {"bitRevLength", (PyCFunction) Method_arm_cfft_instance_f64_bitRevLength,METH_NOARGS,"bitRevLength"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_cfft_instance_f64,arm_cfft_instance_f64_new,arm_cfft_instance_f64_dealloc,arm_cfft_instance_f64_init,arm_cfft_instance_f64_methods);
+
 
 typedef struct {
     PyObject_HEAD
@@ -2415,8 +2492,8 @@
         self->instance->pBitRevTable = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -2495,8 +2572,8 @@
         self->instance->pCfft = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -2582,8 +2659,8 @@
         self->instance->pCfft = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -2669,8 +2746,8 @@
         self->instance->pCfft = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -2722,6 +2799,83 @@
 
 typedef struct {
     PyObject_HEAD
+    arm_rfft_fast_instance_f64 *instance;
+} ml_arm_rfft_fast_instance_f64Object;
+
+
+static void
+arm_rfft_fast_instance_f64_dealloc(ml_arm_rfft_fast_instance_f64Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_rfft_fast_instance_f64_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_rfft_fast_instance_f64Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_rfft_fast_instance_f64Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_rfft_fast_instance_f64));
+
+        self->instance->pTwiddleRFFT = NULL;
+
+    }
+
+
+    return (PyObject *)self;
+}
+
+static int
+arm_rfft_fast_instance_f64_init(ml_arm_rfft_fast_instance_f64Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pTwiddleRFFT=NULL;
+char *kwlist[] = {
+"Sint","fftLenRFFT",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|?h", kwlist,&self->instance->Sint
+,&self->instance->fftLenRFFT
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_rfft_fast_instance_f64,Sint,"?");
+GETFIELD(arm_rfft_fast_instance_f64,fftLenRFFT,"h");
+
+
+static PyMethodDef arm_rfft_fast_instance_f64_methods[] = {
+
+    {"Sint", (PyCFunction) Method_arm_rfft_fast_instance_f64_Sint,METH_NOARGS,"Sint"},
+    {"fftLenRFFT", (PyCFunction) Method_arm_rfft_fast_instance_f64_fftLenRFFT,METH_NOARGS,"fftLenRFFT"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_rfft_fast_instance_f64,arm_rfft_fast_instance_f64_new,arm_rfft_fast_instance_f64_dealloc,arm_rfft_fast_instance_f64_init,arm_rfft_fast_instance_f64_methods);
+
+
+typedef struct {
+    PyObject_HEAD
     arm_rfft_fast_instance_f32 *instance;
 } ml_arm_rfft_fast_instance_f32Object;
 
@@ -2757,8 +2911,8 @@
         self->instance->pTwiddleRFFT = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -2837,8 +2991,8 @@
         self->instance->pCfft = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -2923,8 +3077,8 @@
         self->instance->pCfft = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -3009,8 +3163,8 @@
         self->instance->pCfft = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -3105,8 +3259,8 @@
         self->instance->pState = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -3196,8 +3350,8 @@
         self->instance->pState = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -3287,8 +3441,8 @@
         self->instance->pState = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -3378,8 +3532,8 @@
         self->instance->pState = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -3469,8 +3623,8 @@
         self->instance->pState = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -3560,8 +3714,8 @@
         self->instance->pState = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -3651,8 +3805,8 @@
         self->instance->pCoeffs = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -3742,8 +3896,8 @@
         self->instance->pCoeffs = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -3830,8 +3984,8 @@
         self->instance->pCoeffs = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -3918,8 +4072,8 @@
         self->instance->pCoeffs = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -4006,8 +4160,8 @@
         self->instance->pCoeffs = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -4094,8 +4248,8 @@
         self->instance->pCoeffs = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -4182,8 +4336,8 @@
         self->instance->pCoeffs = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -4277,8 +4431,8 @@
         self->instance->pvCoeffs = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -4377,8 +4531,8 @@
         self->instance->pvCoeffs = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -4477,8 +4631,8 @@
         self->instance->pvCoeffs = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -4570,8 +4724,8 @@
         self->instance->pCoeffs = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -4661,8 +4815,8 @@
         self->instance->pCoeffs = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -4755,8 +4909,8 @@
         self->instance->pCoeffs = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -4849,8 +5003,8 @@
         self->instance->pCoeffs = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -4948,8 +5102,8 @@
         self->instance->recipTable = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -5050,8 +5204,8 @@
         self->instance->recipTable = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -5158,8 +5312,8 @@
         self->instance->pTapDelay = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -5262,8 +5416,8 @@
         self->instance->pTapDelay = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -5366,8 +5520,8 @@
         self->instance->pTapDelay = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -5470,8 +5624,8 @@
         self->instance->pTapDelay = NULL;
 
     }
- 
-   
+
+
     return (PyObject *)self;
 }
 
@@ -5597,7 +5751,7 @@
   {
 
     GETARGUMENT(pRecipTable,NPY_INT32,int32_t,int32_t);
-    
+
     dst=PyMem_Malloc(sizeof(q31_t)*1);
 
 
@@ -5630,7 +5784,7 @@
   {
 
     GETARGUMENT(pRecipTable,NPY_INT16,int16_t,int16_t);
-    
+
     dst=PyMem_Malloc(sizeof(q15_t)*1);
 
 
@@ -5666,7 +5820,7 @@
     ml_arm_fir_instance_q7Object *selfS = (ml_arm_fir_instance_q7Object *)S;
     GETARGUMENT(pSrc,NPY_BYTE,int8_t,q7_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q7_t)*blockSize);
 
 
@@ -5728,7 +5882,7 @@
     ml_arm_fir_instance_q15Object *selfS = (ml_arm_fir_instance_q15Object *)S;
     GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q15_t)*blockSize);
 
 
@@ -5762,7 +5916,7 @@
     ml_arm_fir_instance_q15Object *selfS = (ml_arm_fir_instance_q15Object *)S;
     GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q15_t)*blockSize);
 
 
@@ -5829,7 +5983,7 @@
     ml_arm_fir_instance_q31Object *selfS = (ml_arm_fir_instance_q31Object *)S;
     GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
 
 
@@ -5863,7 +6017,7 @@
     ml_arm_fir_instance_q31Object *selfS = (ml_arm_fir_instance_q31Object *)S;
     GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
 
 
@@ -5925,7 +6079,7 @@
     ml_arm_fir_instance_f32Object *selfS = (ml_arm_fir_instance_f32Object *)S;
     GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(float32_t)*blockSize);
 
 
@@ -5987,7 +6141,7 @@
     ml_arm_biquad_casd_df1_inst_q15Object *selfS = (ml_arm_biquad_casd_df1_inst_q15Object *)S;
     GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q15_t)*blockSize);
 
 
@@ -6048,7 +6202,7 @@
     ml_arm_biquad_casd_df1_inst_q15Object *selfS = (ml_arm_biquad_casd_df1_inst_q15Object *)S;
     GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q15_t)*blockSize);
 
 
@@ -6082,7 +6236,7 @@
     ml_arm_biquad_casd_df1_inst_q31Object *selfS = (ml_arm_biquad_casd_df1_inst_q31Object *)S;
     GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
 
 
@@ -6116,7 +6270,7 @@
     ml_arm_biquad_casd_df1_inst_q31Object *selfS = (ml_arm_biquad_casd_df1_inst_q31Object *)S;
     GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
 
 
@@ -6177,7 +6331,7 @@
     ml_arm_biquad_casd_df1_inst_f32Object *selfS = (ml_arm_biquad_casd_df1_inst_f32Object *)S;
     GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(float32_t)*blockSize);
 
 
@@ -7054,7 +7208,7 @@
     GETARGUMENT(pSrcA,NPY_BYTE,int8_t,q7_t);
     GETARGUMENT(pSrcB,NPY_BYTE,int8_t,q7_t);
     blockSize = arraySizepSrcA ;
-    
+
     pDst=PyMem_Malloc(sizeof(q7_t)*blockSize);
 
 
@@ -7090,7 +7244,7 @@
     GETARGUMENT(pSrcA,NPY_INT16,int16_t,int16_t);
     GETARGUMENT(pSrcB,NPY_INT16,int16_t,int16_t);
     blockSize = arraySizepSrcA ;
-    
+
     pDst=PyMem_Malloc(sizeof(q15_t)*blockSize);
 
 
@@ -7126,7 +7280,7 @@
     GETARGUMENT(pSrcA,NPY_INT32,int32_t,int32_t);
     GETARGUMENT(pSrcB,NPY_INT32,int32_t,int32_t);
     blockSize = arraySizepSrcA ;
-    
+
     pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
 
 
@@ -7162,7 +7316,7 @@
     GETARGUMENT(pSrcA,NPY_DOUBLE,double,float32_t);
     GETARGUMENT(pSrcB,NPY_DOUBLE,double,float32_t);
     blockSize = arraySizepSrcA ;
-    
+
     pDst=PyMem_Malloc(sizeof(float32_t)*blockSize);
 
 
@@ -7537,6 +7691,35 @@
 }
 
 
+
+static PyObject *
+cmsis_arm_cfft_f64(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *p1=NULL; // input
+  float64_t *p1_converted=NULL; // input
+  uint32_t ifftFlag; // input
+  uint32_t bitReverseFlag; // input
+
+  if (PyArg_ParseTuple(args,"OOii",&S,&p1,&ifftFlag,&bitReverseFlag))
+  {
+
+    ml_arm_cfft_instance_f64Object *selfS = (ml_arm_cfft_instance_f64Object *)S;
+    GETARGUMENT(p1,NPY_DOUBLE,double,float64_t);
+
+    arm_cfft_f64(selfS->instance,p1_converted,(uint8_t)ifftFlag,(uint8_t)bitReverseFlag);
+    FLOATARRAY1(p1OBJ,2*selfS->instance->fftLen,p1_converted);
+
+    PyObject *pythonResult = Py_BuildValue("O",p1OBJ);
+
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
 static PyObject *
 cmsis_arm_cfft_f32(PyObject *obj, PyObject *args)
 {
@@ -7606,7 +7789,7 @@
 
     ml_arm_rfft_instance_q15Object *selfS = (ml_arm_rfft_instance_q15Object *)S;
     GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
-    
+
     pDst=PyMem_Malloc(sizeof(q15_t)*2*selfS->instance->fftLenReal);
 
 
@@ -7665,7 +7848,7 @@
 
     ml_arm_rfft_instance_q31Object *selfS = (ml_arm_rfft_instance_q31Object *)S;
     GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
-    
+
     pDst=PyMem_Malloc(sizeof(q31_t)*2*selfS->instance->fftLenReal);
 
 
@@ -7726,7 +7909,7 @@
 
     ml_arm_rfft_instance_f32Object *selfS = (ml_arm_rfft_instance_f32Object *)S;
     GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
-    
+
     pDst=PyMem_Malloc(sizeof(float32_t)*2*selfS->instance->fftLenReal);
 
 
@@ -7743,6 +7926,256 @@
   return(NULL);
 }
 
+static PyObject *
+cmsis_arm_rfft_fast_init_f64(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint16_t fftLen; // input
+
+  if (PyArg_ParseTuple(args,"Oh",&S,&fftLen))
+  {
+
+    ml_arm_rfft_fast_instance_f64Object *selfS = (ml_arm_rfft_fast_instance_f64Object *)S;
+
+    arm_status returnValue = arm_rfft_fast_init_f64(selfS->instance,fftLen);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_rfft_32_fast_init_f64(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+
+  if (PyArg_ParseTuple(args,"O",&S))
+  {
+
+    ml_arm_rfft_fast_instance_f64Object *selfS = (ml_arm_rfft_fast_instance_f64Object *)S;
+
+    arm_status returnValue = arm_rfft_32_fast_init_f64(selfS->instance);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_rfft_64_fast_init_f64(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+
+  if (PyArg_ParseTuple(args,"O",&S))
+  {
+
+    ml_arm_rfft_fast_instance_f64Object *selfS = (ml_arm_rfft_fast_instance_f64Object *)S;
+
+    arm_status returnValue = arm_rfft_64_fast_init_f64(selfS->instance);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_rfft_128_fast_init_f64(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+
+  if (PyArg_ParseTuple(args,"O",&S))
+  {
+
+    ml_arm_rfft_fast_instance_f64Object *selfS = (ml_arm_rfft_fast_instance_f64Object *)S;
+
+    arm_status returnValue = arm_rfft_128_fast_init_f64(selfS->instance);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_rfft_256_fast_init_f64(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+
+  if (PyArg_ParseTuple(args,"O",&S))
+  {
+
+    ml_arm_rfft_fast_instance_f64Object *selfS = (ml_arm_rfft_fast_instance_f64Object *)S;
+
+    arm_status returnValue = arm_rfft_256_fast_init_f64(selfS->instance);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_rfft_512_fast_init_f64(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+
+  if (PyArg_ParseTuple(args,"O",&S))
+  {
+
+    ml_arm_rfft_fast_instance_f64Object *selfS = (ml_arm_rfft_fast_instance_f64Object *)S;
+
+    arm_status returnValue = arm_rfft_512_fast_init_f64(selfS->instance);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_rfft_1024_fast_init_f64(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+
+  if (PyArg_ParseTuple(args,"O",&S))
+  {
+
+    ml_arm_rfft_fast_instance_f64Object *selfS = (ml_arm_rfft_fast_instance_f64Object *)S;
+
+    arm_status returnValue = arm_rfft_1024_fast_init_f64(selfS->instance);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_rfft_2048_fast_init_f64(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+
+  if (PyArg_ParseTuple(args,"O",&S))
+  {
+
+    ml_arm_rfft_fast_instance_f64Object *selfS = (ml_arm_rfft_fast_instance_f64Object *)S;
+
+    arm_status returnValue = arm_rfft_2048_fast_init_f64(selfS->instance);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_rfft_4096_fast_init_f64(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+
+  if (PyArg_ParseTuple(args,"O",&S))
+  {
+
+    ml_arm_rfft_fast_instance_f64Object *selfS = (ml_arm_rfft_fast_instance_f64Object *)S;
+
+    arm_status returnValue = arm_rfft_4096_fast_init_f64(selfS->instance);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_rfft_fast_f64(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *p=NULL; // input
+  float64_t *p_converted=NULL; // input
+  float64_t *pOut=NULL; // output
+  uint32_t ifftFlag; // input
+
+  if (PyArg_ParseTuple(args,"OOi",&S,&p,&ifftFlag))
+  {
+
+    ml_arm_rfft_fast_instance_f64Object *selfS = (ml_arm_rfft_fast_instance_f64Object *)S;
+    GETARGUMENT(p,NPY_DOUBLE,double,float64_t);
+
+    pOut=PyMem_Malloc(sizeof(float64_t)*2*selfS->instance->fftLenRFFT);
+
+
+    arm_rfft_fast_f64(selfS->instance,p_converted,pOut,(uint8_t)ifftFlag);
+ FLOATARRAY1(pOutOBJ,2*selfS->instance->fftLenRFFT,pOut);
+
+    PyObject *pythonResult = Py_BuildValue("O",pOutOBJ);
+
+    FREEARGUMENT(p_converted);
+    Py_DECREF(pOutOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
 
 static PyObject *
 cmsis_arm_rfft_fast_init_f32(PyObject *obj, PyObject *args)
@@ -7976,7 +8409,7 @@
 
     ml_arm_rfft_fast_instance_f32Object *selfS = (ml_arm_rfft_fast_instance_f32Object *)S;
     GETARGUMENT(p,NPY_DOUBLE,double,float32_t);
-    
+
     pOut=PyMem_Malloc(sizeof(float32_t)*2*selfS->instance->fftLenRFFT);
 
 
@@ -8200,7 +8633,7 @@
     GETARGUMENT(pSrcA,NPY_DOUBLE,double,float32_t);
     GETARGUMENT(pSrcB,NPY_DOUBLE,double,float32_t);
     blockSize = arraySizepSrcA ;
-    
+
     pDst=PyMem_Malloc(sizeof(float32_t)*blockSize);
 
 
@@ -8236,7 +8669,7 @@
     GETARGUMENT(pSrcA,NPY_BYTE,int8_t,q7_t);
     GETARGUMENT(pSrcB,NPY_BYTE,int8_t,q7_t);
     blockSize = arraySizepSrcA ;
-    
+
     pDst=PyMem_Malloc(sizeof(q7_t)*blockSize);
 
 
@@ -8272,7 +8705,7 @@
     GETARGUMENT(pSrcA,NPY_INT16,int16_t,int16_t);
     GETARGUMENT(pSrcB,NPY_INT16,int16_t,int16_t);
     blockSize = arraySizepSrcA ;
-    
+
     pDst=PyMem_Malloc(sizeof(q15_t)*blockSize);
 
 
@@ -8308,7 +8741,7 @@
     GETARGUMENT(pSrcA,NPY_INT32,int32_t,int32_t);
     GETARGUMENT(pSrcB,NPY_INT32,int32_t,int32_t);
     blockSize = arraySizepSrcA ;
-    
+
     pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
 
 
@@ -8344,7 +8777,7 @@
     GETARGUMENT(pSrcA,NPY_DOUBLE,double,float32_t);
     GETARGUMENT(pSrcB,NPY_DOUBLE,double,float32_t);
     blockSize = arraySizepSrcA ;
-    
+
     pDst=PyMem_Malloc(sizeof(float32_t)*blockSize);
 
 
@@ -8380,7 +8813,7 @@
     GETARGUMENT(pSrcA,NPY_BYTE,int8_t,q7_t);
     GETARGUMENT(pSrcB,NPY_BYTE,int8_t,q7_t);
     blockSize = arraySizepSrcA ;
-    
+
     pDst=PyMem_Malloc(sizeof(q7_t)*blockSize);
 
 
@@ -8416,7 +8849,7 @@
     GETARGUMENT(pSrcA,NPY_INT16,int16_t,int16_t);
     GETARGUMENT(pSrcB,NPY_INT16,int16_t,int16_t);
     blockSize = arraySizepSrcA ;
-    
+
     pDst=PyMem_Malloc(sizeof(q15_t)*blockSize);
 
 
@@ -8452,7 +8885,7 @@
     GETARGUMENT(pSrcA,NPY_INT32,int32_t,int32_t);
     GETARGUMENT(pSrcB,NPY_INT32,int32_t,int32_t);
     blockSize = arraySizepSrcA ;
-    
+
     pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
 
 
@@ -8486,7 +8919,7 @@
 
     GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(float32_t)*blockSize);
 
 
@@ -8520,7 +8953,7 @@
 
     GETARGUMENT(pSrc,NPY_BYTE,int8_t,q7_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q7_t)*blockSize);
 
 
@@ -8554,7 +8987,7 @@
 
     GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q15_t)*blockSize);
 
 
@@ -8588,7 +9021,7 @@
 
     GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
 
 
@@ -8620,7 +9053,7 @@
 
     GETARGUMENT(pSrc,NPY_BYTE,int8_t,q7_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q7_t)*blockSize);
 
 
@@ -8652,7 +9085,7 @@
 
     GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(float32_t)*blockSize);
 
 
@@ -8684,7 +9117,7 @@
 
     GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q15_t)*blockSize);
 
 
@@ -8716,7 +9149,7 @@
 
     GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
 
 
@@ -8751,7 +9184,7 @@
     GETARGUMENT(pSrcA,NPY_DOUBLE,double,float32_t);
     GETARGUMENT(pSrcB,NPY_DOUBLE,double,float32_t);
     blockSize = arraySizepSrcA ;
-    
+
     result=PyMem_Malloc(sizeof(float32_t)*1);
 
 
@@ -8787,7 +9220,7 @@
     GETARGUMENT(pSrcA,NPY_BYTE,int8_t,q7_t);
     GETARGUMENT(pSrcB,NPY_BYTE,int8_t,q7_t);
     blockSize = arraySizepSrcA ;
-    
+
     result=PyMem_Malloc(sizeof(q31_t)*1);
 
 
@@ -8823,7 +9256,7 @@
     GETARGUMENT(pSrcA,NPY_INT16,int16_t,int16_t);
     GETARGUMENT(pSrcB,NPY_INT16,int16_t,int16_t);
     blockSize = arraySizepSrcA ;
-    
+
     result=PyMem_Malloc(sizeof(q63_t)*1);
 
 
@@ -8859,7 +9292,7 @@
     GETARGUMENT(pSrcA,NPY_INT32,int32_t,int32_t);
     GETARGUMENT(pSrcB,NPY_INT32,int32_t,int32_t);
     blockSize = arraySizepSrcA ;
-    
+
     result=PyMem_Malloc(sizeof(q63_t)*1);
 
 
@@ -8893,7 +9326,7 @@
 
     GETARGUMENT(pSrc,NPY_BYTE,int8_t,q7_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q7_t)*blockSize);
 
 
@@ -8926,7 +9359,7 @@
 
     GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q15_t)*blockSize);
 
 
@@ -8959,7 +9392,7 @@
 
     GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
 
 
@@ -8992,7 +9425,7 @@
 
     GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(float32_t)*blockSize);
 
 
@@ -9025,7 +9458,7 @@
 
     GETARGUMENT(pSrc,NPY_BYTE,int8_t,q7_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q7_t)*blockSize);
 
 
@@ -9058,7 +9491,7 @@
 
     GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q15_t)*blockSize);
 
 
@@ -9091,7 +9524,7 @@
 
     GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
 
 
@@ -9123,7 +9556,7 @@
 
     GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(float32_t)*blockSize);
 
 
@@ -9155,7 +9588,7 @@
 
     GETARGUMENT(pSrc,NPY_BYTE,int8_t,q7_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q7_t)*blockSize);
 
 
@@ -9187,7 +9620,7 @@
 
     GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q15_t)*blockSize);
 
 
@@ -9219,7 +9652,7 @@
 
     GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
 
 
@@ -9251,7 +9684,7 @@
 
     GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(float32_t)*blockSize);
 
 
@@ -9283,7 +9716,7 @@
 
     GETARGUMENT(pSrc,NPY_BYTE,int8_t,q7_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q7_t)*blockSize);
 
 
@@ -9315,7 +9748,7 @@
 
     GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q15_t)*blockSize);
 
 
@@ -9347,7 +9780,7 @@
 
     GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
 
 
@@ -9383,7 +9816,7 @@
     GETARGUMENT(pSrcA,NPY_DOUBLE,double,float32_t);
     GETARGUMENT(pSrcB,NPY_DOUBLE,double,float32_t);
     uint32_t outputLength = srcALen + srcBLen - 1 ;
-    
+
     pDst=PyMem_Malloc(sizeof(float32_t)*outputLength);
 
 
@@ -9426,7 +9859,7 @@
     GETARGUMENT(pScratch1,NPY_INT16,int16_t,int16_t);
     GETARGUMENT(pScratch2,NPY_INT16,int16_t,int16_t);
     uint32_t outputLength = srcALen + srcBLen - 1 ;
-    
+
     pDst=PyMem_Malloc(sizeof(q15_t)*outputLength);
 
 
@@ -9465,7 +9898,7 @@
     GETARGUMENT(pSrcA,NPY_INT16,int16_t,int16_t);
     GETARGUMENT(pSrcB,NPY_INT16,int16_t,int16_t);
     uint32_t outputLength = srcALen + srcBLen - 1 ;
-    
+
     pDst=PyMem_Malloc(sizeof(q15_t)*outputLength);
 
 
@@ -9502,7 +9935,7 @@
     GETARGUMENT(pSrcA,NPY_INT16,int16_t,int16_t);
     GETARGUMENT(pSrcB,NPY_INT16,int16_t,int16_t);
     uint32_t outputLength = srcALen + srcBLen - 1 ;
-    
+
     pDst=PyMem_Malloc(sizeof(q15_t)*outputLength);
 
 
@@ -9545,7 +9978,7 @@
     GETARGUMENT(pScratch1,NPY_INT16,int16_t,int16_t);
     GETARGUMENT(pScratch2,NPY_INT16,int16_t,int16_t);
     uint32_t outputLength = srcALen + srcBLen - 1 ;
-    
+
     pDst=PyMem_Malloc(sizeof(q15_t)*outputLength);
 
 
@@ -9584,7 +10017,7 @@
     GETARGUMENT(pSrcA,NPY_INT32,int32_t,int32_t);
     GETARGUMENT(pSrcB,NPY_INT32,int32_t,int32_t);
     uint32_t outputLength = srcALen + srcBLen - 1 ;
-    
+
     pDst=PyMem_Malloc(sizeof(q31_t)*outputLength);
 
 
@@ -9621,7 +10054,7 @@
     GETARGUMENT(pSrcA,NPY_INT32,int32_t,int32_t);
     GETARGUMENT(pSrcB,NPY_INT32,int32_t,int32_t);
     uint32_t outputLength = srcALen + srcBLen - 1 ;
-    
+
     pDst=PyMem_Malloc(sizeof(q31_t)*outputLength);
 
 
@@ -9664,7 +10097,7 @@
     GETARGUMENT(pScratch1,NPY_INT16,int16_t,int16_t);
     GETARGUMENT(pScratch2,NPY_INT16,int16_t,int16_t);
     uint32_t outputLength = srcALen + srcBLen - 1 ;
-    
+
     pDst=PyMem_Malloc(sizeof(q7_t)*outputLength);
 
 
@@ -9703,7 +10136,7 @@
     GETARGUMENT(pSrcA,NPY_BYTE,int8_t,q7_t);
     GETARGUMENT(pSrcB,NPY_BYTE,int8_t,q7_t);
     uint32_t outputLength = srcALen + srcBLen - 1 ;
-    
+
     pDst=PyMem_Malloc(sizeof(q7_t)*outputLength);
 
 
@@ -9742,7 +10175,7 @@
     GETARGUMENT(pSrcA,NPY_DOUBLE,double,float32_t);
     GETARGUMENT(pSrcB,NPY_DOUBLE,double,float32_t);
     uint32_t outputLength = srcALen + srcBLen - 1 ;
-    
+
     pDst=PyMem_Malloc(sizeof(float32_t)*outputLength);
 
 
@@ -9789,7 +10222,7 @@
     GETARGUMENT(pScratch1,NPY_INT16,int16_t,int16_t);
     GETARGUMENT(pScratch2,NPY_INT16,int16_t,int16_t);
     uint32_t outputLength = srcALen + srcBLen - 1 ;
-    
+
     pDst=PyMem_Malloc(sizeof(q15_t)*outputLength);
 
 
@@ -9832,7 +10265,7 @@
     GETARGUMENT(pSrcA,NPY_INT16,int16_t,int16_t);
     GETARGUMENT(pSrcB,NPY_INT16,int16_t,int16_t);
     uint32_t outputLength = srcALen + srcBLen - 1 ;
-    
+
     pDst=PyMem_Malloc(sizeof(q15_t)*outputLength);
 
 
@@ -9873,7 +10306,7 @@
     GETARGUMENT(pSrcA,NPY_INT16,int16_t,int16_t);
     GETARGUMENT(pSrcB,NPY_INT16,int16_t,int16_t);
     uint32_t outputLength = srcALen + srcBLen - 1 ;
-    
+
     pDst=PyMem_Malloc(sizeof(q15_t)*outputLength);
 
 
@@ -9920,7 +10353,7 @@
     GETARGUMENT(pScratch1,NPY_INT16,int16_t,int16_t);
     GETARGUMENT(pScratch2,NPY_INT16,int16_t,int16_t);
     uint32_t outputLength = srcALen + srcBLen - 1 ;
-    
+
     pDst=PyMem_Malloc(sizeof(q15_t)*outputLength);
 
 
@@ -9963,7 +10396,7 @@
     GETARGUMENT(pSrcA,NPY_INT32,int32_t,int32_t);
     GETARGUMENT(pSrcB,NPY_INT32,int32_t,int32_t);
     uint32_t outputLength = srcALen + srcBLen - 1 ;
-    
+
     pDst=PyMem_Malloc(sizeof(q31_t)*outputLength);
 
 
@@ -10004,7 +10437,7 @@
     GETARGUMENT(pSrcA,NPY_INT32,int32_t,int32_t);
     GETARGUMENT(pSrcB,NPY_INT32,int32_t,int32_t);
     uint32_t outputLength = srcALen + srcBLen - 1 ;
-    
+
     pDst=PyMem_Malloc(sizeof(q31_t)*outputLength);
 
 
@@ -10051,7 +10484,7 @@
     GETARGUMENT(pScratch1,NPY_INT16,int16_t,int16_t);
     GETARGUMENT(pScratch2,NPY_INT16,int16_t,int16_t);
     uint32_t outputLength = srcALen + srcBLen - 1 ;
-    
+
     pDst=PyMem_Malloc(sizeof(q7_t)*outputLength);
 
 
@@ -10094,7 +10527,7 @@
     GETARGUMENT(pSrcA,NPY_BYTE,int8_t,q7_t);
     GETARGUMENT(pSrcB,NPY_BYTE,int8_t,q7_t);
     uint32_t outputLength = srcALen + srcBLen - 1 ;
-    
+
     pDst=PyMem_Malloc(sizeof(q7_t)*outputLength);
 
 
@@ -10131,7 +10564,7 @@
     ml_arm_fir_decimate_instance_f32Object *selfS = (ml_arm_fir_decimate_instance_f32Object *)S;
     GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(float32_t)*blockSize);
 
 
@@ -10199,7 +10632,7 @@
     ml_arm_fir_decimate_instance_q15Object *selfS = (ml_arm_fir_decimate_instance_q15Object *)S;
     GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q15_t)*blockSize);
 
 
@@ -10233,7 +10666,7 @@
     ml_arm_fir_decimate_instance_q15Object *selfS = (ml_arm_fir_decimate_instance_q15Object *)S;
     GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q15_t)*blockSize);
 
 
@@ -10301,7 +10734,7 @@
     ml_arm_fir_decimate_instance_q31Object *selfS = (ml_arm_fir_decimate_instance_q31Object *)S;
     GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
 
 
@@ -10335,7 +10768,7 @@
     ml_arm_fir_decimate_instance_q31Object *selfS = (ml_arm_fir_decimate_instance_q31Object *)S;
     GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
 
 
@@ -10403,7 +10836,7 @@
     ml_arm_fir_interpolate_instance_q15Object *selfS = (ml_arm_fir_interpolate_instance_q15Object *)S;
     GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q15_t)*blockSize);
 
 
@@ -10471,7 +10904,7 @@
     ml_arm_fir_interpolate_instance_q31Object *selfS = (ml_arm_fir_interpolate_instance_q31Object *)S;
     GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
 
 
@@ -10539,7 +10972,7 @@
     ml_arm_fir_interpolate_instance_f32Object *selfS = (ml_arm_fir_interpolate_instance_f32Object *)S;
     GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(float32_t)*blockSize);
 
 
@@ -10607,7 +11040,7 @@
 
     GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
 
 
@@ -10668,7 +11101,7 @@
     ml_arm_biquad_cascade_df2T_instance_f32Object *selfS = (ml_arm_biquad_cascade_df2T_instance_f32Object *)S;
     GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(float32_t)*blockSize);
 
 
@@ -10702,7 +11135,7 @@
     ml_arm_biquad_cascade_stereo_df2T_instance_f32Object *selfS = (ml_arm_biquad_cascade_stereo_df2T_instance_f32Object *)S;
     GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(float32_t)*blockSize);
 
 
@@ -10736,7 +11169,7 @@
     ml_arm_biquad_cascade_df2T_instance_f64Object *selfS = (ml_arm_biquad_cascade_df2T_instance_f64Object *)S;
     GETARGUMENT(pSrc,NPY_FLOAT64,float64_t,float64_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(float64_t)*blockSize);
 
 
@@ -10874,7 +11307,7 @@
     ml_arm_fir_lattice_instance_q15Object *selfS = (ml_arm_fir_lattice_instance_q15Object *)S;
     GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q15_t)*blockSize);
 
 
@@ -10934,7 +11367,7 @@
     ml_arm_fir_lattice_instance_q31Object *selfS = (ml_arm_fir_lattice_instance_q31Object *)S;
     GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
 
 
@@ -10994,7 +11427,7 @@
     ml_arm_fir_lattice_instance_f32Object *selfS = (ml_arm_fir_lattice_instance_f32Object *)S;
     GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(float32_t)*blockSize);
 
 
@@ -11028,7 +11461,7 @@
     ml_arm_iir_lattice_instance_f32Object *selfS = (ml_arm_iir_lattice_instance_f32Object *)S;
     GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(float32_t)*blockSize);
 
 
@@ -11093,7 +11526,7 @@
     ml_arm_iir_lattice_instance_q31Object *selfS = (ml_arm_iir_lattice_instance_q31Object *)S;
     GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
 
 
@@ -11158,7 +11591,7 @@
     ml_arm_iir_lattice_instance_q15Object *selfS = (ml_arm_iir_lattice_instance_q15Object *)S;
     GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q15_t)*blockSize);
 
 
@@ -11231,6 +11664,29 @@
   return(NULL);
 }
 
+static PyObject *
+cmsis_arm_cfft_init_f64(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint16_t fftLen; // input
+
+  if (PyArg_ParseTuple(args,"Oh",&S,&fftLen))
+  {
+
+    ml_arm_cfft_instance_f64Object *selfS = (ml_arm_cfft_instance_f64Object *)S;
+
+    arm_status returnValue = arm_cfft_init_f64(selfS->instance,fftLen);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
 
 static PyObject *
 cmsis_arm_cfft_init_q31(PyObject *obj, PyObject *args)
@@ -11304,7 +11760,7 @@
     GETARGUMENT(pRef,NPY_DOUBLE,double,float32_t);
     GETARGUMENT(pErr,NPY_DOUBLE,double,float32_t);
     blockSize = arraySizepSrc ;
-    
+
     pOut=PyMem_Malloc(sizeof(float32_t)*blockSize);
 
 
@@ -11405,7 +11861,7 @@
     GETARGUMENT(pRef,NPY_INT16,int16_t,int16_t);
     GETARGUMENT(pErr,NPY_INT16,int16_t,int16_t);
     blockSize = arraySizepSrc ;
-    
+
     pOut=PyMem_Malloc(sizeof(q15_t)*blockSize);
 
 
@@ -11447,7 +11903,7 @@
     GETARGUMENT(pRef,NPY_INT32,int32_t,int32_t);
     GETARGUMENT(pErr,NPY_INT32,int32_t,int32_t);
     blockSize = arraySizepSrc ;
-    
+
     pOut=PyMem_Malloc(sizeof(q31_t)*blockSize);
 
 
@@ -11519,7 +11975,7 @@
     GETARGUMENT(pRef,NPY_DOUBLE,double,float32_t);
     GETARGUMENT(pErr,NPY_DOUBLE,double,float32_t);
     blockSize = arraySizepSrc ;
-    
+
     pOut=PyMem_Malloc(sizeof(float32_t)*blockSize);
 
 
@@ -11590,7 +12046,7 @@
     GETARGUMENT(pRef,NPY_INT32,int32_t,int32_t);
     GETARGUMENT(pErr,NPY_INT32,int32_t,int32_t);
     blockSize = arraySizepSrc ;
-    
+
     pOut=PyMem_Malloc(sizeof(q31_t)*blockSize);
 
 
@@ -11662,7 +12118,7 @@
     GETARGUMENT(pRef,NPY_INT16,int16_t,int16_t);
     GETARGUMENT(pErr,NPY_INT16,int16_t,int16_t);
     blockSize = arraySizepSrc ;
-    
+
     pOut=PyMem_Malloc(sizeof(q15_t)*blockSize);
 
 
@@ -11730,7 +12186,7 @@
     GETARGUMENT(pSrcA,NPY_DOUBLE,double,float32_t);
     GETARGUMENT(pSrcB,NPY_DOUBLE,double,float32_t);
     uint32_t outputLength = 2*MAX(srcALen,srcBLen) - 1 ;
-    
+
     pDst=PyMem_Malloc(sizeof(float32_t)*outputLength);
 
 
@@ -11770,7 +12226,7 @@
     GETARGUMENT(pSrcB,NPY_INT16,int16_t,int16_t);
     GETARGUMENT(pScratch,NPY_INT16,int16_t,int16_t);
     uint32_t outputLength = 2*MAX(srcALen,srcBLen) - 1 ;
-    
+
     pDst=PyMem_Malloc(sizeof(q15_t)*outputLength);
 
 
@@ -11808,7 +12264,7 @@
     GETARGUMENT(pSrcA,NPY_INT16,int16_t,int16_t);
     GETARGUMENT(pSrcB,NPY_INT16,int16_t,int16_t);
     uint32_t outputLength = 2*MAX(srcALen,srcBLen) - 1 ;
-    
+
     pDst=PyMem_Malloc(sizeof(q15_t)*outputLength);
 
 
@@ -11845,7 +12301,7 @@
     GETARGUMENT(pSrcA,NPY_INT16,int16_t,int16_t);
     GETARGUMENT(pSrcB,NPY_INT16,int16_t,int16_t);
     uint32_t outputLength = 2*MAX(srcALen,srcBLen) - 1 ;
-    
+
     pDst=PyMem_Malloc(sizeof(q15_t)*outputLength);
 
 
@@ -11885,7 +12341,7 @@
     GETARGUMENT(pSrcB,NPY_INT16,int16_t,int16_t);
     GETARGUMENT(pScratch,NPY_INT16,int16_t,int16_t);
     uint32_t outputLength = 2*MAX(srcALen,srcBLen) - 1 ;
-    
+
     pDst=PyMem_Malloc(sizeof(q15_t)*outputLength);
 
 
@@ -11923,7 +12379,7 @@
     GETARGUMENT(pSrcA,NPY_INT32,int32_t,int32_t);
     GETARGUMENT(pSrcB,NPY_INT32,int32_t,int32_t);
     uint32_t outputLength = 2*MAX(srcALen,srcBLen) - 1 ;
-    
+
     pDst=PyMem_Malloc(sizeof(q31_t)*outputLength);
 
 
@@ -11960,7 +12416,7 @@
     GETARGUMENT(pSrcA,NPY_INT32,int32_t,int32_t);
     GETARGUMENT(pSrcB,NPY_INT32,int32_t,int32_t);
     uint32_t outputLength = 2*MAX(srcALen,srcBLen) - 1 ;
-    
+
     pDst=PyMem_Malloc(sizeof(q31_t)*outputLength);
 
 
@@ -12003,7 +12459,7 @@
     GETARGUMENT(pScratch1,NPY_INT16,int16_t,int16_t);
     GETARGUMENT(pScratch2,NPY_INT16,int16_t,int16_t);
     uint32_t outputLength = 2*MAX(srcALen,srcBLen) - 1 ;
-    
+
     pDst=PyMem_Malloc(sizeof(q7_t)*outputLength);
 
 
@@ -12042,7 +12498,7 @@
     GETARGUMENT(pSrcA,NPY_BYTE,int8_t,q7_t);
     GETARGUMENT(pSrcB,NPY_BYTE,int8_t,q7_t);
     uint32_t outputLength = 2*MAX(srcALen,srcBLen) - 1 ;
-    
+
     pDst=PyMem_Malloc(sizeof(q7_t)*outputLength);
 
 
@@ -12080,7 +12536,7 @@
     GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
     GETARGUMENT(pScratchIn,NPY_DOUBLE,double,float32_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(float32_t)*blockSize);
 
 
@@ -12294,7 +12750,7 @@
     GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
     numSamples = arraySizepSrc ;
     numSamples = numSamples / 2;
-    
+
     pDst=PyMem_Malloc(sizeof(float32_t)*2*numSamples);
 
 
@@ -12327,7 +12783,7 @@
     GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
     numSamples = arraySizepSrc ;
     numSamples = numSamples / 2;
-    
+
     pDst=PyMem_Malloc(sizeof(q31_t)*2*numSamples);
 
 
@@ -12360,7 +12816,7 @@
     GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
     numSamples = arraySizepSrc ;
     numSamples = numSamples / 2;
-    
+
     pDst=PyMem_Malloc(sizeof(q15_t)*2*numSamples);
 
 
@@ -12393,7 +12849,7 @@
     GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
     numSamples = arraySizepSrc ;
     numSamples = numSamples / 2;
-    
+
     pDst=PyMem_Malloc(sizeof(float32_t)*2*numSamples);
 
 
@@ -12426,7 +12882,7 @@
     GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
     numSamples = arraySizepSrc ;
     numSamples = numSamples / 2;
-    
+
     pDst=PyMem_Malloc(sizeof(q31_t)*2*numSamples);
 
 
@@ -12459,7 +12915,7 @@
     GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
     numSamples = arraySizepSrc ;
     numSamples = numSamples / 2;
-    
+
     pDst=PyMem_Malloc(sizeof(q15_t)*2*numSamples);
 
 
@@ -12682,7 +13138,7 @@
 
     GETARGUMENT(pSrc,NPY_BYTE,int8_t,q7_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
 
 
@@ -12768,7 +13224,7 @@
 
     GETARGUMENT(pSrc,NPY_BYTE,int8_t,q7_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q15_t)*blockSize);
 
 
@@ -12858,7 +13314,7 @@
 
     GETARGUMENT(pSrc,NPY_BYTE,int8_t,q7_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(float32_t)*blockSize);
 
 
@@ -12948,7 +13404,7 @@
 
     GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(float32_t)*blockSize);
 
 
@@ -13223,7 +13679,7 @@
   if (PyArg_ParseTuple(args,"f",&in))
   {
 
-    
+
     pOut=PyMem_Malloc(sizeof(float32_t)*1);
 
 
@@ -13252,7 +13708,7 @@
   if (PyArg_ParseTuple(args,"i",&in))
   {
 
-    
+
     pOut=PyMem_Malloc(sizeof(q31_t)*1);
 
 
@@ -13281,7 +13737,7 @@
   if (PyArg_ParseTuple(args,"h",&in))
   {
 
-    
+
     pOut=PyMem_Malloc(sizeof(q15_t)*1);
 
 
@@ -13416,7 +13872,7 @@
 
     GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
     blockSize = arraySizepSrc ;
-    
+
     pResult=PyMem_Malloc(sizeof(q63_t)*1);
 
 
@@ -13448,7 +13904,7 @@
 
     GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
     blockSize = arraySizepSrc ;
-    
+
     pResult=PyMem_Malloc(sizeof(float32_t)*1);
 
 
@@ -13480,7 +13936,7 @@
 
     GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
     blockSize = arraySizepSrc ;
-    
+
     pResult=PyMem_Malloc(sizeof(q63_t)*1);
 
 
@@ -13512,7 +13968,7 @@
 
     GETARGUMENT(pSrc,NPY_BYTE,int8_t,q7_t);
     blockSize = arraySizepSrc ;
-    
+
     pResult=PyMem_Malloc(sizeof(q31_t)*1);
 
 
@@ -13544,7 +14000,7 @@
 
     GETARGUMENT(pSrc,NPY_BYTE,int8_t,q7_t);
     blockSize = arraySizepSrc ;
-    
+
     pResult=PyMem_Malloc(sizeof(q7_t)*1);
 
 
@@ -13576,7 +14032,7 @@
 
     GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
     blockSize = arraySizepSrc ;
-    
+
     pResult=PyMem_Malloc(sizeof(q15_t)*1);
 
 
@@ -13608,7 +14064,7 @@
 
     GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
     blockSize = arraySizepSrc ;
-    
+
     pResult=PyMem_Malloc(sizeof(q31_t)*1);
 
 
@@ -13640,7 +14096,7 @@
 
     GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
     blockSize = arraySizepSrc ;
-    
+
     pResult=PyMem_Malloc(sizeof(float32_t)*1);
 
 
@@ -13672,7 +14128,7 @@
 
     GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
     blockSize = arraySizepSrc ;
-    
+
     pResult=PyMem_Malloc(sizeof(float32_t)*1);
 
 
@@ -13704,7 +14160,7 @@
 
     GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
     blockSize = arraySizepSrc ;
-    
+
     pResult=PyMem_Malloc(sizeof(q31_t)*1);
 
 
@@ -13736,7 +14192,7 @@
 
     GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
     blockSize = arraySizepSrc ;
-    
+
     pResult=PyMem_Malloc(sizeof(q15_t)*1);
 
 
@@ -13768,7 +14224,7 @@
 
     GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
     blockSize = arraySizepSrc ;
-    
+
     pResult=PyMem_Malloc(sizeof(float32_t)*1);
 
 
@@ -13800,7 +14256,7 @@
 
     GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
     blockSize = arraySizepSrc ;
-    
+
     pResult=PyMem_Malloc(sizeof(q31_t)*1);
 
 
@@ -13832,7 +14288,7 @@
 
     GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
     blockSize = arraySizepSrc ;
-    
+
     pResult=PyMem_Malloc(sizeof(q15_t)*1);
 
 
@@ -13864,7 +14320,7 @@
 
     GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
     blockSize = arraySizepSrc ;
-    
+
     pResult=PyMem_Malloc(sizeof(float32_t)*1);
 
 
@@ -13896,7 +14352,7 @@
 
     GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
     blockSize = arraySizepSrc ;
-    
+
     pResult=PyMem_Malloc(sizeof(q31_t)*1);
 
 
@@ -13928,7 +14384,7 @@
 
     GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
     blockSize = arraySizepSrc ;
-    
+
     pResult=PyMem_Malloc(sizeof(q15_t)*1);
 
 
@@ -13961,7 +14417,7 @@
     GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
     numSamples = arraySizepSrc ;
     numSamples = numSamples / 2;
-    
+
     pDst=PyMem_Malloc(sizeof(float32_t)*2*numSamples);
 
 
@@ -13994,7 +14450,7 @@
     GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
     numSamples = arraySizepSrc ;
     numSamples = numSamples / 2;
-    
+
     pDst=PyMem_Malloc(sizeof(q31_t)*2*numSamples);
 
 
@@ -14027,7 +14483,7 @@
     GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
     numSamples = arraySizepSrc ;
     numSamples = numSamples / 2;
-    
+
     pDst=PyMem_Malloc(sizeof(q15_t)*2*numSamples);
 
 
@@ -14064,10 +14520,10 @@
     GETARGUMENT(pSrcB,NPY_INT16,int16_t,int16_t);
     numSamples = arraySizepSrcA ;
     numSamples = numSamples / 2;
-    
+
     realResult=PyMem_Malloc(sizeof(q31_t)*1);
 
-    
+
     imagResult=PyMem_Malloc(sizeof(q31_t)*1);
 
 
@@ -14107,10 +14563,10 @@
     GETARGUMENT(pSrcB,NPY_INT32,int32_t,int32_t);
     numSamples = arraySizepSrcA ;
     numSamples = numSamples / 2;
-    
+
     realResult=PyMem_Malloc(sizeof(q63_t)*1);
 
-    
+
     imagResult=PyMem_Malloc(sizeof(q63_t)*1);
 
 
@@ -14150,10 +14606,10 @@
     GETARGUMENT(pSrcB,NPY_DOUBLE,double,float32_t);
     numSamples = arraySizepSrcA ;
     numSamples = numSamples / 2;
-    
+
     realResult=PyMem_Malloc(sizeof(float32_t)*1);
 
-    
+
     imagResult=PyMem_Malloc(sizeof(float32_t)*1);
 
 
@@ -14192,7 +14648,7 @@
     GETARGUMENT(pSrcReal,NPY_INT16,int16_t,int16_t);
     numSamples = arraySizepSrcCmplx ;
     numSamples = numSamples / 2;
-    
+
     pCmplxDst=PyMem_Malloc(sizeof(q15_t)*2*numSamples);
 
 
@@ -14229,7 +14685,7 @@
     GETARGUMENT(pSrcReal,NPY_INT32,int32_t,int32_t);
     numSamples = arraySizepSrcCmplx ;
     numSamples = numSamples / 2;
-    
+
     pCmplxDst=PyMem_Malloc(sizeof(q31_t)*2*numSamples);
 
 
@@ -14266,7 +14722,7 @@
     GETARGUMENT(pSrcReal,NPY_DOUBLE,double,float32_t);
     numSamples = arraySizepSrcCmplx ;
     numSamples = numSamples / 2;
-    
+
     pCmplxDst=PyMem_Malloc(sizeof(float32_t)*2*numSamples);
 
 
@@ -14302,7 +14758,7 @@
     GETARGUMENT(pSrc,NPY_BYTE,int8_t,q7_t);
     GETARGUMENT(index,NPY_UINT32,uint32_t,uint32_t);
     blockSize = arraySizepSrc ;
-    
+
     result=PyMem_Malloc(sizeof(q7_t)*1);
 
 
@@ -14336,10 +14792,10 @@
 
     GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
     blockSize = arraySizepSrc ;
-    
+
     pResult=PyMem_Malloc(sizeof(q15_t)*1);
 
-    
+
     pIndex=PyMem_Malloc(sizeof(uint32_t)*1);
 
 
@@ -14374,10 +14830,10 @@
 
     GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
     blockSize = arraySizepSrc ;
-    
+
     pResult=PyMem_Malloc(sizeof(q31_t)*1);
 
-    
+
     pIndex=PyMem_Malloc(sizeof(uint32_t)*1);
 
 
@@ -14412,10 +14868,10 @@
 
     GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
     blockSize = arraySizepSrc ;
-    
+
     pResult=PyMem_Malloc(sizeof(float32_t)*1);
 
-    
+
     pIndex=PyMem_Malloc(sizeof(uint32_t)*1);
 
 
@@ -14450,10 +14906,10 @@
 
     GETARGUMENT(pSrc,NPY_BYTE,int8_t,q7_t);
     blockSize = arraySizepSrc ;
-    
+
     pResult=PyMem_Malloc(sizeof(q7_t)*1);
 
-    
+
     pIndex=PyMem_Malloc(sizeof(uint32_t)*1);
 
 
@@ -14488,10 +14944,10 @@
 
     GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
     blockSize = arraySizepSrc ;
-    
+
     pResult=PyMem_Malloc(sizeof(q15_t)*1);
 
-    
+
     pIndex=PyMem_Malloc(sizeof(uint32_t)*1);
 
 
@@ -14526,10 +14982,10 @@
 
     GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
     blockSize = arraySizepSrc ;
-    
+
     pResult=PyMem_Malloc(sizeof(q31_t)*1);
 
-    
+
     pIndex=PyMem_Malloc(sizeof(uint32_t)*1);
 
 
@@ -14564,10 +15020,10 @@
 
     GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
     blockSize = arraySizepSrc ;
-    
+
     pResult=PyMem_Malloc(sizeof(float32_t)*1);
 
-    
+
     pIndex=PyMem_Malloc(sizeof(uint32_t)*1);
 
 
@@ -14605,7 +15061,7 @@
     GETARGUMENT(pSrcB,NPY_INT16,int16_t,int16_t);
     numSamples = arraySizepSrcA ;
     numSamples = numSamples / 2;
-    
+
     pDst=PyMem_Malloc(sizeof(q15_t)*2*numSamples);
 
 
@@ -14642,7 +15098,7 @@
     GETARGUMENT(pSrcB,NPY_INT32,int32_t,int32_t);
     numSamples = arraySizepSrcA ;
     numSamples = numSamples / 2;
-    
+
     pDst=PyMem_Malloc(sizeof(q31_t)*2*numSamples);
 
 
@@ -14679,7 +15135,7 @@
     GETARGUMENT(pSrcB,NPY_DOUBLE,double,float32_t);
     numSamples = arraySizepSrcA ;
     numSamples = numSamples / 2;
-    
+
     pDst=PyMem_Malloc(sizeof(float32_t)*2*numSamples);
 
 
@@ -14712,7 +15168,7 @@
 
     GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
 
 
@@ -14744,7 +15200,7 @@
 
     GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q15_t)*blockSize);
 
 
@@ -14776,7 +15232,7 @@
 
     GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q7_t)*blockSize);
 
 
@@ -14808,7 +15264,7 @@
 
     GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q15_t)*blockSize);
 
 
@@ -14840,7 +15296,7 @@
 
     GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q7_t)*blockSize);
 
 
@@ -14872,7 +15328,7 @@
 
     GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(float32_t)*blockSize);
 
 
@@ -14904,7 +15360,7 @@
 
     GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
 
 
@@ -14936,7 +15392,7 @@
 
     GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
     blockSize = arraySizepSrc ;
-    
+
     pDst=PyMem_Malloc(sizeof(q7_t)*blockSize);
 
 
@@ -15124,6 +15580,7 @@
 {"arm_cfft_radix4_f32",  cmsis_arm_cfft_radix4_f32, METH_VARARGS,""},
 {"arm_cfft_q15",  cmsis_arm_cfft_q15, METH_VARARGS,""},
 {"arm_cfft_q31",  cmsis_arm_cfft_q31, METH_VARARGS,""},
+{"arm_cfft_f64",  cmsis_arm_cfft_f64, METH_VARARGS,""},
 {"arm_cfft_f32",  cmsis_arm_cfft_f32, METH_VARARGS,""},
 {"arm_rfft_init_q15",  cmsis_arm_rfft_init_q15, METH_VARARGS,""},
 {"arm_rfft_q15",  cmsis_arm_rfft_q15, METH_VARARGS,""},
@@ -15131,6 +15588,16 @@
 {"arm_rfft_q31",  cmsis_arm_rfft_q31, METH_VARARGS,""},
 {"arm_rfft_init_f32",  cmsis_arm_rfft_init_f32, METH_VARARGS,""},
 {"arm_rfft_f32",  cmsis_arm_rfft_f32, METH_VARARGS,""},
+{"arm_rfft_fast_init_f64",  cmsis_arm_rfft_fast_init_f64, METH_VARARGS,""},
+{"arm_rfft_32_fast_init_f64",  cmsis_arm_rfft_32_fast_init_f64, METH_VARARGS,""},
+{"arm_rfft_64_fast_init_f64",  cmsis_arm_rfft_64_fast_init_f64, METH_VARARGS,""},
+{"arm_rfft_128_fast_init_f64",  cmsis_arm_rfft_128_fast_init_f64, METH_VARARGS,""},
+{"arm_rfft_256_fast_init_f64",  cmsis_arm_rfft_256_fast_init_f64, METH_VARARGS,""},
+{"arm_rfft_512_fast_init_f64",  cmsis_arm_rfft_512_fast_init_f64, METH_VARARGS,""},
+{"arm_rfft_1024_fast_init_f64",  cmsis_arm_rfft_1024_fast_init_f64, METH_VARARGS,""},
+{"arm_rfft_2048_fast_init_f64",  cmsis_arm_rfft_2048_fast_init_f64, METH_VARARGS,""},
+{"arm_rfft_4096_fast_init_f64",  cmsis_arm_rfft_4096_fast_init_f64, METH_VARARGS,""},
+{"arm_rfft_fast_f32",  cmsis_arm_rfft_fast_f32, METH_VARARGS,""},
 {"arm_rfft_fast_init_f32",  cmsis_arm_rfft_fast_init_f32, METH_VARARGS,""},
 {"arm_rfft_32_fast_init_f32",  cmsis_arm_rfft_32_fast_init_f32, METH_VARARGS,""},
 {"arm_rfft_64_fast_init_f32",  cmsis_arm_rfft_64_fast_init_f32, METH_VARARGS,""},
@@ -15235,6 +15702,7 @@
 {"arm_iir_lattice_q15",  cmsis_arm_iir_lattice_q15, METH_VARARGS,""},
 {"arm_iir_lattice_init_q15",  cmsis_arm_iir_lattice_init_q15, METH_VARARGS,""},
 {"arm_cfft_init_f32",  cmsis_arm_cfft_init_f32, METH_VARARGS,""},
+{"arm_cfft_init_f64",  cmsis_arm_cfft_init_f64, METH_VARARGS,""},
 {"arm_cfft_init_q31",  cmsis_arm_cfft_init_q31, METH_VARARGS,""},
 {"arm_cfft_init_q15",  cmsis_arm_cfft_init_q15, METH_VARARGS,""},
 {"arm_lms_f32",  cmsis_arm_lms_f32, METH_VARARGS,""},
diff --git a/CMSIS/DSP/PythonWrapper/cmsisdsp_pkg/src/fftinit.c b/CMSIS/DSP/PythonWrapper/cmsisdsp_pkg/src/fftinit.c
index 9845a05..497cee5 100644
--- a/CMSIS/DSP/PythonWrapper/cmsisdsp_pkg/src/fftinit.c
+++ b/CMSIS/DSP/PythonWrapper/cmsisdsp_pkg/src/fftinit.c
@@ -29,234 +29,309 @@
 #include "arm_common_tables.h"
 #include "arm_const_structs.h"
 
-#define FFTINIT(SIZE)                                           \
-  S->bitRevLength = arm_cfft_sR_f32_len##SIZE.bitRevLength;        \
-  S->pBitRevTable = arm_cfft_sR_f32_len##SIZE.pBitRevTable;         \
-  S->pTwiddle = arm_cfft_sR_f32_len##SIZE.pTwiddle;
+#define FFTINIT(EXT,SIZE)                                           \
+  S->bitRevLength = arm_cfft_sR_##EXT##_len##SIZE.bitRevLength;        \
+  S->pBitRevTable = arm_cfft_sR_##EXT##_len##SIZE.pBitRevTable;         \
+  S->pTwiddle = arm_cfft_sR_##EXT##_len##SIZE.pTwiddle;
 
 #define FFTFXTINIT(EXT,SIZE)                                           \
   S->bitRevLength = arm_cfft_sR_##EXT##_len##SIZE.bitRevLength;        \
   S->pBitRevTable = arm_cfft_sR_##EXT##_len##SIZE.pBitRevTable;         \
   S->pTwiddle = arm_cfft_sR_##EXT##_len##SIZE.pTwiddle;
 
+
+
+arm_status arm_cfft_init_f64(
+  arm_cfft_instance_f64 * S,
+  uint16_t fftLen)
+{
+        /*  Initialise the default arm status */
+        arm_status status = ARM_MATH_SUCCESS;
+
+        /*  Initialise the FFT length */
+        S->fftLen = fftLen;
+
+        /*  Initialise the Twiddle coefficient pointer */
+        S->pTwiddle = (float64_t *)twiddleCoefF64_4096;
+
+
+        /*  Initializations of Instance structure depending on the FFT length */
+        switch (S->fftLen) {
+            /*  Initializations of structure parameters for 4096 point FFT */
+        case 4096U:
+            /*  Initialise the bit reversal table modifier */
+            FFTINIT(f64,4096);
+            break;
+
+            /*  Initializations of structure parameters for 2048 point FFT */
+        case 2048U:
+            /*  Initialise the bit reversal table modifier */
+            FFTINIT(f64,2048);
+
+            break;
+
+            /*  Initializations of structure parameters for 1024 point FFT */
+        case 1024U:
+            /*  Initialise the bit reversal table modifier */
+            FFTINIT(f64,1024);
+
+            break;
+
+            /*  Initializations of structure parameters for 512 point FFT */
+        case 512U:
+            /*  Initialise the bit reversal table modifier */
+            FFTINIT(f64,512);
+            break;
+
+        case 256U:
+            FFTINIT(f64,256);
+            break;
+
+        case 128U:
+            FFTINIT(f64,128);
+            break;
+
+        case 64U:
+            FFTINIT(f64,64);
+            break;
+
+        case 32U:
+            FFTINIT(f64,32);
+            break;
+
+        case 16U:
+            /*  Initializations of structure parameters for 16 point FFT */
+            FFTINIT(f64,16);
+            break;
+
+
+        default:
+            /*  Reporting argument error if fftSize is not valid value */
+            status = ARM_MATH_ARGUMENT_ERROR;
+            break;
+        }
+
+        return (status);
+}
+
 arm_status arm_cfft_init_f32(
   arm_cfft_instance_f32 * S,
   uint16_t fftLen)
 {
-        /*  Initialise the default arm status */                                
-        arm_status status = ARM_MATH_SUCCESS;                                   
-                                                                                
-        /*  Initialise the FFT length */                                        
-        S->fftLen = fftLen;          
-                                                                                
-        /*  Initialise the Twiddle coefficient pointer */                       
-        S->pTwiddle = (float32_t *)twiddleCoef_4096;                         
-                                                                                
-                                                                                
+        /*  Initialise the default arm status */
+        arm_status status = ARM_MATH_SUCCESS;
+
+        /*  Initialise the FFT length */
+        S->fftLen = fftLen;
+
+        /*  Initialise the Twiddle coefficient pointer */
+        S->pTwiddle = (float32_t *)twiddleCoef_4096;
+
+
         /*  Initializations of Instance structure depending on the FFT length */
-        switch (S->fftLen) {                                                    
-            /*  Initializations of structure parameters for 4096 point FFT */   
-        case 4096U:                                                             
-            /*  Initialise the bit reversal table modifier */                   
-            FFTINIT(4096);      
-            break;                                                              
-                                                                                
-            /*  Initializations of structure parameters for 2048 point FFT */   
-        case 2048U:                                                             
-            /*  Initialise the bit reversal table modifier */                   
-            FFTINIT(2048);                 
-                                                                            
-            break;                                                              
-                                                                                
-            /*  Initializations of structure parameters for 1024 point FFT */   
-        case 1024U:                                                             
-            /*  Initialise the bit reversal table modifier */                   
-            FFTINIT(1024);                 
-                                                                         
-            break;                                                              
-                                                                                
-            /*  Initializations of structure parameters for 512 point FFT */    
-        case 512U:                                                              
-            /*  Initialise the bit reversal table modifier */                   
-            FFTINIT(512);                                                                                   
-            break;                                                              
-                                                                                
-        case 256U:                                                              
-            FFTINIT(256);                                                                                  
-            break;                                                              
-                                                                                
-        case 128U:                                                              
-            FFTINIT(128);                                                                                  
-            break;                                                              
-                                                                                
-        case 64U:                                                               
-            FFTINIT(64);                                                                               
-            break;                                                              
-                                                                                
-        case 32U:                                                               
-            FFTINIT(32);                                                                                
-            break;                                                              
-                                                                                
-        case 16U:                                                               
-            /*  Initializations of structure parameters for 16 point FFT */     
-            FFTINIT(16);   
-            break;                                                              
-                                                                                
-                                                                                
-        default:                                                                
-            /*  Reporting argument error if fftSize is not valid value */       
-            status = ARM_MATH_ARGUMENT_ERROR;                                   
-            break;                                                              
-        }                                                                       
-                                                                                
-                                                                                
-        return (status);    
+        switch (S->fftLen) {
+            /*  Initializations of structure parameters for 4096 point FFT */
+        case 4096U:
+            /*  Initialise the bit reversal table modifier */
+            FFTINIT(f32,4096);
+            break;
+
+            /*  Initializations of structure parameters for 2048 point FFT */
+        case 2048U:
+            /*  Initialise the bit reversal table modifier */
+            FFTINIT(f32,2048);
+
+            break;
+
+            /*  Initializations of structure parameters for 1024 point FFT */
+        case 1024U:
+            /*  Initialise the bit reversal table modifier */
+            FFTINIT(f32,1024);
+
+            break;
+
+            /*  Initializations of structure parameters for 512 point FFT */
+        case 512U:
+            /*  Initialise the bit reversal table modifier */
+            FFTINIT(f32,512);
+            break;
+
+        case 256U:
+            FFTINIT(f32,256);
+            break;
+
+        case 128U:
+            FFTINIT(f32,128);
+            break;
+
+        case 64U:
+            FFTINIT(f32,64);
+            break;
+
+        case 32U:
+            FFTINIT(f32,32);
+            break;
+
+        case 16U:
+            /*  Initializations of structure parameters for 16 point FFT */
+            FFTINIT(f32,16);
+            break;
+
+
+        default:
+            /*  Reporting argument error if fftSize is not valid value */
+            status = ARM_MATH_ARGUMENT_ERROR;
+            break;
+        }
+
+
+        return (status);
 }
 
 arm_status arm_cfft_init_q31(
   arm_cfft_instance_q31 * S,
   uint16_t fftLen)
 {
-        /*  Initialise the default arm status */                                
-        arm_status status = ARM_MATH_SUCCESS;                                   
-                                                                                
-        /*  Initialise the FFT length */                                        
-        S->fftLen = fftLen;          
-                                                                                
-        /*  Initialise the Twiddle coefficient pointer */                       
-        S->pTwiddle = (float32_t *)twiddleCoef_4096;                         
-                                                                                
-                                                                                
+        /*  Initialise the default arm status */
+        arm_status status = ARM_MATH_SUCCESS;
+
+        /*  Initialise the FFT length */
+        S->fftLen = fftLen;
+
+        /*  Initialise the Twiddle coefficient pointer */
+        S->pTwiddle = (float32_t *)twiddleCoef_4096;
+
+
         /*  Initializations of Instance structure depending on the FFT length */
-        switch (S->fftLen) {                                                    
-            /*  Initializations of structure parameters for 4096 point FFT */   
-        case 4096U:                                                             
-            /*  Initialise the bit reversal table modifier */                   
-            FFTFXTINIT(q31,4096);      
-            break;                                                              
-                                                                                
-            /*  Initializations of structure parameters for 2048 point FFT */   
-        case 2048U:                                                             
-            /*  Initialise the bit reversal table modifier */                   
-             FFTFXTINIT(q31,2048);                 
-                                                                            
-            break;                                                              
-                                                                                
-            /*  Initializations of structure parameters for 1024 point FFT */   
-        case 1024U:                                                             
-            /*  Initialise the bit reversal table modifier */                   
-             FFTFXTINIT(q31,1024);                 
-                                                                         
-            break;                                                              
-                                                                                
-            /*  Initializations of structure parameters for 512 point FFT */    
-        case 512U:                                                              
-            /*  Initialise the bit reversal table modifier */                   
-             FFTFXTINIT(q31,512);                                                                                   
-            break;                                                              
-                                                                                
-        case 256U:                                                              
-             FFTFXTINIT(q31,256);                                                                                  
-            break;                                                              
-                                                                                
-        case 128U:                                                              
-             FFTFXTINIT(q31,128);                                                                                  
-            break;                                                              
-                                                                                
-        case 64U:                                                               
-             FFTFXTINIT(q31,64);                                                                               
-            break;                                                              
-                                                                                
-        case 32U:                                                               
-             FFTFXTINIT(q31,32);                                                                                
-            break;                                                              
-                                                                                
-        case 16U:                                                               
-            /*  Initializations of structure parameters for 16 point FFT */     
-             FFTFXTINIT(q31,16);   
-            break;                                                              
-                                                                                
-                                                                                
-        default:                                                                
-            /*  Reporting argument error if fftSize is not valid value */       
-            status = ARM_MATH_ARGUMENT_ERROR;                                   
-            break;                                                              
-        }                                                                       
-                                                                                
-                                                                                
-        return (status);    
+        switch (S->fftLen) {
+            /*  Initializations of structure parameters for 4096 point FFT */
+        case 4096U:
+            /*  Initialise the bit reversal table modifier */
+            FFTFXTINIT(q31,4096);
+            break;
+
+            /*  Initializations of structure parameters for 2048 point FFT */
+        case 2048U:
+            /*  Initialise the bit reversal table modifier */
+             FFTFXTINIT(q31,2048);
+
+            break;
+
+            /*  Initializations of structure parameters for 1024 point FFT */
+        case 1024U:
+            /*  Initialise the bit reversal table modifier */
+             FFTFXTINIT(q31,1024);
+
+            break;
+
+            /*  Initializations of structure parameters for 512 point FFT */
+        case 512U:
+            /*  Initialise the bit reversal table modifier */
+             FFTFXTINIT(q31,512);
+            break;
+
+        case 256U:
+             FFTFXTINIT(q31,256);
+            break;
+
+        case 128U:
+             FFTFXTINIT(q31,128);
+            break;
+
+        case 64U:
+             FFTFXTINIT(q31,64);
+            break;
+
+        case 32U:
+             FFTFXTINIT(q31,32);
+            break;
+
+        case 16U:
+            /*  Initializations of structure parameters for 16 point FFT */
+             FFTFXTINIT(q31,16);
+            break;
+
+
+        default:
+            /*  Reporting argument error if fftSize is not valid value */
+            status = ARM_MATH_ARGUMENT_ERROR;
+            break;
+        }
+
+
+        return (status);
 }
 
 arm_status arm_cfft_init_q15(
   arm_cfft_instance_q15 * S,
   uint16_t fftLen)
 {
-        /*  Initialise the default arm status */                                
-        arm_status status = ARM_MATH_SUCCESS;                                   
-                                                                                
-        /*  Initialise the FFT length */                                        
-        S->fftLen = fftLen;          
-                                                                                
-        /*  Initialise the Twiddle coefficient pointer */                       
-        S->pTwiddle = (float32_t *)twiddleCoef_4096;                         
-                                                                                
-                                                                                
+        /*  Initialise the default arm status */
+        arm_status status = ARM_MATH_SUCCESS;
+
+        /*  Initialise the FFT length */
+        S->fftLen = fftLen;
+
+        /*  Initialise the Twiddle coefficient pointer */
+        S->pTwiddle = (float32_t *)twiddleCoef_4096;
+
+
         /*  Initializations of Instance structure depending on the FFT length */
-        switch (S->fftLen) {                                                    
-            /*  Initializations of structure parameters for 4096 point FFT */   
-        case 4096U:                                                             
-            /*  Initialise the bit reversal table modifier */                   
-            FFTFXTINIT(q15,4096);      
-            break;                                                              
-                                                                                
-            /*  Initializations of structure parameters for 2048 point FFT */   
-        case 2048U:                                                             
-            /*  Initialise the bit reversal table modifier */                   
-             FFTFXTINIT(q15,2048);                 
-                                                                            
-            break;                                                              
-                                                                                
-            /*  Initializations of structure parameters for 1024 point FFT */   
-        case 1024U:                                                             
-            /*  Initialise the bit reversal table modifier */                   
-             FFTFXTINIT(q15,1024);                 
-                                                                         
-            break;                                                              
-                                                                                
-            /*  Initializations of structure parameters for 512 point FFT */    
-        case 512U:                                                              
-            /*  Initialise the bit reversal table modifier */                   
-            FFTFXTINIT(q15,512);                                                                                   
-            break;                                                              
-                                                                                
-        case 256U:                                                              
-            FFTFXTINIT(q15,256);                                                                                  
-            break;                                                              
-                                                                                
-        case 128U:                                                              
-            FFTFXTINIT(q15,128);                                                                                  
-            break;                                                              
-                                                                                
-        case 64U:                                                               
-            FFTFXTINIT(q15,64);                                                                               
-            break;                                                              
-                                                                                
-        case 32U:                                                               
-            FFTFXTINIT(q15,32);                                                                                
-            break;                                                              
-                                                                                
-        case 16U:                                                               
-            /*  Initializations of structure parameters for 16 point FFT */     
-            FFTFXTINIT(q15,16);   
-            break;                                                              
-                                                                                
-                                                                                
-        default:                                                                
-            /*  Reporting argument error if fftSize is not valid value */       
-            status = ARM_MATH_ARGUMENT_ERROR;                                   
-            break;                                                              
-        }                                                                       
-                                                                                
-                                                                                
-        return (status);    
-}
\ No newline at end of file
+        switch (S->fftLen) {
+            /*  Initializations of structure parameters for 4096 point FFT */
+        case 4096U:
+            /*  Initialise the bit reversal table modifier */
+            FFTFXTINIT(q15,4096);
+            break;
+
+            /*  Initializations of structure parameters for 2048 point FFT */
+        case 2048U:
+            /*  Initialise the bit reversal table modifier */
+             FFTFXTINIT(q15,2048);
+
+            break;
+
+            /*  Initializations of structure parameters for 1024 point FFT */
+        case 1024U:
+            /*  Initialise the bit reversal table modifier */
+             FFTFXTINIT(q15,1024);
+
+            break;
+
+            /*  Initializations of structure parameters for 512 point FFT */
+        case 512U:
+            /*  Initialise the bit reversal table modifier */
+            FFTFXTINIT(q15,512);
+            break;
+
+        case 256U:
+            FFTFXTINIT(q15,256);
+            break;
+
+        case 128U:
+            FFTFXTINIT(q15,128);
+            break;
+
+        case 64U:
+            FFTFXTINIT(q15,64);
+            break;
+
+        case 32U:
+            FFTFXTINIT(q15,32);
+            break;
+
+        case 16U:
+            /*  Initializations of structure parameters for 16 point FFT */
+            FFTFXTINIT(q15,16);
+            break;
+
+
+        default:
+            /*  Reporting argument error if fftSize is not valid value */
+            status = ARM_MATH_ARGUMENT_ERROR;
+            break;
+        }
+
+
+        return (status);
+}
diff --git a/CMSIS/DSP/Source/CMakeLists.txt b/CMSIS/DSP/Source/CMakeLists.txt
index 7cfdb5b..5f70a45 100755
--- a/CMSIS/DSP/Source/CMakeLists.txt
+++ b/CMSIS/DSP/Source/CMakeLists.txt
@@ -58,10 +58,20 @@
 option(ARM_SIN_Q15          "sin q15"                           OFF)
 option(ARM_SIN_COS_F32      "sin cos f32"                       OFF)
 option(ARM_SIN_COS_Q31      "sin cos q31"                       OFF)
-             
+
 option(ARM_LMS_NORM_Q31     "lms norm q31"                      OFF)
 option(ARM_LMS_NORM_Q15     "lms norm q15"                      OFF)
-             
+
+option(CFFT_F64_16          "cfft f64 16"                       OFF)
+option(CFFT_F64_32          "cfft f64 32"                       OFF)
+option(CFFT_F64_64          "cfft f64 64"                       OFF)
+option(CFFT_F64_128         "cfft f64 128"                      OFF)
+option(CFFT_F64_256         "cfft f64 256"                      OFF)
+option(CFFT_F64_512         "cfft f64 512"                      OFF)
+option(CFFT_F64_1024        "cfft f64 1024"                     OFF)
+option(CFFT_F64_2048        "cfft f64 2048"                     OFF)
+option(CFFT_F64_4096        "cfft f64 4096"                     OFF)
+
 option(CFFT_F32_16          "cfft f32 16"                       OFF)
 option(CFFT_F32_32          "cfft f32 32"                       OFF)
 option(CFFT_F32_64          "cfft f32 64"                       OFF)
@@ -71,7 +81,7 @@
 option(CFFT_F32_1024        "cfft f32 1024"                     OFF)
 option(CFFT_F32_2048        "cfft f32 2048"                     OFF)
 option(CFFT_F32_4096        "cfft f32 4096"                     OFF)
-                  
+
 option(CFFT_Q31_16          "cfft q31 16"                       OFF)
 option(CFFT_Q31_32          "cfft q31 32"                       OFF)
 option(CFFT_Q31_64          "cfft q31 64"                       OFF)
@@ -81,7 +91,7 @@
 option(CFFT_Q31_1024        "cfft q31 1024"                     OFF)
 option(CFFT_Q31_2048        "cfft q31 2048"                     OFF)
 option(CFFT_Q31_4096        "cfft q31 4096"                     OFF)
-                  
+
 option(CFFT_Q15_16          "cfft q15 16"                       OFF)
 option(CFFT_Q15_32          "cfft q15 32"                       OFF)
 option(CFFT_Q15_64          "cfft q15 64"                       OFF)
@@ -91,7 +101,7 @@
 option(CFFT_Q15_1024        "cfft q15 1024"                     OFF)
 option(CFFT_Q15_2048        "cfft q15 2048"                     OFF)
 option(CFFT_Q15_4096        "cfft q15 4096"                     OFF)
-             
+
 option(RFFT_FAST_F32_32     "rfft fast f32 32"                  OFF)
 option(RFFT_FAST_F32_64     "rfft fast f32 64"                  OFF)
 option(RFFT_FAST_F32_128    "rfft fast f32 128"                 OFF)
@@ -100,13 +110,28 @@
 option(RFFT_FAST_F32_1024   "rfft fast f32 1024"                OFF)
 option(RFFT_FAST_F32_2048   "rfft fast f32 2048"                OFF)
 option(RFFT_FAST_F32_4096   "rfft fast f32 4096"                OFF)
-             
-             
+
+
 option(RFFT_F32_128         "rfft f32 128"                      OFF)
 option(RFFT_F32_512         "rfft f32 512"                      OFF)
 option(RFFT_F32_2048        "rfft f32 2048"                     OFF)
 option(RFFT_F32_8192        "rfft f32 8192"                     OFF)
-             
+
+option(RFFT_FAST_F64_32     "rfft fast f64 32"                  OFF)
+option(RFFT_FAST_F64_64     "rfft fast f64 64"                  OFF)
+option(RFFT_FAST_F64_128    "rfft fast f64 128"                 OFF)
+option(RFFT_FAST_F64_256    "rfft fast f64 256"                 OFF)
+option(RFFT_FAST_F64_512    "rfft fast f64 512"                 OFF)
+option(RFFT_FAST_F64_1024   "rfft fast f64 1024"                OFF)
+option(RFFT_FAST_F64_2048   "rfft fast f64 2048"                OFF)
+option(RFFT_FAST_F64_4096   "rfft fast f64 4096"                OFF)
+
+
+option(RFFT_F64_128         "rfft f64 128"                      OFF)
+option(RFFT_F64_512         "rfft f64 512"                      OFF)
+option(RFFT_F64_2048        "rfft f64 2048"                     OFF)
+option(RFFT_F64_8192        "rfft f64 8192"                     OFF)
+
 option(RFFT_Q31_32          "rfft q31 32"                       OFF)
 option(RFFT_Q31_64          "rfft q31 64"                       OFF)
 option(RFFT_Q31_128         "rfft q31 128"                      OFF)
@@ -116,7 +141,7 @@
 option(RFFT_Q31_2048        "rfft q31 2048"                     OFF)
 option(RFFT_Q31_4096        "rfft q31 4096"                     OFF)
 option(RFFT_Q31_8192        "rfft q31 8192"                     OFF)
-             
+
 option(RFFT_Q15_32          "rfft q15 32"                       OFF)
 option(RFFT_Q15_64          "rfft q15 64"                       OFF)
 option(RFFT_Q15_128         "rfft q15 128"                      OFF)
@@ -126,17 +151,17 @@
 option(RFFT_Q15_2048        "rfft q15 2048"                     OFF)
 option(RFFT_Q15_4096        "rfft q15 4096"                     OFF)
 option(RFFT_Q15_8192        "rfft q15 8192"                     OFF)
-             
+
 option(DCT4_F32_128          "dct4 f32 128"                     OFF)
 option(DCT4_F32_512          "dct4 f32 512"                     OFF)
 option(DCT4_F32_2048         "dct4 f32 2048"                    OFF)
 option(DCT4_F32_8192         "dct4 f32 8192"                    OFF)
-             
+
 option(DCT4_Q31_128          "dct4 q31 128"                     OFF)
 option(DCT4_Q31_512          "dct4 q31 512"                     OFF)
 option(DCT4_Q31_2048         "dct4 q31 2048"                    OFF)
 option(DCT4_Q31_8192         "dct4 q31 8192"                    OFF)
-             
+
 option(DCT4_Q15_128          "dct4 q15 128"                     OFF)
 option(DCT4_Q15_512          "dct4 q15 512"                     OFF)
 option(DCT4_Q15_2048         "dct4 q15 2048"                    OFF)
@@ -167,7 +192,7 @@
   add_subdirectory(ControllerFunctions)
   # Fast tables inclusion is allowed
   if (CONFIGTABLE)
-    target_compile_definitions(CMSISDSPController PUBLIC ARM_FAST_ALLOW_TABLES) 
+    target_compile_definitions(CMSISDSPController PUBLIC ARM_FAST_ALLOW_TABLES)
   endif()
   target_link_libraries(CMSISDSP INTERFACE CMSISDSPController)
 endif()
@@ -176,7 +201,7 @@
   add_subdirectory(FastMathFunctions)
   # Fast tables inclusion is allowed
   if (CONFIGTABLE)
-    target_compile_definitions(CMSISDSPFastMath PUBLIC ARM_FAST_ALLOW_TABLES) 
+    target_compile_definitions(CMSISDSPFastMath PUBLIC ARM_FAST_ALLOW_TABLES)
   endif()
   target_link_libraries(CMSISDSP INTERFACE CMSISDSPFastMath)
 endif()
@@ -186,7 +211,7 @@
   # Fast tables inclusion is allowed
   if (CONFIGTABLE)
     target_compile_definitions(CMSISDSPFiltering PUBLIC ARM_FAST_ALLOW_TABLES)
-  endif() 
+  endif()
   target_link_libraries(CMSISDSP INTERFACE CMSISDSPFiltering)
 endif()
 
@@ -219,13 +244,13 @@
   if (TRANSFORM)
     # FFT tables inclusion is allowed
     if (CONFIGTABLE)
-      target_compile_definitions(CMSISDSPCommon PUBLIC ARM_FFT_ALLOW_TABLES) 
+      target_compile_definitions(CMSISDSPCommon PUBLIC ARM_FFT_ALLOW_TABLES)
     endif()
   endif()
   if (FILTERING OR CONTROLLER OR FASTMATH)
     # Select which tables to include
     if (CONFIGTABLE)
-      target_compile_definitions(CMSISDSPCommon PUBLIC ARM_FAST_ALLOW_TABLES) 
+      target_compile_definitions(CMSISDSPCommon PUBLIC ARM_FAST_ALLOW_TABLES)
     endif()
   endif()
   target_link_libraries(CMSISDSP INTERFACE CMSISDSPCommon)
diff --git a/CMSIS/DSP/Source/CommonTables/arm_common_tables.c b/CMSIS/DSP/Source/CommonTables/arm_common_tables.c
index 9c9cccf..140e263 100644
--- a/CMSIS/DSP/Source/CommonTables/arm_common_tables.c
+++ b/CMSIS/DSP/Source/CommonTables/arm_common_tables.c
@@ -173,6 +173,8371 @@
    0x5fe, 0x3fe, 0x7fe, 0x001
 };
 #endif
+
+/**
+  @brief  Double Precision Floating-point Twiddle factors Table Generation
+*/
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_16)
+/**
+  @par
+  Example code for Double Precision Floating-point Twiddle factors Generation:
+  @par
+  <pre>for (i = 0; i < N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(double)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(double)N);
+  } </pre>
+  @par
+  where N = 16, PI = 3.14159265358979
+  @par
+  Cos and Sin values are in interleaved fashion
+*/
+const uint64_t twiddleCoefF64_16[32] = {
+    0x3ff0000000000000,    0x0000000000000000,     //       1,       0'
+    0x3fed906bcf328d46,    0x3fd87de2a6aea963,     // 0.92388, 0.38268'
+    0x3fe6a09e667f3bcc,    0x3fe6a09e667f3bcc,     // 0.70711, 0.70711'
+    0x3fd87de2a6aea963,    0x3fed906bcf328d46,     // 0.38268, 0.92388'
+    0x0000000000000000,    0x3ff0000000000000,     //       0,       1'
+    0xbfd87de2a6aea963,    0x3fed906bcf328d46,     //-0.38268, 0.92388'
+    0xbfe6a09e667f3bcc,    0x3fe6a09e667f3bcc,     //-0.70711, 0.70711'
+    0xbfed906bcf328d46,    0x3fd87de2a6aea963,     //-0.92388, 0.38268'
+    0xbff0000000000000,    0x0000000000000000,     //      -1,       0'
+    0xbfed906bcf328d46,    0xbfd87de2a6aea963,     //-0.92388,-0.38268'
+    0xbfe6a09e667f3bcc,    0xbfe6a09e667f3bcc,     //-0.70711,-0.70711'
+    0xbfd87de2a6aea963,    0xbfed906bcf328d46,     //-0.38268,-0.92388'
+    0x0000000000000000,    0xbff0000000000000,     //       0,      -1'
+    0x3fd87de2a6aea963,    0xbfed906bcf328d46,     // 0.38268,-0.92388'
+    0x3fe6a09e667f3bcc,    0xbfe6a09e667f3bcc,     // 0.70711,-0.70711'
+    0x3fed906bcf328d46,    0xbfd87de2a6aea963,     // 0.92388,-0.38268'
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_32)
+
+/**
+  @par
+  Example code for Double Precision Floating-point Twiddle factors Generation:
+  @par
+  <pre>for (i = 0; i< N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/N);
+  } </pre>
+  @par
+  where N = 32, PI = 3.14159265358979
+  @par
+  Cos and Sin values are in interleaved fashion
+*/
+const uint64_t twiddleCoefF64_32[64] = {
+    0x3ff0000000000000,     0x0000000000000000,     //       1,       0'
+    0x3fef6297cff75cb0,     0x3fc8f8b83c69a60a,     // 0.98079, 0.19509'
+    0x3fed906bcf328d46,     0x3fd87de2a6aea963,     // 0.92388, 0.38268'
+    0x3fea9b66290ea1a3,     0x3fe1c73b39ae68c8,     // 0.83147, 0.55557'
+    0x3fe6a09e667f3bcc,     0x3fe6a09e667f3bcc,     // 0.70711, 0.70711'
+    0x3fe1c73b39ae68c8,     0x3fea9b66290ea1a3,     // 0.55557, 0.83147'
+    0x3fd87de2a6aea963,     0x3fed906bcf328d46,     // 0.38268, 0.92388'
+    0x3fc8f8b83c69a60a,     0x3fef6297cff75cb0,     // 0.19509, 0.98079'
+    0x0000000000000000,     0x3ff0000000000000,     //       0,       1'
+    0xbfc8f8b83c69a60a,     0x3fef6297cff75cb0,     //-0.19509, 0.98079'
+    0xbfd87de2a6aea963,     0x3fed906bcf328d46,     //-0.38268, 0.92388'
+    0xbfe1c73b39ae68c8,     0x3fea9b66290ea1a3,     //-0.55557, 0.83147'
+    0xbfe6a09e667f3bcc,     0x3fe6a09e667f3bcc,     //-0.70711, 0.70711'
+    0xbfea9b66290ea1a3,     0x3fe1c73b39ae68c8,     //-0.83147, 0.55557'
+    0xbfed906bcf328d46,     0x3fd87de2a6aea963,     //-0.92388, 0.38268'
+    0xbfef6297cff75cb0,     0x3fc8f8b83c69a60a,     //-0.98079, 0.19509'
+    0xbff0000000000000,     0x0000000000000000,     //      -1,       0'
+    0xbfef6297cff75cb0,     0xbfc8f8b83c69a60a,     //-0.98079,-0.19509'
+    0xbfed906bcf328d46,     0xbfd87de2a6aea963,     //-0.92388,-0.38268'
+    0xbfea9b66290ea1a3,     0xbfe1c73b39ae68c8,     //-0.83147,-0.55557'
+    0xbfe6a09e667f3bcc,     0xbfe6a09e667f3bcc,     //-0.70711,-0.70711'
+    0xbfe1c73b39ae68c8,     0xbfea9b66290ea1a3,     //-0.55557,-0.83147'
+    0xbfd87de2a6aea963,     0xbfed906bcf328d46,     //-0.38268,-0.92388'
+    0xbfc8f8b83c69a60a,     0xbfef6297cff75cb0,     //-0.19509,-0.98079'
+    0x0000000000000000,     0xbff0000000000000,     //       0,      -1'
+    0x3fc8f8b83c69a60a,     0xbfef6297cff75cb0,     // 0.19509,-0.98079'
+    0x3fd87de2a6aea963,     0xbfed906bcf328d46,     // 0.38268,-0.92388'
+    0x3fe1c73b39ae68c8,     0xbfea9b66290ea1a3,     // 0.55557,-0.83147'
+    0x3fe6a09e667f3bcc,     0xbfe6a09e667f3bcc,     // 0.70711,-0.70711'
+    0x3fea9b66290ea1a3,     0xbfe1c73b39ae68c8,     // 0.83147,-0.55557'
+    0x3fed906bcf328d46,     0xbfd87de2a6aea963,     // 0.92388,-0.38268'
+    0x3fef6297cff75cb0,     0xbfc8f8b83c69a60a,     // 0.98079,-0.19509'
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_64)
+/**
+  @par
+  Example code for Double Precision Floating-point Twiddle factors Generation:
+  @par
+  <pre>for(i = 0; i < N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  } </pre>
+  @par
+  where N = 64, PI = 3.14159265358979
+  @par
+  Cos and Sin values are in interleaved fashion
+*/
+const uint64_t twiddleCoefF64_64[128] = {
+    0x3ff0000000000000,     0x0000000000000000,     //        1,        0'
+    0x3fefd88da3d12526,     0x3fb917a6bc29b42c,     //  0.99518, 0.098017'
+    0x3fef6297cff75cb0,     0x3fc8f8b83c69a60a,     //  0.98079,  0.19509'
+    0x3fee9f4156c62dda,     0x3fd294062ed59f05,     //  0.95694,  0.29028'
+    0x3fed906bcf328d46,     0x3fd87de2a6aea963,     //  0.92388,  0.38268'
+    0x3fec38b2f180bdb1,     0x3fde2b5d3806f63b,     //  0.88192,   0.4714'
+    0x3fea9b66290ea1a3,     0x3fe1c73b39ae68c8,     //  0.83147,  0.55557'
+    0x3fe8bc806b151741,     0x3fe44cf325091dd6,     //  0.77301,  0.63439'
+    0x3fe6a09e667f3bcc,     0x3fe6a09e667f3bcc,     //  0.70711,  0.70711'
+    0x3fe44cf325091dd6,     0x3fe8bc806b151741,     //  0.63439,  0.77301'
+    0x3fe1c73b39ae68c8,     0x3fea9b66290ea1a3,     //  0.55557,  0.83147'
+    0x3fde2b5d3806f63b,     0x3fec38b2f180bdb1,     //   0.4714,  0.88192'
+    0x3fd87de2a6aea963,     0x3fed906bcf328d46,     //  0.38268,  0.92388'
+    0x3fd294062ed59f05,     0x3fee9f4156c62dda,     //  0.29028,  0.95694'
+    0x3fc8f8b83c69a60a,     0x3fef6297cff75cb0,     //  0.19509,  0.98079'
+    0x3fb917a6bc29b42c,     0x3fefd88da3d12526,     // 0.098017,  0.99518'
+    0x0000000000000000,     0x3ff0000000000000,     //        0,        1'
+    0xbfb917a6bc29b42c,     0x3fefd88da3d12526,     //-0.098017,  0.99518'
+    0xbfc8f8b83c69a60a,     0x3fef6297cff75cb0,     // -0.19509,  0.98079'
+    0xbfd294062ed59f05,     0x3fee9f4156c62dda,     // -0.29028,  0.95694'
+    0xbfd87de2a6aea963,     0x3fed906bcf328d46,     // -0.38268,  0.92388'
+    0xbfde2b5d3806f63b,     0x3fec38b2f180bdb1,     //  -0.4714,  0.88192'
+    0xbfe1c73b39ae68c8,     0x3fea9b66290ea1a3,     // -0.55557,  0.83147'
+    0xbfe44cf325091dd6,     0x3fe8bc806b151741,     // -0.63439,  0.77301'
+    0xbfe6a09e667f3bcc,     0x3fe6a09e667f3bcc,     // -0.70711,  0.70711'
+    0xbfe8bc806b151741,     0x3fe44cf325091dd6,     // -0.77301,  0.63439'
+    0xbfea9b66290ea1a3,     0x3fe1c73b39ae68c8,     // -0.83147,  0.55557'
+    0xbfec38b2f180bdb1,     0x3fde2b5d3806f63b,     // -0.88192,   0.4714'
+    0xbfed906bcf328d46,     0x3fd87de2a6aea963,     // -0.92388,  0.38268'
+    0xbfee9f4156c62dda,     0x3fd294062ed59f05,     // -0.95694,  0.29028'
+    0xbfef6297cff75cb0,     0x3fc8f8b83c69a60a,     // -0.98079,  0.19509'
+    0xbfefd88da3d12526,     0x3fb917a6bc29b42c,     // -0.99518, 0.098017'
+    0xbff0000000000000,     0x0000000000000000,     //       -1,        0'
+    0xbfefd88da3d12526,     0xbfb917a6bc29b42c,     // -0.99518,-0.098017'
+    0xbfef6297cff75cb0,     0xbfc8f8b83c69a60a,     // -0.98079, -0.19509'
+    0xbfee9f4156c62dda,     0xbfd294062ed59f05,     // -0.95694, -0.29028'
+    0xbfed906bcf328d46,     0xbfd87de2a6aea963,     // -0.92388, -0.38268'
+    0xbfec38b2f180bdb1,     0xbfde2b5d3806f63b,     // -0.88192,  -0.4714'
+    0xbfea9b66290ea1a3,     0xbfe1c73b39ae68c8,     // -0.83147, -0.55557'
+    0xbfe8bc806b151741,     0xbfe44cf325091dd6,     // -0.77301, -0.63439'
+    0xbfe6a09e667f3bcc,     0xbfe6a09e667f3bcc,     // -0.70711, -0.70711'
+    0xbfe44cf325091dd6,     0xbfe8bc806b151741,     // -0.63439, -0.77301'
+    0xbfe1c73b39ae68c8,     0xbfea9b66290ea1a3,     // -0.55557, -0.83147'
+    0xbfde2b5d3806f63b,     0xbfec38b2f180bdb1,     //  -0.4714, -0.88192'
+    0xbfd87de2a6aea963,     0xbfed906bcf328d46,     // -0.38268, -0.92388'
+    0xbfd294062ed59f05,     0xbfee9f4156c62dda,     // -0.29028, -0.95694'
+    0xbfc8f8b83c69a60a,     0xbfef6297cff75cb0,     // -0.19509, -0.98079'
+    0xbfb917a6bc29b42c,     0xbfefd88da3d12526,     //-0.098017, -0.99518'
+    0x0000000000000000,     0xbff0000000000000,     //        0,       -1'
+    0x3fb917a6bc29b42c,     0xbfefd88da3d12526,     // 0.098017, -0.99518'
+    0x3fc8f8b83c69a60a,     0xbfef6297cff75cb0,     //  0.19509, -0.98079'
+    0x3fd294062ed59f05,     0xbfee9f4156c62dda,     //  0.29028, -0.95694'
+    0x3fd87de2a6aea963,     0xbfed906bcf328d46,     //  0.38268, -0.92388'
+    0x3fde2b5d3806f63b,     0xbfec38b2f180bdb1,     //   0.4714, -0.88192'
+    0x3fe1c73b39ae68c8,     0xbfea9b66290ea1a3,     //  0.55557, -0.83147'
+    0x3fe44cf325091dd6,     0xbfe8bc806b151741,     //  0.63439, -0.77301'
+    0x3fe6a09e667f3bcc,     0xbfe6a09e667f3bcc,     //  0.70711, -0.70711'
+    0x3fe8bc806b151741,     0xbfe44cf325091dd6,     //  0.77301, -0.63439'
+    0x3fea9b66290ea1a3,     0xbfe1c73b39ae68c8,     //  0.83147, -0.55557'
+    0x3fec38b2f180bdb1,     0xbfde2b5d3806f63b,     //  0.88192,  -0.4714'
+    0x3fed906bcf328d46,     0xbfd87de2a6aea963,     //  0.92388, -0.38268'
+    0x3fee9f4156c62dda,     0xbfd294062ed59f05,     //  0.95694, -0.29028'
+    0x3fef6297cff75cb0,     0xbfc8f8b83c69a60a,     //  0.98079, -0.19509'
+    0x3fefd88da3d12526,     0xbfb917a6bc29b42c,     //  0.99518,-0.098017'
+    };
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_128)
+/**
+  @par
+  Example code for Double Precision Floating-point Twiddle factors Generation:
+  @par
+  <pre>for (i = 0; i< N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  } </pre>
+  @par
+  where N = 128, PI = 3.14159265358979
+  @par
+  Cos and Sin values are in interleaved fashion
+*/
+const uint64_t twiddleCoefF64_128[256] = {
+    0x3ff0000000000000,     0x0000000000000000,     //        1,        0'
+    0x3feff621e3796d7e,     0x3fa91f65f10dd814,     //   0.9988, 0.049068'
+    0x3fefd88da3d12526,     0x3fb917a6bc29b42c,     //  0.99518, 0.098017'
+    0x3fefa7557f08a517,     0x3fc2c8106e8e613a,     //  0.98918,  0.14673'
+    0x3fef6297cff75cb0,     0x3fc8f8b83c69a60a,     //  0.98079,  0.19509'
+    0x3fef0a7efb9230d7,     0x3fcf19f97b215f1a,     //  0.97003,  0.24298'
+    0x3fee9f4156c62dda,     0x3fd294062ed59f05,     //  0.95694,  0.29028'
+    0x3fee212104f686e5,     0x3fd58f9a75ab1fdd,     //  0.94154,  0.33689'
+    0x3fed906bcf328d46,     0x3fd87de2a6aea963,     //  0.92388,  0.38268'
+    0x3feced7af43cc773,     0x3fdb5d1009e15cc0,     //  0.90399,  0.42756'
+    0x3fec38b2f180bdb1,     0x3fde2b5d3806f63b,     //  0.88192,   0.4714'
+    0x3feb728345196e3e,     0x3fe073879922ffed,     //  0.85773,   0.5141'
+    0x3fea9b66290ea1a3,     0x3fe1c73b39ae68c8,     //  0.83147,  0.55557'
+    0x3fe9b3e047f38741,     0x3fe30ff7fce17035,     //  0.80321,   0.5957'
+    0x3fe8bc806b151741,     0x3fe44cf325091dd6,     //  0.77301,  0.63439'
+    0x3fe7b5df226aafb0,     0x3fe57d69348cec9f,     //  0.74095,  0.67156'
+    0x3fe6a09e667f3bcc,     0x3fe6a09e667f3bcc,     //  0.70711,  0.70711'
+    0x3fe57d69348cec9f,     0x3fe7b5df226aafb0,     //  0.67156,  0.74095'
+    0x3fe44cf325091dd6,     0x3fe8bc806b151741,     //  0.63439,  0.77301'
+    0x3fe30ff7fce17035,     0x3fe9b3e047f38741,     //   0.5957,  0.80321'
+    0x3fe1c73b39ae68c8,     0x3fea9b66290ea1a3,     //  0.55557,  0.83147'
+    0x3fe073879922ffed,     0x3feb728345196e3e,     //   0.5141,  0.85773'
+    0x3fde2b5d3806f63b,     0x3fec38b2f180bdb1,     //   0.4714,  0.88192'
+    0x3fdb5d1009e15cc0,     0x3feced7af43cc773,     //  0.42756,  0.90399'
+    0x3fd87de2a6aea963,     0x3fed906bcf328d46,     //  0.38268,  0.92388'
+    0x3fd58f9a75ab1fdd,     0x3fee212104f686e5,     //  0.33689,  0.94154'
+    0x3fd294062ed59f05,     0x3fee9f4156c62dda,     //  0.29028,  0.95694'
+    0x3fcf19f97b215f1a,     0x3fef0a7efb9230d7,     //  0.24298,  0.97003'
+    0x3fc8f8b83c69a60a,     0x3fef6297cff75cb0,     //  0.19509,  0.98079'
+    0x3fc2c8106e8e613a,     0x3fefa7557f08a517,     //  0.14673,  0.98918'
+    0x3fb917a6bc29b42c,     0x3fefd88da3d12526,     // 0.098017,  0.99518'
+    0x3fa91f65f10dd814,     0x3feff621e3796d7e,     // 0.049068,   0.9988'
+    0x0000000000000000,     0x3ff0000000000000,     //        0,        1'
+    0xbfa91f65f10dd814,     0x3feff621e3796d7e,     //-0.049068,   0.9988'
+    0xbfb917a6bc29b42c,     0x3fefd88da3d12526,     //-0.098017,  0.99518'
+    0xbfc2c8106e8e613a,     0x3fefa7557f08a517,     // -0.14673,  0.98918'
+    0xbfc8f8b83c69a60a,     0x3fef6297cff75cb0,     // -0.19509,  0.98079'
+    0xbfcf19f97b215f1a,     0x3fef0a7efb9230d7,     // -0.24298,  0.97003'
+    0xbfd294062ed59f05,     0x3fee9f4156c62dda,     // -0.29028,  0.95694'
+    0xbfd58f9a75ab1fdd,     0x3fee212104f686e5,     // -0.33689,  0.94154'
+    0xbfd87de2a6aea963,     0x3fed906bcf328d46,     // -0.38268,  0.92388'
+    0xbfdb5d1009e15cc0,     0x3feced7af43cc773,     // -0.42756,  0.90399'
+    0xbfde2b5d3806f63b,     0x3fec38b2f180bdb1,     //  -0.4714,  0.88192'
+    0xbfe073879922ffed,     0x3feb728345196e3e,     //  -0.5141,  0.85773'
+    0xbfe1c73b39ae68c8,     0x3fea9b66290ea1a3,     // -0.55557,  0.83147'
+    0xbfe30ff7fce17035,     0x3fe9b3e047f38741,     //  -0.5957,  0.80321'
+    0xbfe44cf325091dd6,     0x3fe8bc806b151741,     // -0.63439,  0.77301'
+    0xbfe57d69348cec9f,     0x3fe7b5df226aafb0,     // -0.67156,  0.74095'
+    0xbfe6a09e667f3bcc,     0x3fe6a09e667f3bcc,     // -0.70711,  0.70711'
+    0xbfe7b5df226aafb0,     0x3fe57d69348cec9f,     // -0.74095,  0.67156'
+    0xbfe8bc806b151741,     0x3fe44cf325091dd6,     // -0.77301,  0.63439'
+    0xbfe9b3e047f38741,     0x3fe30ff7fce17035,     // -0.80321,   0.5957'
+    0xbfea9b66290ea1a3,     0x3fe1c73b39ae68c8,     // -0.83147,  0.55557'
+    0xbfeb728345196e3e,     0x3fe073879922ffed,     // -0.85773,   0.5141'
+    0xbfec38b2f180bdb1,     0x3fde2b5d3806f63b,     // -0.88192,   0.4714'
+    0xbfeced7af43cc773,     0x3fdb5d1009e15cc0,     // -0.90399,  0.42756'
+    0xbfed906bcf328d46,     0x3fd87de2a6aea963,     // -0.92388,  0.38268'
+    0xbfee212104f686e5,     0x3fd58f9a75ab1fdd,     // -0.94154,  0.33689'
+    0xbfee9f4156c62dda,     0x3fd294062ed59f05,     // -0.95694,  0.29028'
+    0xbfef0a7efb9230d7,     0x3fcf19f97b215f1a,     // -0.97003,  0.24298'
+    0xbfef6297cff75cb0,     0x3fc8f8b83c69a60a,     // -0.98079,  0.19509'
+    0xbfefa7557f08a517,     0x3fc2c8106e8e613a,     // -0.98918,  0.14673'
+    0xbfefd88da3d12526,     0x3fb917a6bc29b42c,     // -0.99518, 0.098017'
+    0xbfeff621e3796d7e,     0x3fa91f65f10dd814,     //  -0.9988, 0.049068'
+    0xbff0000000000000,     0x0000000000000000,     //       -1,        0'
+    0xbfeff621e3796d7e,     0xbfa91f65f10dd814,     //  -0.9988,-0.049068'
+    0xbfefd88da3d12526,     0xbfb917a6bc29b42c,     // -0.99518,-0.098017'
+    0xbfefa7557f08a517,     0xbfc2c8106e8e613a,     // -0.98918, -0.14673'
+    0xbfef6297cff75cb0,     0xbfc8f8b83c69a60a,     // -0.98079, -0.19509'
+    0xbfef0a7efb9230d7,     0xbfcf19f97b215f1a,     // -0.97003, -0.24298'
+    0xbfee9f4156c62dda,     0xbfd294062ed59f05,     // -0.95694, -0.29028'
+    0xbfee212104f686e5,     0xbfd58f9a75ab1fdd,     // -0.94154, -0.33689'
+    0xbfed906bcf328d46,     0xbfd87de2a6aea963,     // -0.92388, -0.38268'
+    0xbfeced7af43cc773,     0xbfdb5d1009e15cc0,     // -0.90399, -0.42756'
+    0xbfec38b2f180bdb1,     0xbfde2b5d3806f63b,     // -0.88192,  -0.4714'
+    0xbfeb728345196e3e,     0xbfe073879922ffed,     // -0.85773,  -0.5141'
+    0xbfea9b66290ea1a3,     0xbfe1c73b39ae68c8,     // -0.83147, -0.55557'
+    0xbfe9b3e047f38741,     0xbfe30ff7fce17035,     // -0.80321,  -0.5957'
+    0xbfe8bc806b151741,     0xbfe44cf325091dd6,     // -0.77301, -0.63439'
+    0xbfe7b5df226aafb0,     0xbfe57d69348cec9f,     // -0.74095, -0.67156'
+    0xbfe6a09e667f3bcc,     0xbfe6a09e667f3bcc,     // -0.70711, -0.70711'
+    0xbfe57d69348cec9f,     0xbfe7b5df226aafb0,     // -0.67156, -0.74095'
+    0xbfe44cf325091dd6,     0xbfe8bc806b151741,     // -0.63439, -0.77301'
+    0xbfe30ff7fce17035,     0xbfe9b3e047f38741,     //  -0.5957, -0.80321'
+    0xbfe1c73b39ae68c8,     0xbfea9b66290ea1a3,     // -0.55557, -0.83147'
+    0xbfe073879922ffed,     0xbfeb728345196e3e,     //  -0.5141, -0.85773'
+    0xbfde2b5d3806f63b,     0xbfec38b2f180bdb1,     //  -0.4714, -0.88192'
+    0xbfdb5d1009e15cc0,     0xbfeced7af43cc773,     // -0.42756, -0.90399'
+    0xbfd87de2a6aea963,     0xbfed906bcf328d46,     // -0.38268, -0.92388'
+    0xbfd58f9a75ab1fdd,     0xbfee212104f686e5,     // -0.33689, -0.94154'
+    0xbfd294062ed59f05,     0xbfee9f4156c62dda,     // -0.29028, -0.95694'
+    0xbfcf19f97b215f1a,     0xbfef0a7efb9230d7,     // -0.24298, -0.97003'
+    0xbfc8f8b83c69a60a,     0xbfef6297cff75cb0,     // -0.19509, -0.98079'
+    0xbfc2c8106e8e613a,     0xbfefa7557f08a517,     // -0.14673, -0.98918'
+    0xbfb917a6bc29b42c,     0xbfefd88da3d12526,     //-0.098017, -0.99518'
+    0xbfa91f65f10dd814,     0xbfeff621e3796d7e,     //-0.049068,  -0.9988'
+    0x0000000000000000,     0xbff0000000000000,     //        0,       -1'
+    0x3fa91f65f10dd814,     0xbfeff621e3796d7e,     // 0.049068,  -0.9988'
+    0x3fb917a6bc29b42c,     0xbfefd88da3d12526,     // 0.098017, -0.99518'
+    0x3fc2c8106e8e613a,     0xbfefa7557f08a517,     //  0.14673, -0.98918'
+    0x3fc8f8b83c69a60a,     0xbfef6297cff75cb0,     //  0.19509, -0.98079'
+    0x3fcf19f97b215f1a,     0xbfef0a7efb9230d7,     //  0.24298, -0.97003'
+    0x3fd294062ed59f05,     0xbfee9f4156c62dda,     //  0.29028, -0.95694'
+    0x3fd58f9a75ab1fdd,     0xbfee212104f686e5,     //  0.33689, -0.94154'
+    0x3fd87de2a6aea963,     0xbfed906bcf328d46,     //  0.38268, -0.92388'
+    0x3fdb5d1009e15cc0,     0xbfeced7af43cc773,     //  0.42756, -0.90399'
+    0x3fde2b5d3806f63b,     0xbfec38b2f180bdb1,     //   0.4714, -0.88192'
+    0x3fe073879922ffed,     0xbfeb728345196e3e,     //   0.5141, -0.85773'
+    0x3fe1c73b39ae68c8,     0xbfea9b66290ea1a3,     //  0.55557, -0.83147'
+    0x3fe30ff7fce17035,     0xbfe9b3e047f38741,     //   0.5957, -0.80321'
+    0x3fe44cf325091dd6,     0xbfe8bc806b151741,     //  0.63439, -0.77301'
+    0x3fe57d69348cec9f,     0xbfe7b5df226aafb0,     //  0.67156, -0.74095'
+    0x3fe6a09e667f3bcc,     0xbfe6a09e667f3bcc,     //  0.70711, -0.70711'
+    0x3fe7b5df226aafb0,     0xbfe57d69348cec9f,     //  0.74095, -0.67156'
+    0x3fe8bc806b151741,     0xbfe44cf325091dd6,     //  0.77301, -0.63439'
+    0x3fe9b3e047f38741,     0xbfe30ff7fce17035,     //  0.80321,  -0.5957'
+    0x3fea9b66290ea1a3,     0xbfe1c73b39ae68c8,     //  0.83147, -0.55557'
+    0x3feb728345196e3e,     0xbfe073879922ffed,     //  0.85773,  -0.5141'
+    0x3fec38b2f180bdb1,     0xbfde2b5d3806f63b,     //  0.88192,  -0.4714'
+    0x3feced7af43cc773,     0xbfdb5d1009e15cc0,     //  0.90399, -0.42756'
+    0x3fed906bcf328d46,     0xbfd87de2a6aea963,     //  0.92388, -0.38268'
+    0x3fee212104f686e5,     0xbfd58f9a75ab1fdd,     //  0.94154, -0.33689'
+    0x3fee9f4156c62dda,     0xbfd294062ed59f05,     //  0.95694, -0.29028'
+    0x3fef0a7efb9230d7,     0xbfcf19f97b215f1a,     //  0.97003, -0.24298'
+    0x3fef6297cff75cb0,     0xbfc8f8b83c69a60a,     //  0.98079, -0.19509'
+    0x3fefa7557f08a517,     0xbfc2c8106e8e613a,     //  0.98918, -0.14673'
+    0x3fefd88da3d12526,     0xbfb917a6bc29b42c,     //  0.99518,-0.098017'
+    0x3feff621e3796d7e,     0xbfa91f65f10dd814,     //   0.9988,-0.049068'
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_256)
+/**
+  @par
+  Example code for Double Precision Floating-point Twiddle factors Generation:
+  @par
+  <pre>for(i = 0; i< N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  } </pre>
+  @par
+  where N = 256, PI = 3.14159265358979
+  @par
+  Cos and Sin values are in interleaved fashion
+*/
+const uint64_t twiddleCoefF64_256[512] = {
+    0x3ff0000000000000,     0x0000000000000000,     //        1,        0
+    0x3feffd886084cd0d,     0x3f992155f7a3667e,     //   0.9997, 0.024541
+    0x3feff621e3796d7e,     0x3fa91f65f10dd814,     //   0.9988, 0.049068
+    0x3fefe9cdad01883a,     0x3fb2d52092ce19f6,     //  0.99729, 0.073565
+    0x3fefd88da3d12526,     0x3fb917a6bc29b42c,     //  0.99518, 0.098017
+    0x3fefc26470e19fd3,     0x3fbf564e56a9730e,     //  0.99248,  0.12241
+    0x3fefa7557f08a517,     0x3fc2c8106e8e613a,     //  0.98918,  0.14673
+    0x3fef8764fa714ba9,     0x3fc5e214448b3fc6,     //  0.98528,  0.17096
+    0x3fef6297cff75cb0,     0x3fc8f8b83c69a60a,     //  0.98079,  0.19509
+    0x3fef38f3ac64e589,     0x3fcc0b826a7e4f63,     //   0.9757,   0.2191
+    0x3fef0a7efb9230d7,     0x3fcf19f97b215f1a,     //  0.97003,  0.24298
+    0x3feed740e7684963,     0x3fd111d262b1f677,     //  0.96378,  0.26671
+    0x3fee9f4156c62dda,     0x3fd294062ed59f05,     //  0.95694,  0.29028
+    0x3fee6288ec48e112,     0x3fd4135c94176602,     //  0.94953,  0.31368
+    0x3fee212104f686e5,     0x3fd58f9a75ab1fdd,     //  0.94154,  0.33689
+    0x3feddb13b6ccc23d,     0x3fd7088530fa459e,     //  0.93299,   0.3599
+    0x3fed906bcf328d46,     0x3fd87de2a6aea963,     //  0.92388,  0.38268
+    0x3fed4134d14dc93a,     0x3fd9ef7943a8ed8a,     //  0.91421,  0.40524
+    0x3feced7af43cc773,     0x3fdb5d1009e15cc0,     //  0.90399,  0.42756
+    0x3fec954b213411f5,     0x3fdcc66e9931c45d,     //  0.89322,  0.44961
+    0x3fec38b2f180bdb1,     0x3fde2b5d3806f63b,     //  0.88192,   0.4714
+    0x3febd7c0ac6f952a,     0x3fdf8ba4dbf89aba,     //  0.87009,   0.4929
+    0x3feb728345196e3e,     0x3fe073879922ffed,     //  0.85773,   0.5141
+    0x3feb090a58150200,     0x3fe11eb3541b4b22,     //  0.84485,    0.535
+    0x3fea9b66290ea1a3,     0x3fe1c73b39ae68c8,     //  0.83147,  0.55557
+    0x3fea29a7a0462782,     0x3fe26d054cdd12df,     //  0.81758,  0.57581
+    0x3fe9b3e047f38741,     0x3fe30ff7fce17035,     //  0.80321,   0.5957
+    0x3fe93a22499263fc,     0x3fe3affa292050b9,     //  0.78835,  0.61523
+    0x3fe8bc806b151741,     0x3fe44cf325091dd6,     //  0.77301,  0.63439
+    0x3fe83b0e0bff976e,     0x3fe4e6cabbe3e5e9,     //  0.75721,  0.65317
+    0x3fe7b5df226aafb0,     0x3fe57d69348cec9f,     //  0.74095,  0.67156
+    0x3fe72d0837efff97,     0x3fe610b7551d2cde,     //  0.72425,  0.68954
+    0x3fe6a09e667f3bcc,     0x3fe6a09e667f3bcc,     //  0.70711,  0.70711
+    0x3fe610b7551d2cde,     0x3fe72d0837efff97,     //  0.68954,  0.72425
+    0x3fe57d69348cec9f,     0x3fe7b5df226aafb0,     //  0.67156,  0.74095
+    0x3fe4e6cabbe3e5e9,     0x3fe83b0e0bff976e,     //  0.65317,  0.75721
+    0x3fe44cf325091dd6,     0x3fe8bc806b151741,     //  0.63439,  0.77301
+    0x3fe3affa292050b9,     0x3fe93a22499263fc,     //  0.61523,  0.78835
+    0x3fe30ff7fce17035,     0x3fe9b3e047f38741,     //   0.5957,  0.80321
+    0x3fe26d054cdd12df,     0x3fea29a7a0462782,     //  0.57581,  0.81758
+    0x3fe1c73b39ae68c8,     0x3fea9b66290ea1a3,     //  0.55557,  0.83147
+    0x3fe11eb3541b4b22,     0x3feb090a58150200,     //    0.535,  0.84485
+    0x3fe073879922ffed,     0x3feb728345196e3e,     //   0.5141,  0.85773
+    0x3fdf8ba4dbf89aba,     0x3febd7c0ac6f952a,     //   0.4929,  0.87009
+    0x3fde2b5d3806f63b,     0x3fec38b2f180bdb1,     //   0.4714,  0.88192
+    0x3fdcc66e9931c45d,     0x3fec954b213411f5,     //  0.44961,  0.89322
+    0x3fdb5d1009e15cc0,     0x3feced7af43cc773,     //  0.42756,  0.90399
+    0x3fd9ef7943a8ed8a,     0x3fed4134d14dc93a,     //  0.40524,  0.91421
+    0x3fd87de2a6aea963,     0x3fed906bcf328d46,     //  0.38268,  0.92388
+    0x3fd7088530fa459e,     0x3feddb13b6ccc23d,     //   0.3599,  0.93299
+    0x3fd58f9a75ab1fdd,     0x3fee212104f686e5,     //  0.33689,  0.94154
+    0x3fd4135c94176602,     0x3fee6288ec48e112,     //  0.31368,  0.94953
+    0x3fd294062ed59f05,     0x3fee9f4156c62dda,     //  0.29028,  0.95694
+    0x3fd111d262b1f677,     0x3feed740e7684963,     //  0.26671,  0.96378
+    0x3fcf19f97b215f1a,     0x3fef0a7efb9230d7,     //  0.24298,  0.97003
+    0x3fcc0b826a7e4f63,     0x3fef38f3ac64e589,     //   0.2191,   0.9757
+    0x3fc8f8b83c69a60a,     0x3fef6297cff75cb0,     //  0.19509,  0.98079
+    0x3fc5e214448b3fc6,     0x3fef8764fa714ba9,     //  0.17096,  0.98528
+    0x3fc2c8106e8e613a,     0x3fefa7557f08a517,     //  0.14673,  0.98918
+    0x3fbf564e56a9730e,     0x3fefc26470e19fd3,     //  0.12241,  0.99248
+    0x3fb917a6bc29b42c,     0x3fefd88da3d12526,     // 0.098017,  0.99518
+    0x3fb2d52092ce19f6,     0x3fefe9cdad01883a,     // 0.073565,  0.99729
+    0x3fa91f65f10dd814,     0x3feff621e3796d7e,     // 0.049068,   0.9988
+    0x3f992155f7a3667e,     0x3feffd886084cd0d,     // 0.024541,   0.9997
+    0x0000000000000000,     0x3ff0000000000000,     //        0,        1
+    0xbf992155f7a3667e,     0x3feffd886084cd0d,     //-0.024541,   0.9997
+    0xbfa91f65f10dd814,     0x3feff621e3796d7e,     //-0.049068,   0.9988
+    0xbfb2d52092ce19f6,     0x3fefe9cdad01883a,     //-0.073565,  0.99729
+    0xbfb917a6bc29b42c,     0x3fefd88da3d12526,     //-0.098017,  0.99518
+    0xbfbf564e56a9730e,     0x3fefc26470e19fd3,     // -0.12241,  0.99248
+    0xbfc2c8106e8e613a,     0x3fefa7557f08a517,     // -0.14673,  0.98918
+    0xbfc5e214448b3fc6,     0x3fef8764fa714ba9,     // -0.17096,  0.98528
+    0xbfc8f8b83c69a60a,     0x3fef6297cff75cb0,     // -0.19509,  0.98079
+    0xbfcc0b826a7e4f63,     0x3fef38f3ac64e589,     //  -0.2191,   0.9757
+    0xbfcf19f97b215f1a,     0x3fef0a7efb9230d7,     // -0.24298,  0.97003
+    0xbfd111d262b1f677,     0x3feed740e7684963,     // -0.26671,  0.96378
+    0xbfd294062ed59f05,     0x3fee9f4156c62dda,     // -0.29028,  0.95694
+    0xbfd4135c94176602,     0x3fee6288ec48e112,     // -0.31368,  0.94953
+    0xbfd58f9a75ab1fdd,     0x3fee212104f686e5,     // -0.33689,  0.94154
+    0xbfd7088530fa459e,     0x3feddb13b6ccc23d,     //  -0.3599,  0.93299
+    0xbfd87de2a6aea963,     0x3fed906bcf328d46,     // -0.38268,  0.92388
+    0xbfd9ef7943a8ed8a,     0x3fed4134d14dc93a,     // -0.40524,  0.91421
+    0xbfdb5d1009e15cc0,     0x3feced7af43cc773,     // -0.42756,  0.90399
+    0xbfdcc66e9931c45d,     0x3fec954b213411f5,     // -0.44961,  0.89322
+    0xbfde2b5d3806f63b,     0x3fec38b2f180bdb1,     //  -0.4714,  0.88192
+    0xbfdf8ba4dbf89aba,     0x3febd7c0ac6f952a,     //  -0.4929,  0.87009
+    0xbfe073879922ffed,     0x3feb728345196e3e,     //  -0.5141,  0.85773
+    0xbfe11eb3541b4b22,     0x3feb090a58150200,     //   -0.535,  0.84485
+    0xbfe1c73b39ae68c8,     0x3fea9b66290ea1a3,     // -0.55557,  0.83147
+    0xbfe26d054cdd12df,     0x3fea29a7a0462782,     // -0.57581,  0.81758
+    0xbfe30ff7fce17035,     0x3fe9b3e047f38741,     //  -0.5957,  0.80321
+    0xbfe3affa292050b9,     0x3fe93a22499263fc,     // -0.61523,  0.78835
+    0xbfe44cf325091dd6,     0x3fe8bc806b151741,     // -0.63439,  0.77301
+    0xbfe4e6cabbe3e5e9,     0x3fe83b0e0bff976e,     // -0.65317,  0.75721
+    0xbfe57d69348cec9f,     0x3fe7b5df226aafb0,     // -0.67156,  0.74095
+    0xbfe610b7551d2cde,     0x3fe72d0837efff97,     // -0.68954,  0.72425
+    0xbfe6a09e667f3bcc,     0x3fe6a09e667f3bcc,     // -0.70711,  0.70711
+    0xbfe72d0837efff97,     0x3fe610b7551d2cde,     // -0.72425,  0.68954
+    0xbfe7b5df226aafb0,     0x3fe57d69348cec9f,     // -0.74095,  0.67156
+    0xbfe83b0e0bff976e,     0x3fe4e6cabbe3e5e9,     // -0.75721,  0.65317
+    0xbfe8bc806b151741,     0x3fe44cf325091dd6,     // -0.77301,  0.63439
+    0xbfe93a22499263fc,     0x3fe3affa292050b9,     // -0.78835,  0.61523
+    0xbfe9b3e047f38741,     0x3fe30ff7fce17035,     // -0.80321,   0.5957
+    0xbfea29a7a0462782,     0x3fe26d054cdd12df,     // -0.81758,  0.57581
+    0xbfea9b66290ea1a3,     0x3fe1c73b39ae68c8,     // -0.83147,  0.55557
+    0xbfeb090a58150200,     0x3fe11eb3541b4b22,     // -0.84485,    0.535
+    0xbfeb728345196e3e,     0x3fe073879922ffed,     // -0.85773,   0.5141
+    0xbfebd7c0ac6f952a,     0x3fdf8ba4dbf89aba,     // -0.87009,   0.4929
+    0xbfec38b2f180bdb1,     0x3fde2b5d3806f63b,     // -0.88192,   0.4714
+    0xbfec954b213411f5,     0x3fdcc66e9931c45d,     // -0.89322,  0.44961
+    0xbfeced7af43cc773,     0x3fdb5d1009e15cc0,     // -0.90399,  0.42756
+    0xbfed4134d14dc93a,     0x3fd9ef7943a8ed8a,     // -0.91421,  0.40524
+    0xbfed906bcf328d46,     0x3fd87de2a6aea963,     // -0.92388,  0.38268
+    0xbfeddb13b6ccc23d,     0x3fd7088530fa459e,     // -0.93299,   0.3599
+    0xbfee212104f686e5,     0x3fd58f9a75ab1fdd,     // -0.94154,  0.33689
+    0xbfee6288ec48e112,     0x3fd4135c94176602,     // -0.94953,  0.31368
+    0xbfee9f4156c62dda,     0x3fd294062ed59f05,     // -0.95694,  0.29028
+    0xbfeed740e7684963,     0x3fd111d262b1f677,     // -0.96378,  0.26671
+    0xbfef0a7efb9230d7,     0x3fcf19f97b215f1a,     // -0.97003,  0.24298
+    0xbfef38f3ac64e589,     0x3fcc0b826a7e4f63,     //  -0.9757,   0.2191
+    0xbfef6297cff75cb0,     0x3fc8f8b83c69a60a,     // -0.98079,  0.19509
+    0xbfef8764fa714ba9,     0x3fc5e214448b3fc6,     // -0.98528,  0.17096
+    0xbfefa7557f08a517,     0x3fc2c8106e8e613a,     // -0.98918,  0.14673
+    0xbfefc26470e19fd3,     0x3fbf564e56a9730e,     // -0.99248,  0.12241
+    0xbfefd88da3d12526,     0x3fb917a6bc29b42c,     // -0.99518, 0.098017
+    0xbfefe9cdad01883a,     0x3fb2d52092ce19f6,     // -0.99729, 0.073565
+    0xbfeff621e3796d7e,     0x3fa91f65f10dd814,     //  -0.9988, 0.049068
+    0xbfeffd886084cd0d,     0x3f992155f7a3667e,     //  -0.9997, 0.024541
+    0xbff0000000000000,     0x0000000000000000,     //       -1,        0
+    0xbfeffd886084cd0d,     0xbf992155f7a3667e,     //  -0.9997,-0.024541
+    0xbfeff621e3796d7e,     0xbfa91f65f10dd814,     //  -0.9988,-0.049068
+    0xbfefe9cdad01883a,     0xbfb2d52092ce19f6,     // -0.99729,-0.073565
+    0xbfefd88da3d12526,     0xbfb917a6bc29b42c,     // -0.99518,-0.098017
+    0xbfefc26470e19fd3,     0xbfbf564e56a9730e,     // -0.99248, -0.12241
+    0xbfefa7557f08a517,     0xbfc2c8106e8e613a,     // -0.98918, -0.14673
+    0xbfef8764fa714ba9,     0xbfc5e214448b3fc6,     // -0.98528, -0.17096
+    0xbfef6297cff75cb0,     0xbfc8f8b83c69a60a,     // -0.98079, -0.19509
+    0xbfef38f3ac64e589,     0xbfcc0b826a7e4f63,     //  -0.9757,  -0.2191
+    0xbfef0a7efb9230d7,     0xbfcf19f97b215f1a,     // -0.97003, -0.24298
+    0xbfeed740e7684963,     0xbfd111d262b1f677,     // -0.96378, -0.26671
+    0xbfee9f4156c62dda,     0xbfd294062ed59f05,     // -0.95694, -0.29028
+    0xbfee6288ec48e112,     0xbfd4135c94176602,     // -0.94953, -0.31368
+    0xbfee212104f686e5,     0xbfd58f9a75ab1fdd,     // -0.94154, -0.33689
+    0xbfeddb13b6ccc23d,     0xbfd7088530fa459e,     // -0.93299,  -0.3599
+    0xbfed906bcf328d46,     0xbfd87de2a6aea963,     // -0.92388, -0.38268
+    0xbfed4134d14dc93a,     0xbfd9ef7943a8ed8a,     // -0.91421, -0.40524
+    0xbfeced7af43cc773,     0xbfdb5d1009e15cc0,     // -0.90399, -0.42756
+    0xbfec954b213411f5,     0xbfdcc66e9931c45d,     // -0.89322, -0.44961
+    0xbfec38b2f180bdb1,     0xbfde2b5d3806f63b,     // -0.88192,  -0.4714
+    0xbfebd7c0ac6f952a,     0xbfdf8ba4dbf89aba,     // -0.87009,  -0.4929
+    0xbfeb728345196e3e,     0xbfe073879922ffed,     // -0.85773,  -0.5141
+    0xbfeb090a58150200,     0xbfe11eb3541b4b22,     // -0.84485,   -0.535
+    0xbfea9b66290ea1a3,     0xbfe1c73b39ae68c8,     // -0.83147, -0.55557
+    0xbfea29a7a0462782,     0xbfe26d054cdd12df,     // -0.81758, -0.57581
+    0xbfe9b3e047f38741,     0xbfe30ff7fce17035,     // -0.80321,  -0.5957
+    0xbfe93a22499263fc,     0xbfe3affa292050b9,     // -0.78835, -0.61523
+    0xbfe8bc806b151741,     0xbfe44cf325091dd6,     // -0.77301, -0.63439
+    0xbfe83b0e0bff976e,     0xbfe4e6cabbe3e5e9,     // -0.75721, -0.65317
+    0xbfe7b5df226aafb0,     0xbfe57d69348cec9f,     // -0.74095, -0.67156
+    0xbfe72d0837efff97,     0xbfe610b7551d2cde,     // -0.72425, -0.68954
+    0xbfe6a09e667f3bcc,     0xbfe6a09e667f3bcc,     // -0.70711, -0.70711
+    0xbfe610b7551d2cde,     0xbfe72d0837efff97,     // -0.68954, -0.72425
+    0xbfe57d69348cec9f,     0xbfe7b5df226aafb0,     // -0.67156, -0.74095
+    0xbfe4e6cabbe3e5e9,     0xbfe83b0e0bff976e,     // -0.65317, -0.75721
+    0xbfe44cf325091dd6,     0xbfe8bc806b151741,     // -0.63439, -0.77301
+    0xbfe3affa292050b9,     0xbfe93a22499263fc,     // -0.61523, -0.78835
+    0xbfe30ff7fce17035,     0xbfe9b3e047f38741,     //  -0.5957, -0.80321
+    0xbfe26d054cdd12df,     0xbfea29a7a0462782,     // -0.57581, -0.81758
+    0xbfe1c73b39ae68c8,     0xbfea9b66290ea1a3,     // -0.55557, -0.83147
+    0xbfe11eb3541b4b22,     0xbfeb090a58150200,     //   -0.535, -0.84485
+    0xbfe073879922ffed,     0xbfeb728345196e3e,     //  -0.5141, -0.85773
+    0xbfdf8ba4dbf89aba,     0xbfebd7c0ac6f952a,     //  -0.4929, -0.87009
+    0xbfde2b5d3806f63b,     0xbfec38b2f180bdb1,     //  -0.4714, -0.88192
+    0xbfdcc66e9931c45d,     0xbfec954b213411f5,     // -0.44961, -0.89322
+    0xbfdb5d1009e15cc0,     0xbfeced7af43cc773,     // -0.42756, -0.90399
+    0xbfd9ef7943a8ed8a,     0xbfed4134d14dc93a,     // -0.40524, -0.91421
+    0xbfd87de2a6aea963,     0xbfed906bcf328d46,     // -0.38268, -0.92388
+    0xbfd7088530fa459e,     0xbfeddb13b6ccc23d,     //  -0.3599, -0.93299
+    0xbfd58f9a75ab1fdd,     0xbfee212104f686e5,     // -0.33689, -0.94154
+    0xbfd4135c94176602,     0xbfee6288ec48e112,     // -0.31368, -0.94953
+    0xbfd294062ed59f05,     0xbfee9f4156c62dda,     // -0.29028, -0.95694
+    0xbfd111d262b1f677,     0xbfeed740e7684963,     // -0.26671, -0.96378
+    0xbfcf19f97b215f1a,     0xbfef0a7efb9230d7,     // -0.24298, -0.97003
+    0xbfcc0b826a7e4f63,     0xbfef38f3ac64e589,     //  -0.2191,  -0.9757
+    0xbfc8f8b83c69a60a,     0xbfef6297cff75cb0,     // -0.19509, -0.98079
+    0xbfc5e214448b3fc6,     0xbfef8764fa714ba9,     // -0.17096, -0.98528
+    0xbfc2c8106e8e613a,     0xbfefa7557f08a517,     // -0.14673, -0.98918
+    0xbfbf564e56a9730e,     0xbfefc26470e19fd3,     // -0.12241, -0.99248
+    0xbfb917a6bc29b42c,     0xbfefd88da3d12526,     //-0.098017, -0.99518
+    0xbfb2d52092ce19f6,     0xbfefe9cdad01883a,     //-0.073565, -0.99729
+    0xbfa91f65f10dd814,     0xbfeff621e3796d7e,     //-0.049068,  -0.9988
+    0xbf992155f7a3667e,     0xbfeffd886084cd0d,     //-0.024541,  -0.9997
+    0x0000000000000000,     0xbff0000000000000,     //        0,       -1
+    0x3f992155f7a3667e,     0xbfeffd886084cd0d,     // 0.024541,  -0.9997
+    0x3fa91f65f10dd814,     0xbfeff621e3796d7e,     // 0.049068,  -0.9988
+    0x3fb2d52092ce19f6,     0xbfefe9cdad01883a,     // 0.073565, -0.99729
+    0x3fb917a6bc29b42c,     0xbfefd88da3d12526,     // 0.098017, -0.99518
+    0x3fbf564e56a9730e,     0xbfefc26470e19fd3,     //  0.12241, -0.99248
+    0x3fc2c8106e8e613a,     0xbfefa7557f08a517,     //  0.14673, -0.98918
+    0x3fc5e214448b3fc6,     0xbfef8764fa714ba9,     //  0.17096, -0.98528
+    0x3fc8f8b83c69a60a,     0xbfef6297cff75cb0,     //  0.19509, -0.98079
+    0x3fcc0b826a7e4f63,     0xbfef38f3ac64e589,     //   0.2191,  -0.9757
+    0x3fcf19f97b215f1a,     0xbfef0a7efb9230d7,     //  0.24298, -0.97003
+    0x3fd111d262b1f677,     0xbfeed740e7684963,     //  0.26671, -0.96378
+    0x3fd294062ed59f05,     0xbfee9f4156c62dda,     //  0.29028, -0.95694
+    0x3fd4135c94176602,     0xbfee6288ec48e112,     //  0.31368, -0.94953
+    0x3fd58f9a75ab1fdd,     0xbfee212104f686e5,     //  0.33689, -0.94154
+    0x3fd7088530fa459e,     0xbfeddb13b6ccc23d,     //   0.3599, -0.93299
+    0x3fd87de2a6aea963,     0xbfed906bcf328d46,     //  0.38268, -0.92388
+    0x3fd9ef7943a8ed8a,     0xbfed4134d14dc93a,     //  0.40524, -0.91421
+    0x3fdb5d1009e15cc0,     0xbfeced7af43cc773,     //  0.42756, -0.90399
+    0x3fdcc66e9931c45d,     0xbfec954b213411f5,     //  0.44961, -0.89322
+    0x3fde2b5d3806f63b,     0xbfec38b2f180bdb1,     //   0.4714, -0.88192
+    0x3fdf8ba4dbf89aba,     0xbfebd7c0ac6f952a,     //   0.4929, -0.87009
+    0x3fe073879922ffed,     0xbfeb728345196e3e,     //   0.5141, -0.85773
+    0x3fe11eb3541b4b22,     0xbfeb090a58150200,     //    0.535, -0.84485
+    0x3fe1c73b39ae68c8,     0xbfea9b66290ea1a3,     //  0.55557, -0.83147
+    0x3fe26d054cdd12df,     0xbfea29a7a0462782,     //  0.57581, -0.81758
+    0x3fe30ff7fce17035,     0xbfe9b3e047f38741,     //   0.5957, -0.80321
+    0x3fe3affa292050b9,     0xbfe93a22499263fc,     //  0.61523, -0.78835
+    0x3fe44cf325091dd6,     0xbfe8bc806b151741,     //  0.63439, -0.77301
+    0x3fe4e6cabbe3e5e9,     0xbfe83b0e0bff976e,     //  0.65317, -0.75721
+    0x3fe57d69348cec9f,     0xbfe7b5df226aafb0,     //  0.67156, -0.74095
+    0x3fe610b7551d2cde,     0xbfe72d0837efff97,     //  0.68954, -0.72425
+    0x3fe6a09e667f3bcc,     0xbfe6a09e667f3bcc,     //  0.70711, -0.70711
+    0x3fe72d0837efff97,     0xbfe610b7551d2cde,     //  0.72425, -0.68954
+    0x3fe7b5df226aafb0,     0xbfe57d69348cec9f,     //  0.74095, -0.67156
+    0x3fe83b0e0bff976e,     0xbfe4e6cabbe3e5e9,     //  0.75721, -0.65317
+    0x3fe8bc806b151741,     0xbfe44cf325091dd6,     //  0.77301, -0.63439
+    0x3fe93a22499263fc,     0xbfe3affa292050b9,     //  0.78835, -0.61523
+    0x3fe9b3e047f38741,     0xbfe30ff7fce17035,     //  0.80321,  -0.5957
+    0x3fea29a7a0462782,     0xbfe26d054cdd12df,     //  0.81758, -0.57581
+    0x3fea9b66290ea1a3,     0xbfe1c73b39ae68c8,     //  0.83147, -0.55557
+    0x3feb090a58150200,     0xbfe11eb3541b4b22,     //  0.84485,   -0.535
+    0x3feb728345196e3e,     0xbfe073879922ffed,     //  0.85773,  -0.5141
+    0x3febd7c0ac6f952a,     0xbfdf8ba4dbf89aba,     //  0.87009,  -0.4929
+    0x3fec38b2f180bdb1,     0xbfde2b5d3806f63b,     //  0.88192,  -0.4714
+    0x3fec954b213411f5,     0xbfdcc66e9931c45d,     //  0.89322, -0.44961
+    0x3feced7af43cc773,     0xbfdb5d1009e15cc0,     //  0.90399, -0.42756
+    0x3fed4134d14dc93a,     0xbfd9ef7943a8ed8a,     //  0.91421, -0.40524
+    0x3fed906bcf328d46,     0xbfd87de2a6aea963,     //  0.92388, -0.38268
+    0x3feddb13b6ccc23d,     0xbfd7088530fa459e,     //  0.93299,  -0.3599
+    0x3fee212104f686e5,     0xbfd58f9a75ab1fdd,     //  0.94154, -0.33689
+    0x3fee6288ec48e112,     0xbfd4135c94176602,     //  0.94953, -0.31368
+    0x3fee9f4156c62dda,     0xbfd294062ed59f05,     //  0.95694, -0.29028
+    0x3feed740e7684963,     0xbfd111d262b1f677,     //  0.96378, -0.26671
+    0x3fef0a7efb9230d7,     0xbfcf19f97b215f1a,     //  0.97003, -0.24298
+    0x3fef38f3ac64e589,     0xbfcc0b826a7e4f63,     //   0.9757,  -0.2191
+    0x3fef6297cff75cb0,     0xbfc8f8b83c69a60a,     //  0.98079, -0.19509
+    0x3fef8764fa714ba9,     0xbfc5e214448b3fc6,     //  0.98528, -0.17096
+    0x3fefa7557f08a517,     0xbfc2c8106e8e613a,     //  0.98918, -0.14673
+    0x3fefc26470e19fd3,     0xbfbf564e56a9730e,     //  0.99248, -0.12241
+    0x3fefd88da3d12526,     0xbfb917a6bc29b42c,     //  0.99518,-0.098017
+    0x3fefe9cdad01883a,     0xbfb2d52092ce19f6,     //  0.99729,-0.073565
+    0x3feff621e3796d7e,     0xbfa91f65f10dd814,     //   0.9988,-0.049068
+    0x3feffd886084cd0d,     0xbf992155f7a3667e,     //   0.9997,-0.024541
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_512)
+/**
+  @par
+  Example code for Double Precision Floating-point Twiddle factors Generation:
+  @par
+  <pre>for (i = 0; i< N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  } </pre>
+  @par
+  where N = 512, PI = 3.14159265358979
+  @par
+  Cos and Sin values are in interleaved fashion
+*/
+const uint64_t twiddleCoefF64_512[1024] = {
+    0x3ff0000000000000,     0x0000000000000000,     //        1,        0
+    0x3fefff62169b92db,     0x3f8921d1fcdec784,     //  0.99992, 0.012272
+    0x3feffd886084cd0d,     0x3f992155f7a3667e,     //   0.9997, 0.024541
+    0x3feffa72effef75d,     0x3fa2d865759455cd,     //  0.99932, 0.036807
+    0x3feff621e3796d7e,     0x3fa91f65f10dd814,     //   0.9988, 0.049068
+    0x3feff095658e71ad,     0x3faf656e79f820e0,     //  0.99812, 0.061321
+    0x3fefe9cdad01883a,     0x3fb2d52092ce19f6,     //  0.99729, 0.073565
+    0x3fefe1cafcbd5b09,     0x3fb5f6d00a9aa419,     //  0.99631, 0.085797
+    0x3fefd88da3d12526,     0x3fb917a6bc29b42c,     //  0.99518, 0.098017
+    0x3fefce15fd6da67b,     0x3fbc3785c79ec2d5,     //  0.99391,  0.11022
+    0x3fefc26470e19fd3,     0x3fbf564e56a9730e,     //  0.99248,  0.12241
+    0x3fefb5797195d741,     0x3fc139f0cedaf576,     //   0.9909,  0.13458
+    0x3fefa7557f08a517,     0x3fc2c8106e8e613a,     //  0.98918,  0.14673
+    0x3fef97f924c9099b,     0x3fc45576b1293e5a,     //   0.9873,  0.15886
+    0x3fef8764fa714ba9,     0x3fc5e214448b3fc6,     //  0.98528,  0.17096
+    0x3fef7599a3a12077,     0x3fc76dd9de50bf31,     //  0.98311,  0.18304
+    0x3fef6297cff75cb0,     0x3fc8f8b83c69a60a,     //  0.98079,  0.19509
+    0x3fef4e603b0b2f2d,     0x3fca82a025b00451,     //  0.97832,  0.20711
+    0x3fef38f3ac64e589,     0x3fcc0b826a7e4f63,     //   0.9757,   0.2191
+    0x3fef2252f7763ada,     0x3fcd934fe5454311,     //  0.97294,  0.23106
+    0x3fef0a7efb9230d7,     0x3fcf19f97b215f1a,     //  0.97003,  0.24298
+    0x3feef178a3e473c2,     0x3fd04fb80e37fdae,     //  0.96698,  0.25487
+    0x3feed740e7684963,     0x3fd111d262b1f677,     //  0.96378,  0.26671
+    0x3feebbd8c8df0b74,     0x3fd1d3443f4cdb3d,     //  0.96043,  0.27852
+    0x3fee9f4156c62dda,     0x3fd294062ed59f05,     //  0.95694,  0.29028
+    0x3fee817bab4cd10d,     0x3fd35410c2e18152,     //  0.95331,  0.30201
+    0x3fee6288ec48e112,     0x3fd4135c94176602,     //  0.94953,  0.31368
+    0x3fee426a4b2bc17e,     0x3fd4d1e24278e76a,     //  0.94561,  0.32531
+    0x3fee212104f686e5,     0x3fd58f9a75ab1fdd,     //  0.94154,  0.33689
+    0x3fedfeae622dbe2b,     0x3fd64c7ddd3f27c6,     //  0.93734,  0.34842
+    0x3feddb13b6ccc23d,     0x3fd7088530fa459e,     //  0.93299,   0.3599
+    0x3fedb6526238a09b,     0x3fd7c3a9311dcce7,     //  0.92851,  0.37132
+    0x3fed906bcf328d46,     0x3fd87de2a6aea963,     //  0.92388,  0.38268
+    0x3fed696173c9e68b,     0x3fd9372a63bc93d7,     //  0.91911,  0.39399
+    0x3fed4134d14dc93a,     0x3fd9ef7943a8ed8a,     //  0.91421,  0.40524
+    0x3fed17e7743e35dc,     0x3fdaa6c82b6d3fc9,     //  0.90917,  0.41643
+    0x3feced7af43cc773,     0x3fdb5d1009e15cc0,     //  0.90399,  0.42756
+    0x3fecc1f0f3fcfc5c,     0x3fdc1249d8011ee7,     //  0.89867,  0.43862
+    0x3fec954b213411f5,     0x3fdcc66e9931c45d,     //  0.89322,  0.44961
+    0x3fec678b3488739b,     0x3fdd79775b86e389,     //  0.88764,  0.46054
+    0x3fec38b2f180bdb1,     0x3fde2b5d3806f63b,     //  0.88192,   0.4714
+    0x3fec08c426725549,     0x3fdedc1952ef78d5,     //  0.87607,  0.48218
+    0x3febd7c0ac6f952a,     0x3fdf8ba4dbf89aba,     //  0.87009,   0.4929
+    0x3feba5aa673590d2,     0x3fe01cfc874c3eb7,     //  0.86397,  0.50354
+    0x3feb728345196e3e,     0x3fe073879922ffed,     //  0.85773,   0.5141
+    0x3feb3e4d3ef55712,     0x3fe0c9704d5d898f,     //  0.85136,  0.52459
+    0x3feb090a58150200,     0x3fe11eb3541b4b22,     //  0.84485,    0.535
+    0x3fead2bc9e21d511,     0x3fe1734d63dedb49,     //  0.83822,  0.54532
+    0x3fea9b66290ea1a3,     0x3fe1c73b39ae68c8,     //  0.83147,  0.55557
+    0x3fea63091b02fae2,     0x3fe21a799933eb58,     //  0.82459,  0.56573
+    0x3fea29a7a0462782,     0x3fe26d054cdd12df,     //  0.81758,  0.57581
+    0x3fe9ef43ef29af94,     0x3fe2bedb25faf3ea,     //  0.81046,   0.5858
+    0x3fe9b3e047f38741,     0x3fe30ff7fce17035,     //  0.80321,   0.5957
+    0x3fe9777ef4c7d742,     0x3fe36058b10659f3,     //  0.79584,  0.60551
+    0x3fe93a22499263fc,     0x3fe3affa292050b9,     //  0.78835,  0.61523
+    0x3fe8fbcca3ef940d,     0x3fe3fed9534556d4,     //  0.78074,  0.62486
+    0x3fe8bc806b151741,     0x3fe44cf325091dd6,     //  0.77301,  0.63439
+    0x3fe87c400fba2ebf,     0x3fe49a449b9b0938,     //  0.76517,  0.64383
+    0x3fe83b0e0bff976e,     0x3fe4e6cabbe3e5e9,     //  0.75721,  0.65317
+    0x3fe7f8ece3571771,     0x3fe5328292a35596,     //  0.74914,  0.66242
+    0x3fe7b5df226aafb0,     0x3fe57d69348cec9f,     //  0.74095,  0.67156
+    0x3fe771e75f037261,     0x3fe5c77bbe65018c,     //  0.73265,   0.6806
+    0x3fe72d0837efff97,     0x3fe610b7551d2cde,     //  0.72425,  0.68954
+    0x3fe6e74454eaa8ae,     0x3fe6591925f0783e,     //  0.71573,  0.69838
+    0x3fe6a09e667f3bcc,     0x3fe6a09e667f3bcc,     //  0.70711,  0.70711
+    0x3fe6591925f0783e,     0x3fe6e74454eaa8ae,     //  0.69838,  0.71573
+    0x3fe610b7551d2cde,     0x3fe72d0837efff97,     //  0.68954,  0.72425
+    0x3fe5c77bbe65018c,     0x3fe771e75f037261,     //   0.6806,  0.73265
+    0x3fe57d69348cec9f,     0x3fe7b5df226aafb0,     //  0.67156,  0.74095
+    0x3fe5328292a35596,     0x3fe7f8ece3571771,     //  0.66242,  0.74914
+    0x3fe4e6cabbe3e5e9,     0x3fe83b0e0bff976e,     //  0.65317,  0.75721
+    0x3fe49a449b9b0938,     0x3fe87c400fba2ebf,     //  0.64383,  0.76517
+    0x3fe44cf325091dd6,     0x3fe8bc806b151741,     //  0.63439,  0.77301
+    0x3fe3fed9534556d4,     0x3fe8fbcca3ef940d,     //  0.62486,  0.78074
+    0x3fe3affa292050b9,     0x3fe93a22499263fc,     //  0.61523,  0.78835
+    0x3fe36058b10659f3,     0x3fe9777ef4c7d742,     //  0.60551,  0.79584
+    0x3fe30ff7fce17035,     0x3fe9b3e047f38741,     //   0.5957,  0.80321
+    0x3fe2bedb25faf3ea,     0x3fe9ef43ef29af94,     //   0.5858,  0.81046
+    0x3fe26d054cdd12df,     0x3fea29a7a0462782,     //  0.57581,  0.81758
+    0x3fe21a799933eb58,     0x3fea63091b02fae2,     //  0.56573,  0.82459
+    0x3fe1c73b39ae68c8,     0x3fea9b66290ea1a3,     //  0.55557,  0.83147
+    0x3fe1734d63dedb49,     0x3fead2bc9e21d511,     //  0.54532,  0.83822
+    0x3fe11eb3541b4b22,     0x3feb090a58150200,     //    0.535,  0.84485
+    0x3fe0c9704d5d898f,     0x3feb3e4d3ef55712,     //  0.52459,  0.85136
+    0x3fe073879922ffed,     0x3feb728345196e3e,     //   0.5141,  0.85773
+    0x3fe01cfc874c3eb7,     0x3feba5aa673590d2,     //  0.50354,  0.86397
+    0x3fdf8ba4dbf89aba,     0x3febd7c0ac6f952a,     //   0.4929,  0.87009
+    0x3fdedc1952ef78d5,     0x3fec08c426725549,     //  0.48218,  0.87607
+    0x3fde2b5d3806f63b,     0x3fec38b2f180bdb1,     //   0.4714,  0.88192
+    0x3fdd79775b86e389,     0x3fec678b3488739b,     //  0.46054,  0.88764
+    0x3fdcc66e9931c45d,     0x3fec954b213411f5,     //  0.44961,  0.89322
+    0x3fdc1249d8011ee7,     0x3fecc1f0f3fcfc5c,     //  0.43862,  0.89867
+    0x3fdb5d1009e15cc0,     0x3feced7af43cc773,     //  0.42756,  0.90399
+    0x3fdaa6c82b6d3fc9,     0x3fed17e7743e35dc,     //  0.41643,  0.90917
+    0x3fd9ef7943a8ed8a,     0x3fed4134d14dc93a,     //  0.40524,  0.91421
+    0x3fd9372a63bc93d7,     0x3fed696173c9e68b,     //  0.39399,  0.91911
+    0x3fd87de2a6aea963,     0x3fed906bcf328d46,     //  0.38268,  0.92388
+    0x3fd7c3a9311dcce7,     0x3fedb6526238a09b,     //  0.37132,  0.92851
+    0x3fd7088530fa459e,     0x3feddb13b6ccc23d,     //   0.3599,  0.93299
+    0x3fd64c7ddd3f27c6,     0x3fedfeae622dbe2b,     //  0.34842,  0.93734
+    0x3fd58f9a75ab1fdd,     0x3fee212104f686e5,     //  0.33689,  0.94154
+    0x3fd4d1e24278e76a,     0x3fee426a4b2bc17e,     //  0.32531,  0.94561
+    0x3fd4135c94176602,     0x3fee6288ec48e112,     //  0.31368,  0.94953
+    0x3fd35410c2e18152,     0x3fee817bab4cd10d,     //  0.30201,  0.95331
+    0x3fd294062ed59f05,     0x3fee9f4156c62dda,     //  0.29028,  0.95694
+    0x3fd1d3443f4cdb3d,     0x3feebbd8c8df0b74,     //  0.27852,  0.96043
+    0x3fd111d262b1f677,     0x3feed740e7684963,     //  0.26671,  0.96378
+    0x3fd04fb80e37fdae,     0x3feef178a3e473c2,     //  0.25487,  0.96698
+    0x3fcf19f97b215f1a,     0x3fef0a7efb9230d7,     //  0.24298,  0.97003
+    0x3fcd934fe5454311,     0x3fef2252f7763ada,     //  0.23106,  0.97294
+    0x3fcc0b826a7e4f63,     0x3fef38f3ac64e589,     //   0.2191,   0.9757
+    0x3fca82a025b00451,     0x3fef4e603b0b2f2d,     //  0.20711,  0.97832
+    0x3fc8f8b83c69a60a,     0x3fef6297cff75cb0,     //  0.19509,  0.98079
+    0x3fc76dd9de50bf31,     0x3fef7599a3a12077,     //  0.18304,  0.98311
+    0x3fc5e214448b3fc6,     0x3fef8764fa714ba9,     //  0.17096,  0.98528
+    0x3fc45576b1293e5a,     0x3fef97f924c9099b,     //  0.15886,   0.9873
+    0x3fc2c8106e8e613a,     0x3fefa7557f08a517,     //  0.14673,  0.98918
+    0x3fc139f0cedaf576,     0x3fefb5797195d741,     //  0.13458,   0.9909
+    0x3fbf564e56a9730e,     0x3fefc26470e19fd3,     //  0.12241,  0.99248
+    0x3fbc3785c79ec2d5,     0x3fefce15fd6da67b,     //  0.11022,  0.99391
+    0x3fb917a6bc29b42c,     0x3fefd88da3d12526,     // 0.098017,  0.99518
+    0x3fb5f6d00a9aa419,     0x3fefe1cafcbd5b09,     // 0.085797,  0.99631
+    0x3fb2d52092ce19f6,     0x3fefe9cdad01883a,     // 0.073565,  0.99729
+    0x3faf656e79f820e0,     0x3feff095658e71ad,     // 0.061321,  0.99812
+    0x3fa91f65f10dd814,     0x3feff621e3796d7e,     // 0.049068,   0.9988
+    0x3fa2d865759455cd,     0x3feffa72effef75d,     // 0.036807,  0.99932
+    0x3f992155f7a3667e,     0x3feffd886084cd0d,     // 0.024541,   0.9997
+    0x3f8921d1fcdec784,     0x3fefff62169b92db,     // 0.012272,  0.99992
+    0x0000000000000000,     0x3ff0000000000000,     //        0,        1
+    0xbf8921d1fcdec784,     0x3fefff62169b92db,     //-0.012272,  0.99992
+    0xbf992155f7a3667e,     0x3feffd886084cd0d,     //-0.024541,   0.9997
+    0xbfa2d865759455cd,     0x3feffa72effef75d,     //-0.036807,  0.99932
+    0xbfa91f65f10dd814,     0x3feff621e3796d7e,     //-0.049068,   0.9988
+    0xbfaf656e79f820e0,     0x3feff095658e71ad,     //-0.061321,  0.99812
+    0xbfb2d52092ce19f6,     0x3fefe9cdad01883a,     //-0.073565,  0.99729
+    0xbfb5f6d00a9aa419,     0x3fefe1cafcbd5b09,     //-0.085797,  0.99631
+    0xbfb917a6bc29b42c,     0x3fefd88da3d12526,     //-0.098017,  0.99518
+    0xbfbc3785c79ec2d5,     0x3fefce15fd6da67b,     // -0.11022,  0.99391
+    0xbfbf564e56a9730e,     0x3fefc26470e19fd3,     // -0.12241,  0.99248
+    0xbfc139f0cedaf576,     0x3fefb5797195d741,     // -0.13458,   0.9909
+    0xbfc2c8106e8e613a,     0x3fefa7557f08a517,     // -0.14673,  0.98918
+    0xbfc45576b1293e5a,     0x3fef97f924c9099b,     // -0.15886,   0.9873
+    0xbfc5e214448b3fc6,     0x3fef8764fa714ba9,     // -0.17096,  0.98528
+    0xbfc76dd9de50bf31,     0x3fef7599a3a12077,     // -0.18304,  0.98311
+    0xbfc8f8b83c69a60a,     0x3fef6297cff75cb0,     // -0.19509,  0.98079
+    0xbfca82a025b00451,     0x3fef4e603b0b2f2d,     // -0.20711,  0.97832
+    0xbfcc0b826a7e4f63,     0x3fef38f3ac64e589,     //  -0.2191,   0.9757
+    0xbfcd934fe5454311,     0x3fef2252f7763ada,     // -0.23106,  0.97294
+    0xbfcf19f97b215f1a,     0x3fef0a7efb9230d7,     // -0.24298,  0.97003
+    0xbfd04fb80e37fdae,     0x3feef178a3e473c2,     // -0.25487,  0.96698
+    0xbfd111d262b1f677,     0x3feed740e7684963,     // -0.26671,  0.96378
+    0xbfd1d3443f4cdb3d,     0x3feebbd8c8df0b74,     // -0.27852,  0.96043
+    0xbfd294062ed59f05,     0x3fee9f4156c62dda,     // -0.29028,  0.95694
+    0xbfd35410c2e18152,     0x3fee817bab4cd10d,     // -0.30201,  0.95331
+    0xbfd4135c94176602,     0x3fee6288ec48e112,     // -0.31368,  0.94953
+    0xbfd4d1e24278e76a,     0x3fee426a4b2bc17e,     // -0.32531,  0.94561
+    0xbfd58f9a75ab1fdd,     0x3fee212104f686e5,     // -0.33689,  0.94154
+    0xbfd64c7ddd3f27c6,     0x3fedfeae622dbe2b,     // -0.34842,  0.93734
+    0xbfd7088530fa459e,     0x3feddb13b6ccc23d,     //  -0.3599,  0.93299
+    0xbfd7c3a9311dcce7,     0x3fedb6526238a09b,     // -0.37132,  0.92851
+    0xbfd87de2a6aea963,     0x3fed906bcf328d46,     // -0.38268,  0.92388
+    0xbfd9372a63bc93d7,     0x3fed696173c9e68b,     // -0.39399,  0.91911
+    0xbfd9ef7943a8ed8a,     0x3fed4134d14dc93a,     // -0.40524,  0.91421
+    0xbfdaa6c82b6d3fc9,     0x3fed17e7743e35dc,     // -0.41643,  0.90917
+    0xbfdb5d1009e15cc0,     0x3feced7af43cc773,     // -0.42756,  0.90399
+    0xbfdc1249d8011ee7,     0x3fecc1f0f3fcfc5c,     // -0.43862,  0.89867
+    0xbfdcc66e9931c45d,     0x3fec954b213411f5,     // -0.44961,  0.89322
+    0xbfdd79775b86e389,     0x3fec678b3488739b,     // -0.46054,  0.88764
+    0xbfde2b5d3806f63b,     0x3fec38b2f180bdb1,     //  -0.4714,  0.88192
+    0xbfdedc1952ef78d5,     0x3fec08c426725549,     // -0.48218,  0.87607
+    0xbfdf8ba4dbf89aba,     0x3febd7c0ac6f952a,     //  -0.4929,  0.87009
+    0xbfe01cfc874c3eb7,     0x3feba5aa673590d2,     // -0.50354,  0.86397
+    0xbfe073879922ffed,     0x3feb728345196e3e,     //  -0.5141,  0.85773
+    0xbfe0c9704d5d898f,     0x3feb3e4d3ef55712,     // -0.52459,  0.85136
+    0xbfe11eb3541b4b22,     0x3feb090a58150200,     //   -0.535,  0.84485
+    0xbfe1734d63dedb49,     0x3fead2bc9e21d511,     // -0.54532,  0.83822
+    0xbfe1c73b39ae68c8,     0x3fea9b66290ea1a3,     // -0.55557,  0.83147
+    0xbfe21a799933eb58,     0x3fea63091b02fae2,     // -0.56573,  0.82459
+    0xbfe26d054cdd12df,     0x3fea29a7a0462782,     // -0.57581,  0.81758
+    0xbfe2bedb25faf3ea,     0x3fe9ef43ef29af94,     //  -0.5858,  0.81046
+    0xbfe30ff7fce17035,     0x3fe9b3e047f38741,     //  -0.5957,  0.80321
+    0xbfe36058b10659f3,     0x3fe9777ef4c7d742,     // -0.60551,  0.79584
+    0xbfe3affa292050b9,     0x3fe93a22499263fc,     // -0.61523,  0.78835
+    0xbfe3fed9534556d4,     0x3fe8fbcca3ef940d,     // -0.62486,  0.78074
+    0xbfe44cf325091dd6,     0x3fe8bc806b151741,     // -0.63439,  0.77301
+    0xbfe49a449b9b0938,     0x3fe87c400fba2ebf,     // -0.64383,  0.76517
+    0xbfe4e6cabbe3e5e9,     0x3fe83b0e0bff976e,     // -0.65317,  0.75721
+    0xbfe5328292a35596,     0x3fe7f8ece3571771,     // -0.66242,  0.74914
+    0xbfe57d69348cec9f,     0x3fe7b5df226aafb0,     // -0.67156,  0.74095
+    0xbfe5c77bbe65018c,     0x3fe771e75f037261,     //  -0.6806,  0.73265
+    0xbfe610b7551d2cde,     0x3fe72d0837efff97,     // -0.68954,  0.72425
+    0xbfe6591925f0783e,     0x3fe6e74454eaa8ae,     // -0.69838,  0.71573
+    0xbfe6a09e667f3bcc,     0x3fe6a09e667f3bcc,     // -0.70711,  0.70711
+    0xbfe6e74454eaa8ae,     0x3fe6591925f0783e,     // -0.71573,  0.69838
+    0xbfe72d0837efff97,     0x3fe610b7551d2cde,     // -0.72425,  0.68954
+    0xbfe771e75f037261,     0x3fe5c77bbe65018c,     // -0.73265,   0.6806
+    0xbfe7b5df226aafb0,     0x3fe57d69348cec9f,     // -0.74095,  0.67156
+    0xbfe7f8ece3571771,     0x3fe5328292a35596,     // -0.74914,  0.66242
+    0xbfe83b0e0bff976e,     0x3fe4e6cabbe3e5e9,     // -0.75721,  0.65317
+    0xbfe87c400fba2ebf,     0x3fe49a449b9b0938,     // -0.76517,  0.64383
+    0xbfe8bc806b151741,     0x3fe44cf325091dd6,     // -0.77301,  0.63439
+    0xbfe8fbcca3ef940d,     0x3fe3fed9534556d4,     // -0.78074,  0.62486
+    0xbfe93a22499263fc,     0x3fe3affa292050b9,     // -0.78835,  0.61523
+    0xbfe9777ef4c7d742,     0x3fe36058b10659f3,     // -0.79584,  0.60551
+    0xbfe9b3e047f38741,     0x3fe30ff7fce17035,     // -0.80321,   0.5957
+    0xbfe9ef43ef29af94,     0x3fe2bedb25faf3ea,     // -0.81046,   0.5858
+    0xbfea29a7a0462782,     0x3fe26d054cdd12df,     // -0.81758,  0.57581
+    0xbfea63091b02fae2,     0x3fe21a799933eb58,     // -0.82459,  0.56573
+    0xbfea9b66290ea1a3,     0x3fe1c73b39ae68c8,     // -0.83147,  0.55557
+    0xbfead2bc9e21d511,     0x3fe1734d63dedb49,     // -0.83822,  0.54532
+    0xbfeb090a58150200,     0x3fe11eb3541b4b22,     // -0.84485,    0.535
+    0xbfeb3e4d3ef55712,     0x3fe0c9704d5d898f,     // -0.85136,  0.52459
+    0xbfeb728345196e3e,     0x3fe073879922ffed,     // -0.85773,   0.5141
+    0xbfeba5aa673590d2,     0x3fe01cfc874c3eb7,     // -0.86397,  0.50354
+    0xbfebd7c0ac6f952a,     0x3fdf8ba4dbf89aba,     // -0.87009,   0.4929
+    0xbfec08c426725549,     0x3fdedc1952ef78d5,     // -0.87607,  0.48218
+    0xbfec38b2f180bdb1,     0x3fde2b5d3806f63b,     // -0.88192,   0.4714
+    0xbfec678b3488739b,     0x3fdd79775b86e389,     // -0.88764,  0.46054
+    0xbfec954b213411f5,     0x3fdcc66e9931c45d,     // -0.89322,  0.44961
+    0xbfecc1f0f3fcfc5c,     0x3fdc1249d8011ee7,     // -0.89867,  0.43862
+    0xbfeced7af43cc773,     0x3fdb5d1009e15cc0,     // -0.90399,  0.42756
+    0xbfed17e7743e35dc,     0x3fdaa6c82b6d3fc9,     // -0.90917,  0.41643
+    0xbfed4134d14dc93a,     0x3fd9ef7943a8ed8a,     // -0.91421,  0.40524
+    0xbfed696173c9e68b,     0x3fd9372a63bc93d7,     // -0.91911,  0.39399
+    0xbfed906bcf328d46,     0x3fd87de2a6aea963,     // -0.92388,  0.38268
+    0xbfedb6526238a09b,     0x3fd7c3a9311dcce7,     // -0.92851,  0.37132
+    0xbfeddb13b6ccc23d,     0x3fd7088530fa459e,     // -0.93299,   0.3599
+    0xbfedfeae622dbe2b,     0x3fd64c7ddd3f27c6,     // -0.93734,  0.34842
+    0xbfee212104f686e5,     0x3fd58f9a75ab1fdd,     // -0.94154,  0.33689
+    0xbfee426a4b2bc17e,     0x3fd4d1e24278e76a,     // -0.94561,  0.32531
+    0xbfee6288ec48e112,     0x3fd4135c94176602,     // -0.94953,  0.31368
+    0xbfee817bab4cd10d,     0x3fd35410c2e18152,     // -0.95331,  0.30201
+    0xbfee9f4156c62dda,     0x3fd294062ed59f05,     // -0.95694,  0.29028
+    0xbfeebbd8c8df0b74,     0x3fd1d3443f4cdb3d,     // -0.96043,  0.27852
+    0xbfeed740e7684963,     0x3fd111d262b1f677,     // -0.96378,  0.26671
+    0xbfeef178a3e473c2,     0x3fd04fb80e37fdae,     // -0.96698,  0.25487
+    0xbfef0a7efb9230d7,     0x3fcf19f97b215f1a,     // -0.97003,  0.24298
+    0xbfef2252f7763ada,     0x3fcd934fe5454311,     // -0.97294,  0.23106
+    0xbfef38f3ac64e589,     0x3fcc0b826a7e4f63,     //  -0.9757,   0.2191
+    0xbfef4e603b0b2f2d,     0x3fca82a025b00451,     // -0.97832,  0.20711
+    0xbfef6297cff75cb0,     0x3fc8f8b83c69a60a,     // -0.98079,  0.19509
+    0xbfef7599a3a12077,     0x3fc76dd9de50bf31,     // -0.98311,  0.18304
+    0xbfef8764fa714ba9,     0x3fc5e214448b3fc6,     // -0.98528,  0.17096
+    0xbfef97f924c9099b,     0x3fc45576b1293e5a,     //  -0.9873,  0.15886
+    0xbfefa7557f08a517,     0x3fc2c8106e8e613a,     // -0.98918,  0.14673
+    0xbfefb5797195d741,     0x3fc139f0cedaf576,     //  -0.9909,  0.13458
+    0xbfefc26470e19fd3,     0x3fbf564e56a9730e,     // -0.99248,  0.12241
+    0xbfefce15fd6da67b,     0x3fbc3785c79ec2d5,     // -0.99391,  0.11022
+    0xbfefd88da3d12526,     0x3fb917a6bc29b42c,     // -0.99518, 0.098017
+    0xbfefe1cafcbd5b09,     0x3fb5f6d00a9aa419,     // -0.99631, 0.085797
+    0xbfefe9cdad01883a,     0x3fb2d52092ce19f6,     // -0.99729, 0.073565
+    0xbfeff095658e71ad,     0x3faf656e79f820e0,     // -0.99812, 0.061321
+    0xbfeff621e3796d7e,     0x3fa91f65f10dd814,     //  -0.9988, 0.049068
+    0xbfeffa72effef75d,     0x3fa2d865759455cd,     // -0.99932, 0.036807
+    0xbfeffd886084cd0d,     0x3f992155f7a3667e,     //  -0.9997, 0.024541
+    0xbfefff62169b92db,     0x3f8921d1fcdec784,     // -0.99992, 0.012272
+    0xbff0000000000000,     0x0000000000000000,     //       -1,        0
+    0xbfefff62169b92db,     0xbf8921d1fcdec784,     // -0.99992,-0.012272
+    0xbfeffd886084cd0d,     0xbf992155f7a3667e,     //  -0.9997,-0.024541
+    0xbfeffa72effef75d,     0xbfa2d865759455cd,     // -0.99932,-0.036807
+    0xbfeff621e3796d7e,     0xbfa91f65f10dd814,     //  -0.9988,-0.049068
+    0xbfeff095658e71ad,     0xbfaf656e79f820e0,     // -0.99812,-0.061321
+    0xbfefe9cdad01883a,     0xbfb2d52092ce19f6,     // -0.99729,-0.073565
+    0xbfefe1cafcbd5b09,     0xbfb5f6d00a9aa419,     // -0.99631,-0.085797
+    0xbfefd88da3d12526,     0xbfb917a6bc29b42c,     // -0.99518,-0.098017
+    0xbfefce15fd6da67b,     0xbfbc3785c79ec2d5,     // -0.99391, -0.11022
+    0xbfefc26470e19fd3,     0xbfbf564e56a9730e,     // -0.99248, -0.12241
+    0xbfefb5797195d741,     0xbfc139f0cedaf576,     //  -0.9909, -0.13458
+    0xbfefa7557f08a517,     0xbfc2c8106e8e613a,     // -0.98918, -0.14673
+    0xbfef97f924c9099b,     0xbfc45576b1293e5a,     //  -0.9873, -0.15886
+    0xbfef8764fa714ba9,     0xbfc5e214448b3fc6,     // -0.98528, -0.17096
+    0xbfef7599a3a12077,     0xbfc76dd9de50bf31,     // -0.98311, -0.18304
+    0xbfef6297cff75cb0,     0xbfc8f8b83c69a60a,     // -0.98079, -0.19509
+    0xbfef4e603b0b2f2d,     0xbfca82a025b00451,     // -0.97832, -0.20711
+    0xbfef38f3ac64e589,     0xbfcc0b826a7e4f63,     //  -0.9757,  -0.2191
+    0xbfef2252f7763ada,     0xbfcd934fe5454311,     // -0.97294, -0.23106
+    0xbfef0a7efb9230d7,     0xbfcf19f97b215f1a,     // -0.97003, -0.24298
+    0xbfeef178a3e473c2,     0xbfd04fb80e37fdae,     // -0.96698, -0.25487
+    0xbfeed740e7684963,     0xbfd111d262b1f677,     // -0.96378, -0.26671
+    0xbfeebbd8c8df0b74,     0xbfd1d3443f4cdb3d,     // -0.96043, -0.27852
+    0xbfee9f4156c62dda,     0xbfd294062ed59f05,     // -0.95694, -0.29028
+    0xbfee817bab4cd10d,     0xbfd35410c2e18152,     // -0.95331, -0.30201
+    0xbfee6288ec48e112,     0xbfd4135c94176602,     // -0.94953, -0.31368
+    0xbfee426a4b2bc17e,     0xbfd4d1e24278e76a,     // -0.94561, -0.32531
+    0xbfee212104f686e5,     0xbfd58f9a75ab1fdd,     // -0.94154, -0.33689
+    0xbfedfeae622dbe2b,     0xbfd64c7ddd3f27c6,     // -0.93734, -0.34842
+    0xbfeddb13b6ccc23d,     0xbfd7088530fa459e,     // -0.93299,  -0.3599
+    0xbfedb6526238a09b,     0xbfd7c3a9311dcce7,     // -0.92851, -0.37132
+    0xbfed906bcf328d46,     0xbfd87de2a6aea963,     // -0.92388, -0.38268
+    0xbfed696173c9e68b,     0xbfd9372a63bc93d7,     // -0.91911, -0.39399
+    0xbfed4134d14dc93a,     0xbfd9ef7943a8ed8a,     // -0.91421, -0.40524
+    0xbfed17e7743e35dc,     0xbfdaa6c82b6d3fc9,     // -0.90917, -0.41643
+    0xbfeced7af43cc773,     0xbfdb5d1009e15cc0,     // -0.90399, -0.42756
+    0xbfecc1f0f3fcfc5c,     0xbfdc1249d8011ee7,     // -0.89867, -0.43862
+    0xbfec954b213411f5,     0xbfdcc66e9931c45d,     // -0.89322, -0.44961
+    0xbfec678b3488739b,     0xbfdd79775b86e389,     // -0.88764, -0.46054
+    0xbfec38b2f180bdb1,     0xbfde2b5d3806f63b,     // -0.88192,  -0.4714
+    0xbfec08c426725549,     0xbfdedc1952ef78d5,     // -0.87607, -0.48218
+    0xbfebd7c0ac6f952a,     0xbfdf8ba4dbf89aba,     // -0.87009,  -0.4929
+    0xbfeba5aa673590d2,     0xbfe01cfc874c3eb7,     // -0.86397, -0.50354
+    0xbfeb728345196e3e,     0xbfe073879922ffed,     // -0.85773,  -0.5141
+    0xbfeb3e4d3ef55712,     0xbfe0c9704d5d898f,     // -0.85136, -0.52459
+    0xbfeb090a58150200,     0xbfe11eb3541b4b22,     // -0.84485,   -0.535
+    0xbfead2bc9e21d511,     0xbfe1734d63dedb49,     // -0.83822, -0.54532
+    0xbfea9b66290ea1a3,     0xbfe1c73b39ae68c8,     // -0.83147, -0.55557
+    0xbfea63091b02fae2,     0xbfe21a799933eb58,     // -0.82459, -0.56573
+    0xbfea29a7a0462782,     0xbfe26d054cdd12df,     // -0.81758, -0.57581
+    0xbfe9ef43ef29af94,     0xbfe2bedb25faf3ea,     // -0.81046,  -0.5858
+    0xbfe9b3e047f38741,     0xbfe30ff7fce17035,     // -0.80321,  -0.5957
+    0xbfe9777ef4c7d742,     0xbfe36058b10659f3,     // -0.79584, -0.60551
+    0xbfe93a22499263fc,     0xbfe3affa292050b9,     // -0.78835, -0.61523
+    0xbfe8fbcca3ef940d,     0xbfe3fed9534556d4,     // -0.78074, -0.62486
+    0xbfe8bc806b151741,     0xbfe44cf325091dd6,     // -0.77301, -0.63439
+    0xbfe87c400fba2ebf,     0xbfe49a449b9b0938,     // -0.76517, -0.64383
+    0xbfe83b0e0bff976e,     0xbfe4e6cabbe3e5e9,     // -0.75721, -0.65317
+    0xbfe7f8ece3571771,     0xbfe5328292a35596,     // -0.74914, -0.66242
+    0xbfe7b5df226aafb0,     0xbfe57d69348cec9f,     // -0.74095, -0.67156
+    0xbfe771e75f037261,     0xbfe5c77bbe65018c,     // -0.73265,  -0.6806
+    0xbfe72d0837efff97,     0xbfe610b7551d2cde,     // -0.72425, -0.68954
+    0xbfe6e74454eaa8ae,     0xbfe6591925f0783e,     // -0.71573, -0.69838
+    0xbfe6a09e667f3bcc,     0xbfe6a09e667f3bcc,     // -0.70711, -0.70711
+    0xbfe6591925f0783e,     0xbfe6e74454eaa8ae,     // -0.69838, -0.71573
+    0xbfe610b7551d2cde,     0xbfe72d0837efff97,     // -0.68954, -0.72425
+    0xbfe5c77bbe65018c,     0xbfe771e75f037261,     //  -0.6806, -0.73265
+    0xbfe57d69348cec9f,     0xbfe7b5df226aafb0,     // -0.67156, -0.74095
+    0xbfe5328292a35596,     0xbfe7f8ece3571771,     // -0.66242, -0.74914
+    0xbfe4e6cabbe3e5e9,     0xbfe83b0e0bff976e,     // -0.65317, -0.75721
+    0xbfe49a449b9b0938,     0xbfe87c400fba2ebf,     // -0.64383, -0.76517
+    0xbfe44cf325091dd6,     0xbfe8bc806b151741,     // -0.63439, -0.77301
+    0xbfe3fed9534556d4,     0xbfe8fbcca3ef940d,     // -0.62486, -0.78074
+    0xbfe3affa292050b9,     0xbfe93a22499263fc,     // -0.61523, -0.78835
+    0xbfe36058b10659f3,     0xbfe9777ef4c7d742,     // -0.60551, -0.79584
+    0xbfe30ff7fce17035,     0xbfe9b3e047f38741,     //  -0.5957, -0.80321
+    0xbfe2bedb25faf3ea,     0xbfe9ef43ef29af94,     //  -0.5858, -0.81046
+    0xbfe26d054cdd12df,     0xbfea29a7a0462782,     // -0.57581, -0.81758
+    0xbfe21a799933eb58,     0xbfea63091b02fae2,     // -0.56573, -0.82459
+    0xbfe1c73b39ae68c8,     0xbfea9b66290ea1a3,     // -0.55557, -0.83147
+    0xbfe1734d63dedb49,     0xbfead2bc9e21d511,     // -0.54532, -0.83822
+    0xbfe11eb3541b4b22,     0xbfeb090a58150200,     //   -0.535, -0.84485
+    0xbfe0c9704d5d898f,     0xbfeb3e4d3ef55712,     // -0.52459, -0.85136
+    0xbfe073879922ffed,     0xbfeb728345196e3e,     //  -0.5141, -0.85773
+    0xbfe01cfc874c3eb7,     0xbfeba5aa673590d2,     // -0.50354, -0.86397
+    0xbfdf8ba4dbf89aba,     0xbfebd7c0ac6f952a,     //  -0.4929, -0.87009
+    0xbfdedc1952ef78d5,     0xbfec08c426725549,     // -0.48218, -0.87607
+    0xbfde2b5d3806f63b,     0xbfec38b2f180bdb1,     //  -0.4714, -0.88192
+    0xbfdd79775b86e389,     0xbfec678b3488739b,     // -0.46054, -0.88764
+    0xbfdcc66e9931c45d,     0xbfec954b213411f5,     // -0.44961, -0.89322
+    0xbfdc1249d8011ee7,     0xbfecc1f0f3fcfc5c,     // -0.43862, -0.89867
+    0xbfdb5d1009e15cc0,     0xbfeced7af43cc773,     // -0.42756, -0.90399
+    0xbfdaa6c82b6d3fc9,     0xbfed17e7743e35dc,     // -0.41643, -0.90917
+    0xbfd9ef7943a8ed8a,     0xbfed4134d14dc93a,     // -0.40524, -0.91421
+    0xbfd9372a63bc93d7,     0xbfed696173c9e68b,     // -0.39399, -0.91911
+    0xbfd87de2a6aea963,     0xbfed906bcf328d46,     // -0.38268, -0.92388
+    0xbfd7c3a9311dcce7,     0xbfedb6526238a09b,     // -0.37132, -0.92851
+    0xbfd7088530fa459e,     0xbfeddb13b6ccc23d,     //  -0.3599, -0.93299
+    0xbfd64c7ddd3f27c6,     0xbfedfeae622dbe2b,     // -0.34842, -0.93734
+    0xbfd58f9a75ab1fdd,     0xbfee212104f686e5,     // -0.33689, -0.94154
+    0xbfd4d1e24278e76a,     0xbfee426a4b2bc17e,     // -0.32531, -0.94561
+    0xbfd4135c94176602,     0xbfee6288ec48e112,     // -0.31368, -0.94953
+    0xbfd35410c2e18152,     0xbfee817bab4cd10d,     // -0.30201, -0.95331
+    0xbfd294062ed59f05,     0xbfee9f4156c62dda,     // -0.29028, -0.95694
+    0xbfd1d3443f4cdb3d,     0xbfeebbd8c8df0b74,     // -0.27852, -0.96043
+    0xbfd111d262b1f677,     0xbfeed740e7684963,     // -0.26671, -0.96378
+    0xbfd04fb80e37fdae,     0xbfeef178a3e473c2,     // -0.25487, -0.96698
+    0xbfcf19f97b215f1a,     0xbfef0a7efb9230d7,     // -0.24298, -0.97003
+    0xbfcd934fe5454311,     0xbfef2252f7763ada,     // -0.23106, -0.97294
+    0xbfcc0b826a7e4f63,     0xbfef38f3ac64e589,     //  -0.2191,  -0.9757
+    0xbfca82a025b00451,     0xbfef4e603b0b2f2d,     // -0.20711, -0.97832
+    0xbfc8f8b83c69a60a,     0xbfef6297cff75cb0,     // -0.19509, -0.98079
+    0xbfc76dd9de50bf31,     0xbfef7599a3a12077,     // -0.18304, -0.98311
+    0xbfc5e214448b3fc6,     0xbfef8764fa714ba9,     // -0.17096, -0.98528
+    0xbfc45576b1293e5a,     0xbfef97f924c9099b,     // -0.15886,  -0.9873
+    0xbfc2c8106e8e613a,     0xbfefa7557f08a517,     // -0.14673, -0.98918
+    0xbfc139f0cedaf576,     0xbfefb5797195d741,     // -0.13458,  -0.9909
+    0xbfbf564e56a9730e,     0xbfefc26470e19fd3,     // -0.12241, -0.99248
+    0xbfbc3785c79ec2d5,     0xbfefce15fd6da67b,     // -0.11022, -0.99391
+    0xbfb917a6bc29b42c,     0xbfefd88da3d12526,     //-0.098017, -0.99518
+    0xbfb5f6d00a9aa419,     0xbfefe1cafcbd5b09,     //-0.085797, -0.99631
+    0xbfb2d52092ce19f6,     0xbfefe9cdad01883a,     //-0.073565, -0.99729
+    0xbfaf656e79f820e0,     0xbfeff095658e71ad,     //-0.061321, -0.99812
+    0xbfa91f65f10dd814,     0xbfeff621e3796d7e,     //-0.049068,  -0.9988
+    0xbfa2d865759455cd,     0xbfeffa72effef75d,     //-0.036807, -0.99932
+    0xbf992155f7a3667e,     0xbfeffd886084cd0d,     //-0.024541,  -0.9997
+    0xbf8921d1fcdec784,     0xbfefff62169b92db,     //-0.012272, -0.99992
+    0x0000000000000000,     0xbff0000000000000,     //        0,       -1
+    0x3f8921d1fcdec784,     0xbfefff62169b92db,     // 0.012272, -0.99992
+    0x3f992155f7a3667e,     0xbfeffd886084cd0d,     // 0.024541,  -0.9997
+    0x3fa2d865759455cd,     0xbfeffa72effef75d,     // 0.036807, -0.99932
+    0x3fa91f65f10dd814,     0xbfeff621e3796d7e,     // 0.049068,  -0.9988
+    0x3faf656e79f820e0,     0xbfeff095658e71ad,     // 0.061321, -0.99812
+    0x3fb2d52092ce19f6,     0xbfefe9cdad01883a,     // 0.073565, -0.99729
+    0x3fb5f6d00a9aa419,     0xbfefe1cafcbd5b09,     // 0.085797, -0.99631
+    0x3fb917a6bc29b42c,     0xbfefd88da3d12526,     // 0.098017, -0.99518
+    0x3fbc3785c79ec2d5,     0xbfefce15fd6da67b,     //  0.11022, -0.99391
+    0x3fbf564e56a9730e,     0xbfefc26470e19fd3,     //  0.12241, -0.99248
+    0x3fc139f0cedaf576,     0xbfefb5797195d741,     //  0.13458,  -0.9909
+    0x3fc2c8106e8e613a,     0xbfefa7557f08a517,     //  0.14673, -0.98918
+    0x3fc45576b1293e5a,     0xbfef97f924c9099b,     //  0.15886,  -0.9873
+    0x3fc5e214448b3fc6,     0xbfef8764fa714ba9,     //  0.17096, -0.98528
+    0x3fc76dd9de50bf31,     0xbfef7599a3a12077,     //  0.18304, -0.98311
+    0x3fc8f8b83c69a60a,     0xbfef6297cff75cb0,     //  0.19509, -0.98079
+    0x3fca82a025b00451,     0xbfef4e603b0b2f2d,     //  0.20711, -0.97832
+    0x3fcc0b826a7e4f63,     0xbfef38f3ac64e589,     //   0.2191,  -0.9757
+    0x3fcd934fe5454311,     0xbfef2252f7763ada,     //  0.23106, -0.97294
+    0x3fcf19f97b215f1a,     0xbfef0a7efb9230d7,     //  0.24298, -0.97003
+    0x3fd04fb80e37fdae,     0xbfeef178a3e473c2,     //  0.25487, -0.96698
+    0x3fd111d262b1f677,     0xbfeed740e7684963,     //  0.26671, -0.96378
+    0x3fd1d3443f4cdb3d,     0xbfeebbd8c8df0b74,     //  0.27852, -0.96043
+    0x3fd294062ed59f05,     0xbfee9f4156c62dda,     //  0.29028, -0.95694
+    0x3fd35410c2e18152,     0xbfee817bab4cd10d,     //  0.30201, -0.95331
+    0x3fd4135c94176602,     0xbfee6288ec48e112,     //  0.31368, -0.94953
+    0x3fd4d1e24278e76a,     0xbfee426a4b2bc17e,     //  0.32531, -0.94561
+    0x3fd58f9a75ab1fdd,     0xbfee212104f686e5,     //  0.33689, -0.94154
+    0x3fd64c7ddd3f27c6,     0xbfedfeae622dbe2b,     //  0.34842, -0.93734
+    0x3fd7088530fa459e,     0xbfeddb13b6ccc23d,     //   0.3599, -0.93299
+    0x3fd7c3a9311dcce7,     0xbfedb6526238a09b,     //  0.37132, -0.92851
+    0x3fd87de2a6aea963,     0xbfed906bcf328d46,     //  0.38268, -0.92388
+    0x3fd9372a63bc93d7,     0xbfed696173c9e68b,     //  0.39399, -0.91911
+    0x3fd9ef7943a8ed8a,     0xbfed4134d14dc93a,     //  0.40524, -0.91421
+    0x3fdaa6c82b6d3fc9,     0xbfed17e7743e35dc,     //  0.41643, -0.90917
+    0x3fdb5d1009e15cc0,     0xbfeced7af43cc773,     //  0.42756, -0.90399
+    0x3fdc1249d8011ee7,     0xbfecc1f0f3fcfc5c,     //  0.43862, -0.89867
+    0x3fdcc66e9931c45d,     0xbfec954b213411f5,     //  0.44961, -0.89322
+    0x3fdd79775b86e389,     0xbfec678b3488739b,     //  0.46054, -0.88764
+    0x3fde2b5d3806f63b,     0xbfec38b2f180bdb1,     //   0.4714, -0.88192
+    0x3fdedc1952ef78d5,     0xbfec08c426725549,     //  0.48218, -0.87607
+    0x3fdf8ba4dbf89aba,     0xbfebd7c0ac6f952a,     //   0.4929, -0.87009
+    0x3fe01cfc874c3eb7,     0xbfeba5aa673590d2,     //  0.50354, -0.86397
+    0x3fe073879922ffed,     0xbfeb728345196e3e,     //   0.5141, -0.85773
+    0x3fe0c9704d5d898f,     0xbfeb3e4d3ef55712,     //  0.52459, -0.85136
+    0x3fe11eb3541b4b22,     0xbfeb090a58150200,     //    0.535, -0.84485
+    0x3fe1734d63dedb49,     0xbfead2bc9e21d511,     //  0.54532, -0.83822
+    0x3fe1c73b39ae68c8,     0xbfea9b66290ea1a3,     //  0.55557, -0.83147
+    0x3fe21a799933eb58,     0xbfea63091b02fae2,     //  0.56573, -0.82459
+    0x3fe26d054cdd12df,     0xbfea29a7a0462782,     //  0.57581, -0.81758
+    0x3fe2bedb25faf3ea,     0xbfe9ef43ef29af94,     //   0.5858, -0.81046
+    0x3fe30ff7fce17035,     0xbfe9b3e047f38741,     //   0.5957, -0.80321
+    0x3fe36058b10659f3,     0xbfe9777ef4c7d742,     //  0.60551, -0.79584
+    0x3fe3affa292050b9,     0xbfe93a22499263fc,     //  0.61523, -0.78835
+    0x3fe3fed9534556d4,     0xbfe8fbcca3ef940d,     //  0.62486, -0.78074
+    0x3fe44cf325091dd6,     0xbfe8bc806b151741,     //  0.63439, -0.77301
+    0x3fe49a449b9b0938,     0xbfe87c400fba2ebf,     //  0.64383, -0.76517
+    0x3fe4e6cabbe3e5e9,     0xbfe83b0e0bff976e,     //  0.65317, -0.75721
+    0x3fe5328292a35596,     0xbfe7f8ece3571771,     //  0.66242, -0.74914
+    0x3fe57d69348cec9f,     0xbfe7b5df226aafb0,     //  0.67156, -0.74095
+    0x3fe5c77bbe65018c,     0xbfe771e75f037261,     //   0.6806, -0.73265
+    0x3fe610b7551d2cde,     0xbfe72d0837efff97,     //  0.68954, -0.72425
+    0x3fe6591925f0783e,     0xbfe6e74454eaa8ae,     //  0.69838, -0.71573
+    0x3fe6a09e667f3bcc,     0xbfe6a09e667f3bcc,     //  0.70711, -0.70711
+    0x3fe6e74454eaa8ae,     0xbfe6591925f0783e,     //  0.71573, -0.69838
+    0x3fe72d0837efff97,     0xbfe610b7551d2cde,     //  0.72425, -0.68954
+    0x3fe771e75f037261,     0xbfe5c77bbe65018c,     //  0.73265,  -0.6806
+    0x3fe7b5df226aafb0,     0xbfe57d69348cec9f,     //  0.74095, -0.67156
+    0x3fe7f8ece3571771,     0xbfe5328292a35596,     //  0.74914, -0.66242
+    0x3fe83b0e0bff976e,     0xbfe4e6cabbe3e5e9,     //  0.75721, -0.65317
+    0x3fe87c400fba2ebf,     0xbfe49a449b9b0938,     //  0.76517, -0.64383
+    0x3fe8bc806b151741,     0xbfe44cf325091dd6,     //  0.77301, -0.63439
+    0x3fe8fbcca3ef940d,     0xbfe3fed9534556d4,     //  0.78074, -0.62486
+    0x3fe93a22499263fc,     0xbfe3affa292050b9,     //  0.78835, -0.61523
+    0x3fe9777ef4c7d742,     0xbfe36058b10659f3,     //  0.79584, -0.60551
+    0x3fe9b3e047f38741,     0xbfe30ff7fce17035,     //  0.80321,  -0.5957
+    0x3fe9ef43ef29af94,     0xbfe2bedb25faf3ea,     //  0.81046,  -0.5858
+    0x3fea29a7a0462782,     0xbfe26d054cdd12df,     //  0.81758, -0.57581
+    0x3fea63091b02fae2,     0xbfe21a799933eb58,     //  0.82459, -0.56573
+    0x3fea9b66290ea1a3,     0xbfe1c73b39ae68c8,     //  0.83147, -0.55557
+    0x3fead2bc9e21d511,     0xbfe1734d63dedb49,     //  0.83822, -0.54532
+    0x3feb090a58150200,     0xbfe11eb3541b4b22,     //  0.84485,   -0.535
+    0x3feb3e4d3ef55712,     0xbfe0c9704d5d898f,     //  0.85136, -0.52459
+    0x3feb728345196e3e,     0xbfe073879922ffed,     //  0.85773,  -0.5141
+    0x3feba5aa673590d2,     0xbfe01cfc874c3eb7,     //  0.86397, -0.50354
+    0x3febd7c0ac6f952a,     0xbfdf8ba4dbf89aba,     //  0.87009,  -0.4929
+    0x3fec08c426725549,     0xbfdedc1952ef78d5,     //  0.87607, -0.48218
+    0x3fec38b2f180bdb1,     0xbfde2b5d3806f63b,     //  0.88192,  -0.4714
+    0x3fec678b3488739b,     0xbfdd79775b86e389,     //  0.88764, -0.46054
+    0x3fec954b213411f5,     0xbfdcc66e9931c45d,     //  0.89322, -0.44961
+    0x3fecc1f0f3fcfc5c,     0xbfdc1249d8011ee7,     //  0.89867, -0.43862
+    0x3feced7af43cc773,     0xbfdb5d1009e15cc0,     //  0.90399, -0.42756
+    0x3fed17e7743e35dc,     0xbfdaa6c82b6d3fc9,     //  0.90917, -0.41643
+    0x3fed4134d14dc93a,     0xbfd9ef7943a8ed8a,     //  0.91421, -0.40524
+    0x3fed696173c9e68b,     0xbfd9372a63bc93d7,     //  0.91911, -0.39399
+    0x3fed906bcf328d46,     0xbfd87de2a6aea963,     //  0.92388, -0.38268
+    0x3fedb6526238a09b,     0xbfd7c3a9311dcce7,     //  0.92851, -0.37132
+    0x3feddb13b6ccc23d,     0xbfd7088530fa459e,     //  0.93299,  -0.3599
+    0x3fedfeae622dbe2b,     0xbfd64c7ddd3f27c6,     //  0.93734, -0.34842
+    0x3fee212104f686e5,     0xbfd58f9a75ab1fdd,     //  0.94154, -0.33689
+    0x3fee426a4b2bc17e,     0xbfd4d1e24278e76a,     //  0.94561, -0.32531
+    0x3fee6288ec48e112,     0xbfd4135c94176602,     //  0.94953, -0.31368
+    0x3fee817bab4cd10d,     0xbfd35410c2e18152,     //  0.95331, -0.30201
+    0x3fee9f4156c62dda,     0xbfd294062ed59f05,     //  0.95694, -0.29028
+    0x3feebbd8c8df0b74,     0xbfd1d3443f4cdb3d,     //  0.96043, -0.27852
+    0x3feed740e7684963,     0xbfd111d262b1f677,     //  0.96378, -0.26671
+    0x3feef178a3e473c2,     0xbfd04fb80e37fdae,     //  0.96698, -0.25487
+    0x3fef0a7efb9230d7,     0xbfcf19f97b215f1a,     //  0.97003, -0.24298
+    0x3fef2252f7763ada,     0xbfcd934fe5454311,     //  0.97294, -0.23106
+    0x3fef38f3ac64e589,     0xbfcc0b826a7e4f63,     //   0.9757,  -0.2191
+    0x3fef4e603b0b2f2d,     0xbfca82a025b00451,     //  0.97832, -0.20711
+    0x3fef6297cff75cb0,     0xbfc8f8b83c69a60a,     //  0.98079, -0.19509
+    0x3fef7599a3a12077,     0xbfc76dd9de50bf31,     //  0.98311, -0.18304
+    0x3fef8764fa714ba9,     0xbfc5e214448b3fc6,     //  0.98528, -0.17096
+    0x3fef97f924c9099b,     0xbfc45576b1293e5a,     //   0.9873, -0.15886
+    0x3fefa7557f08a517,     0xbfc2c8106e8e613a,     //  0.98918, -0.14673
+    0x3fefb5797195d741,     0xbfc139f0cedaf576,     //   0.9909, -0.13458
+    0x3fefc26470e19fd3,     0xbfbf564e56a9730e,     //  0.99248, -0.12241
+    0x3fefce15fd6da67b,     0xbfbc3785c79ec2d5,     //  0.99391, -0.11022
+    0x3fefd88da3d12526,     0xbfb917a6bc29b42c,     //  0.99518,-0.098017
+    0x3fefe1cafcbd5b09,     0xbfb5f6d00a9aa419,     //  0.99631,-0.085797
+    0x3fefe9cdad01883a,     0xbfb2d52092ce19f6,     //  0.99729,-0.073565
+    0x3feff095658e71ad,     0xbfaf656e79f820e0,     //  0.99812,-0.061321
+    0x3feff621e3796d7e,     0xbfa91f65f10dd814,     //   0.9988,-0.049068
+    0x3feffa72effef75d,     0xbfa2d865759455cd,     //  0.99932,-0.036807
+    0x3feffd886084cd0d,     0xbf992155f7a3667e,     //   0.9997,-0.024541
+    0x3fefff62169b92db,     0xbf8921d1fcdec784,     //  0.99992,-0.012272
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_1024)
+/**
+  @par
+  Example code for Double Precision Floating-point Twiddle factors Generation:
+  @par
+  <pre>for (i = 0; i< N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  } </pre>
+  @par
+  where N = 1024, PI = 3.14159265358979
+  @par
+  Cos and Sin values are in interleaved fashion
+*/
+const uint64_t twiddleCoefF64_1024[2048] = {
+    0x3ff0000000000000,    0x0000000000000000,     //         1,         0
+    0x3fefffd8858e8a92,    0x3f7921f0fe670071,     //   0.99998, 0.0061359
+    0x3fefff62169b92db,    0x3f8921d1fcdec784,     //   0.99992,  0.012272
+    0x3feffe9cb44b51a1,    0x3f92d936bbe30efd,     //   0.99983,  0.018407
+    0x3feffd886084cd0d,    0x3f992155f7a3667e,     //    0.9997,  0.024541
+    0x3feffc251df1d3f8,    0x3f9f693731d1cf01,     //   0.99953,  0.030675
+    0x3feffa72effef75d,    0x3fa2d865759455cd,     //   0.99932,  0.036807
+    0x3feff871dadb81df,    0x3fa5fc00d290cd43,     //   0.99908,  0.042938
+    0x3feff621e3796d7e,    0x3fa91f65f10dd814,     //    0.9988,  0.049068
+    0x3feff3830f8d575c,    0x3fac428d12c0d7e3,     //   0.99848,  0.055195
+    0x3feff095658e71ad,    0x3faf656e79f820e0,     //   0.99812,  0.061321
+    0x3fefed58ecb673c4,    0x3fb1440134d709b2,     //   0.99772,  0.067444
+    0x3fefe9cdad01883a,    0x3fb2d52092ce19f6,     //   0.99729,  0.073565
+    0x3fefe5f3af2e3940,    0x3fb4661179272096,     //   0.99682,  0.079682
+    0x3fefe1cafcbd5b09,    0x3fb5f6d00a9aa419,     //   0.99631,  0.085797
+    0x3fefdd539ff1f456,    0x3fb787586a5d5b21,     //   0.99577,  0.091909
+    0x3fefd88da3d12526,    0x3fb917a6bc29b42c,     //   0.99518,  0.098017
+    0x3fefd37914220b84,    0x3fbaa7b724495c04,     //   0.99456,   0.10412
+    0x3fefce15fd6da67b,    0x3fbc3785c79ec2d5,     //   0.99391,   0.11022
+    0x3fefc8646cfeb721,    0x3fbdc70ecbae9fc8,     //   0.99321,   0.11632
+    0x3fefc26470e19fd3,    0x3fbf564e56a9730e,     //   0.99248,   0.12241
+    0x3fefbc1617e44186,    0x3fc072a047ba831d,     //   0.99171,    0.1285
+    0x3fefb5797195d741,    0x3fc139f0cedaf576,     //    0.9909,   0.13458
+    0x3fefae8e8e46cfbb,    0x3fc20116d4ec7bce,     //   0.99006,   0.14066
+    0x3fefa7557f08a517,    0x3fc2c8106e8e613a,     //   0.98918,   0.14673
+    0x3fef9fce55adb2c8,    0x3fc38edbb0cd8d14,     //   0.98826,    0.1528
+    0x3fef97f924c9099b,    0x3fc45576b1293e5a,     //    0.9873,   0.15886
+    0x3fef8fd5ffae41db,    0x3fc51bdf8597c5f2,     //   0.98631,   0.16491
+    0x3fef8764fa714ba9,    0x3fc5e214448b3fc6,     //   0.98528,   0.17096
+    0x3fef7ea629e63d6e,    0x3fc6a81304f64ab2,     //   0.98421,     0.177
+    0x3fef7599a3a12077,    0x3fc76dd9de50bf31,     //   0.98311,   0.18304
+    0x3fef6c3f7df5bbb7,    0x3fc83366e89c64c5,     //   0.98196,   0.18907
+    0x3fef6297cff75cb0,    0x3fc8f8b83c69a60a,     //   0.98079,   0.19509
+    0x3fef58a2b1789e84,    0x3fc9bdcbf2dc4366,     //   0.97957,    0.2011
+    0x3fef4e603b0b2f2d,    0x3fca82a025b00451,     //   0.97832,   0.20711
+    0x3fef43d085ff92dd,    0x3fcb4732ef3d6722,     //   0.97703,   0.21311
+    0x3fef38f3ac64e589,    0x3fcc0b826a7e4f63,     //    0.9757,    0.2191
+    0x3fef2dc9c9089a9d,    0x3fcccf8cb312b286,     //   0.97434,   0.22508
+    0x3fef2252f7763ada,    0x3fcd934fe5454311,     //   0.97294,   0.23106
+    0x3fef168f53f7205d,    0x3fce56ca1e101a1b,     //    0.9715,   0.23702
+    0x3fef0a7efb9230d7,    0x3fcf19f97b215f1a,     //   0.97003,   0.24298
+    0x3feefe220c0b95ec,    0x3fcfdcdc1adfedf8,     //   0.96852,   0.24893
+    0x3feef178a3e473c2,    0x3fd04fb80e37fdae,     //   0.96698,   0.25487
+    0x3feee482e25a9dbc,    0x3fd0b0d9cfdbdb90,     //   0.96539,   0.26079
+    0x3feed740e7684963,    0x3fd111d262b1f677,     //   0.96378,   0.26671
+    0x3feec9b2d3c3bf84,    0x3fd172a0d7765177,     //   0.96212,   0.27262
+    0x3feebbd8c8df0b74,    0x3fd1d3443f4cdb3d,     //   0.96043,   0.27852
+    0x3feeadb2e8e7a88e,    0x3fd233bbabc3bb72,     //    0.9587,   0.28441
+    0x3fee9f4156c62dda,    0x3fd294062ed59f05,     //   0.95694,   0.29028
+    0x3fee9084361df7f3,    0x3fd2f422daec0386,     //   0.95514,   0.29615
+    0x3fee817bab4cd10d,    0x3fd35410c2e18152,     //   0.95331,   0.30201
+    0x3fee7227db6a9744,    0x3fd3b3cefa0414b7,     //   0.95144,   0.30785
+    0x3fee6288ec48e112,    0x3fd4135c94176602,     //   0.94953,   0.31368
+    0x3fee529f04729ffc,    0x3fd472b8a5571054,     //   0.94759,    0.3195
+    0x3fee426a4b2bc17e,    0x3fd4d1e24278e76a,     //   0.94561,   0.32531
+    0x3fee31eae870ce25,    0x3fd530d880af3c24,     //   0.94359,   0.33111
+    0x3fee212104f686e5,    0x3fd58f9a75ab1fdd,     //   0.94154,   0.33689
+    0x3fee100cca2980ac,    0x3fd5ee27379ea693,     //   0.93946,   0.34266
+    0x3fedfeae622dbe2b,    0x3fd64c7ddd3f27c6,     //   0.93734,   0.34842
+    0x3feded05f7de47da,    0x3fd6aa9d7dc77e16,     //   0.93518,   0.35416
+    0x3feddb13b6ccc23d,    0x3fd7088530fa459e,     //   0.93299,    0.3599
+    0x3fedc8d7cb410260,    0x3fd766340f2418f6,     //   0.93077,   0.36561
+    0x3fedb6526238a09b,    0x3fd7c3a9311dcce7,     //   0.92851,   0.37132
+    0x3feda383a9668988,    0x3fd820e3b04eaac4,     //   0.92621,   0.37701
+    0x3fed906bcf328d46,    0x3fd87de2a6aea963,     //   0.92388,   0.38268
+    0x3fed7d0b02b8ecf9,    0x3fd8daa52ec8a4af,     //   0.92151,   0.38835
+    0x3fed696173c9e68b,    0x3fd9372a63bc93d7,     //   0.91911,   0.39399
+    0x3fed556f52e93eb1,    0x3fd993716141bdfe,     //   0.91668,   0.39962
+    0x3fed4134d14dc93a,    0x3fd9ef7943a8ed8a,     //   0.91421,   0.40524
+    0x3fed2cb220e0ef9f,    0x3fda4b4127dea1e4,     //   0.91171,   0.41084
+    0x3fed17e7743e35dc,    0x3fdaa6c82b6d3fc9,     //   0.90917,   0.41643
+    0x3fed02d4feb2bd92,    0x3fdb020d6c7f4009,     //    0.9066,     0.422
+    0x3feced7af43cc773,    0x3fdb5d1009e15cc0,     //   0.90399,   0.42756
+    0x3fecd7d9898b32f6,    0x3fdbb7cf2304bd01,     //   0.90135,   0.43309
+    0x3fecc1f0f3fcfc5c,    0x3fdc1249d8011ee7,     //   0.89867,   0.43862
+    0x3fecabc169a0b901,    0x3fdc6c7f4997000a,     //   0.89597,   0.44412
+    0x3fec954b213411f5,    0x3fdcc66e9931c45d,     //   0.89322,   0.44961
+    0x3fec7e8e52233cf3,    0x3fdd2016e8e9db5b,     //   0.89045,   0.45508
+    0x3fec678b3488739b,    0x3fdd79775b86e389,     //   0.88764,   0.46054
+    0x3fec5042012b6907,    0x3fddd28f1481cc58,     //    0.8848,   0.46598
+    0x3fec38b2f180bdb1,    0x3fde2b5d3806f63b,     //   0.88192,    0.4714
+    0x3fec20de3fa971b0,    0x3fde83e0eaf85113,     //   0.87901,    0.4768
+    0x3fec08c426725549,    0x3fdedc1952ef78d5,     //   0.87607,   0.48218
+    0x3febf064e15377dd,    0x3fdf3405963fd068,     //   0.87309,   0.48755
+    0x3febd7c0ac6f952a,    0x3fdf8ba4dbf89aba,     //   0.87009,    0.4929
+    0x3febbed7c49380ea,    0x3fdfe2f64be7120f,     //   0.86705,   0.49823
+    0x3feba5aa673590d2,    0x3fe01cfc874c3eb7,     //   0.86397,   0.50354
+    0x3feb8c38d27504e9,    0x3fe0485626ae221a,     //   0.86087,   0.50883
+    0x3feb728345196e3e,    0x3fe073879922ffed,     //   0.85773,    0.5141
+    0x3feb5889fe921405,    0x3fe09e907417c5e1,     //   0.85456,   0.51936
+    0x3feb3e4d3ef55712,    0x3fe0c9704d5d898f,     //   0.85136,   0.52459
+    0x3feb23cd470013b4,    0x3fe0f426bb2a8e7d,     //   0.84812,    0.5298
+    0x3feb090a58150200,    0x3fe11eb3541b4b22,     //   0.84485,     0.535
+    0x3feaee04b43c1474,    0x3fe14915af336ceb,     //   0.84155,   0.54017
+    0x3fead2bc9e21d511,    0x3fe1734d63dedb49,     //   0.83822,   0.54532
+    0x3feab7325916c0d4,    0x3fe19d5a09f2b9b8,     //   0.83486,   0.55046
+    0x3fea9b66290ea1a3,    0x3fe1c73b39ae68c8,     //   0.83147,   0.55557
+    0x3fea7f58529fe69d,    0x3fe1f0f08bbc861b,     //   0.82805,   0.56066
+    0x3fea63091b02fae2,    0x3fe21a799933eb58,     //   0.82459,   0.56573
+    0x3fea4678c8119ac8,    0x3fe243d5fb98ac1f,     //    0.8211,   0.57078
+    0x3fea29a7a0462782,    0x3fe26d054cdd12df,     //   0.81758,   0.57581
+    0x3fea0c95eabaf937,    0x3fe2960727629ca8,     //   0.81404,   0.58081
+    0x3fe9ef43ef29af94,    0x3fe2bedb25faf3ea,     //   0.81046,    0.5858
+    0x3fe9d1b1f5ea80d6,    0x3fe2e780e3e8ea16,     //   0.80685,   0.59076
+    0x3fe9b3e047f38741,    0x3fe30ff7fce17035,     //   0.80321,    0.5957
+    0x3fe995cf2ed80d22,    0x3fe338400d0c8e57,     //   0.79954,   0.60062
+    0x3fe9777ef4c7d742,    0x3fe36058b10659f3,     //   0.79584,   0.60551
+    0x3fe958efe48e6dd7,    0x3fe3884185dfeb22,     //   0.79211,   0.61038
+    0x3fe93a22499263fc,    0x3fe3affa292050b9,     //   0.78835,   0.61523
+    0x3fe91b166fd49da2,    0x3fe3d78238c58343,     //   0.78456,   0.62006
+    0x3fe8fbcca3ef940d,    0x3fe3fed9534556d4,     //   0.78074,   0.62486
+    0x3fe8dc45331698cc,    0x3fe425ff178e6bb1,     //   0.77689,   0.62964
+    0x3fe8bc806b151741,    0x3fe44cf325091dd6,     //   0.77301,   0.63439
+    0x3fe89c7e9a4dd4ab,    0x3fe473b51b987347,     //    0.7691,   0.63912
+    0x3fe87c400fba2ebf,    0x3fe49a449b9b0938,     //   0.76517,   0.64383
+    0x3fe85bc51ae958cc,    0x3fe4c0a145ec0004,     //    0.7612,   0.64851
+    0x3fe83b0e0bff976e,    0x3fe4e6cabbe3e5e9,     //   0.75721,   0.65317
+    0x3fe81a1b33b57acc,    0x3fe50cc09f59a09b,     //   0.75319,   0.65781
+    0x3fe7f8ece3571771,    0x3fe5328292a35596,     //   0.74914,   0.66242
+    0x3fe7d7836cc33db2,    0x3fe5581038975137,     //   0.74506,     0.667
+    0x3fe7b5df226aafb0,    0x3fe57d69348cec9f,     //   0.74095,   0.67156
+    0x3fe79400574f55e4,    0x3fe5a28d2a5d7250,     //   0.73682,   0.67609
+    0x3fe771e75f037261,    0x3fe5c77bbe65018c,     //   0.73265,    0.6806
+    0x3fe74f948da8d28d,    0x3fe5ec3495837074,     //   0.72846,   0.68508
+    0x3fe72d0837efff97,    0x3fe610b7551d2cde,     //   0.72425,   0.68954
+    0x3fe70a42b3176d7a,    0x3fe63503a31c1be8,     //      0.72,   0.69397
+    0x3fe6e74454eaa8ae,    0x3fe6591925f0783e,     //   0.71573,   0.69838
+    0x3fe6c40d73c18275,    0x3fe67cf78491af10,     //   0.71143,   0.70275
+    0x3fe6a09e667f3bcc,    0x3fe6a09e667f3bcc,     //   0.70711,   0.70711
+    0x3fe67cf78491af10,    0x3fe6c40d73c18275,     //   0.70275,   0.71143
+    0x3fe6591925f0783e,    0x3fe6e74454eaa8ae,     //   0.69838,   0.71573
+    0x3fe63503a31c1be8,    0x3fe70a42b3176d7a,     //   0.69397,      0.72
+    0x3fe610b7551d2cde,    0x3fe72d0837efff97,     //   0.68954,   0.72425
+    0x3fe5ec3495837074,    0x3fe74f948da8d28d,     //   0.68508,   0.72846
+    0x3fe5c77bbe65018c,    0x3fe771e75f037261,     //    0.6806,   0.73265
+    0x3fe5a28d2a5d7250,    0x3fe79400574f55e4,     //   0.67609,   0.73682
+    0x3fe57d69348cec9f,    0x3fe7b5df226aafb0,     //   0.67156,   0.74095
+    0x3fe5581038975137,    0x3fe7d7836cc33db2,     //     0.667,   0.74506
+    0x3fe5328292a35596,    0x3fe7f8ece3571771,     //   0.66242,   0.74914
+    0x3fe50cc09f59a09b,    0x3fe81a1b33b57acc,     //   0.65781,   0.75319
+    0x3fe4e6cabbe3e5e9,    0x3fe83b0e0bff976e,     //   0.65317,   0.75721
+    0x3fe4c0a145ec0004,    0x3fe85bc51ae958cc,     //   0.64851,    0.7612
+    0x3fe49a449b9b0938,    0x3fe87c400fba2ebf,     //   0.64383,   0.76517
+    0x3fe473b51b987347,    0x3fe89c7e9a4dd4ab,     //   0.63912,    0.7691
+    0x3fe44cf325091dd6,    0x3fe8bc806b151741,     //   0.63439,   0.77301
+    0x3fe425ff178e6bb1,    0x3fe8dc45331698cc,     //   0.62964,   0.77689
+    0x3fe3fed9534556d4,    0x3fe8fbcca3ef940d,     //   0.62486,   0.78074
+    0x3fe3d78238c58343,    0x3fe91b166fd49da2,     //   0.62006,   0.78456
+    0x3fe3affa292050b9,    0x3fe93a22499263fc,     //   0.61523,   0.78835
+    0x3fe3884185dfeb22,    0x3fe958efe48e6dd7,     //   0.61038,   0.79211
+    0x3fe36058b10659f3,    0x3fe9777ef4c7d742,     //   0.60551,   0.79584
+    0x3fe338400d0c8e57,    0x3fe995cf2ed80d22,     //   0.60062,   0.79954
+    0x3fe30ff7fce17035,    0x3fe9b3e047f38741,     //    0.5957,   0.80321
+    0x3fe2e780e3e8ea16,    0x3fe9d1b1f5ea80d6,     //   0.59076,   0.80685
+    0x3fe2bedb25faf3ea,    0x3fe9ef43ef29af94,     //    0.5858,   0.81046
+    0x3fe2960727629ca8,    0x3fea0c95eabaf937,     //   0.58081,   0.81404
+    0x3fe26d054cdd12df,    0x3fea29a7a0462782,     //   0.57581,   0.81758
+    0x3fe243d5fb98ac1f,    0x3fea4678c8119ac8,     //   0.57078,    0.8211
+    0x3fe21a799933eb58,    0x3fea63091b02fae2,     //   0.56573,   0.82459
+    0x3fe1f0f08bbc861b,    0x3fea7f58529fe69d,     //   0.56066,   0.82805
+    0x3fe1c73b39ae68c8,    0x3fea9b66290ea1a3,     //   0.55557,   0.83147
+    0x3fe19d5a09f2b9b8,    0x3feab7325916c0d4,     //   0.55046,   0.83486
+    0x3fe1734d63dedb49,    0x3fead2bc9e21d511,     //   0.54532,   0.83822
+    0x3fe14915af336ceb,    0x3feaee04b43c1474,     //   0.54017,   0.84155
+    0x3fe11eb3541b4b22,    0x3feb090a58150200,     //     0.535,   0.84485
+    0x3fe0f426bb2a8e7d,    0x3feb23cd470013b4,     //    0.5298,   0.84812
+    0x3fe0c9704d5d898f,    0x3feb3e4d3ef55712,     //   0.52459,   0.85136
+    0x3fe09e907417c5e1,    0x3feb5889fe921405,     //   0.51936,   0.85456
+    0x3fe073879922ffed,    0x3feb728345196e3e,     //    0.5141,   0.85773
+    0x3fe0485626ae221a,    0x3feb8c38d27504e9,     //   0.50883,   0.86087
+    0x3fe01cfc874c3eb7,    0x3feba5aa673590d2,     //   0.50354,   0.86397
+    0x3fdfe2f64be7120f,    0x3febbed7c49380ea,     //   0.49823,   0.86705
+    0x3fdf8ba4dbf89aba,    0x3febd7c0ac6f952a,     //    0.4929,   0.87009
+    0x3fdf3405963fd068,    0x3febf064e15377dd,     //   0.48755,   0.87309
+    0x3fdedc1952ef78d5,    0x3fec08c426725549,     //   0.48218,   0.87607
+    0x3fde83e0eaf85113,    0x3fec20de3fa971b0,     //    0.4768,   0.87901
+    0x3fde2b5d3806f63b,    0x3fec38b2f180bdb1,     //    0.4714,   0.88192
+    0x3fddd28f1481cc58,    0x3fec5042012b6907,     //   0.46598,    0.8848
+    0x3fdd79775b86e389,    0x3fec678b3488739b,     //   0.46054,   0.88764
+    0x3fdd2016e8e9db5b,    0x3fec7e8e52233cf3,     //   0.45508,   0.89045
+    0x3fdcc66e9931c45d,    0x3fec954b213411f5,     //   0.44961,   0.89322
+    0x3fdc6c7f4997000a,    0x3fecabc169a0b901,     //   0.44412,   0.89597
+    0x3fdc1249d8011ee7,    0x3fecc1f0f3fcfc5c,     //   0.43862,   0.89867
+    0x3fdbb7cf2304bd01,    0x3fecd7d9898b32f6,     //   0.43309,   0.90135
+    0x3fdb5d1009e15cc0,    0x3feced7af43cc773,     //   0.42756,   0.90399
+    0x3fdb020d6c7f4009,    0x3fed02d4feb2bd92,     //     0.422,    0.9066
+    0x3fdaa6c82b6d3fc9,    0x3fed17e7743e35dc,     //   0.41643,   0.90917
+    0x3fda4b4127dea1e4,    0x3fed2cb220e0ef9f,     //   0.41084,   0.91171
+    0x3fd9ef7943a8ed8a,    0x3fed4134d14dc93a,     //   0.40524,   0.91421
+    0x3fd993716141bdfe,    0x3fed556f52e93eb1,     //   0.39962,   0.91668
+    0x3fd9372a63bc93d7,    0x3fed696173c9e68b,     //   0.39399,   0.91911
+    0x3fd8daa52ec8a4af,    0x3fed7d0b02b8ecf9,     //   0.38835,   0.92151
+    0x3fd87de2a6aea963,    0x3fed906bcf328d46,     //   0.38268,   0.92388
+    0x3fd820e3b04eaac4,    0x3feda383a9668988,     //   0.37701,   0.92621
+    0x3fd7c3a9311dcce7,    0x3fedb6526238a09b,     //   0.37132,   0.92851
+    0x3fd766340f2418f6,    0x3fedc8d7cb410260,     //   0.36561,   0.93077
+    0x3fd7088530fa459e,    0x3feddb13b6ccc23d,     //    0.3599,   0.93299
+    0x3fd6aa9d7dc77e16,    0x3feded05f7de47da,     //   0.35416,   0.93518
+    0x3fd64c7ddd3f27c6,    0x3fedfeae622dbe2b,     //   0.34842,   0.93734
+    0x3fd5ee27379ea693,    0x3fee100cca2980ac,     //   0.34266,   0.93946
+    0x3fd58f9a75ab1fdd,    0x3fee212104f686e5,     //   0.33689,   0.94154
+    0x3fd530d880af3c24,    0x3fee31eae870ce25,     //   0.33111,   0.94359
+    0x3fd4d1e24278e76a,    0x3fee426a4b2bc17e,     //   0.32531,   0.94561
+    0x3fd472b8a5571054,    0x3fee529f04729ffc,     //    0.3195,   0.94759
+    0x3fd4135c94176602,    0x3fee6288ec48e112,     //   0.31368,   0.94953
+    0x3fd3b3cefa0414b7,    0x3fee7227db6a9744,     //   0.30785,   0.95144
+    0x3fd35410c2e18152,    0x3fee817bab4cd10d,     //   0.30201,   0.95331
+    0x3fd2f422daec0386,    0x3fee9084361df7f3,     //   0.29615,   0.95514
+    0x3fd294062ed59f05,    0x3fee9f4156c62dda,     //   0.29028,   0.95694
+    0x3fd233bbabc3bb72,    0x3feeadb2e8e7a88e,     //   0.28441,    0.9587
+    0x3fd1d3443f4cdb3d,    0x3feebbd8c8df0b74,     //   0.27852,   0.96043
+    0x3fd172a0d7765177,    0x3feec9b2d3c3bf84,     //   0.27262,   0.96212
+    0x3fd111d262b1f677,    0x3feed740e7684963,     //   0.26671,   0.96378
+    0x3fd0b0d9cfdbdb90,    0x3feee482e25a9dbc,     //   0.26079,   0.96539
+    0x3fd04fb80e37fdae,    0x3feef178a3e473c2,     //   0.25487,   0.96698
+    0x3fcfdcdc1adfedf8,    0x3feefe220c0b95ec,     //   0.24893,   0.96852
+    0x3fcf19f97b215f1a,    0x3fef0a7efb9230d7,     //   0.24298,   0.97003
+    0x3fce56ca1e101a1b,    0x3fef168f53f7205d,     //   0.23702,    0.9715
+    0x3fcd934fe5454311,    0x3fef2252f7763ada,     //   0.23106,   0.97294
+    0x3fcccf8cb312b286,    0x3fef2dc9c9089a9d,     //   0.22508,   0.97434
+    0x3fcc0b826a7e4f63,    0x3fef38f3ac64e589,     //    0.2191,    0.9757
+    0x3fcb4732ef3d6722,    0x3fef43d085ff92dd,     //   0.21311,   0.97703
+    0x3fca82a025b00451,    0x3fef4e603b0b2f2d,     //   0.20711,   0.97832
+    0x3fc9bdcbf2dc4366,    0x3fef58a2b1789e84,     //    0.2011,   0.97957
+    0x3fc8f8b83c69a60a,    0x3fef6297cff75cb0,     //   0.19509,   0.98079
+    0x3fc83366e89c64c5,    0x3fef6c3f7df5bbb7,     //   0.18907,   0.98196
+    0x3fc76dd9de50bf31,    0x3fef7599a3a12077,     //   0.18304,   0.98311
+    0x3fc6a81304f64ab2,    0x3fef7ea629e63d6e,     //     0.177,   0.98421
+    0x3fc5e214448b3fc6,    0x3fef8764fa714ba9,     //   0.17096,   0.98528
+    0x3fc51bdf8597c5f2,    0x3fef8fd5ffae41db,     //   0.16491,   0.98631
+    0x3fc45576b1293e5a,    0x3fef97f924c9099b,     //   0.15886,    0.9873
+    0x3fc38edbb0cd8d14,    0x3fef9fce55adb2c8,     //    0.1528,   0.98826
+    0x3fc2c8106e8e613a,    0x3fefa7557f08a517,     //   0.14673,   0.98918
+    0x3fc20116d4ec7bce,    0x3fefae8e8e46cfbb,     //   0.14066,   0.99006
+    0x3fc139f0cedaf576,    0x3fefb5797195d741,     //   0.13458,    0.9909
+    0x3fc072a047ba831d,    0x3fefbc1617e44186,     //    0.1285,   0.99171
+    0x3fbf564e56a9730e,    0x3fefc26470e19fd3,     //   0.12241,   0.99248
+    0x3fbdc70ecbae9fc8,    0x3fefc8646cfeb721,     //   0.11632,   0.99321
+    0x3fbc3785c79ec2d5,    0x3fefce15fd6da67b,     //   0.11022,   0.99391
+    0x3fbaa7b724495c04,    0x3fefd37914220b84,     //   0.10412,   0.99456
+    0x3fb917a6bc29b42c,    0x3fefd88da3d12526,     //  0.098017,   0.99518
+    0x3fb787586a5d5b21,    0x3fefdd539ff1f456,     //  0.091909,   0.99577
+    0x3fb5f6d00a9aa419,    0x3fefe1cafcbd5b09,     //  0.085797,   0.99631
+    0x3fb4661179272096,    0x3fefe5f3af2e3940,     //  0.079682,   0.99682
+    0x3fb2d52092ce19f6,    0x3fefe9cdad01883a,     //  0.073565,   0.99729
+    0x3fb1440134d709b2,    0x3fefed58ecb673c4,     //  0.067444,   0.99772
+    0x3faf656e79f820e0,    0x3feff095658e71ad,     //  0.061321,   0.99812
+    0x3fac428d12c0d7e3,    0x3feff3830f8d575c,     //  0.055195,   0.99848
+    0x3fa91f65f10dd814,    0x3feff621e3796d7e,     //  0.049068,    0.9988
+    0x3fa5fc00d290cd43,    0x3feff871dadb81df,     //  0.042938,   0.99908
+    0x3fa2d865759455cd,    0x3feffa72effef75d,     //  0.036807,   0.99932
+    0x3f9f693731d1cf01,    0x3feffc251df1d3f8,     //  0.030675,   0.99953
+    0x3f992155f7a3667e,    0x3feffd886084cd0d,     //  0.024541,    0.9997
+    0x3f92d936bbe30efd,    0x3feffe9cb44b51a1,     //  0.018407,   0.99983
+    0x3f8921d1fcdec784,    0x3fefff62169b92db,     //  0.012272,   0.99992
+    0x3f7921f0fe670071,    0x3fefffd8858e8a92,     // 0.0061359,   0.99998
+    0x0000000000000000,    0x3ff0000000000000,     //         0,         1
+    0xbf7921f0fe670071,    0x3fefffd8858e8a92,     //-0.0061359,   0.99998
+    0xbf8921d1fcdec784,    0x3fefff62169b92db,     // -0.012272,   0.99992
+    0xbf92d936bbe30efd,    0x3feffe9cb44b51a1,     // -0.018407,   0.99983
+    0xbf992155f7a3667e,    0x3feffd886084cd0d,     // -0.024541,    0.9997
+    0xbf9f693731d1cf01,    0x3feffc251df1d3f8,     // -0.030675,   0.99953
+    0xbfa2d865759455cd,    0x3feffa72effef75d,     // -0.036807,   0.99932
+    0xbfa5fc00d290cd43,    0x3feff871dadb81df,     // -0.042938,   0.99908
+    0xbfa91f65f10dd814,    0x3feff621e3796d7e,     // -0.049068,    0.9988
+    0xbfac428d12c0d7e3,    0x3feff3830f8d575c,     // -0.055195,   0.99848
+    0xbfaf656e79f820e0,    0x3feff095658e71ad,     // -0.061321,   0.99812
+    0xbfb1440134d709b2,    0x3fefed58ecb673c4,     // -0.067444,   0.99772
+    0xbfb2d52092ce19f6,    0x3fefe9cdad01883a,     // -0.073565,   0.99729
+    0xbfb4661179272096,    0x3fefe5f3af2e3940,     // -0.079682,   0.99682
+    0xbfb5f6d00a9aa419,    0x3fefe1cafcbd5b09,     // -0.085797,   0.99631
+    0xbfb787586a5d5b21,    0x3fefdd539ff1f456,     // -0.091909,   0.99577
+    0xbfb917a6bc29b42c,    0x3fefd88da3d12526,     // -0.098017,   0.99518
+    0xbfbaa7b724495c04,    0x3fefd37914220b84,     //  -0.10412,   0.99456
+    0xbfbc3785c79ec2d5,    0x3fefce15fd6da67b,     //  -0.11022,   0.99391
+    0xbfbdc70ecbae9fc8,    0x3fefc8646cfeb721,     //  -0.11632,   0.99321
+    0xbfbf564e56a9730e,    0x3fefc26470e19fd3,     //  -0.12241,   0.99248
+    0xbfc072a047ba831d,    0x3fefbc1617e44186,     //   -0.1285,   0.99171
+    0xbfc139f0cedaf576,    0x3fefb5797195d741,     //  -0.13458,    0.9909
+    0xbfc20116d4ec7bce,    0x3fefae8e8e46cfbb,     //  -0.14066,   0.99006
+    0xbfc2c8106e8e613a,    0x3fefa7557f08a517,     //  -0.14673,   0.98918
+    0xbfc38edbb0cd8d14,    0x3fef9fce55adb2c8,     //   -0.1528,   0.98826
+    0xbfc45576b1293e5a,    0x3fef97f924c9099b,     //  -0.15886,    0.9873
+    0xbfc51bdf8597c5f2,    0x3fef8fd5ffae41db,     //  -0.16491,   0.98631
+    0xbfc5e214448b3fc6,    0x3fef8764fa714ba9,     //  -0.17096,   0.98528
+    0xbfc6a81304f64ab2,    0x3fef7ea629e63d6e,     //    -0.177,   0.98421
+    0xbfc76dd9de50bf31,    0x3fef7599a3a12077,     //  -0.18304,   0.98311
+    0xbfc83366e89c64c5,    0x3fef6c3f7df5bbb7,     //  -0.18907,   0.98196
+    0xbfc8f8b83c69a60a,    0x3fef6297cff75cb0,     //  -0.19509,   0.98079
+    0xbfc9bdcbf2dc4366,    0x3fef58a2b1789e84,     //   -0.2011,   0.97957
+    0xbfca82a025b00451,    0x3fef4e603b0b2f2d,     //  -0.20711,   0.97832
+    0xbfcb4732ef3d6722,    0x3fef43d085ff92dd,     //  -0.21311,   0.97703
+    0xbfcc0b826a7e4f63,    0x3fef38f3ac64e589,     //   -0.2191,    0.9757
+    0xbfcccf8cb312b286,    0x3fef2dc9c9089a9d,     //  -0.22508,   0.97434
+    0xbfcd934fe5454311,    0x3fef2252f7763ada,     //  -0.23106,   0.97294
+    0xbfce56ca1e101a1b,    0x3fef168f53f7205d,     //  -0.23702,    0.9715
+    0xbfcf19f97b215f1a,    0x3fef0a7efb9230d7,     //  -0.24298,   0.97003
+    0xbfcfdcdc1adfedf8,    0x3feefe220c0b95ec,     //  -0.24893,   0.96852
+    0xbfd04fb80e37fdae,    0x3feef178a3e473c2,     //  -0.25487,   0.96698
+    0xbfd0b0d9cfdbdb90,    0x3feee482e25a9dbc,     //  -0.26079,   0.96539
+    0xbfd111d262b1f677,    0x3feed740e7684963,     //  -0.26671,   0.96378
+    0xbfd172a0d7765177,    0x3feec9b2d3c3bf84,     //  -0.27262,   0.96212
+    0xbfd1d3443f4cdb3d,    0x3feebbd8c8df0b74,     //  -0.27852,   0.96043
+    0xbfd233bbabc3bb72,    0x3feeadb2e8e7a88e,     //  -0.28441,    0.9587
+    0xbfd294062ed59f05,    0x3fee9f4156c62dda,     //  -0.29028,   0.95694
+    0xbfd2f422daec0386,    0x3fee9084361df7f3,     //  -0.29615,   0.95514
+    0xbfd35410c2e18152,    0x3fee817bab4cd10d,     //  -0.30201,   0.95331
+    0xbfd3b3cefa0414b7,    0x3fee7227db6a9744,     //  -0.30785,   0.95144
+    0xbfd4135c94176602,    0x3fee6288ec48e112,     //  -0.31368,   0.94953
+    0xbfd472b8a5571054,    0x3fee529f04729ffc,     //   -0.3195,   0.94759
+    0xbfd4d1e24278e76a,    0x3fee426a4b2bc17e,     //  -0.32531,   0.94561
+    0xbfd530d880af3c24,    0x3fee31eae870ce25,     //  -0.33111,   0.94359
+    0xbfd58f9a75ab1fdd,    0x3fee212104f686e5,     //  -0.33689,   0.94154
+    0xbfd5ee27379ea693,    0x3fee100cca2980ac,     //  -0.34266,   0.93946
+    0xbfd64c7ddd3f27c6,    0x3fedfeae622dbe2b,     //  -0.34842,   0.93734
+    0xbfd6aa9d7dc77e16,    0x3feded05f7de47da,     //  -0.35416,   0.93518
+    0xbfd7088530fa459e,    0x3feddb13b6ccc23d,     //   -0.3599,   0.93299
+    0xbfd766340f2418f6,    0x3fedc8d7cb410260,     //  -0.36561,   0.93077
+    0xbfd7c3a9311dcce7,    0x3fedb6526238a09b,     //  -0.37132,   0.92851
+    0xbfd820e3b04eaac4,    0x3feda383a9668988,     //  -0.37701,   0.92621
+    0xbfd87de2a6aea963,    0x3fed906bcf328d46,     //  -0.38268,   0.92388
+    0xbfd8daa52ec8a4af,    0x3fed7d0b02b8ecf9,     //  -0.38835,   0.92151
+    0xbfd9372a63bc93d7,    0x3fed696173c9e68b,     //  -0.39399,   0.91911
+    0xbfd993716141bdfe,    0x3fed556f52e93eb1,     //  -0.39962,   0.91668
+    0xbfd9ef7943a8ed8a,    0x3fed4134d14dc93a,     //  -0.40524,   0.91421
+    0xbfda4b4127dea1e4,    0x3fed2cb220e0ef9f,     //  -0.41084,   0.91171
+    0xbfdaa6c82b6d3fc9,    0x3fed17e7743e35dc,     //  -0.41643,   0.90917
+    0xbfdb020d6c7f4009,    0x3fed02d4feb2bd92,     //    -0.422,    0.9066
+    0xbfdb5d1009e15cc0,    0x3feced7af43cc773,     //  -0.42756,   0.90399
+    0xbfdbb7cf2304bd01,    0x3fecd7d9898b32f6,     //  -0.43309,   0.90135
+    0xbfdc1249d8011ee7,    0x3fecc1f0f3fcfc5c,     //  -0.43862,   0.89867
+    0xbfdc6c7f4997000a,    0x3fecabc169a0b901,     //  -0.44412,   0.89597
+    0xbfdcc66e9931c45d,    0x3fec954b213411f5,     //  -0.44961,   0.89322
+    0xbfdd2016e8e9db5b,    0x3fec7e8e52233cf3,     //  -0.45508,   0.89045
+    0xbfdd79775b86e389,    0x3fec678b3488739b,     //  -0.46054,   0.88764
+    0xbfddd28f1481cc58,    0x3fec5042012b6907,     //  -0.46598,    0.8848
+    0xbfde2b5d3806f63b,    0x3fec38b2f180bdb1,     //   -0.4714,   0.88192
+    0xbfde83e0eaf85113,    0x3fec20de3fa971b0,     //   -0.4768,   0.87901
+    0xbfdedc1952ef78d5,    0x3fec08c426725549,     //  -0.48218,   0.87607
+    0xbfdf3405963fd068,    0x3febf064e15377dd,     //  -0.48755,   0.87309
+    0xbfdf8ba4dbf89aba,    0x3febd7c0ac6f952a,     //   -0.4929,   0.87009
+    0xbfdfe2f64be7120f,    0x3febbed7c49380ea,     //  -0.49823,   0.86705
+    0xbfe01cfc874c3eb7,    0x3feba5aa673590d2,     //  -0.50354,   0.86397
+    0xbfe0485626ae221a,    0x3feb8c38d27504e9,     //  -0.50883,   0.86087
+    0xbfe073879922ffed,    0x3feb728345196e3e,     //   -0.5141,   0.85773
+    0xbfe09e907417c5e1,    0x3feb5889fe921405,     //  -0.51936,   0.85456
+    0xbfe0c9704d5d898f,    0x3feb3e4d3ef55712,     //  -0.52459,   0.85136
+    0xbfe0f426bb2a8e7d,    0x3feb23cd470013b4,     //   -0.5298,   0.84812
+    0xbfe11eb3541b4b22,    0x3feb090a58150200,     //    -0.535,   0.84485
+    0xbfe14915af336ceb,    0x3feaee04b43c1474,     //  -0.54017,   0.84155
+    0xbfe1734d63dedb49,    0x3fead2bc9e21d511,     //  -0.54532,   0.83822
+    0xbfe19d5a09f2b9b8,    0x3feab7325916c0d4,     //  -0.55046,   0.83486
+    0xbfe1c73b39ae68c8,    0x3fea9b66290ea1a3,     //  -0.55557,   0.83147
+    0xbfe1f0f08bbc861b,    0x3fea7f58529fe69d,     //  -0.56066,   0.82805
+    0xbfe21a799933eb58,    0x3fea63091b02fae2,     //  -0.56573,   0.82459
+    0xbfe243d5fb98ac1f,    0x3fea4678c8119ac8,     //  -0.57078,    0.8211
+    0xbfe26d054cdd12df,    0x3fea29a7a0462782,     //  -0.57581,   0.81758
+    0xbfe2960727629ca8,    0x3fea0c95eabaf937,     //  -0.58081,   0.81404
+    0xbfe2bedb25faf3ea,    0x3fe9ef43ef29af94,     //   -0.5858,   0.81046
+    0xbfe2e780e3e8ea16,    0x3fe9d1b1f5ea80d6,     //  -0.59076,   0.80685
+    0xbfe30ff7fce17035,    0x3fe9b3e047f38741,     //   -0.5957,   0.80321
+    0xbfe338400d0c8e57,    0x3fe995cf2ed80d22,     //  -0.60062,   0.79954
+    0xbfe36058b10659f3,    0x3fe9777ef4c7d742,     //  -0.60551,   0.79584
+    0xbfe3884185dfeb22,    0x3fe958efe48e6dd7,     //  -0.61038,   0.79211
+    0xbfe3affa292050b9,    0x3fe93a22499263fc,     //  -0.61523,   0.78835
+    0xbfe3d78238c58343,    0x3fe91b166fd49da2,     //  -0.62006,   0.78456
+    0xbfe3fed9534556d4,    0x3fe8fbcca3ef940d,     //  -0.62486,   0.78074
+    0xbfe425ff178e6bb1,    0x3fe8dc45331698cc,     //  -0.62964,   0.77689
+    0xbfe44cf325091dd6,    0x3fe8bc806b151741,     //  -0.63439,   0.77301
+    0xbfe473b51b987347,    0x3fe89c7e9a4dd4ab,     //  -0.63912,    0.7691
+    0xbfe49a449b9b0938,    0x3fe87c400fba2ebf,     //  -0.64383,   0.76517
+    0xbfe4c0a145ec0004,    0x3fe85bc51ae958cc,     //  -0.64851,    0.7612
+    0xbfe4e6cabbe3e5e9,    0x3fe83b0e0bff976e,     //  -0.65317,   0.75721
+    0xbfe50cc09f59a09b,    0x3fe81a1b33b57acc,     //  -0.65781,   0.75319
+    0xbfe5328292a35596,    0x3fe7f8ece3571771,     //  -0.66242,   0.74914
+    0xbfe5581038975137,    0x3fe7d7836cc33db2,     //    -0.667,   0.74506
+    0xbfe57d69348cec9f,    0x3fe7b5df226aafb0,     //  -0.67156,   0.74095
+    0xbfe5a28d2a5d7250,    0x3fe79400574f55e4,     //  -0.67609,   0.73682
+    0xbfe5c77bbe65018c,    0x3fe771e75f037261,     //   -0.6806,   0.73265
+    0xbfe5ec3495837074,    0x3fe74f948da8d28d,     //  -0.68508,   0.72846
+    0xbfe610b7551d2cde,    0x3fe72d0837efff97,     //  -0.68954,   0.72425
+    0xbfe63503a31c1be8,    0x3fe70a42b3176d7a,     //  -0.69397,      0.72
+    0xbfe6591925f0783e,    0x3fe6e74454eaa8ae,     //  -0.69838,   0.71573
+    0xbfe67cf78491af10,    0x3fe6c40d73c18275,     //  -0.70275,   0.71143
+    0xbfe6a09e667f3bcc,    0x3fe6a09e667f3bcc,     //  -0.70711,   0.70711
+    0xbfe6c40d73c18275,    0x3fe67cf78491af10,     //  -0.71143,   0.70275
+    0xbfe6e74454eaa8ae,    0x3fe6591925f0783e,     //  -0.71573,   0.69838
+    0xbfe70a42b3176d7a,    0x3fe63503a31c1be8,     //     -0.72,   0.69397
+    0xbfe72d0837efff97,    0x3fe610b7551d2cde,     //  -0.72425,   0.68954
+    0xbfe74f948da8d28d,    0x3fe5ec3495837074,     //  -0.72846,   0.68508
+    0xbfe771e75f037261,    0x3fe5c77bbe65018c,     //  -0.73265,    0.6806
+    0xbfe79400574f55e4,    0x3fe5a28d2a5d7250,     //  -0.73682,   0.67609
+    0xbfe7b5df226aafb0,    0x3fe57d69348cec9f,     //  -0.74095,   0.67156
+    0xbfe7d7836cc33db2,    0x3fe5581038975137,     //  -0.74506,     0.667
+    0xbfe7f8ece3571771,    0x3fe5328292a35596,     //  -0.74914,   0.66242
+    0xbfe81a1b33b57acc,    0x3fe50cc09f59a09b,     //  -0.75319,   0.65781
+    0xbfe83b0e0bff976e,    0x3fe4e6cabbe3e5e9,     //  -0.75721,   0.65317
+    0xbfe85bc51ae958cc,    0x3fe4c0a145ec0004,     //   -0.7612,   0.64851
+    0xbfe87c400fba2ebf,    0x3fe49a449b9b0938,     //  -0.76517,   0.64383
+    0xbfe89c7e9a4dd4ab,    0x3fe473b51b987347,     //   -0.7691,   0.63912
+    0xbfe8bc806b151741,    0x3fe44cf325091dd6,     //  -0.77301,   0.63439
+    0xbfe8dc45331698cc,    0x3fe425ff178e6bb1,     //  -0.77689,   0.62964
+    0xbfe8fbcca3ef940d,    0x3fe3fed9534556d4,     //  -0.78074,   0.62486
+    0xbfe91b166fd49da2,    0x3fe3d78238c58343,     //  -0.78456,   0.62006
+    0xbfe93a22499263fc,    0x3fe3affa292050b9,     //  -0.78835,   0.61523
+    0xbfe958efe48e6dd7,    0x3fe3884185dfeb22,     //  -0.79211,   0.61038
+    0xbfe9777ef4c7d742,    0x3fe36058b10659f3,     //  -0.79584,   0.60551
+    0xbfe995cf2ed80d22,    0x3fe338400d0c8e57,     //  -0.79954,   0.60062
+    0xbfe9b3e047f38741,    0x3fe30ff7fce17035,     //  -0.80321,    0.5957
+    0xbfe9d1b1f5ea80d6,    0x3fe2e780e3e8ea16,     //  -0.80685,   0.59076
+    0xbfe9ef43ef29af94,    0x3fe2bedb25faf3ea,     //  -0.81046,    0.5858
+    0xbfea0c95eabaf937,    0x3fe2960727629ca8,     //  -0.81404,   0.58081
+    0xbfea29a7a0462782,    0x3fe26d054cdd12df,     //  -0.81758,   0.57581
+    0xbfea4678c8119ac8,    0x3fe243d5fb98ac1f,     //   -0.8211,   0.57078
+    0xbfea63091b02fae2,    0x3fe21a799933eb58,     //  -0.82459,   0.56573
+    0xbfea7f58529fe69d,    0x3fe1f0f08bbc861b,     //  -0.82805,   0.56066
+    0xbfea9b66290ea1a3,    0x3fe1c73b39ae68c8,     //  -0.83147,   0.55557
+    0xbfeab7325916c0d4,    0x3fe19d5a09f2b9b8,     //  -0.83486,   0.55046
+    0xbfead2bc9e21d511,    0x3fe1734d63dedb49,     //  -0.83822,   0.54532
+    0xbfeaee04b43c1474,    0x3fe14915af336ceb,     //  -0.84155,   0.54017
+    0xbfeb090a58150200,    0x3fe11eb3541b4b22,     //  -0.84485,     0.535
+    0xbfeb23cd470013b4,    0x3fe0f426bb2a8e7d,     //  -0.84812,    0.5298
+    0xbfeb3e4d3ef55712,    0x3fe0c9704d5d898f,     //  -0.85136,   0.52459
+    0xbfeb5889fe921405,    0x3fe09e907417c5e1,     //  -0.85456,   0.51936
+    0xbfeb728345196e3e,    0x3fe073879922ffed,     //  -0.85773,    0.5141
+    0xbfeb8c38d27504e9,    0x3fe0485626ae221a,     //  -0.86087,   0.50883
+    0xbfeba5aa673590d2,    0x3fe01cfc874c3eb7,     //  -0.86397,   0.50354
+    0xbfebbed7c49380ea,    0x3fdfe2f64be7120f,     //  -0.86705,   0.49823
+    0xbfebd7c0ac6f952a,    0x3fdf8ba4dbf89aba,     //  -0.87009,    0.4929
+    0xbfebf064e15377dd,    0x3fdf3405963fd068,     //  -0.87309,   0.48755
+    0xbfec08c426725549,    0x3fdedc1952ef78d5,     //  -0.87607,   0.48218
+    0xbfec20de3fa971b0,    0x3fde83e0eaf85113,     //  -0.87901,    0.4768
+    0xbfec38b2f180bdb1,    0x3fde2b5d3806f63b,     //  -0.88192,    0.4714
+    0xbfec5042012b6907,    0x3fddd28f1481cc58,     //   -0.8848,   0.46598
+    0xbfec678b3488739b,    0x3fdd79775b86e389,     //  -0.88764,   0.46054
+    0xbfec7e8e52233cf3,    0x3fdd2016e8e9db5b,     //  -0.89045,   0.45508
+    0xbfec954b213411f5,    0x3fdcc66e9931c45d,     //  -0.89322,   0.44961
+    0xbfecabc169a0b901,    0x3fdc6c7f4997000a,     //  -0.89597,   0.44412
+    0xbfecc1f0f3fcfc5c,    0x3fdc1249d8011ee7,     //  -0.89867,   0.43862
+    0xbfecd7d9898b32f6,    0x3fdbb7cf2304bd01,     //  -0.90135,   0.43309
+    0xbfeced7af43cc773,    0x3fdb5d1009e15cc0,     //  -0.90399,   0.42756
+    0xbfed02d4feb2bd92,    0x3fdb020d6c7f4009,     //   -0.9066,     0.422
+    0xbfed17e7743e35dc,    0x3fdaa6c82b6d3fc9,     //  -0.90917,   0.41643
+    0xbfed2cb220e0ef9f,    0x3fda4b4127dea1e4,     //  -0.91171,   0.41084
+    0xbfed4134d14dc93a,    0x3fd9ef7943a8ed8a,     //  -0.91421,   0.40524
+    0xbfed556f52e93eb1,    0x3fd993716141bdfe,     //  -0.91668,   0.39962
+    0xbfed696173c9e68b,    0x3fd9372a63bc93d7,     //  -0.91911,   0.39399
+    0xbfed7d0b02b8ecf9,    0x3fd8daa52ec8a4af,     //  -0.92151,   0.38835
+    0xbfed906bcf328d46,    0x3fd87de2a6aea963,     //  -0.92388,   0.38268
+    0xbfeda383a9668988,    0x3fd820e3b04eaac4,     //  -0.92621,   0.37701
+    0xbfedb6526238a09b,    0x3fd7c3a9311dcce7,     //  -0.92851,   0.37132
+    0xbfedc8d7cb410260,    0x3fd766340f2418f6,     //  -0.93077,   0.36561
+    0xbfeddb13b6ccc23d,    0x3fd7088530fa459e,     //  -0.93299,    0.3599
+    0xbfeded05f7de47da,    0x3fd6aa9d7dc77e16,     //  -0.93518,   0.35416
+    0xbfedfeae622dbe2b,    0x3fd64c7ddd3f27c6,     //  -0.93734,   0.34842
+    0xbfee100cca2980ac,    0x3fd5ee27379ea693,     //  -0.93946,   0.34266
+    0xbfee212104f686e5,    0x3fd58f9a75ab1fdd,     //  -0.94154,   0.33689
+    0xbfee31eae870ce25,    0x3fd530d880af3c24,     //  -0.94359,   0.33111
+    0xbfee426a4b2bc17e,    0x3fd4d1e24278e76a,     //  -0.94561,   0.32531
+    0xbfee529f04729ffc,    0x3fd472b8a5571054,     //  -0.94759,    0.3195
+    0xbfee6288ec48e112,    0x3fd4135c94176602,     //  -0.94953,   0.31368
+    0xbfee7227db6a9744,    0x3fd3b3cefa0414b7,     //  -0.95144,   0.30785
+    0xbfee817bab4cd10d,    0x3fd35410c2e18152,     //  -0.95331,   0.30201
+    0xbfee9084361df7f3,    0x3fd2f422daec0386,     //  -0.95514,   0.29615
+    0xbfee9f4156c62dda,    0x3fd294062ed59f05,     //  -0.95694,   0.29028
+    0xbfeeadb2e8e7a88e,    0x3fd233bbabc3bb72,     //   -0.9587,   0.28441
+    0xbfeebbd8c8df0b74,    0x3fd1d3443f4cdb3d,     //  -0.96043,   0.27852
+    0xbfeec9b2d3c3bf84,    0x3fd172a0d7765177,     //  -0.96212,   0.27262
+    0xbfeed740e7684963,    0x3fd111d262b1f677,     //  -0.96378,   0.26671
+    0xbfeee482e25a9dbc,    0x3fd0b0d9cfdbdb90,     //  -0.96539,   0.26079
+    0xbfeef178a3e473c2,    0x3fd04fb80e37fdae,     //  -0.96698,   0.25487
+    0xbfeefe220c0b95ec,    0x3fcfdcdc1adfedf8,     //  -0.96852,   0.24893
+    0xbfef0a7efb9230d7,    0x3fcf19f97b215f1a,     //  -0.97003,   0.24298
+    0xbfef168f53f7205d,    0x3fce56ca1e101a1b,     //   -0.9715,   0.23702
+    0xbfef2252f7763ada,    0x3fcd934fe5454311,     //  -0.97294,   0.23106
+    0xbfef2dc9c9089a9d,    0x3fcccf8cb312b286,     //  -0.97434,   0.22508
+    0xbfef38f3ac64e589,    0x3fcc0b826a7e4f63,     //   -0.9757,    0.2191
+    0xbfef43d085ff92dd,    0x3fcb4732ef3d6722,     //  -0.97703,   0.21311
+    0xbfef4e603b0b2f2d,    0x3fca82a025b00451,     //  -0.97832,   0.20711
+    0xbfef58a2b1789e84,    0x3fc9bdcbf2dc4366,     //  -0.97957,    0.2011
+    0xbfef6297cff75cb0,    0x3fc8f8b83c69a60a,     //  -0.98079,   0.19509
+    0xbfef6c3f7df5bbb7,    0x3fc83366e89c64c5,     //  -0.98196,   0.18907
+    0xbfef7599a3a12077,    0x3fc76dd9de50bf31,     //  -0.98311,   0.18304
+    0xbfef7ea629e63d6e,    0x3fc6a81304f64ab2,     //  -0.98421,     0.177
+    0xbfef8764fa714ba9,    0x3fc5e214448b3fc6,     //  -0.98528,   0.17096
+    0xbfef8fd5ffae41db,    0x3fc51bdf8597c5f2,     //  -0.98631,   0.16491
+    0xbfef97f924c9099b,    0x3fc45576b1293e5a,     //   -0.9873,   0.15886
+    0xbfef9fce55adb2c8,    0x3fc38edbb0cd8d14,     //  -0.98826,    0.1528
+    0xbfefa7557f08a517,    0x3fc2c8106e8e613a,     //  -0.98918,   0.14673
+    0xbfefae8e8e46cfbb,    0x3fc20116d4ec7bce,     //  -0.99006,   0.14066
+    0xbfefb5797195d741,    0x3fc139f0cedaf576,     //   -0.9909,   0.13458
+    0xbfefbc1617e44186,    0x3fc072a047ba831d,     //  -0.99171,    0.1285
+    0xbfefc26470e19fd3,    0x3fbf564e56a9730e,     //  -0.99248,   0.12241
+    0xbfefc8646cfeb721,    0x3fbdc70ecbae9fc8,     //  -0.99321,   0.11632
+    0xbfefce15fd6da67b,    0x3fbc3785c79ec2d5,     //  -0.99391,   0.11022
+    0xbfefd37914220b84,    0x3fbaa7b724495c04,     //  -0.99456,   0.10412
+    0xbfefd88da3d12526,    0x3fb917a6bc29b42c,     //  -0.99518,  0.098017
+    0xbfefdd539ff1f456,    0x3fb787586a5d5b21,     //  -0.99577,  0.091909
+    0xbfefe1cafcbd5b09,    0x3fb5f6d00a9aa419,     //  -0.99631,  0.085797
+    0xbfefe5f3af2e3940,    0x3fb4661179272096,     //  -0.99682,  0.079682
+    0xbfefe9cdad01883a,    0x3fb2d52092ce19f6,     //  -0.99729,  0.073565
+    0xbfefed58ecb673c4,    0x3fb1440134d709b2,     //  -0.99772,  0.067444
+    0xbfeff095658e71ad,    0x3faf656e79f820e0,     //  -0.99812,  0.061321
+    0xbfeff3830f8d575c,    0x3fac428d12c0d7e3,     //  -0.99848,  0.055195
+    0xbfeff621e3796d7e,    0x3fa91f65f10dd814,     //   -0.9988,  0.049068
+    0xbfeff871dadb81df,    0x3fa5fc00d290cd43,     //  -0.99908,  0.042938
+    0xbfeffa72effef75d,    0x3fa2d865759455cd,     //  -0.99932,  0.036807
+    0xbfeffc251df1d3f8,    0x3f9f693731d1cf01,     //  -0.99953,  0.030675
+    0xbfeffd886084cd0d,    0x3f992155f7a3667e,     //   -0.9997,  0.024541
+    0xbfeffe9cb44b51a1,    0x3f92d936bbe30efd,     //  -0.99983,  0.018407
+    0xbfefff62169b92db,    0x3f8921d1fcdec784,     //  -0.99992,  0.012272
+    0xbfefffd8858e8a92,    0x3f7921f0fe670071,     //  -0.99998, 0.0061359
+    0xbff0000000000000,    0x0000000000000000,     //        -1,         0
+    0xbfefffd8858e8a92,    0xbf7921f0fe670071,     //  -0.99998,-0.0061359
+    0xbfefff62169b92db,    0xbf8921d1fcdec784,     //  -0.99992, -0.012272
+    0xbfeffe9cb44b51a1,    0xbf92d936bbe30efd,     //  -0.99983, -0.018407
+    0xbfeffd886084cd0d,    0xbf992155f7a3667e,     //   -0.9997, -0.024541
+    0xbfeffc251df1d3f8,    0xbf9f693731d1cf01,     //  -0.99953, -0.030675
+    0xbfeffa72effef75d,    0xbfa2d865759455cd,     //  -0.99932, -0.036807
+    0xbfeff871dadb81df,    0xbfa5fc00d290cd43,     //  -0.99908, -0.042938
+    0xbfeff621e3796d7e,    0xbfa91f65f10dd814,     //   -0.9988, -0.049068
+    0xbfeff3830f8d575c,    0xbfac428d12c0d7e3,     //  -0.99848, -0.055195
+    0xbfeff095658e71ad,    0xbfaf656e79f820e0,     //  -0.99812, -0.061321
+    0xbfefed58ecb673c4,    0xbfb1440134d709b2,     //  -0.99772, -0.067444
+    0xbfefe9cdad01883a,    0xbfb2d52092ce19f6,     //  -0.99729, -0.073565
+    0xbfefe5f3af2e3940,    0xbfb4661179272096,     //  -0.99682, -0.079682
+    0xbfefe1cafcbd5b09,    0xbfb5f6d00a9aa419,     //  -0.99631, -0.085797
+    0xbfefdd539ff1f456,    0xbfb787586a5d5b21,     //  -0.99577, -0.091909
+    0xbfefd88da3d12526,    0xbfb917a6bc29b42c,     //  -0.99518, -0.098017
+    0xbfefd37914220b84,    0xbfbaa7b724495c04,     //  -0.99456,  -0.10412
+    0xbfefce15fd6da67b,    0xbfbc3785c79ec2d5,     //  -0.99391,  -0.11022
+    0xbfefc8646cfeb721,    0xbfbdc70ecbae9fc8,     //  -0.99321,  -0.11632
+    0xbfefc26470e19fd3,    0xbfbf564e56a9730e,     //  -0.99248,  -0.12241
+    0xbfefbc1617e44186,    0xbfc072a047ba831d,     //  -0.99171,   -0.1285
+    0xbfefb5797195d741,    0xbfc139f0cedaf576,     //   -0.9909,  -0.13458
+    0xbfefae8e8e46cfbb,    0xbfc20116d4ec7bce,     //  -0.99006,  -0.14066
+    0xbfefa7557f08a517,    0xbfc2c8106e8e613a,     //  -0.98918,  -0.14673
+    0xbfef9fce55adb2c8,    0xbfc38edbb0cd8d14,     //  -0.98826,   -0.1528
+    0xbfef97f924c9099b,    0xbfc45576b1293e5a,     //   -0.9873,  -0.15886
+    0xbfef8fd5ffae41db,    0xbfc51bdf8597c5f2,     //  -0.98631,  -0.16491
+    0xbfef8764fa714ba9,    0xbfc5e214448b3fc6,     //  -0.98528,  -0.17096
+    0xbfef7ea629e63d6e,    0xbfc6a81304f64ab2,     //  -0.98421,    -0.177
+    0xbfef7599a3a12077,    0xbfc76dd9de50bf31,     //  -0.98311,  -0.18304
+    0xbfef6c3f7df5bbb7,    0xbfc83366e89c64c5,     //  -0.98196,  -0.18907
+    0xbfef6297cff75cb0,    0xbfc8f8b83c69a60a,     //  -0.98079,  -0.19509
+    0xbfef58a2b1789e84,    0xbfc9bdcbf2dc4366,     //  -0.97957,   -0.2011
+    0xbfef4e603b0b2f2d,    0xbfca82a025b00451,     //  -0.97832,  -0.20711
+    0xbfef43d085ff92dd,    0xbfcb4732ef3d6722,     //  -0.97703,  -0.21311
+    0xbfef38f3ac64e589,    0xbfcc0b826a7e4f63,     //   -0.9757,   -0.2191
+    0xbfef2dc9c9089a9d,    0xbfcccf8cb312b286,     //  -0.97434,  -0.22508
+    0xbfef2252f7763ada,    0xbfcd934fe5454311,     //  -0.97294,  -0.23106
+    0xbfef168f53f7205d,    0xbfce56ca1e101a1b,     //   -0.9715,  -0.23702
+    0xbfef0a7efb9230d7,    0xbfcf19f97b215f1a,     //  -0.97003,  -0.24298
+    0xbfeefe220c0b95ec,    0xbfcfdcdc1adfedf8,     //  -0.96852,  -0.24893
+    0xbfeef178a3e473c2,    0xbfd04fb80e37fdae,     //  -0.96698,  -0.25487
+    0xbfeee482e25a9dbc,    0xbfd0b0d9cfdbdb90,     //  -0.96539,  -0.26079
+    0xbfeed740e7684963,    0xbfd111d262b1f677,     //  -0.96378,  -0.26671
+    0xbfeec9b2d3c3bf84,    0xbfd172a0d7765177,     //  -0.96212,  -0.27262
+    0xbfeebbd8c8df0b74,    0xbfd1d3443f4cdb3d,     //  -0.96043,  -0.27852
+    0xbfeeadb2e8e7a88e,    0xbfd233bbabc3bb72,     //   -0.9587,  -0.28441
+    0xbfee9f4156c62dda,    0xbfd294062ed59f05,     //  -0.95694,  -0.29028
+    0xbfee9084361df7f3,    0xbfd2f422daec0386,     //  -0.95514,  -0.29615
+    0xbfee817bab4cd10d,    0xbfd35410c2e18152,     //  -0.95331,  -0.30201
+    0xbfee7227db6a9744,    0xbfd3b3cefa0414b7,     //  -0.95144,  -0.30785
+    0xbfee6288ec48e112,    0xbfd4135c94176602,     //  -0.94953,  -0.31368
+    0xbfee529f04729ffc,    0xbfd472b8a5571054,     //  -0.94759,   -0.3195
+    0xbfee426a4b2bc17e,    0xbfd4d1e24278e76a,     //  -0.94561,  -0.32531
+    0xbfee31eae870ce25,    0xbfd530d880af3c24,     //  -0.94359,  -0.33111
+    0xbfee212104f686e5,    0xbfd58f9a75ab1fdd,     //  -0.94154,  -0.33689
+    0xbfee100cca2980ac,    0xbfd5ee27379ea693,     //  -0.93946,  -0.34266
+    0xbfedfeae622dbe2b,    0xbfd64c7ddd3f27c6,     //  -0.93734,  -0.34842
+    0xbfeded05f7de47da,    0xbfd6aa9d7dc77e16,     //  -0.93518,  -0.35416
+    0xbfeddb13b6ccc23d,    0xbfd7088530fa459e,     //  -0.93299,   -0.3599
+    0xbfedc8d7cb410260,    0xbfd766340f2418f6,     //  -0.93077,  -0.36561
+    0xbfedb6526238a09b,    0xbfd7c3a9311dcce7,     //  -0.92851,  -0.37132
+    0xbfeda383a9668988,    0xbfd820e3b04eaac4,     //  -0.92621,  -0.37701
+    0xbfed906bcf328d46,    0xbfd87de2a6aea963,     //  -0.92388,  -0.38268
+    0xbfed7d0b02b8ecf9,    0xbfd8daa52ec8a4af,     //  -0.92151,  -0.38835
+    0xbfed696173c9e68b,    0xbfd9372a63bc93d7,     //  -0.91911,  -0.39399
+    0xbfed556f52e93eb1,    0xbfd993716141bdfe,     //  -0.91668,  -0.39962
+    0xbfed4134d14dc93a,    0xbfd9ef7943a8ed8a,     //  -0.91421,  -0.40524
+    0xbfed2cb220e0ef9f,    0xbfda4b4127dea1e4,     //  -0.91171,  -0.41084
+    0xbfed17e7743e35dc,    0xbfdaa6c82b6d3fc9,     //  -0.90917,  -0.41643
+    0xbfed02d4feb2bd92,    0xbfdb020d6c7f4009,     //   -0.9066,    -0.422
+    0xbfeced7af43cc773,    0xbfdb5d1009e15cc0,     //  -0.90399,  -0.42756
+    0xbfecd7d9898b32f6,    0xbfdbb7cf2304bd01,     //  -0.90135,  -0.43309
+    0xbfecc1f0f3fcfc5c,    0xbfdc1249d8011ee7,     //  -0.89867,  -0.43862
+    0xbfecabc169a0b901,    0xbfdc6c7f4997000a,     //  -0.89597,  -0.44412
+    0xbfec954b213411f5,    0xbfdcc66e9931c45d,     //  -0.89322,  -0.44961
+    0xbfec7e8e52233cf3,    0xbfdd2016e8e9db5b,     //  -0.89045,  -0.45508
+    0xbfec678b3488739b,    0xbfdd79775b86e389,     //  -0.88764,  -0.46054
+    0xbfec5042012b6907,    0xbfddd28f1481cc58,     //   -0.8848,  -0.46598
+    0xbfec38b2f180bdb1,    0xbfde2b5d3806f63b,     //  -0.88192,   -0.4714
+    0xbfec20de3fa971b0,    0xbfde83e0eaf85113,     //  -0.87901,   -0.4768
+    0xbfec08c426725549,    0xbfdedc1952ef78d5,     //  -0.87607,  -0.48218
+    0xbfebf064e15377dd,    0xbfdf3405963fd068,     //  -0.87309,  -0.48755
+    0xbfebd7c0ac6f952a,    0xbfdf8ba4dbf89aba,     //  -0.87009,   -0.4929
+    0xbfebbed7c49380ea,    0xbfdfe2f64be7120f,     //  -0.86705,  -0.49823
+    0xbfeba5aa673590d2,    0xbfe01cfc874c3eb7,     //  -0.86397,  -0.50354
+    0xbfeb8c38d27504e9,    0xbfe0485626ae221a,     //  -0.86087,  -0.50883
+    0xbfeb728345196e3e,    0xbfe073879922ffed,     //  -0.85773,   -0.5141
+    0xbfeb5889fe921405,    0xbfe09e907417c5e1,     //  -0.85456,  -0.51936
+    0xbfeb3e4d3ef55712,    0xbfe0c9704d5d898f,     //  -0.85136,  -0.52459
+    0xbfeb23cd470013b4,    0xbfe0f426bb2a8e7d,     //  -0.84812,   -0.5298
+    0xbfeb090a58150200,    0xbfe11eb3541b4b22,     //  -0.84485,    -0.535
+    0xbfeaee04b43c1474,    0xbfe14915af336ceb,     //  -0.84155,  -0.54017
+    0xbfead2bc9e21d511,    0xbfe1734d63dedb49,     //  -0.83822,  -0.54532
+    0xbfeab7325916c0d4,    0xbfe19d5a09f2b9b8,     //  -0.83486,  -0.55046
+    0xbfea9b66290ea1a3,    0xbfe1c73b39ae68c8,     //  -0.83147,  -0.55557
+    0xbfea7f58529fe69d,    0xbfe1f0f08bbc861b,     //  -0.82805,  -0.56066
+    0xbfea63091b02fae2,    0xbfe21a799933eb58,     //  -0.82459,  -0.56573
+    0xbfea4678c8119ac8,    0xbfe243d5fb98ac1f,     //   -0.8211,  -0.57078
+    0xbfea29a7a0462782,    0xbfe26d054cdd12df,     //  -0.81758,  -0.57581
+    0xbfea0c95eabaf937,    0xbfe2960727629ca8,     //  -0.81404,  -0.58081
+    0xbfe9ef43ef29af94,    0xbfe2bedb25faf3ea,     //  -0.81046,   -0.5858
+    0xbfe9d1b1f5ea80d6,    0xbfe2e780e3e8ea16,     //  -0.80685,  -0.59076
+    0xbfe9b3e047f38741,    0xbfe30ff7fce17035,     //  -0.80321,   -0.5957
+    0xbfe995cf2ed80d22,    0xbfe338400d0c8e57,     //  -0.79954,  -0.60062
+    0xbfe9777ef4c7d742,    0xbfe36058b10659f3,     //  -0.79584,  -0.60551
+    0xbfe958efe48e6dd7,    0xbfe3884185dfeb22,     //  -0.79211,  -0.61038
+    0xbfe93a22499263fc,    0xbfe3affa292050b9,     //  -0.78835,  -0.61523
+    0xbfe91b166fd49da2,    0xbfe3d78238c58343,     //  -0.78456,  -0.62006
+    0xbfe8fbcca3ef940d,    0xbfe3fed9534556d4,     //  -0.78074,  -0.62486
+    0xbfe8dc45331698cc,    0xbfe425ff178e6bb1,     //  -0.77689,  -0.62964
+    0xbfe8bc806b151741,    0xbfe44cf325091dd6,     //  -0.77301,  -0.63439
+    0xbfe89c7e9a4dd4ab,    0xbfe473b51b987347,     //   -0.7691,  -0.63912
+    0xbfe87c400fba2ebf,    0xbfe49a449b9b0938,     //  -0.76517,  -0.64383
+    0xbfe85bc51ae958cc,    0xbfe4c0a145ec0004,     //   -0.7612,  -0.64851
+    0xbfe83b0e0bff976e,    0xbfe4e6cabbe3e5e9,     //  -0.75721,  -0.65317
+    0xbfe81a1b33b57acc,    0xbfe50cc09f59a09b,     //  -0.75319,  -0.65781
+    0xbfe7f8ece3571771,    0xbfe5328292a35596,     //  -0.74914,  -0.66242
+    0xbfe7d7836cc33db2,    0xbfe5581038975137,     //  -0.74506,    -0.667
+    0xbfe7b5df226aafb0,    0xbfe57d69348cec9f,     //  -0.74095,  -0.67156
+    0xbfe79400574f55e4,    0xbfe5a28d2a5d7250,     //  -0.73682,  -0.67609
+    0xbfe771e75f037261,    0xbfe5c77bbe65018c,     //  -0.73265,   -0.6806
+    0xbfe74f948da8d28d,    0xbfe5ec3495837074,     //  -0.72846,  -0.68508
+    0xbfe72d0837efff97,    0xbfe610b7551d2cde,     //  -0.72425,  -0.68954
+    0xbfe70a42b3176d7a,    0xbfe63503a31c1be8,     //     -0.72,  -0.69397
+    0xbfe6e74454eaa8ae,    0xbfe6591925f0783e,     //  -0.71573,  -0.69838
+    0xbfe6c40d73c18275,    0xbfe67cf78491af10,     //  -0.71143,  -0.70275
+    0xbfe6a09e667f3bcc,    0xbfe6a09e667f3bcc,     //  -0.70711,  -0.70711
+    0xbfe67cf78491af10,    0xbfe6c40d73c18275,     //  -0.70275,  -0.71143
+    0xbfe6591925f0783e,    0xbfe6e74454eaa8ae,     //  -0.69838,  -0.71573
+    0xbfe63503a31c1be8,    0xbfe70a42b3176d7a,     //  -0.69397,     -0.72
+    0xbfe610b7551d2cde,    0xbfe72d0837efff97,     //  -0.68954,  -0.72425
+    0xbfe5ec3495837074,    0xbfe74f948da8d28d,     //  -0.68508,  -0.72846
+    0xbfe5c77bbe65018c,    0xbfe771e75f037261,     //   -0.6806,  -0.73265
+    0xbfe5a28d2a5d7250,    0xbfe79400574f55e4,     //  -0.67609,  -0.73682
+    0xbfe57d69348cec9f,    0xbfe7b5df226aafb0,     //  -0.67156,  -0.74095
+    0xbfe5581038975137,    0xbfe7d7836cc33db2,     //    -0.667,  -0.74506
+    0xbfe5328292a35596,    0xbfe7f8ece3571771,     //  -0.66242,  -0.74914
+    0xbfe50cc09f59a09b,    0xbfe81a1b33b57acc,     //  -0.65781,  -0.75319
+    0xbfe4e6cabbe3e5e9,    0xbfe83b0e0bff976e,     //  -0.65317,  -0.75721
+    0xbfe4c0a145ec0004,    0xbfe85bc51ae958cc,     //  -0.64851,   -0.7612
+    0xbfe49a449b9b0938,    0xbfe87c400fba2ebf,     //  -0.64383,  -0.76517
+    0xbfe473b51b987347,    0xbfe89c7e9a4dd4ab,     //  -0.63912,   -0.7691
+    0xbfe44cf325091dd6,    0xbfe8bc806b151741,     //  -0.63439,  -0.77301
+    0xbfe425ff178e6bb1,    0xbfe8dc45331698cc,     //  -0.62964,  -0.77689
+    0xbfe3fed9534556d4,    0xbfe8fbcca3ef940d,     //  -0.62486,  -0.78074
+    0xbfe3d78238c58343,    0xbfe91b166fd49da2,     //  -0.62006,  -0.78456
+    0xbfe3affa292050b9,    0xbfe93a22499263fc,     //  -0.61523,  -0.78835
+    0xbfe3884185dfeb22,    0xbfe958efe48e6dd7,     //  -0.61038,  -0.79211
+    0xbfe36058b10659f3,    0xbfe9777ef4c7d742,     //  -0.60551,  -0.79584
+    0xbfe338400d0c8e57,    0xbfe995cf2ed80d22,     //  -0.60062,  -0.79954
+    0xbfe30ff7fce17035,    0xbfe9b3e047f38741,     //   -0.5957,  -0.80321
+    0xbfe2e780e3e8ea16,    0xbfe9d1b1f5ea80d6,     //  -0.59076,  -0.80685
+    0xbfe2bedb25faf3ea,    0xbfe9ef43ef29af94,     //   -0.5858,  -0.81046
+    0xbfe2960727629ca8,    0xbfea0c95eabaf937,     //  -0.58081,  -0.81404
+    0xbfe26d054cdd12df,    0xbfea29a7a0462782,     //  -0.57581,  -0.81758
+    0xbfe243d5fb98ac1f,    0xbfea4678c8119ac8,     //  -0.57078,   -0.8211
+    0xbfe21a799933eb58,    0xbfea63091b02fae2,     //  -0.56573,  -0.82459
+    0xbfe1f0f08bbc861b,    0xbfea7f58529fe69d,     //  -0.56066,  -0.82805
+    0xbfe1c73b39ae68c8,    0xbfea9b66290ea1a3,     //  -0.55557,  -0.83147
+    0xbfe19d5a09f2b9b8,    0xbfeab7325916c0d4,     //  -0.55046,  -0.83486
+    0xbfe1734d63dedb49,    0xbfead2bc9e21d511,     //  -0.54532,  -0.83822
+    0xbfe14915af336ceb,    0xbfeaee04b43c1474,     //  -0.54017,  -0.84155
+    0xbfe11eb3541b4b22,    0xbfeb090a58150200,     //    -0.535,  -0.84485
+    0xbfe0f426bb2a8e7d,    0xbfeb23cd470013b4,     //   -0.5298,  -0.84812
+    0xbfe0c9704d5d898f,    0xbfeb3e4d3ef55712,     //  -0.52459,  -0.85136
+    0xbfe09e907417c5e1,    0xbfeb5889fe921405,     //  -0.51936,  -0.85456
+    0xbfe073879922ffed,    0xbfeb728345196e3e,     //   -0.5141,  -0.85773
+    0xbfe0485626ae221a,    0xbfeb8c38d27504e9,     //  -0.50883,  -0.86087
+    0xbfe01cfc874c3eb7,    0xbfeba5aa673590d2,     //  -0.50354,  -0.86397
+    0xbfdfe2f64be7120f,    0xbfebbed7c49380ea,     //  -0.49823,  -0.86705
+    0xbfdf8ba4dbf89aba,    0xbfebd7c0ac6f952a,     //   -0.4929,  -0.87009
+    0xbfdf3405963fd068,    0xbfebf064e15377dd,     //  -0.48755,  -0.87309
+    0xbfdedc1952ef78d5,    0xbfec08c426725549,     //  -0.48218,  -0.87607
+    0xbfde83e0eaf85113,    0xbfec20de3fa971b0,     //   -0.4768,  -0.87901
+    0xbfde2b5d3806f63b,    0xbfec38b2f180bdb1,     //   -0.4714,  -0.88192
+    0xbfddd28f1481cc58,    0xbfec5042012b6907,     //  -0.46598,   -0.8848
+    0xbfdd79775b86e389,    0xbfec678b3488739b,     //  -0.46054,  -0.88764
+    0xbfdd2016e8e9db5b,    0xbfec7e8e52233cf3,     //  -0.45508,  -0.89045
+    0xbfdcc66e9931c45d,    0xbfec954b213411f5,     //  -0.44961,  -0.89322
+    0xbfdc6c7f4997000a,    0xbfecabc169a0b901,     //  -0.44412,  -0.89597
+    0xbfdc1249d8011ee7,    0xbfecc1f0f3fcfc5c,     //  -0.43862,  -0.89867
+    0xbfdbb7cf2304bd01,    0xbfecd7d9898b32f6,     //  -0.43309,  -0.90135
+    0xbfdb5d1009e15cc0,    0xbfeced7af43cc773,     //  -0.42756,  -0.90399
+    0xbfdb020d6c7f4009,    0xbfed02d4feb2bd92,     //    -0.422,   -0.9066
+    0xbfdaa6c82b6d3fc9,    0xbfed17e7743e35dc,     //  -0.41643,  -0.90917
+    0xbfda4b4127dea1e4,    0xbfed2cb220e0ef9f,     //  -0.41084,  -0.91171
+    0xbfd9ef7943a8ed8a,    0xbfed4134d14dc93a,     //  -0.40524,  -0.91421
+    0xbfd993716141bdfe,    0xbfed556f52e93eb1,     //  -0.39962,  -0.91668
+    0xbfd9372a63bc93d7,    0xbfed696173c9e68b,     //  -0.39399,  -0.91911
+    0xbfd8daa52ec8a4af,    0xbfed7d0b02b8ecf9,     //  -0.38835,  -0.92151
+    0xbfd87de2a6aea963,    0xbfed906bcf328d46,     //  -0.38268,  -0.92388
+    0xbfd820e3b04eaac4,    0xbfeda383a9668988,     //  -0.37701,  -0.92621
+    0xbfd7c3a9311dcce7,    0xbfedb6526238a09b,     //  -0.37132,  -0.92851
+    0xbfd766340f2418f6,    0xbfedc8d7cb410260,     //  -0.36561,  -0.93077
+    0xbfd7088530fa459e,    0xbfeddb13b6ccc23d,     //   -0.3599,  -0.93299
+    0xbfd6aa9d7dc77e16,    0xbfeded05f7de47da,     //  -0.35416,  -0.93518
+    0xbfd64c7ddd3f27c6,    0xbfedfeae622dbe2b,     //  -0.34842,  -0.93734
+    0xbfd5ee27379ea693,    0xbfee100cca2980ac,     //  -0.34266,  -0.93946
+    0xbfd58f9a75ab1fdd,    0xbfee212104f686e5,     //  -0.33689,  -0.94154
+    0xbfd530d880af3c24,    0xbfee31eae870ce25,     //  -0.33111,  -0.94359
+    0xbfd4d1e24278e76a,    0xbfee426a4b2bc17e,     //  -0.32531,  -0.94561
+    0xbfd472b8a5571054,    0xbfee529f04729ffc,     //   -0.3195,  -0.94759
+    0xbfd4135c94176602,    0xbfee6288ec48e112,     //  -0.31368,  -0.94953
+    0xbfd3b3cefa0414b7,    0xbfee7227db6a9744,     //  -0.30785,  -0.95144
+    0xbfd35410c2e18152,    0xbfee817bab4cd10d,     //  -0.30201,  -0.95331
+    0xbfd2f422daec0386,    0xbfee9084361df7f3,     //  -0.29615,  -0.95514
+    0xbfd294062ed59f05,    0xbfee9f4156c62dda,     //  -0.29028,  -0.95694
+    0xbfd233bbabc3bb72,    0xbfeeadb2e8e7a88e,     //  -0.28441,   -0.9587
+    0xbfd1d3443f4cdb3d,    0xbfeebbd8c8df0b74,     //  -0.27852,  -0.96043
+    0xbfd172a0d7765177,    0xbfeec9b2d3c3bf84,     //  -0.27262,  -0.96212
+    0xbfd111d262b1f677,    0xbfeed740e7684963,     //  -0.26671,  -0.96378
+    0xbfd0b0d9cfdbdb90,    0xbfeee482e25a9dbc,     //  -0.26079,  -0.96539
+    0xbfd04fb80e37fdae,    0xbfeef178a3e473c2,     //  -0.25487,  -0.96698
+    0xbfcfdcdc1adfedf8,    0xbfeefe220c0b95ec,     //  -0.24893,  -0.96852
+    0xbfcf19f97b215f1a,    0xbfef0a7efb9230d7,     //  -0.24298,  -0.97003
+    0xbfce56ca1e101a1b,    0xbfef168f53f7205d,     //  -0.23702,   -0.9715
+    0xbfcd934fe5454311,    0xbfef2252f7763ada,     //  -0.23106,  -0.97294
+    0xbfcccf8cb312b286,    0xbfef2dc9c9089a9d,     //  -0.22508,  -0.97434
+    0xbfcc0b826a7e4f63,    0xbfef38f3ac64e589,     //   -0.2191,   -0.9757
+    0xbfcb4732ef3d6722,    0xbfef43d085ff92dd,     //  -0.21311,  -0.97703
+    0xbfca82a025b00451,    0xbfef4e603b0b2f2d,     //  -0.20711,  -0.97832
+    0xbfc9bdcbf2dc4366,    0xbfef58a2b1789e84,     //   -0.2011,  -0.97957
+    0xbfc8f8b83c69a60a,    0xbfef6297cff75cb0,     //  -0.19509,  -0.98079
+    0xbfc83366e89c64c5,    0xbfef6c3f7df5bbb7,     //  -0.18907,  -0.98196
+    0xbfc76dd9de50bf31,    0xbfef7599a3a12077,     //  -0.18304,  -0.98311
+    0xbfc6a81304f64ab2,    0xbfef7ea629e63d6e,     //    -0.177,  -0.98421
+    0xbfc5e214448b3fc6,    0xbfef8764fa714ba9,     //  -0.17096,  -0.98528
+    0xbfc51bdf8597c5f2,    0xbfef8fd5ffae41db,     //  -0.16491,  -0.98631
+    0xbfc45576b1293e5a,    0xbfef97f924c9099b,     //  -0.15886,   -0.9873
+    0xbfc38edbb0cd8d14,    0xbfef9fce55adb2c8,     //   -0.1528,  -0.98826
+    0xbfc2c8106e8e613a,    0xbfefa7557f08a517,     //  -0.14673,  -0.98918
+    0xbfc20116d4ec7bce,    0xbfefae8e8e46cfbb,     //  -0.14066,  -0.99006
+    0xbfc139f0cedaf576,    0xbfefb5797195d741,     //  -0.13458,   -0.9909
+    0xbfc072a047ba831d,    0xbfefbc1617e44186,     //   -0.1285,  -0.99171
+    0xbfbf564e56a9730e,    0xbfefc26470e19fd3,     //  -0.12241,  -0.99248
+    0xbfbdc70ecbae9fc8,    0xbfefc8646cfeb721,     //  -0.11632,  -0.99321
+    0xbfbc3785c79ec2d5,    0xbfefce15fd6da67b,     //  -0.11022,  -0.99391
+    0xbfbaa7b724495c04,    0xbfefd37914220b84,     //  -0.10412,  -0.99456
+    0xbfb917a6bc29b42c,    0xbfefd88da3d12526,     // -0.098017,  -0.99518
+    0xbfb787586a5d5b21,    0xbfefdd539ff1f456,     // -0.091909,  -0.99577
+    0xbfb5f6d00a9aa419,    0xbfefe1cafcbd5b09,     // -0.085797,  -0.99631
+    0xbfb4661179272096,    0xbfefe5f3af2e3940,     // -0.079682,  -0.99682
+    0xbfb2d52092ce19f6,    0xbfefe9cdad01883a,     // -0.073565,  -0.99729
+    0xbfb1440134d709b2,    0xbfefed58ecb673c4,     // -0.067444,  -0.99772
+    0xbfaf656e79f820e0,    0xbfeff095658e71ad,     // -0.061321,  -0.99812
+    0xbfac428d12c0d7e3,    0xbfeff3830f8d575c,     // -0.055195,  -0.99848
+    0xbfa91f65f10dd814,    0xbfeff621e3796d7e,     // -0.049068,   -0.9988
+    0xbfa5fc00d290cd43,    0xbfeff871dadb81df,     // -0.042938,  -0.99908
+    0xbfa2d865759455cd,    0xbfeffa72effef75d,     // -0.036807,  -0.99932
+    0xbf9f693731d1cf01,    0xbfeffc251df1d3f8,     // -0.030675,  -0.99953
+    0xbf992155f7a3667e,    0xbfeffd886084cd0d,     // -0.024541,   -0.9997
+    0xbf92d936bbe30efd,    0xbfeffe9cb44b51a1,     // -0.018407,  -0.99983
+    0xbf8921d1fcdec784,    0xbfefff62169b92db,     // -0.012272,  -0.99992
+    0xbf7921f0fe670071,    0xbfefffd8858e8a92,     //-0.0061359,  -0.99998
+    0x0000000000000000,    0xbff0000000000000,     //         0,        -1
+    0x3f7921f0fe670071,    0xbfefffd8858e8a92,     // 0.0061359,  -0.99998
+    0x3f8921d1fcdec784,    0xbfefff62169b92db,     //  0.012272,  -0.99992
+    0x3f92d936bbe30efd,    0xbfeffe9cb44b51a1,     //  0.018407,  -0.99983
+    0x3f992155f7a3667e,    0xbfeffd886084cd0d,     //  0.024541,   -0.9997
+    0x3f9f693731d1cf01,    0xbfeffc251df1d3f8,     //  0.030675,  -0.99953
+    0x3fa2d865759455cd,    0xbfeffa72effef75d,     //  0.036807,  -0.99932
+    0x3fa5fc00d290cd43,    0xbfeff871dadb81df,     //  0.042938,  -0.99908
+    0x3fa91f65f10dd814,    0xbfeff621e3796d7e,     //  0.049068,   -0.9988
+    0x3fac428d12c0d7e3,    0xbfeff3830f8d575c,     //  0.055195,  -0.99848
+    0x3faf656e79f820e0,    0xbfeff095658e71ad,     //  0.061321,  -0.99812
+    0x3fb1440134d709b2,    0xbfefed58ecb673c4,     //  0.067444,  -0.99772
+    0x3fb2d52092ce19f6,    0xbfefe9cdad01883a,     //  0.073565,  -0.99729
+    0x3fb4661179272096,    0xbfefe5f3af2e3940,     //  0.079682,  -0.99682
+    0x3fb5f6d00a9aa419,    0xbfefe1cafcbd5b09,     //  0.085797,  -0.99631
+    0x3fb787586a5d5b21,    0xbfefdd539ff1f456,     //  0.091909,  -0.99577
+    0x3fb917a6bc29b42c,    0xbfefd88da3d12526,     //  0.098017,  -0.99518
+    0x3fbaa7b724495c04,    0xbfefd37914220b84,     //   0.10412,  -0.99456
+    0x3fbc3785c79ec2d5,    0xbfefce15fd6da67b,     //   0.11022,  -0.99391
+    0x3fbdc70ecbae9fc8,    0xbfefc8646cfeb721,     //   0.11632,  -0.99321
+    0x3fbf564e56a9730e,    0xbfefc26470e19fd3,     //   0.12241,  -0.99248
+    0x3fc072a047ba831d,    0xbfefbc1617e44186,     //    0.1285,  -0.99171
+    0x3fc139f0cedaf576,    0xbfefb5797195d741,     //   0.13458,   -0.9909
+    0x3fc20116d4ec7bce,    0xbfefae8e8e46cfbb,     //   0.14066,  -0.99006
+    0x3fc2c8106e8e613a,    0xbfefa7557f08a517,     //   0.14673,  -0.98918
+    0x3fc38edbb0cd8d14,    0xbfef9fce55adb2c8,     //    0.1528,  -0.98826
+    0x3fc45576b1293e5a,    0xbfef97f924c9099b,     //   0.15886,   -0.9873
+    0x3fc51bdf8597c5f2,    0xbfef8fd5ffae41db,     //   0.16491,  -0.98631
+    0x3fc5e214448b3fc6,    0xbfef8764fa714ba9,     //   0.17096,  -0.98528
+    0x3fc6a81304f64ab2,    0xbfef7ea629e63d6e,     //     0.177,  -0.98421
+    0x3fc76dd9de50bf31,    0xbfef7599a3a12077,     //   0.18304,  -0.98311
+    0x3fc83366e89c64c5,    0xbfef6c3f7df5bbb7,     //   0.18907,  -0.98196
+    0x3fc8f8b83c69a60a,    0xbfef6297cff75cb0,     //   0.19509,  -0.98079
+    0x3fc9bdcbf2dc4366,    0xbfef58a2b1789e84,     //    0.2011,  -0.97957
+    0x3fca82a025b00451,    0xbfef4e603b0b2f2d,     //   0.20711,  -0.97832
+    0x3fcb4732ef3d6722,    0xbfef43d085ff92dd,     //   0.21311,  -0.97703
+    0x3fcc0b826a7e4f63,    0xbfef38f3ac64e589,     //    0.2191,   -0.9757
+    0x3fcccf8cb312b286,    0xbfef2dc9c9089a9d,     //   0.22508,  -0.97434
+    0x3fcd934fe5454311,    0xbfef2252f7763ada,     //   0.23106,  -0.97294
+    0x3fce56ca1e101a1b,    0xbfef168f53f7205d,     //   0.23702,   -0.9715
+    0x3fcf19f97b215f1a,    0xbfef0a7efb9230d7,     //   0.24298,  -0.97003
+    0x3fcfdcdc1adfedf8,    0xbfeefe220c0b95ec,     //   0.24893,  -0.96852
+    0x3fd04fb80e37fdae,    0xbfeef178a3e473c2,     //   0.25487,  -0.96698
+    0x3fd0b0d9cfdbdb90,    0xbfeee482e25a9dbc,     //   0.26079,  -0.96539
+    0x3fd111d262b1f677,    0xbfeed740e7684963,     //   0.26671,  -0.96378
+    0x3fd172a0d7765177,    0xbfeec9b2d3c3bf84,     //   0.27262,  -0.96212
+    0x3fd1d3443f4cdb3d,    0xbfeebbd8c8df0b74,     //   0.27852,  -0.96043
+    0x3fd233bbabc3bb72,    0xbfeeadb2e8e7a88e,     //   0.28441,   -0.9587
+    0x3fd294062ed59f05,    0xbfee9f4156c62dda,     //   0.29028,  -0.95694
+    0x3fd2f422daec0386,    0xbfee9084361df7f3,     //   0.29615,  -0.95514
+    0x3fd35410c2e18152,    0xbfee817bab4cd10d,     //   0.30201,  -0.95331
+    0x3fd3b3cefa0414b7,    0xbfee7227db6a9744,     //   0.30785,  -0.95144
+    0x3fd4135c94176602,    0xbfee6288ec48e112,     //   0.31368,  -0.94953
+    0x3fd472b8a5571054,    0xbfee529f04729ffc,     //    0.3195,  -0.94759
+    0x3fd4d1e24278e76a,    0xbfee426a4b2bc17e,     //   0.32531,  -0.94561
+    0x3fd530d880af3c24,    0xbfee31eae870ce25,     //   0.33111,  -0.94359
+    0x3fd58f9a75ab1fdd,    0xbfee212104f686e5,     //   0.33689,  -0.94154
+    0x3fd5ee27379ea693,    0xbfee100cca2980ac,     //   0.34266,  -0.93946
+    0x3fd64c7ddd3f27c6,    0xbfedfeae622dbe2b,     //   0.34842,  -0.93734
+    0x3fd6aa9d7dc77e16,    0xbfeded05f7de47da,     //   0.35416,  -0.93518
+    0x3fd7088530fa459e,    0xbfeddb13b6ccc23d,     //    0.3599,  -0.93299
+    0x3fd766340f2418f6,    0xbfedc8d7cb410260,     //   0.36561,  -0.93077
+    0x3fd7c3a9311dcce7,    0xbfedb6526238a09b,     //   0.37132,  -0.92851
+    0x3fd820e3b04eaac4,    0xbfeda383a9668988,     //   0.37701,  -0.92621
+    0x3fd87de2a6aea963,    0xbfed906bcf328d46,     //   0.38268,  -0.92388
+    0x3fd8daa52ec8a4af,    0xbfed7d0b02b8ecf9,     //   0.38835,  -0.92151
+    0x3fd9372a63bc93d7,    0xbfed696173c9e68b,     //   0.39399,  -0.91911
+    0x3fd993716141bdfe,    0xbfed556f52e93eb1,     //   0.39962,  -0.91668
+    0x3fd9ef7943a8ed8a,    0xbfed4134d14dc93a,     //   0.40524,  -0.91421
+    0x3fda4b4127dea1e4,    0xbfed2cb220e0ef9f,     //   0.41084,  -0.91171
+    0x3fdaa6c82b6d3fc9,    0xbfed17e7743e35dc,     //   0.41643,  -0.90917
+    0x3fdb020d6c7f4009,    0xbfed02d4feb2bd92,     //     0.422,   -0.9066
+    0x3fdb5d1009e15cc0,    0xbfeced7af43cc773,     //   0.42756,  -0.90399
+    0x3fdbb7cf2304bd01,    0xbfecd7d9898b32f6,     //   0.43309,  -0.90135
+    0x3fdc1249d8011ee7,    0xbfecc1f0f3fcfc5c,     //   0.43862,  -0.89867
+    0x3fdc6c7f4997000a,    0xbfecabc169a0b901,     //   0.44412,  -0.89597
+    0x3fdcc66e9931c45d,    0xbfec954b213411f5,     //   0.44961,  -0.89322
+    0x3fdd2016e8e9db5b,    0xbfec7e8e52233cf3,     //   0.45508,  -0.89045
+    0x3fdd79775b86e389,    0xbfec678b3488739b,     //   0.46054,  -0.88764
+    0x3fddd28f1481cc58,    0xbfec5042012b6907,     //   0.46598,   -0.8848
+    0x3fde2b5d3806f63b,    0xbfec38b2f180bdb1,     //    0.4714,  -0.88192
+    0x3fde83e0eaf85113,    0xbfec20de3fa971b0,     //    0.4768,  -0.87901
+    0x3fdedc1952ef78d5,    0xbfec08c426725549,     //   0.48218,  -0.87607
+    0x3fdf3405963fd068,    0xbfebf064e15377dd,     //   0.48755,  -0.87309
+    0x3fdf8ba4dbf89aba,    0xbfebd7c0ac6f952a,     //    0.4929,  -0.87009
+    0x3fdfe2f64be7120f,    0xbfebbed7c49380ea,     //   0.49823,  -0.86705
+    0x3fe01cfc874c3eb7,    0xbfeba5aa673590d2,     //   0.50354,  -0.86397
+    0x3fe0485626ae221a,    0xbfeb8c38d27504e9,     //   0.50883,  -0.86087
+    0x3fe073879922ffed,    0xbfeb728345196e3e,     //    0.5141,  -0.85773
+    0x3fe09e907417c5e1,    0xbfeb5889fe921405,     //   0.51936,  -0.85456
+    0x3fe0c9704d5d898f,    0xbfeb3e4d3ef55712,     //   0.52459,  -0.85136
+    0x3fe0f426bb2a8e7d,    0xbfeb23cd470013b4,     //    0.5298,  -0.84812
+    0x3fe11eb3541b4b22,    0xbfeb090a58150200,     //     0.535,  -0.84485
+    0x3fe14915af336ceb,    0xbfeaee04b43c1474,     //   0.54017,  -0.84155
+    0x3fe1734d63dedb49,    0xbfead2bc9e21d511,     //   0.54532,  -0.83822
+    0x3fe19d5a09f2b9b8,    0xbfeab7325916c0d4,     //   0.55046,  -0.83486
+    0x3fe1c73b39ae68c8,    0xbfea9b66290ea1a3,     //   0.55557,  -0.83147
+    0x3fe1f0f08bbc861b,    0xbfea7f58529fe69d,     //   0.56066,  -0.82805
+    0x3fe21a799933eb58,    0xbfea63091b02fae2,     //   0.56573,  -0.82459
+    0x3fe243d5fb98ac1f,    0xbfea4678c8119ac8,     //   0.57078,   -0.8211
+    0x3fe26d054cdd12df,    0xbfea29a7a0462782,     //   0.57581,  -0.81758
+    0x3fe2960727629ca8,    0xbfea0c95eabaf937,     //   0.58081,  -0.81404
+    0x3fe2bedb25faf3ea,    0xbfe9ef43ef29af94,     //    0.5858,  -0.81046
+    0x3fe2e780e3e8ea16,    0xbfe9d1b1f5ea80d6,     //   0.59076,  -0.80685
+    0x3fe30ff7fce17035,    0xbfe9b3e047f38741,     //    0.5957,  -0.80321
+    0x3fe338400d0c8e57,    0xbfe995cf2ed80d22,     //   0.60062,  -0.79954
+    0x3fe36058b10659f3,    0xbfe9777ef4c7d742,     //   0.60551,  -0.79584
+    0x3fe3884185dfeb22,    0xbfe958efe48e6dd7,     //   0.61038,  -0.79211
+    0x3fe3affa292050b9,    0xbfe93a22499263fc,     //   0.61523,  -0.78835
+    0x3fe3d78238c58343,    0xbfe91b166fd49da2,     //   0.62006,  -0.78456
+    0x3fe3fed9534556d4,    0xbfe8fbcca3ef940d,     //   0.62486,  -0.78074
+    0x3fe425ff178e6bb1,    0xbfe8dc45331698cc,     //   0.62964,  -0.77689
+    0x3fe44cf325091dd6,    0xbfe8bc806b151741,     //   0.63439,  -0.77301
+    0x3fe473b51b987347,    0xbfe89c7e9a4dd4ab,     //   0.63912,   -0.7691
+    0x3fe49a449b9b0938,    0xbfe87c400fba2ebf,     //   0.64383,  -0.76517
+    0x3fe4c0a145ec0004,    0xbfe85bc51ae958cc,     //   0.64851,   -0.7612
+    0x3fe4e6cabbe3e5e9,    0xbfe83b0e0bff976e,     //   0.65317,  -0.75721
+    0x3fe50cc09f59a09b,    0xbfe81a1b33b57acc,     //   0.65781,  -0.75319
+    0x3fe5328292a35596,    0xbfe7f8ece3571771,     //   0.66242,  -0.74914
+    0x3fe5581038975137,    0xbfe7d7836cc33db2,     //     0.667,  -0.74506
+    0x3fe57d69348cec9f,    0xbfe7b5df226aafb0,     //   0.67156,  -0.74095
+    0x3fe5a28d2a5d7250,    0xbfe79400574f55e4,     //   0.67609,  -0.73682
+    0x3fe5c77bbe65018c,    0xbfe771e75f037261,     //    0.6806,  -0.73265
+    0x3fe5ec3495837074,    0xbfe74f948da8d28d,     //   0.68508,  -0.72846
+    0x3fe610b7551d2cde,    0xbfe72d0837efff97,     //   0.68954,  -0.72425
+    0x3fe63503a31c1be8,    0xbfe70a42b3176d7a,     //   0.69397,     -0.72
+    0x3fe6591925f0783e,    0xbfe6e74454eaa8ae,     //   0.69838,  -0.71573
+    0x3fe67cf78491af10,    0xbfe6c40d73c18275,     //   0.70275,  -0.71143
+    0x3fe6a09e667f3bcc,    0xbfe6a09e667f3bcc,     //   0.70711,  -0.70711
+    0x3fe6c40d73c18275,    0xbfe67cf78491af10,     //   0.71143,  -0.70275
+    0x3fe6e74454eaa8ae,    0xbfe6591925f0783e,     //   0.71573,  -0.69838
+    0x3fe70a42b3176d7a,    0xbfe63503a31c1be8,     //      0.72,  -0.69397
+    0x3fe72d0837efff97,    0xbfe610b7551d2cde,     //   0.72425,  -0.68954
+    0x3fe74f948da8d28d,    0xbfe5ec3495837074,     //   0.72846,  -0.68508
+    0x3fe771e75f037261,    0xbfe5c77bbe65018c,     //   0.73265,   -0.6806
+    0x3fe79400574f55e4,    0xbfe5a28d2a5d7250,     //   0.73682,  -0.67609
+    0x3fe7b5df226aafb0,    0xbfe57d69348cec9f,     //   0.74095,  -0.67156
+    0x3fe7d7836cc33db2,    0xbfe5581038975137,     //   0.74506,    -0.667
+    0x3fe7f8ece3571771,    0xbfe5328292a35596,     //   0.74914,  -0.66242
+    0x3fe81a1b33b57acc,    0xbfe50cc09f59a09b,     //   0.75319,  -0.65781
+    0x3fe83b0e0bff976e,    0xbfe4e6cabbe3e5e9,     //   0.75721,  -0.65317
+    0x3fe85bc51ae958cc,    0xbfe4c0a145ec0004,     //    0.7612,  -0.64851
+    0x3fe87c400fba2ebf,    0xbfe49a449b9b0938,     //   0.76517,  -0.64383
+    0x3fe89c7e9a4dd4ab,    0xbfe473b51b987347,     //    0.7691,  -0.63912
+    0x3fe8bc806b151741,    0xbfe44cf325091dd6,     //   0.77301,  -0.63439
+    0x3fe8dc45331698cc,    0xbfe425ff178e6bb1,     //   0.77689,  -0.62964
+    0x3fe8fbcca3ef940d,    0xbfe3fed9534556d4,     //   0.78074,  -0.62486
+    0x3fe91b166fd49da2,    0xbfe3d78238c58343,     //   0.78456,  -0.62006
+    0x3fe93a22499263fc,    0xbfe3affa292050b9,     //   0.78835,  -0.61523
+    0x3fe958efe48e6dd7,    0xbfe3884185dfeb22,     //   0.79211,  -0.61038
+    0x3fe9777ef4c7d742,    0xbfe36058b10659f3,     //   0.79584,  -0.60551
+    0x3fe995cf2ed80d22,    0xbfe338400d0c8e57,     //   0.79954,  -0.60062
+    0x3fe9b3e047f38741,    0xbfe30ff7fce17035,     //   0.80321,   -0.5957
+    0x3fe9d1b1f5ea80d6,    0xbfe2e780e3e8ea16,     //   0.80685,  -0.59076
+    0x3fe9ef43ef29af94,    0xbfe2bedb25faf3ea,     //   0.81046,   -0.5858
+    0x3fea0c95eabaf937,    0xbfe2960727629ca8,     //   0.81404,  -0.58081
+    0x3fea29a7a0462782,    0xbfe26d054cdd12df,     //   0.81758,  -0.57581
+    0x3fea4678c8119ac8,    0xbfe243d5fb98ac1f,     //    0.8211,  -0.57078
+    0x3fea63091b02fae2,    0xbfe21a799933eb58,     //   0.82459,  -0.56573
+    0x3fea7f58529fe69d,    0xbfe1f0f08bbc861b,     //   0.82805,  -0.56066
+    0x3fea9b66290ea1a3,    0xbfe1c73b39ae68c8,     //   0.83147,  -0.55557
+    0x3feab7325916c0d4,    0xbfe19d5a09f2b9b8,     //   0.83486,  -0.55046
+    0x3fead2bc9e21d511,    0xbfe1734d63dedb49,     //   0.83822,  -0.54532
+    0x3feaee04b43c1474,    0xbfe14915af336ceb,     //   0.84155,  -0.54017
+    0x3feb090a58150200,    0xbfe11eb3541b4b22,     //   0.84485,    -0.535
+    0x3feb23cd470013b4,    0xbfe0f426bb2a8e7d,     //   0.84812,   -0.5298
+    0x3feb3e4d3ef55712,    0xbfe0c9704d5d898f,     //   0.85136,  -0.52459
+    0x3feb5889fe921405,    0xbfe09e907417c5e1,     //   0.85456,  -0.51936
+    0x3feb728345196e3e,    0xbfe073879922ffed,     //   0.85773,   -0.5141
+    0x3feb8c38d27504e9,    0xbfe0485626ae221a,     //   0.86087,  -0.50883
+    0x3feba5aa673590d2,    0xbfe01cfc874c3eb7,     //   0.86397,  -0.50354
+    0x3febbed7c49380ea,    0xbfdfe2f64be7120f,     //   0.86705,  -0.49823
+    0x3febd7c0ac6f952a,    0xbfdf8ba4dbf89aba,     //   0.87009,   -0.4929
+    0x3febf064e15377dd,    0xbfdf3405963fd068,     //   0.87309,  -0.48755
+    0x3fec08c426725549,    0xbfdedc1952ef78d5,     //   0.87607,  -0.48218
+    0x3fec20de3fa971b0,    0xbfde83e0eaf85113,     //   0.87901,   -0.4768
+    0x3fec38b2f180bdb1,    0xbfde2b5d3806f63b,     //   0.88192,   -0.4714
+    0x3fec5042012b6907,    0xbfddd28f1481cc58,     //    0.8848,  -0.46598
+    0x3fec678b3488739b,    0xbfdd79775b86e389,     //   0.88764,  -0.46054
+    0x3fec7e8e52233cf3,    0xbfdd2016e8e9db5b,     //   0.89045,  -0.45508
+    0x3fec954b213411f5,    0xbfdcc66e9931c45d,     //   0.89322,  -0.44961
+    0x3fecabc169a0b901,    0xbfdc6c7f4997000a,     //   0.89597,  -0.44412
+    0x3fecc1f0f3fcfc5c,    0xbfdc1249d8011ee7,     //   0.89867,  -0.43862
+    0x3fecd7d9898b32f6,    0xbfdbb7cf2304bd01,     //   0.90135,  -0.43309
+    0x3feced7af43cc773,    0xbfdb5d1009e15cc0,     //   0.90399,  -0.42756
+    0x3fed02d4feb2bd92,    0xbfdb020d6c7f4009,     //    0.9066,    -0.422
+    0x3fed17e7743e35dc,    0xbfdaa6c82b6d3fc9,     //   0.90917,  -0.41643
+    0x3fed2cb220e0ef9f,    0xbfda4b4127dea1e4,     //   0.91171,  -0.41084
+    0x3fed4134d14dc93a,    0xbfd9ef7943a8ed8a,     //   0.91421,  -0.40524
+    0x3fed556f52e93eb1,    0xbfd993716141bdfe,     //   0.91668,  -0.39962
+    0x3fed696173c9e68b,    0xbfd9372a63bc93d7,     //   0.91911,  -0.39399
+    0x3fed7d0b02b8ecf9,    0xbfd8daa52ec8a4af,     //   0.92151,  -0.38835
+    0x3fed906bcf328d46,    0xbfd87de2a6aea963,     //   0.92388,  -0.38268
+    0x3feda383a9668988,    0xbfd820e3b04eaac4,     //   0.92621,  -0.37701
+    0x3fedb6526238a09b,    0xbfd7c3a9311dcce7,     //   0.92851,  -0.37132
+    0x3fedc8d7cb410260,    0xbfd766340f2418f6,     //   0.93077,  -0.36561
+    0x3feddb13b6ccc23d,    0xbfd7088530fa459e,     //   0.93299,   -0.3599
+    0x3feded05f7de47da,    0xbfd6aa9d7dc77e16,     //   0.93518,  -0.35416
+    0x3fedfeae622dbe2b,    0xbfd64c7ddd3f27c6,     //   0.93734,  -0.34842
+    0x3fee100cca2980ac,    0xbfd5ee27379ea693,     //   0.93946,  -0.34266
+    0x3fee212104f686e5,    0xbfd58f9a75ab1fdd,     //   0.94154,  -0.33689
+    0x3fee31eae870ce25,    0xbfd530d880af3c24,     //   0.94359,  -0.33111
+    0x3fee426a4b2bc17e,    0xbfd4d1e24278e76a,     //   0.94561,  -0.32531
+    0x3fee529f04729ffc,    0xbfd472b8a5571054,     //   0.94759,   -0.3195
+    0x3fee6288ec48e112,    0xbfd4135c94176602,     //   0.94953,  -0.31368
+    0x3fee7227db6a9744,    0xbfd3b3cefa0414b7,     //   0.95144,  -0.30785
+    0x3fee817bab4cd10d,    0xbfd35410c2e18152,     //   0.95331,  -0.30201
+    0x3fee9084361df7f3,    0xbfd2f422daec0386,     //   0.95514,  -0.29615
+    0x3fee9f4156c62dda,    0xbfd294062ed59f05,     //   0.95694,  -0.29028
+    0x3feeadb2e8e7a88e,    0xbfd233bbabc3bb72,     //    0.9587,  -0.28441
+    0x3feebbd8c8df0b74,    0xbfd1d3443f4cdb3d,     //   0.96043,  -0.27852
+    0x3feec9b2d3c3bf84,    0xbfd172a0d7765177,     //   0.96212,  -0.27262
+    0x3feed740e7684963,    0xbfd111d262b1f677,     //   0.96378,  -0.26671
+    0x3feee482e25a9dbc,    0xbfd0b0d9cfdbdb90,     //   0.96539,  -0.26079
+    0x3feef178a3e473c2,    0xbfd04fb80e37fdae,     //   0.96698,  -0.25487
+    0x3feefe220c0b95ec,    0xbfcfdcdc1adfedf8,     //   0.96852,  -0.24893
+    0x3fef0a7efb9230d7,    0xbfcf19f97b215f1a,     //   0.97003,  -0.24298
+    0x3fef168f53f7205d,    0xbfce56ca1e101a1b,     //    0.9715,  -0.23702
+    0x3fef2252f7763ada,    0xbfcd934fe5454311,     //   0.97294,  -0.23106
+    0x3fef2dc9c9089a9d,    0xbfcccf8cb312b286,     //   0.97434,  -0.22508
+    0x3fef38f3ac64e589,    0xbfcc0b826a7e4f63,     //    0.9757,   -0.2191
+    0x3fef43d085ff92dd,    0xbfcb4732ef3d6722,     //   0.97703,  -0.21311
+    0x3fef4e603b0b2f2d,    0xbfca82a025b00451,     //   0.97832,  -0.20711
+    0x3fef58a2b1789e84,    0xbfc9bdcbf2dc4366,     //   0.97957,   -0.2011
+    0x3fef6297cff75cb0,    0xbfc8f8b83c69a60a,     //   0.98079,  -0.19509
+    0x3fef6c3f7df5bbb7,    0xbfc83366e89c64c5,     //   0.98196,  -0.18907
+    0x3fef7599a3a12077,    0xbfc76dd9de50bf31,     //   0.98311,  -0.18304
+    0x3fef7ea629e63d6e,    0xbfc6a81304f64ab2,     //   0.98421,    -0.177
+    0x3fef8764fa714ba9,    0xbfc5e214448b3fc6,     //   0.98528,  -0.17096
+    0x3fef8fd5ffae41db,    0xbfc51bdf8597c5f2,     //   0.98631,  -0.16491
+    0x3fef97f924c9099b,    0xbfc45576b1293e5a,     //    0.9873,  -0.15886
+    0x3fef9fce55adb2c8,    0xbfc38edbb0cd8d14,     //   0.98826,   -0.1528
+    0x3fefa7557f08a517,    0xbfc2c8106e8e613a,     //   0.98918,  -0.14673
+    0x3fefae8e8e46cfbb,    0xbfc20116d4ec7bce,     //   0.99006,  -0.14066
+    0x3fefb5797195d741,    0xbfc139f0cedaf576,     //    0.9909,  -0.13458
+    0x3fefbc1617e44186,    0xbfc072a047ba831d,     //   0.99171,   -0.1285
+    0x3fefc26470e19fd3,    0xbfbf564e56a9730e,     //   0.99248,  -0.12241
+    0x3fefc8646cfeb721,    0xbfbdc70ecbae9fc8,     //   0.99321,  -0.11632
+    0x3fefce15fd6da67b,    0xbfbc3785c79ec2d5,     //   0.99391,  -0.11022
+    0x3fefd37914220b84,    0xbfbaa7b724495c04,     //   0.99456,  -0.10412
+    0x3fefd88da3d12526,    0xbfb917a6bc29b42c,     //   0.99518, -0.098017
+    0x3fefdd539ff1f456,    0xbfb787586a5d5b21,     //   0.99577, -0.091909
+    0x3fefe1cafcbd5b09,    0xbfb5f6d00a9aa419,     //   0.99631, -0.085797
+    0x3fefe5f3af2e3940,    0xbfb4661179272096,     //   0.99682, -0.079682
+    0x3fefe9cdad01883a,    0xbfb2d52092ce19f6,     //   0.99729, -0.073565
+    0x3fefed58ecb673c4,    0xbfb1440134d709b2,     //   0.99772, -0.067444
+    0x3feff095658e71ad,    0xbfaf656e79f820e0,     //   0.99812, -0.061321
+    0x3feff3830f8d575c,    0xbfac428d12c0d7e3,     //   0.99848, -0.055195
+    0x3feff621e3796d7e,    0xbfa91f65f10dd814,     //    0.9988, -0.049068
+    0x3feff871dadb81df,    0xbfa5fc00d290cd43,     //   0.99908, -0.042938
+    0x3feffa72effef75d,    0xbfa2d865759455cd,     //   0.99932, -0.036807
+    0x3feffc251df1d3f8,    0xbf9f693731d1cf01,     //   0.99953, -0.030675
+    0x3feffd886084cd0d,    0xbf992155f7a3667e,     //    0.9997, -0.024541
+    0x3feffe9cb44b51a1,    0xbf92d936bbe30efd,     //   0.99983, -0.018407
+    0x3fefff62169b92db,    0xbf8921d1fcdec784,     //   0.99992, -0.012272
+    0x3fefffd8858e8a92,    0xbf7921f0fe670071,     //   0.99998,-0.0061359
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_2048)
+/**
+  @par
+  Example code for Double Precision Floating-point Twiddle factors Generation:
+  @par
+  <pre>for (i = 0; i< N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  } </pre>
+  @par
+  where N = 2048, PI = 3.14159265358979
+  @par
+  Cos and Sin values are in interleaved fashion
+*/
+const uint64_t twiddleCoefF64_2048[4096] = {
+    0x3ff0000000000000,     0x0000000000000000,     //         1,         0
+    0x3feffff621621d02,     0x3f6921f8becca4ba,     //         1,  0.003068
+    0x3fefffd8858e8a92,     0x3f7921f0fe670071,     //   0.99998, 0.0061359
+    0x3fefffa72c978c4f,     0x3f82d96b0e509703,     //   0.99996, 0.0092038
+    0x3fefff62169b92db,     0x3f8921d1fcdec784,     //   0.99992,  0.012272
+    0x3fefff0943c53bd1,     0x3f8f6a296ab997ca,     //   0.99988,  0.015339
+    0x3feffe9cb44b51a1,     0x3f92d936bbe30efd,     //   0.99983,  0.018407
+    0x3feffe1c6870cb77,     0x3f95fd4d21fab226,     //   0.99977,  0.021474
+    0x3feffd886084cd0d,     0x3f992155f7a3667e,     //    0.9997,  0.024541
+    0x3feffce09ce2a679,     0x3f9c454f4ce53b1c,     //   0.99962,  0.027608
+    0x3feffc251df1d3f8,     0x3f9f693731d1cf01,     //   0.99953,  0.030675
+    0x3feffb55e425fdae,     0x3fa14685db42c17e,     //   0.99943,  0.033741
+    0x3feffa72effef75d,     0x3fa2d865759455cd,     //   0.99932,  0.036807
+    0x3feff97c4208c014,     0x3fa46a396ff86179,     //    0.9992,  0.039873
+    0x3feff871dadb81df,     0x3fa5fc00d290cd43,     //   0.99908,  0.042938
+    0x3feff753bb1b9164,     0x3fa78dbaa5874685,     //   0.99894,  0.046003
+    0x3feff621e3796d7e,     0x3fa91f65f10dd814,     //    0.9988,  0.049068
+    0x3feff4dc54b1bed3,     0x3faab101bd5f8317,     //   0.99864,  0.052132
+    0x3feff3830f8d575c,     0x3fac428d12c0d7e3,     //   0.99848,  0.055195
+    0x3feff21614e131ed,     0x3fadd406f9808ec8,     //    0.9983,  0.058258
+    0x3feff095658e71ad,     0x3faf656e79f820e0,     //   0.99812,  0.061321
+    0x3fefef0102826191,     0x3fb07b614e463064,     //   0.99793,  0.064383
+    0x3fefed58ecb673c4,     0x3fb1440134d709b2,     //   0.99772,  0.067444
+    0x3fefeb9d2530410f,     0x3fb20c9674ed444c,     //   0.99751,  0.070505
+    0x3fefe9cdad01883a,     0x3fb2d52092ce19f6,     //   0.99729,  0.073565
+    0x3fefe7ea85482d60,     0x3fb39d9f12c5a299,     //   0.99706,  0.076624
+    0x3fefe5f3af2e3940,     0x3fb4661179272096,     //   0.99682,  0.079682
+    0x3fefe3e92be9d886,     0x3fb52e774a4d4d0a,     //   0.99657,   0.08274
+    0x3fefe1cafcbd5b09,     0x3fb5f6d00a9aa419,     //   0.99631,  0.085797
+    0x3fefdf9922f73307,     0x3fb6bf1b3e79b129,     //   0.99604,  0.088854
+    0x3fefdd539ff1f456,     0x3fb787586a5d5b21,     //   0.99577,  0.091909
+    0x3fefdafa7514538c,     0x3fb84f8712c130a0,     //   0.99548,  0.094963
+    0x3fefd88da3d12526,     0x3fb917a6bc29b42c,     //   0.99518,  0.098017
+    0x3fefd60d2da75c9e,     0x3fb9dfb6eb24a85c,     //   0.99488,   0.10107
+    0x3fefd37914220b84,     0x3fbaa7b724495c04,     //   0.99456,   0.10412
+    0x3fefd0d158d86087,     0x3fbb6fa6ec38f64c,     //   0.99424,   0.10717
+    0x3fefce15fd6da67b,     0x3fbc3785c79ec2d5,     //   0.99391,   0.11022
+    0x3fefcb4703914354,     0x3fbcff533b307dc1,     //   0.99356,   0.11327
+    0x3fefc8646cfeb721,     0x3fbdc70ecbae9fc8,     //   0.99321,   0.11632
+    0x3fefc56e3b7d9af6,     0x3fbe8eb7fde4aa3e,     //   0.99285,   0.11937
+    0x3fefc26470e19fd3,     0x3fbf564e56a9730e,     //   0.99248,   0.12241
+    0x3fefbf470f0a8d88,     0x3fc00ee8ad6fb85b,     //    0.9921,   0.12545
+    0x3fefbc1617e44186,     0x3fc072a047ba831d,     //   0.99171,    0.1285
+    0x3fefb8d18d66adb7,     0x3fc0d64dbcb26786,     //   0.99131,   0.13154
+    0x3fefb5797195d741,     0x3fc139f0cedaf576,     //    0.9909,   0.13458
+    0x3fefb20dc681d54d,     0x3fc19d8940be24e7,     //   0.99049,   0.13762
+    0x3fefae8e8e46cfbb,     0x3fc20116d4ec7bce,     //   0.99006,   0.14066
+    0x3fefaafbcb0cfddc,     0x3fc264994dfd340a,     //   0.98962,    0.1437
+    0x3fefa7557f08a517,     0x3fc2c8106e8e613a,     //   0.98918,   0.14673
+    0x3fefa39bac7a1791,     0x3fc32b7bf94516a7,     //   0.98872,   0.14976
+    0x3fef9fce55adb2c8,     0x3fc38edbb0cd8d14,     //   0.98826,    0.1528
+    0x3fef9bed7cfbde29,     0x3fc3f22f57db4893,     //   0.98778,   0.15583
+    0x3fef97f924c9099b,     0x3fc45576b1293e5a,     //    0.9873,   0.15886
+    0x3fef93f14f85ac08,     0x3fc4b8b17f79fa88,     //   0.98681,   0.16189
+    0x3fef8fd5ffae41db,     0x3fc51bdf8597c5f2,     //   0.98631,   0.16491
+    0x3fef8ba737cb4b78,     0x3fc57f008654cbde,     //    0.9858,   0.16794
+    0x3fef8764fa714ba9,     0x3fc5e214448b3fc6,     //   0.98528,   0.17096
+    0x3fef830f4a40c60c,     0x3fc6451a831d830d,     //   0.98475,   0.17398
+    0x3fef7ea629e63d6e,     0x3fc6a81304f64ab2,     //   0.98421,     0.177
+    0x3fef7a299c1a322a,     0x3fc70afd8d08c4ff,     //   0.98366,   0.18002
+    0x3fef7599a3a12077,     0x3fc76dd9de50bf31,     //   0.98311,   0.18304
+    0x3fef70f6434b7eb7,     0x3fc7d0a7bbd2cb1b,     //   0.98254,   0.18606
+    0x3fef6c3f7df5bbb7,     0x3fc83366e89c64c5,     //   0.98196,   0.18907
+    0x3fef677556883cee,     0x3fc8961727c41804,     //   0.98138,   0.19208
+    0x3fef6297cff75cb0,     0x3fc8f8b83c69a60a,     //   0.98079,   0.19509
+    0x3fef5da6ed43685d,     0x3fc95b49e9b62af9,     //   0.98018,    0.1981
+    0x3fef58a2b1789e84,     0x3fc9bdcbf2dc4366,     //   0.97957,    0.2011
+    0x3fef538b1faf2d07,     0x3fca203e1b1831da,     //   0.97895,   0.20411
+    0x3fef4e603b0b2f2d,     0x3fca82a025b00451,     //   0.97832,   0.20711
+    0x3fef492206bcabb4,     0x3fcae4f1d5f3b9ab,     //   0.97768,   0.21011
+    0x3fef43d085ff92dd,     0x3fcb4732ef3d6722,     //   0.97703,   0.21311
+    0x3fef3e6bbc1bbc65,     0x3fcba96334f15dad,     //   0.97637,   0.21611
+    0x3fef38f3ac64e589,     0x3fcc0b826a7e4f63,     //    0.9757,    0.2191
+    0x3fef33685a3aaef0,     0x3fcc6d90535d74dc,     //   0.97503,   0.22209
+    0x3fef2dc9c9089a9d,     0x3fcccf8cb312b286,     //   0.97434,   0.22508
+    0x3fef2817fc4609ce,     0x3fcd31774d2cbdee,     //   0.97364,   0.22807
+    0x3fef2252f7763ada,     0x3fcd934fe5454311,     //   0.97294,   0.23106
+    0x3fef1c7abe284708,     0x3fcdf5163f01099a,     //   0.97223,   0.23404
+    0x3fef168f53f7205d,     0x3fce56ca1e101a1b,     //    0.9715,   0.23702
+    0x3fef1090bc898f5f,     0x3fceb86b462de348,     //   0.97077,      0.24
+    0x3fef0a7efb9230d7,     0x3fcf19f97b215f1a,     //   0.97003,   0.24298
+    0x3fef045a14cf738c,     0x3fcf7b7480bd3801,     //   0.96928,   0.24596
+    0x3feefe220c0b95ec,     0x3fcfdcdc1adfedf8,     //   0.96852,   0.24893
+    0x3feef7d6e51ca3c0,     0x3fd01f1806b9fdd2,     //   0.96775,    0.2519
+    0x3feef178a3e473c2,     0x3fd04fb80e37fdae,     //   0.96698,   0.25487
+    0x3feeeb074c50a544,     0x3fd0804e05eb661e,     //   0.96619,   0.25783
+    0x3feee482e25a9dbc,     0x3fd0b0d9cfdbdb90,     //   0.96539,   0.26079
+    0x3feeddeb6a078651,     0x3fd0e15b4e1749cd,     //   0.96459,   0.26375
+    0x3feed740e7684963,     0x3fd111d262b1f677,     //   0.96378,   0.26671
+    0x3feed0835e999009,     0x3fd1423eefc69378,     //   0.96295,   0.26967
+    0x3feec9b2d3c3bf84,     0x3fd172a0d7765177,     //   0.96212,   0.27262
+    0x3feec2cf4b1af6b2,     0x3fd1a2f7fbe8f243,     //   0.96128,   0.27557
+    0x3feebbd8c8df0b74,     0x3fd1d3443f4cdb3d,     //   0.96043,   0.27852
+    0x3feeb4cf515b8811,     0x3fd2038583d727bd,     //   0.95957,   0.28146
+    0x3feeadb2e8e7a88e,     0x3fd233bbabc3bb72,     //    0.9587,   0.28441
+    0x3feea68393e65800,     0x3fd263e6995554ba,     //   0.95783,   0.28735
+    0x3fee9f4156c62dda,     0x3fd294062ed59f05,     //   0.95694,   0.29028
+    0x3fee97ec36016b30,     0x3fd2c41a4e954520,     //   0.95605,   0.29322
+    0x3fee9084361df7f3,     0x3fd2f422daec0386,     //   0.95514,   0.29615
+    0x3fee89095bad6025,     0x3fd3241fb638baaf,     //   0.95423,   0.29908
+    0x3fee817bab4cd10d,     0x3fd35410c2e18152,     //   0.95331,   0.30201
+    0x3fee79db29a5165a,     0x3fd383f5e353b6aa,     //   0.95238,   0.30493
+    0x3fee7227db6a9744,     0x3fd3b3cefa0414b7,     //   0.95144,   0.30785
+    0x3fee6a61c55d53a7,     0x3fd3e39be96ec271,     //   0.95049,   0.31077
+    0x3fee6288ec48e112,     0x3fd4135c94176602,     //   0.94953,   0.31368
+    0x3fee5a9d550467d3,     0x3fd44310dc8936f0,     //   0.94856,   0.31659
+    0x3fee529f04729ffc,     0x3fd472b8a5571054,     //   0.94759,    0.3195
+    0x3fee4a8dff81ce5e,     0x3fd4a253d11b82f3,     //    0.9466,   0.32241
+    0x3fee426a4b2bc17e,     0x3fd4d1e24278e76a,     //   0.94561,   0.32531
+    0x3fee3a33ec75ce85,     0x3fd50163dc197047,     //    0.9446,   0.32821
+    0x3fee31eae870ce25,     0x3fd530d880af3c24,     //   0.94359,   0.33111
+    0x3fee298f4439197a,     0x3fd5604012f467b4,     //   0.94257,     0.334
+    0x3fee212104f686e5,     0x3fd58f9a75ab1fdd,     //   0.94154,   0.33689
+    0x3fee18a02fdc66d9,     0x3fd5bee78b9db3b6,     //   0.94051,   0.33978
+    0x3fee100cca2980ac,     0x3fd5ee27379ea693,     //   0.93946,   0.34266
+    0x3fee0766d9280f54,     0x3fd61d595c88c203,     //    0.9384,   0.34554
+    0x3fedfeae622dbe2b,     0x3fd64c7ddd3f27c6,     //   0.93734,   0.34842
+    0x3fedf5e36a9ba59c,     0x3fd67b949cad63ca,     //   0.93627,   0.35129
+    0x3feded05f7de47da,     0x3fd6aa9d7dc77e16,     //   0.93518,   0.35416
+    0x3fede4160f6d8d81,     0x3fd6d998638a0cb5,     //   0.93409,   0.35703
+    0x3feddb13b6ccc23d,     0x3fd7088530fa459e,     //   0.93299,    0.3599
+    0x3fedd1fef38a915a,     0x3fd73763c9261092,     //   0.93188,   0.36276
+    0x3fedc8d7cb410260,     0x3fd766340f2418f6,     //   0.93077,   0.36561
+    0x3fedbf9e4395759a,     0x3fd794f5e613dfae,     //   0.92964,   0.36847
+    0x3fedb6526238a09b,     0x3fd7c3a9311dcce7,     //   0.92851,   0.37132
+    0x3fedacf42ce68ab9,     0x3fd7f24dd37341e3,     //   0.92736,   0.37416
+    0x3feda383a9668988,     0x3fd820e3b04eaac4,     //   0.92621,   0.37701
+    0x3fed9a00dd8b3d46,     0x3fd84f6aaaf3903f,     //   0.92505,   0.37985
+    0x3fed906bcf328d46,     0x3fd87de2a6aea963,     //   0.92388,   0.38268
+    0x3fed86c48445a450,     0x3fd8ac4b86d5ed44,     //    0.9227,   0.38552
+    0x3fed7d0b02b8ecf9,     0x3fd8daa52ec8a4af,     //   0.92151,   0.38835
+    0x3fed733f508c0dff,     0x3fd908ef81ef7bd1,     //   0.92032,   0.39117
+    0x3fed696173c9e68b,     0x3fd9372a63bc93d7,     //   0.91911,   0.39399
+    0x3fed5f7172888a7f,     0x3fd96555b7ab948f,     //    0.9179,   0.39681
+    0x3fed556f52e93eb1,     0x3fd993716141bdfe,     //   0.91668,   0.39962
+    0x3fed4b5b1b187524,     0x3fd9c17d440df9f2,     //   0.91545,   0.40243
+    0x3fed4134d14dc93a,     0x3fd9ef7943a8ed8a,     //   0.91421,   0.40524
+    0x3fed36fc7bcbfbdc,     0x3fda1d6543b50ac0,     //   0.91296,   0.40804
+    0x3fed2cb220e0ef9f,     0x3fda4b4127dea1e4,     //   0.91171,   0.41084
+    0x3fed2255c6e5a4e1,     0x3fda790cd3dbf31a,     //   0.91044,   0.41364
+    0x3fed17e7743e35dc,     0x3fdaa6c82b6d3fc9,     //   0.90917,   0.41643
+    0x3fed0d672f59d2b9,     0x3fdad473125cdc08,     //   0.90789,   0.41922
+    0x3fed02d4feb2bd92,     0x3fdb020d6c7f4009,     //    0.9066,     0.422
+    0x3fecf830e8ce467b,     0x3fdb2f971db31972,     //    0.9053,   0.42478
+    0x3feced7af43cc773,     0x3fdb5d1009e15cc0,     //   0.90399,   0.42756
+    0x3fece2b32799a060,     0x3fdb8a7814fd5693,     //   0.90267,   0.43033
+    0x3fecd7d9898b32f6,     0x3fdbb7cf2304bd01,     //   0.90135,   0.43309
+    0x3fecccee20c2de9f,     0x3fdbe51517ffc0d9,     //   0.90002,   0.43586
+    0x3fecc1f0f3fcfc5c,     0x3fdc1249d8011ee7,     //   0.89867,   0.43862
+    0x3fecb6e20a00da99,     0x3fdc3f6d47263129,     //   0.89732,   0.44137
+    0x3fecabc169a0b901,     0x3fdc6c7f4997000a,     //   0.89597,   0.44412
+    0x3feca08f19b9c449,     0x3fdc997fc3865388,     //    0.8946,   0.44687
+    0x3fec954b213411f5,     0x3fdcc66e9931c45d,     //   0.89322,   0.44961
+    0x3fec89f587029c13,     0x3fdcf34baee1cd21,     //   0.89184,   0.45235
+    0x3fec7e8e52233cf3,     0x3fdd2016e8e9db5b,     //   0.89045,   0.45508
+    0x3fec7315899eaad7,     0x3fdd4cd02ba8609c,     //   0.88905,   0.45781
+    0x3fec678b3488739b,     0x3fdd79775b86e389,     //   0.88764,   0.46054
+    0x3fec5bef59fef85a,     0x3fdda60c5cfa10d8,     //   0.88622,   0.46326
+    0x3fec5042012b6907,     0x3fddd28f1481cc58,     //    0.8848,   0.46598
+    0x3fec44833141c004,     0x3fddfeff66a941de,     //   0.88336,   0.46869
+    0x3fec38b2f180bdb1,     0x3fde2b5d3806f63b,     //   0.88192,    0.4714
+    0x3fec2cd14931e3f1,     0x3fde57a86d3cd824,     //   0.88047,    0.4741
+    0x3fec20de3fa971b0,     0x3fde83e0eaf85113,     //   0.87901,    0.4768
+    0x3fec14d9dc465e58,     0x3fdeb00695f25620,     //   0.87755,   0.47949
+    0x3fec08c426725549,     0x3fdedc1952ef78d5,     //   0.87607,   0.48218
+    0x3febfc9d25a1b147,     0x3fdf081906bff7fd,     //   0.87459,   0.48487
+    0x3febf064e15377dd,     0x3fdf3405963fd068,     //   0.87309,   0.48755
+    0x3febe41b611154c1,     0x3fdf5fdee656cda3,     //    0.8716,   0.49023
+    0x3febd7c0ac6f952a,     0x3fdf8ba4dbf89aba,     //   0.87009,    0.4929
+    0x3febcb54cb0d2327,     0x3fdfb7575c24d2de,     //   0.86857,   0.49557
+    0x3febbed7c49380ea,     0x3fdfe2f64be7120f,     //   0.86705,   0.49823
+    0x3febb249a0b6c40d,     0x3fe00740c82b82e0,     //   0.86551,   0.50089
+    0x3feba5aa673590d2,     0x3fe01cfc874c3eb7,     //   0.86397,   0.50354
+    0x3feb98fa1fd9155e,     0x3fe032ae55edbd95,     //   0.86242,   0.50619
+    0x3feb8c38d27504e9,     0x3fe0485626ae221a,     //   0.86087,   0.50883
+    0x3feb7f6686e792ea,     0x3fe05df3ec31b8b6,     //    0.8593,   0.51147
+    0x3feb728345196e3e,     0x3fe073879922ffed,     //   0.85773,    0.5141
+    0x3feb658f14fdbc47,     0x3fe089112032b08c,     //   0.85615,   0.51673
+    0x3feb5889fe921405,     0x3fe09e907417c5e1,     //   0.85456,   0.51936
+    0x3feb4b7409de7925,     0x3fe0b405878f85ec,     //   0.85296,   0.52198
+    0x3feb3e4d3ef55712,     0x3fe0c9704d5d898f,     //   0.85136,   0.52459
+    0x3feb3115a5f37bf4,     0x3fe0ded0b84bc4b5,     //   0.84974,    0.5272
+    0x3feb23cd470013b4,     0x3fe0f426bb2a8e7d,     //   0.84812,    0.5298
+    0x3feb16742a4ca2f5,     0x3fe1097248d0a956,     //   0.84649,    0.5324
+    0x3feb090a58150200,     0x3fe11eb3541b4b22,     //   0.84485,     0.535
+    0x3feafb8fd89f57b6,     0x3fe133e9cfee254e,     //   0.84321,   0.53759
+    0x3feaee04b43c1474,     0x3fe14915af336ceb,     //   0.84155,   0.54017
+    0x3feae068f345ecef,     0x3fe15e36e4dbe2bc,     //   0.83989,   0.54275
+    0x3fead2bc9e21d511,     0x3fe1734d63dedb49,     //   0.83822,   0.54532
+    0x3feac4ffbd3efac8,     0x3fe188591f3a46e5,     //   0.83655,   0.54789
+    0x3feab7325916c0d4,     0x3fe19d5a09f2b9b8,     //   0.83486,   0.55046
+    0x3feaa9547a2cb98e,     0x3fe1b250171373be,     //   0.83317,   0.55302
+    0x3fea9b66290ea1a3,     0x3fe1c73b39ae68c8,     //   0.83147,   0.55557
+    0x3fea8d676e545ad2,     0x3fe1dc1b64dc4872,     //   0.82976,   0.55812
+    0x3fea7f58529fe69d,     0x3fe1f0f08bbc861b,     //   0.82805,   0.56066
+    0x3fea7138de9d60f5,     0x3fe205baa17560d6,     //   0.82632,    0.5632
+    0x3fea63091b02fae2,     0x3fe21a799933eb58,     //   0.82459,   0.56573
+    0x3fea54c91090f524,     0x3fe22f2d662c13e1,     //   0.82285,   0.56826
+    0x3fea4678c8119ac8,     0x3fe243d5fb98ac1f,     //    0.8211,   0.57078
+    0x3fea38184a593bc6,     0x3fe258734cbb7110,     //   0.81935,    0.5733
+    0x3fea29a7a0462782,     0x3fe26d054cdd12df,     //   0.81758,   0.57581
+    0x3fea1b26d2c0a75e,     0x3fe2818bef4d3cba,     //   0.81581,   0.57831
+    0x3fea0c95eabaf937,     0x3fe2960727629ca8,     //   0.81404,   0.58081
+    0x3fe9fdf4f13149de,     0x3fe2aa76e87aeb58,     //   0.81225,   0.58331
+    0x3fe9ef43ef29af94,     0x3fe2bedb25faf3ea,     //   0.81046,    0.5858
+    0x3fe9e082edb42472,     0x3fe2d333d34e9bb7,     //   0.80866,   0.58828
+    0x3fe9d1b1f5ea80d6,     0x3fe2e780e3e8ea16,     //   0.80685,   0.59076
+    0x3fe9c2d110f075c3,     0x3fe2fbc24b441015,     //   0.80503,   0.59323
+    0x3fe9b3e047f38741,     0x3fe30ff7fce17035,     //   0.80321,    0.5957
+    0x3fe9a4dfa42b06b2,     0x3fe32421ec49a620,     //   0.80138,   0.59816
+    0x3fe995cf2ed80d22,     0x3fe338400d0c8e57,     //   0.79954,   0.60062
+    0x3fe986aef1457594,     0x3fe34c5252c14de1,     //   0.79769,   0.60307
+    0x3fe9777ef4c7d742,     0x3fe36058b10659f3,     //   0.79584,   0.60551
+    0x3fe9683f42bd7fe1,     0x3fe374531b817f8d,     //   0.79398,   0.60795
+    0x3fe958efe48e6dd7,     0x3fe3884185dfeb22,     //   0.79211,   0.61038
+    0x3fe94990e3ac4a6c,     0x3fe39c23e3d63029,     //   0.79023,   0.61281
+    0x3fe93a22499263fc,     0x3fe3affa292050b9,     //   0.78835,   0.61523
+    0x3fe92aa41fc5a815,     0x3fe3c3c44981c517,     //   0.78646,   0.61765
+    0x3fe91b166fd49da2,     0x3fe3d78238c58343,     //   0.78456,   0.62006
+    0x3fe90b7943575efe,     0x3fe3eb33eabe0680,     //   0.78265,   0.62246
+    0x3fe8fbcca3ef940d,     0x3fe3fed9534556d4,     //   0.78074,   0.62486
+    0x3fe8ec109b486c49,     0x3fe41272663d108c,     //   0.77882,   0.62725
+    0x3fe8dc45331698cc,     0x3fe425ff178e6bb1,     //   0.77689,   0.62964
+    0x3fe8cc6a75184655,     0x3fe4397f5b2a4380,     //   0.77495,   0.63202
+    0x3fe8bc806b151741,     0x3fe44cf325091dd6,     //   0.77301,   0.63439
+    0x3fe8ac871ede1d88,     0x3fe4605a692b32a2,     //   0.77106,   0.63676
+    0x3fe89c7e9a4dd4ab,     0x3fe473b51b987347,     //    0.7691,   0.63912
+    0x3fe88c66e7481ba1,     0x3fe48703306091fe,     //   0.76714,   0.64148
+    0x3fe87c400fba2ebf,     0x3fe49a449b9b0938,     //   0.76517,   0.64383
+    0x3fe86c0a1d9aa195,     0x3fe4ad79516722f0,     //   0.76319,   0.64618
+    0x3fe85bc51ae958cc,     0x3fe4c0a145ec0004,     //    0.7612,   0.64851
+    0x3fe84b7111af83f9,     0x3fe4d3bc6d589f80,     //   0.75921,   0.65085
+    0x3fe83b0e0bff976e,     0x3fe4e6cabbe3e5e9,     //   0.75721,   0.65317
+    0x3fe82a9c13f545ff,     0x3fe4f9cc25cca486,     //    0.7552,   0.65549
+    0x3fe81a1b33b57acc,     0x3fe50cc09f59a09b,     //   0.75319,   0.65781
+    0x3fe8098b756e52fa,     0x3fe51fa81cd99aa6,     //   0.75117,   0.66011
+    0x3fe7f8ece3571771,     0x3fe5328292a35596,     //   0.74914,   0.66242
+    0x3fe7e83f87b03686,     0x3fe5454ff5159dfb,     //    0.7471,   0.66471
+    0x3fe7d7836cc33db2,     0x3fe5581038975137,     //   0.74506,     0.667
+    0x3fe7c6b89ce2d333,     0x3fe56ac35197649e,     //   0.74301,   0.66928
+    0x3fe7b5df226aafb0,     0x3fe57d69348cec9f,     //   0.74095,   0.67156
+    0x3fe7a4f707bf97d2,     0x3fe59001d5f723df,     //   0.73889,   0.67383
+    0x3fe79400574f55e4,     0x3fe5a28d2a5d7250,     //   0.73682,   0.67609
+    0x3fe782fb1b90b35b,     0x3fe5b50b264f7448,     //   0.73474,   0.67835
+    0x3fe771e75f037261,     0x3fe5c77bbe65018c,     //   0.73265,    0.6806
+    0x3fe760c52c304764,     0x3fe5d9dee73e345c,     //   0.73056,   0.68285
+    0x3fe74f948da8d28d,     0x3fe5ec3495837074,     //   0.72846,   0.68508
+    0x3fe73e558e079942,     0x3fe5fe7cbde56a0f,     //   0.72636,   0.68732
+    0x3fe72d0837efff97,     0x3fe610b7551d2cde,     //   0.72425,   0.68954
+    0x3fe71bac960e41bf,     0x3fe622e44fec22ff,     //   0.72213,   0.69176
+    0x3fe70a42b3176d7a,     0x3fe63503a31c1be8,     //      0.72,   0.69397
+    0x3fe6f8ca99c95b75,     0x3fe64715437f535b,     //   0.71787,   0.69618
+    0x3fe6e74454eaa8ae,     0x3fe6591925f0783e,     //   0.71573,   0.69838
+    0x3fe6d5afef4aafcc,     0x3fe66b0f3f52b386,     //   0.71358,   0.70057
+    0x3fe6c40d73c18275,     0x3fe67cf78491af10,     //   0.71143,   0.70275
+    0x3fe6b25ced2fe29c,     0x3fe68ed1eaa19c71,     //   0.70927,   0.70493
+    0x3fe6a09e667f3bcc,     0x3fe6a09e667f3bcc,     //   0.70711,   0.70711
+    0x3fe68ed1eaa19c71,     0x3fe6b25ced2fe29c,     //   0.70493,   0.70927
+    0x3fe67cf78491af10,     0x3fe6c40d73c18275,     //   0.70275,   0.71143
+    0x3fe66b0f3f52b386,     0x3fe6d5afef4aafcc,     //   0.70057,   0.71358
+    0x3fe6591925f0783e,     0x3fe6e74454eaa8ae,     //   0.69838,   0.71573
+    0x3fe64715437f535b,     0x3fe6f8ca99c95b75,     //   0.69618,   0.71787
+    0x3fe63503a31c1be8,     0x3fe70a42b3176d7a,     //   0.69397,      0.72
+    0x3fe622e44fec22ff,     0x3fe71bac960e41bf,     //   0.69176,   0.72213
+    0x3fe610b7551d2cde,     0x3fe72d0837efff97,     //   0.68954,   0.72425
+    0x3fe5fe7cbde56a0f,     0x3fe73e558e079942,     //   0.68732,   0.72636
+    0x3fe5ec3495837074,     0x3fe74f948da8d28d,     //   0.68508,   0.72846
+    0x3fe5d9dee73e345c,     0x3fe760c52c304764,     //   0.68285,   0.73056
+    0x3fe5c77bbe65018c,     0x3fe771e75f037261,     //    0.6806,   0.73265
+    0x3fe5b50b264f7448,     0x3fe782fb1b90b35b,     //   0.67835,   0.73474
+    0x3fe5a28d2a5d7250,     0x3fe79400574f55e4,     //   0.67609,   0.73682
+    0x3fe59001d5f723df,     0x3fe7a4f707bf97d2,     //   0.67383,   0.73889
+    0x3fe57d69348cec9f,     0x3fe7b5df226aafb0,     //   0.67156,   0.74095
+    0x3fe56ac35197649e,     0x3fe7c6b89ce2d333,     //   0.66928,   0.74301
+    0x3fe5581038975137,     0x3fe7d7836cc33db2,     //     0.667,   0.74506
+    0x3fe5454ff5159dfb,     0x3fe7e83f87b03686,     //   0.66471,    0.7471
+    0x3fe5328292a35596,     0x3fe7f8ece3571771,     //   0.66242,   0.74914
+    0x3fe51fa81cd99aa6,     0x3fe8098b756e52fa,     //   0.66011,   0.75117
+    0x3fe50cc09f59a09b,     0x3fe81a1b33b57acc,     //   0.65781,   0.75319
+    0x3fe4f9cc25cca486,     0x3fe82a9c13f545ff,     //   0.65549,    0.7552
+    0x3fe4e6cabbe3e5e9,     0x3fe83b0e0bff976e,     //   0.65317,   0.75721
+    0x3fe4d3bc6d589f80,     0x3fe84b7111af83f9,     //   0.65085,   0.75921
+    0x3fe4c0a145ec0004,     0x3fe85bc51ae958cc,     //   0.64851,    0.7612
+    0x3fe4ad79516722f0,     0x3fe86c0a1d9aa195,     //   0.64618,   0.76319
+    0x3fe49a449b9b0938,     0x3fe87c400fba2ebf,     //   0.64383,   0.76517
+    0x3fe48703306091fe,     0x3fe88c66e7481ba1,     //   0.64148,   0.76714
+    0x3fe473b51b987347,     0x3fe89c7e9a4dd4ab,     //   0.63912,    0.7691
+    0x3fe4605a692b32a2,     0x3fe8ac871ede1d88,     //   0.63676,   0.77106
+    0x3fe44cf325091dd6,     0x3fe8bc806b151741,     //   0.63439,   0.77301
+    0x3fe4397f5b2a4380,     0x3fe8cc6a75184655,     //   0.63202,   0.77495
+    0x3fe425ff178e6bb1,     0x3fe8dc45331698cc,     //   0.62964,   0.77689
+    0x3fe41272663d108c,     0x3fe8ec109b486c49,     //   0.62725,   0.77882
+    0x3fe3fed9534556d4,     0x3fe8fbcca3ef940d,     //   0.62486,   0.78074
+    0x3fe3eb33eabe0680,     0x3fe90b7943575efe,     //   0.62246,   0.78265
+    0x3fe3d78238c58343,     0x3fe91b166fd49da2,     //   0.62006,   0.78456
+    0x3fe3c3c44981c517,     0x3fe92aa41fc5a815,     //   0.61765,   0.78646
+    0x3fe3affa292050b9,     0x3fe93a22499263fc,     //   0.61523,   0.78835
+    0x3fe39c23e3d63029,     0x3fe94990e3ac4a6c,     //   0.61281,   0.79023
+    0x3fe3884185dfeb22,     0x3fe958efe48e6dd7,     //   0.61038,   0.79211
+    0x3fe374531b817f8d,     0x3fe9683f42bd7fe1,     //   0.60795,   0.79398
+    0x3fe36058b10659f3,     0x3fe9777ef4c7d742,     //   0.60551,   0.79584
+    0x3fe34c5252c14de1,     0x3fe986aef1457594,     //   0.60307,   0.79769
+    0x3fe338400d0c8e57,     0x3fe995cf2ed80d22,     //   0.60062,   0.79954
+    0x3fe32421ec49a620,     0x3fe9a4dfa42b06b2,     //   0.59816,   0.80138
+    0x3fe30ff7fce17035,     0x3fe9b3e047f38741,     //    0.5957,   0.80321
+    0x3fe2fbc24b441015,     0x3fe9c2d110f075c3,     //   0.59323,   0.80503
+    0x3fe2e780e3e8ea16,     0x3fe9d1b1f5ea80d6,     //   0.59076,   0.80685
+    0x3fe2d333d34e9bb7,     0x3fe9e082edb42472,     //   0.58828,   0.80866
+    0x3fe2bedb25faf3ea,     0x3fe9ef43ef29af94,     //    0.5858,   0.81046
+    0x3fe2aa76e87aeb58,     0x3fe9fdf4f13149de,     //   0.58331,   0.81225
+    0x3fe2960727629ca8,     0x3fea0c95eabaf937,     //   0.58081,   0.81404
+    0x3fe2818bef4d3cba,     0x3fea1b26d2c0a75e,     //   0.57831,   0.81581
+    0x3fe26d054cdd12df,     0x3fea29a7a0462782,     //   0.57581,   0.81758
+    0x3fe258734cbb7110,     0x3fea38184a593bc6,     //    0.5733,   0.81935
+    0x3fe243d5fb98ac1f,     0x3fea4678c8119ac8,     //   0.57078,    0.8211
+    0x3fe22f2d662c13e1,     0x3fea54c91090f524,     //   0.56826,   0.82285
+    0x3fe21a799933eb58,     0x3fea63091b02fae2,     //   0.56573,   0.82459
+    0x3fe205baa17560d6,     0x3fea7138de9d60f5,     //    0.5632,   0.82632
+    0x3fe1f0f08bbc861b,     0x3fea7f58529fe69d,     //   0.56066,   0.82805
+    0x3fe1dc1b64dc4872,     0x3fea8d676e545ad2,     //   0.55812,   0.82976
+    0x3fe1c73b39ae68c8,     0x3fea9b66290ea1a3,     //   0.55557,   0.83147
+    0x3fe1b250171373be,     0x3feaa9547a2cb98e,     //   0.55302,   0.83317
+    0x3fe19d5a09f2b9b8,     0x3feab7325916c0d4,     //   0.55046,   0.83486
+    0x3fe188591f3a46e5,     0x3feac4ffbd3efac8,     //   0.54789,   0.83655
+    0x3fe1734d63dedb49,     0x3fead2bc9e21d511,     //   0.54532,   0.83822
+    0x3fe15e36e4dbe2bc,     0x3feae068f345ecef,     //   0.54275,   0.83989
+    0x3fe14915af336ceb,     0x3feaee04b43c1474,     //   0.54017,   0.84155
+    0x3fe133e9cfee254e,     0x3feafb8fd89f57b6,     //   0.53759,   0.84321
+    0x3fe11eb3541b4b22,     0x3feb090a58150200,     //     0.535,   0.84485
+    0x3fe1097248d0a956,     0x3feb16742a4ca2f5,     //    0.5324,   0.84649
+    0x3fe0f426bb2a8e7d,     0x3feb23cd470013b4,     //    0.5298,   0.84812
+    0x3fe0ded0b84bc4b5,     0x3feb3115a5f37bf4,     //    0.5272,   0.84974
+    0x3fe0c9704d5d898f,     0x3feb3e4d3ef55712,     //   0.52459,   0.85136
+    0x3fe0b405878f85ec,     0x3feb4b7409de7925,     //   0.52198,   0.85296
+    0x3fe09e907417c5e1,     0x3feb5889fe921405,     //   0.51936,   0.85456
+    0x3fe089112032b08c,     0x3feb658f14fdbc47,     //   0.51673,   0.85615
+    0x3fe073879922ffed,     0x3feb728345196e3e,     //    0.5141,   0.85773
+    0x3fe05df3ec31b8b6,     0x3feb7f6686e792ea,     //   0.51147,    0.8593
+    0x3fe0485626ae221a,     0x3feb8c38d27504e9,     //   0.50883,   0.86087
+    0x3fe032ae55edbd95,     0x3feb98fa1fd9155e,     //   0.50619,   0.86242
+    0x3fe01cfc874c3eb7,     0x3feba5aa673590d2,     //   0.50354,   0.86397
+    0x3fe00740c82b82e0,     0x3febb249a0b6c40d,     //   0.50089,   0.86551
+    0x3fdfe2f64be7120f,     0x3febbed7c49380ea,     //   0.49823,   0.86705
+    0x3fdfb7575c24d2de,     0x3febcb54cb0d2327,     //   0.49557,   0.86857
+    0x3fdf8ba4dbf89aba,     0x3febd7c0ac6f952a,     //    0.4929,   0.87009
+    0x3fdf5fdee656cda3,     0x3febe41b611154c1,     //   0.49023,    0.8716
+    0x3fdf3405963fd068,     0x3febf064e15377dd,     //   0.48755,   0.87309
+    0x3fdf081906bff7fd,     0x3febfc9d25a1b147,     //   0.48487,   0.87459
+    0x3fdedc1952ef78d5,     0x3fec08c426725549,     //   0.48218,   0.87607
+    0x3fdeb00695f25620,     0x3fec14d9dc465e58,     //   0.47949,   0.87755
+    0x3fde83e0eaf85113,     0x3fec20de3fa971b0,     //    0.4768,   0.87901
+    0x3fde57a86d3cd824,     0x3fec2cd14931e3f1,     //    0.4741,   0.88047
+    0x3fde2b5d3806f63b,     0x3fec38b2f180bdb1,     //    0.4714,   0.88192
+    0x3fddfeff66a941de,     0x3fec44833141c004,     //   0.46869,   0.88336
+    0x3fddd28f1481cc58,     0x3fec5042012b6907,     //   0.46598,    0.8848
+    0x3fdda60c5cfa10d8,     0x3fec5bef59fef85a,     //   0.46326,   0.88622
+    0x3fdd79775b86e389,     0x3fec678b3488739b,     //   0.46054,   0.88764
+    0x3fdd4cd02ba8609c,     0x3fec7315899eaad7,     //   0.45781,   0.88905
+    0x3fdd2016e8e9db5b,     0x3fec7e8e52233cf3,     //   0.45508,   0.89045
+    0x3fdcf34baee1cd21,     0x3fec89f587029c13,     //   0.45235,   0.89184
+    0x3fdcc66e9931c45d,     0x3fec954b213411f5,     //   0.44961,   0.89322
+    0x3fdc997fc3865388,     0x3feca08f19b9c449,     //   0.44687,    0.8946
+    0x3fdc6c7f4997000a,     0x3fecabc169a0b901,     //   0.44412,   0.89597
+    0x3fdc3f6d47263129,     0x3fecb6e20a00da99,     //   0.44137,   0.89732
+    0x3fdc1249d8011ee7,     0x3fecc1f0f3fcfc5c,     //   0.43862,   0.89867
+    0x3fdbe51517ffc0d9,     0x3fecccee20c2de9f,     //   0.43586,   0.90002
+    0x3fdbb7cf2304bd01,     0x3fecd7d9898b32f6,     //   0.43309,   0.90135
+    0x3fdb8a7814fd5693,     0x3fece2b32799a060,     //   0.43033,   0.90267
+    0x3fdb5d1009e15cc0,     0x3feced7af43cc773,     //   0.42756,   0.90399
+    0x3fdb2f971db31972,     0x3fecf830e8ce467b,     //   0.42478,    0.9053
+    0x3fdb020d6c7f4009,     0x3fed02d4feb2bd92,     //     0.422,    0.9066
+    0x3fdad473125cdc08,     0x3fed0d672f59d2b9,     //   0.41922,   0.90789
+    0x3fdaa6c82b6d3fc9,     0x3fed17e7743e35dc,     //   0.41643,   0.90917
+    0x3fda790cd3dbf31a,     0x3fed2255c6e5a4e1,     //   0.41364,   0.91044
+    0x3fda4b4127dea1e4,     0x3fed2cb220e0ef9f,     //   0.41084,   0.91171
+    0x3fda1d6543b50ac0,     0x3fed36fc7bcbfbdc,     //   0.40804,   0.91296
+    0x3fd9ef7943a8ed8a,     0x3fed4134d14dc93a,     //   0.40524,   0.91421
+    0x3fd9c17d440df9f2,     0x3fed4b5b1b187524,     //   0.40243,   0.91545
+    0x3fd993716141bdfe,     0x3fed556f52e93eb1,     //   0.39962,   0.91668
+    0x3fd96555b7ab948f,     0x3fed5f7172888a7f,     //   0.39681,    0.9179
+    0x3fd9372a63bc93d7,     0x3fed696173c9e68b,     //   0.39399,   0.91911
+    0x3fd908ef81ef7bd1,     0x3fed733f508c0dff,     //   0.39117,   0.92032
+    0x3fd8daa52ec8a4af,     0x3fed7d0b02b8ecf9,     //   0.38835,   0.92151
+    0x3fd8ac4b86d5ed44,     0x3fed86c48445a450,     //   0.38552,    0.9227
+    0x3fd87de2a6aea963,     0x3fed906bcf328d46,     //   0.38268,   0.92388
+    0x3fd84f6aaaf3903f,     0x3fed9a00dd8b3d46,     //   0.37985,   0.92505
+    0x3fd820e3b04eaac4,     0x3feda383a9668988,     //   0.37701,   0.92621
+    0x3fd7f24dd37341e3,     0x3fedacf42ce68ab9,     //   0.37416,   0.92736
+    0x3fd7c3a9311dcce7,     0x3fedb6526238a09b,     //   0.37132,   0.92851
+    0x3fd794f5e613dfae,     0x3fedbf9e4395759a,     //   0.36847,   0.92964
+    0x3fd766340f2418f6,     0x3fedc8d7cb410260,     //   0.36561,   0.93077
+    0x3fd73763c9261092,     0x3fedd1fef38a915a,     //   0.36276,   0.93188
+    0x3fd7088530fa459e,     0x3feddb13b6ccc23d,     //    0.3599,   0.93299
+    0x3fd6d998638a0cb5,     0x3fede4160f6d8d81,     //   0.35703,   0.93409
+    0x3fd6aa9d7dc77e16,     0x3feded05f7de47da,     //   0.35416,   0.93518
+    0x3fd67b949cad63ca,     0x3fedf5e36a9ba59c,     //   0.35129,   0.93627
+    0x3fd64c7ddd3f27c6,     0x3fedfeae622dbe2b,     //   0.34842,   0.93734
+    0x3fd61d595c88c203,     0x3fee0766d9280f54,     //   0.34554,    0.9384
+    0x3fd5ee27379ea693,     0x3fee100cca2980ac,     //   0.34266,   0.93946
+    0x3fd5bee78b9db3b6,     0x3fee18a02fdc66d9,     //   0.33978,   0.94051
+    0x3fd58f9a75ab1fdd,     0x3fee212104f686e5,     //   0.33689,   0.94154
+    0x3fd5604012f467b4,     0x3fee298f4439197a,     //     0.334,   0.94257
+    0x3fd530d880af3c24,     0x3fee31eae870ce25,     //   0.33111,   0.94359
+    0x3fd50163dc197047,     0x3fee3a33ec75ce85,     //   0.32821,    0.9446
+    0x3fd4d1e24278e76a,     0x3fee426a4b2bc17e,     //   0.32531,   0.94561
+    0x3fd4a253d11b82f3,     0x3fee4a8dff81ce5e,     //   0.32241,    0.9466
+    0x3fd472b8a5571054,     0x3fee529f04729ffc,     //    0.3195,   0.94759
+    0x3fd44310dc8936f0,     0x3fee5a9d550467d3,     //   0.31659,   0.94856
+    0x3fd4135c94176602,     0x3fee6288ec48e112,     //   0.31368,   0.94953
+    0x3fd3e39be96ec271,     0x3fee6a61c55d53a7,     //   0.31077,   0.95049
+    0x3fd3b3cefa0414b7,     0x3fee7227db6a9744,     //   0.30785,   0.95144
+    0x3fd383f5e353b6aa,     0x3fee79db29a5165a,     //   0.30493,   0.95238
+    0x3fd35410c2e18152,     0x3fee817bab4cd10d,     //   0.30201,   0.95331
+    0x3fd3241fb638baaf,     0x3fee89095bad6025,     //   0.29908,   0.95423
+    0x3fd2f422daec0386,     0x3fee9084361df7f3,     //   0.29615,   0.95514
+    0x3fd2c41a4e954520,     0x3fee97ec36016b30,     //   0.29322,   0.95605
+    0x3fd294062ed59f05,     0x3fee9f4156c62dda,     //   0.29028,   0.95694
+    0x3fd263e6995554ba,     0x3feea68393e65800,     //   0.28735,   0.95783
+    0x3fd233bbabc3bb72,     0x3feeadb2e8e7a88e,     //   0.28441,    0.9587
+    0x3fd2038583d727bd,     0x3feeb4cf515b8811,     //   0.28146,   0.95957
+    0x3fd1d3443f4cdb3d,     0x3feebbd8c8df0b74,     //   0.27852,   0.96043
+    0x3fd1a2f7fbe8f243,     0x3feec2cf4b1af6b2,     //   0.27557,   0.96128
+    0x3fd172a0d7765177,     0x3feec9b2d3c3bf84,     //   0.27262,   0.96212
+    0x3fd1423eefc69378,     0x3feed0835e999009,     //   0.26967,   0.96295
+    0x3fd111d262b1f677,     0x3feed740e7684963,     //   0.26671,   0.96378
+    0x3fd0e15b4e1749cd,     0x3feeddeb6a078651,     //   0.26375,   0.96459
+    0x3fd0b0d9cfdbdb90,     0x3feee482e25a9dbc,     //   0.26079,   0.96539
+    0x3fd0804e05eb661e,     0x3feeeb074c50a544,     //   0.25783,   0.96619
+    0x3fd04fb80e37fdae,     0x3feef178a3e473c2,     //   0.25487,   0.96698
+    0x3fd01f1806b9fdd2,     0x3feef7d6e51ca3c0,     //    0.2519,   0.96775
+    0x3fcfdcdc1adfedf8,     0x3feefe220c0b95ec,     //   0.24893,   0.96852
+    0x3fcf7b7480bd3801,     0x3fef045a14cf738c,     //   0.24596,   0.96928
+    0x3fcf19f97b215f1a,     0x3fef0a7efb9230d7,     //   0.24298,   0.97003
+    0x3fceb86b462de348,     0x3fef1090bc898f5f,     //      0.24,   0.97077
+    0x3fce56ca1e101a1b,     0x3fef168f53f7205d,     //   0.23702,    0.9715
+    0x3fcdf5163f01099a,     0x3fef1c7abe284708,     //   0.23404,   0.97223
+    0x3fcd934fe5454311,     0x3fef2252f7763ada,     //   0.23106,   0.97294
+    0x3fcd31774d2cbdee,     0x3fef2817fc4609ce,     //   0.22807,   0.97364
+    0x3fcccf8cb312b286,     0x3fef2dc9c9089a9d,     //   0.22508,   0.97434
+    0x3fcc6d90535d74dc,     0x3fef33685a3aaef0,     //   0.22209,   0.97503
+    0x3fcc0b826a7e4f63,     0x3fef38f3ac64e589,     //    0.2191,    0.9757
+    0x3fcba96334f15dad,     0x3fef3e6bbc1bbc65,     //   0.21611,   0.97637
+    0x3fcb4732ef3d6722,     0x3fef43d085ff92dd,     //   0.21311,   0.97703
+    0x3fcae4f1d5f3b9ab,     0x3fef492206bcabb4,     //   0.21011,   0.97768
+    0x3fca82a025b00451,     0x3fef4e603b0b2f2d,     //   0.20711,   0.97832
+    0x3fca203e1b1831da,     0x3fef538b1faf2d07,     //   0.20411,   0.97895
+    0x3fc9bdcbf2dc4366,     0x3fef58a2b1789e84,     //    0.2011,   0.97957
+    0x3fc95b49e9b62af9,     0x3fef5da6ed43685d,     //    0.1981,   0.98018
+    0x3fc8f8b83c69a60a,     0x3fef6297cff75cb0,     //   0.19509,   0.98079
+    0x3fc8961727c41804,     0x3fef677556883cee,     //   0.19208,   0.98138
+    0x3fc83366e89c64c5,     0x3fef6c3f7df5bbb7,     //   0.18907,   0.98196
+    0x3fc7d0a7bbd2cb1b,     0x3fef70f6434b7eb7,     //   0.18606,   0.98254
+    0x3fc76dd9de50bf31,     0x3fef7599a3a12077,     //   0.18304,   0.98311
+    0x3fc70afd8d08c4ff,     0x3fef7a299c1a322a,     //   0.18002,   0.98366
+    0x3fc6a81304f64ab2,     0x3fef7ea629e63d6e,     //     0.177,   0.98421
+    0x3fc6451a831d830d,     0x3fef830f4a40c60c,     //   0.17398,   0.98475
+    0x3fc5e214448b3fc6,     0x3fef8764fa714ba9,     //   0.17096,   0.98528
+    0x3fc57f008654cbde,     0x3fef8ba737cb4b78,     //   0.16794,    0.9858
+    0x3fc51bdf8597c5f2,     0x3fef8fd5ffae41db,     //   0.16491,   0.98631
+    0x3fc4b8b17f79fa88,     0x3fef93f14f85ac08,     //   0.16189,   0.98681
+    0x3fc45576b1293e5a,     0x3fef97f924c9099b,     //   0.15886,    0.9873
+    0x3fc3f22f57db4893,     0x3fef9bed7cfbde29,     //   0.15583,   0.98778
+    0x3fc38edbb0cd8d14,     0x3fef9fce55adb2c8,     //    0.1528,   0.98826
+    0x3fc32b7bf94516a7,     0x3fefa39bac7a1791,     //   0.14976,   0.98872
+    0x3fc2c8106e8e613a,     0x3fefa7557f08a517,     //   0.14673,   0.98918
+    0x3fc264994dfd340a,     0x3fefaafbcb0cfddc,     //    0.1437,   0.98962
+    0x3fc20116d4ec7bce,     0x3fefae8e8e46cfbb,     //   0.14066,   0.99006
+    0x3fc19d8940be24e7,     0x3fefb20dc681d54d,     //   0.13762,   0.99049
+    0x3fc139f0cedaf576,     0x3fefb5797195d741,     //   0.13458,    0.9909
+    0x3fc0d64dbcb26786,     0x3fefb8d18d66adb7,     //   0.13154,   0.99131
+    0x3fc072a047ba831d,     0x3fefbc1617e44186,     //    0.1285,   0.99171
+    0x3fc00ee8ad6fb85b,     0x3fefbf470f0a8d88,     //   0.12545,    0.9921
+    0x3fbf564e56a9730e,     0x3fefc26470e19fd3,     //   0.12241,   0.99248
+    0x3fbe8eb7fde4aa3e,     0x3fefc56e3b7d9af6,     //   0.11937,   0.99285
+    0x3fbdc70ecbae9fc8,     0x3fefc8646cfeb721,     //   0.11632,   0.99321
+    0x3fbcff533b307dc1,     0x3fefcb4703914354,     //   0.11327,   0.99356
+    0x3fbc3785c79ec2d5,     0x3fefce15fd6da67b,     //   0.11022,   0.99391
+    0x3fbb6fa6ec38f64c,     0x3fefd0d158d86087,     //   0.10717,   0.99424
+    0x3fbaa7b724495c04,     0x3fefd37914220b84,     //   0.10412,   0.99456
+    0x3fb9dfb6eb24a85c,     0x3fefd60d2da75c9e,     //   0.10107,   0.99488
+    0x3fb917a6bc29b42c,     0x3fefd88da3d12526,     //  0.098017,   0.99518
+    0x3fb84f8712c130a0,     0x3fefdafa7514538c,     //  0.094963,   0.99548
+    0x3fb787586a5d5b21,     0x3fefdd539ff1f456,     //  0.091909,   0.99577
+    0x3fb6bf1b3e79b129,     0x3fefdf9922f73307,     //  0.088854,   0.99604
+    0x3fb5f6d00a9aa419,     0x3fefe1cafcbd5b09,     //  0.085797,   0.99631
+    0x3fb52e774a4d4d0a,     0x3fefe3e92be9d886,     //   0.08274,   0.99657
+    0x3fb4661179272096,     0x3fefe5f3af2e3940,     //  0.079682,   0.99682
+    0x3fb39d9f12c5a299,     0x3fefe7ea85482d60,     //  0.076624,   0.99706
+    0x3fb2d52092ce19f6,     0x3fefe9cdad01883a,     //  0.073565,   0.99729
+    0x3fb20c9674ed444c,     0x3fefeb9d2530410f,     //  0.070505,   0.99751
+    0x3fb1440134d709b2,     0x3fefed58ecb673c4,     //  0.067444,   0.99772
+    0x3fb07b614e463064,     0x3fefef0102826191,     //  0.064383,   0.99793
+    0x3faf656e79f820e0,     0x3feff095658e71ad,     //  0.061321,   0.99812
+    0x3fadd406f9808ec8,     0x3feff21614e131ed,     //  0.058258,    0.9983
+    0x3fac428d12c0d7e3,     0x3feff3830f8d575c,     //  0.055195,   0.99848
+    0x3faab101bd5f8317,     0x3feff4dc54b1bed3,     //  0.052132,   0.99864
+    0x3fa91f65f10dd814,     0x3feff621e3796d7e,     //  0.049068,    0.9988
+    0x3fa78dbaa5874685,     0x3feff753bb1b9164,     //  0.046003,   0.99894
+    0x3fa5fc00d290cd43,     0x3feff871dadb81df,     //  0.042938,   0.99908
+    0x3fa46a396ff86179,     0x3feff97c4208c014,     //  0.039873,    0.9992
+    0x3fa2d865759455cd,     0x3feffa72effef75d,     //  0.036807,   0.99932
+    0x3fa14685db42c17e,     0x3feffb55e425fdae,     //  0.033741,   0.99943
+    0x3f9f693731d1cf01,     0x3feffc251df1d3f8,     //  0.030675,   0.99953
+    0x3f9c454f4ce53b1c,     0x3feffce09ce2a679,     //  0.027608,   0.99962
+    0x3f992155f7a3667e,     0x3feffd886084cd0d,     //  0.024541,    0.9997
+    0x3f95fd4d21fab226,     0x3feffe1c6870cb77,     //  0.021474,   0.99977
+    0x3f92d936bbe30efd,     0x3feffe9cb44b51a1,     //  0.018407,   0.99983
+    0x3f8f6a296ab997ca,     0x3fefff0943c53bd1,     //  0.015339,   0.99988
+    0x3f8921d1fcdec784,     0x3fefff62169b92db,     //  0.012272,   0.99992
+    0x3f82d96b0e509703,     0x3fefffa72c978c4f,     // 0.0092038,   0.99996
+    0x3f7921f0fe670071,     0x3fefffd8858e8a92,     // 0.0061359,   0.99998
+    0x3f6921f8becca4ba,     0x3feffff621621d02,     //  0.003068,         1
+    0x0000000000000000,     0x3ff0000000000000,     //         0,         1
+    0xbf6921f8becca4ba,     0x3feffff621621d02,     // -0.003068,         1
+    0xbf7921f0fe670071,     0x3fefffd8858e8a92,     //-0.0061359,   0.99998
+    0xbf82d96b0e509703,     0x3fefffa72c978c4f,     //-0.0092038,   0.99996
+    0xbf8921d1fcdec784,     0x3fefff62169b92db,     // -0.012272,   0.99992
+    0xbf8f6a296ab997ca,     0x3fefff0943c53bd1,     // -0.015339,   0.99988
+    0xbf92d936bbe30efd,     0x3feffe9cb44b51a1,     // -0.018407,   0.99983
+    0xbf95fd4d21fab226,     0x3feffe1c6870cb77,     // -0.021474,   0.99977
+    0xbf992155f7a3667e,     0x3feffd886084cd0d,     // -0.024541,    0.9997
+    0xbf9c454f4ce53b1c,     0x3feffce09ce2a679,     // -0.027608,   0.99962
+    0xbf9f693731d1cf01,     0x3feffc251df1d3f8,     // -0.030675,   0.99953
+    0xbfa14685db42c17e,     0x3feffb55e425fdae,     // -0.033741,   0.99943
+    0xbfa2d865759455cd,     0x3feffa72effef75d,     // -0.036807,   0.99932
+    0xbfa46a396ff86179,     0x3feff97c4208c014,     // -0.039873,    0.9992
+    0xbfa5fc00d290cd43,     0x3feff871dadb81df,     // -0.042938,   0.99908
+    0xbfa78dbaa5874685,     0x3feff753bb1b9164,     // -0.046003,   0.99894
+    0xbfa91f65f10dd814,     0x3feff621e3796d7e,     // -0.049068,    0.9988
+    0xbfaab101bd5f8317,     0x3feff4dc54b1bed3,     // -0.052132,   0.99864
+    0xbfac428d12c0d7e3,     0x3feff3830f8d575c,     // -0.055195,   0.99848
+    0xbfadd406f9808ec8,     0x3feff21614e131ed,     // -0.058258,    0.9983
+    0xbfaf656e79f820e0,     0x3feff095658e71ad,     // -0.061321,   0.99812
+    0xbfb07b614e463064,     0x3fefef0102826191,     // -0.064383,   0.99793
+    0xbfb1440134d709b2,     0x3fefed58ecb673c4,     // -0.067444,   0.99772
+    0xbfb20c9674ed444c,     0x3fefeb9d2530410f,     // -0.070505,   0.99751
+    0xbfb2d52092ce19f6,     0x3fefe9cdad01883a,     // -0.073565,   0.99729
+    0xbfb39d9f12c5a299,     0x3fefe7ea85482d60,     // -0.076624,   0.99706
+    0xbfb4661179272096,     0x3fefe5f3af2e3940,     // -0.079682,   0.99682
+    0xbfb52e774a4d4d0a,     0x3fefe3e92be9d886,     //  -0.08274,   0.99657
+    0xbfb5f6d00a9aa419,     0x3fefe1cafcbd5b09,     // -0.085797,   0.99631
+    0xbfb6bf1b3e79b129,     0x3fefdf9922f73307,     // -0.088854,   0.99604
+    0xbfb787586a5d5b21,     0x3fefdd539ff1f456,     // -0.091909,   0.99577
+    0xbfb84f8712c130a0,     0x3fefdafa7514538c,     // -0.094963,   0.99548
+    0xbfb917a6bc29b42c,     0x3fefd88da3d12526,     // -0.098017,   0.99518
+    0xbfb9dfb6eb24a85c,     0x3fefd60d2da75c9e,     //  -0.10107,   0.99488
+    0xbfbaa7b724495c04,     0x3fefd37914220b84,     //  -0.10412,   0.99456
+    0xbfbb6fa6ec38f64c,     0x3fefd0d158d86087,     //  -0.10717,   0.99424
+    0xbfbc3785c79ec2d5,     0x3fefce15fd6da67b,     //  -0.11022,   0.99391
+    0xbfbcff533b307dc1,     0x3fefcb4703914354,     //  -0.11327,   0.99356
+    0xbfbdc70ecbae9fc8,     0x3fefc8646cfeb721,     //  -0.11632,   0.99321
+    0xbfbe8eb7fde4aa3e,     0x3fefc56e3b7d9af6,     //  -0.11937,   0.99285
+    0xbfbf564e56a9730e,     0x3fefc26470e19fd3,     //  -0.12241,   0.99248
+    0xbfc00ee8ad6fb85b,     0x3fefbf470f0a8d88,     //  -0.12545,    0.9921
+    0xbfc072a047ba831d,     0x3fefbc1617e44186,     //   -0.1285,   0.99171
+    0xbfc0d64dbcb26786,     0x3fefb8d18d66adb7,     //  -0.13154,   0.99131
+    0xbfc139f0cedaf576,     0x3fefb5797195d741,     //  -0.13458,    0.9909
+    0xbfc19d8940be24e7,     0x3fefb20dc681d54d,     //  -0.13762,   0.99049
+    0xbfc20116d4ec7bce,     0x3fefae8e8e46cfbb,     //  -0.14066,   0.99006
+    0xbfc264994dfd340a,     0x3fefaafbcb0cfddc,     //   -0.1437,   0.98962
+    0xbfc2c8106e8e613a,     0x3fefa7557f08a517,     //  -0.14673,   0.98918
+    0xbfc32b7bf94516a7,     0x3fefa39bac7a1791,     //  -0.14976,   0.98872
+    0xbfc38edbb0cd8d14,     0x3fef9fce55adb2c8,     //   -0.1528,   0.98826
+    0xbfc3f22f57db4893,     0x3fef9bed7cfbde29,     //  -0.15583,   0.98778
+    0xbfc45576b1293e5a,     0x3fef97f924c9099b,     //  -0.15886,    0.9873
+    0xbfc4b8b17f79fa88,     0x3fef93f14f85ac08,     //  -0.16189,   0.98681
+    0xbfc51bdf8597c5f2,     0x3fef8fd5ffae41db,     //  -0.16491,   0.98631
+    0xbfc57f008654cbde,     0x3fef8ba737cb4b78,     //  -0.16794,    0.9858
+    0xbfc5e214448b3fc6,     0x3fef8764fa714ba9,     //  -0.17096,   0.98528
+    0xbfc6451a831d830d,     0x3fef830f4a40c60c,     //  -0.17398,   0.98475
+    0xbfc6a81304f64ab2,     0x3fef7ea629e63d6e,     //    -0.177,   0.98421
+    0xbfc70afd8d08c4ff,     0x3fef7a299c1a322a,     //  -0.18002,   0.98366
+    0xbfc76dd9de50bf31,     0x3fef7599a3a12077,     //  -0.18304,   0.98311
+    0xbfc7d0a7bbd2cb1b,     0x3fef70f6434b7eb7,     //  -0.18606,   0.98254
+    0xbfc83366e89c64c5,     0x3fef6c3f7df5bbb7,     //  -0.18907,   0.98196
+    0xbfc8961727c41804,     0x3fef677556883cee,     //  -0.19208,   0.98138
+    0xbfc8f8b83c69a60a,     0x3fef6297cff75cb0,     //  -0.19509,   0.98079
+    0xbfc95b49e9b62af9,     0x3fef5da6ed43685d,     //   -0.1981,   0.98018
+    0xbfc9bdcbf2dc4366,     0x3fef58a2b1789e84,     //   -0.2011,   0.97957
+    0xbfca203e1b1831da,     0x3fef538b1faf2d07,     //  -0.20411,   0.97895
+    0xbfca82a025b00451,     0x3fef4e603b0b2f2d,     //  -0.20711,   0.97832
+    0xbfcae4f1d5f3b9ab,     0x3fef492206bcabb4,     //  -0.21011,   0.97768
+    0xbfcb4732ef3d6722,     0x3fef43d085ff92dd,     //  -0.21311,   0.97703
+    0xbfcba96334f15dad,     0x3fef3e6bbc1bbc65,     //  -0.21611,   0.97637
+    0xbfcc0b826a7e4f63,     0x3fef38f3ac64e589,     //   -0.2191,    0.9757
+    0xbfcc6d90535d74dc,     0x3fef33685a3aaef0,     //  -0.22209,   0.97503
+    0xbfcccf8cb312b286,     0x3fef2dc9c9089a9d,     //  -0.22508,   0.97434
+    0xbfcd31774d2cbdee,     0x3fef2817fc4609ce,     //  -0.22807,   0.97364
+    0xbfcd934fe5454311,     0x3fef2252f7763ada,     //  -0.23106,   0.97294
+    0xbfcdf5163f01099a,     0x3fef1c7abe284708,     //  -0.23404,   0.97223
+    0xbfce56ca1e101a1b,     0x3fef168f53f7205d,     //  -0.23702,    0.9715
+    0xbfceb86b462de348,     0x3fef1090bc898f5f,     //     -0.24,   0.97077
+    0xbfcf19f97b215f1a,     0x3fef0a7efb9230d7,     //  -0.24298,   0.97003
+    0xbfcf7b7480bd3801,     0x3fef045a14cf738c,     //  -0.24596,   0.96928
+    0xbfcfdcdc1adfedf8,     0x3feefe220c0b95ec,     //  -0.24893,   0.96852
+    0xbfd01f1806b9fdd2,     0x3feef7d6e51ca3c0,     //   -0.2519,   0.96775
+    0xbfd04fb80e37fdae,     0x3feef178a3e473c2,     //  -0.25487,   0.96698
+    0xbfd0804e05eb661e,     0x3feeeb074c50a544,     //  -0.25783,   0.96619
+    0xbfd0b0d9cfdbdb90,     0x3feee482e25a9dbc,     //  -0.26079,   0.96539
+    0xbfd0e15b4e1749cd,     0x3feeddeb6a078651,     //  -0.26375,   0.96459
+    0xbfd111d262b1f677,     0x3feed740e7684963,     //  -0.26671,   0.96378
+    0xbfd1423eefc69378,     0x3feed0835e999009,     //  -0.26967,   0.96295
+    0xbfd172a0d7765177,     0x3feec9b2d3c3bf84,     //  -0.27262,   0.96212
+    0xbfd1a2f7fbe8f243,     0x3feec2cf4b1af6b2,     //  -0.27557,   0.96128
+    0xbfd1d3443f4cdb3d,     0x3feebbd8c8df0b74,     //  -0.27852,   0.96043
+    0xbfd2038583d727bd,     0x3feeb4cf515b8811,     //  -0.28146,   0.95957
+    0xbfd233bbabc3bb72,     0x3feeadb2e8e7a88e,     //  -0.28441,    0.9587
+    0xbfd263e6995554ba,     0x3feea68393e65800,     //  -0.28735,   0.95783
+    0xbfd294062ed59f05,     0x3fee9f4156c62dda,     //  -0.29028,   0.95694
+    0xbfd2c41a4e954520,     0x3fee97ec36016b30,     //  -0.29322,   0.95605
+    0xbfd2f422daec0386,     0x3fee9084361df7f3,     //  -0.29615,   0.95514
+    0xbfd3241fb638baaf,     0x3fee89095bad6025,     //  -0.29908,   0.95423
+    0xbfd35410c2e18152,     0x3fee817bab4cd10d,     //  -0.30201,   0.95331
+    0xbfd383f5e353b6aa,     0x3fee79db29a5165a,     //  -0.30493,   0.95238
+    0xbfd3b3cefa0414b7,     0x3fee7227db6a9744,     //  -0.30785,   0.95144
+    0xbfd3e39be96ec271,     0x3fee6a61c55d53a7,     //  -0.31077,   0.95049
+    0xbfd4135c94176602,     0x3fee6288ec48e112,     //  -0.31368,   0.94953
+    0xbfd44310dc8936f0,     0x3fee5a9d550467d3,     //  -0.31659,   0.94856
+    0xbfd472b8a5571054,     0x3fee529f04729ffc,     //   -0.3195,   0.94759
+    0xbfd4a253d11b82f3,     0x3fee4a8dff81ce5e,     //  -0.32241,    0.9466
+    0xbfd4d1e24278e76a,     0x3fee426a4b2bc17e,     //  -0.32531,   0.94561
+    0xbfd50163dc197047,     0x3fee3a33ec75ce85,     //  -0.32821,    0.9446
+    0xbfd530d880af3c24,     0x3fee31eae870ce25,     //  -0.33111,   0.94359
+    0xbfd5604012f467b4,     0x3fee298f4439197a,     //    -0.334,   0.94257
+    0xbfd58f9a75ab1fdd,     0x3fee212104f686e5,     //  -0.33689,   0.94154
+    0xbfd5bee78b9db3b6,     0x3fee18a02fdc66d9,     //  -0.33978,   0.94051
+    0xbfd5ee27379ea693,     0x3fee100cca2980ac,     //  -0.34266,   0.93946
+    0xbfd61d595c88c203,     0x3fee0766d9280f54,     //  -0.34554,    0.9384
+    0xbfd64c7ddd3f27c6,     0x3fedfeae622dbe2b,     //  -0.34842,   0.93734
+    0xbfd67b949cad63ca,     0x3fedf5e36a9ba59c,     //  -0.35129,   0.93627
+    0xbfd6aa9d7dc77e16,     0x3feded05f7de47da,     //  -0.35416,   0.93518
+    0xbfd6d998638a0cb5,     0x3fede4160f6d8d81,     //  -0.35703,   0.93409
+    0xbfd7088530fa459e,     0x3feddb13b6ccc23d,     //   -0.3599,   0.93299
+    0xbfd73763c9261092,     0x3fedd1fef38a915a,     //  -0.36276,   0.93188
+    0xbfd766340f2418f6,     0x3fedc8d7cb410260,     //  -0.36561,   0.93077
+    0xbfd794f5e613dfae,     0x3fedbf9e4395759a,     //  -0.36847,   0.92964
+    0xbfd7c3a9311dcce7,     0x3fedb6526238a09b,     //  -0.37132,   0.92851
+    0xbfd7f24dd37341e3,     0x3fedacf42ce68ab9,     //  -0.37416,   0.92736
+    0xbfd820e3b04eaac4,     0x3feda383a9668988,     //  -0.37701,   0.92621
+    0xbfd84f6aaaf3903f,     0x3fed9a00dd8b3d46,     //  -0.37985,   0.92505
+    0xbfd87de2a6aea963,     0x3fed906bcf328d46,     //  -0.38268,   0.92388
+    0xbfd8ac4b86d5ed44,     0x3fed86c48445a450,     //  -0.38552,    0.9227
+    0xbfd8daa52ec8a4af,     0x3fed7d0b02b8ecf9,     //  -0.38835,   0.92151
+    0xbfd908ef81ef7bd1,     0x3fed733f508c0dff,     //  -0.39117,   0.92032
+    0xbfd9372a63bc93d7,     0x3fed696173c9e68b,     //  -0.39399,   0.91911
+    0xbfd96555b7ab948f,     0x3fed5f7172888a7f,     //  -0.39681,    0.9179
+    0xbfd993716141bdfe,     0x3fed556f52e93eb1,     //  -0.39962,   0.91668
+    0xbfd9c17d440df9f2,     0x3fed4b5b1b187524,     //  -0.40243,   0.91545
+    0xbfd9ef7943a8ed8a,     0x3fed4134d14dc93a,     //  -0.40524,   0.91421
+    0xbfda1d6543b50ac0,     0x3fed36fc7bcbfbdc,     //  -0.40804,   0.91296
+    0xbfda4b4127dea1e4,     0x3fed2cb220e0ef9f,     //  -0.41084,   0.91171
+    0xbfda790cd3dbf31a,     0x3fed2255c6e5a4e1,     //  -0.41364,   0.91044
+    0xbfdaa6c82b6d3fc9,     0x3fed17e7743e35dc,     //  -0.41643,   0.90917
+    0xbfdad473125cdc08,     0x3fed0d672f59d2b9,     //  -0.41922,   0.90789
+    0xbfdb020d6c7f4009,     0x3fed02d4feb2bd92,     //    -0.422,    0.9066
+    0xbfdb2f971db31972,     0x3fecf830e8ce467b,     //  -0.42478,    0.9053
+    0xbfdb5d1009e15cc0,     0x3feced7af43cc773,     //  -0.42756,   0.90399
+    0xbfdb8a7814fd5693,     0x3fece2b32799a060,     //  -0.43033,   0.90267
+    0xbfdbb7cf2304bd01,     0x3fecd7d9898b32f6,     //  -0.43309,   0.90135
+    0xbfdbe51517ffc0d9,     0x3fecccee20c2de9f,     //  -0.43586,   0.90002
+    0xbfdc1249d8011ee7,     0x3fecc1f0f3fcfc5c,     //  -0.43862,   0.89867
+    0xbfdc3f6d47263129,     0x3fecb6e20a00da99,     //  -0.44137,   0.89732
+    0xbfdc6c7f4997000a,     0x3fecabc169a0b901,     //  -0.44412,   0.89597
+    0xbfdc997fc3865388,     0x3feca08f19b9c449,     //  -0.44687,    0.8946
+    0xbfdcc66e9931c45d,     0x3fec954b213411f5,     //  -0.44961,   0.89322
+    0xbfdcf34baee1cd21,     0x3fec89f587029c13,     //  -0.45235,   0.89184
+    0xbfdd2016e8e9db5b,     0x3fec7e8e52233cf3,     //  -0.45508,   0.89045
+    0xbfdd4cd02ba8609c,     0x3fec7315899eaad7,     //  -0.45781,   0.88905
+    0xbfdd79775b86e389,     0x3fec678b3488739b,     //  -0.46054,   0.88764
+    0xbfdda60c5cfa10d8,     0x3fec5bef59fef85a,     //  -0.46326,   0.88622
+    0xbfddd28f1481cc58,     0x3fec5042012b6907,     //  -0.46598,    0.8848
+    0xbfddfeff66a941de,     0x3fec44833141c004,     //  -0.46869,   0.88336
+    0xbfde2b5d3806f63b,     0x3fec38b2f180bdb1,     //   -0.4714,   0.88192
+    0xbfde57a86d3cd824,     0x3fec2cd14931e3f1,     //   -0.4741,   0.88047
+    0xbfde83e0eaf85113,     0x3fec20de3fa971b0,     //   -0.4768,   0.87901
+    0xbfdeb00695f25620,     0x3fec14d9dc465e58,     //  -0.47949,   0.87755
+    0xbfdedc1952ef78d5,     0x3fec08c426725549,     //  -0.48218,   0.87607
+    0xbfdf081906bff7fd,     0x3febfc9d25a1b147,     //  -0.48487,   0.87459
+    0xbfdf3405963fd068,     0x3febf064e15377dd,     //  -0.48755,   0.87309
+    0xbfdf5fdee656cda3,     0x3febe41b611154c1,     //  -0.49023,    0.8716
+    0xbfdf8ba4dbf89aba,     0x3febd7c0ac6f952a,     //   -0.4929,   0.87009
+    0xbfdfb7575c24d2de,     0x3febcb54cb0d2327,     //  -0.49557,   0.86857
+    0xbfdfe2f64be7120f,     0x3febbed7c49380ea,     //  -0.49823,   0.86705
+    0xbfe00740c82b82e0,     0x3febb249a0b6c40d,     //  -0.50089,   0.86551
+    0xbfe01cfc874c3eb7,     0x3feba5aa673590d2,     //  -0.50354,   0.86397
+    0xbfe032ae55edbd95,     0x3feb98fa1fd9155e,     //  -0.50619,   0.86242
+    0xbfe0485626ae221a,     0x3feb8c38d27504e9,     //  -0.50883,   0.86087
+    0xbfe05df3ec31b8b6,     0x3feb7f6686e792ea,     //  -0.51147,    0.8593
+    0xbfe073879922ffed,     0x3feb728345196e3e,     //   -0.5141,   0.85773
+    0xbfe089112032b08c,     0x3feb658f14fdbc47,     //  -0.51673,   0.85615
+    0xbfe09e907417c5e1,     0x3feb5889fe921405,     //  -0.51936,   0.85456
+    0xbfe0b405878f85ec,     0x3feb4b7409de7925,     //  -0.52198,   0.85296
+    0xbfe0c9704d5d898f,     0x3feb3e4d3ef55712,     //  -0.52459,   0.85136
+    0xbfe0ded0b84bc4b5,     0x3feb3115a5f37bf4,     //   -0.5272,   0.84974
+    0xbfe0f426bb2a8e7d,     0x3feb23cd470013b4,     //   -0.5298,   0.84812
+    0xbfe1097248d0a956,     0x3feb16742a4ca2f5,     //   -0.5324,   0.84649
+    0xbfe11eb3541b4b22,     0x3feb090a58150200,     //    -0.535,   0.84485
+    0xbfe133e9cfee254e,     0x3feafb8fd89f57b6,     //  -0.53759,   0.84321
+    0xbfe14915af336ceb,     0x3feaee04b43c1474,     //  -0.54017,   0.84155
+    0xbfe15e36e4dbe2bc,     0x3feae068f345ecef,     //  -0.54275,   0.83989
+    0xbfe1734d63dedb49,     0x3fead2bc9e21d511,     //  -0.54532,   0.83822
+    0xbfe188591f3a46e5,     0x3feac4ffbd3efac8,     //  -0.54789,   0.83655
+    0xbfe19d5a09f2b9b8,     0x3feab7325916c0d4,     //  -0.55046,   0.83486
+    0xbfe1b250171373be,     0x3feaa9547a2cb98e,     //  -0.55302,   0.83317
+    0xbfe1c73b39ae68c8,     0x3fea9b66290ea1a3,     //  -0.55557,   0.83147
+    0xbfe1dc1b64dc4872,     0x3fea8d676e545ad2,     //  -0.55812,   0.82976
+    0xbfe1f0f08bbc861b,     0x3fea7f58529fe69d,     //  -0.56066,   0.82805
+    0xbfe205baa17560d6,     0x3fea7138de9d60f5,     //   -0.5632,   0.82632
+    0xbfe21a799933eb58,     0x3fea63091b02fae2,     //  -0.56573,   0.82459
+    0xbfe22f2d662c13e1,     0x3fea54c91090f524,     //  -0.56826,   0.82285
+    0xbfe243d5fb98ac1f,     0x3fea4678c8119ac8,     //  -0.57078,    0.8211
+    0xbfe258734cbb7110,     0x3fea38184a593bc6,     //   -0.5733,   0.81935
+    0xbfe26d054cdd12df,     0x3fea29a7a0462782,     //  -0.57581,   0.81758
+    0xbfe2818bef4d3cba,     0x3fea1b26d2c0a75e,     //  -0.57831,   0.81581
+    0xbfe2960727629ca8,     0x3fea0c95eabaf937,     //  -0.58081,   0.81404
+    0xbfe2aa76e87aeb58,     0x3fe9fdf4f13149de,     //  -0.58331,   0.81225
+    0xbfe2bedb25faf3ea,     0x3fe9ef43ef29af94,     //   -0.5858,   0.81046
+    0xbfe2d333d34e9bb7,     0x3fe9e082edb42472,     //  -0.58828,   0.80866
+    0xbfe2e780e3e8ea16,     0x3fe9d1b1f5ea80d6,     //  -0.59076,   0.80685
+    0xbfe2fbc24b441015,     0x3fe9c2d110f075c3,     //  -0.59323,   0.80503
+    0xbfe30ff7fce17035,     0x3fe9b3e047f38741,     //   -0.5957,   0.80321
+    0xbfe32421ec49a620,     0x3fe9a4dfa42b06b2,     //  -0.59816,   0.80138
+    0xbfe338400d0c8e57,     0x3fe995cf2ed80d22,     //  -0.60062,   0.79954
+    0xbfe34c5252c14de1,     0x3fe986aef1457594,     //  -0.60307,   0.79769
+    0xbfe36058b10659f3,     0x3fe9777ef4c7d742,     //  -0.60551,   0.79584
+    0xbfe374531b817f8d,     0x3fe9683f42bd7fe1,     //  -0.60795,   0.79398
+    0xbfe3884185dfeb22,     0x3fe958efe48e6dd7,     //  -0.61038,   0.79211
+    0xbfe39c23e3d63029,     0x3fe94990e3ac4a6c,     //  -0.61281,   0.79023
+    0xbfe3affa292050b9,     0x3fe93a22499263fc,     //  -0.61523,   0.78835
+    0xbfe3c3c44981c517,     0x3fe92aa41fc5a815,     //  -0.61765,   0.78646
+    0xbfe3d78238c58343,     0x3fe91b166fd49da2,     //  -0.62006,   0.78456
+    0xbfe3eb33eabe0680,     0x3fe90b7943575efe,     //  -0.62246,   0.78265
+    0xbfe3fed9534556d4,     0x3fe8fbcca3ef940d,     //  -0.62486,   0.78074
+    0xbfe41272663d108c,     0x3fe8ec109b486c49,     //  -0.62725,   0.77882
+    0xbfe425ff178e6bb1,     0x3fe8dc45331698cc,     //  -0.62964,   0.77689
+    0xbfe4397f5b2a4380,     0x3fe8cc6a75184655,     //  -0.63202,   0.77495
+    0xbfe44cf325091dd6,     0x3fe8bc806b151741,     //  -0.63439,   0.77301
+    0xbfe4605a692b32a2,     0x3fe8ac871ede1d88,     //  -0.63676,   0.77106
+    0xbfe473b51b987347,     0x3fe89c7e9a4dd4ab,     //  -0.63912,    0.7691
+    0xbfe48703306091fe,     0x3fe88c66e7481ba1,     //  -0.64148,   0.76714
+    0xbfe49a449b9b0938,     0x3fe87c400fba2ebf,     //  -0.64383,   0.76517
+    0xbfe4ad79516722f0,     0x3fe86c0a1d9aa195,     //  -0.64618,   0.76319
+    0xbfe4c0a145ec0004,     0x3fe85bc51ae958cc,     //  -0.64851,    0.7612
+    0xbfe4d3bc6d589f80,     0x3fe84b7111af83f9,     //  -0.65085,   0.75921
+    0xbfe4e6cabbe3e5e9,     0x3fe83b0e0bff976e,     //  -0.65317,   0.75721
+    0xbfe4f9cc25cca486,     0x3fe82a9c13f545ff,     //  -0.65549,    0.7552
+    0xbfe50cc09f59a09b,     0x3fe81a1b33b57acc,     //  -0.65781,   0.75319
+    0xbfe51fa81cd99aa6,     0x3fe8098b756e52fa,     //  -0.66011,   0.75117
+    0xbfe5328292a35596,     0x3fe7f8ece3571771,     //  -0.66242,   0.74914
+    0xbfe5454ff5159dfb,     0x3fe7e83f87b03686,     //  -0.66471,    0.7471
+    0xbfe5581038975137,     0x3fe7d7836cc33db2,     //    -0.667,   0.74506
+    0xbfe56ac35197649e,     0x3fe7c6b89ce2d333,     //  -0.66928,   0.74301
+    0xbfe57d69348cec9f,     0x3fe7b5df226aafb0,     //  -0.67156,   0.74095
+    0xbfe59001d5f723df,     0x3fe7a4f707bf97d2,     //  -0.67383,   0.73889
+    0xbfe5a28d2a5d7250,     0x3fe79400574f55e4,     //  -0.67609,   0.73682
+    0xbfe5b50b264f7448,     0x3fe782fb1b90b35b,     //  -0.67835,   0.73474
+    0xbfe5c77bbe65018c,     0x3fe771e75f037261,     //   -0.6806,   0.73265
+    0xbfe5d9dee73e345c,     0x3fe760c52c304764,     //  -0.68285,   0.73056
+    0xbfe5ec3495837074,     0x3fe74f948da8d28d,     //  -0.68508,   0.72846
+    0xbfe5fe7cbde56a0f,     0x3fe73e558e079942,     //  -0.68732,   0.72636
+    0xbfe610b7551d2cde,     0x3fe72d0837efff97,     //  -0.68954,   0.72425
+    0xbfe622e44fec22ff,     0x3fe71bac960e41bf,     //  -0.69176,   0.72213
+    0xbfe63503a31c1be8,     0x3fe70a42b3176d7a,     //  -0.69397,      0.72
+    0xbfe64715437f535b,     0x3fe6f8ca99c95b75,     //  -0.69618,   0.71787
+    0xbfe6591925f0783e,     0x3fe6e74454eaa8ae,     //  -0.69838,   0.71573
+    0xbfe66b0f3f52b386,     0x3fe6d5afef4aafcc,     //  -0.70057,   0.71358
+    0xbfe67cf78491af10,     0x3fe6c40d73c18275,     //  -0.70275,   0.71143
+    0xbfe68ed1eaa19c71,     0x3fe6b25ced2fe29c,     //  -0.70493,   0.70927
+    0xbfe6a09e667f3bcc,     0x3fe6a09e667f3bcc,     //  -0.70711,   0.70711
+    0xbfe6b25ced2fe29c,     0x3fe68ed1eaa19c71,     //  -0.70927,   0.70493
+    0xbfe6c40d73c18275,     0x3fe67cf78491af10,     //  -0.71143,   0.70275
+    0xbfe6d5afef4aafcc,     0x3fe66b0f3f52b386,     //  -0.71358,   0.70057
+    0xbfe6e74454eaa8ae,     0x3fe6591925f0783e,     //  -0.71573,   0.69838
+    0xbfe6f8ca99c95b75,     0x3fe64715437f535b,     //  -0.71787,   0.69618
+    0xbfe70a42b3176d7a,     0x3fe63503a31c1be8,     //     -0.72,   0.69397
+    0xbfe71bac960e41bf,     0x3fe622e44fec22ff,     //  -0.72213,   0.69176
+    0xbfe72d0837efff97,     0x3fe610b7551d2cde,     //  -0.72425,   0.68954
+    0xbfe73e558e079942,     0x3fe5fe7cbde56a0f,     //  -0.72636,   0.68732
+    0xbfe74f948da8d28d,     0x3fe5ec3495837074,     //  -0.72846,   0.68508
+    0xbfe760c52c304764,     0x3fe5d9dee73e345c,     //  -0.73056,   0.68285
+    0xbfe771e75f037261,     0x3fe5c77bbe65018c,     //  -0.73265,    0.6806
+    0xbfe782fb1b90b35b,     0x3fe5b50b264f7448,     //  -0.73474,   0.67835
+    0xbfe79400574f55e4,     0x3fe5a28d2a5d7250,     //  -0.73682,   0.67609
+    0xbfe7a4f707bf97d2,     0x3fe59001d5f723df,     //  -0.73889,   0.67383
+    0xbfe7b5df226aafb0,     0x3fe57d69348cec9f,     //  -0.74095,   0.67156
+    0xbfe7c6b89ce2d333,     0x3fe56ac35197649e,     //  -0.74301,   0.66928
+    0xbfe7d7836cc33db2,     0x3fe5581038975137,     //  -0.74506,     0.667
+    0xbfe7e83f87b03686,     0x3fe5454ff5159dfb,     //   -0.7471,   0.66471
+    0xbfe7f8ece3571771,     0x3fe5328292a35596,     //  -0.74914,   0.66242
+    0xbfe8098b756e52fa,     0x3fe51fa81cd99aa6,     //  -0.75117,   0.66011
+    0xbfe81a1b33b57acc,     0x3fe50cc09f59a09b,     //  -0.75319,   0.65781
+    0xbfe82a9c13f545ff,     0x3fe4f9cc25cca486,     //   -0.7552,   0.65549
+    0xbfe83b0e0bff976e,     0x3fe4e6cabbe3e5e9,     //  -0.75721,   0.65317
+    0xbfe84b7111af83f9,     0x3fe4d3bc6d589f80,     //  -0.75921,   0.65085
+    0xbfe85bc51ae958cc,     0x3fe4c0a145ec0004,     //   -0.7612,   0.64851
+    0xbfe86c0a1d9aa195,     0x3fe4ad79516722f0,     //  -0.76319,   0.64618
+    0xbfe87c400fba2ebf,     0x3fe49a449b9b0938,     //  -0.76517,   0.64383
+    0xbfe88c66e7481ba1,     0x3fe48703306091fe,     //  -0.76714,   0.64148
+    0xbfe89c7e9a4dd4ab,     0x3fe473b51b987347,     //   -0.7691,   0.63912
+    0xbfe8ac871ede1d88,     0x3fe4605a692b32a2,     //  -0.77106,   0.63676
+    0xbfe8bc806b151741,     0x3fe44cf325091dd6,     //  -0.77301,   0.63439
+    0xbfe8cc6a75184655,     0x3fe4397f5b2a4380,     //  -0.77495,   0.63202
+    0xbfe8dc45331698cc,     0x3fe425ff178e6bb1,     //  -0.77689,   0.62964
+    0xbfe8ec109b486c49,     0x3fe41272663d108c,     //  -0.77882,   0.62725
+    0xbfe8fbcca3ef940d,     0x3fe3fed9534556d4,     //  -0.78074,   0.62486
+    0xbfe90b7943575efe,     0x3fe3eb33eabe0680,     //  -0.78265,   0.62246
+    0xbfe91b166fd49da2,     0x3fe3d78238c58343,     //  -0.78456,   0.62006
+    0xbfe92aa41fc5a815,     0x3fe3c3c44981c517,     //  -0.78646,   0.61765
+    0xbfe93a22499263fc,     0x3fe3affa292050b9,     //  -0.78835,   0.61523
+    0xbfe94990e3ac4a6c,     0x3fe39c23e3d63029,     //  -0.79023,   0.61281
+    0xbfe958efe48e6dd7,     0x3fe3884185dfeb22,     //  -0.79211,   0.61038
+    0xbfe9683f42bd7fe1,     0x3fe374531b817f8d,     //  -0.79398,   0.60795
+    0xbfe9777ef4c7d742,     0x3fe36058b10659f3,     //  -0.79584,   0.60551
+    0xbfe986aef1457594,     0x3fe34c5252c14de1,     //  -0.79769,   0.60307
+    0xbfe995cf2ed80d22,     0x3fe338400d0c8e57,     //  -0.79954,   0.60062
+    0xbfe9a4dfa42b06b2,     0x3fe32421ec49a620,     //  -0.80138,   0.59816
+    0xbfe9b3e047f38741,     0x3fe30ff7fce17035,     //  -0.80321,    0.5957
+    0xbfe9c2d110f075c3,     0x3fe2fbc24b441015,     //  -0.80503,   0.59323
+    0xbfe9d1b1f5ea80d6,     0x3fe2e780e3e8ea16,     //  -0.80685,   0.59076
+    0xbfe9e082edb42472,     0x3fe2d333d34e9bb7,     //  -0.80866,   0.58828
+    0xbfe9ef43ef29af94,     0x3fe2bedb25faf3ea,     //  -0.81046,    0.5858
+    0xbfe9fdf4f13149de,     0x3fe2aa76e87aeb58,     //  -0.81225,   0.58331
+    0xbfea0c95eabaf937,     0x3fe2960727629ca8,     //  -0.81404,   0.58081
+    0xbfea1b26d2c0a75e,     0x3fe2818bef4d3cba,     //  -0.81581,   0.57831
+    0xbfea29a7a0462782,     0x3fe26d054cdd12df,     //  -0.81758,   0.57581
+    0xbfea38184a593bc6,     0x3fe258734cbb7110,     //  -0.81935,    0.5733
+    0xbfea4678c8119ac8,     0x3fe243d5fb98ac1f,     //   -0.8211,   0.57078
+    0xbfea54c91090f524,     0x3fe22f2d662c13e1,     //  -0.82285,   0.56826
+    0xbfea63091b02fae2,     0x3fe21a799933eb58,     //  -0.82459,   0.56573
+    0xbfea7138de9d60f5,     0x3fe205baa17560d6,     //  -0.82632,    0.5632
+    0xbfea7f58529fe69d,     0x3fe1f0f08bbc861b,     //  -0.82805,   0.56066
+    0xbfea8d676e545ad2,     0x3fe1dc1b64dc4872,     //  -0.82976,   0.55812
+    0xbfea9b66290ea1a3,     0x3fe1c73b39ae68c8,     //  -0.83147,   0.55557
+    0xbfeaa9547a2cb98e,     0x3fe1b250171373be,     //  -0.83317,   0.55302
+    0xbfeab7325916c0d4,     0x3fe19d5a09f2b9b8,     //  -0.83486,   0.55046
+    0xbfeac4ffbd3efac8,     0x3fe188591f3a46e5,     //  -0.83655,   0.54789
+    0xbfead2bc9e21d511,     0x3fe1734d63dedb49,     //  -0.83822,   0.54532
+    0xbfeae068f345ecef,     0x3fe15e36e4dbe2bc,     //  -0.83989,   0.54275
+    0xbfeaee04b43c1474,     0x3fe14915af336ceb,     //  -0.84155,   0.54017
+    0xbfeafb8fd89f57b6,     0x3fe133e9cfee254e,     //  -0.84321,   0.53759
+    0xbfeb090a58150200,     0x3fe11eb3541b4b22,     //  -0.84485,     0.535
+    0xbfeb16742a4ca2f5,     0x3fe1097248d0a956,     //  -0.84649,    0.5324
+    0xbfeb23cd470013b4,     0x3fe0f426bb2a8e7d,     //  -0.84812,    0.5298
+    0xbfeb3115a5f37bf4,     0x3fe0ded0b84bc4b5,     //  -0.84974,    0.5272
+    0xbfeb3e4d3ef55712,     0x3fe0c9704d5d898f,     //  -0.85136,   0.52459
+    0xbfeb4b7409de7925,     0x3fe0b405878f85ec,     //  -0.85296,   0.52198
+    0xbfeb5889fe921405,     0x3fe09e907417c5e1,     //  -0.85456,   0.51936
+    0xbfeb658f14fdbc47,     0x3fe089112032b08c,     //  -0.85615,   0.51673
+    0xbfeb728345196e3e,     0x3fe073879922ffed,     //  -0.85773,    0.5141
+    0xbfeb7f6686e792ea,     0x3fe05df3ec31b8b6,     //   -0.8593,   0.51147
+    0xbfeb8c38d27504e9,     0x3fe0485626ae221a,     //  -0.86087,   0.50883
+    0xbfeb98fa1fd9155e,     0x3fe032ae55edbd95,     //  -0.86242,   0.50619
+    0xbfeba5aa673590d2,     0x3fe01cfc874c3eb7,     //  -0.86397,   0.50354
+    0xbfebb249a0b6c40d,     0x3fe00740c82b82e0,     //  -0.86551,   0.50089
+    0xbfebbed7c49380ea,     0x3fdfe2f64be7120f,     //  -0.86705,   0.49823
+    0xbfebcb54cb0d2327,     0x3fdfb7575c24d2de,     //  -0.86857,   0.49557
+    0xbfebd7c0ac6f952a,     0x3fdf8ba4dbf89aba,     //  -0.87009,    0.4929
+    0xbfebe41b611154c1,     0x3fdf5fdee656cda3,     //   -0.8716,   0.49023
+    0xbfebf064e15377dd,     0x3fdf3405963fd068,     //  -0.87309,   0.48755
+    0xbfebfc9d25a1b147,     0x3fdf081906bff7fd,     //  -0.87459,   0.48487
+    0xbfec08c426725549,     0x3fdedc1952ef78d5,     //  -0.87607,   0.48218
+    0xbfec14d9dc465e58,     0x3fdeb00695f25620,     //  -0.87755,   0.47949
+    0xbfec20de3fa971b0,     0x3fde83e0eaf85113,     //  -0.87901,    0.4768
+    0xbfec2cd14931e3f1,     0x3fde57a86d3cd824,     //  -0.88047,    0.4741
+    0xbfec38b2f180bdb1,     0x3fde2b5d3806f63b,     //  -0.88192,    0.4714
+    0xbfec44833141c004,     0x3fddfeff66a941de,     //  -0.88336,   0.46869
+    0xbfec5042012b6907,     0x3fddd28f1481cc58,     //   -0.8848,   0.46598
+    0xbfec5bef59fef85a,     0x3fdda60c5cfa10d8,     //  -0.88622,   0.46326
+    0xbfec678b3488739b,     0x3fdd79775b86e389,     //  -0.88764,   0.46054
+    0xbfec7315899eaad7,     0x3fdd4cd02ba8609c,     //  -0.88905,   0.45781
+    0xbfec7e8e52233cf3,     0x3fdd2016e8e9db5b,     //  -0.89045,   0.45508
+    0xbfec89f587029c13,     0x3fdcf34baee1cd21,     //  -0.89184,   0.45235
+    0xbfec954b213411f5,     0x3fdcc66e9931c45d,     //  -0.89322,   0.44961
+    0xbfeca08f19b9c449,     0x3fdc997fc3865388,     //   -0.8946,   0.44687
+    0xbfecabc169a0b901,     0x3fdc6c7f4997000a,     //  -0.89597,   0.44412
+    0xbfecb6e20a00da99,     0x3fdc3f6d47263129,     //  -0.89732,   0.44137
+    0xbfecc1f0f3fcfc5c,     0x3fdc1249d8011ee7,     //  -0.89867,   0.43862
+    0xbfecccee20c2de9f,     0x3fdbe51517ffc0d9,     //  -0.90002,   0.43586
+    0xbfecd7d9898b32f6,     0x3fdbb7cf2304bd01,     //  -0.90135,   0.43309
+    0xbfece2b32799a060,     0x3fdb8a7814fd5693,     //  -0.90267,   0.43033
+    0xbfeced7af43cc773,     0x3fdb5d1009e15cc0,     //  -0.90399,   0.42756
+    0xbfecf830e8ce467b,     0x3fdb2f971db31972,     //   -0.9053,   0.42478
+    0xbfed02d4feb2bd92,     0x3fdb020d6c7f4009,     //   -0.9066,     0.422
+    0xbfed0d672f59d2b9,     0x3fdad473125cdc08,     //  -0.90789,   0.41922
+    0xbfed17e7743e35dc,     0x3fdaa6c82b6d3fc9,     //  -0.90917,   0.41643
+    0xbfed2255c6e5a4e1,     0x3fda790cd3dbf31a,     //  -0.91044,   0.41364
+    0xbfed2cb220e0ef9f,     0x3fda4b4127dea1e4,     //  -0.91171,   0.41084
+    0xbfed36fc7bcbfbdc,     0x3fda1d6543b50ac0,     //  -0.91296,   0.40804
+    0xbfed4134d14dc93a,     0x3fd9ef7943a8ed8a,     //  -0.91421,   0.40524
+    0xbfed4b5b1b187524,     0x3fd9c17d440df9f2,     //  -0.91545,   0.40243
+    0xbfed556f52e93eb1,     0x3fd993716141bdfe,     //  -0.91668,   0.39962
+    0xbfed5f7172888a7f,     0x3fd96555b7ab948f,     //   -0.9179,   0.39681
+    0xbfed696173c9e68b,     0x3fd9372a63bc93d7,     //  -0.91911,   0.39399
+    0xbfed733f508c0dff,     0x3fd908ef81ef7bd1,     //  -0.92032,   0.39117
+    0xbfed7d0b02b8ecf9,     0x3fd8daa52ec8a4af,     //  -0.92151,   0.38835
+    0xbfed86c48445a450,     0x3fd8ac4b86d5ed44,     //   -0.9227,   0.38552
+    0xbfed906bcf328d46,     0x3fd87de2a6aea963,     //  -0.92388,   0.38268
+    0xbfed9a00dd8b3d46,     0x3fd84f6aaaf3903f,     //  -0.92505,   0.37985
+    0xbfeda383a9668988,     0x3fd820e3b04eaac4,     //  -0.92621,   0.37701
+    0xbfedacf42ce68ab9,     0x3fd7f24dd37341e3,     //  -0.92736,   0.37416
+    0xbfedb6526238a09b,     0x3fd7c3a9311dcce7,     //  -0.92851,   0.37132
+    0xbfedbf9e4395759a,     0x3fd794f5e613dfae,     //  -0.92964,   0.36847
+    0xbfedc8d7cb410260,     0x3fd766340f2418f6,     //  -0.93077,   0.36561
+    0xbfedd1fef38a915a,     0x3fd73763c9261092,     //  -0.93188,   0.36276
+    0xbfeddb13b6ccc23d,     0x3fd7088530fa459e,     //  -0.93299,    0.3599
+    0xbfede4160f6d8d81,     0x3fd6d998638a0cb5,     //  -0.93409,   0.35703
+    0xbfeded05f7de47da,     0x3fd6aa9d7dc77e16,     //  -0.93518,   0.35416
+    0xbfedf5e36a9ba59c,     0x3fd67b949cad63ca,     //  -0.93627,   0.35129
+    0xbfedfeae622dbe2b,     0x3fd64c7ddd3f27c6,     //  -0.93734,   0.34842
+    0xbfee0766d9280f54,     0x3fd61d595c88c203,     //   -0.9384,   0.34554
+    0xbfee100cca2980ac,     0x3fd5ee27379ea693,     //  -0.93946,   0.34266
+    0xbfee18a02fdc66d9,     0x3fd5bee78b9db3b6,     //  -0.94051,   0.33978
+    0xbfee212104f686e5,     0x3fd58f9a75ab1fdd,     //  -0.94154,   0.33689
+    0xbfee298f4439197a,     0x3fd5604012f467b4,     //  -0.94257,     0.334
+    0xbfee31eae870ce25,     0x3fd530d880af3c24,     //  -0.94359,   0.33111
+    0xbfee3a33ec75ce85,     0x3fd50163dc197047,     //   -0.9446,   0.32821
+    0xbfee426a4b2bc17e,     0x3fd4d1e24278e76a,     //  -0.94561,   0.32531
+    0xbfee4a8dff81ce5e,     0x3fd4a253d11b82f3,     //   -0.9466,   0.32241
+    0xbfee529f04729ffc,     0x3fd472b8a5571054,     //  -0.94759,    0.3195
+    0xbfee5a9d550467d3,     0x3fd44310dc8936f0,     //  -0.94856,   0.31659
+    0xbfee6288ec48e112,     0x3fd4135c94176602,     //  -0.94953,   0.31368
+    0xbfee6a61c55d53a7,     0x3fd3e39be96ec271,     //  -0.95049,   0.31077
+    0xbfee7227db6a9744,     0x3fd3b3cefa0414b7,     //  -0.95144,   0.30785
+    0xbfee79db29a5165a,     0x3fd383f5e353b6aa,     //  -0.95238,   0.30493
+    0xbfee817bab4cd10d,     0x3fd35410c2e18152,     //  -0.95331,   0.30201
+    0xbfee89095bad6025,     0x3fd3241fb638baaf,     //  -0.95423,   0.29908
+    0xbfee9084361df7f3,     0x3fd2f422daec0386,     //  -0.95514,   0.29615
+    0xbfee97ec36016b30,     0x3fd2c41a4e954520,     //  -0.95605,   0.29322
+    0xbfee9f4156c62dda,     0x3fd294062ed59f05,     //  -0.95694,   0.29028
+    0xbfeea68393e65800,     0x3fd263e6995554ba,     //  -0.95783,   0.28735
+    0xbfeeadb2e8e7a88e,     0x3fd233bbabc3bb72,     //   -0.9587,   0.28441
+    0xbfeeb4cf515b8811,     0x3fd2038583d727bd,     //  -0.95957,   0.28146
+    0xbfeebbd8c8df0b74,     0x3fd1d3443f4cdb3d,     //  -0.96043,   0.27852
+    0xbfeec2cf4b1af6b2,     0x3fd1a2f7fbe8f243,     //  -0.96128,   0.27557
+    0xbfeec9b2d3c3bf84,     0x3fd172a0d7765177,     //  -0.96212,   0.27262
+    0xbfeed0835e999009,     0x3fd1423eefc69378,     //  -0.96295,   0.26967
+    0xbfeed740e7684963,     0x3fd111d262b1f677,     //  -0.96378,   0.26671
+    0xbfeeddeb6a078651,     0x3fd0e15b4e1749cd,     //  -0.96459,   0.26375
+    0xbfeee482e25a9dbc,     0x3fd0b0d9cfdbdb90,     //  -0.96539,   0.26079
+    0xbfeeeb074c50a544,     0x3fd0804e05eb661e,     //  -0.96619,   0.25783
+    0xbfeef178a3e473c2,     0x3fd04fb80e37fdae,     //  -0.96698,   0.25487
+    0xbfeef7d6e51ca3c0,     0x3fd01f1806b9fdd2,     //  -0.96775,    0.2519
+    0xbfeefe220c0b95ec,     0x3fcfdcdc1adfedf8,     //  -0.96852,   0.24893
+    0xbfef045a14cf738c,     0x3fcf7b7480bd3801,     //  -0.96928,   0.24596
+    0xbfef0a7efb9230d7,     0x3fcf19f97b215f1a,     //  -0.97003,   0.24298
+    0xbfef1090bc898f5f,     0x3fceb86b462de348,     //  -0.97077,      0.24
+    0xbfef168f53f7205d,     0x3fce56ca1e101a1b,     //   -0.9715,   0.23702
+    0xbfef1c7abe284708,     0x3fcdf5163f01099a,     //  -0.97223,   0.23404
+    0xbfef2252f7763ada,     0x3fcd934fe5454311,     //  -0.97294,   0.23106
+    0xbfef2817fc4609ce,     0x3fcd31774d2cbdee,     //  -0.97364,   0.22807
+    0xbfef2dc9c9089a9d,     0x3fcccf8cb312b286,     //  -0.97434,   0.22508
+    0xbfef33685a3aaef0,     0x3fcc6d90535d74dc,     //  -0.97503,   0.22209
+    0xbfef38f3ac64e589,     0x3fcc0b826a7e4f63,     //   -0.9757,    0.2191
+    0xbfef3e6bbc1bbc65,     0x3fcba96334f15dad,     //  -0.97637,   0.21611
+    0xbfef43d085ff92dd,     0x3fcb4732ef3d6722,     //  -0.97703,   0.21311
+    0xbfef492206bcabb4,     0x3fcae4f1d5f3b9ab,     //  -0.97768,   0.21011
+    0xbfef4e603b0b2f2d,     0x3fca82a025b00451,     //  -0.97832,   0.20711
+    0xbfef538b1faf2d07,     0x3fca203e1b1831da,     //  -0.97895,   0.20411
+    0xbfef58a2b1789e84,     0x3fc9bdcbf2dc4366,     //  -0.97957,    0.2011
+    0xbfef5da6ed43685d,     0x3fc95b49e9b62af9,     //  -0.98018,    0.1981
+    0xbfef6297cff75cb0,     0x3fc8f8b83c69a60a,     //  -0.98079,   0.19509
+    0xbfef677556883cee,     0x3fc8961727c41804,     //  -0.98138,   0.19208
+    0xbfef6c3f7df5bbb7,     0x3fc83366e89c64c5,     //  -0.98196,   0.18907
+    0xbfef70f6434b7eb7,     0x3fc7d0a7bbd2cb1b,     //  -0.98254,   0.18606
+    0xbfef7599a3a12077,     0x3fc76dd9de50bf31,     //  -0.98311,   0.18304
+    0xbfef7a299c1a322a,     0x3fc70afd8d08c4ff,     //  -0.98366,   0.18002
+    0xbfef7ea629e63d6e,     0x3fc6a81304f64ab2,     //  -0.98421,     0.177
+    0xbfef830f4a40c60c,     0x3fc6451a831d830d,     //  -0.98475,   0.17398
+    0xbfef8764fa714ba9,     0x3fc5e214448b3fc6,     //  -0.98528,   0.17096
+    0xbfef8ba737cb4b78,     0x3fc57f008654cbde,     //   -0.9858,   0.16794
+    0xbfef8fd5ffae41db,     0x3fc51bdf8597c5f2,     //  -0.98631,   0.16491
+    0xbfef93f14f85ac08,     0x3fc4b8b17f79fa88,     //  -0.98681,   0.16189
+    0xbfef97f924c9099b,     0x3fc45576b1293e5a,     //   -0.9873,   0.15886
+    0xbfef9bed7cfbde29,     0x3fc3f22f57db4893,     //  -0.98778,   0.15583
+    0xbfef9fce55adb2c8,     0x3fc38edbb0cd8d14,     //  -0.98826,    0.1528
+    0xbfefa39bac7a1791,     0x3fc32b7bf94516a7,     //  -0.98872,   0.14976
+    0xbfefa7557f08a517,     0x3fc2c8106e8e613a,     //  -0.98918,   0.14673
+    0xbfefaafbcb0cfddc,     0x3fc264994dfd340a,     //  -0.98962,    0.1437
+    0xbfefae8e8e46cfbb,     0x3fc20116d4ec7bce,     //  -0.99006,   0.14066
+    0xbfefb20dc681d54d,     0x3fc19d8940be24e7,     //  -0.99049,   0.13762
+    0xbfefb5797195d741,     0x3fc139f0cedaf576,     //   -0.9909,   0.13458
+    0xbfefb8d18d66adb7,     0x3fc0d64dbcb26786,     //  -0.99131,   0.13154
+    0xbfefbc1617e44186,     0x3fc072a047ba831d,     //  -0.99171,    0.1285
+    0xbfefbf470f0a8d88,     0x3fc00ee8ad6fb85b,     //   -0.9921,   0.12545
+    0xbfefc26470e19fd3,     0x3fbf564e56a9730e,     //  -0.99248,   0.12241
+    0xbfefc56e3b7d9af6,     0x3fbe8eb7fde4aa3e,     //  -0.99285,   0.11937
+    0xbfefc8646cfeb721,     0x3fbdc70ecbae9fc8,     //  -0.99321,   0.11632
+    0xbfefcb4703914354,     0x3fbcff533b307dc1,     //  -0.99356,   0.11327
+    0xbfefce15fd6da67b,     0x3fbc3785c79ec2d5,     //  -0.99391,   0.11022
+    0xbfefd0d158d86087,     0x3fbb6fa6ec38f64c,     //  -0.99424,   0.10717
+    0xbfefd37914220b84,     0x3fbaa7b724495c04,     //  -0.99456,   0.10412
+    0xbfefd60d2da75c9e,     0x3fb9dfb6eb24a85c,     //  -0.99488,   0.10107
+    0xbfefd88da3d12526,     0x3fb917a6bc29b42c,     //  -0.99518,  0.098017
+    0xbfefdafa7514538c,     0x3fb84f8712c130a0,     //  -0.99548,  0.094963
+    0xbfefdd539ff1f456,     0x3fb787586a5d5b21,     //  -0.99577,  0.091909
+    0xbfefdf9922f73307,     0x3fb6bf1b3e79b129,     //  -0.99604,  0.088854
+    0xbfefe1cafcbd5b09,     0x3fb5f6d00a9aa419,     //  -0.99631,  0.085797
+    0xbfefe3e92be9d886,     0x3fb52e774a4d4d0a,     //  -0.99657,   0.08274
+    0xbfefe5f3af2e3940,     0x3fb4661179272096,     //  -0.99682,  0.079682
+    0xbfefe7ea85482d60,     0x3fb39d9f12c5a299,     //  -0.99706,  0.076624
+    0xbfefe9cdad01883a,     0x3fb2d52092ce19f6,     //  -0.99729,  0.073565
+    0xbfefeb9d2530410f,     0x3fb20c9674ed444c,     //  -0.99751,  0.070505
+    0xbfefed58ecb673c4,     0x3fb1440134d709b2,     //  -0.99772,  0.067444
+    0xbfefef0102826191,     0x3fb07b614e463064,     //  -0.99793,  0.064383
+    0xbfeff095658e71ad,     0x3faf656e79f820e0,     //  -0.99812,  0.061321
+    0xbfeff21614e131ed,     0x3fadd406f9808ec8,     //   -0.9983,  0.058258
+    0xbfeff3830f8d575c,     0x3fac428d12c0d7e3,     //  -0.99848,  0.055195
+    0xbfeff4dc54b1bed3,     0x3faab101bd5f8317,     //  -0.99864,  0.052132
+    0xbfeff621e3796d7e,     0x3fa91f65f10dd814,     //   -0.9988,  0.049068
+    0xbfeff753bb1b9164,     0x3fa78dbaa5874685,     //  -0.99894,  0.046003
+    0xbfeff871dadb81df,     0x3fa5fc00d290cd43,     //  -0.99908,  0.042938
+    0xbfeff97c4208c014,     0x3fa46a396ff86179,     //   -0.9992,  0.039873
+    0xbfeffa72effef75d,     0x3fa2d865759455cd,     //  -0.99932,  0.036807
+    0xbfeffb55e425fdae,     0x3fa14685db42c17e,     //  -0.99943,  0.033741
+    0xbfeffc251df1d3f8,     0x3f9f693731d1cf01,     //  -0.99953,  0.030675
+    0xbfeffce09ce2a679,     0x3f9c454f4ce53b1c,     //  -0.99962,  0.027608
+    0xbfeffd886084cd0d,     0x3f992155f7a3667e,     //   -0.9997,  0.024541
+    0xbfeffe1c6870cb77,     0x3f95fd4d21fab226,     //  -0.99977,  0.021474
+    0xbfeffe9cb44b51a1,     0x3f92d936bbe30efd,     //  -0.99983,  0.018407
+    0xbfefff0943c53bd1,     0x3f8f6a296ab997ca,     //  -0.99988,  0.015339
+    0xbfefff62169b92db,     0x3f8921d1fcdec784,     //  -0.99992,  0.012272
+    0xbfefffa72c978c4f,     0x3f82d96b0e509703,     //  -0.99996, 0.0092038
+    0xbfefffd8858e8a92,     0x3f7921f0fe670071,     //  -0.99998, 0.0061359
+    0xbfeffff621621d02,     0x3f6921f8becca4ba,     //        -1,  0.003068
+    0xbff0000000000000,     0x0000000000000000,     //        -1,         0
+    0xbfeffff621621d02,     0xbf6921f8becca4ba,     //        -1, -0.003068
+    0xbfefffd8858e8a92,     0xbf7921f0fe670071,     //  -0.99998,-0.0061359
+    0xbfefffa72c978c4f,     0xbf82d96b0e509703,     //  -0.99996,-0.0092038
+    0xbfefff62169b92db,     0xbf8921d1fcdec784,     //  -0.99992, -0.012272
+    0xbfefff0943c53bd1,     0xbf8f6a296ab997ca,     //  -0.99988, -0.015339
+    0xbfeffe9cb44b51a1,     0xbf92d936bbe30efd,     //  -0.99983, -0.018407
+    0xbfeffe1c6870cb77,     0xbf95fd4d21fab226,     //  -0.99977, -0.021474
+    0xbfeffd886084cd0d,     0xbf992155f7a3667e,     //   -0.9997, -0.024541
+    0xbfeffce09ce2a679,     0xbf9c454f4ce53b1c,     //  -0.99962, -0.027608
+    0xbfeffc251df1d3f8,     0xbf9f693731d1cf01,     //  -0.99953, -0.030675
+    0xbfeffb55e425fdae,     0xbfa14685db42c17e,     //  -0.99943, -0.033741
+    0xbfeffa72effef75d,     0xbfa2d865759455cd,     //  -0.99932, -0.036807
+    0xbfeff97c4208c014,     0xbfa46a396ff86179,     //   -0.9992, -0.039873
+    0xbfeff871dadb81df,     0xbfa5fc00d290cd43,     //  -0.99908, -0.042938
+    0xbfeff753bb1b9164,     0xbfa78dbaa5874685,     //  -0.99894, -0.046003
+    0xbfeff621e3796d7e,     0xbfa91f65f10dd814,     //   -0.9988, -0.049068
+    0xbfeff4dc54b1bed3,     0xbfaab101bd5f8317,     //  -0.99864, -0.052132
+    0xbfeff3830f8d575c,     0xbfac428d12c0d7e3,     //  -0.99848, -0.055195
+    0xbfeff21614e131ed,     0xbfadd406f9808ec8,     //   -0.9983, -0.058258
+    0xbfeff095658e71ad,     0xbfaf656e79f820e0,     //  -0.99812, -0.061321
+    0xbfefef0102826191,     0xbfb07b614e463064,     //  -0.99793, -0.064383
+    0xbfefed58ecb673c4,     0xbfb1440134d709b2,     //  -0.99772, -0.067444
+    0xbfefeb9d2530410f,     0xbfb20c9674ed444c,     //  -0.99751, -0.070505
+    0xbfefe9cdad01883a,     0xbfb2d52092ce19f6,     //  -0.99729, -0.073565
+    0xbfefe7ea85482d60,     0xbfb39d9f12c5a299,     //  -0.99706, -0.076624
+    0xbfefe5f3af2e3940,     0xbfb4661179272096,     //  -0.99682, -0.079682
+    0xbfefe3e92be9d886,     0xbfb52e774a4d4d0a,     //  -0.99657,  -0.08274
+    0xbfefe1cafcbd5b09,     0xbfb5f6d00a9aa419,     //  -0.99631, -0.085797
+    0xbfefdf9922f73307,     0xbfb6bf1b3e79b129,     //  -0.99604, -0.088854
+    0xbfefdd539ff1f456,     0xbfb787586a5d5b21,     //  -0.99577, -0.091909
+    0xbfefdafa7514538c,     0xbfb84f8712c130a0,     //  -0.99548, -0.094963
+    0xbfefd88da3d12526,     0xbfb917a6bc29b42c,     //  -0.99518, -0.098017
+    0xbfefd60d2da75c9e,     0xbfb9dfb6eb24a85c,     //  -0.99488,  -0.10107
+    0xbfefd37914220b84,     0xbfbaa7b724495c04,     //  -0.99456,  -0.10412
+    0xbfefd0d158d86087,     0xbfbb6fa6ec38f64c,     //  -0.99424,  -0.10717
+    0xbfefce15fd6da67b,     0xbfbc3785c79ec2d5,     //  -0.99391,  -0.11022
+    0xbfefcb4703914354,     0xbfbcff533b307dc1,     //  -0.99356,  -0.11327
+    0xbfefc8646cfeb721,     0xbfbdc70ecbae9fc8,     //  -0.99321,  -0.11632
+    0xbfefc56e3b7d9af6,     0xbfbe8eb7fde4aa3e,     //  -0.99285,  -0.11937
+    0xbfefc26470e19fd3,     0xbfbf564e56a9730e,     //  -0.99248,  -0.12241
+    0xbfefbf470f0a8d88,     0xbfc00ee8ad6fb85b,     //   -0.9921,  -0.12545
+    0xbfefbc1617e44186,     0xbfc072a047ba831d,     //  -0.99171,   -0.1285
+    0xbfefb8d18d66adb7,     0xbfc0d64dbcb26786,     //  -0.99131,  -0.13154
+    0xbfefb5797195d741,     0xbfc139f0cedaf576,     //   -0.9909,  -0.13458
+    0xbfefb20dc681d54d,     0xbfc19d8940be24e7,     //  -0.99049,  -0.13762
+    0xbfefae8e8e46cfbb,     0xbfc20116d4ec7bce,     //  -0.99006,  -0.14066
+    0xbfefaafbcb0cfddc,     0xbfc264994dfd340a,     //  -0.98962,   -0.1437
+    0xbfefa7557f08a517,     0xbfc2c8106e8e613a,     //  -0.98918,  -0.14673
+    0xbfefa39bac7a1791,     0xbfc32b7bf94516a7,     //  -0.98872,  -0.14976
+    0xbfef9fce55adb2c8,     0xbfc38edbb0cd8d14,     //  -0.98826,   -0.1528
+    0xbfef9bed7cfbde29,     0xbfc3f22f57db4893,     //  -0.98778,  -0.15583
+    0xbfef97f924c9099b,     0xbfc45576b1293e5a,     //   -0.9873,  -0.15886
+    0xbfef93f14f85ac08,     0xbfc4b8b17f79fa88,     //  -0.98681,  -0.16189
+    0xbfef8fd5ffae41db,     0xbfc51bdf8597c5f2,     //  -0.98631,  -0.16491
+    0xbfef8ba737cb4b78,     0xbfc57f008654cbde,     //   -0.9858,  -0.16794
+    0xbfef8764fa714ba9,     0xbfc5e214448b3fc6,     //  -0.98528,  -0.17096
+    0xbfef830f4a40c60c,     0xbfc6451a831d830d,     //  -0.98475,  -0.17398
+    0xbfef7ea629e63d6e,     0xbfc6a81304f64ab2,     //  -0.98421,    -0.177
+    0xbfef7a299c1a322a,     0xbfc70afd8d08c4ff,     //  -0.98366,  -0.18002
+    0xbfef7599a3a12077,     0xbfc76dd9de50bf31,     //  -0.98311,  -0.18304
+    0xbfef70f6434b7eb7,     0xbfc7d0a7bbd2cb1b,     //  -0.98254,  -0.18606
+    0xbfef6c3f7df5bbb7,     0xbfc83366e89c64c5,     //  -0.98196,  -0.18907
+    0xbfef677556883cee,     0xbfc8961727c41804,     //  -0.98138,  -0.19208
+    0xbfef6297cff75cb0,     0xbfc8f8b83c69a60a,     //  -0.98079,  -0.19509
+    0xbfef5da6ed43685d,     0xbfc95b49e9b62af9,     //  -0.98018,   -0.1981
+    0xbfef58a2b1789e84,     0xbfc9bdcbf2dc4366,     //  -0.97957,   -0.2011
+    0xbfef538b1faf2d07,     0xbfca203e1b1831da,     //  -0.97895,  -0.20411
+    0xbfef4e603b0b2f2d,     0xbfca82a025b00451,     //  -0.97832,  -0.20711
+    0xbfef492206bcabb4,     0xbfcae4f1d5f3b9ab,     //  -0.97768,  -0.21011
+    0xbfef43d085ff92dd,     0xbfcb4732ef3d6722,     //  -0.97703,  -0.21311
+    0xbfef3e6bbc1bbc65,     0xbfcba96334f15dad,     //  -0.97637,  -0.21611
+    0xbfef38f3ac64e589,     0xbfcc0b826a7e4f63,     //   -0.9757,   -0.2191
+    0xbfef33685a3aaef0,     0xbfcc6d90535d74dc,     //  -0.97503,  -0.22209
+    0xbfef2dc9c9089a9d,     0xbfcccf8cb312b286,     //  -0.97434,  -0.22508
+    0xbfef2817fc4609ce,     0xbfcd31774d2cbdee,     //  -0.97364,  -0.22807
+    0xbfef2252f7763ada,     0xbfcd934fe5454311,     //  -0.97294,  -0.23106
+    0xbfef1c7abe284708,     0xbfcdf5163f01099a,     //  -0.97223,  -0.23404
+    0xbfef168f53f7205d,     0xbfce56ca1e101a1b,     //   -0.9715,  -0.23702
+    0xbfef1090bc898f5f,     0xbfceb86b462de348,     //  -0.97077,     -0.24
+    0xbfef0a7efb9230d7,     0xbfcf19f97b215f1a,     //  -0.97003,  -0.24298
+    0xbfef045a14cf738c,     0xbfcf7b7480bd3801,     //  -0.96928,  -0.24596
+    0xbfeefe220c0b95ec,     0xbfcfdcdc1adfedf8,     //  -0.96852,  -0.24893
+    0xbfeef7d6e51ca3c0,     0xbfd01f1806b9fdd2,     //  -0.96775,   -0.2519
+    0xbfeef178a3e473c2,     0xbfd04fb80e37fdae,     //  -0.96698,  -0.25487
+    0xbfeeeb074c50a544,     0xbfd0804e05eb661e,     //  -0.96619,  -0.25783
+    0xbfeee482e25a9dbc,     0xbfd0b0d9cfdbdb90,     //  -0.96539,  -0.26079
+    0xbfeeddeb6a078651,     0xbfd0e15b4e1749cd,     //  -0.96459,  -0.26375
+    0xbfeed740e7684963,     0xbfd111d262b1f677,     //  -0.96378,  -0.26671
+    0xbfeed0835e999009,     0xbfd1423eefc69378,     //  -0.96295,  -0.26967
+    0xbfeec9b2d3c3bf84,     0xbfd172a0d7765177,     //  -0.96212,  -0.27262
+    0xbfeec2cf4b1af6b2,     0xbfd1a2f7fbe8f243,     //  -0.96128,  -0.27557
+    0xbfeebbd8c8df0b74,     0xbfd1d3443f4cdb3d,     //  -0.96043,  -0.27852
+    0xbfeeb4cf515b8811,     0xbfd2038583d727bd,     //  -0.95957,  -0.28146
+    0xbfeeadb2e8e7a88e,     0xbfd233bbabc3bb72,     //   -0.9587,  -0.28441
+    0xbfeea68393e65800,     0xbfd263e6995554ba,     //  -0.95783,  -0.28735
+    0xbfee9f4156c62dda,     0xbfd294062ed59f05,     //  -0.95694,  -0.29028
+    0xbfee97ec36016b30,     0xbfd2c41a4e954520,     //  -0.95605,  -0.29322
+    0xbfee9084361df7f3,     0xbfd2f422daec0386,     //  -0.95514,  -0.29615
+    0xbfee89095bad6025,     0xbfd3241fb638baaf,     //  -0.95423,  -0.29908
+    0xbfee817bab4cd10d,     0xbfd35410c2e18152,     //  -0.95331,  -0.30201
+    0xbfee79db29a5165a,     0xbfd383f5e353b6aa,     //  -0.95238,  -0.30493
+    0xbfee7227db6a9744,     0xbfd3b3cefa0414b7,     //  -0.95144,  -0.30785
+    0xbfee6a61c55d53a7,     0xbfd3e39be96ec271,     //  -0.95049,  -0.31077
+    0xbfee6288ec48e112,     0xbfd4135c94176602,     //  -0.94953,  -0.31368
+    0xbfee5a9d550467d3,     0xbfd44310dc8936f0,     //  -0.94856,  -0.31659
+    0xbfee529f04729ffc,     0xbfd472b8a5571054,     //  -0.94759,   -0.3195
+    0xbfee4a8dff81ce5e,     0xbfd4a253d11b82f3,     //   -0.9466,  -0.32241
+    0xbfee426a4b2bc17e,     0xbfd4d1e24278e76a,     //  -0.94561,  -0.32531
+    0xbfee3a33ec75ce85,     0xbfd50163dc197047,     //   -0.9446,  -0.32821
+    0xbfee31eae870ce25,     0xbfd530d880af3c24,     //  -0.94359,  -0.33111
+    0xbfee298f4439197a,     0xbfd5604012f467b4,     //  -0.94257,    -0.334
+    0xbfee212104f686e5,     0xbfd58f9a75ab1fdd,     //  -0.94154,  -0.33689
+    0xbfee18a02fdc66d9,     0xbfd5bee78b9db3b6,     //  -0.94051,  -0.33978
+    0xbfee100cca2980ac,     0xbfd5ee27379ea693,     //  -0.93946,  -0.34266
+    0xbfee0766d9280f54,     0xbfd61d595c88c203,     //   -0.9384,  -0.34554
+    0xbfedfeae622dbe2b,     0xbfd64c7ddd3f27c6,     //  -0.93734,  -0.34842
+    0xbfedf5e36a9ba59c,     0xbfd67b949cad63ca,     //  -0.93627,  -0.35129
+    0xbfeded05f7de47da,     0xbfd6aa9d7dc77e16,     //  -0.93518,  -0.35416
+    0xbfede4160f6d8d81,     0xbfd6d998638a0cb5,     //  -0.93409,  -0.35703
+    0xbfeddb13b6ccc23d,     0xbfd7088530fa459e,     //  -0.93299,   -0.3599
+    0xbfedd1fef38a915a,     0xbfd73763c9261092,     //  -0.93188,  -0.36276
+    0xbfedc8d7cb410260,     0xbfd766340f2418f6,     //  -0.93077,  -0.36561
+    0xbfedbf9e4395759a,     0xbfd794f5e613dfae,     //  -0.92964,  -0.36847
+    0xbfedb6526238a09b,     0xbfd7c3a9311dcce7,     //  -0.92851,  -0.37132
+    0xbfedacf42ce68ab9,     0xbfd7f24dd37341e3,     //  -0.92736,  -0.37416
+    0xbfeda383a9668988,     0xbfd820e3b04eaac4,     //  -0.92621,  -0.37701
+    0xbfed9a00dd8b3d46,     0xbfd84f6aaaf3903f,     //  -0.92505,  -0.37985
+    0xbfed906bcf328d46,     0xbfd87de2a6aea963,     //  -0.92388,  -0.38268
+    0xbfed86c48445a450,     0xbfd8ac4b86d5ed44,     //   -0.9227,  -0.38552
+    0xbfed7d0b02b8ecf9,     0xbfd8daa52ec8a4af,     //  -0.92151,  -0.38835
+    0xbfed733f508c0dff,     0xbfd908ef81ef7bd1,     //  -0.92032,  -0.39117
+    0xbfed696173c9e68b,     0xbfd9372a63bc93d7,     //  -0.91911,  -0.39399
+    0xbfed5f7172888a7f,     0xbfd96555b7ab948f,     //   -0.9179,  -0.39681
+    0xbfed556f52e93eb1,     0xbfd993716141bdfe,     //  -0.91668,  -0.39962
+    0xbfed4b5b1b187524,     0xbfd9c17d440df9f2,     //  -0.91545,  -0.40243
+    0xbfed4134d14dc93a,     0xbfd9ef7943a8ed8a,     //  -0.91421,  -0.40524
+    0xbfed36fc7bcbfbdc,     0xbfda1d6543b50ac0,     //  -0.91296,  -0.40804
+    0xbfed2cb220e0ef9f,     0xbfda4b4127dea1e4,     //  -0.91171,  -0.41084
+    0xbfed2255c6e5a4e1,     0xbfda790cd3dbf31a,     //  -0.91044,  -0.41364
+    0xbfed17e7743e35dc,     0xbfdaa6c82b6d3fc9,     //  -0.90917,  -0.41643
+    0xbfed0d672f59d2b9,     0xbfdad473125cdc08,     //  -0.90789,  -0.41922
+    0xbfed02d4feb2bd92,     0xbfdb020d6c7f4009,     //   -0.9066,    -0.422
+    0xbfecf830e8ce467b,     0xbfdb2f971db31972,     //   -0.9053,  -0.42478
+    0xbfeced7af43cc773,     0xbfdb5d1009e15cc0,     //  -0.90399,  -0.42756
+    0xbfece2b32799a060,     0xbfdb8a7814fd5693,     //  -0.90267,  -0.43033
+    0xbfecd7d9898b32f6,     0xbfdbb7cf2304bd01,     //  -0.90135,  -0.43309
+    0xbfecccee20c2de9f,     0xbfdbe51517ffc0d9,     //  -0.90002,  -0.43586
+    0xbfecc1f0f3fcfc5c,     0xbfdc1249d8011ee7,     //  -0.89867,  -0.43862
+    0xbfecb6e20a00da99,     0xbfdc3f6d47263129,     //  -0.89732,  -0.44137
+    0xbfecabc169a0b901,     0xbfdc6c7f4997000a,     //  -0.89597,  -0.44412
+    0xbfeca08f19b9c449,     0xbfdc997fc3865388,     //   -0.8946,  -0.44687
+    0xbfec954b213411f5,     0xbfdcc66e9931c45d,     //  -0.89322,  -0.44961
+    0xbfec89f587029c13,     0xbfdcf34baee1cd21,     //  -0.89184,  -0.45235
+    0xbfec7e8e52233cf3,     0xbfdd2016e8e9db5b,     //  -0.89045,  -0.45508
+    0xbfec7315899eaad7,     0xbfdd4cd02ba8609c,     //  -0.88905,  -0.45781
+    0xbfec678b3488739b,     0xbfdd79775b86e389,     //  -0.88764,  -0.46054
+    0xbfec5bef59fef85a,     0xbfdda60c5cfa10d8,     //  -0.88622,  -0.46326
+    0xbfec5042012b6907,     0xbfddd28f1481cc58,     //   -0.8848,  -0.46598
+    0xbfec44833141c004,     0xbfddfeff66a941de,     //  -0.88336,  -0.46869
+    0xbfec38b2f180bdb1,     0xbfde2b5d3806f63b,     //  -0.88192,   -0.4714
+    0xbfec2cd14931e3f1,     0xbfde57a86d3cd824,     //  -0.88047,   -0.4741
+    0xbfec20de3fa971b0,     0xbfde83e0eaf85113,     //  -0.87901,   -0.4768
+    0xbfec14d9dc465e58,     0xbfdeb00695f25620,     //  -0.87755,  -0.47949
+    0xbfec08c426725549,     0xbfdedc1952ef78d5,     //  -0.87607,  -0.48218
+    0xbfebfc9d25a1b147,     0xbfdf081906bff7fd,     //  -0.87459,  -0.48487
+    0xbfebf064e15377dd,     0xbfdf3405963fd068,     //  -0.87309,  -0.48755
+    0xbfebe41b611154c1,     0xbfdf5fdee656cda3,     //   -0.8716,  -0.49023
+    0xbfebd7c0ac6f952a,     0xbfdf8ba4dbf89aba,     //  -0.87009,   -0.4929
+    0xbfebcb54cb0d2327,     0xbfdfb7575c24d2de,     //  -0.86857,  -0.49557
+    0xbfebbed7c49380ea,     0xbfdfe2f64be7120f,     //  -0.86705,  -0.49823
+    0xbfebb249a0b6c40d,     0xbfe00740c82b82e0,     //  -0.86551,  -0.50089
+    0xbfeba5aa673590d2,     0xbfe01cfc874c3eb7,     //  -0.86397,  -0.50354
+    0xbfeb98fa1fd9155e,     0xbfe032ae55edbd95,     //  -0.86242,  -0.50619
+    0xbfeb8c38d27504e9,     0xbfe0485626ae221a,     //  -0.86087,  -0.50883
+    0xbfeb7f6686e792ea,     0xbfe05df3ec31b8b6,     //   -0.8593,  -0.51147
+    0xbfeb728345196e3e,     0xbfe073879922ffed,     //  -0.85773,   -0.5141
+    0xbfeb658f14fdbc47,     0xbfe089112032b08c,     //  -0.85615,  -0.51673
+    0xbfeb5889fe921405,     0xbfe09e907417c5e1,     //  -0.85456,  -0.51936
+    0xbfeb4b7409de7925,     0xbfe0b405878f85ec,     //  -0.85296,  -0.52198
+    0xbfeb3e4d3ef55712,     0xbfe0c9704d5d898f,     //  -0.85136,  -0.52459
+    0xbfeb3115a5f37bf4,     0xbfe0ded0b84bc4b5,     //  -0.84974,   -0.5272
+    0xbfeb23cd470013b4,     0xbfe0f426bb2a8e7d,     //  -0.84812,   -0.5298
+    0xbfeb16742a4ca2f5,     0xbfe1097248d0a956,     //  -0.84649,   -0.5324
+    0xbfeb090a58150200,     0xbfe11eb3541b4b22,     //  -0.84485,    -0.535
+    0xbfeafb8fd89f57b6,     0xbfe133e9cfee254e,     //  -0.84321,  -0.53759
+    0xbfeaee04b43c1474,     0xbfe14915af336ceb,     //  -0.84155,  -0.54017
+    0xbfeae068f345ecef,     0xbfe15e36e4dbe2bc,     //  -0.83989,  -0.54275
+    0xbfead2bc9e21d511,     0xbfe1734d63dedb49,     //  -0.83822,  -0.54532
+    0xbfeac4ffbd3efac8,     0xbfe188591f3a46e5,     //  -0.83655,  -0.54789
+    0xbfeab7325916c0d4,     0xbfe19d5a09f2b9b8,     //  -0.83486,  -0.55046
+    0xbfeaa9547a2cb98e,     0xbfe1b250171373be,     //  -0.83317,  -0.55302
+    0xbfea9b66290ea1a3,     0xbfe1c73b39ae68c8,     //  -0.83147,  -0.55557
+    0xbfea8d676e545ad2,     0xbfe1dc1b64dc4872,     //  -0.82976,  -0.55812
+    0xbfea7f58529fe69d,     0xbfe1f0f08bbc861b,     //  -0.82805,  -0.56066
+    0xbfea7138de9d60f5,     0xbfe205baa17560d6,     //  -0.82632,   -0.5632
+    0xbfea63091b02fae2,     0xbfe21a799933eb58,     //  -0.82459,  -0.56573
+    0xbfea54c91090f524,     0xbfe22f2d662c13e1,     //  -0.82285,  -0.56826
+    0xbfea4678c8119ac8,     0xbfe243d5fb98ac1f,     //   -0.8211,  -0.57078
+    0xbfea38184a593bc6,     0xbfe258734cbb7110,     //  -0.81935,   -0.5733
+    0xbfea29a7a0462782,     0xbfe26d054cdd12df,     //  -0.81758,  -0.57581
+    0xbfea1b26d2c0a75e,     0xbfe2818bef4d3cba,     //  -0.81581,  -0.57831
+    0xbfea0c95eabaf937,     0xbfe2960727629ca8,     //  -0.81404,  -0.58081
+    0xbfe9fdf4f13149de,     0xbfe2aa76e87aeb58,     //  -0.81225,  -0.58331
+    0xbfe9ef43ef29af94,     0xbfe2bedb25faf3ea,     //  -0.81046,   -0.5858
+    0xbfe9e082edb42472,     0xbfe2d333d34e9bb7,     //  -0.80866,  -0.58828
+    0xbfe9d1b1f5ea80d6,     0xbfe2e780e3e8ea16,     //  -0.80685,  -0.59076
+    0xbfe9c2d110f075c3,     0xbfe2fbc24b441015,     //  -0.80503,  -0.59323
+    0xbfe9b3e047f38741,     0xbfe30ff7fce17035,     //  -0.80321,   -0.5957
+    0xbfe9a4dfa42b06b2,     0xbfe32421ec49a620,     //  -0.80138,  -0.59816
+    0xbfe995cf2ed80d22,     0xbfe338400d0c8e57,     //  -0.79954,  -0.60062
+    0xbfe986aef1457594,     0xbfe34c5252c14de1,     //  -0.79769,  -0.60307
+    0xbfe9777ef4c7d742,     0xbfe36058b10659f3,     //  -0.79584,  -0.60551
+    0xbfe9683f42bd7fe1,     0xbfe374531b817f8d,     //  -0.79398,  -0.60795
+    0xbfe958efe48e6dd7,     0xbfe3884185dfeb22,     //  -0.79211,  -0.61038
+    0xbfe94990e3ac4a6c,     0xbfe39c23e3d63029,     //  -0.79023,  -0.61281
+    0xbfe93a22499263fc,     0xbfe3affa292050b9,     //  -0.78835,  -0.61523
+    0xbfe92aa41fc5a815,     0xbfe3c3c44981c517,     //  -0.78646,  -0.61765
+    0xbfe91b166fd49da2,     0xbfe3d78238c58343,     //  -0.78456,  -0.62006
+    0xbfe90b7943575efe,     0xbfe3eb33eabe0680,     //  -0.78265,  -0.62246
+    0xbfe8fbcca3ef940d,     0xbfe3fed9534556d4,     //  -0.78074,  -0.62486
+    0xbfe8ec109b486c49,     0xbfe41272663d108c,     //  -0.77882,  -0.62725
+    0xbfe8dc45331698cc,     0xbfe425ff178e6bb1,     //  -0.77689,  -0.62964
+    0xbfe8cc6a75184655,     0xbfe4397f5b2a4380,     //  -0.77495,  -0.63202
+    0xbfe8bc806b151741,     0xbfe44cf325091dd6,     //  -0.77301,  -0.63439
+    0xbfe8ac871ede1d88,     0xbfe4605a692b32a2,     //  -0.77106,  -0.63676
+    0xbfe89c7e9a4dd4ab,     0xbfe473b51b987347,     //   -0.7691,  -0.63912
+    0xbfe88c66e7481ba1,     0xbfe48703306091fe,     //  -0.76714,  -0.64148
+    0xbfe87c400fba2ebf,     0xbfe49a449b9b0938,     //  -0.76517,  -0.64383
+    0xbfe86c0a1d9aa195,     0xbfe4ad79516722f0,     //  -0.76319,  -0.64618
+    0xbfe85bc51ae958cc,     0xbfe4c0a145ec0004,     //   -0.7612,  -0.64851
+    0xbfe84b7111af83f9,     0xbfe4d3bc6d589f80,     //  -0.75921,  -0.65085
+    0xbfe83b0e0bff976e,     0xbfe4e6cabbe3e5e9,     //  -0.75721,  -0.65317
+    0xbfe82a9c13f545ff,     0xbfe4f9cc25cca486,     //   -0.7552,  -0.65549
+    0xbfe81a1b33b57acc,     0xbfe50cc09f59a09b,     //  -0.75319,  -0.65781
+    0xbfe8098b756e52fa,     0xbfe51fa81cd99aa6,     //  -0.75117,  -0.66011
+    0xbfe7f8ece3571771,     0xbfe5328292a35596,     //  -0.74914,  -0.66242
+    0xbfe7e83f87b03686,     0xbfe5454ff5159dfb,     //   -0.7471,  -0.66471
+    0xbfe7d7836cc33db2,     0xbfe5581038975137,     //  -0.74506,    -0.667
+    0xbfe7c6b89ce2d333,     0xbfe56ac35197649e,     //  -0.74301,  -0.66928
+    0xbfe7b5df226aafb0,     0xbfe57d69348cec9f,     //  -0.74095,  -0.67156
+    0xbfe7a4f707bf97d2,     0xbfe59001d5f723df,     //  -0.73889,  -0.67383
+    0xbfe79400574f55e4,     0xbfe5a28d2a5d7250,     //  -0.73682,  -0.67609
+    0xbfe782fb1b90b35b,     0xbfe5b50b264f7448,     //  -0.73474,  -0.67835
+    0xbfe771e75f037261,     0xbfe5c77bbe65018c,     //  -0.73265,   -0.6806
+    0xbfe760c52c304764,     0xbfe5d9dee73e345c,     //  -0.73056,  -0.68285
+    0xbfe74f948da8d28d,     0xbfe5ec3495837074,     //  -0.72846,  -0.68508
+    0xbfe73e558e079942,     0xbfe5fe7cbde56a0f,     //  -0.72636,  -0.68732
+    0xbfe72d0837efff97,     0xbfe610b7551d2cde,     //  -0.72425,  -0.68954
+    0xbfe71bac960e41bf,     0xbfe622e44fec22ff,     //  -0.72213,  -0.69176
+    0xbfe70a42b3176d7a,     0xbfe63503a31c1be8,     //     -0.72,  -0.69397
+    0xbfe6f8ca99c95b75,     0xbfe64715437f535b,     //  -0.71787,  -0.69618
+    0xbfe6e74454eaa8ae,     0xbfe6591925f0783e,     //  -0.71573,  -0.69838
+    0xbfe6d5afef4aafcc,     0xbfe66b0f3f52b386,     //  -0.71358,  -0.70057
+    0xbfe6c40d73c18275,     0xbfe67cf78491af10,     //  -0.71143,  -0.70275
+    0xbfe6b25ced2fe29c,     0xbfe68ed1eaa19c71,     //  -0.70927,  -0.70493
+    0xbfe6a09e667f3bcc,     0xbfe6a09e667f3bcc,     //  -0.70711,  -0.70711
+    0xbfe68ed1eaa19c71,     0xbfe6b25ced2fe29c,     //  -0.70493,  -0.70927
+    0xbfe67cf78491af10,     0xbfe6c40d73c18275,     //  -0.70275,  -0.71143
+    0xbfe66b0f3f52b386,     0xbfe6d5afef4aafcc,     //  -0.70057,  -0.71358
+    0xbfe6591925f0783e,     0xbfe6e74454eaa8ae,     //  -0.69838,  -0.71573
+    0xbfe64715437f535b,     0xbfe6f8ca99c95b75,     //  -0.69618,  -0.71787
+    0xbfe63503a31c1be8,     0xbfe70a42b3176d7a,     //  -0.69397,     -0.72
+    0xbfe622e44fec22ff,     0xbfe71bac960e41bf,     //  -0.69176,  -0.72213
+    0xbfe610b7551d2cde,     0xbfe72d0837efff97,     //  -0.68954,  -0.72425
+    0xbfe5fe7cbde56a0f,     0xbfe73e558e079942,     //  -0.68732,  -0.72636
+    0xbfe5ec3495837074,     0xbfe74f948da8d28d,     //  -0.68508,  -0.72846
+    0xbfe5d9dee73e345c,     0xbfe760c52c304764,     //  -0.68285,  -0.73056
+    0xbfe5c77bbe65018c,     0xbfe771e75f037261,     //   -0.6806,  -0.73265
+    0xbfe5b50b264f7448,     0xbfe782fb1b90b35b,     //  -0.67835,  -0.73474
+    0xbfe5a28d2a5d7250,     0xbfe79400574f55e4,     //  -0.67609,  -0.73682
+    0xbfe59001d5f723df,     0xbfe7a4f707bf97d2,     //  -0.67383,  -0.73889
+    0xbfe57d69348cec9f,     0xbfe7b5df226aafb0,     //  -0.67156,  -0.74095
+    0xbfe56ac35197649e,     0xbfe7c6b89ce2d333,     //  -0.66928,  -0.74301
+    0xbfe5581038975137,     0xbfe7d7836cc33db2,     //    -0.667,  -0.74506
+    0xbfe5454ff5159dfb,     0xbfe7e83f87b03686,     //  -0.66471,   -0.7471
+    0xbfe5328292a35596,     0xbfe7f8ece3571771,     //  -0.66242,  -0.74914
+    0xbfe51fa81cd99aa6,     0xbfe8098b756e52fa,     //  -0.66011,  -0.75117
+    0xbfe50cc09f59a09b,     0xbfe81a1b33b57acc,     //  -0.65781,  -0.75319
+    0xbfe4f9cc25cca486,     0xbfe82a9c13f545ff,     //  -0.65549,   -0.7552
+    0xbfe4e6cabbe3e5e9,     0xbfe83b0e0bff976e,     //  -0.65317,  -0.75721
+    0xbfe4d3bc6d589f80,     0xbfe84b7111af83f9,     //  -0.65085,  -0.75921
+    0xbfe4c0a145ec0004,     0xbfe85bc51ae958cc,     //  -0.64851,   -0.7612
+    0xbfe4ad79516722f0,     0xbfe86c0a1d9aa195,     //  -0.64618,  -0.76319
+    0xbfe49a449b9b0938,     0xbfe87c400fba2ebf,     //  -0.64383,  -0.76517
+    0xbfe48703306091fe,     0xbfe88c66e7481ba1,     //  -0.64148,  -0.76714
+    0xbfe473b51b987347,     0xbfe89c7e9a4dd4ab,     //  -0.63912,   -0.7691
+    0xbfe4605a692b32a2,     0xbfe8ac871ede1d88,     //  -0.63676,  -0.77106
+    0xbfe44cf325091dd6,     0xbfe8bc806b151741,     //  -0.63439,  -0.77301
+    0xbfe4397f5b2a4380,     0xbfe8cc6a75184655,     //  -0.63202,  -0.77495
+    0xbfe425ff178e6bb1,     0xbfe8dc45331698cc,     //  -0.62964,  -0.77689
+    0xbfe41272663d108c,     0xbfe8ec109b486c49,     //  -0.62725,  -0.77882
+    0xbfe3fed9534556d4,     0xbfe8fbcca3ef940d,     //  -0.62486,  -0.78074
+    0xbfe3eb33eabe0680,     0xbfe90b7943575efe,     //  -0.62246,  -0.78265
+    0xbfe3d78238c58343,     0xbfe91b166fd49da2,     //  -0.62006,  -0.78456
+    0xbfe3c3c44981c517,     0xbfe92aa41fc5a815,     //  -0.61765,  -0.78646
+    0xbfe3affa292050b9,     0xbfe93a22499263fc,     //  -0.61523,  -0.78835
+    0xbfe39c23e3d63029,     0xbfe94990e3ac4a6c,     //  -0.61281,  -0.79023
+    0xbfe3884185dfeb22,     0xbfe958efe48e6dd7,     //  -0.61038,  -0.79211
+    0xbfe374531b817f8d,     0xbfe9683f42bd7fe1,     //  -0.60795,  -0.79398
+    0xbfe36058b10659f3,     0xbfe9777ef4c7d742,     //  -0.60551,  -0.79584
+    0xbfe34c5252c14de1,     0xbfe986aef1457594,     //  -0.60307,  -0.79769
+    0xbfe338400d0c8e57,     0xbfe995cf2ed80d22,     //  -0.60062,  -0.79954
+    0xbfe32421ec49a620,     0xbfe9a4dfa42b06b2,     //  -0.59816,  -0.80138
+    0xbfe30ff7fce17035,     0xbfe9b3e047f38741,     //   -0.5957,  -0.80321
+    0xbfe2fbc24b441015,     0xbfe9c2d110f075c3,     //  -0.59323,  -0.80503
+    0xbfe2e780e3e8ea16,     0xbfe9d1b1f5ea80d6,     //  -0.59076,  -0.80685
+    0xbfe2d333d34e9bb7,     0xbfe9e082edb42472,     //  -0.58828,  -0.80866
+    0xbfe2bedb25faf3ea,     0xbfe9ef43ef29af94,     //   -0.5858,  -0.81046
+    0xbfe2aa76e87aeb58,     0xbfe9fdf4f13149de,     //  -0.58331,  -0.81225
+    0xbfe2960727629ca8,     0xbfea0c95eabaf937,     //  -0.58081,  -0.81404
+    0xbfe2818bef4d3cba,     0xbfea1b26d2c0a75e,     //  -0.57831,  -0.81581
+    0xbfe26d054cdd12df,     0xbfea29a7a0462782,     //  -0.57581,  -0.81758
+    0xbfe258734cbb7110,     0xbfea38184a593bc6,     //   -0.5733,  -0.81935
+    0xbfe243d5fb98ac1f,     0xbfea4678c8119ac8,     //  -0.57078,   -0.8211
+    0xbfe22f2d662c13e1,     0xbfea54c91090f524,     //  -0.56826,  -0.82285
+    0xbfe21a799933eb58,     0xbfea63091b02fae2,     //  -0.56573,  -0.82459
+    0xbfe205baa17560d6,     0xbfea7138de9d60f5,     //   -0.5632,  -0.82632
+    0xbfe1f0f08bbc861b,     0xbfea7f58529fe69d,     //  -0.56066,  -0.82805
+    0xbfe1dc1b64dc4872,     0xbfea8d676e545ad2,     //  -0.55812,  -0.82976
+    0xbfe1c73b39ae68c8,     0xbfea9b66290ea1a3,     //  -0.55557,  -0.83147
+    0xbfe1b250171373be,     0xbfeaa9547a2cb98e,     //  -0.55302,  -0.83317
+    0xbfe19d5a09f2b9b8,     0xbfeab7325916c0d4,     //  -0.55046,  -0.83486
+    0xbfe188591f3a46e5,     0xbfeac4ffbd3efac8,     //  -0.54789,  -0.83655
+    0xbfe1734d63dedb49,     0xbfead2bc9e21d511,     //  -0.54532,  -0.83822
+    0xbfe15e36e4dbe2bc,     0xbfeae068f345ecef,     //  -0.54275,  -0.83989
+    0xbfe14915af336ceb,     0xbfeaee04b43c1474,     //  -0.54017,  -0.84155
+    0xbfe133e9cfee254e,     0xbfeafb8fd89f57b6,     //  -0.53759,  -0.84321
+    0xbfe11eb3541b4b22,     0xbfeb090a58150200,     //    -0.535,  -0.84485
+    0xbfe1097248d0a956,     0xbfeb16742a4ca2f5,     //   -0.5324,  -0.84649
+    0xbfe0f426bb2a8e7d,     0xbfeb23cd470013b4,     //   -0.5298,  -0.84812
+    0xbfe0ded0b84bc4b5,     0xbfeb3115a5f37bf4,     //   -0.5272,  -0.84974
+    0xbfe0c9704d5d898f,     0xbfeb3e4d3ef55712,     //  -0.52459,  -0.85136
+    0xbfe0b405878f85ec,     0xbfeb4b7409de7925,     //  -0.52198,  -0.85296
+    0xbfe09e907417c5e1,     0xbfeb5889fe921405,     //  -0.51936,  -0.85456
+    0xbfe089112032b08c,     0xbfeb658f14fdbc47,     //  -0.51673,  -0.85615
+    0xbfe073879922ffed,     0xbfeb728345196e3e,     //   -0.5141,  -0.85773
+    0xbfe05df3ec31b8b6,     0xbfeb7f6686e792ea,     //  -0.51147,   -0.8593
+    0xbfe0485626ae221a,     0xbfeb8c38d27504e9,     //  -0.50883,  -0.86087
+    0xbfe032ae55edbd95,     0xbfeb98fa1fd9155e,     //  -0.50619,  -0.86242
+    0xbfe01cfc874c3eb7,     0xbfeba5aa673590d2,     //  -0.50354,  -0.86397
+    0xbfe00740c82b82e0,     0xbfebb249a0b6c40d,     //  -0.50089,  -0.86551
+    0xbfdfe2f64be7120f,     0xbfebbed7c49380ea,     //  -0.49823,  -0.86705
+    0xbfdfb7575c24d2de,     0xbfebcb54cb0d2327,     //  -0.49557,  -0.86857
+    0xbfdf8ba4dbf89aba,     0xbfebd7c0ac6f952a,     //   -0.4929,  -0.87009
+    0xbfdf5fdee656cda3,     0xbfebe41b611154c1,     //  -0.49023,   -0.8716
+    0xbfdf3405963fd068,     0xbfebf064e15377dd,     //  -0.48755,  -0.87309
+    0xbfdf081906bff7fd,     0xbfebfc9d25a1b147,     //  -0.48487,  -0.87459
+    0xbfdedc1952ef78d5,     0xbfec08c426725549,     //  -0.48218,  -0.87607
+    0xbfdeb00695f25620,     0xbfec14d9dc465e58,     //  -0.47949,  -0.87755
+    0xbfde83e0eaf85113,     0xbfec20de3fa971b0,     //   -0.4768,  -0.87901
+    0xbfde57a86d3cd824,     0xbfec2cd14931e3f1,     //   -0.4741,  -0.88047
+    0xbfde2b5d3806f63b,     0xbfec38b2f180bdb1,     //   -0.4714,  -0.88192
+    0xbfddfeff66a941de,     0xbfec44833141c004,     //  -0.46869,  -0.88336
+    0xbfddd28f1481cc58,     0xbfec5042012b6907,     //  -0.46598,   -0.8848
+    0xbfdda60c5cfa10d8,     0xbfec5bef59fef85a,     //  -0.46326,  -0.88622
+    0xbfdd79775b86e389,     0xbfec678b3488739b,     //  -0.46054,  -0.88764
+    0xbfdd4cd02ba8609c,     0xbfec7315899eaad7,     //  -0.45781,  -0.88905
+    0xbfdd2016e8e9db5b,     0xbfec7e8e52233cf3,     //  -0.45508,  -0.89045
+    0xbfdcf34baee1cd21,     0xbfec89f587029c13,     //  -0.45235,  -0.89184
+    0xbfdcc66e9931c45d,     0xbfec954b213411f5,     //  -0.44961,  -0.89322
+    0xbfdc997fc3865388,     0xbfeca08f19b9c449,     //  -0.44687,   -0.8946
+    0xbfdc6c7f4997000a,     0xbfecabc169a0b901,     //  -0.44412,  -0.89597
+    0xbfdc3f6d47263129,     0xbfecb6e20a00da99,     //  -0.44137,  -0.89732
+    0xbfdc1249d8011ee7,     0xbfecc1f0f3fcfc5c,     //  -0.43862,  -0.89867
+    0xbfdbe51517ffc0d9,     0xbfecccee20c2de9f,     //  -0.43586,  -0.90002
+    0xbfdbb7cf2304bd01,     0xbfecd7d9898b32f6,     //  -0.43309,  -0.90135
+    0xbfdb8a7814fd5693,     0xbfece2b32799a060,     //  -0.43033,  -0.90267
+    0xbfdb5d1009e15cc0,     0xbfeced7af43cc773,     //  -0.42756,  -0.90399
+    0xbfdb2f971db31972,     0xbfecf830e8ce467b,     //  -0.42478,   -0.9053
+    0xbfdb020d6c7f4009,     0xbfed02d4feb2bd92,     //    -0.422,   -0.9066
+    0xbfdad473125cdc08,     0xbfed0d672f59d2b9,     //  -0.41922,  -0.90789
+    0xbfdaa6c82b6d3fc9,     0xbfed17e7743e35dc,     //  -0.41643,  -0.90917
+    0xbfda790cd3dbf31a,     0xbfed2255c6e5a4e1,     //  -0.41364,  -0.91044
+    0xbfda4b4127dea1e4,     0xbfed2cb220e0ef9f,     //  -0.41084,  -0.91171
+    0xbfda1d6543b50ac0,     0xbfed36fc7bcbfbdc,     //  -0.40804,  -0.91296
+    0xbfd9ef7943a8ed8a,     0xbfed4134d14dc93a,     //  -0.40524,  -0.91421
+    0xbfd9c17d440df9f2,     0xbfed4b5b1b187524,     //  -0.40243,  -0.91545
+    0xbfd993716141bdfe,     0xbfed556f52e93eb1,     //  -0.39962,  -0.91668
+    0xbfd96555b7ab948f,     0xbfed5f7172888a7f,     //  -0.39681,   -0.9179
+    0xbfd9372a63bc93d7,     0xbfed696173c9e68b,     //  -0.39399,  -0.91911
+    0xbfd908ef81ef7bd1,     0xbfed733f508c0dff,     //  -0.39117,  -0.92032
+    0xbfd8daa52ec8a4af,     0xbfed7d0b02b8ecf9,     //  -0.38835,  -0.92151
+    0xbfd8ac4b86d5ed44,     0xbfed86c48445a450,     //  -0.38552,   -0.9227
+    0xbfd87de2a6aea963,     0xbfed906bcf328d46,     //  -0.38268,  -0.92388
+    0xbfd84f6aaaf3903f,     0xbfed9a00dd8b3d46,     //  -0.37985,  -0.92505
+    0xbfd820e3b04eaac4,     0xbfeda383a9668988,     //  -0.37701,  -0.92621
+    0xbfd7f24dd37341e3,     0xbfedacf42ce68ab9,     //  -0.37416,  -0.92736
+    0xbfd7c3a9311dcce7,     0xbfedb6526238a09b,     //  -0.37132,  -0.92851
+    0xbfd794f5e613dfae,     0xbfedbf9e4395759a,     //  -0.36847,  -0.92964
+    0xbfd766340f2418f6,     0xbfedc8d7cb410260,     //  -0.36561,  -0.93077
+    0xbfd73763c9261092,     0xbfedd1fef38a915a,     //  -0.36276,  -0.93188
+    0xbfd7088530fa459e,     0xbfeddb13b6ccc23d,     //   -0.3599,  -0.93299
+    0xbfd6d998638a0cb5,     0xbfede4160f6d8d81,     //  -0.35703,  -0.93409
+    0xbfd6aa9d7dc77e16,     0xbfeded05f7de47da,     //  -0.35416,  -0.93518
+    0xbfd67b949cad63ca,     0xbfedf5e36a9ba59c,     //  -0.35129,  -0.93627
+    0xbfd64c7ddd3f27c6,     0xbfedfeae622dbe2b,     //  -0.34842,  -0.93734
+    0xbfd61d595c88c203,     0xbfee0766d9280f54,     //  -0.34554,   -0.9384
+    0xbfd5ee27379ea693,     0xbfee100cca2980ac,     //  -0.34266,  -0.93946
+    0xbfd5bee78b9db3b6,     0xbfee18a02fdc66d9,     //  -0.33978,  -0.94051
+    0xbfd58f9a75ab1fdd,     0xbfee212104f686e5,     //  -0.33689,  -0.94154
+    0xbfd5604012f467b4,     0xbfee298f4439197a,     //    -0.334,  -0.94257
+    0xbfd530d880af3c24,     0xbfee31eae870ce25,     //  -0.33111,  -0.94359
+    0xbfd50163dc197047,     0xbfee3a33ec75ce85,     //  -0.32821,   -0.9446
+    0xbfd4d1e24278e76a,     0xbfee426a4b2bc17e,     //  -0.32531,  -0.94561
+    0xbfd4a253d11b82f3,     0xbfee4a8dff81ce5e,     //  -0.32241,   -0.9466
+    0xbfd472b8a5571054,     0xbfee529f04729ffc,     //   -0.3195,  -0.94759
+    0xbfd44310dc8936f0,     0xbfee5a9d550467d3,     //  -0.31659,  -0.94856
+    0xbfd4135c94176602,     0xbfee6288ec48e112,     //  -0.31368,  -0.94953
+    0xbfd3e39be96ec271,     0xbfee6a61c55d53a7,     //  -0.31077,  -0.95049
+    0xbfd3b3cefa0414b7,     0xbfee7227db6a9744,     //  -0.30785,  -0.95144
+    0xbfd383f5e353b6aa,     0xbfee79db29a5165a,     //  -0.30493,  -0.95238
+    0xbfd35410c2e18152,     0xbfee817bab4cd10d,     //  -0.30201,  -0.95331
+    0xbfd3241fb638baaf,     0xbfee89095bad6025,     //  -0.29908,  -0.95423
+    0xbfd2f422daec0386,     0xbfee9084361df7f3,     //  -0.29615,  -0.95514
+    0xbfd2c41a4e954520,     0xbfee97ec36016b30,     //  -0.29322,  -0.95605
+    0xbfd294062ed59f05,     0xbfee9f4156c62dda,     //  -0.29028,  -0.95694
+    0xbfd263e6995554ba,     0xbfeea68393e65800,     //  -0.28735,  -0.95783
+    0xbfd233bbabc3bb72,     0xbfeeadb2e8e7a88e,     //  -0.28441,   -0.9587
+    0xbfd2038583d727bd,     0xbfeeb4cf515b8811,     //  -0.28146,  -0.95957
+    0xbfd1d3443f4cdb3d,     0xbfeebbd8c8df0b74,     //  -0.27852,  -0.96043
+    0xbfd1a2f7fbe8f243,     0xbfeec2cf4b1af6b2,     //  -0.27557,  -0.96128
+    0xbfd172a0d7765177,     0xbfeec9b2d3c3bf84,     //  -0.27262,  -0.96212
+    0xbfd1423eefc69378,     0xbfeed0835e999009,     //  -0.26967,  -0.96295
+    0xbfd111d262b1f677,     0xbfeed740e7684963,     //  -0.26671,  -0.96378
+    0xbfd0e15b4e1749cd,     0xbfeeddeb6a078651,     //  -0.26375,  -0.96459
+    0xbfd0b0d9cfdbdb90,     0xbfeee482e25a9dbc,     //  -0.26079,  -0.96539
+    0xbfd0804e05eb661e,     0xbfeeeb074c50a544,     //  -0.25783,  -0.96619
+    0xbfd04fb80e37fdae,     0xbfeef178a3e473c2,     //  -0.25487,  -0.96698
+    0xbfd01f1806b9fdd2,     0xbfeef7d6e51ca3c0,     //   -0.2519,  -0.96775
+    0xbfcfdcdc1adfedf8,     0xbfeefe220c0b95ec,     //  -0.24893,  -0.96852
+    0xbfcf7b7480bd3801,     0xbfef045a14cf738c,     //  -0.24596,  -0.96928
+    0xbfcf19f97b215f1a,     0xbfef0a7efb9230d7,     //  -0.24298,  -0.97003
+    0xbfceb86b462de348,     0xbfef1090bc898f5f,     //     -0.24,  -0.97077
+    0xbfce56ca1e101a1b,     0xbfef168f53f7205d,     //  -0.23702,   -0.9715
+    0xbfcdf5163f01099a,     0xbfef1c7abe284708,     //  -0.23404,  -0.97223
+    0xbfcd934fe5454311,     0xbfef2252f7763ada,     //  -0.23106,  -0.97294
+    0xbfcd31774d2cbdee,     0xbfef2817fc4609ce,     //  -0.22807,  -0.97364
+    0xbfcccf8cb312b286,     0xbfef2dc9c9089a9d,     //  -0.22508,  -0.97434
+    0xbfcc6d90535d74dc,     0xbfef33685a3aaef0,     //  -0.22209,  -0.97503
+    0xbfcc0b826a7e4f63,     0xbfef38f3ac64e589,     //   -0.2191,   -0.9757
+    0xbfcba96334f15dad,     0xbfef3e6bbc1bbc65,     //  -0.21611,  -0.97637
+    0xbfcb4732ef3d6722,     0xbfef43d085ff92dd,     //  -0.21311,  -0.97703
+    0xbfcae4f1d5f3b9ab,     0xbfef492206bcabb4,     //  -0.21011,  -0.97768
+    0xbfca82a025b00451,     0xbfef4e603b0b2f2d,     //  -0.20711,  -0.97832
+    0xbfca203e1b1831da,     0xbfef538b1faf2d07,     //  -0.20411,  -0.97895
+    0xbfc9bdcbf2dc4366,     0xbfef58a2b1789e84,     //   -0.2011,  -0.97957
+    0xbfc95b49e9b62af9,     0xbfef5da6ed43685d,     //   -0.1981,  -0.98018
+    0xbfc8f8b83c69a60a,     0xbfef6297cff75cb0,     //  -0.19509,  -0.98079
+    0xbfc8961727c41804,     0xbfef677556883cee,     //  -0.19208,  -0.98138
+    0xbfc83366e89c64c5,     0xbfef6c3f7df5bbb7,     //  -0.18907,  -0.98196
+    0xbfc7d0a7bbd2cb1b,     0xbfef70f6434b7eb7,     //  -0.18606,  -0.98254
+    0xbfc76dd9de50bf31,     0xbfef7599a3a12077,     //  -0.18304,  -0.98311
+    0xbfc70afd8d08c4ff,     0xbfef7a299c1a322a,     //  -0.18002,  -0.98366
+    0xbfc6a81304f64ab2,     0xbfef7ea629e63d6e,     //    -0.177,  -0.98421
+    0xbfc6451a831d830d,     0xbfef830f4a40c60c,     //  -0.17398,  -0.98475
+    0xbfc5e214448b3fc6,     0xbfef8764fa714ba9,     //  -0.17096,  -0.98528
+    0xbfc57f008654cbde,     0xbfef8ba737cb4b78,     //  -0.16794,   -0.9858
+    0xbfc51bdf8597c5f2,     0xbfef8fd5ffae41db,     //  -0.16491,  -0.98631
+    0xbfc4b8b17f79fa88,     0xbfef93f14f85ac08,     //  -0.16189,  -0.98681
+    0xbfc45576b1293e5a,     0xbfef97f924c9099b,     //  -0.15886,   -0.9873
+    0xbfc3f22f57db4893,     0xbfef9bed7cfbde29,     //  -0.15583,  -0.98778
+    0xbfc38edbb0cd8d14,     0xbfef9fce55adb2c8,     //   -0.1528,  -0.98826
+    0xbfc32b7bf94516a7,     0xbfefa39bac7a1791,     //  -0.14976,  -0.98872
+    0xbfc2c8106e8e613a,     0xbfefa7557f08a517,     //  -0.14673,  -0.98918
+    0xbfc264994dfd340a,     0xbfefaafbcb0cfddc,     //   -0.1437,  -0.98962
+    0xbfc20116d4ec7bce,     0xbfefae8e8e46cfbb,     //  -0.14066,  -0.99006
+    0xbfc19d8940be24e7,     0xbfefb20dc681d54d,     //  -0.13762,  -0.99049
+    0xbfc139f0cedaf576,     0xbfefb5797195d741,     //  -0.13458,   -0.9909
+    0xbfc0d64dbcb26786,     0xbfefb8d18d66adb7,     //  -0.13154,  -0.99131
+    0xbfc072a047ba831d,     0xbfefbc1617e44186,     //   -0.1285,  -0.99171
+    0xbfc00ee8ad6fb85b,     0xbfefbf470f0a8d88,     //  -0.12545,   -0.9921
+    0xbfbf564e56a9730e,     0xbfefc26470e19fd3,     //  -0.12241,  -0.99248
+    0xbfbe8eb7fde4aa3e,     0xbfefc56e3b7d9af6,     //  -0.11937,  -0.99285
+    0xbfbdc70ecbae9fc8,     0xbfefc8646cfeb721,     //  -0.11632,  -0.99321
+    0xbfbcff533b307dc1,     0xbfefcb4703914354,     //  -0.11327,  -0.99356
+    0xbfbc3785c79ec2d5,     0xbfefce15fd6da67b,     //  -0.11022,  -0.99391
+    0xbfbb6fa6ec38f64c,     0xbfefd0d158d86087,     //  -0.10717,  -0.99424
+    0xbfbaa7b724495c04,     0xbfefd37914220b84,     //  -0.10412,  -0.99456
+    0xbfb9dfb6eb24a85c,     0xbfefd60d2da75c9e,     //  -0.10107,  -0.99488
+    0xbfb917a6bc29b42c,     0xbfefd88da3d12526,     // -0.098017,  -0.99518
+    0xbfb84f8712c130a0,     0xbfefdafa7514538c,     // -0.094963,  -0.99548
+    0xbfb787586a5d5b21,     0xbfefdd539ff1f456,     // -0.091909,  -0.99577
+    0xbfb6bf1b3e79b129,     0xbfefdf9922f73307,     // -0.088854,  -0.99604
+    0xbfb5f6d00a9aa419,     0xbfefe1cafcbd5b09,     // -0.085797,  -0.99631
+    0xbfb52e774a4d4d0a,     0xbfefe3e92be9d886,     //  -0.08274,  -0.99657
+    0xbfb4661179272096,     0xbfefe5f3af2e3940,     // -0.079682,  -0.99682
+    0xbfb39d9f12c5a299,     0xbfefe7ea85482d60,     // -0.076624,  -0.99706
+    0xbfb2d52092ce19f6,     0xbfefe9cdad01883a,     // -0.073565,  -0.99729
+    0xbfb20c9674ed444c,     0xbfefeb9d2530410f,     // -0.070505,  -0.99751
+    0xbfb1440134d709b2,     0xbfefed58ecb673c4,     // -0.067444,  -0.99772
+    0xbfb07b614e463064,     0xbfefef0102826191,     // -0.064383,  -0.99793
+    0xbfaf656e79f820e0,     0xbfeff095658e71ad,     // -0.061321,  -0.99812
+    0xbfadd406f9808ec8,     0xbfeff21614e131ed,     // -0.058258,   -0.9983
+    0xbfac428d12c0d7e3,     0xbfeff3830f8d575c,     // -0.055195,  -0.99848
+    0xbfaab101bd5f8317,     0xbfeff4dc54b1bed3,     // -0.052132,  -0.99864
+    0xbfa91f65f10dd814,     0xbfeff621e3796d7e,     // -0.049068,   -0.9988
+    0xbfa78dbaa5874685,     0xbfeff753bb1b9164,     // -0.046003,  -0.99894
+    0xbfa5fc00d290cd43,     0xbfeff871dadb81df,     // -0.042938,  -0.99908
+    0xbfa46a396ff86179,     0xbfeff97c4208c014,     // -0.039873,   -0.9992
+    0xbfa2d865759455cd,     0xbfeffa72effef75d,     // -0.036807,  -0.99932
+    0xbfa14685db42c17e,     0xbfeffb55e425fdae,     // -0.033741,  -0.99943
+    0xbf9f693731d1cf01,     0xbfeffc251df1d3f8,     // -0.030675,  -0.99953
+    0xbf9c454f4ce53b1c,     0xbfeffce09ce2a679,     // -0.027608,  -0.99962
+    0xbf992155f7a3667e,     0xbfeffd886084cd0d,     // -0.024541,   -0.9997
+    0xbf95fd4d21fab226,     0xbfeffe1c6870cb77,     // -0.021474,  -0.99977
+    0xbf92d936bbe30efd,     0xbfeffe9cb44b51a1,     // -0.018407,  -0.99983
+    0xbf8f6a296ab997ca,     0xbfefff0943c53bd1,     // -0.015339,  -0.99988
+    0xbf8921d1fcdec784,     0xbfefff62169b92db,     // -0.012272,  -0.99992
+    0xbf82d96b0e509703,     0xbfefffa72c978c4f,     //-0.0092038,  -0.99996
+    0xbf7921f0fe670071,     0xbfefffd8858e8a92,     //-0.0061359,  -0.99998
+    0xbf6921f8becca4ba,     0xbfeffff621621d02,     // -0.003068,        -1
+    0x0000000000000000,     0xbff0000000000000,     //         0,        -1
+    0x3f6921f8becca4ba,     0xbfeffff621621d02,     //  0.003068,        -1
+    0x3f7921f0fe670071,     0xbfefffd8858e8a92,     // 0.0061359,  -0.99998
+    0x3f82d96b0e509703,     0xbfefffa72c978c4f,     // 0.0092038,  -0.99996
+    0x3f8921d1fcdec784,     0xbfefff62169b92db,     //  0.012272,  -0.99992
+    0x3f8f6a296ab997ca,     0xbfefff0943c53bd1,     //  0.015339,  -0.99988
+    0x3f92d936bbe30efd,     0xbfeffe9cb44b51a1,     //  0.018407,  -0.99983
+    0x3f95fd4d21fab226,     0xbfeffe1c6870cb77,     //  0.021474,  -0.99977
+    0x3f992155f7a3667e,     0xbfeffd886084cd0d,     //  0.024541,   -0.9997
+    0x3f9c454f4ce53b1c,     0xbfeffce09ce2a679,     //  0.027608,  -0.99962
+    0x3f9f693731d1cf01,     0xbfeffc251df1d3f8,     //  0.030675,  -0.99953
+    0x3fa14685db42c17e,     0xbfeffb55e425fdae,     //  0.033741,  -0.99943
+    0x3fa2d865759455cd,     0xbfeffa72effef75d,     //  0.036807,  -0.99932
+    0x3fa46a396ff86179,     0xbfeff97c4208c014,     //  0.039873,   -0.9992
+    0x3fa5fc00d290cd43,     0xbfeff871dadb81df,     //  0.042938,  -0.99908
+    0x3fa78dbaa5874685,     0xbfeff753bb1b9164,     //  0.046003,  -0.99894
+    0x3fa91f65f10dd814,     0xbfeff621e3796d7e,     //  0.049068,   -0.9988
+    0x3faab101bd5f8317,     0xbfeff4dc54b1bed3,     //  0.052132,  -0.99864
+    0x3fac428d12c0d7e3,     0xbfeff3830f8d575c,     //  0.055195,  -0.99848
+    0x3fadd406f9808ec8,     0xbfeff21614e131ed,     //  0.058258,   -0.9983
+    0x3faf656e79f820e0,     0xbfeff095658e71ad,     //  0.061321,  -0.99812
+    0x3fb07b614e463064,     0xbfefef0102826191,     //  0.064383,  -0.99793
+    0x3fb1440134d709b2,     0xbfefed58ecb673c4,     //  0.067444,  -0.99772
+    0x3fb20c9674ed444c,     0xbfefeb9d2530410f,     //  0.070505,  -0.99751
+    0x3fb2d52092ce19f6,     0xbfefe9cdad01883a,     //  0.073565,  -0.99729
+    0x3fb39d9f12c5a299,     0xbfefe7ea85482d60,     //  0.076624,  -0.99706
+    0x3fb4661179272096,     0xbfefe5f3af2e3940,     //  0.079682,  -0.99682
+    0x3fb52e774a4d4d0a,     0xbfefe3e92be9d886,     //   0.08274,  -0.99657
+    0x3fb5f6d00a9aa419,     0xbfefe1cafcbd5b09,     //  0.085797,  -0.99631
+    0x3fb6bf1b3e79b129,     0xbfefdf9922f73307,     //  0.088854,  -0.99604
+    0x3fb787586a5d5b21,     0xbfefdd539ff1f456,     //  0.091909,  -0.99577
+    0x3fb84f8712c130a0,     0xbfefdafa7514538c,     //  0.094963,  -0.99548
+    0x3fb917a6bc29b42c,     0xbfefd88da3d12526,     //  0.098017,  -0.99518
+    0x3fb9dfb6eb24a85c,     0xbfefd60d2da75c9e,     //   0.10107,  -0.99488
+    0x3fbaa7b724495c04,     0xbfefd37914220b84,     //   0.10412,  -0.99456
+    0x3fbb6fa6ec38f64c,     0xbfefd0d158d86087,     //   0.10717,  -0.99424
+    0x3fbc3785c79ec2d5,     0xbfefce15fd6da67b,     //   0.11022,  -0.99391
+    0x3fbcff533b307dc1,     0xbfefcb4703914354,     //   0.11327,  -0.99356
+    0x3fbdc70ecbae9fc8,     0xbfefc8646cfeb721,     //   0.11632,  -0.99321
+    0x3fbe8eb7fde4aa3e,     0xbfefc56e3b7d9af6,     //   0.11937,  -0.99285
+    0x3fbf564e56a9730e,     0xbfefc26470e19fd3,     //   0.12241,  -0.99248
+    0x3fc00ee8ad6fb85b,     0xbfefbf470f0a8d88,     //   0.12545,   -0.9921
+    0x3fc072a047ba831d,     0xbfefbc1617e44186,     //    0.1285,  -0.99171
+    0x3fc0d64dbcb26786,     0xbfefb8d18d66adb7,     //   0.13154,  -0.99131
+    0x3fc139f0cedaf576,     0xbfefb5797195d741,     //   0.13458,   -0.9909
+    0x3fc19d8940be24e7,     0xbfefb20dc681d54d,     //   0.13762,  -0.99049
+    0x3fc20116d4ec7bce,     0xbfefae8e8e46cfbb,     //   0.14066,  -0.99006
+    0x3fc264994dfd340a,     0xbfefaafbcb0cfddc,     //    0.1437,  -0.98962
+    0x3fc2c8106e8e613a,     0xbfefa7557f08a517,     //   0.14673,  -0.98918
+    0x3fc32b7bf94516a7,     0xbfefa39bac7a1791,     //   0.14976,  -0.98872
+    0x3fc38edbb0cd8d14,     0xbfef9fce55adb2c8,     //    0.1528,  -0.98826
+    0x3fc3f22f57db4893,     0xbfef9bed7cfbde29,     //   0.15583,  -0.98778
+    0x3fc45576b1293e5a,     0xbfef97f924c9099b,     //   0.15886,   -0.9873
+    0x3fc4b8b17f79fa88,     0xbfef93f14f85ac08,     //   0.16189,  -0.98681
+    0x3fc51bdf8597c5f2,     0xbfef8fd5ffae41db,     //   0.16491,  -0.98631
+    0x3fc57f008654cbde,     0xbfef8ba737cb4b78,     //   0.16794,   -0.9858
+    0x3fc5e214448b3fc6,     0xbfef8764fa714ba9,     //   0.17096,  -0.98528
+    0x3fc6451a831d830d,     0xbfef830f4a40c60c,     //   0.17398,  -0.98475
+    0x3fc6a81304f64ab2,     0xbfef7ea629e63d6e,     //     0.177,  -0.98421
+    0x3fc70afd8d08c4ff,     0xbfef7a299c1a322a,     //   0.18002,  -0.98366
+    0x3fc76dd9de50bf31,     0xbfef7599a3a12077,     //   0.18304,  -0.98311
+    0x3fc7d0a7bbd2cb1b,     0xbfef70f6434b7eb7,     //   0.18606,  -0.98254
+    0x3fc83366e89c64c5,     0xbfef6c3f7df5bbb7,     //   0.18907,  -0.98196
+    0x3fc8961727c41804,     0xbfef677556883cee,     //   0.19208,  -0.98138
+    0x3fc8f8b83c69a60a,     0xbfef6297cff75cb0,     //   0.19509,  -0.98079
+    0x3fc95b49e9b62af9,     0xbfef5da6ed43685d,     //    0.1981,  -0.98018
+    0x3fc9bdcbf2dc4366,     0xbfef58a2b1789e84,     //    0.2011,  -0.97957
+    0x3fca203e1b1831da,     0xbfef538b1faf2d07,     //   0.20411,  -0.97895
+    0x3fca82a025b00451,     0xbfef4e603b0b2f2d,     //   0.20711,  -0.97832
+    0x3fcae4f1d5f3b9ab,     0xbfef492206bcabb4,     //   0.21011,  -0.97768
+    0x3fcb4732ef3d6722,     0xbfef43d085ff92dd,     //   0.21311,  -0.97703
+    0x3fcba96334f15dad,     0xbfef3e6bbc1bbc65,     //   0.21611,  -0.97637
+    0x3fcc0b826a7e4f63,     0xbfef38f3ac64e589,     //    0.2191,   -0.9757
+    0x3fcc6d90535d74dc,     0xbfef33685a3aaef0,     //   0.22209,  -0.97503
+    0x3fcccf8cb312b286,     0xbfef2dc9c9089a9d,     //   0.22508,  -0.97434
+    0x3fcd31774d2cbdee,     0xbfef2817fc4609ce,     //   0.22807,  -0.97364
+    0x3fcd934fe5454311,     0xbfef2252f7763ada,     //   0.23106,  -0.97294
+    0x3fcdf5163f01099a,     0xbfef1c7abe284708,     //   0.23404,  -0.97223
+    0x3fce56ca1e101a1b,     0xbfef168f53f7205d,     //   0.23702,   -0.9715
+    0x3fceb86b462de348,     0xbfef1090bc898f5f,     //      0.24,  -0.97077
+    0x3fcf19f97b215f1a,     0xbfef0a7efb9230d7,     //   0.24298,  -0.97003
+    0x3fcf7b7480bd3801,     0xbfef045a14cf738c,     //   0.24596,  -0.96928
+    0x3fcfdcdc1adfedf8,     0xbfeefe220c0b95ec,     //   0.24893,  -0.96852
+    0x3fd01f1806b9fdd2,     0xbfeef7d6e51ca3c0,     //    0.2519,  -0.96775
+    0x3fd04fb80e37fdae,     0xbfeef178a3e473c2,     //   0.25487,  -0.96698
+    0x3fd0804e05eb661e,     0xbfeeeb074c50a544,     //   0.25783,  -0.96619
+    0x3fd0b0d9cfdbdb90,     0xbfeee482e25a9dbc,     //   0.26079,  -0.96539
+    0x3fd0e15b4e1749cd,     0xbfeeddeb6a078651,     //   0.26375,  -0.96459
+    0x3fd111d262b1f677,     0xbfeed740e7684963,     //   0.26671,  -0.96378
+    0x3fd1423eefc69378,     0xbfeed0835e999009,     //   0.26967,  -0.96295
+    0x3fd172a0d7765177,     0xbfeec9b2d3c3bf84,     //   0.27262,  -0.96212
+    0x3fd1a2f7fbe8f243,     0xbfeec2cf4b1af6b2,     //   0.27557,  -0.96128
+    0x3fd1d3443f4cdb3d,     0xbfeebbd8c8df0b74,     //   0.27852,  -0.96043
+    0x3fd2038583d727bd,     0xbfeeb4cf515b8811,     //   0.28146,  -0.95957
+    0x3fd233bbabc3bb72,     0xbfeeadb2e8e7a88e,     //   0.28441,   -0.9587
+    0x3fd263e6995554ba,     0xbfeea68393e65800,     //   0.28735,  -0.95783
+    0x3fd294062ed59f05,     0xbfee9f4156c62dda,     //   0.29028,  -0.95694
+    0x3fd2c41a4e954520,     0xbfee97ec36016b30,     //   0.29322,  -0.95605
+    0x3fd2f422daec0386,     0xbfee9084361df7f3,     //   0.29615,  -0.95514
+    0x3fd3241fb638baaf,     0xbfee89095bad6025,     //   0.29908,  -0.95423
+    0x3fd35410c2e18152,     0xbfee817bab4cd10d,     //   0.30201,  -0.95331
+    0x3fd383f5e353b6aa,     0xbfee79db29a5165a,     //   0.30493,  -0.95238
+    0x3fd3b3cefa0414b7,     0xbfee7227db6a9744,     //   0.30785,  -0.95144
+    0x3fd3e39be96ec271,     0xbfee6a61c55d53a7,     //   0.31077,  -0.95049
+    0x3fd4135c94176602,     0xbfee6288ec48e112,     //   0.31368,  -0.94953
+    0x3fd44310dc8936f0,     0xbfee5a9d550467d3,     //   0.31659,  -0.94856
+    0x3fd472b8a5571054,     0xbfee529f04729ffc,     //    0.3195,  -0.94759
+    0x3fd4a253d11b82f3,     0xbfee4a8dff81ce5e,     //   0.32241,   -0.9466
+    0x3fd4d1e24278e76a,     0xbfee426a4b2bc17e,     //   0.32531,  -0.94561
+    0x3fd50163dc197047,     0xbfee3a33ec75ce85,     //   0.32821,   -0.9446
+    0x3fd530d880af3c24,     0xbfee31eae870ce25,     //   0.33111,  -0.94359
+    0x3fd5604012f467b4,     0xbfee298f4439197a,     //     0.334,  -0.94257
+    0x3fd58f9a75ab1fdd,     0xbfee212104f686e5,     //   0.33689,  -0.94154
+    0x3fd5bee78b9db3b6,     0xbfee18a02fdc66d9,     //   0.33978,  -0.94051
+    0x3fd5ee27379ea693,     0xbfee100cca2980ac,     //   0.34266,  -0.93946
+    0x3fd61d595c88c203,     0xbfee0766d9280f54,     //   0.34554,   -0.9384
+    0x3fd64c7ddd3f27c6,     0xbfedfeae622dbe2b,     //   0.34842,  -0.93734
+    0x3fd67b949cad63ca,     0xbfedf5e36a9ba59c,     //   0.35129,  -0.93627
+    0x3fd6aa9d7dc77e16,     0xbfeded05f7de47da,     //   0.35416,  -0.93518
+    0x3fd6d998638a0cb5,     0xbfede4160f6d8d81,     //   0.35703,  -0.93409
+    0x3fd7088530fa459e,     0xbfeddb13b6ccc23d,     //    0.3599,  -0.93299
+    0x3fd73763c9261092,     0xbfedd1fef38a915a,     //   0.36276,  -0.93188
+    0x3fd766340f2418f6,     0xbfedc8d7cb410260,     //   0.36561,  -0.93077
+    0x3fd794f5e613dfae,     0xbfedbf9e4395759a,     //   0.36847,  -0.92964
+    0x3fd7c3a9311dcce7,     0xbfedb6526238a09b,     //   0.37132,  -0.92851
+    0x3fd7f24dd37341e3,     0xbfedacf42ce68ab9,     //   0.37416,  -0.92736
+    0x3fd820e3b04eaac4,     0xbfeda383a9668988,     //   0.37701,  -0.92621
+    0x3fd84f6aaaf3903f,     0xbfed9a00dd8b3d46,     //   0.37985,  -0.92505
+    0x3fd87de2a6aea963,     0xbfed906bcf328d46,     //   0.38268,  -0.92388
+    0x3fd8ac4b86d5ed44,     0xbfed86c48445a450,     //   0.38552,   -0.9227
+    0x3fd8daa52ec8a4af,     0xbfed7d0b02b8ecf9,     //   0.38835,  -0.92151
+    0x3fd908ef81ef7bd1,     0xbfed733f508c0dff,     //   0.39117,  -0.92032
+    0x3fd9372a63bc93d7,     0xbfed696173c9e68b,     //   0.39399,  -0.91911
+    0x3fd96555b7ab948f,     0xbfed5f7172888a7f,     //   0.39681,   -0.9179
+    0x3fd993716141bdfe,     0xbfed556f52e93eb1,     //   0.39962,  -0.91668
+    0x3fd9c17d440df9f2,     0xbfed4b5b1b187524,     //   0.40243,  -0.91545
+    0x3fd9ef7943a8ed8a,     0xbfed4134d14dc93a,     //   0.40524,  -0.91421
+    0x3fda1d6543b50ac0,     0xbfed36fc7bcbfbdc,     //   0.40804,  -0.91296
+    0x3fda4b4127dea1e4,     0xbfed2cb220e0ef9f,     //   0.41084,  -0.91171
+    0x3fda790cd3dbf31a,     0xbfed2255c6e5a4e1,     //   0.41364,  -0.91044
+    0x3fdaa6c82b6d3fc9,     0xbfed17e7743e35dc,     //   0.41643,  -0.90917
+    0x3fdad473125cdc08,     0xbfed0d672f59d2b9,     //   0.41922,  -0.90789
+    0x3fdb020d6c7f4009,     0xbfed02d4feb2bd92,     //     0.422,   -0.9066
+    0x3fdb2f971db31972,     0xbfecf830e8ce467b,     //   0.42478,   -0.9053
+    0x3fdb5d1009e15cc0,     0xbfeced7af43cc773,     //   0.42756,  -0.90399
+    0x3fdb8a7814fd5693,     0xbfece2b32799a060,     //   0.43033,  -0.90267
+    0x3fdbb7cf2304bd01,     0xbfecd7d9898b32f6,     //   0.43309,  -0.90135
+    0x3fdbe51517ffc0d9,     0xbfecccee20c2de9f,     //   0.43586,  -0.90002
+    0x3fdc1249d8011ee7,     0xbfecc1f0f3fcfc5c,     //   0.43862,  -0.89867
+    0x3fdc3f6d47263129,     0xbfecb6e20a00da99,     //   0.44137,  -0.89732
+    0x3fdc6c7f4997000a,     0xbfecabc169a0b901,     //   0.44412,  -0.89597
+    0x3fdc997fc3865388,     0xbfeca08f19b9c449,     //   0.44687,   -0.8946
+    0x3fdcc66e9931c45d,     0xbfec954b213411f5,     //   0.44961,  -0.89322
+    0x3fdcf34baee1cd21,     0xbfec89f587029c13,     //   0.45235,  -0.89184
+    0x3fdd2016e8e9db5b,     0xbfec7e8e52233cf3,     //   0.45508,  -0.89045
+    0x3fdd4cd02ba8609c,     0xbfec7315899eaad7,     //   0.45781,  -0.88905
+    0x3fdd79775b86e389,     0xbfec678b3488739b,     //   0.46054,  -0.88764
+    0x3fdda60c5cfa10d8,     0xbfec5bef59fef85a,     //   0.46326,  -0.88622
+    0x3fddd28f1481cc58,     0xbfec5042012b6907,     //   0.46598,   -0.8848
+    0x3fddfeff66a941de,     0xbfec44833141c004,     //   0.46869,  -0.88336
+    0x3fde2b5d3806f63b,     0xbfec38b2f180bdb1,     //    0.4714,  -0.88192
+    0x3fde57a86d3cd824,     0xbfec2cd14931e3f1,     //    0.4741,  -0.88047
+    0x3fde83e0eaf85113,     0xbfec20de3fa971b0,     //    0.4768,  -0.87901
+    0x3fdeb00695f25620,     0xbfec14d9dc465e58,     //   0.47949,  -0.87755
+    0x3fdedc1952ef78d5,     0xbfec08c426725549,     //   0.48218,  -0.87607
+    0x3fdf081906bff7fd,     0xbfebfc9d25a1b147,     //   0.48487,  -0.87459
+    0x3fdf3405963fd068,     0xbfebf064e15377dd,     //   0.48755,  -0.87309
+    0x3fdf5fdee656cda3,     0xbfebe41b611154c1,     //   0.49023,   -0.8716
+    0x3fdf8ba4dbf89aba,     0xbfebd7c0ac6f952a,     //    0.4929,  -0.87009
+    0x3fdfb7575c24d2de,     0xbfebcb54cb0d2327,     //   0.49557,  -0.86857
+    0x3fdfe2f64be7120f,     0xbfebbed7c49380ea,     //   0.49823,  -0.86705
+    0x3fe00740c82b82e0,     0xbfebb249a0b6c40d,     //   0.50089,  -0.86551
+    0x3fe01cfc874c3eb7,     0xbfeba5aa673590d2,     //   0.50354,  -0.86397
+    0x3fe032ae55edbd95,     0xbfeb98fa1fd9155e,     //   0.50619,  -0.86242
+    0x3fe0485626ae221a,     0xbfeb8c38d27504e9,     //   0.50883,  -0.86087
+    0x3fe05df3ec31b8b6,     0xbfeb7f6686e792ea,     //   0.51147,   -0.8593
+    0x3fe073879922ffed,     0xbfeb728345196e3e,     //    0.5141,  -0.85773
+    0x3fe089112032b08c,     0xbfeb658f14fdbc47,     //   0.51673,  -0.85615
+    0x3fe09e907417c5e1,     0xbfeb5889fe921405,     //   0.51936,  -0.85456
+    0x3fe0b405878f85ec,     0xbfeb4b7409de7925,     //   0.52198,  -0.85296
+    0x3fe0c9704d5d898f,     0xbfeb3e4d3ef55712,     //   0.52459,  -0.85136
+    0x3fe0ded0b84bc4b5,     0xbfeb3115a5f37bf4,     //    0.5272,  -0.84974
+    0x3fe0f426bb2a8e7d,     0xbfeb23cd470013b4,     //    0.5298,  -0.84812
+    0x3fe1097248d0a956,     0xbfeb16742a4ca2f5,     //    0.5324,  -0.84649
+    0x3fe11eb3541b4b22,     0xbfeb090a58150200,     //     0.535,  -0.84485
+    0x3fe133e9cfee254e,     0xbfeafb8fd89f57b6,     //   0.53759,  -0.84321
+    0x3fe14915af336ceb,     0xbfeaee04b43c1474,     //   0.54017,  -0.84155
+    0x3fe15e36e4dbe2bc,     0xbfeae068f345ecef,     //   0.54275,  -0.83989
+    0x3fe1734d63dedb49,     0xbfead2bc9e21d511,     //   0.54532,  -0.83822
+    0x3fe188591f3a46e5,     0xbfeac4ffbd3efac8,     //   0.54789,  -0.83655
+    0x3fe19d5a09f2b9b8,     0xbfeab7325916c0d4,     //   0.55046,  -0.83486
+    0x3fe1b250171373be,     0xbfeaa9547a2cb98e,     //   0.55302,  -0.83317
+    0x3fe1c73b39ae68c8,     0xbfea9b66290ea1a3,     //   0.55557,  -0.83147
+    0x3fe1dc1b64dc4872,     0xbfea8d676e545ad2,     //   0.55812,  -0.82976
+    0x3fe1f0f08bbc861b,     0xbfea7f58529fe69d,     //   0.56066,  -0.82805
+    0x3fe205baa17560d6,     0xbfea7138de9d60f5,     //    0.5632,  -0.82632
+    0x3fe21a799933eb58,     0xbfea63091b02fae2,     //   0.56573,  -0.82459
+    0x3fe22f2d662c13e1,     0xbfea54c91090f524,     //   0.56826,  -0.82285
+    0x3fe243d5fb98ac1f,     0xbfea4678c8119ac8,     //   0.57078,   -0.8211
+    0x3fe258734cbb7110,     0xbfea38184a593bc6,     //    0.5733,  -0.81935
+    0x3fe26d054cdd12df,     0xbfea29a7a0462782,     //   0.57581,  -0.81758
+    0x3fe2818bef4d3cba,     0xbfea1b26d2c0a75e,     //   0.57831,  -0.81581
+    0x3fe2960727629ca8,     0xbfea0c95eabaf937,     //   0.58081,  -0.81404
+    0x3fe2aa76e87aeb58,     0xbfe9fdf4f13149de,     //   0.58331,  -0.81225
+    0x3fe2bedb25faf3ea,     0xbfe9ef43ef29af94,     //    0.5858,  -0.81046
+    0x3fe2d333d34e9bb7,     0xbfe9e082edb42472,     //   0.58828,  -0.80866
+    0x3fe2e780e3e8ea16,     0xbfe9d1b1f5ea80d6,     //   0.59076,  -0.80685
+    0x3fe2fbc24b441015,     0xbfe9c2d110f075c3,     //   0.59323,  -0.80503
+    0x3fe30ff7fce17035,     0xbfe9b3e047f38741,     //    0.5957,  -0.80321
+    0x3fe32421ec49a620,     0xbfe9a4dfa42b06b2,     //   0.59816,  -0.80138
+    0x3fe338400d0c8e57,     0xbfe995cf2ed80d22,     //   0.60062,  -0.79954
+    0x3fe34c5252c14de1,     0xbfe986aef1457594,     //   0.60307,  -0.79769
+    0x3fe36058b10659f3,     0xbfe9777ef4c7d742,     //   0.60551,  -0.79584
+    0x3fe374531b817f8d,     0xbfe9683f42bd7fe1,     //   0.60795,  -0.79398
+    0x3fe3884185dfeb22,     0xbfe958efe48e6dd7,     //   0.61038,  -0.79211
+    0x3fe39c23e3d63029,     0xbfe94990e3ac4a6c,     //   0.61281,  -0.79023
+    0x3fe3affa292050b9,     0xbfe93a22499263fc,     //   0.61523,  -0.78835
+    0x3fe3c3c44981c517,     0xbfe92aa41fc5a815,     //   0.61765,  -0.78646
+    0x3fe3d78238c58343,     0xbfe91b166fd49da2,     //   0.62006,  -0.78456
+    0x3fe3eb33eabe0680,     0xbfe90b7943575efe,     //   0.62246,  -0.78265
+    0x3fe3fed9534556d4,     0xbfe8fbcca3ef940d,     //   0.62486,  -0.78074
+    0x3fe41272663d108c,     0xbfe8ec109b486c49,     //   0.62725,  -0.77882
+    0x3fe425ff178e6bb1,     0xbfe8dc45331698cc,     //   0.62964,  -0.77689
+    0x3fe4397f5b2a4380,     0xbfe8cc6a75184655,     //   0.63202,  -0.77495
+    0x3fe44cf325091dd6,     0xbfe8bc806b151741,     //   0.63439,  -0.77301
+    0x3fe4605a692b32a2,     0xbfe8ac871ede1d88,     //   0.63676,  -0.77106
+    0x3fe473b51b987347,     0xbfe89c7e9a4dd4ab,     //   0.63912,   -0.7691
+    0x3fe48703306091fe,     0xbfe88c66e7481ba1,     //   0.64148,  -0.76714
+    0x3fe49a449b9b0938,     0xbfe87c400fba2ebf,     //   0.64383,  -0.76517
+    0x3fe4ad79516722f0,     0xbfe86c0a1d9aa195,     //   0.64618,  -0.76319
+    0x3fe4c0a145ec0004,     0xbfe85bc51ae958cc,     //   0.64851,   -0.7612
+    0x3fe4d3bc6d589f80,     0xbfe84b7111af83f9,     //   0.65085,  -0.75921
+    0x3fe4e6cabbe3e5e9,     0xbfe83b0e0bff976e,     //   0.65317,  -0.75721
+    0x3fe4f9cc25cca486,     0xbfe82a9c13f545ff,     //   0.65549,   -0.7552
+    0x3fe50cc09f59a09b,     0xbfe81a1b33b57acc,     //   0.65781,  -0.75319
+    0x3fe51fa81cd99aa6,     0xbfe8098b756e52fa,     //   0.66011,  -0.75117
+    0x3fe5328292a35596,     0xbfe7f8ece3571771,     //   0.66242,  -0.74914
+    0x3fe5454ff5159dfb,     0xbfe7e83f87b03686,     //   0.66471,   -0.7471
+    0x3fe5581038975137,     0xbfe7d7836cc33db2,     //     0.667,  -0.74506
+    0x3fe56ac35197649e,     0xbfe7c6b89ce2d333,     //   0.66928,  -0.74301
+    0x3fe57d69348cec9f,     0xbfe7b5df226aafb0,     //   0.67156,  -0.74095
+    0x3fe59001d5f723df,     0xbfe7a4f707bf97d2,     //   0.67383,  -0.73889
+    0x3fe5a28d2a5d7250,     0xbfe79400574f55e4,     //   0.67609,  -0.73682
+    0x3fe5b50b264f7448,     0xbfe782fb1b90b35b,     //   0.67835,  -0.73474
+    0x3fe5c77bbe65018c,     0xbfe771e75f037261,     //    0.6806,  -0.73265
+    0x3fe5d9dee73e345c,     0xbfe760c52c304764,     //   0.68285,  -0.73056
+    0x3fe5ec3495837074,     0xbfe74f948da8d28d,     //   0.68508,  -0.72846
+    0x3fe5fe7cbde56a0f,     0xbfe73e558e079942,     //   0.68732,  -0.72636
+    0x3fe610b7551d2cde,     0xbfe72d0837efff97,     //   0.68954,  -0.72425
+    0x3fe622e44fec22ff,     0xbfe71bac960e41bf,     //   0.69176,  -0.72213
+    0x3fe63503a31c1be8,     0xbfe70a42b3176d7a,     //   0.69397,     -0.72
+    0x3fe64715437f535b,     0xbfe6f8ca99c95b75,     //   0.69618,  -0.71787
+    0x3fe6591925f0783e,     0xbfe6e74454eaa8ae,     //   0.69838,  -0.71573
+    0x3fe66b0f3f52b386,     0xbfe6d5afef4aafcc,     //   0.70057,  -0.71358
+    0x3fe67cf78491af10,     0xbfe6c40d73c18275,     //   0.70275,  -0.71143
+    0x3fe68ed1eaa19c71,     0xbfe6b25ced2fe29c,     //   0.70493,  -0.70927
+    0x3fe6a09e667f3bcc,     0xbfe6a09e667f3bcc,     //   0.70711,  -0.70711
+    0x3fe6b25ced2fe29c,     0xbfe68ed1eaa19c71,     //   0.70927,  -0.70493
+    0x3fe6c40d73c18275,     0xbfe67cf78491af10,     //   0.71143,  -0.70275
+    0x3fe6d5afef4aafcc,     0xbfe66b0f3f52b386,     //   0.71358,  -0.70057
+    0x3fe6e74454eaa8ae,     0xbfe6591925f0783e,     //   0.71573,  -0.69838
+    0x3fe6f8ca99c95b75,     0xbfe64715437f535b,     //   0.71787,  -0.69618
+    0x3fe70a42b3176d7a,     0xbfe63503a31c1be8,     //      0.72,  -0.69397
+    0x3fe71bac960e41bf,     0xbfe622e44fec22ff,     //   0.72213,  -0.69176
+    0x3fe72d0837efff97,     0xbfe610b7551d2cde,     //   0.72425,  -0.68954
+    0x3fe73e558e079942,     0xbfe5fe7cbde56a0f,     //   0.72636,  -0.68732
+    0x3fe74f948da8d28d,     0xbfe5ec3495837074,     //   0.72846,  -0.68508
+    0x3fe760c52c304764,     0xbfe5d9dee73e345c,     //   0.73056,  -0.68285
+    0x3fe771e75f037261,     0xbfe5c77bbe65018c,     //   0.73265,   -0.6806
+    0x3fe782fb1b90b35b,     0xbfe5b50b264f7448,     //   0.73474,  -0.67835
+    0x3fe79400574f55e4,     0xbfe5a28d2a5d7250,     //   0.73682,  -0.67609
+    0x3fe7a4f707bf97d2,     0xbfe59001d5f723df,     //   0.73889,  -0.67383
+    0x3fe7b5df226aafb0,     0xbfe57d69348cec9f,     //   0.74095,  -0.67156
+    0x3fe7c6b89ce2d333,     0xbfe56ac35197649e,     //   0.74301,  -0.66928
+    0x3fe7d7836cc33db2,     0xbfe5581038975137,     //   0.74506,    -0.667
+    0x3fe7e83f87b03686,     0xbfe5454ff5159dfb,     //    0.7471,  -0.66471
+    0x3fe7f8ece3571771,     0xbfe5328292a35596,     //   0.74914,  -0.66242
+    0x3fe8098b756e52fa,     0xbfe51fa81cd99aa6,     //   0.75117,  -0.66011
+    0x3fe81a1b33b57acc,     0xbfe50cc09f59a09b,     //   0.75319,  -0.65781
+    0x3fe82a9c13f545ff,     0xbfe4f9cc25cca486,     //    0.7552,  -0.65549
+    0x3fe83b0e0bff976e,     0xbfe4e6cabbe3e5e9,     //   0.75721,  -0.65317
+    0x3fe84b7111af83f9,     0xbfe4d3bc6d589f80,     //   0.75921,  -0.65085
+    0x3fe85bc51ae958cc,     0xbfe4c0a145ec0004,     //    0.7612,  -0.64851
+    0x3fe86c0a1d9aa195,     0xbfe4ad79516722f0,     //   0.76319,  -0.64618
+    0x3fe87c400fba2ebf,     0xbfe49a449b9b0938,     //   0.76517,  -0.64383
+    0x3fe88c66e7481ba1,     0xbfe48703306091fe,     //   0.76714,  -0.64148
+    0x3fe89c7e9a4dd4ab,     0xbfe473b51b987347,     //    0.7691,  -0.63912
+    0x3fe8ac871ede1d88,     0xbfe4605a692b32a2,     //   0.77106,  -0.63676
+    0x3fe8bc806b151741,     0xbfe44cf325091dd6,     //   0.77301,  -0.63439
+    0x3fe8cc6a75184655,     0xbfe4397f5b2a4380,     //   0.77495,  -0.63202
+    0x3fe8dc45331698cc,     0xbfe425ff178e6bb1,     //   0.77689,  -0.62964
+    0x3fe8ec109b486c49,     0xbfe41272663d108c,     //   0.77882,  -0.62725
+    0x3fe8fbcca3ef940d,     0xbfe3fed9534556d4,     //   0.78074,  -0.62486
+    0x3fe90b7943575efe,     0xbfe3eb33eabe0680,     //   0.78265,  -0.62246
+    0x3fe91b166fd49da2,     0xbfe3d78238c58343,     //   0.78456,  -0.62006
+    0x3fe92aa41fc5a815,     0xbfe3c3c44981c517,     //   0.78646,  -0.61765
+    0x3fe93a22499263fc,     0xbfe3affa292050b9,     //   0.78835,  -0.61523
+    0x3fe94990e3ac4a6c,     0xbfe39c23e3d63029,     //   0.79023,  -0.61281
+    0x3fe958efe48e6dd7,     0xbfe3884185dfeb22,     //   0.79211,  -0.61038
+    0x3fe9683f42bd7fe1,     0xbfe374531b817f8d,     //   0.79398,  -0.60795
+    0x3fe9777ef4c7d742,     0xbfe36058b10659f3,     //   0.79584,  -0.60551
+    0x3fe986aef1457594,     0xbfe34c5252c14de1,     //   0.79769,  -0.60307
+    0x3fe995cf2ed80d22,     0xbfe338400d0c8e57,     //   0.79954,  -0.60062
+    0x3fe9a4dfa42b06b2,     0xbfe32421ec49a620,     //   0.80138,  -0.59816
+    0x3fe9b3e047f38741,     0xbfe30ff7fce17035,     //   0.80321,   -0.5957
+    0x3fe9c2d110f075c3,     0xbfe2fbc24b441015,     //   0.80503,  -0.59323
+    0x3fe9d1b1f5ea80d6,     0xbfe2e780e3e8ea16,     //   0.80685,  -0.59076
+    0x3fe9e082edb42472,     0xbfe2d333d34e9bb7,     //   0.80866,  -0.58828
+    0x3fe9ef43ef29af94,     0xbfe2bedb25faf3ea,     //   0.81046,   -0.5858
+    0x3fe9fdf4f13149de,     0xbfe2aa76e87aeb58,     //   0.81225,  -0.58331
+    0x3fea0c95eabaf937,     0xbfe2960727629ca8,     //   0.81404,  -0.58081
+    0x3fea1b26d2c0a75e,     0xbfe2818bef4d3cba,     //   0.81581,  -0.57831
+    0x3fea29a7a0462782,     0xbfe26d054cdd12df,     //   0.81758,  -0.57581
+    0x3fea38184a593bc6,     0xbfe258734cbb7110,     //   0.81935,   -0.5733
+    0x3fea4678c8119ac8,     0xbfe243d5fb98ac1f,     //    0.8211,  -0.57078
+    0x3fea54c91090f524,     0xbfe22f2d662c13e1,     //   0.82285,  -0.56826
+    0x3fea63091b02fae2,     0xbfe21a799933eb58,     //   0.82459,  -0.56573
+    0x3fea7138de9d60f5,     0xbfe205baa17560d6,     //   0.82632,   -0.5632
+    0x3fea7f58529fe69d,     0xbfe1f0f08bbc861b,     //   0.82805,  -0.56066
+    0x3fea8d676e545ad2,     0xbfe1dc1b64dc4872,     //   0.82976,  -0.55812
+    0x3fea9b66290ea1a3,     0xbfe1c73b39ae68c8,     //   0.83147,  -0.55557
+    0x3feaa9547a2cb98e,     0xbfe1b250171373be,     //   0.83317,  -0.55302
+    0x3feab7325916c0d4,     0xbfe19d5a09f2b9b8,     //   0.83486,  -0.55046
+    0x3feac4ffbd3efac8,     0xbfe188591f3a46e5,     //   0.83655,  -0.54789
+    0x3fead2bc9e21d511,     0xbfe1734d63dedb49,     //   0.83822,  -0.54532
+    0x3feae068f345ecef,     0xbfe15e36e4dbe2bc,     //   0.83989,  -0.54275
+    0x3feaee04b43c1474,     0xbfe14915af336ceb,     //   0.84155,  -0.54017
+    0x3feafb8fd89f57b6,     0xbfe133e9cfee254e,     //   0.84321,  -0.53759
+    0x3feb090a58150200,     0xbfe11eb3541b4b22,     //   0.84485,    -0.535
+    0x3feb16742a4ca2f5,     0xbfe1097248d0a956,     //   0.84649,   -0.5324
+    0x3feb23cd470013b4,     0xbfe0f426bb2a8e7d,     //   0.84812,   -0.5298
+    0x3feb3115a5f37bf4,     0xbfe0ded0b84bc4b5,     //   0.84974,   -0.5272
+    0x3feb3e4d3ef55712,     0xbfe0c9704d5d898f,     //   0.85136,  -0.52459
+    0x3feb4b7409de7925,     0xbfe0b405878f85ec,     //   0.85296,  -0.52198
+    0x3feb5889fe921405,     0xbfe09e907417c5e1,     //   0.85456,  -0.51936
+    0x3feb658f14fdbc47,     0xbfe089112032b08c,     //   0.85615,  -0.51673
+    0x3feb728345196e3e,     0xbfe073879922ffed,     //   0.85773,   -0.5141
+    0x3feb7f6686e792ea,     0xbfe05df3ec31b8b6,     //    0.8593,  -0.51147
+    0x3feb8c38d27504e9,     0xbfe0485626ae221a,     //   0.86087,  -0.50883
+    0x3feb98fa1fd9155e,     0xbfe032ae55edbd95,     //   0.86242,  -0.50619
+    0x3feba5aa673590d2,     0xbfe01cfc874c3eb7,     //   0.86397,  -0.50354
+    0x3febb249a0b6c40d,     0xbfe00740c82b82e0,     //   0.86551,  -0.50089
+    0x3febbed7c49380ea,     0xbfdfe2f64be7120f,     //   0.86705,  -0.49823
+    0x3febcb54cb0d2327,     0xbfdfb7575c24d2de,     //   0.86857,  -0.49557
+    0x3febd7c0ac6f952a,     0xbfdf8ba4dbf89aba,     //   0.87009,   -0.4929
+    0x3febe41b611154c1,     0xbfdf5fdee656cda3,     //    0.8716,  -0.49023
+    0x3febf064e15377dd,     0xbfdf3405963fd068,     //   0.87309,  -0.48755
+    0x3febfc9d25a1b147,     0xbfdf081906bff7fd,     //   0.87459,  -0.48487
+    0x3fec08c426725549,     0xbfdedc1952ef78d5,     //   0.87607,  -0.48218
+    0x3fec14d9dc465e58,     0xbfdeb00695f25620,     //   0.87755,  -0.47949
+    0x3fec20de3fa971b0,     0xbfde83e0eaf85113,     //   0.87901,   -0.4768
+    0x3fec2cd14931e3f1,     0xbfde57a86d3cd824,     //   0.88047,   -0.4741
+    0x3fec38b2f180bdb1,     0xbfde2b5d3806f63b,     //   0.88192,   -0.4714
+    0x3fec44833141c004,     0xbfddfeff66a941de,     //   0.88336,  -0.46869
+    0x3fec5042012b6907,     0xbfddd28f1481cc58,     //    0.8848,  -0.46598
+    0x3fec5bef59fef85a,     0xbfdda60c5cfa10d8,     //   0.88622,  -0.46326
+    0x3fec678b3488739b,     0xbfdd79775b86e389,     //   0.88764,  -0.46054
+    0x3fec7315899eaad7,     0xbfdd4cd02ba8609c,     //   0.88905,  -0.45781
+    0x3fec7e8e52233cf3,     0xbfdd2016e8e9db5b,     //   0.89045,  -0.45508
+    0x3fec89f587029c13,     0xbfdcf34baee1cd21,     //   0.89184,  -0.45235
+    0x3fec954b213411f5,     0xbfdcc66e9931c45d,     //   0.89322,  -0.44961
+    0x3feca08f19b9c449,     0xbfdc997fc3865388,     //    0.8946,  -0.44687
+    0x3fecabc169a0b901,     0xbfdc6c7f4997000a,     //   0.89597,  -0.44412
+    0x3fecb6e20a00da99,     0xbfdc3f6d47263129,     //   0.89732,  -0.44137
+    0x3fecc1f0f3fcfc5c,     0xbfdc1249d8011ee7,     //   0.89867,  -0.43862
+    0x3fecccee20c2de9f,     0xbfdbe51517ffc0d9,     //   0.90002,  -0.43586
+    0x3fecd7d9898b32f6,     0xbfdbb7cf2304bd01,     //   0.90135,  -0.43309
+    0x3fece2b32799a060,     0xbfdb8a7814fd5693,     //   0.90267,  -0.43033
+    0x3feced7af43cc773,     0xbfdb5d1009e15cc0,     //   0.90399,  -0.42756
+    0x3fecf830e8ce467b,     0xbfdb2f971db31972,     //    0.9053,  -0.42478
+    0x3fed02d4feb2bd92,     0xbfdb020d6c7f4009,     //    0.9066,    -0.422
+    0x3fed0d672f59d2b9,     0xbfdad473125cdc08,     //   0.90789,  -0.41922
+    0x3fed17e7743e35dc,     0xbfdaa6c82b6d3fc9,     //   0.90917,  -0.41643
+    0x3fed2255c6e5a4e1,     0xbfda790cd3dbf31a,     //   0.91044,  -0.41364
+    0x3fed2cb220e0ef9f,     0xbfda4b4127dea1e4,     //   0.91171,  -0.41084
+    0x3fed36fc7bcbfbdc,     0xbfda1d6543b50ac0,     //   0.91296,  -0.40804
+    0x3fed4134d14dc93a,     0xbfd9ef7943a8ed8a,     //   0.91421,  -0.40524
+    0x3fed4b5b1b187524,     0xbfd9c17d440df9f2,     //   0.91545,  -0.40243
+    0x3fed556f52e93eb1,     0xbfd993716141bdfe,     //   0.91668,  -0.39962
+    0x3fed5f7172888a7f,     0xbfd96555b7ab948f,     //    0.9179,  -0.39681
+    0x3fed696173c9e68b,     0xbfd9372a63bc93d7,     //   0.91911,  -0.39399
+    0x3fed733f508c0dff,     0xbfd908ef81ef7bd1,     //   0.92032,  -0.39117
+    0x3fed7d0b02b8ecf9,     0xbfd8daa52ec8a4af,     //   0.92151,  -0.38835
+    0x3fed86c48445a450,     0xbfd8ac4b86d5ed44,     //    0.9227,  -0.38552
+    0x3fed906bcf328d46,     0xbfd87de2a6aea963,     //   0.92388,  -0.38268
+    0x3fed9a00dd8b3d46,     0xbfd84f6aaaf3903f,     //   0.92505,  -0.37985
+    0x3feda383a9668988,     0xbfd820e3b04eaac4,     //   0.92621,  -0.37701
+    0x3fedacf42ce68ab9,     0xbfd7f24dd37341e3,     //   0.92736,  -0.37416
+    0x3fedb6526238a09b,     0xbfd7c3a9311dcce7,     //   0.92851,  -0.37132
+    0x3fedbf9e4395759a,     0xbfd794f5e613dfae,     //   0.92964,  -0.36847
+    0x3fedc8d7cb410260,     0xbfd766340f2418f6,     //   0.93077,  -0.36561
+    0x3fedd1fef38a915a,     0xbfd73763c9261092,     //   0.93188,  -0.36276
+    0x3feddb13b6ccc23d,     0xbfd7088530fa459e,     //   0.93299,   -0.3599
+    0x3fede4160f6d8d81,     0xbfd6d998638a0cb5,     //   0.93409,  -0.35703
+    0x3feded05f7de47da,     0xbfd6aa9d7dc77e16,     //   0.93518,  -0.35416
+    0x3fedf5e36a9ba59c,     0xbfd67b949cad63ca,     //   0.93627,  -0.35129
+    0x3fedfeae622dbe2b,     0xbfd64c7ddd3f27c6,     //   0.93734,  -0.34842
+    0x3fee0766d9280f54,     0xbfd61d595c88c203,     //    0.9384,  -0.34554
+    0x3fee100cca2980ac,     0xbfd5ee27379ea693,     //   0.93946,  -0.34266
+    0x3fee18a02fdc66d9,     0xbfd5bee78b9db3b6,     //   0.94051,  -0.33978
+    0x3fee212104f686e5,     0xbfd58f9a75ab1fdd,     //   0.94154,  -0.33689
+    0x3fee298f4439197a,     0xbfd5604012f467b4,     //   0.94257,    -0.334
+    0x3fee31eae870ce25,     0xbfd530d880af3c24,     //   0.94359,  -0.33111
+    0x3fee3a33ec75ce85,     0xbfd50163dc197047,     //    0.9446,  -0.32821
+    0x3fee426a4b2bc17e,     0xbfd4d1e24278e76a,     //   0.94561,  -0.32531
+    0x3fee4a8dff81ce5e,     0xbfd4a253d11b82f3,     //    0.9466,  -0.32241
+    0x3fee529f04729ffc,     0xbfd472b8a5571054,     //   0.94759,   -0.3195
+    0x3fee5a9d550467d3,     0xbfd44310dc8936f0,     //   0.94856,  -0.31659
+    0x3fee6288ec48e112,     0xbfd4135c94176602,     //   0.94953,  -0.31368
+    0x3fee6a61c55d53a7,     0xbfd3e39be96ec271,     //   0.95049,  -0.31077
+    0x3fee7227db6a9744,     0xbfd3b3cefa0414b7,     //   0.95144,  -0.30785
+    0x3fee79db29a5165a,     0xbfd383f5e353b6aa,     //   0.95238,  -0.30493
+    0x3fee817bab4cd10d,     0xbfd35410c2e18152,     //   0.95331,  -0.30201
+    0x3fee89095bad6025,     0xbfd3241fb638baaf,     //   0.95423,  -0.29908
+    0x3fee9084361df7f3,     0xbfd2f422daec0386,     //   0.95514,  -0.29615
+    0x3fee97ec36016b30,     0xbfd2c41a4e954520,     //   0.95605,  -0.29322
+    0x3fee9f4156c62dda,     0xbfd294062ed59f05,     //   0.95694,  -0.29028
+    0x3feea68393e65800,     0xbfd263e6995554ba,     //   0.95783,  -0.28735
+    0x3feeadb2e8e7a88e,     0xbfd233bbabc3bb72,     //    0.9587,  -0.28441
+    0x3feeb4cf515b8811,     0xbfd2038583d727bd,     //   0.95957,  -0.28146
+    0x3feebbd8c8df0b74,     0xbfd1d3443f4cdb3d,     //   0.96043,  -0.27852
+    0x3feec2cf4b1af6b2,     0xbfd1a2f7fbe8f243,     //   0.96128,  -0.27557
+    0x3feec9b2d3c3bf84,     0xbfd172a0d7765177,     //   0.96212,  -0.27262
+    0x3feed0835e999009,     0xbfd1423eefc69378,     //   0.96295,  -0.26967
+    0x3feed740e7684963,     0xbfd111d262b1f677,     //   0.96378,  -0.26671
+    0x3feeddeb6a078651,     0xbfd0e15b4e1749cd,     //   0.96459,  -0.26375
+    0x3feee482e25a9dbc,     0xbfd0b0d9cfdbdb90,     //   0.96539,  -0.26079
+    0x3feeeb074c50a544,     0xbfd0804e05eb661e,     //   0.96619,  -0.25783
+    0x3feef178a3e473c2,     0xbfd04fb80e37fdae,     //   0.96698,  -0.25487
+    0x3feef7d6e51ca3c0,     0xbfd01f1806b9fdd2,     //   0.96775,   -0.2519
+    0x3feefe220c0b95ec,     0xbfcfdcdc1adfedf8,     //   0.96852,  -0.24893
+    0x3fef045a14cf738c,     0xbfcf7b7480bd3801,     //   0.96928,  -0.24596
+    0x3fef0a7efb9230d7,     0xbfcf19f97b215f1a,     //   0.97003,  -0.24298
+    0x3fef1090bc898f5f,     0xbfceb86b462de348,     //   0.97077,     -0.24
+    0x3fef168f53f7205d,     0xbfce56ca1e101a1b,     //    0.9715,  -0.23702
+    0x3fef1c7abe284708,     0xbfcdf5163f01099a,     //   0.97223,  -0.23404
+    0x3fef2252f7763ada,     0xbfcd934fe5454311,     //   0.97294,  -0.23106
+    0x3fef2817fc4609ce,     0xbfcd31774d2cbdee,     //   0.97364,  -0.22807
+    0x3fef2dc9c9089a9d,     0xbfcccf8cb312b286,     //   0.97434,  -0.22508
+    0x3fef33685a3aaef0,     0xbfcc6d90535d74dc,     //   0.97503,  -0.22209
+    0x3fef38f3ac64e589,     0xbfcc0b826a7e4f63,     //    0.9757,   -0.2191
+    0x3fef3e6bbc1bbc65,     0xbfcba96334f15dad,     //   0.97637,  -0.21611
+    0x3fef43d085ff92dd,     0xbfcb4732ef3d6722,     //   0.97703,  -0.21311
+    0x3fef492206bcabb4,     0xbfcae4f1d5f3b9ab,     //   0.97768,  -0.21011
+    0x3fef4e603b0b2f2d,     0xbfca82a025b00451,     //   0.97832,  -0.20711
+    0x3fef538b1faf2d07,     0xbfca203e1b1831da,     //   0.97895,  -0.20411
+    0x3fef58a2b1789e84,     0xbfc9bdcbf2dc4366,     //   0.97957,   -0.2011
+    0x3fef5da6ed43685d,     0xbfc95b49e9b62af9,     //   0.98018,   -0.1981
+    0x3fef6297cff75cb0,     0xbfc8f8b83c69a60a,     //   0.98079,  -0.19509
+    0x3fef677556883cee,     0xbfc8961727c41804,     //   0.98138,  -0.19208
+    0x3fef6c3f7df5bbb7,     0xbfc83366e89c64c5,     //   0.98196,  -0.18907
+    0x3fef70f6434b7eb7,     0xbfc7d0a7bbd2cb1b,     //   0.98254,  -0.18606
+    0x3fef7599a3a12077,     0xbfc76dd9de50bf31,     //   0.98311,  -0.18304
+    0x3fef7a299c1a322a,     0xbfc70afd8d08c4ff,     //   0.98366,  -0.18002
+    0x3fef7ea629e63d6e,     0xbfc6a81304f64ab2,     //   0.98421,    -0.177
+    0x3fef830f4a40c60c,     0xbfc6451a831d830d,     //   0.98475,  -0.17398
+    0x3fef8764fa714ba9,     0xbfc5e214448b3fc6,     //   0.98528,  -0.17096
+    0x3fef8ba737cb4b78,     0xbfc57f008654cbde,     //    0.9858,  -0.16794
+    0x3fef8fd5ffae41db,     0xbfc51bdf8597c5f2,     //   0.98631,  -0.16491
+    0x3fef93f14f85ac08,     0xbfc4b8b17f79fa88,     //   0.98681,  -0.16189
+    0x3fef97f924c9099b,     0xbfc45576b1293e5a,     //    0.9873,  -0.15886
+    0x3fef9bed7cfbde29,     0xbfc3f22f57db4893,     //   0.98778,  -0.15583
+    0x3fef9fce55adb2c8,     0xbfc38edbb0cd8d14,     //   0.98826,   -0.1528
+    0x3fefa39bac7a1791,     0xbfc32b7bf94516a7,     //   0.98872,  -0.14976
+    0x3fefa7557f08a517,     0xbfc2c8106e8e613a,     //   0.98918,  -0.14673
+    0x3fefaafbcb0cfddc,     0xbfc264994dfd340a,     //   0.98962,   -0.1437
+    0x3fefae8e8e46cfbb,     0xbfc20116d4ec7bce,     //   0.99006,  -0.14066
+    0x3fefb20dc681d54d,     0xbfc19d8940be24e7,     //   0.99049,  -0.13762
+    0x3fefb5797195d741,     0xbfc139f0cedaf576,     //    0.9909,  -0.13458
+    0x3fefb8d18d66adb7,     0xbfc0d64dbcb26786,     //   0.99131,  -0.13154
+    0x3fefbc1617e44186,     0xbfc072a047ba831d,     //   0.99171,   -0.1285
+    0x3fefbf470f0a8d88,     0xbfc00ee8ad6fb85b,     //    0.9921,  -0.12545
+    0x3fefc26470e19fd3,     0xbfbf564e56a9730e,     //   0.99248,  -0.12241
+    0x3fefc56e3b7d9af6,     0xbfbe8eb7fde4aa3e,     //   0.99285,  -0.11937
+    0x3fefc8646cfeb721,     0xbfbdc70ecbae9fc8,     //   0.99321,  -0.11632
+    0x3fefcb4703914354,     0xbfbcff533b307dc1,     //   0.99356,  -0.11327
+    0x3fefce15fd6da67b,     0xbfbc3785c79ec2d5,     //   0.99391,  -0.11022
+    0x3fefd0d158d86087,     0xbfbb6fa6ec38f64c,     //   0.99424,  -0.10717
+    0x3fefd37914220b84,     0xbfbaa7b724495c04,     //   0.99456,  -0.10412
+    0x3fefd60d2da75c9e,     0xbfb9dfb6eb24a85c,     //   0.99488,  -0.10107
+    0x3fefd88da3d12526,     0xbfb917a6bc29b42c,     //   0.99518, -0.098017
+    0x3fefdafa7514538c,     0xbfb84f8712c130a0,     //   0.99548, -0.094963
+    0x3fefdd539ff1f456,     0xbfb787586a5d5b21,     //   0.99577, -0.091909
+    0x3fefdf9922f73307,     0xbfb6bf1b3e79b129,     //   0.99604, -0.088854
+    0x3fefe1cafcbd5b09,     0xbfb5f6d00a9aa419,     //   0.99631, -0.085797
+    0x3fefe3e92be9d886,     0xbfb52e774a4d4d0a,     //   0.99657,  -0.08274
+    0x3fefe5f3af2e3940,     0xbfb4661179272096,     //   0.99682, -0.079682
+    0x3fefe7ea85482d60,     0xbfb39d9f12c5a299,     //   0.99706, -0.076624
+    0x3fefe9cdad01883a,     0xbfb2d52092ce19f6,     //   0.99729, -0.073565
+    0x3fefeb9d2530410f,     0xbfb20c9674ed444c,     //   0.99751, -0.070505
+    0x3fefed58ecb673c4,     0xbfb1440134d709b2,     //   0.99772, -0.067444
+    0x3fefef0102826191,     0xbfb07b614e463064,     //   0.99793, -0.064383
+    0x3feff095658e71ad,     0xbfaf656e79f820e0,     //   0.99812, -0.061321
+    0x3feff21614e131ed,     0xbfadd406f9808ec8,     //    0.9983, -0.058258
+    0x3feff3830f8d575c,     0xbfac428d12c0d7e3,     //   0.99848, -0.055195
+    0x3feff4dc54b1bed3,     0xbfaab101bd5f8317,     //   0.99864, -0.052132
+    0x3feff621e3796d7e,     0xbfa91f65f10dd814,     //    0.9988, -0.049068
+    0x3feff753bb1b9164,     0xbfa78dbaa5874685,     //   0.99894, -0.046003
+    0x3feff871dadb81df,     0xbfa5fc00d290cd43,     //   0.99908, -0.042938
+    0x3feff97c4208c014,     0xbfa46a396ff86179,     //    0.9992, -0.039873
+    0x3feffa72effef75d,     0xbfa2d865759455cd,     //   0.99932, -0.036807
+    0x3feffb55e425fdae,     0xbfa14685db42c17e,     //   0.99943, -0.033741
+    0x3feffc251df1d3f8,     0xbf9f693731d1cf01,     //   0.99953, -0.030675
+    0x3feffce09ce2a679,     0xbf9c454f4ce53b1c,     //   0.99962, -0.027608
+    0x3feffd886084cd0d,     0xbf992155f7a3667e,     //    0.9997, -0.024541
+    0x3feffe1c6870cb77,     0xbf95fd4d21fab226,     //   0.99977, -0.021474
+    0x3feffe9cb44b51a1,     0xbf92d936bbe30efd,     //   0.99983, -0.018407
+    0x3fefff0943c53bd1,     0xbf8f6a296ab997ca,     //   0.99988, -0.015339
+    0x3fefff62169b92db,     0xbf8921d1fcdec784,     //   0.99992, -0.012272
+    0x3fefffa72c978c4f,     0xbf82d96b0e509703,     //   0.99996,-0.0092038
+    0x3fefffd8858e8a92,     0xbf7921f0fe670071,     //   0.99998,-0.0061359
+    0x3feffff621621d02,     0xbf6921f8becca4ba,     //         1, -0.003068
+
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_4096)
+/**
+  @par
+  Example code for Double Precision Floating-point Twiddle factors Generation:
+  @par
+  <pre>for (i = 0; i< N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  } </pre>
+  @par
+  where N = 4096, PI = 3.14159265358979
+  @par
+  Cos and Sin values are in interleaved fashion
+*/
+const uint64_t twiddleCoefF64_4096[8192] = {
+    0x3ff0000000000000,     0x0000000000000000,     //         1,         0
+    0x3feffffd88586ee6,     0x3f5921faaee6472d,     //         1,  0.001534
+    0x3feffff621621d02,     0x3f6921f8becca4ba,     //         1,  0.003068
+    0x3fefffe9cb1e2e8d,     0x3f72d97822f996bc,     //   0.99999, 0.0046019
+    0x3fefffd8858e8a92,     0x3f7921f0fe670071,     //   0.99998, 0.0061359
+    0x3fefffc250b5daef,     0x3f7f6a65f9a2a3c5,     //   0.99997, 0.0076698
+    0x3fefffa72c978c4f,     0x3f82d96b0e509703,     //   0.99996, 0.0092038
+    0x3fefff871937ce2f,     0x3f85fda037ac05e0,     //   0.99994,  0.010738
+    0x3fefff62169b92db,     0x3f8921d1fcdec784,     //   0.99992,  0.012272
+    0x3fefff3824c88f6f,     0x3f8c45ffe1e48ad9,     //    0.9999,  0.013805
+    0x3fefff0943c53bd1,     0x3f8f6a296ab997ca,     //   0.99988,  0.015339
+    0x3feffed57398d2b7,     0x3f9147270dad7132,     //   0.99986,  0.016873
+    0x3feffe9cb44b51a1,     0x3f92d936bbe30efd,     //   0.99983,  0.018407
+    0x3feffe5f05e578db,     0x3f946b4381fce81c,     //    0.9998,   0.01994
+    0x3feffe1c6870cb77,     0x3f95fd4d21fab226,     //   0.99977,  0.021474
+    0x3feffdd4dbf78f52,     0x3f978f535ddc9f03,     //   0.99974,  0.023008
+    0x3feffd886084cd0d,     0x3f992155f7a3667e,     //    0.9997,  0.024541
+    0x3feffd36f624500c,     0x3f9ab354b1504fca,     //   0.99966,  0.026075
+    0x3feffce09ce2a679,     0x3f9c454f4ce53b1c,     //   0.99962,  0.027608
+    0x3feffc8554cd213a,     0x3f9dd7458c64ab39,     //   0.99958,  0.029142
+    0x3feffc251df1d3f8,     0x3f9f693731d1cf01,     //   0.99953,  0.030675
+    0x3feffbbff85f9515,     0x3fa07d91ff984580,     //   0.99948,  0.032208
+    0x3feffb55e425fdae,     0x3fa14685db42c17e,     //   0.99943,  0.033741
+    0x3feffae6e1556998,     0x3fa20f770ceb11c6,     //   0.99938,  0.035274
+    0x3feffa72effef75d,     0x3fa2d865759455cd,     //   0.99932,  0.036807
+    0x3feff9fa10348837,     0x3fa3a150f6421afc,     //   0.99926,   0.03834
+    0x3feff97c4208c014,     0x3fa46a396ff86179,     //    0.9992,  0.039873
+    0x3feff8f9858f058b,     0x3fa5331ec3bba0eb,     //   0.99914,  0.041406
+    0x3feff871dadb81df,     0x3fa5fc00d290cd43,     //   0.99908,  0.042938
+    0x3feff7e5420320f9,     0x3fa6c4df7d7d5b84,     //   0.99901,  0.044471
+    0x3feff753bb1b9164,     0x3fa78dbaa5874685,     //   0.99894,  0.046003
+    0x3feff6bd463b444d,     0x3fa856922bb513c1,     //   0.99887,  0.047535
+    0x3feff621e3796d7e,     0x3fa91f65f10dd814,     //    0.9988,  0.049068
+    0x3feff58192ee0358,     0x3fa9e835d6993c87,     //   0.99872,    0.0506
+    0x3feff4dc54b1bed3,     0x3faab101bd5f8317,     //   0.99864,  0.052132
+    0x3feff43228de1b77,     0x3fab79c986698b78,     //   0.99856,  0.053664
+    0x3feff3830f8d575c,     0x3fac428d12c0d7e3,     //   0.99848,  0.055195
+    0x3feff2cf08da7321,     0x3fad0b4c436f91d0,     //   0.99839,  0.056727
+    0x3feff21614e131ed,     0x3fadd406f9808ec8,     //    0.9983,  0.058258
+    0x3feff15833be1965,     0x3fae9cbd15ff5527,     //   0.99821,   0.05979
+    0x3feff095658e71ad,     0x3faf656e79f820e0,     //   0.99812,  0.061321
+    0x3fefefcdaa704562,     0x3fb0170d833bf421,     //   0.99802,  0.062852
+    0x3fefef0102826191,     0x3fb07b614e463064,     //   0.99793,  0.064383
+    0x3fefee2f6de455ba,     0x3fb0dfb28ea201e6,     //   0.99783,  0.065913
+    0x3fefed58ecb673c4,     0x3fb1440134d709b2,     //   0.99772,  0.067444
+    0x3fefec7d7f19cffc,     0x3fb1a84d316d4f8a,     //   0.99762,  0.068974
+    0x3fefeb9d2530410f,     0x3fb20c9674ed444c,     //   0.99751,  0.070505
+    0x3fefeab7df1c6005,     0x3fb270dcefdfc45b,     //    0.9974,  0.072035
+    0x3fefe9cdad01883a,     0x3fb2d52092ce19f6,     //   0.99729,  0.073565
+    0x3fefe8de8f03d75c,     0x3fb339614e41ffa5,     //   0.99718,  0.075094
+    0x3fefe7ea85482d60,     0x3fb39d9f12c5a299,     //   0.99706,  0.076624
+    0x3fefe6f18ff42c84,     0x3fb401d9d0e3a507,     //   0.99694,  0.078153
+    0x3fefe5f3af2e3940,     0x3fb4661179272096,     //   0.99682,  0.079682
+    0x3fefe4f0e31d7a4a,     0x3fb4ca45fc1ba8b6,     //    0.9967,  0.081211
+    0x3fefe3e92be9d886,     0x3fb52e774a4d4d0a,     //   0.99657,   0.08274
+    0x3fefe2dc89bbff08,     0x3fb592a554489bc8,     //   0.99644,  0.084269
+    0x3fefe1cafcbd5b09,     0x3fb5f6d00a9aa419,     //   0.99631,  0.085797
+    0x3fefe0b485181be3,     0x3fb65af75dd0f87b,     //   0.99618,  0.087326
+    0x3fefdf9922f73307,     0x3fb6bf1b3e79b129,     //   0.99604,  0.088854
+    0x3fefde78d68653fd,     0x3fb7233b9d236e71,     //   0.99591,  0.090381
+    0x3fefdd539ff1f456,     0x3fb787586a5d5b21,     //   0.99577,  0.091909
+    0x3fefdc297f674ba9,     0x3fb7eb7196b72ee4,     //   0.99563,  0.093436
+    0x3fefdafa7514538c,     0x3fb84f8712c130a0,     //   0.99548,  0.094963
+    0x3fefd9c68127c78c,     0x3fb8b398cf0c38e0,     //   0.99533,   0.09649
+    0x3fefd88da3d12526,     0x3fb917a6bc29b42c,     //   0.99518,  0.098017
+    0x3fefd74fdd40abbf,     0x3fb97bb0caaba56f,     //   0.99503,  0.099544
+    0x3fefd60d2da75c9e,     0x3fb9dfb6eb24a85c,     //   0.99488,   0.10107
+    0x3fefd4c59536fae4,     0x3fba43b90e27f3c4,     //   0.99472,    0.1026
+    0x3fefd37914220b84,     0x3fbaa7b724495c04,     //   0.99456,   0.10412
+    0x3fefd227aa9bd53b,     0x3fbb0bb11e1d5559,     //    0.9944,   0.10565
+    0x3fefd0d158d86087,     0x3fbb6fa6ec38f64c,     //   0.99424,   0.10717
+    0x3fefcf761f0c77a3,     0x3fbbd3987f31fa0e,     //   0.99407,    0.1087
+    0x3fefce15fd6da67b,     0x3fbc3785c79ec2d5,     //   0.99391,   0.11022
+    0x3fefccb0f4323aa3,     0x3fbc9b6eb6165c42,     //   0.99374,   0.11175
+    0x3fefcb4703914354,     0x3fbcff533b307dc1,     //   0.99356,   0.11327
+    0x3fefc9d82bc2915e,     0x3fbd633347858ce4,     //   0.99339,   0.11479
+    0x3fefc8646cfeb721,     0x3fbdc70ecbae9fc8,     //   0.99321,   0.11632
+    0x3fefc6ebc77f0887,     0x3fbe2ae5b8457f77,     //   0.99303,   0.11784
+    0x3fefc56e3b7d9af6,     0x3fbe8eb7fde4aa3e,     //   0.99285,   0.11937
+    0x3fefc3ebc935454c,     0x3fbef2858d27561b,     //   0.99267,   0.12089
+    0x3fefc26470e19fd3,     0x3fbf564e56a9730e,     //   0.99248,   0.12241
+    0x3fefc0d832bf043a,     0x3fbfba124b07ad85,     //   0.99229,   0.12393
+    0x3fefbf470f0a8d88,     0x3fc00ee8ad6fb85b,     //    0.9921,   0.12545
+    0x3fefbdb106021816,     0x3fc040c5bb67747e,     //   0.99191,   0.12698
+    0x3fefbc1617e44186,     0x3fc072a047ba831d,     //   0.99171,    0.1285
+    0x3fefba7644f068b5,     0x3fc0a4784ab8bf1d,     //   0.99151,   0.13002
+    0x3fefb8d18d66adb7,     0x3fc0d64dbcb26786,     //   0.99131,   0.13154
+    0x3fefb727f187f1c7,     0x3fc1082095f820b0,     //   0.99111,   0.13306
+    0x3fefb5797195d741,     0x3fc139f0cedaf576,     //    0.9909,   0.13458
+    0x3fefb3c60dd2c199,     0x3fc16bbe5fac5865,     //    0.9907,    0.1361
+    0x3fefb20dc681d54d,     0x3fc19d8940be24e7,     //   0.99049,   0.13762
+    0x3fefb0509be6f7db,     0x3fc1cf516a62a077,     //   0.99027,   0.13914
+    0x3fefae8e8e46cfbb,     0x3fc20116d4ec7bce,     //   0.99006,   0.14066
+    0x3fefacc79de6c44f,     0x3fc232d978aed413,     //   0.98984,   0.14218
+    0x3fefaafbcb0cfddc,     0x3fc264994dfd340a,     //   0.98962,    0.1437
+    0x3fefa92b1600657c,     0x3fc296564d2b953e,     //    0.9894,   0.14521
+    0x3fefa7557f08a517,     0x3fc2c8106e8e613a,     //   0.98918,   0.14673
+    0x3fefa57b066e2754,     0x3fc2f9c7aa7a72af,     //   0.98895,   0.14825
+    0x3fefa39bac7a1791,     0x3fc32b7bf94516a7,     //   0.98872,   0.14976
+    0x3fefa1b7717661d5,     0x3fc35d2d53440db2,     //   0.98849,   0.15128
+    0x3fef9fce55adb2c8,     0x3fc38edbb0cd8d14,     //   0.98826,    0.1528
+    0x3fef9de0596b77a3,     0x3fc3c0870a383ff6,     //   0.98802,   0.15431
+    0x3fef9bed7cfbde29,     0x3fc3f22f57db4893,     //   0.98778,   0.15583
+    0x3fef99f5c0abd496,     0x3fc423d4920e4166,     //   0.98754,   0.15734
+    0x3fef97f924c9099b,     0x3fc45576b1293e5a,     //    0.9873,   0.15886
+    0x3fef95f7a9a1ec47,     0x3fc48715ad84cdf5,     //   0.98706,   0.16037
+    0x3fef93f14f85ac08,     0x3fc4b8b17f79fa88,     //   0.98681,   0.16189
+    0x3fef91e616c43891,     0x3fc4ea4a1f624b61,     //   0.98656,    0.1634
+    0x3fef8fd5ffae41db,     0x3fc51bdf8597c5f2,     //   0.98631,   0.16491
+    0x3fef8dc10a95380d,     0x3fc54d71aa74ef02,     //   0.98605,   0.16643
+    0x3fef8ba737cb4b78,     0x3fc57f008654cbde,     //    0.9858,   0.16794
+    0x3fef898887a36c84,     0x3fc5b08c1192e381,     //   0.98554,   0.16945
+    0x3fef8764fa714ba9,     0x3fc5e214448b3fc6,     //   0.98528,   0.17096
+    0x3fef853c9089595e,     0x3fc61399179a6e94,     //   0.98501,   0.17247
+    0x3fef830f4a40c60c,     0x3fc6451a831d830d,     //   0.98475,   0.17398
+    0x3fef80dd27ed8204,     0x3fc676987f7216b8,     //   0.98448,   0.17549
+    0x3fef7ea629e63d6e,     0x3fc6a81304f64ab2,     //   0.98421,     0.177
+    0x3fef7c6a50826840,     0x3fc6d98a0c08c8da,     //   0.98394,   0.17851
+    0x3fef7a299c1a322a,     0x3fc70afd8d08c4ff,     //   0.98366,   0.18002
+    0x3fef77e40d068a90,     0x3fc73c6d8055fe0a,     //   0.98339,   0.18153
+    0x3fef7599a3a12077,     0x3fc76dd9de50bf31,     //   0.98311,   0.18304
+    0x3fef734a60446279,     0x3fc79f429f59e11d,     //   0.98282,   0.18455
+    0x3fef70f6434b7eb7,     0x3fc7d0a7bbd2cb1b,     //   0.98254,   0.18606
+    0x3fef6e9d4d1262ca,     0x3fc802092c1d744b,     //   0.98225,   0.18756
+    0x3fef6c3f7df5bbb7,     0x3fc83366e89c64c5,     //   0.98196,   0.18907
+    0x3fef69dcd652f5de,     0x3fc864c0e9b2b6cf,     //   0.98167,   0.19057
+    0x3fef677556883cee,     0x3fc8961727c41804,     //   0.98138,   0.19208
+    0x3fef6508fef47bd5,     0x3fc8c7699b34ca7e,     //   0.98108,   0.19359
+    0x3fef6297cff75cb0,     0x3fc8f8b83c69a60a,     //   0.98079,   0.19509
+    0x3fef6021c9f148c2,     0x3fc92a0303c8194f,     //   0.98048,   0.19659
+    0x3fef5da6ed43685d,     0x3fc95b49e9b62af9,     //   0.98018,    0.1981
+    0x3fef5b273a4fa2d9,     0x3fc98c8ce69a7aec,     //   0.97988,    0.1996
+    0x3fef58a2b1789e84,     0x3fc9bdcbf2dc4366,     //   0.97957,    0.2011
+    0x3fef56195321c090,     0x3fc9ef0706e35a35,     //   0.97926,   0.20261
+    0x3fef538b1faf2d07,     0x3fca203e1b1831da,     //   0.97895,   0.20411
+    0x3fef50f81785c6b9,     0x3fca517127e3dabc,     //   0.97863,   0.20561
+    0x3fef4e603b0b2f2d,     0x3fca82a025b00451,     //   0.97832,   0.20711
+    0x3fef4bc38aa5c694,     0x3fcab3cb0ce6fe44,     //     0.978,   0.20861
+    0x3fef492206bcabb4,     0x3fcae4f1d5f3b9ab,     //   0.97768,   0.21011
+    0x3fef467bafb7bbe0,     0x3fcb16147941ca2a,     //   0.97735,   0.21161
+    0x3fef43d085ff92dd,     0x3fcb4732ef3d6722,     //   0.97703,   0.21311
+    0x3fef412089fd8adc,     0x3fcb784d30536cda,     //    0.9767,   0.21461
+    0x3fef3e6bbc1bbc65,     0x3fcba96334f15dad,     //   0.97637,   0.21611
+    0x3fef3bb21cc4fe47,     0x3fcbda74f5856330,     //   0.97604,    0.2176
+    0x3fef38f3ac64e589,     0x3fcc0b826a7e4f63,     //    0.9757,    0.2191
+    0x3fef36306b67c556,     0x3fcc3c8b8c4b9dd7,     //   0.97536,    0.2206
+    0x3fef33685a3aaef0,     0x3fcc6d90535d74dc,     //   0.97503,   0.22209
+    0x3fef309b794b719f,     0x3fcc9e90b824a6a9,     //   0.97468,   0.22359
+    0x3fef2dc9c9089a9d,     0x3fcccf8cb312b286,     //   0.97434,   0.22508
+    0x3fef2af349e17507,     0x3fcd00843c99c5f9,     //   0.97399,   0.22658
+    0x3fef2817fc4609ce,     0x3fcd31774d2cbdee,     //   0.97364,   0.22807
+    0x3fef2537e0a71f9f,     0x3fcd6265dd3f27e3,     //   0.97329,   0.22957
+    0x3fef2252f7763ada,     0x3fcd934fe5454311,     //   0.97294,   0.23106
+    0x3fef1f6941259d7a,     0x3fcdc4355db40195,     //   0.97258,   0.23255
+    0x3fef1c7abe284708,     0x3fcdf5163f01099a,     //   0.97223,   0.23404
+    0x3fef19876ef1f486,     0x3fce25f281a2b684,     //   0.97187,   0.23553
+    0x3fef168f53f7205d,     0x3fce56ca1e101a1b,     //    0.9715,   0.23702
+    0x3fef13926dad024e,     0x3fce879d0cc0fdaf,     //   0.97114,   0.23851
+    0x3fef1090bc898f5f,     0x3fceb86b462de348,     //   0.97077,      0.24
+    0x3fef0d8a410379c5,     0x3fcee934c2d006c7,     //    0.9704,   0.24149
+    0x3fef0a7efb9230d7,     0x3fcf19f97b215f1a,     //   0.97003,   0.24298
+    0x3fef076eecade0fa,     0x3fcf4ab9679c9f5c,     //   0.96966,   0.24447
+    0x3fef045a14cf738c,     0x3fcf7b7480bd3801,     //   0.96928,   0.24596
+    0x3fef014074708ed3,     0x3fcfac2abeff57ff,     //    0.9689,   0.24744
+    0x3feefe220c0b95ec,     0x3fcfdcdc1adfedf8,     //   0.96852,   0.24893
+    0x3feefafedc1ba8b7,     0x3fd006c4466e54af,     //   0.96814,   0.25041
+    0x3feef7d6e51ca3c0,     0x3fd01f1806b9fdd2,     //   0.96775,    0.2519
+    0x3feef4aa278b2032,     0x3fd037694a928cac,     //   0.96737,   0.25338
+    0x3feef178a3e473c2,     0x3fd04fb80e37fdae,     //   0.96698,   0.25487
+    0x3feeee425aa6b09a,     0x3fd068044deab002,     //   0.96658,   0.25635
+    0x3feeeb074c50a544,     0x3fd0804e05eb661e,     //   0.96619,   0.25783
+    0x3feee7c77961dc9e,     0x3fd09895327b465e,     //   0.96579,   0.25931
+    0x3feee482e25a9dbc,     0x3fd0b0d9cfdbdb90,     //   0.96539,   0.26079
+    0x3feee13987bbebdc,     0x3fd0c91bda4f158d,     //   0.96499,   0.26227
+    0x3feeddeb6a078651,     0x3fd0e15b4e1749cd,     //   0.96459,   0.26375
+    0x3feeda9889bfe86a,     0x3fd0f998277733f7,     //   0.96418,   0.26523
+    0x3feed740e7684963,     0x3fd111d262b1f677,     //   0.96378,   0.26671
+    0x3feed3e483849c51,     0x3fd12a09fc0b1b12,     //   0.96337,   0.26819
+    0x3feed0835e999009,     0x3fd1423eefc69378,     //   0.96295,   0.26967
+    0x3feecd1d792c8f10,     0x3fd15a713a28b9d9,     //   0.96254,   0.27115
+    0x3feec9b2d3c3bf84,     0x3fd172a0d7765177,     //   0.96212,   0.27262
+    0x3feec6436ee60309,     0x3fd18acdc3f4873a,     //    0.9617,    0.2741
+    0x3feec2cf4b1af6b2,     0x3fd1a2f7fbe8f243,     //   0.96128,   0.27557
+    0x3feebf5668eaf2ef,     0x3fd1bb1f7b999480,     //   0.96086,   0.27705
+    0x3feebbd8c8df0b74,     0x3fd1d3443f4cdb3d,     //   0.96043,   0.27852
+    0x3feeb8566b810f2a,     0x3fd1eb6643499fbb,     //      0.96,   0.27999
+    0x3feeb4cf515b8811,     0x3fd2038583d727bd,     //   0.95957,   0.28146
+    0x3feeb1437af9bb34,     0x3fd21ba1fd3d2623,     //   0.95914,   0.28294
+    0x3feeadb2e8e7a88e,     0x3fd233bbabc3bb72,     //    0.9587,   0.28441
+    0x3feeaa1d9bb20af3,     0x3fd24bd28bb37672,     //   0.95827,   0.28588
+    0x3feea68393e65800,     0x3fd263e6995554ba,     //   0.95783,   0.28735
+    0x3feea2e4d212c000,     0x3fd27bf7d0f2c346,     //   0.95738,   0.28882
+    0x3fee9f4156c62dda,     0x3fd294062ed59f05,     //   0.95694,   0.29028
+    0x3fee9b99229046f8,     0x3fd2ac11af483572,     //   0.95649,   0.29175
+    0x3fee97ec36016b30,     0x3fd2c41a4e954520,     //   0.95605,   0.29322
+    0x3fee943a91aab4b4,     0x3fd2dc200907fe51,     //   0.95559,   0.29469
+    0x3fee9084361df7f3,     0x3fd2f422daec0386,     //   0.95514,   0.29615
+    0x3fee8cc923edc388,     0x3fd30c22c08d6a13,     //   0.95469,   0.29762
+    0x3fee89095bad6025,     0x3fd3241fb638baaf,     //   0.95423,   0.29908
+    0x3fee8544ddf0d075,     0x3fd33c19b83af207,     //   0.95377,   0.30054
+    0x3fee817bab4cd10d,     0x3fd35410c2e18152,     //   0.95331,   0.30201
+    0x3fee7dadc456d850,     0x3fd36c04d27a4edf,     //   0.95284,   0.30347
+    0x3fee79db29a5165a,     0x3fd383f5e353b6aa,     //   0.95238,   0.30493
+    0x3fee7603dbce74e9,     0x3fd39be3f1bc8aef,     //   0.95191,   0.30639
+    0x3fee7227db6a9744,     0x3fd3b3cefa0414b7,     //   0.95144,   0.30785
+    0x3fee6e472911da27,     0x3fd3cbb6f87a146e,     //   0.95096,   0.30931
+    0x3fee6a61c55d53a7,     0x3fd3e39be96ec271,     //   0.95049,   0.31077
+    0x3fee6677b0e6d31e,     0x3fd3fb7dc932cfa4,     //   0.95001,   0.31222
+    0x3fee6288ec48e112,     0x3fd4135c94176602,     //   0.94953,   0.31368
+    0x3fee5e95781ebf1c,     0x3fd42b38466e2928,     //   0.94905,   0.31514
+    0x3fee5a9d550467d3,     0x3fd44310dc8936f0,     //   0.94856,   0.31659
+    0x3fee56a083968eb1,     0x3fd45ae652bb2800,     //   0.94807,   0.31805
+    0x3fee529f04729ffc,     0x3fd472b8a5571054,     //   0.94759,    0.3195
+    0x3fee4e98d836c0af,     0x3fd48a87d0b07fd7,     //   0.94709,   0.32096
+    0x3fee4a8dff81ce5e,     0x3fd4a253d11b82f3,     //    0.9466,   0.32241
+    0x3fee467e7af35f23,     0x3fd4ba1ca2eca31c,     //   0.94611,   0.32386
+    0x3fee426a4b2bc17e,     0x3fd4d1e24278e76a,     //   0.94561,   0.32531
+    0x3fee3e5170cbfc46,     0x3fd4e9a4ac15d520,     //   0.94511,   0.32676
+    0x3fee3a33ec75ce85,     0x3fd50163dc197047,     //    0.9446,   0.32821
+    0x3fee3611becbaf69,     0x3fd5191fceda3c35,     //    0.9441,   0.32966
+    0x3fee31eae870ce25,     0x3fd530d880af3c24,     //   0.94359,   0.33111
+    0x3fee2dbf6a0911d9,     0x3fd5488dedeff3be,     //   0.94308,   0.33255
+    0x3fee298f4439197a,     0x3fd5604012f467b4,     //   0.94257,     0.334
+    0x3fee255a77a63bb8,     0x3fd577eeec151e47,     //   0.94206,   0.33545
+    0x3fee212104f686e5,     0x3fd58f9a75ab1fdd,     //   0.94154,   0.33689
+    0x3fee1ce2ecd0c0d8,     0x3fd5a742ac0ff78d,     //   0.94103,   0.33833
+    0x3fee18a02fdc66d9,     0x3fd5bee78b9db3b6,     //   0.94051,   0.33978
+    0x3fee1458cec1ad83,     0x3fd5d68910aee686,     //   0.93998,   0.34122
+    0x3fee100cca2980ac,     0x3fd5ee27379ea693,     //   0.93946,   0.34266
+    0x3fee0bbc22bd8349,     0x3fd605c1fcc88f63,     //   0.93893,    0.3441
+    0x3fee0766d9280f54,     0x3fd61d595c88c203,     //    0.9384,   0.34554
+    0x3fee030cee1435b8,     0x3fd634ed533be58e,     //   0.93787,   0.34698
+    0x3fedfeae622dbe2b,     0x3fd64c7ddd3f27c6,     //   0.93734,   0.34842
+    0x3fedfa4b3621271d,     0x3fd6640af6f03d9e,     //    0.9368,   0.34986
+    0x3fedf5e36a9ba59c,     0x3fd67b949cad63ca,     //   0.93627,   0.35129
+    0x3fedf177004b2534,     0x3fd6931acad55f51,     //   0.93573,   0.35273
+    0x3feded05f7de47da,     0x3fd6aa9d7dc77e16,     //   0.93518,   0.35416
+    0x3fede890520465ce,     0x3fd6c21cb1e39771,     //   0.93464,    0.3556
+    0x3fede4160f6d8d81,     0x3fd6d998638a0cb5,     //   0.93409,   0.35703
+    0x3feddf9730ca837b,     0x3fd6f1108f1bc9c5,     //   0.93354,   0.35846
+    0x3feddb13b6ccc23d,     0x3fd7088530fa459e,     //   0.93299,    0.3599
+    0x3fedd68ba2267a25,     0x3fd71ff6458782ec,     //   0.93244,   0.36133
+    0x3fedd1fef38a915a,     0x3fd73763c9261092,     //   0.93188,   0.36276
+    0x3fedcd6dabaca3a5,     0x3fd74ecdb8390a3e,     //   0.93133,   0.36418
+    0x3fedc8d7cb410260,     0x3fd766340f2418f6,     //   0.93077,   0.36561
+    0x3fedc43d52fcb453,     0x3fd77d96ca4b73a6,     //   0.93021,   0.36704
+    0x3fedbf9e4395759a,     0x3fd794f5e613dfae,     //   0.92964,   0.36847
+    0x3fedbafa9dc1b78d,     0x3fd7ac515ee2b172,     //   0.92907,   0.36989
+    0x3fedb6526238a09b,     0x3fd7c3a9311dcce7,     //   0.92851,   0.37132
+    0x3fedb1a591b20c38,     0x3fd7dafd592ba621,     //   0.92794,   0.37274
+    0x3fedacf42ce68ab9,     0x3fd7f24dd37341e3,     //   0.92736,   0.37416
+    0x3feda83e348f613b,     0x3fd8099a9c5c362d,     //   0.92679,   0.37559
+    0x3feda383a9668988,     0x3fd820e3b04eaac4,     //   0.92621,   0.37701
+    0x3fed9ec48c26b1f3,     0x3fd838290bb359c8,     //   0.92563,   0.37843
+    0x3fed9a00dd8b3d46,     0x3fd84f6aaaf3903f,     //   0.92505,   0.37985
+    0x3fed95389e50429b,     0x3fd866a88a792ea0,     //   0.92447,   0.38127
+    0x3fed906bcf328d46,     0x3fd87de2a6aea963,     //   0.92388,   0.38268
+    0x3fed8b9a70ef9cb4,     0x3fd89518fbff098e,     //   0.92329,    0.3841
+    0x3fed86c48445a450,     0x3fd8ac4b86d5ed44,     //    0.9227,   0.38552
+    0x3fed81ea09f38b63,     0x3fd8c37a439f884f,     //   0.92211,   0.38693
+    0x3fed7d0b02b8ecf9,     0x3fd8daa52ec8a4af,     //   0.92151,   0.38835
+    0x3fed78276f5617c6,     0x3fd8f1cc44bea329,     //   0.92092,   0.38976
+    0x3fed733f508c0dff,     0x3fd908ef81ef7bd1,     //   0.92032,   0.39117
+    0x3fed6e52a71c8547,     0x3fd9200ee2c9be97,     //   0.91972,   0.39258
+    0x3fed696173c9e68b,     0x3fd9372a63bc93d7,     //   0.91911,   0.39399
+    0x3fed646bb7574de5,     0x3fd94e420137bce3,     //   0.91851,    0.3954
+    0x3fed5f7172888a7f,     0x3fd96555b7ab948f,     //    0.9179,   0.39681
+    0x3fed5a72a6221e73,     0x3fd97c6583890fc2,     //   0.91729,   0.39822
+    0x3fed556f52e93eb1,     0x3fd993716141bdfe,     //   0.91668,   0.39962
+    0x3fed506779a3d2d9,     0x3fd9aa794d47c9ee,     //   0.91606,   0.40103
+    0x3fed4b5b1b187524,     0x3fd9c17d440df9f2,     //   0.91545,   0.40243
+    0x3fed464a380e7242,     0x3fd9d87d4207b0ab,     //   0.91483,   0.40384
+    0x3fed4134d14dc93a,     0x3fd9ef7943a8ed8a,     //   0.91421,   0.40524
+    0x3fed3c1ae79f2b4e,     0x3fda067145664d57,     //   0.91359,   0.40664
+    0x3fed36fc7bcbfbdc,     0x3fda1d6543b50ac0,     //   0.91296,   0.40804
+    0x3fed31d98e9e503a,     0x3fda34553b0afee5,     //   0.91234,   0.40944
+    0x3fed2cb220e0ef9f,     0x3fda4b4127dea1e4,     //   0.91171,   0.41084
+    0x3fed2786335f52fc,     0x3fda622906a70b63,     //   0.91107,   0.41224
+    0x3fed2255c6e5a4e1,     0x3fda790cd3dbf31a,     //   0.91044,   0.41364
+    0x3fed1d20dc40c15c,     0x3fda8fec8bf5b166,     //   0.90981,   0.41503
+    0x3fed17e7743e35dc,     0x3fdaa6c82b6d3fc9,     //   0.90917,   0.41643
+    0x3fed12a98fac410c,     0x3fdabd9faebc3980,     //   0.90853,   0.41782
+    0x3fed0d672f59d2b9,     0x3fdad473125cdc08,     //   0.90789,   0.41922
+    0x3fed082054168bac,     0x3fdaeb4252ca07ab,     //   0.90724,   0.42061
+    0x3fed02d4feb2bd92,     0x3fdb020d6c7f4009,     //    0.9066,     0.422
+    0x3fecfd852fff6ad4,     0x3fdb18d45bf8aca6,     //   0.90595,   0.42339
+    0x3fecf830e8ce467b,     0x3fdb2f971db31972,     //    0.9053,   0.42478
+    0x3fecf2d829f1b40e,     0x3fdb4655ae2bf757,     //   0.90464,   0.42617
+    0x3feced7af43cc773,     0x3fdb5d1009e15cc0,     //   0.90399,   0.42756
+    0x3fece819488344ce,     0x3fdb73c62d520624,     //   0.90333,   0.42894
+    0x3fece2b32799a060,     0x3fdb8a7814fd5693,     //   0.90267,   0.43033
+    0x3fecdd489254fe65,     0x3fdba125bd63583e,     //   0.90201,   0.43171
+    0x3fecd7d9898b32f6,     0x3fdbb7cf2304bd01,     //   0.90135,   0.43309
+    0x3fecd2660e12c1e6,     0x3fdbce744262deee,     //   0.90068,   0.43448
+    0x3fecccee20c2de9f,     0x3fdbe51517ffc0d9,     //   0.90002,   0.43586
+    0x3fecc771c2736c09,     0x3fdbfbb1a05e0edc,     //   0.89935,   0.43724
+    0x3fecc1f0f3fcfc5c,     0x3fdc1249d8011ee7,     //   0.89867,   0.43862
+    0x3fecbc6bb638d10b,     0x3fdc28ddbb6cf145,     //     0.898,   0.43999
+    0x3fecb6e20a00da99,     0x3fdc3f6d47263129,     //   0.89732,   0.44137
+    0x3fecb153f02fb87d,     0x3fdc55f877b23537,     //   0.89665,   0.44275
+    0x3fecabc169a0b901,     0x3fdc6c7f4997000a,     //   0.89597,   0.44412
+    0x3feca62a772fd919,     0x3fdc8301b95b40c2,     //   0.89528,    0.4455
+    0x3feca08f19b9c449,     0x3fdc997fc3865388,     //    0.8946,   0.44687
+    0x3fec9aef521bd480,     0x3fdcaff964a0421d,     //   0.89391,   0.44824
+    0x3fec954b213411f5,     0x3fdcc66e9931c45d,     //   0.89322,   0.44961
+    0x3fec8fa287e13305,     0x3fdcdcdf5dc440ce,     //   0.89253,   0.45098
+    0x3fec89f587029c13,     0x3fdcf34baee1cd21,     //   0.89184,   0.45235
+    0x3fec84441f785f61,     0x3fdd09b389152ec1,     //   0.89115,   0.45372
+    0x3fec7e8e52233cf3,     0x3fdd2016e8e9db5b,     //   0.89045,   0.45508
+    0x3fec78d41fe4a267,     0x3fdd3675caebf962,     //   0.88975,   0.45645
+    0x3fec7315899eaad7,     0x3fdd4cd02ba8609c,     //   0.88905,   0.45781
+    0x3fec6d5290341eb2,     0x3fdd632607ac9aa9,     //   0.88835,   0.45918
+    0x3fec678b3488739b,     0x3fdd79775b86e389,     //   0.88764,   0.46054
+    0x3fec61bf777fcc48,     0x3fdd8fc423c62a25,     //   0.88693,    0.4619
+    0x3fec5bef59fef85a,     0x3fdda60c5cfa10d8,     //   0.88622,   0.46326
+    0x3fec561adceb743e,     0x3fddbc5003b2edf8,     //   0.88551,   0.46462
+    0x3fec5042012b6907,     0x3fddd28f1481cc58,     //    0.8848,   0.46598
+    0x3fec4a64c7a5ac4c,     0x3fdde8c98bf86bd6,     //   0.88408,   0.46733
+    0x3fec44833141c004,     0x3fddfeff66a941de,     //   0.88336,   0.46869
+    0x3fec3e9d3ee7d262,     0x3fde1530a12779f4,     //   0.88264,   0.47004
+    0x3fec38b2f180bdb1,     0x3fde2b5d3806f63b,     //   0.88192,    0.4714
+    0x3fec32c449f60831,     0x3fde418527dc4ffa,     //    0.8812,   0.47275
+    0x3fec2cd14931e3f1,     0x3fde57a86d3cd824,     //   0.88047,    0.4741
+    0x3fec26d9f01f2eaf,     0x3fde6dc704be97e2,     //   0.87974,   0.47545
+    0x3fec20de3fa971b0,     0x3fde83e0eaf85113,     //   0.87901,    0.4768
+    0x3fec1ade38bce19b,     0x3fde99f61c817eda,     //   0.87828,   0.47815
+    0x3fec14d9dc465e58,     0x3fdeb00695f25620,     //   0.87755,   0.47949
+    0x3fec0ed12b3372e9,     0x3fdec61253e3c61b,     //   0.87681,   0.48084
+    0x3fec08c426725549,     0x3fdedc1952ef78d5,     //   0.87607,   0.48218
+    0x3fec02b2cef1e641,     0x3fdef21b8fafd3b5,     //   0.87533,   0.48353
+    0x3febfc9d25a1b147,     0x3fdf081906bff7fd,     //   0.87459,   0.48487
+    0x3febf6832b71ec5b,     0x3fdf1e11b4bbc35c,     //   0.87384,   0.48621
+    0x3febf064e15377dd,     0x3fdf3405963fd068,     //   0.87309,   0.48755
+    0x3febea424837de6d,     0x3fdf49f4a7e97729,     //   0.87235,   0.48889
+    0x3febe41b611154c1,     0x3fdf5fdee656cda3,     //    0.8716,   0.49023
+    0x3febddf02cd2b983,     0x3fdf75c44e26a852,     //   0.87084,   0.49156
+    0x3febd7c0ac6f952a,     0x3fdf8ba4dbf89aba,     //   0.87009,    0.4929
+    0x3febd18ce0dc19d6,     0x3fdfa1808c6cf7e0,     //   0.86933,   0.49423
+    0x3febcb54cb0d2327,     0x3fdfb7575c24d2de,     //   0.86857,   0.49557
+    0x3febc5186bf8361d,     0x3fdfcd2947c1ff57,     //   0.86781,    0.4969
+    0x3febbed7c49380ea,     0x3fdfe2f64be7120f,     //   0.86705,   0.49823
+    0x3febb892d5d5dad5,     0x3fdff8be6537615e,     //   0.86628,   0.49956
+    0x3febb249a0b6c40d,     0x3fe00740c82b82e0,     //   0.86551,   0.50089
+    0x3febabfc262e6586,     0x3fe0121fe4f56d2c,     //   0.86474,   0.50221
+    0x3feba5aa673590d2,     0x3fe01cfc874c3eb7,     //   0.86397,   0.50354
+    0x3feb9f5464c5bffc,     0x3fe027d6ad83287e,     //    0.8632,   0.50486
+    0x3feb98fa1fd9155e,     0x3fe032ae55edbd95,     //   0.86242,   0.50619
+    0x3feb929b996a5b7f,     0x3fe03d837edff370,     //   0.86165,   0.50751
+    0x3feb8c38d27504e9,     0x3fe0485626ae221a,     //   0.86087,   0.50883
+    0x3feb85d1cbf52c02,     0x3fe053264bad0483,     //   0.86009,   0.51015
+    0x3feb7f6686e792ea,     0x3fe05df3ec31b8b6,     //    0.8593,   0.51147
+    0x3feb78f70449a34b,     0x3fe068bf0691c028,     //   0.85852,   0.51279
+    0x3feb728345196e3e,     0x3fe073879922ffed,     //   0.85773,    0.5141
+    0x3feb6c0b4a55ac17,     0x3fe07e4da23bc102,     //   0.85694,   0.51542
+    0x3feb658f14fdbc47,     0x3fe089112032b08c,     //   0.85615,   0.51673
+    0x3feb5f0ea611a532,     0x3fe093d2115ee018,     //   0.85535,   0.51804
+    0x3feb5889fe921405,     0x3fe09e907417c5e1,     //   0.85456,   0.51936
+    0x3feb52011f805c92,     0x3fe0a94c46b53d0b,     //   0.85376,   0.52067
+    0x3feb4b7409de7925,     0x3fe0b405878f85ec,     //   0.85296,   0.52198
+    0x3feb44e2beaf0a61,     0x3fe0bebc34ff4646,     //   0.85216,   0.52328
+    0x3feb3e4d3ef55712,     0x3fe0c9704d5d898f,     //   0.85136,   0.52459
+    0x3feb37b38bb54c09,     0x3fe0d421cf03c12b,     //   0.85055,    0.5259
+    0x3feb3115a5f37bf4,     0x3fe0ded0b84bc4b5,     //   0.84974,    0.5272
+    0x3feb2a738eb51f33,     0x3fe0e97d078fd23b,     //   0.84893,    0.5285
+    0x3feb23cd470013b4,     0x3fe0f426bb2a8e7d,     //   0.84812,    0.5298
+    0x3feb1d22cfdadcc6,     0x3fe0fecdd1770537,     //   0.84731,    0.5311
+    0x3feb16742a4ca2f5,     0x3fe1097248d0a956,     //   0.84649,    0.5324
+    0x3feb0fc1575d33db,     0x3fe114141f935545,     //   0.84567,    0.5337
+    0x3feb090a58150200,     0x3fe11eb3541b4b22,     //   0.84485,     0.535
+    0x3feb024f2d7d24a9,     0x3fe1294fe4c5350a,     //   0.84403,   0.53629
+    0x3feafb8fd89f57b6,     0x3fe133e9cfee254e,     //   0.84321,   0.53759
+    0x3feaf4cc5a85fb73,     0x3fe13e8113f396c1,     //   0.84238,   0.53888
+    0x3feaee04b43c1474,     0x3fe14915af336ceb,     //   0.84155,   0.54017
+    0x3feae738e6cd4b67,     0x3fe153a7a00bf453,     //   0.84073,   0.54146
+    0x3feae068f345ecef,     0x3fe15e36e4dbe2bc,     //   0.83989,   0.54275
+    0x3fead994dab2e979,     0x3fe168c37c025764,     //   0.83906,   0.54404
+    0x3fead2bc9e21d511,     0x3fe1734d63dedb49,     //   0.83822,   0.54532
+    0x3feacbe03ea0e73b,     0x3fe17dd49ad16161,     //   0.83739,   0.54661
+    0x3feac4ffbd3efac8,     0x3fe188591f3a46e5,     //   0.83655,   0.54789
+    0x3feabe1b1b0b8dac,     0x3fe192daef7a5386,     //   0.83571,   0.54918
+    0x3feab7325916c0d4,     0x3fe19d5a09f2b9b8,     //   0.83486,   0.55046
+    0x3feab045787157ff,     0x3fe1a7d66d0516e6,     //   0.83402,   0.55174
+    0x3feaa9547a2cb98e,     0x3fe1b250171373be,     //   0.83317,   0.55302
+    0x3feaa25f5f5aee60,     0x3fe1bcc706804467,     //   0.83232,   0.55429
+    0x3fea9b66290ea1a3,     0x3fe1c73b39ae68c8,     //   0.83147,   0.55557
+    0x3fea9468d85b20ae,     0x3fe1d1acaf012cc2,     //   0.83062,   0.55685
+    0x3fea8d676e545ad2,     0x3fe1dc1b64dc4872,     //   0.82976,   0.55812
+    0x3fea8661ec0ee133,     0x3fe1e68759a3e074,     //    0.8289,   0.55939
+    0x3fea7f58529fe69d,     0x3fe1f0f08bbc861b,     //   0.82805,   0.56066
+    0x3fea784aa31d3f55,     0x3fe1fb56f98b37b8,     //   0.82718,   0.56193
+    0x3fea7138de9d60f5,     0x3fe205baa17560d6,     //   0.82632,    0.5632
+    0x3fea6a230637623b,     0x3fe2101b81e0da78,     //   0.82546,   0.56447
+    0x3fea63091b02fae2,     0x3fe21a799933eb58,     //   0.82459,   0.56573
+    0x3fea5beb1e188375,     0x3fe224d4e5d5482e,     //   0.82372,     0.567
+    0x3fea54c91090f524,     0x3fe22f2d662c13e1,     //   0.82285,   0.56826
+    0x3fea4da2f385e997,     0x3fe23983189fdfd5,     //   0.82198,   0.56952
+    0x3fea4678c8119ac8,     0x3fe243d5fb98ac1f,     //    0.8211,   0.57078
+    0x3fea3f4a8f4ee2d2,     0x3fe24e260d7ee7c9,     //   0.82023,   0.57204
+    0x3fea38184a593bc6,     0x3fe258734cbb7110,     //   0.81935,    0.5733
+    0x3fea30e1fa4cbf81,     0x3fe262bdb7b795a2,     //   0.81847,   0.57455
+    0x3fea29a7a0462782,     0x3fe26d054cdd12df,     //   0.81758,   0.57581
+    0x3fea22693d62ccb9,     0x3fe2774a0a961612,     //    0.8167,   0.57706
+    0x3fea1b26d2c0a75e,     0x3fe2818bef4d3cba,     //   0.81581,   0.57831
+    0x3fea13e0617e4ec7,     0x3fe28bcaf96d94ba,     //   0.81493,   0.57956
+    0x3fea0c95eabaf937,     0x3fe2960727629ca8,     //   0.81404,   0.58081
+    0x3fea05476f967bb5,     0x3fe2a040779843fb,     //   0.81314,   0.58206
+    0x3fe9fdf4f13149de,     0x3fe2aa76e87aeb58,     //   0.81225,   0.58331
+    0x3fe9f69e70ac75bc,     0x3fe2b4aa787764c4,     //   0.81135,   0.58455
+    0x3fe9ef43ef29af94,     0x3fe2bedb25faf3ea,     //   0.81046,    0.5858
+    0x3fe9e7e56dcb45bd,     0x3fe2c908ef734e57,     //   0.80956,   0.58704
+    0x3fe9e082edb42472,     0x3fe2d333d34e9bb7,     //   0.80866,   0.58828
+    0x3fe9d91c7007d5a6,     0x3fe2dd5bcffb7616,     //   0.80775,   0.58952
+    0x3fe9d1b1f5ea80d6,     0x3fe2e780e3e8ea16,     //   0.80685,   0.59076
+    0x3fe9ca438080eadb,     0x3fe2f1a30d86773a,     //   0.80594,     0.592
+    0x3fe9c2d110f075c3,     0x3fe2fbc24b441015,     //   0.80503,   0.59323
+    0x3fe9bb5aa85f2098,     0x3fe305de9b921a94,     //   0.80412,   0.59447
+    0x3fe9b3e047f38741,     0x3fe30ff7fce17035,     //   0.80321,    0.5957
+    0x3fe9ac61f0d4e247,     0x3fe31a0e6da35e44,     //   0.80229,   0.59693
+    0x3fe9a4dfa42b06b2,     0x3fe32421ec49a620,     //   0.80138,   0.59816
+    0x3fe99d59631e65d5,     0x3fe32e3277467d6b,     //   0.80046,   0.59939
+    0x3fe995cf2ed80d22,     0x3fe338400d0c8e57,     //   0.79954,   0.60062
+    0x3fe98e410881a600,     0x3fe3424aac0ef7d6,     //   0.79861,   0.60184
+    0x3fe986aef1457594,     0x3fe34c5252c14de1,     //   0.79769,   0.60307
+    0x3fe97f18ea4e5c9e,     0x3fe35656ff9799ae,     //   0.79676,   0.60429
+    0x3fe9777ef4c7d742,     0x3fe36058b10659f3,     //   0.79584,   0.60551
+    0x3fe96fe111ddfce0,     0x3fe36a576582831b,     //   0.79491,   0.60673
+    0x3fe9683f42bd7fe1,     0x3fe374531b817f8d,     //   0.79398,   0.60795
+    0x3fe960998893ad8c,     0x3fe37e4bd1792fe2,     //   0.79304,   0.60917
+    0x3fe958efe48e6dd7,     0x3fe3884185dfeb22,     //   0.79211,   0.61038
+    0x3fe9514257dc4335,     0x3fe39234372c7f04,     //   0.79117,    0.6116
+    0x3fe94990e3ac4a6c,     0x3fe39c23e3d63029,     //   0.79023,   0.61281
+    0x3fe941db892e3a65,     0x3fe3a6108a54ba58,     //   0.78929,   0.61402
+    0x3fe93a22499263fc,     0x3fe3affa292050b9,     //   0.78835,   0.61523
+    0x3fe932652609b1cf,     0x3fe3b9e0beb19e18,     //    0.7874,   0.61644
+    0x3fe92aa41fc5a815,     0x3fe3c3c44981c517,     //   0.78646,   0.61765
+    0x3fe922df37f8646a,     0x3fe3cda4c80a6076,     //   0.78551,   0.61885
+    0x3fe91b166fd49da2,     0x3fe3d78238c58343,     //   0.78456,   0.62006
+    0x3fe91349c88da398,     0x3fe3e15c9a2db922,     //    0.7836,   0.62126
+    0x3fe90b7943575efe,     0x3fe3eb33eabe0680,     //   0.78265,   0.62246
+    0x3fe903a4e1665133,     0x3fe3f50828f1e8d2,     //   0.78169,   0.62366
+    0x3fe8fbcca3ef940d,     0x3fe3fed9534556d4,     //   0.78074,   0.62486
+    0x3fe8f3f08c28d9ac,     0x3fe408a76834c0c0,     //   0.77978,   0.62606
+    0x3fe8ec109b486c49,     0x3fe41272663d108c,     //   0.77882,   0.62725
+    0x3fe8e42cd2852e0a,     0x3fe41c3a4bdbaa26,     //   0.77785,   0.62845
+    0x3fe8dc45331698cc,     0x3fe425ff178e6bb1,     //   0.77689,   0.62964
+    0x3fe8d459be34bdfa,     0x3fe42fc0c7d3adbb,     //   0.77592,   0.63083
+    0x3fe8cc6a75184655,     0x3fe4397f5b2a4380,     //   0.77495,   0.63202
+    0x3fe8c47758fa71cb,     0x3fe4433ad0117b1d,     //   0.77398,   0.63321
+    0x3fe8bc806b151741,     0x3fe44cf325091dd6,     //   0.77301,   0.63439
+    0x3fe8b485aca2a468,     0x3fe456a858917046,     //   0.77204,   0.63558
+    0x3fe8ac871ede1d88,     0x3fe4605a692b32a2,     //   0.77106,   0.63676
+    0x3fe8a484c3031d50,     0x3fe46a095557a0f1,     //   0.77008,   0.63794
+    0x3fe89c7e9a4dd4ab,     0x3fe473b51b987347,     //    0.7691,   0.63912
+    0x3fe89474a5fb0a84,     0x3fe47d5dba6fde01,     //   0.76812,    0.6403
+    0x3fe88c66e7481ba1,     0x3fe48703306091fe,     //   0.76714,   0.64148
+    0x3fe884555f72fa6b,     0x3fe490a57bedbcdf,     //   0.76615,   0.64266
+    0x3fe87c400fba2ebf,     0x3fe49a449b9b0938,     //   0.76517,   0.64383
+    0x3fe87426f95cd5bd,     0x3fe4a3e08dec9ed6,     //   0.76418,     0.645
+    0x3fe86c0a1d9aa195,     0x3fe4ad79516722f0,     //   0.76319,   0.64618
+    0x3fe863e97db3d95a,     0x3fe4b70ee48fb869,     //    0.7622,   0.64735
+    0x3fe85bc51ae958cc,     0x3fe4c0a145ec0004,     //    0.7612,   0.64851
+    0x3fe8539cf67c9029,     0x3fe4ca30740218a3,     //   0.76021,   0.64968
+    0x3fe84b7111af83f9,     0x3fe4d3bc6d589f80,     //   0.75921,   0.65085
+    0x3fe843416dc4cce2,     0x3fe4dd453076b064,     //   0.75821,   0.65201
+    0x3fe83b0e0bff976e,     0x3fe4e6cabbe3e5e9,     //   0.75721,   0.65317
+    0x3fe832d6eda3a3e0,     0x3fe4f04d0e2859aa,     //   0.75621,   0.65433
+    0x3fe82a9c13f545ff,     0x3fe4f9cc25cca486,     //    0.7552,   0.65549
+    0x3fe8225d803964e5,     0x3fe503480159ded2,     //   0.75419,   0.65665
+    0x3fe81a1b33b57acc,     0x3fe50cc09f59a09b,     //   0.75319,   0.65781
+    0x3fe811d52faf94dc,     0x3fe51635fe5601d7,     //   0.75218,   0.65896
+    0x3fe8098b756e52fa,     0x3fe51fa81cd99aa6,     //   0.75117,   0.66011
+    0x3fe8013e0638e795,     0x3fe52916f96f8388,     //   0.75015,   0.66127
+    0x3fe7f8ece3571771,     0x3fe5328292a35596,     //   0.74914,   0.66242
+    0x3fe7f0980e113978,     0x3fe53beae7012abe,     //   0.74812,   0.66356
+    0x3fe7e83f87b03686,     0x3fe5454ff5159dfb,     //    0.7471,   0.66471
+    0x3fe7dfe3517d8937,     0x3fe54eb1bb6dcb8f,     //   0.74608,   0.66586
+    0x3fe7d7836cc33db2,     0x3fe5581038975137,     //   0.74506,     0.667
+    0x3fe7cf1fdacbf179,     0x3fe5616b6b204e6e,     //   0.74403,   0.66814
+    0x3fe7c6b89ce2d333,     0x3fe56ac35197649e,     //   0.74301,   0.66928
+    0x3fe7be4db453a27c,     0x3fe57417ea8bb75c,     //   0.74198,   0.67042
+    0x3fe7b5df226aafb0,     0x3fe57d69348cec9f,     //   0.74095,   0.67156
+    0x3fe7ad6ce874dbb6,     0x3fe586b72e2b2cfd,     //   0.73992,   0.67269
+    0x3fe7a4f707bf97d2,     0x3fe59001d5f723df,     //   0.73889,   0.67383
+    0x3fe79c7d8198e56e,     0x3fe599492a81ffbc,     //   0.73785,   0.67496
+    0x3fe79400574f55e4,     0x3fe5a28d2a5d7250,     //   0.73682,   0.67609
+    0x3fe78b7f8a320a52,     0x3fe5abcdd41bb0d8,     //   0.73578,   0.67722
+    0x3fe782fb1b90b35b,     0x3fe5b50b264f7448,     //   0.73474,   0.67835
+    0x3fe77a730cbb9100,     0x3fe5be451f8bf980,     //    0.7337,   0.67948
+    0x3fe771e75f037261,     0x3fe5c77bbe65018c,     //   0.73265,    0.6806
+    0x3fe7695813b9b594,     0x3fe5d0af016ed1d4,     //   0.73161,   0.68172
+    0x3fe760c52c304764,     0x3fe5d9dee73e345c,     //   0.73056,   0.68285
+    0x3fe7582ea9b9a329,     0x3fe5e30b6e6877f3,     //   0.72951,   0.68397
+    0x3fe74f948da8d28d,     0x3fe5ec3495837074,     //   0.72846,   0.68508
+    0x3fe746f6d9516d59,     0x3fe5f55a5b2576f8,     //   0.72741,    0.6862
+    0x3fe73e558e079942,     0x3fe5fe7cbde56a0f,     //   0.72636,   0.68732
+    0x3fe735b0ad2009b2,     0x3fe6079bbc5aadfa,     //    0.7253,   0.68843
+    0x3fe72d0837efff97,     0x3fe610b7551d2cde,     //   0.72425,   0.68954
+    0x3fe7245c2fcd492a,     0x3fe619cf86c55702,     //   0.72319,   0.69065
+    0x3fe71bac960e41bf,     0x3fe622e44fec22ff,     //   0.72213,   0.69176
+    0x3fe712f96c09d18d,     0x3fe62bf5af2b0dfd,     //   0.72107,   0.69287
+    0x3fe70a42b3176d7a,     0x3fe63503a31c1be8,     //      0.72,   0.69397
+    0x3fe701886c8f16e6,     0x3fe63e0e2a59d7aa,     //   0.71894,   0.69508
+    0x3fe6f8ca99c95b75,     0x3fe64715437f535b,     //   0.71787,   0.69618
+    0x3fe6f0093c1f54de,     0x3fe65018ed28287f,     //    0.7168,   0.69728
+    0x3fe6e74454eaa8ae,     0x3fe6591925f0783e,     //   0.71573,   0.69838
+    0x3fe6de7be585881d,     0x3fe66215ec74eb91,     //   0.71466,   0.69947
+    0x3fe6d5afef4aafcc,     0x3fe66b0f3f52b386,     //   0.71358,   0.70057
+    0x3fe6cce07395679f,     0x3fe674051d27896c,     //   0.71251,   0.70166
+    0x3fe6c40d73c18275,     0x3fe67cf78491af10,     //   0.71143,   0.70275
+    0x3fe6bb36f12b5e06,     0x3fe685e6742feeef,     //   0.71035,   0.70385
+    0x3fe6b25ced2fe29c,     0x3fe68ed1eaa19c71,     //   0.70927,   0.70493
+    0x3fe6a97f692c82ea,     0x3fe697b9e686941c,     //   0.70819,   0.70602
+    0x3fe6a09e667f3bcc,     0x3fe6a09e667f3bcc,     //   0.70711,   0.70711
+    0x3fe697b9e686941c,     0x3fe6a97f692c82ea,     //   0.70602,   0.70819
+    0x3fe68ed1eaa19c71,     0x3fe6b25ced2fe29c,     //   0.70493,   0.70927
+    0x3fe685e6742feeef,     0x3fe6bb36f12b5e06,     //   0.70385,   0.71035
+    0x3fe67cf78491af10,     0x3fe6c40d73c18275,     //   0.70275,   0.71143
+    0x3fe674051d27896c,     0x3fe6cce07395679f,     //   0.70166,   0.71251
+    0x3fe66b0f3f52b386,     0x3fe6d5afef4aafcc,     //   0.70057,   0.71358
+    0x3fe66215ec74eb91,     0x3fe6de7be585881d,     //   0.69947,   0.71466
+    0x3fe6591925f0783e,     0x3fe6e74454eaa8ae,     //   0.69838,   0.71573
+    0x3fe65018ed28287f,     0x3fe6f0093c1f54de,     //   0.69728,    0.7168
+    0x3fe64715437f535b,     0x3fe6f8ca99c95b75,     //   0.69618,   0.71787
+    0x3fe63e0e2a59d7aa,     0x3fe701886c8f16e6,     //   0.69508,   0.71894
+    0x3fe63503a31c1be8,     0x3fe70a42b3176d7a,     //   0.69397,      0.72
+    0x3fe62bf5af2b0dfd,     0x3fe712f96c09d18d,     //   0.69287,   0.72107
+    0x3fe622e44fec22ff,     0x3fe71bac960e41bf,     //   0.69176,   0.72213
+    0x3fe619cf86c55702,     0x3fe7245c2fcd492a,     //   0.69065,   0.72319
+    0x3fe610b7551d2cde,     0x3fe72d0837efff97,     //   0.68954,   0.72425
+    0x3fe6079bbc5aadfa,     0x3fe735b0ad2009b2,     //   0.68843,    0.7253
+    0x3fe5fe7cbde56a0f,     0x3fe73e558e079942,     //   0.68732,   0.72636
+    0x3fe5f55a5b2576f8,     0x3fe746f6d9516d59,     //    0.6862,   0.72741
+    0x3fe5ec3495837074,     0x3fe74f948da8d28d,     //   0.68508,   0.72846
+    0x3fe5e30b6e6877f3,     0x3fe7582ea9b9a329,     //   0.68397,   0.72951
+    0x3fe5d9dee73e345c,     0x3fe760c52c304764,     //   0.68285,   0.73056
+    0x3fe5d0af016ed1d4,     0x3fe7695813b9b594,     //   0.68172,   0.73161
+    0x3fe5c77bbe65018c,     0x3fe771e75f037261,     //    0.6806,   0.73265
+    0x3fe5be451f8bf980,     0x3fe77a730cbb9100,     //   0.67948,    0.7337
+    0x3fe5b50b264f7448,     0x3fe782fb1b90b35b,     //   0.67835,   0.73474
+    0x3fe5abcdd41bb0d8,     0x3fe78b7f8a320a52,     //   0.67722,   0.73578
+    0x3fe5a28d2a5d7250,     0x3fe79400574f55e4,     //   0.67609,   0.73682
+    0x3fe599492a81ffbc,     0x3fe79c7d8198e56e,     //   0.67496,   0.73785
+    0x3fe59001d5f723df,     0x3fe7a4f707bf97d2,     //   0.67383,   0.73889
+    0x3fe586b72e2b2cfd,     0x3fe7ad6ce874dbb6,     //   0.67269,   0.73992
+    0x3fe57d69348cec9f,     0x3fe7b5df226aafb0,     //   0.67156,   0.74095
+    0x3fe57417ea8bb75c,     0x3fe7be4db453a27c,     //   0.67042,   0.74198
+    0x3fe56ac35197649e,     0x3fe7c6b89ce2d333,     //   0.66928,   0.74301
+    0x3fe5616b6b204e6e,     0x3fe7cf1fdacbf179,     //   0.66814,   0.74403
+    0x3fe5581038975137,     0x3fe7d7836cc33db2,     //     0.667,   0.74506
+    0x3fe54eb1bb6dcb8f,     0x3fe7dfe3517d8937,     //   0.66586,   0.74608
+    0x3fe5454ff5159dfb,     0x3fe7e83f87b03686,     //   0.66471,    0.7471
+    0x3fe53beae7012abe,     0x3fe7f0980e113978,     //   0.66356,   0.74812
+    0x3fe5328292a35596,     0x3fe7f8ece3571771,     //   0.66242,   0.74914
+    0x3fe52916f96f8388,     0x3fe8013e0638e795,     //   0.66127,   0.75015
+    0x3fe51fa81cd99aa6,     0x3fe8098b756e52fa,     //   0.66011,   0.75117
+    0x3fe51635fe5601d7,     0x3fe811d52faf94dc,     //   0.65896,   0.75218
+    0x3fe50cc09f59a09b,     0x3fe81a1b33b57acc,     //   0.65781,   0.75319
+    0x3fe503480159ded2,     0x3fe8225d803964e5,     //   0.65665,   0.75419
+    0x3fe4f9cc25cca486,     0x3fe82a9c13f545ff,     //   0.65549,    0.7552
+    0x3fe4f04d0e2859aa,     0x3fe832d6eda3a3e0,     //   0.65433,   0.75621
+    0x3fe4e6cabbe3e5e9,     0x3fe83b0e0bff976e,     //   0.65317,   0.75721
+    0x3fe4dd453076b064,     0x3fe843416dc4cce2,     //   0.65201,   0.75821
+    0x3fe4d3bc6d589f80,     0x3fe84b7111af83f9,     //   0.65085,   0.75921
+    0x3fe4ca30740218a3,     0x3fe8539cf67c9029,     //   0.64968,   0.76021
+    0x3fe4c0a145ec0004,     0x3fe85bc51ae958cc,     //   0.64851,    0.7612
+    0x3fe4b70ee48fb869,     0x3fe863e97db3d95a,     //   0.64735,    0.7622
+    0x3fe4ad79516722f0,     0x3fe86c0a1d9aa195,     //   0.64618,   0.76319
+    0x3fe4a3e08dec9ed6,     0x3fe87426f95cd5bd,     //     0.645,   0.76418
+    0x3fe49a449b9b0938,     0x3fe87c400fba2ebf,     //   0.64383,   0.76517
+    0x3fe490a57bedbcdf,     0x3fe884555f72fa6b,     //   0.64266,   0.76615
+    0x3fe48703306091fe,     0x3fe88c66e7481ba1,     //   0.64148,   0.76714
+    0x3fe47d5dba6fde01,     0x3fe89474a5fb0a84,     //    0.6403,   0.76812
+    0x3fe473b51b987347,     0x3fe89c7e9a4dd4ab,     //   0.63912,    0.7691
+    0x3fe46a095557a0f1,     0x3fe8a484c3031d50,     //   0.63794,   0.77008
+    0x3fe4605a692b32a2,     0x3fe8ac871ede1d88,     //   0.63676,   0.77106
+    0x3fe456a858917046,     0x3fe8b485aca2a468,     //   0.63558,   0.77204
+    0x3fe44cf325091dd6,     0x3fe8bc806b151741,     //   0.63439,   0.77301
+    0x3fe4433ad0117b1d,     0x3fe8c47758fa71cb,     //   0.63321,   0.77398
+    0x3fe4397f5b2a4380,     0x3fe8cc6a75184655,     //   0.63202,   0.77495
+    0x3fe42fc0c7d3adbb,     0x3fe8d459be34bdfa,     //   0.63083,   0.77592
+    0x3fe425ff178e6bb1,     0x3fe8dc45331698cc,     //   0.62964,   0.77689
+    0x3fe41c3a4bdbaa26,     0x3fe8e42cd2852e0a,     //   0.62845,   0.77785
+    0x3fe41272663d108c,     0x3fe8ec109b486c49,     //   0.62725,   0.77882
+    0x3fe408a76834c0c0,     0x3fe8f3f08c28d9ac,     //   0.62606,   0.77978
+    0x3fe3fed9534556d4,     0x3fe8fbcca3ef940d,     //   0.62486,   0.78074
+    0x3fe3f50828f1e8d2,     0x3fe903a4e1665133,     //   0.62366,   0.78169
+    0x3fe3eb33eabe0680,     0x3fe90b7943575efe,     //   0.62246,   0.78265
+    0x3fe3e15c9a2db922,     0x3fe91349c88da398,     //   0.62126,    0.7836
+    0x3fe3d78238c58343,     0x3fe91b166fd49da2,     //   0.62006,   0.78456
+    0x3fe3cda4c80a6076,     0x3fe922df37f8646a,     //   0.61885,   0.78551
+    0x3fe3c3c44981c517,     0x3fe92aa41fc5a815,     //   0.61765,   0.78646
+    0x3fe3b9e0beb19e18,     0x3fe932652609b1cf,     //   0.61644,    0.7874
+    0x3fe3affa292050b9,     0x3fe93a22499263fc,     //   0.61523,   0.78835
+    0x3fe3a6108a54ba58,     0x3fe941db892e3a65,     //   0.61402,   0.78929
+    0x3fe39c23e3d63029,     0x3fe94990e3ac4a6c,     //   0.61281,   0.79023
+    0x3fe39234372c7f04,     0x3fe9514257dc4335,     //    0.6116,   0.79117
+    0x3fe3884185dfeb22,     0x3fe958efe48e6dd7,     //   0.61038,   0.79211
+    0x3fe37e4bd1792fe2,     0x3fe960998893ad8c,     //   0.60917,   0.79304
+    0x3fe374531b817f8d,     0x3fe9683f42bd7fe1,     //   0.60795,   0.79398
+    0x3fe36a576582831b,     0x3fe96fe111ddfce0,     //   0.60673,   0.79491
+    0x3fe36058b10659f3,     0x3fe9777ef4c7d742,     //   0.60551,   0.79584
+    0x3fe35656ff9799ae,     0x3fe97f18ea4e5c9e,     //   0.60429,   0.79676
+    0x3fe34c5252c14de1,     0x3fe986aef1457594,     //   0.60307,   0.79769
+    0x3fe3424aac0ef7d6,     0x3fe98e410881a600,     //   0.60184,   0.79861
+    0x3fe338400d0c8e57,     0x3fe995cf2ed80d22,     //   0.60062,   0.79954
+    0x3fe32e3277467d6b,     0x3fe99d59631e65d5,     //   0.59939,   0.80046
+    0x3fe32421ec49a620,     0x3fe9a4dfa42b06b2,     //   0.59816,   0.80138
+    0x3fe31a0e6da35e44,     0x3fe9ac61f0d4e247,     //   0.59693,   0.80229
+    0x3fe30ff7fce17035,     0x3fe9b3e047f38741,     //    0.5957,   0.80321
+    0x3fe305de9b921a94,     0x3fe9bb5aa85f2098,     //   0.59447,   0.80412
+    0x3fe2fbc24b441015,     0x3fe9c2d110f075c3,     //   0.59323,   0.80503
+    0x3fe2f1a30d86773a,     0x3fe9ca438080eadb,     //     0.592,   0.80594
+    0x3fe2e780e3e8ea16,     0x3fe9d1b1f5ea80d6,     //   0.59076,   0.80685
+    0x3fe2dd5bcffb7616,     0x3fe9d91c7007d5a6,     //   0.58952,   0.80775
+    0x3fe2d333d34e9bb7,     0x3fe9e082edb42472,     //   0.58828,   0.80866
+    0x3fe2c908ef734e57,     0x3fe9e7e56dcb45bd,     //   0.58704,   0.80956
+    0x3fe2bedb25faf3ea,     0x3fe9ef43ef29af94,     //    0.5858,   0.81046
+    0x3fe2b4aa787764c4,     0x3fe9f69e70ac75bc,     //   0.58455,   0.81135
+    0x3fe2aa76e87aeb58,     0x3fe9fdf4f13149de,     //   0.58331,   0.81225
+    0x3fe2a040779843fb,     0x3fea05476f967bb5,     //   0.58206,   0.81314
+    0x3fe2960727629ca8,     0x3fea0c95eabaf937,     //   0.58081,   0.81404
+    0x3fe28bcaf96d94ba,     0x3fea13e0617e4ec7,     //   0.57956,   0.81493
+    0x3fe2818bef4d3cba,     0x3fea1b26d2c0a75e,     //   0.57831,   0.81581
+    0x3fe2774a0a961612,     0x3fea22693d62ccb9,     //   0.57706,    0.8167
+    0x3fe26d054cdd12df,     0x3fea29a7a0462782,     //   0.57581,   0.81758
+    0x3fe262bdb7b795a2,     0x3fea30e1fa4cbf81,     //   0.57455,   0.81847
+    0x3fe258734cbb7110,     0x3fea38184a593bc6,     //    0.5733,   0.81935
+    0x3fe24e260d7ee7c9,     0x3fea3f4a8f4ee2d2,     //   0.57204,   0.82023
+    0x3fe243d5fb98ac1f,     0x3fea4678c8119ac8,     //   0.57078,    0.8211
+    0x3fe23983189fdfd5,     0x3fea4da2f385e997,     //   0.56952,   0.82198
+    0x3fe22f2d662c13e1,     0x3fea54c91090f524,     //   0.56826,   0.82285
+    0x3fe224d4e5d5482e,     0x3fea5beb1e188375,     //     0.567,   0.82372
+    0x3fe21a799933eb58,     0x3fea63091b02fae2,     //   0.56573,   0.82459
+    0x3fe2101b81e0da78,     0x3fea6a230637623b,     //   0.56447,   0.82546
+    0x3fe205baa17560d6,     0x3fea7138de9d60f5,     //    0.5632,   0.82632
+    0x3fe1fb56f98b37b8,     0x3fea784aa31d3f55,     //   0.56193,   0.82718
+    0x3fe1f0f08bbc861b,     0x3fea7f58529fe69d,     //   0.56066,   0.82805
+    0x3fe1e68759a3e074,     0x3fea8661ec0ee133,     //   0.55939,    0.8289
+    0x3fe1dc1b64dc4872,     0x3fea8d676e545ad2,     //   0.55812,   0.82976
+    0x3fe1d1acaf012cc2,     0x3fea9468d85b20ae,     //   0.55685,   0.83062
+    0x3fe1c73b39ae68c8,     0x3fea9b66290ea1a3,     //   0.55557,   0.83147
+    0x3fe1bcc706804467,     0x3feaa25f5f5aee60,     //   0.55429,   0.83232
+    0x3fe1b250171373be,     0x3feaa9547a2cb98e,     //   0.55302,   0.83317
+    0x3fe1a7d66d0516e6,     0x3feab045787157ff,     //   0.55174,   0.83402
+    0x3fe19d5a09f2b9b8,     0x3feab7325916c0d4,     //   0.55046,   0.83486
+    0x3fe192daef7a5386,     0x3feabe1b1b0b8dac,     //   0.54918,   0.83571
+    0x3fe188591f3a46e5,     0x3feac4ffbd3efac8,     //   0.54789,   0.83655
+    0x3fe17dd49ad16161,     0x3feacbe03ea0e73b,     //   0.54661,   0.83739
+    0x3fe1734d63dedb49,     0x3fead2bc9e21d511,     //   0.54532,   0.83822
+    0x3fe168c37c025764,     0x3fead994dab2e979,     //   0.54404,   0.83906
+    0x3fe15e36e4dbe2bc,     0x3feae068f345ecef,     //   0.54275,   0.83989
+    0x3fe153a7a00bf453,     0x3feae738e6cd4b67,     //   0.54146,   0.84073
+    0x3fe14915af336ceb,     0x3feaee04b43c1474,     //   0.54017,   0.84155
+    0x3fe13e8113f396c1,     0x3feaf4cc5a85fb73,     //   0.53888,   0.84238
+    0x3fe133e9cfee254e,     0x3feafb8fd89f57b6,     //   0.53759,   0.84321
+    0x3fe1294fe4c5350a,     0x3feb024f2d7d24a9,     //   0.53629,   0.84403
+    0x3fe11eb3541b4b22,     0x3feb090a58150200,     //     0.535,   0.84485
+    0x3fe114141f935545,     0x3feb0fc1575d33db,     //    0.5337,   0.84567
+    0x3fe1097248d0a956,     0x3feb16742a4ca2f5,     //    0.5324,   0.84649
+    0x3fe0fecdd1770537,     0x3feb1d22cfdadcc6,     //    0.5311,   0.84731
+    0x3fe0f426bb2a8e7d,     0x3feb23cd470013b4,     //    0.5298,   0.84812
+    0x3fe0e97d078fd23b,     0x3feb2a738eb51f33,     //    0.5285,   0.84893
+    0x3fe0ded0b84bc4b5,     0x3feb3115a5f37bf4,     //    0.5272,   0.84974
+    0x3fe0d421cf03c12b,     0x3feb37b38bb54c09,     //    0.5259,   0.85055
+    0x3fe0c9704d5d898f,     0x3feb3e4d3ef55712,     //   0.52459,   0.85136
+    0x3fe0bebc34ff4646,     0x3feb44e2beaf0a61,     //   0.52328,   0.85216
+    0x3fe0b405878f85ec,     0x3feb4b7409de7925,     //   0.52198,   0.85296
+    0x3fe0a94c46b53d0b,     0x3feb52011f805c92,     //   0.52067,   0.85376
+    0x3fe09e907417c5e1,     0x3feb5889fe921405,     //   0.51936,   0.85456
+    0x3fe093d2115ee018,     0x3feb5f0ea611a532,     //   0.51804,   0.85535
+    0x3fe089112032b08c,     0x3feb658f14fdbc47,     //   0.51673,   0.85615
+    0x3fe07e4da23bc102,     0x3feb6c0b4a55ac17,     //   0.51542,   0.85694
+    0x3fe073879922ffed,     0x3feb728345196e3e,     //    0.5141,   0.85773
+    0x3fe068bf0691c028,     0x3feb78f70449a34b,     //   0.51279,   0.85852
+    0x3fe05df3ec31b8b6,     0x3feb7f6686e792ea,     //   0.51147,    0.8593
+    0x3fe053264bad0483,     0x3feb85d1cbf52c02,     //   0.51015,   0.86009
+    0x3fe0485626ae221a,     0x3feb8c38d27504e9,     //   0.50883,   0.86087
+    0x3fe03d837edff370,     0x3feb929b996a5b7f,     //   0.50751,   0.86165
+    0x3fe032ae55edbd95,     0x3feb98fa1fd9155e,     //   0.50619,   0.86242
+    0x3fe027d6ad83287e,     0x3feb9f5464c5bffc,     //   0.50486,    0.8632
+    0x3fe01cfc874c3eb7,     0x3feba5aa673590d2,     //   0.50354,   0.86397
+    0x3fe0121fe4f56d2c,     0x3febabfc262e6586,     //   0.50221,   0.86474
+    0x3fe00740c82b82e0,     0x3febb249a0b6c40d,     //   0.50089,   0.86551
+    0x3fdff8be6537615e,     0x3febb892d5d5dad5,     //   0.49956,   0.86628
+    0x3fdfe2f64be7120f,     0x3febbed7c49380ea,     //   0.49823,   0.86705
+    0x3fdfcd2947c1ff57,     0x3febc5186bf8361d,     //    0.4969,   0.86781
+    0x3fdfb7575c24d2de,     0x3febcb54cb0d2327,     //   0.49557,   0.86857
+    0x3fdfa1808c6cf7e0,     0x3febd18ce0dc19d6,     //   0.49423,   0.86933
+    0x3fdf8ba4dbf89aba,     0x3febd7c0ac6f952a,     //    0.4929,   0.87009
+    0x3fdf75c44e26a852,     0x3febddf02cd2b983,     //   0.49156,   0.87084
+    0x3fdf5fdee656cda3,     0x3febe41b611154c1,     //   0.49023,    0.8716
+    0x3fdf49f4a7e97729,     0x3febea424837de6d,     //   0.48889,   0.87235
+    0x3fdf3405963fd068,     0x3febf064e15377dd,     //   0.48755,   0.87309
+    0x3fdf1e11b4bbc35c,     0x3febf6832b71ec5b,     //   0.48621,   0.87384
+    0x3fdf081906bff7fd,     0x3febfc9d25a1b147,     //   0.48487,   0.87459
+    0x3fdef21b8fafd3b5,     0x3fec02b2cef1e641,     //   0.48353,   0.87533
+    0x3fdedc1952ef78d5,     0x3fec08c426725549,     //   0.48218,   0.87607
+    0x3fdec61253e3c61b,     0x3fec0ed12b3372e9,     //   0.48084,   0.87681
+    0x3fdeb00695f25620,     0x3fec14d9dc465e58,     //   0.47949,   0.87755
+    0x3fde99f61c817eda,     0x3fec1ade38bce19b,     //   0.47815,   0.87828
+    0x3fde83e0eaf85113,     0x3fec20de3fa971b0,     //    0.4768,   0.87901
+    0x3fde6dc704be97e2,     0x3fec26d9f01f2eaf,     //   0.47545,   0.87974
+    0x3fde57a86d3cd824,     0x3fec2cd14931e3f1,     //    0.4741,   0.88047
+    0x3fde418527dc4ffa,     0x3fec32c449f60831,     //   0.47275,    0.8812
+    0x3fde2b5d3806f63b,     0x3fec38b2f180bdb1,     //    0.4714,   0.88192
+    0x3fde1530a12779f4,     0x3fec3e9d3ee7d262,     //   0.47004,   0.88264
+    0x3fddfeff66a941de,     0x3fec44833141c004,     //   0.46869,   0.88336
+    0x3fdde8c98bf86bd6,     0x3fec4a64c7a5ac4c,     //   0.46733,   0.88408
+    0x3fddd28f1481cc58,     0x3fec5042012b6907,     //   0.46598,    0.8848
+    0x3fddbc5003b2edf8,     0x3fec561adceb743e,     //   0.46462,   0.88551
+    0x3fdda60c5cfa10d8,     0x3fec5bef59fef85a,     //   0.46326,   0.88622
+    0x3fdd8fc423c62a25,     0x3fec61bf777fcc48,     //    0.4619,   0.88693
+    0x3fdd79775b86e389,     0x3fec678b3488739b,     //   0.46054,   0.88764
+    0x3fdd632607ac9aa9,     0x3fec6d5290341eb2,     //   0.45918,   0.88835
+    0x3fdd4cd02ba8609c,     0x3fec7315899eaad7,     //   0.45781,   0.88905
+    0x3fdd3675caebf962,     0x3fec78d41fe4a267,     //   0.45645,   0.88975
+    0x3fdd2016e8e9db5b,     0x3fec7e8e52233cf3,     //   0.45508,   0.89045
+    0x3fdd09b389152ec1,     0x3fec84441f785f61,     //   0.45372,   0.89115
+    0x3fdcf34baee1cd21,     0x3fec89f587029c13,     //   0.45235,   0.89184
+    0x3fdcdcdf5dc440ce,     0x3fec8fa287e13305,     //   0.45098,   0.89253
+    0x3fdcc66e9931c45d,     0x3fec954b213411f5,     //   0.44961,   0.89322
+    0x3fdcaff964a0421d,     0x3fec9aef521bd480,     //   0.44824,   0.89391
+    0x3fdc997fc3865388,     0x3feca08f19b9c449,     //   0.44687,    0.8946
+    0x3fdc8301b95b40c2,     0x3feca62a772fd919,     //    0.4455,   0.89528
+    0x3fdc6c7f4997000a,     0x3fecabc169a0b901,     //   0.44412,   0.89597
+    0x3fdc55f877b23537,     0x3fecb153f02fb87d,     //   0.44275,   0.89665
+    0x3fdc3f6d47263129,     0x3fecb6e20a00da99,     //   0.44137,   0.89732
+    0x3fdc28ddbb6cf145,     0x3fecbc6bb638d10b,     //   0.43999,     0.898
+    0x3fdc1249d8011ee7,     0x3fecc1f0f3fcfc5c,     //   0.43862,   0.89867
+    0x3fdbfbb1a05e0edc,     0x3fecc771c2736c09,     //   0.43724,   0.89935
+    0x3fdbe51517ffc0d9,     0x3fecccee20c2de9f,     //   0.43586,   0.90002
+    0x3fdbce744262deee,     0x3fecd2660e12c1e6,     //   0.43448,   0.90068
+    0x3fdbb7cf2304bd01,     0x3fecd7d9898b32f6,     //   0.43309,   0.90135
+    0x3fdba125bd63583e,     0x3fecdd489254fe65,     //   0.43171,   0.90201
+    0x3fdb8a7814fd5693,     0x3fece2b32799a060,     //   0.43033,   0.90267
+    0x3fdb73c62d520624,     0x3fece819488344ce,     //   0.42894,   0.90333
+    0x3fdb5d1009e15cc0,     0x3feced7af43cc773,     //   0.42756,   0.90399
+    0x3fdb4655ae2bf757,     0x3fecf2d829f1b40e,     //   0.42617,   0.90464
+    0x3fdb2f971db31972,     0x3fecf830e8ce467b,     //   0.42478,    0.9053
+    0x3fdb18d45bf8aca6,     0x3fecfd852fff6ad4,     //   0.42339,   0.90595
+    0x3fdb020d6c7f4009,     0x3fed02d4feb2bd92,     //     0.422,    0.9066
+    0x3fdaeb4252ca07ab,     0x3fed082054168bac,     //   0.42061,   0.90724
+    0x3fdad473125cdc08,     0x3fed0d672f59d2b9,     //   0.41922,   0.90789
+    0x3fdabd9faebc3980,     0x3fed12a98fac410c,     //   0.41782,   0.90853
+    0x3fdaa6c82b6d3fc9,     0x3fed17e7743e35dc,     //   0.41643,   0.90917
+    0x3fda8fec8bf5b166,     0x3fed1d20dc40c15c,     //   0.41503,   0.90981
+    0x3fda790cd3dbf31a,     0x3fed2255c6e5a4e1,     //   0.41364,   0.91044
+    0x3fda622906a70b63,     0x3fed2786335f52fc,     //   0.41224,   0.91107
+    0x3fda4b4127dea1e4,     0x3fed2cb220e0ef9f,     //   0.41084,   0.91171
+    0x3fda34553b0afee5,     0x3fed31d98e9e503a,     //   0.40944,   0.91234
+    0x3fda1d6543b50ac0,     0x3fed36fc7bcbfbdc,     //   0.40804,   0.91296
+    0x3fda067145664d57,     0x3fed3c1ae79f2b4e,     //   0.40664,   0.91359
+    0x3fd9ef7943a8ed8a,     0x3fed4134d14dc93a,     //   0.40524,   0.91421
+    0x3fd9d87d4207b0ab,     0x3fed464a380e7242,     //   0.40384,   0.91483
+    0x3fd9c17d440df9f2,     0x3fed4b5b1b187524,     //   0.40243,   0.91545
+    0x3fd9aa794d47c9ee,     0x3fed506779a3d2d9,     //   0.40103,   0.91606
+    0x3fd993716141bdfe,     0x3fed556f52e93eb1,     //   0.39962,   0.91668
+    0x3fd97c6583890fc2,     0x3fed5a72a6221e73,     //   0.39822,   0.91729
+    0x3fd96555b7ab948f,     0x3fed5f7172888a7f,     //   0.39681,    0.9179
+    0x3fd94e420137bce3,     0x3fed646bb7574de5,     //    0.3954,   0.91851
+    0x3fd9372a63bc93d7,     0x3fed696173c9e68b,     //   0.39399,   0.91911
+    0x3fd9200ee2c9be97,     0x3fed6e52a71c8547,     //   0.39258,   0.91972
+    0x3fd908ef81ef7bd1,     0x3fed733f508c0dff,     //   0.39117,   0.92032
+    0x3fd8f1cc44bea329,     0x3fed78276f5617c6,     //   0.38976,   0.92092
+    0x3fd8daa52ec8a4af,     0x3fed7d0b02b8ecf9,     //   0.38835,   0.92151
+    0x3fd8c37a439f884f,     0x3fed81ea09f38b63,     //   0.38693,   0.92211
+    0x3fd8ac4b86d5ed44,     0x3fed86c48445a450,     //   0.38552,    0.9227
+    0x3fd89518fbff098e,     0x3fed8b9a70ef9cb4,     //    0.3841,   0.92329
+    0x3fd87de2a6aea963,     0x3fed906bcf328d46,     //   0.38268,   0.92388
+    0x3fd866a88a792ea0,     0x3fed95389e50429b,     //   0.38127,   0.92447
+    0x3fd84f6aaaf3903f,     0x3fed9a00dd8b3d46,     //   0.37985,   0.92505
+    0x3fd838290bb359c8,     0x3fed9ec48c26b1f3,     //   0.37843,   0.92563
+    0x3fd820e3b04eaac4,     0x3feda383a9668988,     //   0.37701,   0.92621
+    0x3fd8099a9c5c362d,     0x3feda83e348f613b,     //   0.37559,   0.92679
+    0x3fd7f24dd37341e3,     0x3fedacf42ce68ab9,     //   0.37416,   0.92736
+    0x3fd7dafd592ba621,     0x3fedb1a591b20c38,     //   0.37274,   0.92794
+    0x3fd7c3a9311dcce7,     0x3fedb6526238a09b,     //   0.37132,   0.92851
+    0x3fd7ac515ee2b172,     0x3fedbafa9dc1b78d,     //   0.36989,   0.92907
+    0x3fd794f5e613dfae,     0x3fedbf9e4395759a,     //   0.36847,   0.92964
+    0x3fd77d96ca4b73a6,     0x3fedc43d52fcb453,     //   0.36704,   0.93021
+    0x3fd766340f2418f6,     0x3fedc8d7cb410260,     //   0.36561,   0.93077
+    0x3fd74ecdb8390a3e,     0x3fedcd6dabaca3a5,     //   0.36418,   0.93133
+    0x3fd73763c9261092,     0x3fedd1fef38a915a,     //   0.36276,   0.93188
+    0x3fd71ff6458782ec,     0x3fedd68ba2267a25,     //   0.36133,   0.93244
+    0x3fd7088530fa459e,     0x3feddb13b6ccc23d,     //    0.3599,   0.93299
+    0x3fd6f1108f1bc9c5,     0x3feddf9730ca837b,     //   0.35846,   0.93354
+    0x3fd6d998638a0cb5,     0x3fede4160f6d8d81,     //   0.35703,   0.93409
+    0x3fd6c21cb1e39771,     0x3fede890520465ce,     //    0.3556,   0.93464
+    0x3fd6aa9d7dc77e16,     0x3feded05f7de47da,     //   0.35416,   0.93518
+    0x3fd6931acad55f51,     0x3fedf177004b2534,     //   0.35273,   0.93573
+    0x3fd67b949cad63ca,     0x3fedf5e36a9ba59c,     //   0.35129,   0.93627
+    0x3fd6640af6f03d9e,     0x3fedfa4b3621271d,     //   0.34986,    0.9368
+    0x3fd64c7ddd3f27c6,     0x3fedfeae622dbe2b,     //   0.34842,   0.93734
+    0x3fd634ed533be58e,     0x3fee030cee1435b8,     //   0.34698,   0.93787
+    0x3fd61d595c88c203,     0x3fee0766d9280f54,     //   0.34554,    0.9384
+    0x3fd605c1fcc88f63,     0x3fee0bbc22bd8349,     //    0.3441,   0.93893
+    0x3fd5ee27379ea693,     0x3fee100cca2980ac,     //   0.34266,   0.93946
+    0x3fd5d68910aee686,     0x3fee1458cec1ad83,     //   0.34122,   0.93998
+    0x3fd5bee78b9db3b6,     0x3fee18a02fdc66d9,     //   0.33978,   0.94051
+    0x3fd5a742ac0ff78d,     0x3fee1ce2ecd0c0d8,     //   0.33833,   0.94103
+    0x3fd58f9a75ab1fdd,     0x3fee212104f686e5,     //   0.33689,   0.94154
+    0x3fd577eeec151e47,     0x3fee255a77a63bb8,     //   0.33545,   0.94206
+    0x3fd5604012f467b4,     0x3fee298f4439197a,     //     0.334,   0.94257
+    0x3fd5488dedeff3be,     0x3fee2dbf6a0911d9,     //   0.33255,   0.94308
+    0x3fd530d880af3c24,     0x3fee31eae870ce25,     //   0.33111,   0.94359
+    0x3fd5191fceda3c35,     0x3fee3611becbaf69,     //   0.32966,    0.9441
+    0x3fd50163dc197047,     0x3fee3a33ec75ce85,     //   0.32821,    0.9446
+    0x3fd4e9a4ac15d520,     0x3fee3e5170cbfc46,     //   0.32676,   0.94511
+    0x3fd4d1e24278e76a,     0x3fee426a4b2bc17e,     //   0.32531,   0.94561
+    0x3fd4ba1ca2eca31c,     0x3fee467e7af35f23,     //   0.32386,   0.94611
+    0x3fd4a253d11b82f3,     0x3fee4a8dff81ce5e,     //   0.32241,    0.9466
+    0x3fd48a87d0b07fd7,     0x3fee4e98d836c0af,     //   0.32096,   0.94709
+    0x3fd472b8a5571054,     0x3fee529f04729ffc,     //    0.3195,   0.94759
+    0x3fd45ae652bb2800,     0x3fee56a083968eb1,     //   0.31805,   0.94807
+    0x3fd44310dc8936f0,     0x3fee5a9d550467d3,     //   0.31659,   0.94856
+    0x3fd42b38466e2928,     0x3fee5e95781ebf1c,     //   0.31514,   0.94905
+    0x3fd4135c94176602,     0x3fee6288ec48e112,     //   0.31368,   0.94953
+    0x3fd3fb7dc932cfa4,     0x3fee6677b0e6d31e,     //   0.31222,   0.95001
+    0x3fd3e39be96ec271,     0x3fee6a61c55d53a7,     //   0.31077,   0.95049
+    0x3fd3cbb6f87a146e,     0x3fee6e472911da27,     //   0.30931,   0.95096
+    0x3fd3b3cefa0414b7,     0x3fee7227db6a9744,     //   0.30785,   0.95144
+    0x3fd39be3f1bc8aef,     0x3fee7603dbce74e9,     //   0.30639,   0.95191
+    0x3fd383f5e353b6aa,     0x3fee79db29a5165a,     //   0.30493,   0.95238
+    0x3fd36c04d27a4edf,     0x3fee7dadc456d850,     //   0.30347,   0.95284
+    0x3fd35410c2e18152,     0x3fee817bab4cd10d,     //   0.30201,   0.95331
+    0x3fd33c19b83af207,     0x3fee8544ddf0d075,     //   0.30054,   0.95377
+    0x3fd3241fb638baaf,     0x3fee89095bad6025,     //   0.29908,   0.95423
+    0x3fd30c22c08d6a13,     0x3fee8cc923edc388,     //   0.29762,   0.95469
+    0x3fd2f422daec0386,     0x3fee9084361df7f3,     //   0.29615,   0.95514
+    0x3fd2dc200907fe51,     0x3fee943a91aab4b4,     //   0.29469,   0.95559
+    0x3fd2c41a4e954520,     0x3fee97ec36016b30,     //   0.29322,   0.95605
+    0x3fd2ac11af483572,     0x3fee9b99229046f8,     //   0.29175,   0.95649
+    0x3fd294062ed59f05,     0x3fee9f4156c62dda,     //   0.29028,   0.95694
+    0x3fd27bf7d0f2c346,     0x3feea2e4d212c000,     //   0.28882,   0.95738
+    0x3fd263e6995554ba,     0x3feea68393e65800,     //   0.28735,   0.95783
+    0x3fd24bd28bb37672,     0x3feeaa1d9bb20af3,     //   0.28588,   0.95827
+    0x3fd233bbabc3bb72,     0x3feeadb2e8e7a88e,     //   0.28441,    0.9587
+    0x3fd21ba1fd3d2623,     0x3feeb1437af9bb34,     //   0.28294,   0.95914
+    0x3fd2038583d727bd,     0x3feeb4cf515b8811,     //   0.28146,   0.95957
+    0x3fd1eb6643499fbb,     0x3feeb8566b810f2a,     //   0.27999,      0.96
+    0x3fd1d3443f4cdb3d,     0x3feebbd8c8df0b74,     //   0.27852,   0.96043
+    0x3fd1bb1f7b999480,     0x3feebf5668eaf2ef,     //   0.27705,   0.96086
+    0x3fd1a2f7fbe8f243,     0x3feec2cf4b1af6b2,     //   0.27557,   0.96128
+    0x3fd18acdc3f4873a,     0x3feec6436ee60309,     //    0.2741,    0.9617
+    0x3fd172a0d7765177,     0x3feec9b2d3c3bf84,     //   0.27262,   0.96212
+    0x3fd15a713a28b9d9,     0x3feecd1d792c8f10,     //   0.27115,   0.96254
+    0x3fd1423eefc69378,     0x3feed0835e999009,     //   0.26967,   0.96295
+    0x3fd12a09fc0b1b12,     0x3feed3e483849c51,     //   0.26819,   0.96337
+    0x3fd111d262b1f677,     0x3feed740e7684963,     //   0.26671,   0.96378
+    0x3fd0f998277733f7,     0x3feeda9889bfe86a,     //   0.26523,   0.96418
+    0x3fd0e15b4e1749cd,     0x3feeddeb6a078651,     //   0.26375,   0.96459
+    0x3fd0c91bda4f158d,     0x3feee13987bbebdc,     //   0.26227,   0.96499
+    0x3fd0b0d9cfdbdb90,     0x3feee482e25a9dbc,     //   0.26079,   0.96539
+    0x3fd09895327b465e,     0x3feee7c77961dc9e,     //   0.25931,   0.96579
+    0x3fd0804e05eb661e,     0x3feeeb074c50a544,     //   0.25783,   0.96619
+    0x3fd068044deab002,     0x3feeee425aa6b09a,     //   0.25635,   0.96658
+    0x3fd04fb80e37fdae,     0x3feef178a3e473c2,     //   0.25487,   0.96698
+    0x3fd037694a928cac,     0x3feef4aa278b2032,     //   0.25338,   0.96737
+    0x3fd01f1806b9fdd2,     0x3feef7d6e51ca3c0,     //    0.2519,   0.96775
+    0x3fd006c4466e54af,     0x3feefafedc1ba8b7,     //   0.25041,   0.96814
+    0x3fcfdcdc1adfedf8,     0x3feefe220c0b95ec,     //   0.24893,   0.96852
+    0x3fcfac2abeff57ff,     0x3fef014074708ed3,     //   0.24744,    0.9689
+    0x3fcf7b7480bd3801,     0x3fef045a14cf738c,     //   0.24596,   0.96928
+    0x3fcf4ab9679c9f5c,     0x3fef076eecade0fa,     //   0.24447,   0.96966
+    0x3fcf19f97b215f1a,     0x3fef0a7efb9230d7,     //   0.24298,   0.97003
+    0x3fcee934c2d006c7,     0x3fef0d8a410379c5,     //   0.24149,    0.9704
+    0x3fceb86b462de348,     0x3fef1090bc898f5f,     //      0.24,   0.97077
+    0x3fce879d0cc0fdaf,     0x3fef13926dad024e,     //   0.23851,   0.97114
+    0x3fce56ca1e101a1b,     0x3fef168f53f7205d,     //   0.23702,    0.9715
+    0x3fce25f281a2b684,     0x3fef19876ef1f486,     //   0.23553,   0.97187
+    0x3fcdf5163f01099a,     0x3fef1c7abe284708,     //   0.23404,   0.97223
+    0x3fcdc4355db40195,     0x3fef1f6941259d7a,     //   0.23255,   0.97258
+    0x3fcd934fe5454311,     0x3fef2252f7763ada,     //   0.23106,   0.97294
+    0x3fcd6265dd3f27e3,     0x3fef2537e0a71f9f,     //   0.22957,   0.97329
+    0x3fcd31774d2cbdee,     0x3fef2817fc4609ce,     //   0.22807,   0.97364
+    0x3fcd00843c99c5f9,     0x3fef2af349e17507,     //   0.22658,   0.97399
+    0x3fcccf8cb312b286,     0x3fef2dc9c9089a9d,     //   0.22508,   0.97434
+    0x3fcc9e90b824a6a9,     0x3fef309b794b719f,     //   0.22359,   0.97468
+    0x3fcc6d90535d74dc,     0x3fef33685a3aaef0,     //   0.22209,   0.97503
+    0x3fcc3c8b8c4b9dd7,     0x3fef36306b67c556,     //    0.2206,   0.97536
+    0x3fcc0b826a7e4f63,     0x3fef38f3ac64e589,     //    0.2191,    0.9757
+    0x3fcbda74f5856330,     0x3fef3bb21cc4fe47,     //    0.2176,   0.97604
+    0x3fcba96334f15dad,     0x3fef3e6bbc1bbc65,     //   0.21611,   0.97637
+    0x3fcb784d30536cda,     0x3fef412089fd8adc,     //   0.21461,    0.9767
+    0x3fcb4732ef3d6722,     0x3fef43d085ff92dd,     //   0.21311,   0.97703
+    0x3fcb16147941ca2a,     0x3fef467bafb7bbe0,     //   0.21161,   0.97735
+    0x3fcae4f1d5f3b9ab,     0x3fef492206bcabb4,     //   0.21011,   0.97768
+    0x3fcab3cb0ce6fe44,     0x3fef4bc38aa5c694,     //   0.20861,     0.978
+    0x3fca82a025b00451,     0x3fef4e603b0b2f2d,     //   0.20711,   0.97832
+    0x3fca517127e3dabc,     0x3fef50f81785c6b9,     //   0.20561,   0.97863
+    0x3fca203e1b1831da,     0x3fef538b1faf2d07,     //   0.20411,   0.97895
+    0x3fc9ef0706e35a35,     0x3fef56195321c090,     //   0.20261,   0.97926
+    0x3fc9bdcbf2dc4366,     0x3fef58a2b1789e84,     //    0.2011,   0.97957
+    0x3fc98c8ce69a7aec,     0x3fef5b273a4fa2d9,     //    0.1996,   0.97988
+    0x3fc95b49e9b62af9,     0x3fef5da6ed43685d,     //    0.1981,   0.98018
+    0x3fc92a0303c8194f,     0x3fef6021c9f148c2,     //   0.19659,   0.98048
+    0x3fc8f8b83c69a60a,     0x3fef6297cff75cb0,     //   0.19509,   0.98079
+    0x3fc8c7699b34ca7e,     0x3fef6508fef47bd5,     //   0.19359,   0.98108
+    0x3fc8961727c41804,     0x3fef677556883cee,     //   0.19208,   0.98138
+    0x3fc864c0e9b2b6cf,     0x3fef69dcd652f5de,     //   0.19057,   0.98167
+    0x3fc83366e89c64c5,     0x3fef6c3f7df5bbb7,     //   0.18907,   0.98196
+    0x3fc802092c1d744b,     0x3fef6e9d4d1262ca,     //   0.18756,   0.98225
+    0x3fc7d0a7bbd2cb1b,     0x3fef70f6434b7eb7,     //   0.18606,   0.98254
+    0x3fc79f429f59e11d,     0x3fef734a60446279,     //   0.18455,   0.98282
+    0x3fc76dd9de50bf31,     0x3fef7599a3a12077,     //   0.18304,   0.98311
+    0x3fc73c6d8055fe0a,     0x3fef77e40d068a90,     //   0.18153,   0.98339
+    0x3fc70afd8d08c4ff,     0x3fef7a299c1a322a,     //   0.18002,   0.98366
+    0x3fc6d98a0c08c8da,     0x3fef7c6a50826840,     //   0.17851,   0.98394
+    0x3fc6a81304f64ab2,     0x3fef7ea629e63d6e,     //     0.177,   0.98421
+    0x3fc676987f7216b8,     0x3fef80dd27ed8204,     //   0.17549,   0.98448
+    0x3fc6451a831d830d,     0x3fef830f4a40c60c,     //   0.17398,   0.98475
+    0x3fc61399179a6e94,     0x3fef853c9089595e,     //   0.17247,   0.98501
+    0x3fc5e214448b3fc6,     0x3fef8764fa714ba9,     //   0.17096,   0.98528
+    0x3fc5b08c1192e381,     0x3fef898887a36c84,     //   0.16945,   0.98554
+    0x3fc57f008654cbde,     0x3fef8ba737cb4b78,     //   0.16794,    0.9858
+    0x3fc54d71aa74ef02,     0x3fef8dc10a95380d,     //   0.16643,   0.98605
+    0x3fc51bdf8597c5f2,     0x3fef8fd5ffae41db,     //   0.16491,   0.98631
+    0x3fc4ea4a1f624b61,     0x3fef91e616c43891,     //    0.1634,   0.98656
+    0x3fc4b8b17f79fa88,     0x3fef93f14f85ac08,     //   0.16189,   0.98681
+    0x3fc48715ad84cdf5,     0x3fef95f7a9a1ec47,     //   0.16037,   0.98706
+    0x3fc45576b1293e5a,     0x3fef97f924c9099b,     //   0.15886,    0.9873
+    0x3fc423d4920e4166,     0x3fef99f5c0abd496,     //   0.15734,   0.98754
+    0x3fc3f22f57db4893,     0x3fef9bed7cfbde29,     //   0.15583,   0.98778
+    0x3fc3c0870a383ff6,     0x3fef9de0596b77a3,     //   0.15431,   0.98802
+    0x3fc38edbb0cd8d14,     0x3fef9fce55adb2c8,     //    0.1528,   0.98826
+    0x3fc35d2d53440db2,     0x3fefa1b7717661d5,     //   0.15128,   0.98849
+    0x3fc32b7bf94516a7,     0x3fefa39bac7a1791,     //   0.14976,   0.98872
+    0x3fc2f9c7aa7a72af,     0x3fefa57b066e2754,     //   0.14825,   0.98895
+    0x3fc2c8106e8e613a,     0x3fefa7557f08a517,     //   0.14673,   0.98918
+    0x3fc296564d2b953e,     0x3fefa92b1600657c,     //   0.14521,    0.9894
+    0x3fc264994dfd340a,     0x3fefaafbcb0cfddc,     //    0.1437,   0.98962
+    0x3fc232d978aed413,     0x3fefacc79de6c44f,     //   0.14218,   0.98984
+    0x3fc20116d4ec7bce,     0x3fefae8e8e46cfbb,     //   0.14066,   0.99006
+    0x3fc1cf516a62a077,     0x3fefb0509be6f7db,     //   0.13914,   0.99027
+    0x3fc19d8940be24e7,     0x3fefb20dc681d54d,     //   0.13762,   0.99049
+    0x3fc16bbe5fac5865,     0x3fefb3c60dd2c199,     //    0.1361,    0.9907
+    0x3fc139f0cedaf576,     0x3fefb5797195d741,     //   0.13458,    0.9909
+    0x3fc1082095f820b0,     0x3fefb727f187f1c7,     //   0.13306,   0.99111
+    0x3fc0d64dbcb26786,     0x3fefb8d18d66adb7,     //   0.13154,   0.99131
+    0x3fc0a4784ab8bf1d,     0x3fefba7644f068b5,     //   0.13002,   0.99151
+    0x3fc072a047ba831d,     0x3fefbc1617e44186,     //    0.1285,   0.99171
+    0x3fc040c5bb67747e,     0x3fefbdb106021816,     //   0.12698,   0.99191
+    0x3fc00ee8ad6fb85b,     0x3fefbf470f0a8d88,     //   0.12545,    0.9921
+    0x3fbfba124b07ad85,     0x3fefc0d832bf043a,     //   0.12393,   0.99229
+    0x3fbf564e56a9730e,     0x3fefc26470e19fd3,     //   0.12241,   0.99248
+    0x3fbef2858d27561b,     0x3fefc3ebc935454c,     //   0.12089,   0.99267
+    0x3fbe8eb7fde4aa3e,     0x3fefc56e3b7d9af6,     //   0.11937,   0.99285
+    0x3fbe2ae5b8457f77,     0x3fefc6ebc77f0887,     //   0.11784,   0.99303
+    0x3fbdc70ecbae9fc8,     0x3fefc8646cfeb721,     //   0.11632,   0.99321
+    0x3fbd633347858ce4,     0x3fefc9d82bc2915e,     //   0.11479,   0.99339
+    0x3fbcff533b307dc1,     0x3fefcb4703914354,     //   0.11327,   0.99356
+    0x3fbc9b6eb6165c42,     0x3fefccb0f4323aa3,     //   0.11175,   0.99374
+    0x3fbc3785c79ec2d5,     0x3fefce15fd6da67b,     //   0.11022,   0.99391
+    0x3fbbd3987f31fa0e,     0x3fefcf761f0c77a3,     //    0.1087,   0.99407
+    0x3fbb6fa6ec38f64c,     0x3fefd0d158d86087,     //   0.10717,   0.99424
+    0x3fbb0bb11e1d5559,     0x3fefd227aa9bd53b,     //   0.10565,    0.9944
+    0x3fbaa7b724495c04,     0x3fefd37914220b84,     //   0.10412,   0.99456
+    0x3fba43b90e27f3c4,     0x3fefd4c59536fae4,     //    0.1026,   0.99472
+    0x3fb9dfb6eb24a85c,     0x3fefd60d2da75c9e,     //   0.10107,   0.99488
+    0x3fb97bb0caaba56f,     0x3fefd74fdd40abbf,     //  0.099544,   0.99503
+    0x3fb917a6bc29b42c,     0x3fefd88da3d12526,     //  0.098017,   0.99518
+    0x3fb8b398cf0c38e0,     0x3fefd9c68127c78c,     //   0.09649,   0.99533
+    0x3fb84f8712c130a0,     0x3fefdafa7514538c,     //  0.094963,   0.99548
+    0x3fb7eb7196b72ee4,     0x3fefdc297f674ba9,     //  0.093436,   0.99563
+    0x3fb787586a5d5b21,     0x3fefdd539ff1f456,     //  0.091909,   0.99577
+    0x3fb7233b9d236e71,     0x3fefde78d68653fd,     //  0.090381,   0.99591
+    0x3fb6bf1b3e79b129,     0x3fefdf9922f73307,     //  0.088854,   0.99604
+    0x3fb65af75dd0f87b,     0x3fefe0b485181be3,     //  0.087326,   0.99618
+    0x3fb5f6d00a9aa419,     0x3fefe1cafcbd5b09,     //  0.085797,   0.99631
+    0x3fb592a554489bc8,     0x3fefe2dc89bbff08,     //  0.084269,   0.99644
+    0x3fb52e774a4d4d0a,     0x3fefe3e92be9d886,     //   0.08274,   0.99657
+    0x3fb4ca45fc1ba8b6,     0x3fefe4f0e31d7a4a,     //  0.081211,    0.9967
+    0x3fb4661179272096,     0x3fefe5f3af2e3940,     //  0.079682,   0.99682
+    0x3fb401d9d0e3a507,     0x3fefe6f18ff42c84,     //  0.078153,   0.99694
+    0x3fb39d9f12c5a299,     0x3fefe7ea85482d60,     //  0.076624,   0.99706
+    0x3fb339614e41ffa5,     0x3fefe8de8f03d75c,     //  0.075094,   0.99718
+    0x3fb2d52092ce19f6,     0x3fefe9cdad01883a,     //  0.073565,   0.99729
+    0x3fb270dcefdfc45b,     0x3fefeab7df1c6005,     //  0.072035,    0.9974
+    0x3fb20c9674ed444c,     0x3fefeb9d2530410f,     //  0.070505,   0.99751
+    0x3fb1a84d316d4f8a,     0x3fefec7d7f19cffc,     //  0.068974,   0.99762
+    0x3fb1440134d709b2,     0x3fefed58ecb673c4,     //  0.067444,   0.99772
+    0x3fb0dfb28ea201e6,     0x3fefee2f6de455ba,     //  0.065913,   0.99783
+    0x3fb07b614e463064,     0x3fefef0102826191,     //  0.064383,   0.99793
+    0x3fb0170d833bf421,     0x3fefefcdaa704562,     //  0.062852,   0.99802
+    0x3faf656e79f820e0,     0x3feff095658e71ad,     //  0.061321,   0.99812
+    0x3fae9cbd15ff5527,     0x3feff15833be1965,     //   0.05979,   0.99821
+    0x3fadd406f9808ec8,     0x3feff21614e131ed,     //  0.058258,    0.9983
+    0x3fad0b4c436f91d0,     0x3feff2cf08da7321,     //  0.056727,   0.99839
+    0x3fac428d12c0d7e3,     0x3feff3830f8d575c,     //  0.055195,   0.99848
+    0x3fab79c986698b78,     0x3feff43228de1b77,     //  0.053664,   0.99856
+    0x3faab101bd5f8317,     0x3feff4dc54b1bed3,     //  0.052132,   0.99864
+    0x3fa9e835d6993c87,     0x3feff58192ee0358,     //    0.0506,   0.99872
+    0x3fa91f65f10dd814,     0x3feff621e3796d7e,     //  0.049068,    0.9988
+    0x3fa856922bb513c1,     0x3feff6bd463b444d,     //  0.047535,   0.99887
+    0x3fa78dbaa5874685,     0x3feff753bb1b9164,     //  0.046003,   0.99894
+    0x3fa6c4df7d7d5b84,     0x3feff7e5420320f9,     //  0.044471,   0.99901
+    0x3fa5fc00d290cd43,     0x3feff871dadb81df,     //  0.042938,   0.99908
+    0x3fa5331ec3bba0eb,     0x3feff8f9858f058b,     //  0.041406,   0.99914
+    0x3fa46a396ff86179,     0x3feff97c4208c014,     //  0.039873,    0.9992
+    0x3fa3a150f6421afc,     0x3feff9fa10348837,     //   0.03834,   0.99926
+    0x3fa2d865759455cd,     0x3feffa72effef75d,     //  0.036807,   0.99932
+    0x3fa20f770ceb11c6,     0x3feffae6e1556998,     //  0.035274,   0.99938
+    0x3fa14685db42c17e,     0x3feffb55e425fdae,     //  0.033741,   0.99943
+    0x3fa07d91ff984580,     0x3feffbbff85f9515,     //  0.032208,   0.99948
+    0x3f9f693731d1cf01,     0x3feffc251df1d3f8,     //  0.030675,   0.99953
+    0x3f9dd7458c64ab39,     0x3feffc8554cd213a,     //  0.029142,   0.99958
+    0x3f9c454f4ce53b1c,     0x3feffce09ce2a679,     //  0.027608,   0.99962
+    0x3f9ab354b1504fca,     0x3feffd36f624500c,     //  0.026075,   0.99966
+    0x3f992155f7a3667e,     0x3feffd886084cd0d,     //  0.024541,    0.9997
+    0x3f978f535ddc9f03,     0x3feffdd4dbf78f52,     //  0.023008,   0.99974
+    0x3f95fd4d21fab226,     0x3feffe1c6870cb77,     //  0.021474,   0.99977
+    0x3f946b4381fce81c,     0x3feffe5f05e578db,     //   0.01994,    0.9998
+    0x3f92d936bbe30efd,     0x3feffe9cb44b51a1,     //  0.018407,   0.99983
+    0x3f9147270dad7132,     0x3feffed57398d2b7,     //  0.016873,   0.99986
+    0x3f8f6a296ab997ca,     0x3fefff0943c53bd1,     //  0.015339,   0.99988
+    0x3f8c45ffe1e48ad9,     0x3fefff3824c88f6f,     //  0.013805,    0.9999
+    0x3f8921d1fcdec784,     0x3fefff62169b92db,     //  0.012272,   0.99992
+    0x3f85fda037ac05e0,     0x3fefff871937ce2f,     //  0.010738,   0.99994
+    0x3f82d96b0e509703,     0x3fefffa72c978c4f,     // 0.0092038,   0.99996
+    0x3f7f6a65f9a2a3c5,     0x3fefffc250b5daef,     // 0.0076698,   0.99997
+    0x3f7921f0fe670071,     0x3fefffd8858e8a92,     // 0.0061359,   0.99998
+    0x3f72d97822f996bc,     0x3fefffe9cb1e2e8d,     // 0.0046019,   0.99999
+    0x3f6921f8becca4ba,     0x3feffff621621d02,     //  0.003068,         1
+    0x3f5921faaee6472d,     0x3feffffd88586ee6,     //  0.001534,         1
+    0x0000000000000000,     0x3ff0000000000000,     //         0,         1
+    0xbf5921faaee6472d,     0x3feffffd88586ee6,     // -0.001534,         1
+    0xbf6921f8becca4ba,     0x3feffff621621d02,     // -0.003068,         1
+    0xbf72d97822f996bc,     0x3fefffe9cb1e2e8d,     //-0.0046019,   0.99999
+    0xbf7921f0fe670071,     0x3fefffd8858e8a92,     //-0.0061359,   0.99998
+    0xbf7f6a65f9a2a3c5,     0x3fefffc250b5daef,     //-0.0076698,   0.99997
+    0xbf82d96b0e509703,     0x3fefffa72c978c4f,     //-0.0092038,   0.99996
+    0xbf85fda037ac05e0,     0x3fefff871937ce2f,     // -0.010738,   0.99994
+    0xbf8921d1fcdec784,     0x3fefff62169b92db,     // -0.012272,   0.99992
+    0xbf8c45ffe1e48ad9,     0x3fefff3824c88f6f,     // -0.013805,    0.9999
+    0xbf8f6a296ab997ca,     0x3fefff0943c53bd1,     // -0.015339,   0.99988
+    0xbf9147270dad7132,     0x3feffed57398d2b7,     // -0.016873,   0.99986
+    0xbf92d936bbe30efd,     0x3feffe9cb44b51a1,     // -0.018407,   0.99983
+    0xbf946b4381fce81c,     0x3feffe5f05e578db,     //  -0.01994,    0.9998
+    0xbf95fd4d21fab226,     0x3feffe1c6870cb77,     // -0.021474,   0.99977
+    0xbf978f535ddc9f03,     0x3feffdd4dbf78f52,     // -0.023008,   0.99974
+    0xbf992155f7a3667e,     0x3feffd886084cd0d,     // -0.024541,    0.9997
+    0xbf9ab354b1504fca,     0x3feffd36f624500c,     // -0.026075,   0.99966
+    0xbf9c454f4ce53b1c,     0x3feffce09ce2a679,     // -0.027608,   0.99962
+    0xbf9dd7458c64ab39,     0x3feffc8554cd213a,     // -0.029142,   0.99958
+    0xbf9f693731d1cf01,     0x3feffc251df1d3f8,     // -0.030675,   0.99953
+    0xbfa07d91ff984580,     0x3feffbbff85f9515,     // -0.032208,   0.99948
+    0xbfa14685db42c17e,     0x3feffb55e425fdae,     // -0.033741,   0.99943
+    0xbfa20f770ceb11c6,     0x3feffae6e1556998,     // -0.035274,   0.99938
+    0xbfa2d865759455cd,     0x3feffa72effef75d,     // -0.036807,   0.99932
+    0xbfa3a150f6421afc,     0x3feff9fa10348837,     //  -0.03834,   0.99926
+    0xbfa46a396ff86179,     0x3feff97c4208c014,     // -0.039873,    0.9992
+    0xbfa5331ec3bba0eb,     0x3feff8f9858f058b,     // -0.041406,   0.99914
+    0xbfa5fc00d290cd43,     0x3feff871dadb81df,     // -0.042938,   0.99908
+    0xbfa6c4df7d7d5b84,     0x3feff7e5420320f9,     // -0.044471,   0.99901
+    0xbfa78dbaa5874685,     0x3feff753bb1b9164,     // -0.046003,   0.99894
+    0xbfa856922bb513c1,     0x3feff6bd463b444d,     // -0.047535,   0.99887
+    0xbfa91f65f10dd814,     0x3feff621e3796d7e,     // -0.049068,    0.9988
+    0xbfa9e835d6993c87,     0x3feff58192ee0358,     //   -0.0506,   0.99872
+    0xbfaab101bd5f8317,     0x3feff4dc54b1bed3,     // -0.052132,   0.99864
+    0xbfab79c986698b78,     0x3feff43228de1b77,     // -0.053664,   0.99856
+    0xbfac428d12c0d7e3,     0x3feff3830f8d575c,     // -0.055195,   0.99848
+    0xbfad0b4c436f91d0,     0x3feff2cf08da7321,     // -0.056727,   0.99839
+    0xbfadd406f9808ec8,     0x3feff21614e131ed,     // -0.058258,    0.9983
+    0xbfae9cbd15ff5527,     0x3feff15833be1965,     //  -0.05979,   0.99821
+    0xbfaf656e79f820e0,     0x3feff095658e71ad,     // -0.061321,   0.99812
+    0xbfb0170d833bf421,     0x3fefefcdaa704562,     // -0.062852,   0.99802
+    0xbfb07b614e463064,     0x3fefef0102826191,     // -0.064383,   0.99793
+    0xbfb0dfb28ea201e6,     0x3fefee2f6de455ba,     // -0.065913,   0.99783
+    0xbfb1440134d709b2,     0x3fefed58ecb673c4,     // -0.067444,   0.99772
+    0xbfb1a84d316d4f8a,     0x3fefec7d7f19cffc,     // -0.068974,   0.99762
+    0xbfb20c9674ed444c,     0x3fefeb9d2530410f,     // -0.070505,   0.99751
+    0xbfb270dcefdfc45b,     0x3fefeab7df1c6005,     // -0.072035,    0.9974
+    0xbfb2d52092ce19f6,     0x3fefe9cdad01883a,     // -0.073565,   0.99729
+    0xbfb339614e41ffa5,     0x3fefe8de8f03d75c,     // -0.075094,   0.99718
+    0xbfb39d9f12c5a299,     0x3fefe7ea85482d60,     // -0.076624,   0.99706
+    0xbfb401d9d0e3a507,     0x3fefe6f18ff42c84,     // -0.078153,   0.99694
+    0xbfb4661179272096,     0x3fefe5f3af2e3940,     // -0.079682,   0.99682
+    0xbfb4ca45fc1ba8b6,     0x3fefe4f0e31d7a4a,     // -0.081211,    0.9967
+    0xbfb52e774a4d4d0a,     0x3fefe3e92be9d886,     //  -0.08274,   0.99657
+    0xbfb592a554489bc8,     0x3fefe2dc89bbff08,     // -0.084269,   0.99644
+    0xbfb5f6d00a9aa419,     0x3fefe1cafcbd5b09,     // -0.085797,   0.99631
+    0xbfb65af75dd0f87b,     0x3fefe0b485181be3,     // -0.087326,   0.99618
+    0xbfb6bf1b3e79b129,     0x3fefdf9922f73307,     // -0.088854,   0.99604
+    0xbfb7233b9d236e71,     0x3fefde78d68653fd,     // -0.090381,   0.99591
+    0xbfb787586a5d5b21,     0x3fefdd539ff1f456,     // -0.091909,   0.99577
+    0xbfb7eb7196b72ee4,     0x3fefdc297f674ba9,     // -0.093436,   0.99563
+    0xbfb84f8712c130a0,     0x3fefdafa7514538c,     // -0.094963,   0.99548
+    0xbfb8b398cf0c38e0,     0x3fefd9c68127c78c,     //  -0.09649,   0.99533
+    0xbfb917a6bc29b42c,     0x3fefd88da3d12526,     // -0.098017,   0.99518
+    0xbfb97bb0caaba56f,     0x3fefd74fdd40abbf,     // -0.099544,   0.99503
+    0xbfb9dfb6eb24a85c,     0x3fefd60d2da75c9e,     //  -0.10107,   0.99488
+    0xbfba43b90e27f3c4,     0x3fefd4c59536fae4,     //   -0.1026,   0.99472
+    0xbfbaa7b724495c04,     0x3fefd37914220b84,     //  -0.10412,   0.99456
+    0xbfbb0bb11e1d5559,     0x3fefd227aa9bd53b,     //  -0.10565,    0.9944
+    0xbfbb6fa6ec38f64c,     0x3fefd0d158d86087,     //  -0.10717,   0.99424
+    0xbfbbd3987f31fa0e,     0x3fefcf761f0c77a3,     //   -0.1087,   0.99407
+    0xbfbc3785c79ec2d5,     0x3fefce15fd6da67b,     //  -0.11022,   0.99391
+    0xbfbc9b6eb6165c42,     0x3fefccb0f4323aa3,     //  -0.11175,   0.99374
+    0xbfbcff533b307dc1,     0x3fefcb4703914354,     //  -0.11327,   0.99356
+    0xbfbd633347858ce4,     0x3fefc9d82bc2915e,     //  -0.11479,   0.99339
+    0xbfbdc70ecbae9fc8,     0x3fefc8646cfeb721,     //  -0.11632,   0.99321
+    0xbfbe2ae5b8457f77,     0x3fefc6ebc77f0887,     //  -0.11784,   0.99303
+    0xbfbe8eb7fde4aa3e,     0x3fefc56e3b7d9af6,     //  -0.11937,   0.99285
+    0xbfbef2858d27561b,     0x3fefc3ebc935454c,     //  -0.12089,   0.99267
+    0xbfbf564e56a9730e,     0x3fefc26470e19fd3,     //  -0.12241,   0.99248
+    0xbfbfba124b07ad85,     0x3fefc0d832bf043a,     //  -0.12393,   0.99229
+    0xbfc00ee8ad6fb85b,     0x3fefbf470f0a8d88,     //  -0.12545,    0.9921
+    0xbfc040c5bb67747e,     0x3fefbdb106021816,     //  -0.12698,   0.99191
+    0xbfc072a047ba831d,     0x3fefbc1617e44186,     //   -0.1285,   0.99171
+    0xbfc0a4784ab8bf1d,     0x3fefba7644f068b5,     //  -0.13002,   0.99151
+    0xbfc0d64dbcb26786,     0x3fefb8d18d66adb7,     //  -0.13154,   0.99131
+    0xbfc1082095f820b0,     0x3fefb727f187f1c7,     //  -0.13306,   0.99111
+    0xbfc139f0cedaf576,     0x3fefb5797195d741,     //  -0.13458,    0.9909
+    0xbfc16bbe5fac5865,     0x3fefb3c60dd2c199,     //   -0.1361,    0.9907
+    0xbfc19d8940be24e7,     0x3fefb20dc681d54d,     //  -0.13762,   0.99049
+    0xbfc1cf516a62a077,     0x3fefb0509be6f7db,     //  -0.13914,   0.99027
+    0xbfc20116d4ec7bce,     0x3fefae8e8e46cfbb,     //  -0.14066,   0.99006
+    0xbfc232d978aed413,     0x3fefacc79de6c44f,     //  -0.14218,   0.98984
+    0xbfc264994dfd340a,     0x3fefaafbcb0cfddc,     //   -0.1437,   0.98962
+    0xbfc296564d2b953e,     0x3fefa92b1600657c,     //  -0.14521,    0.9894
+    0xbfc2c8106e8e613a,     0x3fefa7557f08a517,     //  -0.14673,   0.98918
+    0xbfc2f9c7aa7a72af,     0x3fefa57b066e2754,     //  -0.14825,   0.98895
+    0xbfc32b7bf94516a7,     0x3fefa39bac7a1791,     //  -0.14976,   0.98872
+    0xbfc35d2d53440db2,     0x3fefa1b7717661d5,     //  -0.15128,   0.98849
+    0xbfc38edbb0cd8d14,     0x3fef9fce55adb2c8,     //   -0.1528,   0.98826
+    0xbfc3c0870a383ff6,     0x3fef9de0596b77a3,     //  -0.15431,   0.98802
+    0xbfc3f22f57db4893,     0x3fef9bed7cfbde29,     //  -0.15583,   0.98778
+    0xbfc423d4920e4166,     0x3fef99f5c0abd496,     //  -0.15734,   0.98754
+    0xbfc45576b1293e5a,     0x3fef97f924c9099b,     //  -0.15886,    0.9873
+    0xbfc48715ad84cdf5,     0x3fef95f7a9a1ec47,     //  -0.16037,   0.98706
+    0xbfc4b8b17f79fa88,     0x3fef93f14f85ac08,     //  -0.16189,   0.98681
+    0xbfc4ea4a1f624b61,     0x3fef91e616c43891,     //   -0.1634,   0.98656
+    0xbfc51bdf8597c5f2,     0x3fef8fd5ffae41db,     //  -0.16491,   0.98631
+    0xbfc54d71aa74ef02,     0x3fef8dc10a95380d,     //  -0.16643,   0.98605
+    0xbfc57f008654cbde,     0x3fef8ba737cb4b78,     //  -0.16794,    0.9858
+    0xbfc5b08c1192e381,     0x3fef898887a36c84,     //  -0.16945,   0.98554
+    0xbfc5e214448b3fc6,     0x3fef8764fa714ba9,     //  -0.17096,   0.98528
+    0xbfc61399179a6e94,     0x3fef853c9089595e,     //  -0.17247,   0.98501
+    0xbfc6451a831d830d,     0x3fef830f4a40c60c,     //  -0.17398,   0.98475
+    0xbfc676987f7216b8,     0x3fef80dd27ed8204,     //  -0.17549,   0.98448
+    0xbfc6a81304f64ab2,     0x3fef7ea629e63d6e,     //    -0.177,   0.98421
+    0xbfc6d98a0c08c8da,     0x3fef7c6a50826840,     //  -0.17851,   0.98394
+    0xbfc70afd8d08c4ff,     0x3fef7a299c1a322a,     //  -0.18002,   0.98366
+    0xbfc73c6d8055fe0a,     0x3fef77e40d068a90,     //  -0.18153,   0.98339
+    0xbfc76dd9de50bf31,     0x3fef7599a3a12077,     //  -0.18304,   0.98311
+    0xbfc79f429f59e11d,     0x3fef734a60446279,     //  -0.18455,   0.98282
+    0xbfc7d0a7bbd2cb1b,     0x3fef70f6434b7eb7,     //  -0.18606,   0.98254
+    0xbfc802092c1d744b,     0x3fef6e9d4d1262ca,     //  -0.18756,   0.98225
+    0xbfc83366e89c64c5,     0x3fef6c3f7df5bbb7,     //  -0.18907,   0.98196
+    0xbfc864c0e9b2b6cf,     0x3fef69dcd652f5de,     //  -0.19057,   0.98167
+    0xbfc8961727c41804,     0x3fef677556883cee,     //  -0.19208,   0.98138
+    0xbfc8c7699b34ca7e,     0x3fef6508fef47bd5,     //  -0.19359,   0.98108
+    0xbfc8f8b83c69a60a,     0x3fef6297cff75cb0,     //  -0.19509,   0.98079
+    0xbfc92a0303c8194f,     0x3fef6021c9f148c2,     //  -0.19659,   0.98048
+    0xbfc95b49e9b62af9,     0x3fef5da6ed43685d,     //   -0.1981,   0.98018
+    0xbfc98c8ce69a7aec,     0x3fef5b273a4fa2d9,     //   -0.1996,   0.97988
+    0xbfc9bdcbf2dc4366,     0x3fef58a2b1789e84,     //   -0.2011,   0.97957
+    0xbfc9ef0706e35a35,     0x3fef56195321c090,     //  -0.20261,   0.97926
+    0xbfca203e1b1831da,     0x3fef538b1faf2d07,     //  -0.20411,   0.97895
+    0xbfca517127e3dabc,     0x3fef50f81785c6b9,     //  -0.20561,   0.97863
+    0xbfca82a025b00451,     0x3fef4e603b0b2f2d,     //  -0.20711,   0.97832
+    0xbfcab3cb0ce6fe44,     0x3fef4bc38aa5c694,     //  -0.20861,     0.978
+    0xbfcae4f1d5f3b9ab,     0x3fef492206bcabb4,     //  -0.21011,   0.97768
+    0xbfcb16147941ca2a,     0x3fef467bafb7bbe0,     //  -0.21161,   0.97735
+    0xbfcb4732ef3d6722,     0x3fef43d085ff92dd,     //  -0.21311,   0.97703
+    0xbfcb784d30536cda,     0x3fef412089fd8adc,     //  -0.21461,    0.9767
+    0xbfcba96334f15dad,     0x3fef3e6bbc1bbc65,     //  -0.21611,   0.97637
+    0xbfcbda74f5856330,     0x3fef3bb21cc4fe47,     //   -0.2176,   0.97604
+    0xbfcc0b826a7e4f63,     0x3fef38f3ac64e589,     //   -0.2191,    0.9757
+    0xbfcc3c8b8c4b9dd7,     0x3fef36306b67c556,     //   -0.2206,   0.97536
+    0xbfcc6d90535d74dc,     0x3fef33685a3aaef0,     //  -0.22209,   0.97503
+    0xbfcc9e90b824a6a9,     0x3fef309b794b719f,     //  -0.22359,   0.97468
+    0xbfcccf8cb312b286,     0x3fef2dc9c9089a9d,     //  -0.22508,   0.97434
+    0xbfcd00843c99c5f9,     0x3fef2af349e17507,     //  -0.22658,   0.97399
+    0xbfcd31774d2cbdee,     0x3fef2817fc4609ce,     //  -0.22807,   0.97364
+    0xbfcd6265dd3f27e3,     0x3fef2537e0a71f9f,     //  -0.22957,   0.97329
+    0xbfcd934fe5454311,     0x3fef2252f7763ada,     //  -0.23106,   0.97294
+    0xbfcdc4355db40195,     0x3fef1f6941259d7a,     //  -0.23255,   0.97258
+    0xbfcdf5163f01099a,     0x3fef1c7abe284708,     //  -0.23404,   0.97223
+    0xbfce25f281a2b684,     0x3fef19876ef1f486,     //  -0.23553,   0.97187
+    0xbfce56ca1e101a1b,     0x3fef168f53f7205d,     //  -0.23702,    0.9715
+    0xbfce879d0cc0fdaf,     0x3fef13926dad024e,     //  -0.23851,   0.97114
+    0xbfceb86b462de348,     0x3fef1090bc898f5f,     //     -0.24,   0.97077
+    0xbfcee934c2d006c7,     0x3fef0d8a410379c5,     //  -0.24149,    0.9704
+    0xbfcf19f97b215f1a,     0x3fef0a7efb9230d7,     //  -0.24298,   0.97003
+    0xbfcf4ab9679c9f5c,     0x3fef076eecade0fa,     //  -0.24447,   0.96966
+    0xbfcf7b7480bd3801,     0x3fef045a14cf738c,     //  -0.24596,   0.96928
+    0xbfcfac2abeff57ff,     0x3fef014074708ed3,     //  -0.24744,    0.9689
+    0xbfcfdcdc1adfedf8,     0x3feefe220c0b95ec,     //  -0.24893,   0.96852
+    0xbfd006c4466e54af,     0x3feefafedc1ba8b7,     //  -0.25041,   0.96814
+    0xbfd01f1806b9fdd2,     0x3feef7d6e51ca3c0,     //   -0.2519,   0.96775
+    0xbfd037694a928cac,     0x3feef4aa278b2032,     //  -0.25338,   0.96737
+    0xbfd04fb80e37fdae,     0x3feef178a3e473c2,     //  -0.25487,   0.96698
+    0xbfd068044deab002,     0x3feeee425aa6b09a,     //  -0.25635,   0.96658
+    0xbfd0804e05eb661e,     0x3feeeb074c50a544,     //  -0.25783,   0.96619
+    0xbfd09895327b465e,     0x3feee7c77961dc9e,     //  -0.25931,   0.96579
+    0xbfd0b0d9cfdbdb90,     0x3feee482e25a9dbc,     //  -0.26079,   0.96539
+    0xbfd0c91bda4f158d,     0x3feee13987bbebdc,     //  -0.26227,   0.96499
+    0xbfd0e15b4e1749cd,     0x3feeddeb6a078651,     //  -0.26375,   0.96459
+    0xbfd0f998277733f7,     0x3feeda9889bfe86a,     //  -0.26523,   0.96418
+    0xbfd111d262b1f677,     0x3feed740e7684963,     //  -0.26671,   0.96378
+    0xbfd12a09fc0b1b12,     0x3feed3e483849c51,     //  -0.26819,   0.96337
+    0xbfd1423eefc69378,     0x3feed0835e999009,     //  -0.26967,   0.96295
+    0xbfd15a713a28b9d9,     0x3feecd1d792c8f10,     //  -0.27115,   0.96254
+    0xbfd172a0d7765177,     0x3feec9b2d3c3bf84,     //  -0.27262,   0.96212
+    0xbfd18acdc3f4873a,     0x3feec6436ee60309,     //   -0.2741,    0.9617
+    0xbfd1a2f7fbe8f243,     0x3feec2cf4b1af6b2,     //  -0.27557,   0.96128
+    0xbfd1bb1f7b999480,     0x3feebf5668eaf2ef,     //  -0.27705,   0.96086
+    0xbfd1d3443f4cdb3d,     0x3feebbd8c8df0b74,     //  -0.27852,   0.96043
+    0xbfd1eb6643499fbb,     0x3feeb8566b810f2a,     //  -0.27999,      0.96
+    0xbfd2038583d727bd,     0x3feeb4cf515b8811,     //  -0.28146,   0.95957
+    0xbfd21ba1fd3d2623,     0x3feeb1437af9bb34,     //  -0.28294,   0.95914
+    0xbfd233bbabc3bb72,     0x3feeadb2e8e7a88e,     //  -0.28441,    0.9587
+    0xbfd24bd28bb37672,     0x3feeaa1d9bb20af3,     //  -0.28588,   0.95827
+    0xbfd263e6995554ba,     0x3feea68393e65800,     //  -0.28735,   0.95783
+    0xbfd27bf7d0f2c346,     0x3feea2e4d212c000,     //  -0.28882,   0.95738
+    0xbfd294062ed59f05,     0x3fee9f4156c62dda,     //  -0.29028,   0.95694
+    0xbfd2ac11af483572,     0x3fee9b99229046f8,     //  -0.29175,   0.95649
+    0xbfd2c41a4e954520,     0x3fee97ec36016b30,     //  -0.29322,   0.95605
+    0xbfd2dc200907fe51,     0x3fee943a91aab4b4,     //  -0.29469,   0.95559
+    0xbfd2f422daec0386,     0x3fee9084361df7f3,     //  -0.29615,   0.95514
+    0xbfd30c22c08d6a13,     0x3fee8cc923edc388,     //  -0.29762,   0.95469
+    0xbfd3241fb638baaf,     0x3fee89095bad6025,     //  -0.29908,   0.95423
+    0xbfd33c19b83af207,     0x3fee8544ddf0d075,     //  -0.30054,   0.95377
+    0xbfd35410c2e18152,     0x3fee817bab4cd10d,     //  -0.30201,   0.95331
+    0xbfd36c04d27a4edf,     0x3fee7dadc456d850,     //  -0.30347,   0.95284
+    0xbfd383f5e353b6aa,     0x3fee79db29a5165a,     //  -0.30493,   0.95238
+    0xbfd39be3f1bc8aef,     0x3fee7603dbce74e9,     //  -0.30639,   0.95191
+    0xbfd3b3cefa0414b7,     0x3fee7227db6a9744,     //  -0.30785,   0.95144
+    0xbfd3cbb6f87a146e,     0x3fee6e472911da27,     //  -0.30931,   0.95096
+    0xbfd3e39be96ec271,     0x3fee6a61c55d53a7,     //  -0.31077,   0.95049
+    0xbfd3fb7dc932cfa4,     0x3fee6677b0e6d31e,     //  -0.31222,   0.95001
+    0xbfd4135c94176602,     0x3fee6288ec48e112,     //  -0.31368,   0.94953
+    0xbfd42b38466e2928,     0x3fee5e95781ebf1c,     //  -0.31514,   0.94905
+    0xbfd44310dc8936f0,     0x3fee5a9d550467d3,     //  -0.31659,   0.94856
+    0xbfd45ae652bb2800,     0x3fee56a083968eb1,     //  -0.31805,   0.94807
+    0xbfd472b8a5571054,     0x3fee529f04729ffc,     //   -0.3195,   0.94759
+    0xbfd48a87d0b07fd7,     0x3fee4e98d836c0af,     //  -0.32096,   0.94709
+    0xbfd4a253d11b82f3,     0x3fee4a8dff81ce5e,     //  -0.32241,    0.9466
+    0xbfd4ba1ca2eca31c,     0x3fee467e7af35f23,     //  -0.32386,   0.94611
+    0xbfd4d1e24278e76a,     0x3fee426a4b2bc17e,     //  -0.32531,   0.94561
+    0xbfd4e9a4ac15d520,     0x3fee3e5170cbfc46,     //  -0.32676,   0.94511
+    0xbfd50163dc197047,     0x3fee3a33ec75ce85,     //  -0.32821,    0.9446
+    0xbfd5191fceda3c35,     0x3fee3611becbaf69,     //  -0.32966,    0.9441
+    0xbfd530d880af3c24,     0x3fee31eae870ce25,     //  -0.33111,   0.94359
+    0xbfd5488dedeff3be,     0x3fee2dbf6a0911d9,     //  -0.33255,   0.94308
+    0xbfd5604012f467b4,     0x3fee298f4439197a,     //    -0.334,   0.94257
+    0xbfd577eeec151e47,     0x3fee255a77a63bb8,     //  -0.33545,   0.94206
+    0xbfd58f9a75ab1fdd,     0x3fee212104f686e5,     //  -0.33689,   0.94154
+    0xbfd5a742ac0ff78d,     0x3fee1ce2ecd0c0d8,     //  -0.33833,   0.94103
+    0xbfd5bee78b9db3b6,     0x3fee18a02fdc66d9,     //  -0.33978,   0.94051
+    0xbfd5d68910aee686,     0x3fee1458cec1ad83,     //  -0.34122,   0.93998
+    0xbfd5ee27379ea693,     0x3fee100cca2980ac,     //  -0.34266,   0.93946
+    0xbfd605c1fcc88f63,     0x3fee0bbc22bd8349,     //   -0.3441,   0.93893
+    0xbfd61d595c88c203,     0x3fee0766d9280f54,     //  -0.34554,    0.9384
+    0xbfd634ed533be58e,     0x3fee030cee1435b8,     //  -0.34698,   0.93787
+    0xbfd64c7ddd3f27c6,     0x3fedfeae622dbe2b,     //  -0.34842,   0.93734
+    0xbfd6640af6f03d9e,     0x3fedfa4b3621271d,     //  -0.34986,    0.9368
+    0xbfd67b949cad63ca,     0x3fedf5e36a9ba59c,     //  -0.35129,   0.93627
+    0xbfd6931acad55f51,     0x3fedf177004b2534,     //  -0.35273,   0.93573
+    0xbfd6aa9d7dc77e16,     0x3feded05f7de47da,     //  -0.35416,   0.93518
+    0xbfd6c21cb1e39771,     0x3fede890520465ce,     //   -0.3556,   0.93464
+    0xbfd6d998638a0cb5,     0x3fede4160f6d8d81,     //  -0.35703,   0.93409
+    0xbfd6f1108f1bc9c5,     0x3feddf9730ca837b,     //  -0.35846,   0.93354
+    0xbfd7088530fa459e,     0x3feddb13b6ccc23d,     //   -0.3599,   0.93299
+    0xbfd71ff6458782ec,     0x3fedd68ba2267a25,     //  -0.36133,   0.93244
+    0xbfd73763c9261092,     0x3fedd1fef38a915a,     //  -0.36276,   0.93188
+    0xbfd74ecdb8390a3e,     0x3fedcd6dabaca3a5,     //  -0.36418,   0.93133
+    0xbfd766340f2418f6,     0x3fedc8d7cb410260,     //  -0.36561,   0.93077
+    0xbfd77d96ca4b73a6,     0x3fedc43d52fcb453,     //  -0.36704,   0.93021
+    0xbfd794f5e613dfae,     0x3fedbf9e4395759a,     //  -0.36847,   0.92964
+    0xbfd7ac515ee2b172,     0x3fedbafa9dc1b78d,     //  -0.36989,   0.92907
+    0xbfd7c3a9311dcce7,     0x3fedb6526238a09b,     //  -0.37132,   0.92851
+    0xbfd7dafd592ba621,     0x3fedb1a591b20c38,     //  -0.37274,   0.92794
+    0xbfd7f24dd37341e3,     0x3fedacf42ce68ab9,     //  -0.37416,   0.92736
+    0xbfd8099a9c5c362d,     0x3feda83e348f613b,     //  -0.37559,   0.92679
+    0xbfd820e3b04eaac4,     0x3feda383a9668988,     //  -0.37701,   0.92621
+    0xbfd838290bb359c8,     0x3fed9ec48c26b1f3,     //  -0.37843,   0.92563
+    0xbfd84f6aaaf3903f,     0x3fed9a00dd8b3d46,     //  -0.37985,   0.92505
+    0xbfd866a88a792ea0,     0x3fed95389e50429b,     //  -0.38127,   0.92447
+    0xbfd87de2a6aea963,     0x3fed906bcf328d46,     //  -0.38268,   0.92388
+    0xbfd89518fbff098e,     0x3fed8b9a70ef9cb4,     //   -0.3841,   0.92329
+    0xbfd8ac4b86d5ed44,     0x3fed86c48445a450,     //  -0.38552,    0.9227
+    0xbfd8c37a439f884f,     0x3fed81ea09f38b63,     //  -0.38693,   0.92211
+    0xbfd8daa52ec8a4af,     0x3fed7d0b02b8ecf9,     //  -0.38835,   0.92151
+    0xbfd8f1cc44bea329,     0x3fed78276f5617c6,     //  -0.38976,   0.92092
+    0xbfd908ef81ef7bd1,     0x3fed733f508c0dff,     //  -0.39117,   0.92032
+    0xbfd9200ee2c9be97,     0x3fed6e52a71c8547,     //  -0.39258,   0.91972
+    0xbfd9372a63bc93d7,     0x3fed696173c9e68b,     //  -0.39399,   0.91911
+    0xbfd94e420137bce3,     0x3fed646bb7574de5,     //   -0.3954,   0.91851
+    0xbfd96555b7ab948f,     0x3fed5f7172888a7f,     //  -0.39681,    0.9179
+    0xbfd97c6583890fc2,     0x3fed5a72a6221e73,     //  -0.39822,   0.91729
+    0xbfd993716141bdfe,     0x3fed556f52e93eb1,     //  -0.39962,   0.91668
+    0xbfd9aa794d47c9ee,     0x3fed506779a3d2d9,     //  -0.40103,   0.91606
+    0xbfd9c17d440df9f2,     0x3fed4b5b1b187524,     //  -0.40243,   0.91545
+    0xbfd9d87d4207b0ab,     0x3fed464a380e7242,     //  -0.40384,   0.91483
+    0xbfd9ef7943a8ed8a,     0x3fed4134d14dc93a,     //  -0.40524,   0.91421
+    0xbfda067145664d57,     0x3fed3c1ae79f2b4e,     //  -0.40664,   0.91359
+    0xbfda1d6543b50ac0,     0x3fed36fc7bcbfbdc,     //  -0.40804,   0.91296
+    0xbfda34553b0afee5,     0x3fed31d98e9e503a,     //  -0.40944,   0.91234
+    0xbfda4b4127dea1e4,     0x3fed2cb220e0ef9f,     //  -0.41084,   0.91171
+    0xbfda622906a70b63,     0x3fed2786335f52fc,     //  -0.41224,   0.91107
+    0xbfda790cd3dbf31a,     0x3fed2255c6e5a4e1,     //  -0.41364,   0.91044
+    0xbfda8fec8bf5b166,     0x3fed1d20dc40c15c,     //  -0.41503,   0.90981
+    0xbfdaa6c82b6d3fc9,     0x3fed17e7743e35dc,     //  -0.41643,   0.90917
+    0xbfdabd9faebc3980,     0x3fed12a98fac410c,     //  -0.41782,   0.90853
+    0xbfdad473125cdc08,     0x3fed0d672f59d2b9,     //  -0.41922,   0.90789
+    0xbfdaeb4252ca07ab,     0x3fed082054168bac,     //  -0.42061,   0.90724
+    0xbfdb020d6c7f4009,     0x3fed02d4feb2bd92,     //    -0.422,    0.9066
+    0xbfdb18d45bf8aca6,     0x3fecfd852fff6ad4,     //  -0.42339,   0.90595
+    0xbfdb2f971db31972,     0x3fecf830e8ce467b,     //  -0.42478,    0.9053
+    0xbfdb4655ae2bf757,     0x3fecf2d829f1b40e,     //  -0.42617,   0.90464
+    0xbfdb5d1009e15cc0,     0x3feced7af43cc773,     //  -0.42756,   0.90399
+    0xbfdb73c62d520624,     0x3fece819488344ce,     //  -0.42894,   0.90333
+    0xbfdb8a7814fd5693,     0x3fece2b32799a060,     //  -0.43033,   0.90267
+    0xbfdba125bd63583e,     0x3fecdd489254fe65,     //  -0.43171,   0.90201
+    0xbfdbb7cf2304bd01,     0x3fecd7d9898b32f6,     //  -0.43309,   0.90135
+    0xbfdbce744262deee,     0x3fecd2660e12c1e6,     //  -0.43448,   0.90068
+    0xbfdbe51517ffc0d9,     0x3fecccee20c2de9f,     //  -0.43586,   0.90002
+    0xbfdbfbb1a05e0edc,     0x3fecc771c2736c09,     //  -0.43724,   0.89935
+    0xbfdc1249d8011ee7,     0x3fecc1f0f3fcfc5c,     //  -0.43862,   0.89867
+    0xbfdc28ddbb6cf145,     0x3fecbc6bb638d10b,     //  -0.43999,     0.898
+    0xbfdc3f6d47263129,     0x3fecb6e20a00da99,     //  -0.44137,   0.89732
+    0xbfdc55f877b23537,     0x3fecb153f02fb87d,     //  -0.44275,   0.89665
+    0xbfdc6c7f4997000a,     0x3fecabc169a0b901,     //  -0.44412,   0.89597
+    0xbfdc8301b95b40c2,     0x3feca62a772fd919,     //   -0.4455,   0.89528
+    0xbfdc997fc3865388,     0x3feca08f19b9c449,     //  -0.44687,    0.8946
+    0xbfdcaff964a0421d,     0x3fec9aef521bd480,     //  -0.44824,   0.89391
+    0xbfdcc66e9931c45d,     0x3fec954b213411f5,     //  -0.44961,   0.89322
+    0xbfdcdcdf5dc440ce,     0x3fec8fa287e13305,     //  -0.45098,   0.89253
+    0xbfdcf34baee1cd21,     0x3fec89f587029c13,     //  -0.45235,   0.89184
+    0xbfdd09b389152ec1,     0x3fec84441f785f61,     //  -0.45372,   0.89115
+    0xbfdd2016e8e9db5b,     0x3fec7e8e52233cf3,     //  -0.45508,   0.89045
+    0xbfdd3675caebf962,     0x3fec78d41fe4a267,     //  -0.45645,   0.88975
+    0xbfdd4cd02ba8609c,     0x3fec7315899eaad7,     //  -0.45781,   0.88905
+    0xbfdd632607ac9aa9,     0x3fec6d5290341eb2,     //  -0.45918,   0.88835
+    0xbfdd79775b86e389,     0x3fec678b3488739b,     //  -0.46054,   0.88764
+    0xbfdd8fc423c62a25,     0x3fec61bf777fcc48,     //   -0.4619,   0.88693
+    0xbfdda60c5cfa10d8,     0x3fec5bef59fef85a,     //  -0.46326,   0.88622
+    0xbfddbc5003b2edf8,     0x3fec561adceb743e,     //  -0.46462,   0.88551
+    0xbfddd28f1481cc58,     0x3fec5042012b6907,     //  -0.46598,    0.8848
+    0xbfdde8c98bf86bd6,     0x3fec4a64c7a5ac4c,     //  -0.46733,   0.88408
+    0xbfddfeff66a941de,     0x3fec44833141c004,     //  -0.46869,   0.88336
+    0xbfde1530a12779f4,     0x3fec3e9d3ee7d262,     //  -0.47004,   0.88264
+    0xbfde2b5d3806f63b,     0x3fec38b2f180bdb1,     //   -0.4714,   0.88192
+    0xbfde418527dc4ffa,     0x3fec32c449f60831,     //  -0.47275,    0.8812
+    0xbfde57a86d3cd824,     0x3fec2cd14931e3f1,     //   -0.4741,   0.88047
+    0xbfde6dc704be97e2,     0x3fec26d9f01f2eaf,     //  -0.47545,   0.87974
+    0xbfde83e0eaf85113,     0x3fec20de3fa971b0,     //   -0.4768,   0.87901
+    0xbfde99f61c817eda,     0x3fec1ade38bce19b,     //  -0.47815,   0.87828
+    0xbfdeb00695f25620,     0x3fec14d9dc465e58,     //  -0.47949,   0.87755
+    0xbfdec61253e3c61b,     0x3fec0ed12b3372e9,     //  -0.48084,   0.87681
+    0xbfdedc1952ef78d5,     0x3fec08c426725549,     //  -0.48218,   0.87607
+    0xbfdef21b8fafd3b5,     0x3fec02b2cef1e641,     //  -0.48353,   0.87533
+    0xbfdf081906bff7fd,     0x3febfc9d25a1b147,     //  -0.48487,   0.87459
+    0xbfdf1e11b4bbc35c,     0x3febf6832b71ec5b,     //  -0.48621,   0.87384
+    0xbfdf3405963fd068,     0x3febf064e15377dd,     //  -0.48755,   0.87309
+    0xbfdf49f4a7e97729,     0x3febea424837de6d,     //  -0.48889,   0.87235
+    0xbfdf5fdee656cda3,     0x3febe41b611154c1,     //  -0.49023,    0.8716
+    0xbfdf75c44e26a852,     0x3febddf02cd2b983,     //  -0.49156,   0.87084
+    0xbfdf8ba4dbf89aba,     0x3febd7c0ac6f952a,     //   -0.4929,   0.87009
+    0xbfdfa1808c6cf7e0,     0x3febd18ce0dc19d6,     //  -0.49423,   0.86933
+    0xbfdfb7575c24d2de,     0x3febcb54cb0d2327,     //  -0.49557,   0.86857
+    0xbfdfcd2947c1ff57,     0x3febc5186bf8361d,     //   -0.4969,   0.86781
+    0xbfdfe2f64be7120f,     0x3febbed7c49380ea,     //  -0.49823,   0.86705
+    0xbfdff8be6537615e,     0x3febb892d5d5dad5,     //  -0.49956,   0.86628
+    0xbfe00740c82b82e0,     0x3febb249a0b6c40d,     //  -0.50089,   0.86551
+    0xbfe0121fe4f56d2c,     0x3febabfc262e6586,     //  -0.50221,   0.86474
+    0xbfe01cfc874c3eb7,     0x3feba5aa673590d2,     //  -0.50354,   0.86397
+    0xbfe027d6ad83287e,     0x3feb9f5464c5bffc,     //  -0.50486,    0.8632
+    0xbfe032ae55edbd95,     0x3feb98fa1fd9155e,     //  -0.50619,   0.86242
+    0xbfe03d837edff370,     0x3feb929b996a5b7f,     //  -0.50751,   0.86165
+    0xbfe0485626ae221a,     0x3feb8c38d27504e9,     //  -0.50883,   0.86087
+    0xbfe053264bad0483,     0x3feb85d1cbf52c02,     //  -0.51015,   0.86009
+    0xbfe05df3ec31b8b6,     0x3feb7f6686e792ea,     //  -0.51147,    0.8593
+    0xbfe068bf0691c028,     0x3feb78f70449a34b,     //  -0.51279,   0.85852
+    0xbfe073879922ffed,     0x3feb728345196e3e,     //   -0.5141,   0.85773
+    0xbfe07e4da23bc102,     0x3feb6c0b4a55ac17,     //  -0.51542,   0.85694
+    0xbfe089112032b08c,     0x3feb658f14fdbc47,     //  -0.51673,   0.85615
+    0xbfe093d2115ee018,     0x3feb5f0ea611a532,     //  -0.51804,   0.85535
+    0xbfe09e907417c5e1,     0x3feb5889fe921405,     //  -0.51936,   0.85456
+    0xbfe0a94c46b53d0b,     0x3feb52011f805c92,     //  -0.52067,   0.85376
+    0xbfe0b405878f85ec,     0x3feb4b7409de7925,     //  -0.52198,   0.85296
+    0xbfe0bebc34ff4646,     0x3feb44e2beaf0a61,     //  -0.52328,   0.85216
+    0xbfe0c9704d5d898f,     0x3feb3e4d3ef55712,     //  -0.52459,   0.85136
+    0xbfe0d421cf03c12b,     0x3feb37b38bb54c09,     //   -0.5259,   0.85055
+    0xbfe0ded0b84bc4b5,     0x3feb3115a5f37bf4,     //   -0.5272,   0.84974
+    0xbfe0e97d078fd23b,     0x3feb2a738eb51f33,     //   -0.5285,   0.84893
+    0xbfe0f426bb2a8e7d,     0x3feb23cd470013b4,     //   -0.5298,   0.84812
+    0xbfe0fecdd1770537,     0x3feb1d22cfdadcc6,     //   -0.5311,   0.84731
+    0xbfe1097248d0a956,     0x3feb16742a4ca2f5,     //   -0.5324,   0.84649
+    0xbfe114141f935545,     0x3feb0fc1575d33db,     //   -0.5337,   0.84567
+    0xbfe11eb3541b4b22,     0x3feb090a58150200,     //    -0.535,   0.84485
+    0xbfe1294fe4c5350a,     0x3feb024f2d7d24a9,     //  -0.53629,   0.84403
+    0xbfe133e9cfee254e,     0x3feafb8fd89f57b6,     //  -0.53759,   0.84321
+    0xbfe13e8113f396c1,     0x3feaf4cc5a85fb73,     //  -0.53888,   0.84238
+    0xbfe14915af336ceb,     0x3feaee04b43c1474,     //  -0.54017,   0.84155
+    0xbfe153a7a00bf453,     0x3feae738e6cd4b67,     //  -0.54146,   0.84073
+    0xbfe15e36e4dbe2bc,     0x3feae068f345ecef,     //  -0.54275,   0.83989
+    0xbfe168c37c025764,     0x3fead994dab2e979,     //  -0.54404,   0.83906
+    0xbfe1734d63dedb49,     0x3fead2bc9e21d511,     //  -0.54532,   0.83822
+    0xbfe17dd49ad16161,     0x3feacbe03ea0e73b,     //  -0.54661,   0.83739
+    0xbfe188591f3a46e5,     0x3feac4ffbd3efac8,     //  -0.54789,   0.83655
+    0xbfe192daef7a5386,     0x3feabe1b1b0b8dac,     //  -0.54918,   0.83571
+    0xbfe19d5a09f2b9b8,     0x3feab7325916c0d4,     //  -0.55046,   0.83486
+    0xbfe1a7d66d0516e6,     0x3feab045787157ff,     //  -0.55174,   0.83402
+    0xbfe1b250171373be,     0x3feaa9547a2cb98e,     //  -0.55302,   0.83317
+    0xbfe1bcc706804467,     0x3feaa25f5f5aee60,     //  -0.55429,   0.83232
+    0xbfe1c73b39ae68c8,     0x3fea9b66290ea1a3,     //  -0.55557,   0.83147
+    0xbfe1d1acaf012cc2,     0x3fea9468d85b20ae,     //  -0.55685,   0.83062
+    0xbfe1dc1b64dc4872,     0x3fea8d676e545ad2,     //  -0.55812,   0.82976
+    0xbfe1e68759a3e074,     0x3fea8661ec0ee133,     //  -0.55939,    0.8289
+    0xbfe1f0f08bbc861b,     0x3fea7f58529fe69d,     //  -0.56066,   0.82805
+    0xbfe1fb56f98b37b8,     0x3fea784aa31d3f55,     //  -0.56193,   0.82718
+    0xbfe205baa17560d6,     0x3fea7138de9d60f5,     //   -0.5632,   0.82632
+    0xbfe2101b81e0da78,     0x3fea6a230637623b,     //  -0.56447,   0.82546
+    0xbfe21a799933eb58,     0x3fea63091b02fae2,     //  -0.56573,   0.82459
+    0xbfe224d4e5d5482e,     0x3fea5beb1e188375,     //    -0.567,   0.82372
+    0xbfe22f2d662c13e1,     0x3fea54c91090f524,     //  -0.56826,   0.82285
+    0xbfe23983189fdfd5,     0x3fea4da2f385e997,     //  -0.56952,   0.82198
+    0xbfe243d5fb98ac1f,     0x3fea4678c8119ac8,     //  -0.57078,    0.8211
+    0xbfe24e260d7ee7c9,     0x3fea3f4a8f4ee2d2,     //  -0.57204,   0.82023
+    0xbfe258734cbb7110,     0x3fea38184a593bc6,     //   -0.5733,   0.81935
+    0xbfe262bdb7b795a2,     0x3fea30e1fa4cbf81,     //  -0.57455,   0.81847
+    0xbfe26d054cdd12df,     0x3fea29a7a0462782,     //  -0.57581,   0.81758
+    0xbfe2774a0a961612,     0x3fea22693d62ccb9,     //  -0.57706,    0.8167
+    0xbfe2818bef4d3cba,     0x3fea1b26d2c0a75e,     //  -0.57831,   0.81581
+    0xbfe28bcaf96d94ba,     0x3fea13e0617e4ec7,     //  -0.57956,   0.81493
+    0xbfe2960727629ca8,     0x3fea0c95eabaf937,     //  -0.58081,   0.81404
+    0xbfe2a040779843fb,     0x3fea05476f967bb5,     //  -0.58206,   0.81314
+    0xbfe2aa76e87aeb58,     0x3fe9fdf4f13149de,     //  -0.58331,   0.81225
+    0xbfe2b4aa787764c4,     0x3fe9f69e70ac75bc,     //  -0.58455,   0.81135
+    0xbfe2bedb25faf3ea,     0x3fe9ef43ef29af94,     //   -0.5858,   0.81046
+    0xbfe2c908ef734e57,     0x3fe9e7e56dcb45bd,     //  -0.58704,   0.80956
+    0xbfe2d333d34e9bb7,     0x3fe9e082edb42472,     //  -0.58828,   0.80866
+    0xbfe2dd5bcffb7616,     0x3fe9d91c7007d5a6,     //  -0.58952,   0.80775
+    0xbfe2e780e3e8ea16,     0x3fe9d1b1f5ea80d6,     //  -0.59076,   0.80685
+    0xbfe2f1a30d86773a,     0x3fe9ca438080eadb,     //    -0.592,   0.80594
+    0xbfe2fbc24b441015,     0x3fe9c2d110f075c3,     //  -0.59323,   0.80503
+    0xbfe305de9b921a94,     0x3fe9bb5aa85f2098,     //  -0.59447,   0.80412
+    0xbfe30ff7fce17035,     0x3fe9b3e047f38741,     //   -0.5957,   0.80321
+    0xbfe31a0e6da35e44,     0x3fe9ac61f0d4e247,     //  -0.59693,   0.80229
+    0xbfe32421ec49a620,     0x3fe9a4dfa42b06b2,     //  -0.59816,   0.80138
+    0xbfe32e3277467d6b,     0x3fe99d59631e65d5,     //  -0.59939,   0.80046
+    0xbfe338400d0c8e57,     0x3fe995cf2ed80d22,     //  -0.60062,   0.79954
+    0xbfe3424aac0ef7d6,     0x3fe98e410881a600,     //  -0.60184,   0.79861
+    0xbfe34c5252c14de1,     0x3fe986aef1457594,     //  -0.60307,   0.79769
+    0xbfe35656ff9799ae,     0x3fe97f18ea4e5c9e,     //  -0.60429,   0.79676
+    0xbfe36058b10659f3,     0x3fe9777ef4c7d742,     //  -0.60551,   0.79584
+    0xbfe36a576582831b,     0x3fe96fe111ddfce0,     //  -0.60673,   0.79491
+    0xbfe374531b817f8d,     0x3fe9683f42bd7fe1,     //  -0.60795,   0.79398
+    0xbfe37e4bd1792fe2,     0x3fe960998893ad8c,     //  -0.60917,   0.79304
+    0xbfe3884185dfeb22,     0x3fe958efe48e6dd7,     //  -0.61038,   0.79211
+    0xbfe39234372c7f04,     0x3fe9514257dc4335,     //   -0.6116,   0.79117
+    0xbfe39c23e3d63029,     0x3fe94990e3ac4a6c,     //  -0.61281,   0.79023
+    0xbfe3a6108a54ba58,     0x3fe941db892e3a65,     //  -0.61402,   0.78929
+    0xbfe3affa292050b9,     0x3fe93a22499263fc,     //  -0.61523,   0.78835
+    0xbfe3b9e0beb19e18,     0x3fe932652609b1cf,     //  -0.61644,    0.7874
+    0xbfe3c3c44981c517,     0x3fe92aa41fc5a815,     //  -0.61765,   0.78646
+    0xbfe3cda4c80a6076,     0x3fe922df37f8646a,     //  -0.61885,   0.78551
+    0xbfe3d78238c58343,     0x3fe91b166fd49da2,     //  -0.62006,   0.78456
+    0xbfe3e15c9a2db922,     0x3fe91349c88da398,     //  -0.62126,    0.7836
+    0xbfe3eb33eabe0680,     0x3fe90b7943575efe,     //  -0.62246,   0.78265
+    0xbfe3f50828f1e8d2,     0x3fe903a4e1665133,     //  -0.62366,   0.78169
+    0xbfe3fed9534556d4,     0x3fe8fbcca3ef940d,     //  -0.62486,   0.78074
+    0xbfe408a76834c0c0,     0x3fe8f3f08c28d9ac,     //  -0.62606,   0.77978
+    0xbfe41272663d108c,     0x3fe8ec109b486c49,     //  -0.62725,   0.77882
+    0xbfe41c3a4bdbaa26,     0x3fe8e42cd2852e0a,     //  -0.62845,   0.77785
+    0xbfe425ff178e6bb1,     0x3fe8dc45331698cc,     //  -0.62964,   0.77689
+    0xbfe42fc0c7d3adbb,     0x3fe8d459be34bdfa,     //  -0.63083,   0.77592
+    0xbfe4397f5b2a4380,     0x3fe8cc6a75184655,     //  -0.63202,   0.77495
+    0xbfe4433ad0117b1d,     0x3fe8c47758fa71cb,     //  -0.63321,   0.77398
+    0xbfe44cf325091dd6,     0x3fe8bc806b151741,     //  -0.63439,   0.77301
+    0xbfe456a858917046,     0x3fe8b485aca2a468,     //  -0.63558,   0.77204
+    0xbfe4605a692b32a2,     0x3fe8ac871ede1d88,     //  -0.63676,   0.77106
+    0xbfe46a095557a0f1,     0x3fe8a484c3031d50,     //  -0.63794,   0.77008
+    0xbfe473b51b987347,     0x3fe89c7e9a4dd4ab,     //  -0.63912,    0.7691
+    0xbfe47d5dba6fde01,     0x3fe89474a5fb0a84,     //   -0.6403,   0.76812
+    0xbfe48703306091fe,     0x3fe88c66e7481ba1,     //  -0.64148,   0.76714
+    0xbfe490a57bedbcdf,     0x3fe884555f72fa6b,     //  -0.64266,   0.76615
+    0xbfe49a449b9b0938,     0x3fe87c400fba2ebf,     //  -0.64383,   0.76517
+    0xbfe4a3e08dec9ed6,     0x3fe87426f95cd5bd,     //    -0.645,   0.76418
+    0xbfe4ad79516722f0,     0x3fe86c0a1d9aa195,     //  -0.64618,   0.76319
+    0xbfe4b70ee48fb869,     0x3fe863e97db3d95a,     //  -0.64735,    0.7622
+    0xbfe4c0a145ec0004,     0x3fe85bc51ae958cc,     //  -0.64851,    0.7612
+    0xbfe4ca30740218a3,     0x3fe8539cf67c9029,     //  -0.64968,   0.76021
+    0xbfe4d3bc6d589f80,     0x3fe84b7111af83f9,     //  -0.65085,   0.75921
+    0xbfe4dd453076b064,     0x3fe843416dc4cce2,     //  -0.65201,   0.75821
+    0xbfe4e6cabbe3e5e9,     0x3fe83b0e0bff976e,     //  -0.65317,   0.75721
+    0xbfe4f04d0e2859aa,     0x3fe832d6eda3a3e0,     //  -0.65433,   0.75621
+    0xbfe4f9cc25cca486,     0x3fe82a9c13f545ff,     //  -0.65549,    0.7552
+    0xbfe503480159ded2,     0x3fe8225d803964e5,     //  -0.65665,   0.75419
+    0xbfe50cc09f59a09b,     0x3fe81a1b33b57acc,     //  -0.65781,   0.75319
+    0xbfe51635fe5601d7,     0x3fe811d52faf94dc,     //  -0.65896,   0.75218
+    0xbfe51fa81cd99aa6,     0x3fe8098b756e52fa,     //  -0.66011,   0.75117
+    0xbfe52916f96f8388,     0x3fe8013e0638e795,     //  -0.66127,   0.75015
+    0xbfe5328292a35596,     0x3fe7f8ece3571771,     //  -0.66242,   0.74914
+    0xbfe53beae7012abe,     0x3fe7f0980e113978,     //  -0.66356,   0.74812
+    0xbfe5454ff5159dfb,     0x3fe7e83f87b03686,     //  -0.66471,    0.7471
+    0xbfe54eb1bb6dcb8f,     0x3fe7dfe3517d8937,     //  -0.66586,   0.74608
+    0xbfe5581038975137,     0x3fe7d7836cc33db2,     //    -0.667,   0.74506
+    0xbfe5616b6b204e6e,     0x3fe7cf1fdacbf179,     //  -0.66814,   0.74403
+    0xbfe56ac35197649e,     0x3fe7c6b89ce2d333,     //  -0.66928,   0.74301
+    0xbfe57417ea8bb75c,     0x3fe7be4db453a27c,     //  -0.67042,   0.74198
+    0xbfe57d69348cec9f,     0x3fe7b5df226aafb0,     //  -0.67156,   0.74095
+    0xbfe586b72e2b2cfd,     0x3fe7ad6ce874dbb6,     //  -0.67269,   0.73992
+    0xbfe59001d5f723df,     0x3fe7a4f707bf97d2,     //  -0.67383,   0.73889
+    0xbfe599492a81ffbc,     0x3fe79c7d8198e56e,     //  -0.67496,   0.73785
+    0xbfe5a28d2a5d7250,     0x3fe79400574f55e4,     //  -0.67609,   0.73682
+    0xbfe5abcdd41bb0d8,     0x3fe78b7f8a320a52,     //  -0.67722,   0.73578
+    0xbfe5b50b264f7448,     0x3fe782fb1b90b35b,     //  -0.67835,   0.73474
+    0xbfe5be451f8bf980,     0x3fe77a730cbb9100,     //  -0.67948,    0.7337
+    0xbfe5c77bbe65018c,     0x3fe771e75f037261,     //   -0.6806,   0.73265
+    0xbfe5d0af016ed1d4,     0x3fe7695813b9b594,     //  -0.68172,   0.73161
+    0xbfe5d9dee73e345c,     0x3fe760c52c304764,     //  -0.68285,   0.73056
+    0xbfe5e30b6e6877f3,     0x3fe7582ea9b9a329,     //  -0.68397,   0.72951
+    0xbfe5ec3495837074,     0x3fe74f948da8d28d,     //  -0.68508,   0.72846
+    0xbfe5f55a5b2576f8,     0x3fe746f6d9516d59,     //   -0.6862,   0.72741
+    0xbfe5fe7cbde56a0f,     0x3fe73e558e079942,     //  -0.68732,   0.72636
+    0xbfe6079bbc5aadfa,     0x3fe735b0ad2009b2,     //  -0.68843,    0.7253
+    0xbfe610b7551d2cde,     0x3fe72d0837efff97,     //  -0.68954,   0.72425
+    0xbfe619cf86c55702,     0x3fe7245c2fcd492a,     //  -0.69065,   0.72319
+    0xbfe622e44fec22ff,     0x3fe71bac960e41bf,     //  -0.69176,   0.72213
+    0xbfe62bf5af2b0dfd,     0x3fe712f96c09d18d,     //  -0.69287,   0.72107
+    0xbfe63503a31c1be8,     0x3fe70a42b3176d7a,     //  -0.69397,      0.72
+    0xbfe63e0e2a59d7aa,     0x3fe701886c8f16e6,     //  -0.69508,   0.71894
+    0xbfe64715437f535b,     0x3fe6f8ca99c95b75,     //  -0.69618,   0.71787
+    0xbfe65018ed28287f,     0x3fe6f0093c1f54de,     //  -0.69728,    0.7168
+    0xbfe6591925f0783e,     0x3fe6e74454eaa8ae,     //  -0.69838,   0.71573
+    0xbfe66215ec74eb91,     0x3fe6de7be585881d,     //  -0.69947,   0.71466
+    0xbfe66b0f3f52b386,     0x3fe6d5afef4aafcc,     //  -0.70057,   0.71358
+    0xbfe674051d27896c,     0x3fe6cce07395679f,     //  -0.70166,   0.71251
+    0xbfe67cf78491af10,     0x3fe6c40d73c18275,     //  -0.70275,   0.71143
+    0xbfe685e6742feeef,     0x3fe6bb36f12b5e06,     //  -0.70385,   0.71035
+    0xbfe68ed1eaa19c71,     0x3fe6b25ced2fe29c,     //  -0.70493,   0.70927
+    0xbfe697b9e686941c,     0x3fe6a97f692c82ea,     //  -0.70602,   0.70819
+    0xbfe6a09e667f3bcc,     0x3fe6a09e667f3bcc,     //  -0.70711,   0.70711
+    0xbfe6a97f692c82ea,     0x3fe697b9e686941c,     //  -0.70819,   0.70602
+    0xbfe6b25ced2fe29c,     0x3fe68ed1eaa19c71,     //  -0.70927,   0.70493
+    0xbfe6bb36f12b5e06,     0x3fe685e6742feeef,     //  -0.71035,   0.70385
+    0xbfe6c40d73c18275,     0x3fe67cf78491af10,     //  -0.71143,   0.70275
+    0xbfe6cce07395679f,     0x3fe674051d27896c,     //  -0.71251,   0.70166
+    0xbfe6d5afef4aafcc,     0x3fe66b0f3f52b386,     //  -0.71358,   0.70057
+    0xbfe6de7be585881d,     0x3fe66215ec74eb91,     //  -0.71466,   0.69947
+    0xbfe6e74454eaa8ae,     0x3fe6591925f0783e,     //  -0.71573,   0.69838
+    0xbfe6f0093c1f54de,     0x3fe65018ed28287f,     //   -0.7168,   0.69728
+    0xbfe6f8ca99c95b75,     0x3fe64715437f535b,     //  -0.71787,   0.69618
+    0xbfe701886c8f16e6,     0x3fe63e0e2a59d7aa,     //  -0.71894,   0.69508
+    0xbfe70a42b3176d7a,     0x3fe63503a31c1be8,     //     -0.72,   0.69397
+    0xbfe712f96c09d18d,     0x3fe62bf5af2b0dfd,     //  -0.72107,   0.69287
+    0xbfe71bac960e41bf,     0x3fe622e44fec22ff,     //  -0.72213,   0.69176
+    0xbfe7245c2fcd492a,     0x3fe619cf86c55702,     //  -0.72319,   0.69065
+    0xbfe72d0837efff97,     0x3fe610b7551d2cde,     //  -0.72425,   0.68954
+    0xbfe735b0ad2009b2,     0x3fe6079bbc5aadfa,     //   -0.7253,   0.68843
+    0xbfe73e558e079942,     0x3fe5fe7cbde56a0f,     //  -0.72636,   0.68732
+    0xbfe746f6d9516d59,     0x3fe5f55a5b2576f8,     //  -0.72741,    0.6862
+    0xbfe74f948da8d28d,     0x3fe5ec3495837074,     //  -0.72846,   0.68508
+    0xbfe7582ea9b9a329,     0x3fe5e30b6e6877f3,     //  -0.72951,   0.68397
+    0xbfe760c52c304764,     0x3fe5d9dee73e345c,     //  -0.73056,   0.68285
+    0xbfe7695813b9b594,     0x3fe5d0af016ed1d4,     //  -0.73161,   0.68172
+    0xbfe771e75f037261,     0x3fe5c77bbe65018c,     //  -0.73265,    0.6806
+    0xbfe77a730cbb9100,     0x3fe5be451f8bf980,     //   -0.7337,   0.67948
+    0xbfe782fb1b90b35b,     0x3fe5b50b264f7448,     //  -0.73474,   0.67835
+    0xbfe78b7f8a320a52,     0x3fe5abcdd41bb0d8,     //  -0.73578,   0.67722
+    0xbfe79400574f55e4,     0x3fe5a28d2a5d7250,     //  -0.73682,   0.67609
+    0xbfe79c7d8198e56e,     0x3fe599492a81ffbc,     //  -0.73785,   0.67496
+    0xbfe7a4f707bf97d2,     0x3fe59001d5f723df,     //  -0.73889,   0.67383
+    0xbfe7ad6ce874dbb6,     0x3fe586b72e2b2cfd,     //  -0.73992,   0.67269
+    0xbfe7b5df226aafb0,     0x3fe57d69348cec9f,     //  -0.74095,   0.67156
+    0xbfe7be4db453a27c,     0x3fe57417ea8bb75c,     //  -0.74198,   0.67042
+    0xbfe7c6b89ce2d333,     0x3fe56ac35197649e,     //  -0.74301,   0.66928
+    0xbfe7cf1fdacbf179,     0x3fe5616b6b204e6e,     //  -0.74403,   0.66814
+    0xbfe7d7836cc33db2,     0x3fe5581038975137,     //  -0.74506,     0.667
+    0xbfe7dfe3517d8937,     0x3fe54eb1bb6dcb8f,     //  -0.74608,   0.66586
+    0xbfe7e83f87b03686,     0x3fe5454ff5159dfb,     //   -0.7471,   0.66471
+    0xbfe7f0980e113978,     0x3fe53beae7012abe,     //  -0.74812,   0.66356
+    0xbfe7f8ece3571771,     0x3fe5328292a35596,     //  -0.74914,   0.66242
+    0xbfe8013e0638e795,     0x3fe52916f96f8388,     //  -0.75015,   0.66127
+    0xbfe8098b756e52fa,     0x3fe51fa81cd99aa6,     //  -0.75117,   0.66011
+    0xbfe811d52faf94dc,     0x3fe51635fe5601d7,     //  -0.75218,   0.65896
+    0xbfe81a1b33b57acc,     0x3fe50cc09f59a09b,     //  -0.75319,   0.65781
+    0xbfe8225d803964e5,     0x3fe503480159ded2,     //  -0.75419,   0.65665
+    0xbfe82a9c13f545ff,     0x3fe4f9cc25cca486,     //   -0.7552,   0.65549
+    0xbfe832d6eda3a3e0,     0x3fe4f04d0e2859aa,     //  -0.75621,   0.65433
+    0xbfe83b0e0bff976e,     0x3fe4e6cabbe3e5e9,     //  -0.75721,   0.65317
+    0xbfe843416dc4cce2,     0x3fe4dd453076b064,     //  -0.75821,   0.65201
+    0xbfe84b7111af83f9,     0x3fe4d3bc6d589f80,     //  -0.75921,   0.65085
+    0xbfe8539cf67c9029,     0x3fe4ca30740218a3,     //  -0.76021,   0.64968
+    0xbfe85bc51ae958cc,     0x3fe4c0a145ec0004,     //   -0.7612,   0.64851
+    0xbfe863e97db3d95a,     0x3fe4b70ee48fb869,     //   -0.7622,   0.64735
+    0xbfe86c0a1d9aa195,     0x3fe4ad79516722f0,     //  -0.76319,   0.64618
+    0xbfe87426f95cd5bd,     0x3fe4a3e08dec9ed6,     //  -0.76418,     0.645
+    0xbfe87c400fba2ebf,     0x3fe49a449b9b0938,     //  -0.76517,   0.64383
+    0xbfe884555f72fa6b,     0x3fe490a57bedbcdf,     //  -0.76615,   0.64266
+    0xbfe88c66e7481ba1,     0x3fe48703306091fe,     //  -0.76714,   0.64148
+    0xbfe89474a5fb0a84,     0x3fe47d5dba6fde01,     //  -0.76812,    0.6403
+    0xbfe89c7e9a4dd4ab,     0x3fe473b51b987347,     //   -0.7691,   0.63912
+    0xbfe8a484c3031d50,     0x3fe46a095557a0f1,     //  -0.77008,   0.63794
+    0xbfe8ac871ede1d88,     0x3fe4605a692b32a2,     //  -0.77106,   0.63676
+    0xbfe8b485aca2a468,     0x3fe456a858917046,     //  -0.77204,   0.63558
+    0xbfe8bc806b151741,     0x3fe44cf325091dd6,     //  -0.77301,   0.63439
+    0xbfe8c47758fa71cb,     0x3fe4433ad0117b1d,     //  -0.77398,   0.63321
+    0xbfe8cc6a75184655,     0x3fe4397f5b2a4380,     //  -0.77495,   0.63202
+    0xbfe8d459be34bdfa,     0x3fe42fc0c7d3adbb,     //  -0.77592,   0.63083
+    0xbfe8dc45331698cc,     0x3fe425ff178e6bb1,     //  -0.77689,   0.62964
+    0xbfe8e42cd2852e0a,     0x3fe41c3a4bdbaa26,     //  -0.77785,   0.62845
+    0xbfe8ec109b486c49,     0x3fe41272663d108c,     //  -0.77882,   0.62725
+    0xbfe8f3f08c28d9ac,     0x3fe408a76834c0c0,     //  -0.77978,   0.62606
+    0xbfe8fbcca3ef940d,     0x3fe3fed9534556d4,     //  -0.78074,   0.62486
+    0xbfe903a4e1665133,     0x3fe3f50828f1e8d2,     //  -0.78169,   0.62366
+    0xbfe90b7943575efe,     0x3fe3eb33eabe0680,     //  -0.78265,   0.62246
+    0xbfe91349c88da398,     0x3fe3e15c9a2db922,     //   -0.7836,   0.62126
+    0xbfe91b166fd49da2,     0x3fe3d78238c58343,     //  -0.78456,   0.62006
+    0xbfe922df37f8646a,     0x3fe3cda4c80a6076,     //  -0.78551,   0.61885
+    0xbfe92aa41fc5a815,     0x3fe3c3c44981c517,     //  -0.78646,   0.61765
+    0xbfe932652609b1cf,     0x3fe3b9e0beb19e18,     //   -0.7874,   0.61644
+    0xbfe93a22499263fc,     0x3fe3affa292050b9,     //  -0.78835,   0.61523
+    0xbfe941db892e3a65,     0x3fe3a6108a54ba58,     //  -0.78929,   0.61402
+    0xbfe94990e3ac4a6c,     0x3fe39c23e3d63029,     //  -0.79023,   0.61281
+    0xbfe9514257dc4335,     0x3fe39234372c7f04,     //  -0.79117,    0.6116
+    0xbfe958efe48e6dd7,     0x3fe3884185dfeb22,     //  -0.79211,   0.61038
+    0xbfe960998893ad8c,     0x3fe37e4bd1792fe2,     //  -0.79304,   0.60917
+    0xbfe9683f42bd7fe1,     0x3fe374531b817f8d,     //  -0.79398,   0.60795
+    0xbfe96fe111ddfce0,     0x3fe36a576582831b,     //  -0.79491,   0.60673
+    0xbfe9777ef4c7d742,     0x3fe36058b10659f3,     //  -0.79584,   0.60551
+    0xbfe97f18ea4e5c9e,     0x3fe35656ff9799ae,     //  -0.79676,   0.60429
+    0xbfe986aef1457594,     0x3fe34c5252c14de1,     //  -0.79769,   0.60307
+    0xbfe98e410881a600,     0x3fe3424aac0ef7d6,     //  -0.79861,   0.60184
+    0xbfe995cf2ed80d22,     0x3fe338400d0c8e57,     //  -0.79954,   0.60062
+    0xbfe99d59631e65d5,     0x3fe32e3277467d6b,     //  -0.80046,   0.59939
+    0xbfe9a4dfa42b06b2,     0x3fe32421ec49a620,     //  -0.80138,   0.59816
+    0xbfe9ac61f0d4e247,     0x3fe31a0e6da35e44,     //  -0.80229,   0.59693
+    0xbfe9b3e047f38741,     0x3fe30ff7fce17035,     //  -0.80321,    0.5957
+    0xbfe9bb5aa85f2098,     0x3fe305de9b921a94,     //  -0.80412,   0.59447
+    0xbfe9c2d110f075c3,     0x3fe2fbc24b441015,     //  -0.80503,   0.59323
+    0xbfe9ca438080eadb,     0x3fe2f1a30d86773a,     //  -0.80594,     0.592
+    0xbfe9d1b1f5ea80d6,     0x3fe2e780e3e8ea16,     //  -0.80685,   0.59076
+    0xbfe9d91c7007d5a6,     0x3fe2dd5bcffb7616,     //  -0.80775,   0.58952
+    0xbfe9e082edb42472,     0x3fe2d333d34e9bb7,     //  -0.80866,   0.58828
+    0xbfe9e7e56dcb45bd,     0x3fe2c908ef734e57,     //  -0.80956,   0.58704
+    0xbfe9ef43ef29af94,     0x3fe2bedb25faf3ea,     //  -0.81046,    0.5858
+    0xbfe9f69e70ac75bc,     0x3fe2b4aa787764c4,     //  -0.81135,   0.58455
+    0xbfe9fdf4f13149de,     0x3fe2aa76e87aeb58,     //  -0.81225,   0.58331
+    0xbfea05476f967bb5,     0x3fe2a040779843fb,     //  -0.81314,   0.58206
+    0xbfea0c95eabaf937,     0x3fe2960727629ca8,     //  -0.81404,   0.58081
+    0xbfea13e0617e4ec7,     0x3fe28bcaf96d94ba,     //  -0.81493,   0.57956
+    0xbfea1b26d2c0a75e,     0x3fe2818bef4d3cba,     //  -0.81581,   0.57831
+    0xbfea22693d62ccb9,     0x3fe2774a0a961612,     //   -0.8167,   0.57706
+    0xbfea29a7a0462782,     0x3fe26d054cdd12df,     //  -0.81758,   0.57581
+    0xbfea30e1fa4cbf81,     0x3fe262bdb7b795a2,     //  -0.81847,   0.57455
+    0xbfea38184a593bc6,     0x3fe258734cbb7110,     //  -0.81935,    0.5733
+    0xbfea3f4a8f4ee2d2,     0x3fe24e260d7ee7c9,     //  -0.82023,   0.57204
+    0xbfea4678c8119ac8,     0x3fe243d5fb98ac1f,     //   -0.8211,   0.57078
+    0xbfea4da2f385e997,     0x3fe23983189fdfd5,     //  -0.82198,   0.56952
+    0xbfea54c91090f524,     0x3fe22f2d662c13e1,     //  -0.82285,   0.56826
+    0xbfea5beb1e188375,     0x3fe224d4e5d5482e,     //  -0.82372,     0.567
+    0xbfea63091b02fae2,     0x3fe21a799933eb58,     //  -0.82459,   0.56573
+    0xbfea6a230637623b,     0x3fe2101b81e0da78,     //  -0.82546,   0.56447
+    0xbfea7138de9d60f5,     0x3fe205baa17560d6,     //  -0.82632,    0.5632
+    0xbfea784aa31d3f55,     0x3fe1fb56f98b37b8,     //  -0.82718,   0.56193
+    0xbfea7f58529fe69d,     0x3fe1f0f08bbc861b,     //  -0.82805,   0.56066
+    0xbfea8661ec0ee133,     0x3fe1e68759a3e074,     //   -0.8289,   0.55939
+    0xbfea8d676e545ad2,     0x3fe1dc1b64dc4872,     //  -0.82976,   0.55812
+    0xbfea9468d85b20ae,     0x3fe1d1acaf012cc2,     //  -0.83062,   0.55685
+    0xbfea9b66290ea1a3,     0x3fe1c73b39ae68c8,     //  -0.83147,   0.55557
+    0xbfeaa25f5f5aee60,     0x3fe1bcc706804467,     //  -0.83232,   0.55429
+    0xbfeaa9547a2cb98e,     0x3fe1b250171373be,     //  -0.83317,   0.55302
+    0xbfeab045787157ff,     0x3fe1a7d66d0516e6,     //  -0.83402,   0.55174
+    0xbfeab7325916c0d4,     0x3fe19d5a09f2b9b8,     //  -0.83486,   0.55046
+    0xbfeabe1b1b0b8dac,     0x3fe192daef7a5386,     //  -0.83571,   0.54918
+    0xbfeac4ffbd3efac8,     0x3fe188591f3a46e5,     //  -0.83655,   0.54789
+    0xbfeacbe03ea0e73b,     0x3fe17dd49ad16161,     //  -0.83739,   0.54661
+    0xbfead2bc9e21d511,     0x3fe1734d63dedb49,     //  -0.83822,   0.54532
+    0xbfead994dab2e979,     0x3fe168c37c025764,     //  -0.83906,   0.54404
+    0xbfeae068f345ecef,     0x3fe15e36e4dbe2bc,     //  -0.83989,   0.54275
+    0xbfeae738e6cd4b67,     0x3fe153a7a00bf453,     //  -0.84073,   0.54146
+    0xbfeaee04b43c1474,     0x3fe14915af336ceb,     //  -0.84155,   0.54017
+    0xbfeaf4cc5a85fb73,     0x3fe13e8113f396c1,     //  -0.84238,   0.53888
+    0xbfeafb8fd89f57b6,     0x3fe133e9cfee254e,     //  -0.84321,   0.53759
+    0xbfeb024f2d7d24a9,     0x3fe1294fe4c5350a,     //  -0.84403,   0.53629
+    0xbfeb090a58150200,     0x3fe11eb3541b4b22,     //  -0.84485,     0.535
+    0xbfeb0fc1575d33db,     0x3fe114141f935545,     //  -0.84567,    0.5337
+    0xbfeb16742a4ca2f5,     0x3fe1097248d0a956,     //  -0.84649,    0.5324
+    0xbfeb1d22cfdadcc6,     0x3fe0fecdd1770537,     //  -0.84731,    0.5311
+    0xbfeb23cd470013b4,     0x3fe0f426bb2a8e7d,     //  -0.84812,    0.5298
+    0xbfeb2a738eb51f33,     0x3fe0e97d078fd23b,     //  -0.84893,    0.5285
+    0xbfeb3115a5f37bf4,     0x3fe0ded0b84bc4b5,     //  -0.84974,    0.5272
+    0xbfeb37b38bb54c09,     0x3fe0d421cf03c12b,     //  -0.85055,    0.5259
+    0xbfeb3e4d3ef55712,     0x3fe0c9704d5d898f,     //  -0.85136,   0.52459
+    0xbfeb44e2beaf0a61,     0x3fe0bebc34ff4646,     //  -0.85216,   0.52328
+    0xbfeb4b7409de7925,     0x3fe0b405878f85ec,     //  -0.85296,   0.52198
+    0xbfeb52011f805c92,     0x3fe0a94c46b53d0b,     //  -0.85376,   0.52067
+    0xbfeb5889fe921405,     0x3fe09e907417c5e1,     //  -0.85456,   0.51936
+    0xbfeb5f0ea611a532,     0x3fe093d2115ee018,     //  -0.85535,   0.51804
+    0xbfeb658f14fdbc47,     0x3fe089112032b08c,     //  -0.85615,   0.51673
+    0xbfeb6c0b4a55ac17,     0x3fe07e4da23bc102,     //  -0.85694,   0.51542
+    0xbfeb728345196e3e,     0x3fe073879922ffed,     //  -0.85773,    0.5141
+    0xbfeb78f70449a34b,     0x3fe068bf0691c028,     //  -0.85852,   0.51279
+    0xbfeb7f6686e792ea,     0x3fe05df3ec31b8b6,     //   -0.8593,   0.51147
+    0xbfeb85d1cbf52c02,     0x3fe053264bad0483,     //  -0.86009,   0.51015
+    0xbfeb8c38d27504e9,     0x3fe0485626ae221a,     //  -0.86087,   0.50883
+    0xbfeb929b996a5b7f,     0x3fe03d837edff370,     //  -0.86165,   0.50751
+    0xbfeb98fa1fd9155e,     0x3fe032ae55edbd95,     //  -0.86242,   0.50619
+    0xbfeb9f5464c5bffc,     0x3fe027d6ad83287e,     //   -0.8632,   0.50486
+    0xbfeba5aa673590d2,     0x3fe01cfc874c3eb7,     //  -0.86397,   0.50354
+    0xbfebabfc262e6586,     0x3fe0121fe4f56d2c,     //  -0.86474,   0.50221
+    0xbfebb249a0b6c40d,     0x3fe00740c82b82e0,     //  -0.86551,   0.50089
+    0xbfebb892d5d5dad5,     0x3fdff8be6537615e,     //  -0.86628,   0.49956
+    0xbfebbed7c49380ea,     0x3fdfe2f64be7120f,     //  -0.86705,   0.49823
+    0xbfebc5186bf8361d,     0x3fdfcd2947c1ff57,     //  -0.86781,    0.4969
+    0xbfebcb54cb0d2327,     0x3fdfb7575c24d2de,     //  -0.86857,   0.49557
+    0xbfebd18ce0dc19d6,     0x3fdfa1808c6cf7e0,     //  -0.86933,   0.49423
+    0xbfebd7c0ac6f952a,     0x3fdf8ba4dbf89aba,     //  -0.87009,    0.4929
+    0xbfebddf02cd2b983,     0x3fdf75c44e26a852,     //  -0.87084,   0.49156
+    0xbfebe41b611154c1,     0x3fdf5fdee656cda3,     //   -0.8716,   0.49023
+    0xbfebea424837de6d,     0x3fdf49f4a7e97729,     //  -0.87235,   0.48889
+    0xbfebf064e15377dd,     0x3fdf3405963fd068,     //  -0.87309,   0.48755
+    0xbfebf6832b71ec5b,     0x3fdf1e11b4bbc35c,     //  -0.87384,   0.48621
+    0xbfebfc9d25a1b147,     0x3fdf081906bff7fd,     //  -0.87459,   0.48487
+    0xbfec02b2cef1e641,     0x3fdef21b8fafd3b5,     //  -0.87533,   0.48353
+    0xbfec08c426725549,     0x3fdedc1952ef78d5,     //  -0.87607,   0.48218
+    0xbfec0ed12b3372e9,     0x3fdec61253e3c61b,     //  -0.87681,   0.48084
+    0xbfec14d9dc465e58,     0x3fdeb00695f25620,     //  -0.87755,   0.47949
+    0xbfec1ade38bce19b,     0x3fde99f61c817eda,     //  -0.87828,   0.47815
+    0xbfec20de3fa971b0,     0x3fde83e0eaf85113,     //  -0.87901,    0.4768
+    0xbfec26d9f01f2eaf,     0x3fde6dc704be97e2,     //  -0.87974,   0.47545
+    0xbfec2cd14931e3f1,     0x3fde57a86d3cd824,     //  -0.88047,    0.4741
+    0xbfec32c449f60831,     0x3fde418527dc4ffa,     //   -0.8812,   0.47275
+    0xbfec38b2f180bdb1,     0x3fde2b5d3806f63b,     //  -0.88192,    0.4714
+    0xbfec3e9d3ee7d262,     0x3fde1530a12779f4,     //  -0.88264,   0.47004
+    0xbfec44833141c004,     0x3fddfeff66a941de,     //  -0.88336,   0.46869
+    0xbfec4a64c7a5ac4c,     0x3fdde8c98bf86bd6,     //  -0.88408,   0.46733
+    0xbfec5042012b6907,     0x3fddd28f1481cc58,     //   -0.8848,   0.46598
+    0xbfec561adceb743e,     0x3fddbc5003b2edf8,     //  -0.88551,   0.46462
+    0xbfec5bef59fef85a,     0x3fdda60c5cfa10d8,     //  -0.88622,   0.46326
+    0xbfec61bf777fcc48,     0x3fdd8fc423c62a25,     //  -0.88693,    0.4619
+    0xbfec678b3488739b,     0x3fdd79775b86e389,     //  -0.88764,   0.46054
+    0xbfec6d5290341eb2,     0x3fdd632607ac9aa9,     //  -0.88835,   0.45918
+    0xbfec7315899eaad7,     0x3fdd4cd02ba8609c,     //  -0.88905,   0.45781
+    0xbfec78d41fe4a267,     0x3fdd3675caebf962,     //  -0.88975,   0.45645
+    0xbfec7e8e52233cf3,     0x3fdd2016e8e9db5b,     //  -0.89045,   0.45508
+    0xbfec84441f785f61,     0x3fdd09b389152ec1,     //  -0.89115,   0.45372
+    0xbfec89f587029c13,     0x3fdcf34baee1cd21,     //  -0.89184,   0.45235
+    0xbfec8fa287e13305,     0x3fdcdcdf5dc440ce,     //  -0.89253,   0.45098
+    0xbfec954b213411f5,     0x3fdcc66e9931c45d,     //  -0.89322,   0.44961
+    0xbfec9aef521bd480,     0x3fdcaff964a0421d,     //  -0.89391,   0.44824
+    0xbfeca08f19b9c449,     0x3fdc997fc3865388,     //   -0.8946,   0.44687
+    0xbfeca62a772fd919,     0x3fdc8301b95b40c2,     //  -0.89528,    0.4455
+    0xbfecabc169a0b901,     0x3fdc6c7f4997000a,     //  -0.89597,   0.44412
+    0xbfecb153f02fb87d,     0x3fdc55f877b23537,     //  -0.89665,   0.44275
+    0xbfecb6e20a00da99,     0x3fdc3f6d47263129,     //  -0.89732,   0.44137
+    0xbfecbc6bb638d10b,     0x3fdc28ddbb6cf145,     //    -0.898,   0.43999
+    0xbfecc1f0f3fcfc5c,     0x3fdc1249d8011ee7,     //  -0.89867,   0.43862
+    0xbfecc771c2736c09,     0x3fdbfbb1a05e0edc,     //  -0.89935,   0.43724
+    0xbfecccee20c2de9f,     0x3fdbe51517ffc0d9,     //  -0.90002,   0.43586
+    0xbfecd2660e12c1e6,     0x3fdbce744262deee,     //  -0.90068,   0.43448
+    0xbfecd7d9898b32f6,     0x3fdbb7cf2304bd01,     //  -0.90135,   0.43309
+    0xbfecdd489254fe65,     0x3fdba125bd63583e,     //  -0.90201,   0.43171
+    0xbfece2b32799a060,     0x3fdb8a7814fd5693,     //  -0.90267,   0.43033
+    0xbfece819488344ce,     0x3fdb73c62d520624,     //  -0.90333,   0.42894
+    0xbfeced7af43cc773,     0x3fdb5d1009e15cc0,     //  -0.90399,   0.42756
+    0xbfecf2d829f1b40e,     0x3fdb4655ae2bf757,     //  -0.90464,   0.42617
+    0xbfecf830e8ce467b,     0x3fdb2f971db31972,     //   -0.9053,   0.42478
+    0xbfecfd852fff6ad4,     0x3fdb18d45bf8aca6,     //  -0.90595,   0.42339
+    0xbfed02d4feb2bd92,     0x3fdb020d6c7f4009,     //   -0.9066,     0.422
+    0xbfed082054168bac,     0x3fdaeb4252ca07ab,     //  -0.90724,   0.42061
+    0xbfed0d672f59d2b9,     0x3fdad473125cdc08,     //  -0.90789,   0.41922
+    0xbfed12a98fac410c,     0x3fdabd9faebc3980,     //  -0.90853,   0.41782
+    0xbfed17e7743e35dc,     0x3fdaa6c82b6d3fc9,     //  -0.90917,   0.41643
+    0xbfed1d20dc40c15c,     0x3fda8fec8bf5b166,     //  -0.90981,   0.41503
+    0xbfed2255c6e5a4e1,     0x3fda790cd3dbf31a,     //  -0.91044,   0.41364
+    0xbfed2786335f52fc,     0x3fda622906a70b63,     //  -0.91107,   0.41224
+    0xbfed2cb220e0ef9f,     0x3fda4b4127dea1e4,     //  -0.91171,   0.41084
+    0xbfed31d98e9e503a,     0x3fda34553b0afee5,     //  -0.91234,   0.40944
+    0xbfed36fc7bcbfbdc,     0x3fda1d6543b50ac0,     //  -0.91296,   0.40804
+    0xbfed3c1ae79f2b4e,     0x3fda067145664d57,     //  -0.91359,   0.40664
+    0xbfed4134d14dc93a,     0x3fd9ef7943a8ed8a,     //  -0.91421,   0.40524
+    0xbfed464a380e7242,     0x3fd9d87d4207b0ab,     //  -0.91483,   0.40384
+    0xbfed4b5b1b187524,     0x3fd9c17d440df9f2,     //  -0.91545,   0.40243
+    0xbfed506779a3d2d9,     0x3fd9aa794d47c9ee,     //  -0.91606,   0.40103
+    0xbfed556f52e93eb1,     0x3fd993716141bdfe,     //  -0.91668,   0.39962
+    0xbfed5a72a6221e73,     0x3fd97c6583890fc2,     //  -0.91729,   0.39822
+    0xbfed5f7172888a7f,     0x3fd96555b7ab948f,     //   -0.9179,   0.39681
+    0xbfed646bb7574de5,     0x3fd94e420137bce3,     //  -0.91851,    0.3954
+    0xbfed696173c9e68b,     0x3fd9372a63bc93d7,     //  -0.91911,   0.39399
+    0xbfed6e52a71c8547,     0x3fd9200ee2c9be97,     //  -0.91972,   0.39258
+    0xbfed733f508c0dff,     0x3fd908ef81ef7bd1,     //  -0.92032,   0.39117
+    0xbfed78276f5617c6,     0x3fd8f1cc44bea329,     //  -0.92092,   0.38976
+    0xbfed7d0b02b8ecf9,     0x3fd8daa52ec8a4af,     //  -0.92151,   0.38835
+    0xbfed81ea09f38b63,     0x3fd8c37a439f884f,     //  -0.92211,   0.38693
+    0xbfed86c48445a450,     0x3fd8ac4b86d5ed44,     //   -0.9227,   0.38552
+    0xbfed8b9a70ef9cb4,     0x3fd89518fbff098e,     //  -0.92329,    0.3841
+    0xbfed906bcf328d46,     0x3fd87de2a6aea963,     //  -0.92388,   0.38268
+    0xbfed95389e50429b,     0x3fd866a88a792ea0,     //  -0.92447,   0.38127
+    0xbfed9a00dd8b3d46,     0x3fd84f6aaaf3903f,     //  -0.92505,   0.37985
+    0xbfed9ec48c26b1f3,     0x3fd838290bb359c8,     //  -0.92563,   0.37843
+    0xbfeda383a9668988,     0x3fd820e3b04eaac4,     //  -0.92621,   0.37701
+    0xbfeda83e348f613b,     0x3fd8099a9c5c362d,     //  -0.92679,   0.37559
+    0xbfedacf42ce68ab9,     0x3fd7f24dd37341e3,     //  -0.92736,   0.37416
+    0xbfedb1a591b20c38,     0x3fd7dafd592ba621,     //  -0.92794,   0.37274
+    0xbfedb6526238a09b,     0x3fd7c3a9311dcce7,     //  -0.92851,   0.37132
+    0xbfedbafa9dc1b78d,     0x3fd7ac515ee2b172,     //  -0.92907,   0.36989
+    0xbfedbf9e4395759a,     0x3fd794f5e613dfae,     //  -0.92964,   0.36847
+    0xbfedc43d52fcb453,     0x3fd77d96ca4b73a6,     //  -0.93021,   0.36704
+    0xbfedc8d7cb410260,     0x3fd766340f2418f6,     //  -0.93077,   0.36561
+    0xbfedcd6dabaca3a5,     0x3fd74ecdb8390a3e,     //  -0.93133,   0.36418
+    0xbfedd1fef38a915a,     0x3fd73763c9261092,     //  -0.93188,   0.36276
+    0xbfedd68ba2267a25,     0x3fd71ff6458782ec,     //  -0.93244,   0.36133
+    0xbfeddb13b6ccc23d,     0x3fd7088530fa459e,     //  -0.93299,    0.3599
+    0xbfeddf9730ca837b,     0x3fd6f1108f1bc9c5,     //  -0.93354,   0.35846
+    0xbfede4160f6d8d81,     0x3fd6d998638a0cb5,     //  -0.93409,   0.35703
+    0xbfede890520465ce,     0x3fd6c21cb1e39771,     //  -0.93464,    0.3556
+    0xbfeded05f7de47da,     0x3fd6aa9d7dc77e16,     //  -0.93518,   0.35416
+    0xbfedf177004b2534,     0x3fd6931acad55f51,     //  -0.93573,   0.35273
+    0xbfedf5e36a9ba59c,     0x3fd67b949cad63ca,     //  -0.93627,   0.35129
+    0xbfedfa4b3621271d,     0x3fd6640af6f03d9e,     //   -0.9368,   0.34986
+    0xbfedfeae622dbe2b,     0x3fd64c7ddd3f27c6,     //  -0.93734,   0.34842
+    0xbfee030cee1435b8,     0x3fd634ed533be58e,     //  -0.93787,   0.34698
+    0xbfee0766d9280f54,     0x3fd61d595c88c203,     //   -0.9384,   0.34554
+    0xbfee0bbc22bd8349,     0x3fd605c1fcc88f63,     //  -0.93893,    0.3441
+    0xbfee100cca2980ac,     0x3fd5ee27379ea693,     //  -0.93946,   0.34266
+    0xbfee1458cec1ad83,     0x3fd5d68910aee686,     //  -0.93998,   0.34122
+    0xbfee18a02fdc66d9,     0x3fd5bee78b9db3b6,     //  -0.94051,   0.33978
+    0xbfee1ce2ecd0c0d8,     0x3fd5a742ac0ff78d,     //  -0.94103,   0.33833
+    0xbfee212104f686e5,     0x3fd58f9a75ab1fdd,     //  -0.94154,   0.33689
+    0xbfee255a77a63bb8,     0x3fd577eeec151e47,     //  -0.94206,   0.33545
+    0xbfee298f4439197a,     0x3fd5604012f467b4,     //  -0.94257,     0.334
+    0xbfee2dbf6a0911d9,     0x3fd5488dedeff3be,     //  -0.94308,   0.33255
+    0xbfee31eae870ce25,     0x3fd530d880af3c24,     //  -0.94359,   0.33111
+    0xbfee3611becbaf69,     0x3fd5191fceda3c35,     //   -0.9441,   0.32966
+    0xbfee3a33ec75ce85,     0x3fd50163dc197047,     //   -0.9446,   0.32821
+    0xbfee3e5170cbfc46,     0x3fd4e9a4ac15d520,     //  -0.94511,   0.32676
+    0xbfee426a4b2bc17e,     0x3fd4d1e24278e76a,     //  -0.94561,   0.32531
+    0xbfee467e7af35f23,     0x3fd4ba1ca2eca31c,     //  -0.94611,   0.32386
+    0xbfee4a8dff81ce5e,     0x3fd4a253d11b82f3,     //   -0.9466,   0.32241
+    0xbfee4e98d836c0af,     0x3fd48a87d0b07fd7,     //  -0.94709,   0.32096
+    0xbfee529f04729ffc,     0x3fd472b8a5571054,     //  -0.94759,    0.3195
+    0xbfee56a083968eb1,     0x3fd45ae652bb2800,     //  -0.94807,   0.31805
+    0xbfee5a9d550467d3,     0x3fd44310dc8936f0,     //  -0.94856,   0.31659
+    0xbfee5e95781ebf1c,     0x3fd42b38466e2928,     //  -0.94905,   0.31514
+    0xbfee6288ec48e112,     0x3fd4135c94176602,     //  -0.94953,   0.31368
+    0xbfee6677b0e6d31e,     0x3fd3fb7dc932cfa4,     //  -0.95001,   0.31222
+    0xbfee6a61c55d53a7,     0x3fd3e39be96ec271,     //  -0.95049,   0.31077
+    0xbfee6e472911da27,     0x3fd3cbb6f87a146e,     //  -0.95096,   0.30931
+    0xbfee7227db6a9744,     0x3fd3b3cefa0414b7,     //  -0.95144,   0.30785
+    0xbfee7603dbce74e9,     0x3fd39be3f1bc8aef,     //  -0.95191,   0.30639
+    0xbfee79db29a5165a,     0x3fd383f5e353b6aa,     //  -0.95238,   0.30493
+    0xbfee7dadc456d850,     0x3fd36c04d27a4edf,     //  -0.95284,   0.30347
+    0xbfee817bab4cd10d,     0x3fd35410c2e18152,     //  -0.95331,   0.30201
+    0xbfee8544ddf0d075,     0x3fd33c19b83af207,     //  -0.95377,   0.30054
+    0xbfee89095bad6025,     0x3fd3241fb638baaf,     //  -0.95423,   0.29908
+    0xbfee8cc923edc388,     0x3fd30c22c08d6a13,     //  -0.95469,   0.29762
+    0xbfee9084361df7f3,     0x3fd2f422daec0386,     //  -0.95514,   0.29615
+    0xbfee943a91aab4b4,     0x3fd2dc200907fe51,     //  -0.95559,   0.29469
+    0xbfee97ec36016b30,     0x3fd2c41a4e954520,     //  -0.95605,   0.29322
+    0xbfee9b99229046f8,     0x3fd2ac11af483572,     //  -0.95649,   0.29175
+    0xbfee9f4156c62dda,     0x3fd294062ed59f05,     //  -0.95694,   0.29028
+    0xbfeea2e4d212c000,     0x3fd27bf7d0f2c346,     //  -0.95738,   0.28882
+    0xbfeea68393e65800,     0x3fd263e6995554ba,     //  -0.95783,   0.28735
+    0xbfeeaa1d9bb20af3,     0x3fd24bd28bb37672,     //  -0.95827,   0.28588
+    0xbfeeadb2e8e7a88e,     0x3fd233bbabc3bb72,     //   -0.9587,   0.28441
+    0xbfeeb1437af9bb34,     0x3fd21ba1fd3d2623,     //  -0.95914,   0.28294
+    0xbfeeb4cf515b8811,     0x3fd2038583d727bd,     //  -0.95957,   0.28146
+    0xbfeeb8566b810f2a,     0x3fd1eb6643499fbb,     //     -0.96,   0.27999
+    0xbfeebbd8c8df0b74,     0x3fd1d3443f4cdb3d,     //  -0.96043,   0.27852
+    0xbfeebf5668eaf2ef,     0x3fd1bb1f7b999480,     //  -0.96086,   0.27705
+    0xbfeec2cf4b1af6b2,     0x3fd1a2f7fbe8f243,     //  -0.96128,   0.27557
+    0xbfeec6436ee60309,     0x3fd18acdc3f4873a,     //   -0.9617,    0.2741
+    0xbfeec9b2d3c3bf84,     0x3fd172a0d7765177,     //  -0.96212,   0.27262
+    0xbfeecd1d792c8f10,     0x3fd15a713a28b9d9,     //  -0.96254,   0.27115
+    0xbfeed0835e999009,     0x3fd1423eefc69378,     //  -0.96295,   0.26967
+    0xbfeed3e483849c51,     0x3fd12a09fc0b1b12,     //  -0.96337,   0.26819
+    0xbfeed740e7684963,     0x3fd111d262b1f677,     //  -0.96378,   0.26671
+    0xbfeeda9889bfe86a,     0x3fd0f998277733f7,     //  -0.96418,   0.26523
+    0xbfeeddeb6a078651,     0x3fd0e15b4e1749cd,     //  -0.96459,   0.26375
+    0xbfeee13987bbebdc,     0x3fd0c91bda4f158d,     //  -0.96499,   0.26227
+    0xbfeee482e25a9dbc,     0x3fd0b0d9cfdbdb90,     //  -0.96539,   0.26079
+    0xbfeee7c77961dc9e,     0x3fd09895327b465e,     //  -0.96579,   0.25931
+    0xbfeeeb074c50a544,     0x3fd0804e05eb661e,     //  -0.96619,   0.25783
+    0xbfeeee425aa6b09a,     0x3fd068044deab002,     //  -0.96658,   0.25635
+    0xbfeef178a3e473c2,     0x3fd04fb80e37fdae,     //  -0.96698,   0.25487
+    0xbfeef4aa278b2032,     0x3fd037694a928cac,     //  -0.96737,   0.25338
+    0xbfeef7d6e51ca3c0,     0x3fd01f1806b9fdd2,     //  -0.96775,    0.2519
+    0xbfeefafedc1ba8b7,     0x3fd006c4466e54af,     //  -0.96814,   0.25041
+    0xbfeefe220c0b95ec,     0x3fcfdcdc1adfedf8,     //  -0.96852,   0.24893
+    0xbfef014074708ed3,     0x3fcfac2abeff57ff,     //   -0.9689,   0.24744
+    0xbfef045a14cf738c,     0x3fcf7b7480bd3801,     //  -0.96928,   0.24596
+    0xbfef076eecade0fa,     0x3fcf4ab9679c9f5c,     //  -0.96966,   0.24447
+    0xbfef0a7efb9230d7,     0x3fcf19f97b215f1a,     //  -0.97003,   0.24298
+    0xbfef0d8a410379c5,     0x3fcee934c2d006c7,     //   -0.9704,   0.24149
+    0xbfef1090bc898f5f,     0x3fceb86b462de348,     //  -0.97077,      0.24
+    0xbfef13926dad024e,     0x3fce879d0cc0fdaf,     //  -0.97114,   0.23851
+    0xbfef168f53f7205d,     0x3fce56ca1e101a1b,     //   -0.9715,   0.23702
+    0xbfef19876ef1f486,     0x3fce25f281a2b684,     //  -0.97187,   0.23553
+    0xbfef1c7abe284708,     0x3fcdf5163f01099a,     //  -0.97223,   0.23404
+    0xbfef1f6941259d7a,     0x3fcdc4355db40195,     //  -0.97258,   0.23255
+    0xbfef2252f7763ada,     0x3fcd934fe5454311,     //  -0.97294,   0.23106
+    0xbfef2537e0a71f9f,     0x3fcd6265dd3f27e3,     //  -0.97329,   0.22957
+    0xbfef2817fc4609ce,     0x3fcd31774d2cbdee,     //  -0.97364,   0.22807
+    0xbfef2af349e17507,     0x3fcd00843c99c5f9,     //  -0.97399,   0.22658
+    0xbfef2dc9c9089a9d,     0x3fcccf8cb312b286,     //  -0.97434,   0.22508
+    0xbfef309b794b719f,     0x3fcc9e90b824a6a9,     //  -0.97468,   0.22359
+    0xbfef33685a3aaef0,     0x3fcc6d90535d74dc,     //  -0.97503,   0.22209
+    0xbfef36306b67c556,     0x3fcc3c8b8c4b9dd7,     //  -0.97536,    0.2206
+    0xbfef38f3ac64e589,     0x3fcc0b826a7e4f63,     //   -0.9757,    0.2191
+    0xbfef3bb21cc4fe47,     0x3fcbda74f5856330,     //  -0.97604,    0.2176
+    0xbfef3e6bbc1bbc65,     0x3fcba96334f15dad,     //  -0.97637,   0.21611
+    0xbfef412089fd8adc,     0x3fcb784d30536cda,     //   -0.9767,   0.21461
+    0xbfef43d085ff92dd,     0x3fcb4732ef3d6722,     //  -0.97703,   0.21311
+    0xbfef467bafb7bbe0,     0x3fcb16147941ca2a,     //  -0.97735,   0.21161
+    0xbfef492206bcabb4,     0x3fcae4f1d5f3b9ab,     //  -0.97768,   0.21011
+    0xbfef4bc38aa5c694,     0x3fcab3cb0ce6fe44,     //    -0.978,   0.20861
+    0xbfef4e603b0b2f2d,     0x3fca82a025b00451,     //  -0.97832,   0.20711
+    0xbfef50f81785c6b9,     0x3fca517127e3dabc,     //  -0.97863,   0.20561
+    0xbfef538b1faf2d07,     0x3fca203e1b1831da,     //  -0.97895,   0.20411
+    0xbfef56195321c090,     0x3fc9ef0706e35a35,     //  -0.97926,   0.20261
+    0xbfef58a2b1789e84,     0x3fc9bdcbf2dc4366,     //  -0.97957,    0.2011
+    0xbfef5b273a4fa2d9,     0x3fc98c8ce69a7aec,     //  -0.97988,    0.1996
+    0xbfef5da6ed43685d,     0x3fc95b49e9b62af9,     //  -0.98018,    0.1981
+    0xbfef6021c9f148c2,     0x3fc92a0303c8194f,     //  -0.98048,   0.19659
+    0xbfef6297cff75cb0,     0x3fc8f8b83c69a60a,     //  -0.98079,   0.19509
+    0xbfef6508fef47bd5,     0x3fc8c7699b34ca7e,     //  -0.98108,   0.19359
+    0xbfef677556883cee,     0x3fc8961727c41804,     //  -0.98138,   0.19208
+    0xbfef69dcd652f5de,     0x3fc864c0e9b2b6cf,     //  -0.98167,   0.19057
+    0xbfef6c3f7df5bbb7,     0x3fc83366e89c64c5,     //  -0.98196,   0.18907
+    0xbfef6e9d4d1262ca,     0x3fc802092c1d744b,     //  -0.98225,   0.18756
+    0xbfef70f6434b7eb7,     0x3fc7d0a7bbd2cb1b,     //  -0.98254,   0.18606
+    0xbfef734a60446279,     0x3fc79f429f59e11d,     //  -0.98282,   0.18455
+    0xbfef7599a3a12077,     0x3fc76dd9de50bf31,     //  -0.98311,   0.18304
+    0xbfef77e40d068a90,     0x3fc73c6d8055fe0a,     //  -0.98339,   0.18153
+    0xbfef7a299c1a322a,     0x3fc70afd8d08c4ff,     //  -0.98366,   0.18002
+    0xbfef7c6a50826840,     0x3fc6d98a0c08c8da,     //  -0.98394,   0.17851
+    0xbfef7ea629e63d6e,     0x3fc6a81304f64ab2,     //  -0.98421,     0.177
+    0xbfef80dd27ed8204,     0x3fc676987f7216b8,     //  -0.98448,   0.17549
+    0xbfef830f4a40c60c,     0x3fc6451a831d830d,     //  -0.98475,   0.17398
+    0xbfef853c9089595e,     0x3fc61399179a6e94,     //  -0.98501,   0.17247
+    0xbfef8764fa714ba9,     0x3fc5e214448b3fc6,     //  -0.98528,   0.17096
+    0xbfef898887a36c84,     0x3fc5b08c1192e381,     //  -0.98554,   0.16945
+    0xbfef8ba737cb4b78,     0x3fc57f008654cbde,     //   -0.9858,   0.16794
+    0xbfef8dc10a95380d,     0x3fc54d71aa74ef02,     //  -0.98605,   0.16643
+    0xbfef8fd5ffae41db,     0x3fc51bdf8597c5f2,     //  -0.98631,   0.16491
+    0xbfef91e616c43891,     0x3fc4ea4a1f624b61,     //  -0.98656,    0.1634
+    0xbfef93f14f85ac08,     0x3fc4b8b17f79fa88,     //  -0.98681,   0.16189
+    0xbfef95f7a9a1ec47,     0x3fc48715ad84cdf5,     //  -0.98706,   0.16037
+    0xbfef97f924c9099b,     0x3fc45576b1293e5a,     //   -0.9873,   0.15886
+    0xbfef99f5c0abd496,     0x3fc423d4920e4166,     //  -0.98754,   0.15734
+    0xbfef9bed7cfbde29,     0x3fc3f22f57db4893,     //  -0.98778,   0.15583
+    0xbfef9de0596b77a3,     0x3fc3c0870a383ff6,     //  -0.98802,   0.15431
+    0xbfef9fce55adb2c8,     0x3fc38edbb0cd8d14,     //  -0.98826,    0.1528
+    0xbfefa1b7717661d5,     0x3fc35d2d53440db2,     //  -0.98849,   0.15128
+    0xbfefa39bac7a1791,     0x3fc32b7bf94516a7,     //  -0.98872,   0.14976
+    0xbfefa57b066e2754,     0x3fc2f9c7aa7a72af,     //  -0.98895,   0.14825
+    0xbfefa7557f08a517,     0x3fc2c8106e8e613a,     //  -0.98918,   0.14673
+    0xbfefa92b1600657c,     0x3fc296564d2b953e,     //   -0.9894,   0.14521
+    0xbfefaafbcb0cfddc,     0x3fc264994dfd340a,     //  -0.98962,    0.1437
+    0xbfefacc79de6c44f,     0x3fc232d978aed413,     //  -0.98984,   0.14218
+    0xbfefae8e8e46cfbb,     0x3fc20116d4ec7bce,     //  -0.99006,   0.14066
+    0xbfefb0509be6f7db,     0x3fc1cf516a62a077,     //  -0.99027,   0.13914
+    0xbfefb20dc681d54d,     0x3fc19d8940be24e7,     //  -0.99049,   0.13762
+    0xbfefb3c60dd2c199,     0x3fc16bbe5fac5865,     //   -0.9907,    0.1361
+    0xbfefb5797195d741,     0x3fc139f0cedaf576,     //   -0.9909,   0.13458
+    0xbfefb727f187f1c7,     0x3fc1082095f820b0,     //  -0.99111,   0.13306
+    0xbfefb8d18d66adb7,     0x3fc0d64dbcb26786,     //  -0.99131,   0.13154
+    0xbfefba7644f068b5,     0x3fc0a4784ab8bf1d,     //  -0.99151,   0.13002
+    0xbfefbc1617e44186,     0x3fc072a047ba831d,     //  -0.99171,    0.1285
+    0xbfefbdb106021816,     0x3fc040c5bb67747e,     //  -0.99191,   0.12698
+    0xbfefbf470f0a8d88,     0x3fc00ee8ad6fb85b,     //   -0.9921,   0.12545
+    0xbfefc0d832bf043a,     0x3fbfba124b07ad85,     //  -0.99229,   0.12393
+    0xbfefc26470e19fd3,     0x3fbf564e56a9730e,     //  -0.99248,   0.12241
+    0xbfefc3ebc935454c,     0x3fbef2858d27561b,     //  -0.99267,   0.12089
+    0xbfefc56e3b7d9af6,     0x3fbe8eb7fde4aa3e,     //  -0.99285,   0.11937
+    0xbfefc6ebc77f0887,     0x3fbe2ae5b8457f77,     //  -0.99303,   0.11784
+    0xbfefc8646cfeb721,     0x3fbdc70ecbae9fc8,     //  -0.99321,   0.11632
+    0xbfefc9d82bc2915e,     0x3fbd633347858ce4,     //  -0.99339,   0.11479
+    0xbfefcb4703914354,     0x3fbcff533b307dc1,     //  -0.99356,   0.11327
+    0xbfefccb0f4323aa3,     0x3fbc9b6eb6165c42,     //  -0.99374,   0.11175
+    0xbfefce15fd6da67b,     0x3fbc3785c79ec2d5,     //  -0.99391,   0.11022
+    0xbfefcf761f0c77a3,     0x3fbbd3987f31fa0e,     //  -0.99407,    0.1087
+    0xbfefd0d158d86087,     0x3fbb6fa6ec38f64c,     //  -0.99424,   0.10717
+    0xbfefd227aa9bd53b,     0x3fbb0bb11e1d5559,     //   -0.9944,   0.10565
+    0xbfefd37914220b84,     0x3fbaa7b724495c04,     //  -0.99456,   0.10412
+    0xbfefd4c59536fae4,     0x3fba43b90e27f3c4,     //  -0.99472,    0.1026
+    0xbfefd60d2da75c9e,     0x3fb9dfb6eb24a85c,     //  -0.99488,   0.10107
+    0xbfefd74fdd40abbf,     0x3fb97bb0caaba56f,     //  -0.99503,  0.099544
+    0xbfefd88da3d12526,     0x3fb917a6bc29b42c,     //  -0.99518,  0.098017
+    0xbfefd9c68127c78c,     0x3fb8b398cf0c38e0,     //  -0.99533,   0.09649
+    0xbfefdafa7514538c,     0x3fb84f8712c130a0,     //  -0.99548,  0.094963
+    0xbfefdc297f674ba9,     0x3fb7eb7196b72ee4,     //  -0.99563,  0.093436
+    0xbfefdd539ff1f456,     0x3fb787586a5d5b21,     //  -0.99577,  0.091909
+    0xbfefde78d68653fd,     0x3fb7233b9d236e71,     //  -0.99591,  0.090381
+    0xbfefdf9922f73307,     0x3fb6bf1b3e79b129,     //  -0.99604,  0.088854
+    0xbfefe0b485181be3,     0x3fb65af75dd0f87b,     //  -0.99618,  0.087326
+    0xbfefe1cafcbd5b09,     0x3fb5f6d00a9aa419,     //  -0.99631,  0.085797
+    0xbfefe2dc89bbff08,     0x3fb592a554489bc8,     //  -0.99644,  0.084269
+    0xbfefe3e92be9d886,     0x3fb52e774a4d4d0a,     //  -0.99657,   0.08274
+    0xbfefe4f0e31d7a4a,     0x3fb4ca45fc1ba8b6,     //   -0.9967,  0.081211
+    0xbfefe5f3af2e3940,     0x3fb4661179272096,     //  -0.99682,  0.079682
+    0xbfefe6f18ff42c84,     0x3fb401d9d0e3a507,     //  -0.99694,  0.078153
+    0xbfefe7ea85482d60,     0x3fb39d9f12c5a299,     //  -0.99706,  0.076624
+    0xbfefe8de8f03d75c,     0x3fb339614e41ffa5,     //  -0.99718,  0.075094
+    0xbfefe9cdad01883a,     0x3fb2d52092ce19f6,     //  -0.99729,  0.073565
+    0xbfefeab7df1c6005,     0x3fb270dcefdfc45b,     //   -0.9974,  0.072035
+    0xbfefeb9d2530410f,     0x3fb20c9674ed444c,     //  -0.99751,  0.070505
+    0xbfefec7d7f19cffc,     0x3fb1a84d316d4f8a,     //  -0.99762,  0.068974
+    0xbfefed58ecb673c4,     0x3fb1440134d709b2,     //  -0.99772,  0.067444
+    0xbfefee2f6de455ba,     0x3fb0dfb28ea201e6,     //  -0.99783,  0.065913
+    0xbfefef0102826191,     0x3fb07b614e463064,     //  -0.99793,  0.064383
+    0xbfefefcdaa704562,     0x3fb0170d833bf421,     //  -0.99802,  0.062852
+    0xbfeff095658e71ad,     0x3faf656e79f820e0,     //  -0.99812,  0.061321
+    0xbfeff15833be1965,     0x3fae9cbd15ff5527,     //  -0.99821,   0.05979
+    0xbfeff21614e131ed,     0x3fadd406f9808ec8,     //   -0.9983,  0.058258
+    0xbfeff2cf08da7321,     0x3fad0b4c436f91d0,     //  -0.99839,  0.056727
+    0xbfeff3830f8d575c,     0x3fac428d12c0d7e3,     //  -0.99848,  0.055195
+    0xbfeff43228de1b77,     0x3fab79c986698b78,     //  -0.99856,  0.053664
+    0xbfeff4dc54b1bed3,     0x3faab101bd5f8317,     //  -0.99864,  0.052132
+    0xbfeff58192ee0358,     0x3fa9e835d6993c87,     //  -0.99872,    0.0506
+    0xbfeff621e3796d7e,     0x3fa91f65f10dd814,     //   -0.9988,  0.049068
+    0xbfeff6bd463b444d,     0x3fa856922bb513c1,     //  -0.99887,  0.047535
+    0xbfeff753bb1b9164,     0x3fa78dbaa5874685,     //  -0.99894,  0.046003
+    0xbfeff7e5420320f9,     0x3fa6c4df7d7d5b84,     //  -0.99901,  0.044471
+    0xbfeff871dadb81df,     0x3fa5fc00d290cd43,     //  -0.99908,  0.042938
+    0xbfeff8f9858f058b,     0x3fa5331ec3bba0eb,     //  -0.99914,  0.041406
+    0xbfeff97c4208c014,     0x3fa46a396ff86179,     //   -0.9992,  0.039873
+    0xbfeff9fa10348837,     0x3fa3a150f6421afc,     //  -0.99926,   0.03834
+    0xbfeffa72effef75d,     0x3fa2d865759455cd,     //  -0.99932,  0.036807
+    0xbfeffae6e1556998,     0x3fa20f770ceb11c6,     //  -0.99938,  0.035274
+    0xbfeffb55e425fdae,     0x3fa14685db42c17e,     //  -0.99943,  0.033741
+    0xbfeffbbff85f9515,     0x3fa07d91ff984580,     //  -0.99948,  0.032208
+    0xbfeffc251df1d3f8,     0x3f9f693731d1cf01,     //  -0.99953,  0.030675
+    0xbfeffc8554cd213a,     0x3f9dd7458c64ab39,     //  -0.99958,  0.029142
+    0xbfeffce09ce2a679,     0x3f9c454f4ce53b1c,     //  -0.99962,  0.027608
+    0xbfeffd36f624500c,     0x3f9ab354b1504fca,     //  -0.99966,  0.026075
+    0xbfeffd886084cd0d,     0x3f992155f7a3667e,     //   -0.9997,  0.024541
+    0xbfeffdd4dbf78f52,     0x3f978f535ddc9f03,     //  -0.99974,  0.023008
+    0xbfeffe1c6870cb77,     0x3f95fd4d21fab226,     //  -0.99977,  0.021474
+    0xbfeffe5f05e578db,     0x3f946b4381fce81c,     //   -0.9998,   0.01994
+    0xbfeffe9cb44b51a1,     0x3f92d936bbe30efd,     //  -0.99983,  0.018407
+    0xbfeffed57398d2b7,     0x3f9147270dad7132,     //  -0.99986,  0.016873
+    0xbfefff0943c53bd1,     0x3f8f6a296ab997ca,     //  -0.99988,  0.015339
+    0xbfefff3824c88f6f,     0x3f8c45ffe1e48ad9,     //   -0.9999,  0.013805
+    0xbfefff62169b92db,     0x3f8921d1fcdec784,     //  -0.99992,  0.012272
+    0xbfefff871937ce2f,     0x3f85fda037ac05e0,     //  -0.99994,  0.010738
+    0xbfefffa72c978c4f,     0x3f82d96b0e509703,     //  -0.99996, 0.0092038
+    0xbfefffc250b5daef,     0x3f7f6a65f9a2a3c5,     //  -0.99997, 0.0076698
+    0xbfefffd8858e8a92,     0x3f7921f0fe670071,     //  -0.99998, 0.0061359
+    0xbfefffe9cb1e2e8d,     0x3f72d97822f996bc,     //  -0.99999, 0.0046019
+    0xbfeffff621621d02,     0x3f6921f8becca4ba,     //        -1,  0.003068
+    0xbfeffffd88586ee6,     0x3f5921faaee6472d,     //        -1,  0.001534
+    0xbff0000000000000,     0x0000000000000000,     //        -1,         0
+    0xbfeffffd88586ee6,     0xbf5921faaee6472d,     //        -1, -0.001534
+    0xbfeffff621621d02,     0xbf6921f8becca4ba,     //        -1, -0.003068
+    0xbfefffe9cb1e2e8d,     0xbf72d97822f996bc,     //  -0.99999,-0.0046019
+    0xbfefffd8858e8a92,     0xbf7921f0fe670071,     //  -0.99998,-0.0061359
+    0xbfefffc250b5daef,     0xbf7f6a65f9a2a3c5,     //  -0.99997,-0.0076698
+    0xbfefffa72c978c4f,     0xbf82d96b0e509703,     //  -0.99996,-0.0092038
+    0xbfefff871937ce2f,     0xbf85fda037ac05e0,     //  -0.99994, -0.010738
+    0xbfefff62169b92db,     0xbf8921d1fcdec784,     //  -0.99992, -0.012272
+    0xbfefff3824c88f6f,     0xbf8c45ffe1e48ad9,     //   -0.9999, -0.013805
+    0xbfefff0943c53bd1,     0xbf8f6a296ab997ca,     //  -0.99988, -0.015339
+    0xbfeffed57398d2b7,     0xbf9147270dad7132,     //  -0.99986, -0.016873
+    0xbfeffe9cb44b51a1,     0xbf92d936bbe30efd,     //  -0.99983, -0.018407
+    0xbfeffe5f05e578db,     0xbf946b4381fce81c,     //   -0.9998,  -0.01994
+    0xbfeffe1c6870cb77,     0xbf95fd4d21fab226,     //  -0.99977, -0.021474
+    0xbfeffdd4dbf78f52,     0xbf978f535ddc9f03,     //  -0.99974, -0.023008
+    0xbfeffd886084cd0d,     0xbf992155f7a3667e,     //   -0.9997, -0.024541
+    0xbfeffd36f624500c,     0xbf9ab354b1504fca,     //  -0.99966, -0.026075
+    0xbfeffce09ce2a679,     0xbf9c454f4ce53b1c,     //  -0.99962, -0.027608
+    0xbfeffc8554cd213a,     0xbf9dd7458c64ab39,     //  -0.99958, -0.029142
+    0xbfeffc251df1d3f8,     0xbf9f693731d1cf01,     //  -0.99953, -0.030675
+    0xbfeffbbff85f9515,     0xbfa07d91ff984580,     //  -0.99948, -0.032208
+    0xbfeffb55e425fdae,     0xbfa14685db42c17e,     //  -0.99943, -0.033741
+    0xbfeffae6e1556998,     0xbfa20f770ceb11c6,     //  -0.99938, -0.035274
+    0xbfeffa72effef75d,     0xbfa2d865759455cd,     //  -0.99932, -0.036807
+    0xbfeff9fa10348837,     0xbfa3a150f6421afc,     //  -0.99926,  -0.03834
+    0xbfeff97c4208c014,     0xbfa46a396ff86179,     //   -0.9992, -0.039873
+    0xbfeff8f9858f058b,     0xbfa5331ec3bba0eb,     //  -0.99914, -0.041406
+    0xbfeff871dadb81df,     0xbfa5fc00d290cd43,     //  -0.99908, -0.042938
+    0xbfeff7e5420320f9,     0xbfa6c4df7d7d5b84,     //  -0.99901, -0.044471
+    0xbfeff753bb1b9164,     0xbfa78dbaa5874685,     //  -0.99894, -0.046003
+    0xbfeff6bd463b444d,     0xbfa856922bb513c1,     //  -0.99887, -0.047535
+    0xbfeff621e3796d7e,     0xbfa91f65f10dd814,     //   -0.9988, -0.049068
+    0xbfeff58192ee0358,     0xbfa9e835d6993c87,     //  -0.99872,   -0.0506
+    0xbfeff4dc54b1bed3,     0xbfaab101bd5f8317,     //  -0.99864, -0.052132
+    0xbfeff43228de1b77,     0xbfab79c986698b78,     //  -0.99856, -0.053664
+    0xbfeff3830f8d575c,     0xbfac428d12c0d7e3,     //  -0.99848, -0.055195
+    0xbfeff2cf08da7321,     0xbfad0b4c436f91d0,     //  -0.99839, -0.056727
+    0xbfeff21614e131ed,     0xbfadd406f9808ec8,     //   -0.9983, -0.058258
+    0xbfeff15833be1965,     0xbfae9cbd15ff5527,     //  -0.99821,  -0.05979
+    0xbfeff095658e71ad,     0xbfaf656e79f820e0,     //  -0.99812, -0.061321
+    0xbfefefcdaa704562,     0xbfb0170d833bf421,     //  -0.99802, -0.062852
+    0xbfefef0102826191,     0xbfb07b614e463064,     //  -0.99793, -0.064383
+    0xbfefee2f6de455ba,     0xbfb0dfb28ea201e6,     //  -0.99783, -0.065913
+    0xbfefed58ecb673c4,     0xbfb1440134d709b2,     //  -0.99772, -0.067444
+    0xbfefec7d7f19cffc,     0xbfb1a84d316d4f8a,     //  -0.99762, -0.068974
+    0xbfefeb9d2530410f,     0xbfb20c9674ed444c,     //  -0.99751, -0.070505
+    0xbfefeab7df1c6005,     0xbfb270dcefdfc45b,     //   -0.9974, -0.072035
+    0xbfefe9cdad01883a,     0xbfb2d52092ce19f6,     //  -0.99729, -0.073565
+    0xbfefe8de8f03d75c,     0xbfb339614e41ffa5,     //  -0.99718, -0.075094
+    0xbfefe7ea85482d60,     0xbfb39d9f12c5a299,     //  -0.99706, -0.076624
+    0xbfefe6f18ff42c84,     0xbfb401d9d0e3a507,     //  -0.99694, -0.078153
+    0xbfefe5f3af2e3940,     0xbfb4661179272096,     //  -0.99682, -0.079682
+    0xbfefe4f0e31d7a4a,     0xbfb4ca45fc1ba8b6,     //   -0.9967, -0.081211
+    0xbfefe3e92be9d886,     0xbfb52e774a4d4d0a,     //  -0.99657,  -0.08274
+    0xbfefe2dc89bbff08,     0xbfb592a554489bc8,     //  -0.99644, -0.084269
+    0xbfefe1cafcbd5b09,     0xbfb5f6d00a9aa419,     //  -0.99631, -0.085797
+    0xbfefe0b485181be3,     0xbfb65af75dd0f87b,     //  -0.99618, -0.087326
+    0xbfefdf9922f73307,     0xbfb6bf1b3e79b129,     //  -0.99604, -0.088854
+    0xbfefde78d68653fd,     0xbfb7233b9d236e71,     //  -0.99591, -0.090381
+    0xbfefdd539ff1f456,     0xbfb787586a5d5b21,     //  -0.99577, -0.091909
+    0xbfefdc297f674ba9,     0xbfb7eb7196b72ee4,     //  -0.99563, -0.093436
+    0xbfefdafa7514538c,     0xbfb84f8712c130a0,     //  -0.99548, -0.094963
+    0xbfefd9c68127c78c,     0xbfb8b398cf0c38e0,     //  -0.99533,  -0.09649
+    0xbfefd88da3d12526,     0xbfb917a6bc29b42c,     //  -0.99518, -0.098017
+    0xbfefd74fdd40abbf,     0xbfb97bb0caaba56f,     //  -0.99503, -0.099544
+    0xbfefd60d2da75c9e,     0xbfb9dfb6eb24a85c,     //  -0.99488,  -0.10107
+    0xbfefd4c59536fae4,     0xbfba43b90e27f3c4,     //  -0.99472,   -0.1026
+    0xbfefd37914220b84,     0xbfbaa7b724495c04,     //  -0.99456,  -0.10412
+    0xbfefd227aa9bd53b,     0xbfbb0bb11e1d5559,     //   -0.9944,  -0.10565
+    0xbfefd0d158d86087,     0xbfbb6fa6ec38f64c,     //  -0.99424,  -0.10717
+    0xbfefcf761f0c77a3,     0xbfbbd3987f31fa0e,     //  -0.99407,   -0.1087
+    0xbfefce15fd6da67b,     0xbfbc3785c79ec2d5,     //  -0.99391,  -0.11022
+    0xbfefccb0f4323aa3,     0xbfbc9b6eb6165c42,     //  -0.99374,  -0.11175
+    0xbfefcb4703914354,     0xbfbcff533b307dc1,     //  -0.99356,  -0.11327
+    0xbfefc9d82bc2915e,     0xbfbd633347858ce4,     //  -0.99339,  -0.11479
+    0xbfefc8646cfeb721,     0xbfbdc70ecbae9fc8,     //  -0.99321,  -0.11632
+    0xbfefc6ebc77f0887,     0xbfbe2ae5b8457f77,     //  -0.99303,  -0.11784
+    0xbfefc56e3b7d9af6,     0xbfbe8eb7fde4aa3e,     //  -0.99285,  -0.11937
+    0xbfefc3ebc935454c,     0xbfbef2858d27561b,     //  -0.99267,  -0.12089
+    0xbfefc26470e19fd3,     0xbfbf564e56a9730e,     //  -0.99248,  -0.12241
+    0xbfefc0d832bf043a,     0xbfbfba124b07ad85,     //  -0.99229,  -0.12393
+    0xbfefbf470f0a8d88,     0xbfc00ee8ad6fb85b,     //   -0.9921,  -0.12545
+    0xbfefbdb106021816,     0xbfc040c5bb67747e,     //  -0.99191,  -0.12698
+    0xbfefbc1617e44186,     0xbfc072a047ba831d,     //  -0.99171,   -0.1285
+    0xbfefba7644f068b5,     0xbfc0a4784ab8bf1d,     //  -0.99151,  -0.13002
+    0xbfefb8d18d66adb7,     0xbfc0d64dbcb26786,     //  -0.99131,  -0.13154
+    0xbfefb727f187f1c7,     0xbfc1082095f820b0,     //  -0.99111,  -0.13306
+    0xbfefb5797195d741,     0xbfc139f0cedaf576,     //   -0.9909,  -0.13458
+    0xbfefb3c60dd2c199,     0xbfc16bbe5fac5865,     //   -0.9907,   -0.1361
+    0xbfefb20dc681d54d,     0xbfc19d8940be24e7,     //  -0.99049,  -0.13762
+    0xbfefb0509be6f7db,     0xbfc1cf516a62a077,     //  -0.99027,  -0.13914
+    0xbfefae8e8e46cfbb,     0xbfc20116d4ec7bce,     //  -0.99006,  -0.14066
+    0xbfefacc79de6c44f,     0xbfc232d978aed413,     //  -0.98984,  -0.14218
+    0xbfefaafbcb0cfddc,     0xbfc264994dfd340a,     //  -0.98962,   -0.1437
+    0xbfefa92b1600657c,     0xbfc296564d2b953e,     //   -0.9894,  -0.14521
+    0xbfefa7557f08a517,     0xbfc2c8106e8e613a,     //  -0.98918,  -0.14673
+    0xbfefa57b066e2754,     0xbfc2f9c7aa7a72af,     //  -0.98895,  -0.14825
+    0xbfefa39bac7a1791,     0xbfc32b7bf94516a7,     //  -0.98872,  -0.14976
+    0xbfefa1b7717661d5,     0xbfc35d2d53440db2,     //  -0.98849,  -0.15128
+    0xbfef9fce55adb2c8,     0xbfc38edbb0cd8d14,     //  -0.98826,   -0.1528
+    0xbfef9de0596b77a3,     0xbfc3c0870a383ff6,     //  -0.98802,  -0.15431
+    0xbfef9bed7cfbde29,     0xbfc3f22f57db4893,     //  -0.98778,  -0.15583
+    0xbfef99f5c0abd496,     0xbfc423d4920e4166,     //  -0.98754,  -0.15734
+    0xbfef97f924c9099b,     0xbfc45576b1293e5a,     //   -0.9873,  -0.15886
+    0xbfef95f7a9a1ec47,     0xbfc48715ad84cdf5,     //  -0.98706,  -0.16037
+    0xbfef93f14f85ac08,     0xbfc4b8b17f79fa88,     //  -0.98681,  -0.16189
+    0xbfef91e616c43891,     0xbfc4ea4a1f624b61,     //  -0.98656,   -0.1634
+    0xbfef8fd5ffae41db,     0xbfc51bdf8597c5f2,     //  -0.98631,  -0.16491
+    0xbfef8dc10a95380d,     0xbfc54d71aa74ef02,     //  -0.98605,  -0.16643
+    0xbfef8ba737cb4b78,     0xbfc57f008654cbde,     //   -0.9858,  -0.16794
+    0xbfef898887a36c84,     0xbfc5b08c1192e381,     //  -0.98554,  -0.16945
+    0xbfef8764fa714ba9,     0xbfc5e214448b3fc6,     //  -0.98528,  -0.17096
+    0xbfef853c9089595e,     0xbfc61399179a6e94,     //  -0.98501,  -0.17247
+    0xbfef830f4a40c60c,     0xbfc6451a831d830d,     //  -0.98475,  -0.17398
+    0xbfef80dd27ed8204,     0xbfc676987f7216b8,     //  -0.98448,  -0.17549
+    0xbfef7ea629e63d6e,     0xbfc6a81304f64ab2,     //  -0.98421,    -0.177
+    0xbfef7c6a50826840,     0xbfc6d98a0c08c8da,     //  -0.98394,  -0.17851
+    0xbfef7a299c1a322a,     0xbfc70afd8d08c4ff,     //  -0.98366,  -0.18002
+    0xbfef77e40d068a90,     0xbfc73c6d8055fe0a,     //  -0.98339,  -0.18153
+    0xbfef7599a3a12077,     0xbfc76dd9de50bf31,     //  -0.98311,  -0.18304
+    0xbfef734a60446279,     0xbfc79f429f59e11d,     //  -0.98282,  -0.18455
+    0xbfef70f6434b7eb7,     0xbfc7d0a7bbd2cb1b,     //  -0.98254,  -0.18606
+    0xbfef6e9d4d1262ca,     0xbfc802092c1d744b,     //  -0.98225,  -0.18756
+    0xbfef6c3f7df5bbb7,     0xbfc83366e89c64c5,     //  -0.98196,  -0.18907
+    0xbfef69dcd652f5de,     0xbfc864c0e9b2b6cf,     //  -0.98167,  -0.19057
+    0xbfef677556883cee,     0xbfc8961727c41804,     //  -0.98138,  -0.19208
+    0xbfef6508fef47bd5,     0xbfc8c7699b34ca7e,     //  -0.98108,  -0.19359
+    0xbfef6297cff75cb0,     0xbfc8f8b83c69a60a,     //  -0.98079,  -0.19509
+    0xbfef6021c9f148c2,     0xbfc92a0303c8194f,     //  -0.98048,  -0.19659
+    0xbfef5da6ed43685d,     0xbfc95b49e9b62af9,     //  -0.98018,   -0.1981
+    0xbfef5b273a4fa2d9,     0xbfc98c8ce69a7aec,     //  -0.97988,   -0.1996
+    0xbfef58a2b1789e84,     0xbfc9bdcbf2dc4366,     //  -0.97957,   -0.2011
+    0xbfef56195321c090,     0xbfc9ef0706e35a35,     //  -0.97926,  -0.20261
+    0xbfef538b1faf2d07,     0xbfca203e1b1831da,     //  -0.97895,  -0.20411
+    0xbfef50f81785c6b9,     0xbfca517127e3dabc,     //  -0.97863,  -0.20561
+    0xbfef4e603b0b2f2d,     0xbfca82a025b00451,     //  -0.97832,  -0.20711
+    0xbfef4bc38aa5c694,     0xbfcab3cb0ce6fe44,     //    -0.978,  -0.20861
+    0xbfef492206bcabb4,     0xbfcae4f1d5f3b9ab,     //  -0.97768,  -0.21011
+    0xbfef467bafb7bbe0,     0xbfcb16147941ca2a,     //  -0.97735,  -0.21161
+    0xbfef43d085ff92dd,     0xbfcb4732ef3d6722,     //  -0.97703,  -0.21311
+    0xbfef412089fd8adc,     0xbfcb784d30536cda,     //   -0.9767,  -0.21461
+    0xbfef3e6bbc1bbc65,     0xbfcba96334f15dad,     //  -0.97637,  -0.21611
+    0xbfef3bb21cc4fe47,     0xbfcbda74f5856330,     //  -0.97604,   -0.2176
+    0xbfef38f3ac64e589,     0xbfcc0b826a7e4f63,     //   -0.9757,   -0.2191
+    0xbfef36306b67c556,     0xbfcc3c8b8c4b9dd7,     //  -0.97536,   -0.2206
+    0xbfef33685a3aaef0,     0xbfcc6d90535d74dc,     //  -0.97503,  -0.22209
+    0xbfef309b794b719f,     0xbfcc9e90b824a6a9,     //  -0.97468,  -0.22359
+    0xbfef2dc9c9089a9d,     0xbfcccf8cb312b286,     //  -0.97434,  -0.22508
+    0xbfef2af349e17507,     0xbfcd00843c99c5f9,     //  -0.97399,  -0.22658
+    0xbfef2817fc4609ce,     0xbfcd31774d2cbdee,     //  -0.97364,  -0.22807
+    0xbfef2537e0a71f9f,     0xbfcd6265dd3f27e3,     //  -0.97329,  -0.22957
+    0xbfef2252f7763ada,     0xbfcd934fe5454311,     //  -0.97294,  -0.23106
+    0xbfef1f6941259d7a,     0xbfcdc4355db40195,     //  -0.97258,  -0.23255
+    0xbfef1c7abe284708,     0xbfcdf5163f01099a,     //  -0.97223,  -0.23404
+    0xbfef19876ef1f486,     0xbfce25f281a2b684,     //  -0.97187,  -0.23553
+    0xbfef168f53f7205d,     0xbfce56ca1e101a1b,     //   -0.9715,  -0.23702
+    0xbfef13926dad024e,     0xbfce879d0cc0fdaf,     //  -0.97114,  -0.23851
+    0xbfef1090bc898f5f,     0xbfceb86b462de348,     //  -0.97077,     -0.24
+    0xbfef0d8a410379c5,     0xbfcee934c2d006c7,     //   -0.9704,  -0.24149
+    0xbfef0a7efb9230d7,     0xbfcf19f97b215f1a,     //  -0.97003,  -0.24298
+    0xbfef076eecade0fa,     0xbfcf4ab9679c9f5c,     //  -0.96966,  -0.24447
+    0xbfef045a14cf738c,     0xbfcf7b7480bd3801,     //  -0.96928,  -0.24596
+    0xbfef014074708ed3,     0xbfcfac2abeff57ff,     //   -0.9689,  -0.24744
+    0xbfeefe220c0b95ec,     0xbfcfdcdc1adfedf8,     //  -0.96852,  -0.24893
+    0xbfeefafedc1ba8b7,     0xbfd006c4466e54af,     //  -0.96814,  -0.25041
+    0xbfeef7d6e51ca3c0,     0xbfd01f1806b9fdd2,     //  -0.96775,   -0.2519
+    0xbfeef4aa278b2032,     0xbfd037694a928cac,     //  -0.96737,  -0.25338
+    0xbfeef178a3e473c2,     0xbfd04fb80e37fdae,     //  -0.96698,  -0.25487
+    0xbfeeee425aa6b09a,     0xbfd068044deab002,     //  -0.96658,  -0.25635
+    0xbfeeeb074c50a544,     0xbfd0804e05eb661e,     //  -0.96619,  -0.25783
+    0xbfeee7c77961dc9e,     0xbfd09895327b465e,     //  -0.96579,  -0.25931
+    0xbfeee482e25a9dbc,     0xbfd0b0d9cfdbdb90,     //  -0.96539,  -0.26079
+    0xbfeee13987bbebdc,     0xbfd0c91bda4f158d,     //  -0.96499,  -0.26227
+    0xbfeeddeb6a078651,     0xbfd0e15b4e1749cd,     //  -0.96459,  -0.26375
+    0xbfeeda9889bfe86a,     0xbfd0f998277733f7,     //  -0.96418,  -0.26523
+    0xbfeed740e7684963,     0xbfd111d262b1f677,     //  -0.96378,  -0.26671
+    0xbfeed3e483849c51,     0xbfd12a09fc0b1b12,     //  -0.96337,  -0.26819
+    0xbfeed0835e999009,     0xbfd1423eefc69378,     //  -0.96295,  -0.26967
+    0xbfeecd1d792c8f10,     0xbfd15a713a28b9d9,     //  -0.96254,  -0.27115
+    0xbfeec9b2d3c3bf84,     0xbfd172a0d7765177,     //  -0.96212,  -0.27262
+    0xbfeec6436ee60309,     0xbfd18acdc3f4873a,     //   -0.9617,   -0.2741
+    0xbfeec2cf4b1af6b2,     0xbfd1a2f7fbe8f243,     //  -0.96128,  -0.27557
+    0xbfeebf5668eaf2ef,     0xbfd1bb1f7b999480,     //  -0.96086,  -0.27705
+    0xbfeebbd8c8df0b74,     0xbfd1d3443f4cdb3d,     //  -0.96043,  -0.27852
+    0xbfeeb8566b810f2a,     0xbfd1eb6643499fbb,     //     -0.96,  -0.27999
+    0xbfeeb4cf515b8811,     0xbfd2038583d727bd,     //  -0.95957,  -0.28146
+    0xbfeeb1437af9bb34,     0xbfd21ba1fd3d2623,     //  -0.95914,  -0.28294
+    0xbfeeadb2e8e7a88e,     0xbfd233bbabc3bb72,     //   -0.9587,  -0.28441
+    0xbfeeaa1d9bb20af3,     0xbfd24bd28bb37672,     //  -0.95827,  -0.28588
+    0xbfeea68393e65800,     0xbfd263e6995554ba,     //  -0.95783,  -0.28735
+    0xbfeea2e4d212c000,     0xbfd27bf7d0f2c346,     //  -0.95738,  -0.28882
+    0xbfee9f4156c62dda,     0xbfd294062ed59f05,     //  -0.95694,  -0.29028
+    0xbfee9b99229046f8,     0xbfd2ac11af483572,     //  -0.95649,  -0.29175
+    0xbfee97ec36016b30,     0xbfd2c41a4e954520,     //  -0.95605,  -0.29322
+    0xbfee943a91aab4b4,     0xbfd2dc200907fe51,     //  -0.95559,  -0.29469
+    0xbfee9084361df7f3,     0xbfd2f422daec0386,     //  -0.95514,  -0.29615
+    0xbfee8cc923edc388,     0xbfd30c22c08d6a13,     //  -0.95469,  -0.29762
+    0xbfee89095bad6025,     0xbfd3241fb638baaf,     //  -0.95423,  -0.29908
+    0xbfee8544ddf0d075,     0xbfd33c19b83af207,     //  -0.95377,  -0.30054
+    0xbfee817bab4cd10d,     0xbfd35410c2e18152,     //  -0.95331,  -0.30201
+    0xbfee7dadc456d850,     0xbfd36c04d27a4edf,     //  -0.95284,  -0.30347
+    0xbfee79db29a5165a,     0xbfd383f5e353b6aa,     //  -0.95238,  -0.30493
+    0xbfee7603dbce74e9,     0xbfd39be3f1bc8aef,     //  -0.95191,  -0.30639
+    0xbfee7227db6a9744,     0xbfd3b3cefa0414b7,     //  -0.95144,  -0.30785
+    0xbfee6e472911da27,     0xbfd3cbb6f87a146e,     //  -0.95096,  -0.30931
+    0xbfee6a61c55d53a7,     0xbfd3e39be96ec271,     //  -0.95049,  -0.31077
+    0xbfee6677b0e6d31e,     0xbfd3fb7dc932cfa4,     //  -0.95001,  -0.31222
+    0xbfee6288ec48e112,     0xbfd4135c94176602,     //  -0.94953,  -0.31368
+    0xbfee5e95781ebf1c,     0xbfd42b38466e2928,     //  -0.94905,  -0.31514
+    0xbfee5a9d550467d3,     0xbfd44310dc8936f0,     //  -0.94856,  -0.31659
+    0xbfee56a083968eb1,     0xbfd45ae652bb2800,     //  -0.94807,  -0.31805
+    0xbfee529f04729ffc,     0xbfd472b8a5571054,     //  -0.94759,   -0.3195
+    0xbfee4e98d836c0af,     0xbfd48a87d0b07fd7,     //  -0.94709,  -0.32096
+    0xbfee4a8dff81ce5e,     0xbfd4a253d11b82f3,     //   -0.9466,  -0.32241
+    0xbfee467e7af35f23,     0xbfd4ba1ca2eca31c,     //  -0.94611,  -0.32386
+    0xbfee426a4b2bc17e,     0xbfd4d1e24278e76a,     //  -0.94561,  -0.32531
+    0xbfee3e5170cbfc46,     0xbfd4e9a4ac15d520,     //  -0.94511,  -0.32676
+    0xbfee3a33ec75ce85,     0xbfd50163dc197047,     //   -0.9446,  -0.32821
+    0xbfee3611becbaf69,     0xbfd5191fceda3c35,     //   -0.9441,  -0.32966
+    0xbfee31eae870ce25,     0xbfd530d880af3c24,     //  -0.94359,  -0.33111
+    0xbfee2dbf6a0911d9,     0xbfd5488dedeff3be,     //  -0.94308,  -0.33255
+    0xbfee298f4439197a,     0xbfd5604012f467b4,     //  -0.94257,    -0.334
+    0xbfee255a77a63bb8,     0xbfd577eeec151e47,     //  -0.94206,  -0.33545
+    0xbfee212104f686e5,     0xbfd58f9a75ab1fdd,     //  -0.94154,  -0.33689
+    0xbfee1ce2ecd0c0d8,     0xbfd5a742ac0ff78d,     //  -0.94103,  -0.33833
+    0xbfee18a02fdc66d9,     0xbfd5bee78b9db3b6,     //  -0.94051,  -0.33978
+    0xbfee1458cec1ad83,     0xbfd5d68910aee686,     //  -0.93998,  -0.34122
+    0xbfee100cca2980ac,     0xbfd5ee27379ea693,     //  -0.93946,  -0.34266
+    0xbfee0bbc22bd8349,     0xbfd605c1fcc88f63,     //  -0.93893,   -0.3441
+    0xbfee0766d9280f54,     0xbfd61d595c88c203,     //   -0.9384,  -0.34554
+    0xbfee030cee1435b8,     0xbfd634ed533be58e,     //  -0.93787,  -0.34698
+    0xbfedfeae622dbe2b,     0xbfd64c7ddd3f27c6,     //  -0.93734,  -0.34842
+    0xbfedfa4b3621271d,     0xbfd6640af6f03d9e,     //   -0.9368,  -0.34986
+    0xbfedf5e36a9ba59c,     0xbfd67b949cad63ca,     //  -0.93627,  -0.35129
+    0xbfedf177004b2534,     0xbfd6931acad55f51,     //  -0.93573,  -0.35273
+    0xbfeded05f7de47da,     0xbfd6aa9d7dc77e16,     //  -0.93518,  -0.35416
+    0xbfede890520465ce,     0xbfd6c21cb1e39771,     //  -0.93464,   -0.3556
+    0xbfede4160f6d8d81,     0xbfd6d998638a0cb5,     //  -0.93409,  -0.35703
+    0xbfeddf9730ca837b,     0xbfd6f1108f1bc9c5,     //  -0.93354,  -0.35846
+    0xbfeddb13b6ccc23d,     0xbfd7088530fa459e,     //  -0.93299,   -0.3599
+    0xbfedd68ba2267a25,     0xbfd71ff6458782ec,     //  -0.93244,  -0.36133
+    0xbfedd1fef38a915a,     0xbfd73763c9261092,     //  -0.93188,  -0.36276
+    0xbfedcd6dabaca3a5,     0xbfd74ecdb8390a3e,     //  -0.93133,  -0.36418
+    0xbfedc8d7cb410260,     0xbfd766340f2418f6,     //  -0.93077,  -0.36561
+    0xbfedc43d52fcb453,     0xbfd77d96ca4b73a6,     //  -0.93021,  -0.36704
+    0xbfedbf9e4395759a,     0xbfd794f5e613dfae,     //  -0.92964,  -0.36847
+    0xbfedbafa9dc1b78d,     0xbfd7ac515ee2b172,     //  -0.92907,  -0.36989
+    0xbfedb6526238a09b,     0xbfd7c3a9311dcce7,     //  -0.92851,  -0.37132
+    0xbfedb1a591b20c38,     0xbfd7dafd592ba621,     //  -0.92794,  -0.37274
+    0xbfedacf42ce68ab9,     0xbfd7f24dd37341e3,     //  -0.92736,  -0.37416
+    0xbfeda83e348f613b,     0xbfd8099a9c5c362d,     //  -0.92679,  -0.37559
+    0xbfeda383a9668988,     0xbfd820e3b04eaac4,     //  -0.92621,  -0.37701
+    0xbfed9ec48c26b1f3,     0xbfd838290bb359c8,     //  -0.92563,  -0.37843
+    0xbfed9a00dd8b3d46,     0xbfd84f6aaaf3903f,     //  -0.92505,  -0.37985
+    0xbfed95389e50429b,     0xbfd866a88a792ea0,     //  -0.92447,  -0.38127
+    0xbfed906bcf328d46,     0xbfd87de2a6aea963,     //  -0.92388,  -0.38268
+    0xbfed8b9a70ef9cb4,     0xbfd89518fbff098e,     //  -0.92329,   -0.3841
+    0xbfed86c48445a450,     0xbfd8ac4b86d5ed44,     //   -0.9227,  -0.38552
+    0xbfed81ea09f38b63,     0xbfd8c37a439f884f,     //  -0.92211,  -0.38693
+    0xbfed7d0b02b8ecf9,     0xbfd8daa52ec8a4af,     //  -0.92151,  -0.38835
+    0xbfed78276f5617c6,     0xbfd8f1cc44bea329,     //  -0.92092,  -0.38976
+    0xbfed733f508c0dff,     0xbfd908ef81ef7bd1,     //  -0.92032,  -0.39117
+    0xbfed6e52a71c8547,     0xbfd9200ee2c9be97,     //  -0.91972,  -0.39258
+    0xbfed696173c9e68b,     0xbfd9372a63bc93d7,     //  -0.91911,  -0.39399
+    0xbfed646bb7574de5,     0xbfd94e420137bce3,     //  -0.91851,   -0.3954
+    0xbfed5f7172888a7f,     0xbfd96555b7ab948f,     //   -0.9179,  -0.39681
+    0xbfed5a72a6221e73,     0xbfd97c6583890fc2,     //  -0.91729,  -0.39822
+    0xbfed556f52e93eb1,     0xbfd993716141bdfe,     //  -0.91668,  -0.39962
+    0xbfed506779a3d2d9,     0xbfd9aa794d47c9ee,     //  -0.91606,  -0.40103
+    0xbfed4b5b1b187524,     0xbfd9c17d440df9f2,     //  -0.91545,  -0.40243
+    0xbfed464a380e7242,     0xbfd9d87d4207b0ab,     //  -0.91483,  -0.40384
+    0xbfed4134d14dc93a,     0xbfd9ef7943a8ed8a,     //  -0.91421,  -0.40524
+    0xbfed3c1ae79f2b4e,     0xbfda067145664d57,     //  -0.91359,  -0.40664
+    0xbfed36fc7bcbfbdc,     0xbfda1d6543b50ac0,     //  -0.91296,  -0.40804
+    0xbfed31d98e9e503a,     0xbfda34553b0afee5,     //  -0.91234,  -0.40944
+    0xbfed2cb220e0ef9f,     0xbfda4b4127dea1e4,     //  -0.91171,  -0.41084
+    0xbfed2786335f52fc,     0xbfda622906a70b63,     //  -0.91107,  -0.41224
+    0xbfed2255c6e5a4e1,     0xbfda790cd3dbf31a,     //  -0.91044,  -0.41364
+    0xbfed1d20dc40c15c,     0xbfda8fec8bf5b166,     //  -0.90981,  -0.41503
+    0xbfed17e7743e35dc,     0xbfdaa6c82b6d3fc9,     //  -0.90917,  -0.41643
+    0xbfed12a98fac410c,     0xbfdabd9faebc3980,     //  -0.90853,  -0.41782
+    0xbfed0d672f59d2b9,     0xbfdad473125cdc08,     //  -0.90789,  -0.41922
+    0xbfed082054168bac,     0xbfdaeb4252ca07ab,     //  -0.90724,  -0.42061
+    0xbfed02d4feb2bd92,     0xbfdb020d6c7f4009,     //   -0.9066,    -0.422
+    0xbfecfd852fff6ad4,     0xbfdb18d45bf8aca6,     //  -0.90595,  -0.42339
+    0xbfecf830e8ce467b,     0xbfdb2f971db31972,     //   -0.9053,  -0.42478
+    0xbfecf2d829f1b40e,     0xbfdb4655ae2bf757,     //  -0.90464,  -0.42617
+    0xbfeced7af43cc773,     0xbfdb5d1009e15cc0,     //  -0.90399,  -0.42756
+    0xbfece819488344ce,     0xbfdb73c62d520624,     //  -0.90333,  -0.42894
+    0xbfece2b32799a060,     0xbfdb8a7814fd5693,     //  -0.90267,  -0.43033
+    0xbfecdd489254fe65,     0xbfdba125bd63583e,     //  -0.90201,  -0.43171
+    0xbfecd7d9898b32f6,     0xbfdbb7cf2304bd01,     //  -0.90135,  -0.43309
+    0xbfecd2660e12c1e6,     0xbfdbce744262deee,     //  -0.90068,  -0.43448
+    0xbfecccee20c2de9f,     0xbfdbe51517ffc0d9,     //  -0.90002,  -0.43586
+    0xbfecc771c2736c09,     0xbfdbfbb1a05e0edc,     //  -0.89935,  -0.43724
+    0xbfecc1f0f3fcfc5c,     0xbfdc1249d8011ee7,     //  -0.89867,  -0.43862
+    0xbfecbc6bb638d10b,     0xbfdc28ddbb6cf145,     //    -0.898,  -0.43999
+    0xbfecb6e20a00da99,     0xbfdc3f6d47263129,     //  -0.89732,  -0.44137
+    0xbfecb153f02fb87d,     0xbfdc55f877b23537,     //  -0.89665,  -0.44275
+    0xbfecabc169a0b901,     0xbfdc6c7f4997000a,     //  -0.89597,  -0.44412
+    0xbfeca62a772fd919,     0xbfdc8301b95b40c2,     //  -0.89528,   -0.4455
+    0xbfeca08f19b9c449,     0xbfdc997fc3865388,     //   -0.8946,  -0.44687
+    0xbfec9aef521bd480,     0xbfdcaff964a0421d,     //  -0.89391,  -0.44824
+    0xbfec954b213411f5,     0xbfdcc66e9931c45d,     //  -0.89322,  -0.44961
+    0xbfec8fa287e13305,     0xbfdcdcdf5dc440ce,     //  -0.89253,  -0.45098
+    0xbfec89f587029c13,     0xbfdcf34baee1cd21,     //  -0.89184,  -0.45235
+    0xbfec84441f785f61,     0xbfdd09b389152ec1,     //  -0.89115,  -0.45372
+    0xbfec7e8e52233cf3,     0xbfdd2016e8e9db5b,     //  -0.89045,  -0.45508
+    0xbfec78d41fe4a267,     0xbfdd3675caebf962,     //  -0.88975,  -0.45645
+    0xbfec7315899eaad7,     0xbfdd4cd02ba8609c,     //  -0.88905,  -0.45781
+    0xbfec6d5290341eb2,     0xbfdd632607ac9aa9,     //  -0.88835,  -0.45918
+    0xbfec678b3488739b,     0xbfdd79775b86e389,     //  -0.88764,  -0.46054
+    0xbfec61bf777fcc48,     0xbfdd8fc423c62a25,     //  -0.88693,   -0.4619
+    0xbfec5bef59fef85a,     0xbfdda60c5cfa10d8,     //  -0.88622,  -0.46326
+    0xbfec561adceb743e,     0xbfddbc5003b2edf8,     //  -0.88551,  -0.46462
+    0xbfec5042012b6907,     0xbfddd28f1481cc58,     //   -0.8848,  -0.46598
+    0xbfec4a64c7a5ac4c,     0xbfdde8c98bf86bd6,     //  -0.88408,  -0.46733
+    0xbfec44833141c004,     0xbfddfeff66a941de,     //  -0.88336,  -0.46869
+    0xbfec3e9d3ee7d262,     0xbfde1530a12779f4,     //  -0.88264,  -0.47004
+    0xbfec38b2f180bdb1,     0xbfde2b5d3806f63b,     //  -0.88192,   -0.4714
+    0xbfec32c449f60831,     0xbfde418527dc4ffa,     //   -0.8812,  -0.47275
+    0xbfec2cd14931e3f1,     0xbfde57a86d3cd824,     //  -0.88047,   -0.4741
+    0xbfec26d9f01f2eaf,     0xbfde6dc704be97e2,     //  -0.87974,  -0.47545
+    0xbfec20de3fa971b0,     0xbfde83e0eaf85113,     //  -0.87901,   -0.4768
+    0xbfec1ade38bce19b,     0xbfde99f61c817eda,     //  -0.87828,  -0.47815
+    0xbfec14d9dc465e58,     0xbfdeb00695f25620,     //  -0.87755,  -0.47949
+    0xbfec0ed12b3372e9,     0xbfdec61253e3c61b,     //  -0.87681,  -0.48084
+    0xbfec08c426725549,     0xbfdedc1952ef78d5,     //  -0.87607,  -0.48218
+    0xbfec02b2cef1e641,     0xbfdef21b8fafd3b5,     //  -0.87533,  -0.48353
+    0xbfebfc9d25a1b147,     0xbfdf081906bff7fd,     //  -0.87459,  -0.48487
+    0xbfebf6832b71ec5b,     0xbfdf1e11b4bbc35c,     //  -0.87384,  -0.48621
+    0xbfebf064e15377dd,     0xbfdf3405963fd068,     //  -0.87309,  -0.48755
+    0xbfebea424837de6d,     0xbfdf49f4a7e97729,     //  -0.87235,  -0.48889
+    0xbfebe41b611154c1,     0xbfdf5fdee656cda3,     //   -0.8716,  -0.49023
+    0xbfebddf02cd2b983,     0xbfdf75c44e26a852,     //  -0.87084,  -0.49156
+    0xbfebd7c0ac6f952a,     0xbfdf8ba4dbf89aba,     //  -0.87009,   -0.4929
+    0xbfebd18ce0dc19d6,     0xbfdfa1808c6cf7e0,     //  -0.86933,  -0.49423
+    0xbfebcb54cb0d2327,     0xbfdfb7575c24d2de,     //  -0.86857,  -0.49557
+    0xbfebc5186bf8361d,     0xbfdfcd2947c1ff57,     //  -0.86781,   -0.4969
+    0xbfebbed7c49380ea,     0xbfdfe2f64be7120f,     //  -0.86705,  -0.49823
+    0xbfebb892d5d5dad5,     0xbfdff8be6537615e,     //  -0.86628,  -0.49956
+    0xbfebb249a0b6c40d,     0xbfe00740c82b82e0,     //  -0.86551,  -0.50089
+    0xbfebabfc262e6586,     0xbfe0121fe4f56d2c,     //  -0.86474,  -0.50221
+    0xbfeba5aa673590d2,     0xbfe01cfc874c3eb7,     //  -0.86397,  -0.50354
+    0xbfeb9f5464c5bffc,     0xbfe027d6ad83287e,     //   -0.8632,  -0.50486
+    0xbfeb98fa1fd9155e,     0xbfe032ae55edbd95,     //  -0.86242,  -0.50619
+    0xbfeb929b996a5b7f,     0xbfe03d837edff370,     //  -0.86165,  -0.50751
+    0xbfeb8c38d27504e9,     0xbfe0485626ae221a,     //  -0.86087,  -0.50883
+    0xbfeb85d1cbf52c02,     0xbfe053264bad0483,     //  -0.86009,  -0.51015
+    0xbfeb7f6686e792ea,     0xbfe05df3ec31b8b6,     //   -0.8593,  -0.51147
+    0xbfeb78f70449a34b,     0xbfe068bf0691c028,     //  -0.85852,  -0.51279
+    0xbfeb728345196e3e,     0xbfe073879922ffed,     //  -0.85773,   -0.5141
+    0xbfeb6c0b4a55ac17,     0xbfe07e4da23bc102,     //  -0.85694,  -0.51542
+    0xbfeb658f14fdbc47,     0xbfe089112032b08c,     //  -0.85615,  -0.51673
+    0xbfeb5f0ea611a532,     0xbfe093d2115ee018,     //  -0.85535,  -0.51804
+    0xbfeb5889fe921405,     0xbfe09e907417c5e1,     //  -0.85456,  -0.51936
+    0xbfeb52011f805c92,     0xbfe0a94c46b53d0b,     //  -0.85376,  -0.52067
+    0xbfeb4b7409de7925,     0xbfe0b405878f85ec,     //  -0.85296,  -0.52198
+    0xbfeb44e2beaf0a61,     0xbfe0bebc34ff4646,     //  -0.85216,  -0.52328
+    0xbfeb3e4d3ef55712,     0xbfe0c9704d5d898f,     //  -0.85136,  -0.52459
+    0xbfeb37b38bb54c09,     0xbfe0d421cf03c12b,     //  -0.85055,   -0.5259
+    0xbfeb3115a5f37bf4,     0xbfe0ded0b84bc4b5,     //  -0.84974,   -0.5272
+    0xbfeb2a738eb51f33,     0xbfe0e97d078fd23b,     //  -0.84893,   -0.5285
+    0xbfeb23cd470013b4,     0xbfe0f426bb2a8e7d,     //  -0.84812,   -0.5298
+    0xbfeb1d22cfdadcc6,     0xbfe0fecdd1770537,     //  -0.84731,   -0.5311
+    0xbfeb16742a4ca2f5,     0xbfe1097248d0a956,     //  -0.84649,   -0.5324
+    0xbfeb0fc1575d33db,     0xbfe114141f935545,     //  -0.84567,   -0.5337
+    0xbfeb090a58150200,     0xbfe11eb3541b4b22,     //  -0.84485,    -0.535
+    0xbfeb024f2d7d24a9,     0xbfe1294fe4c5350a,     //  -0.84403,  -0.53629
+    0xbfeafb8fd89f57b6,     0xbfe133e9cfee254e,     //  -0.84321,  -0.53759
+    0xbfeaf4cc5a85fb73,     0xbfe13e8113f396c1,     //  -0.84238,  -0.53888
+    0xbfeaee04b43c1474,     0xbfe14915af336ceb,     //  -0.84155,  -0.54017
+    0xbfeae738e6cd4b67,     0xbfe153a7a00bf453,     //  -0.84073,  -0.54146
+    0xbfeae068f345ecef,     0xbfe15e36e4dbe2bc,     //  -0.83989,  -0.54275
+    0xbfead994dab2e979,     0xbfe168c37c025764,     //  -0.83906,  -0.54404
+    0xbfead2bc9e21d511,     0xbfe1734d63dedb49,     //  -0.83822,  -0.54532
+    0xbfeacbe03ea0e73b,     0xbfe17dd49ad16161,     //  -0.83739,  -0.54661
+    0xbfeac4ffbd3efac8,     0xbfe188591f3a46e5,     //  -0.83655,  -0.54789
+    0xbfeabe1b1b0b8dac,     0xbfe192daef7a5386,     //  -0.83571,  -0.54918
+    0xbfeab7325916c0d4,     0xbfe19d5a09f2b9b8,     //  -0.83486,  -0.55046
+    0xbfeab045787157ff,     0xbfe1a7d66d0516e6,     //  -0.83402,  -0.55174
+    0xbfeaa9547a2cb98e,     0xbfe1b250171373be,     //  -0.83317,  -0.55302
+    0xbfeaa25f5f5aee60,     0xbfe1bcc706804467,     //  -0.83232,  -0.55429
+    0xbfea9b66290ea1a3,     0xbfe1c73b39ae68c8,     //  -0.83147,  -0.55557
+    0xbfea9468d85b20ae,     0xbfe1d1acaf012cc2,     //  -0.83062,  -0.55685
+    0xbfea8d676e545ad2,     0xbfe1dc1b64dc4872,     //  -0.82976,  -0.55812
+    0xbfea8661ec0ee133,     0xbfe1e68759a3e074,     //   -0.8289,  -0.55939
+    0xbfea7f58529fe69d,     0xbfe1f0f08bbc861b,     //  -0.82805,  -0.56066
+    0xbfea784aa31d3f55,     0xbfe1fb56f98b37b8,     //  -0.82718,  -0.56193
+    0xbfea7138de9d60f5,     0xbfe205baa17560d6,     //  -0.82632,   -0.5632
+    0xbfea6a230637623b,     0xbfe2101b81e0da78,     //  -0.82546,  -0.56447
+    0xbfea63091b02fae2,     0xbfe21a799933eb58,     //  -0.82459,  -0.56573
+    0xbfea5beb1e188375,     0xbfe224d4e5d5482e,     //  -0.82372,    -0.567
+    0xbfea54c91090f524,     0xbfe22f2d662c13e1,     //  -0.82285,  -0.56826
+    0xbfea4da2f385e997,     0xbfe23983189fdfd5,     //  -0.82198,  -0.56952
+    0xbfea4678c8119ac8,     0xbfe243d5fb98ac1f,     //   -0.8211,  -0.57078
+    0xbfea3f4a8f4ee2d2,     0xbfe24e260d7ee7c9,     //  -0.82023,  -0.57204
+    0xbfea38184a593bc6,     0xbfe258734cbb7110,     //  -0.81935,   -0.5733
+    0xbfea30e1fa4cbf81,     0xbfe262bdb7b795a2,     //  -0.81847,  -0.57455
+    0xbfea29a7a0462782,     0xbfe26d054cdd12df,     //  -0.81758,  -0.57581
+    0xbfea22693d62ccb9,     0xbfe2774a0a961612,     //   -0.8167,  -0.57706
+    0xbfea1b26d2c0a75e,     0xbfe2818bef4d3cba,     //  -0.81581,  -0.57831
+    0xbfea13e0617e4ec7,     0xbfe28bcaf96d94ba,     //  -0.81493,  -0.57956
+    0xbfea0c95eabaf937,     0xbfe2960727629ca8,     //  -0.81404,  -0.58081
+    0xbfea05476f967bb5,     0xbfe2a040779843fb,     //  -0.81314,  -0.58206
+    0xbfe9fdf4f13149de,     0xbfe2aa76e87aeb58,     //  -0.81225,  -0.58331
+    0xbfe9f69e70ac75bc,     0xbfe2b4aa787764c4,     //  -0.81135,  -0.58455
+    0xbfe9ef43ef29af94,     0xbfe2bedb25faf3ea,     //  -0.81046,   -0.5858
+    0xbfe9e7e56dcb45bd,     0xbfe2c908ef734e57,     //  -0.80956,  -0.58704
+    0xbfe9e082edb42472,     0xbfe2d333d34e9bb7,     //  -0.80866,  -0.58828
+    0xbfe9d91c7007d5a6,     0xbfe2dd5bcffb7616,     //  -0.80775,  -0.58952
+    0xbfe9d1b1f5ea80d6,     0xbfe2e780e3e8ea16,     //  -0.80685,  -0.59076
+    0xbfe9ca438080eadb,     0xbfe2f1a30d86773a,     //  -0.80594,    -0.592
+    0xbfe9c2d110f075c3,     0xbfe2fbc24b441015,     //  -0.80503,  -0.59323
+    0xbfe9bb5aa85f2098,     0xbfe305de9b921a94,     //  -0.80412,  -0.59447
+    0xbfe9b3e047f38741,     0xbfe30ff7fce17035,     //  -0.80321,   -0.5957
+    0xbfe9ac61f0d4e247,     0xbfe31a0e6da35e44,     //  -0.80229,  -0.59693
+    0xbfe9a4dfa42b06b2,     0xbfe32421ec49a620,     //  -0.80138,  -0.59816
+    0xbfe99d59631e65d5,     0xbfe32e3277467d6b,     //  -0.80046,  -0.59939
+    0xbfe995cf2ed80d22,     0xbfe338400d0c8e57,     //  -0.79954,  -0.60062
+    0xbfe98e410881a600,     0xbfe3424aac0ef7d6,     //  -0.79861,  -0.60184
+    0xbfe986aef1457594,     0xbfe34c5252c14de1,     //  -0.79769,  -0.60307
+    0xbfe97f18ea4e5c9e,     0xbfe35656ff9799ae,     //  -0.79676,  -0.60429
+    0xbfe9777ef4c7d742,     0xbfe36058b10659f3,     //  -0.79584,  -0.60551
+    0xbfe96fe111ddfce0,     0xbfe36a576582831b,     //  -0.79491,  -0.60673
+    0xbfe9683f42bd7fe1,     0xbfe374531b817f8d,     //  -0.79398,  -0.60795
+    0xbfe960998893ad8c,     0xbfe37e4bd1792fe2,     //  -0.79304,  -0.60917
+    0xbfe958efe48e6dd7,     0xbfe3884185dfeb22,     //  -0.79211,  -0.61038
+    0xbfe9514257dc4335,     0xbfe39234372c7f04,     //  -0.79117,   -0.6116
+    0xbfe94990e3ac4a6c,     0xbfe39c23e3d63029,     //  -0.79023,  -0.61281
+    0xbfe941db892e3a65,     0xbfe3a6108a54ba58,     //  -0.78929,  -0.61402
+    0xbfe93a22499263fc,     0xbfe3affa292050b9,     //  -0.78835,  -0.61523
+    0xbfe932652609b1cf,     0xbfe3b9e0beb19e18,     //   -0.7874,  -0.61644
+    0xbfe92aa41fc5a815,     0xbfe3c3c44981c517,     //  -0.78646,  -0.61765
+    0xbfe922df37f8646a,     0xbfe3cda4c80a6076,     //  -0.78551,  -0.61885
+    0xbfe91b166fd49da2,     0xbfe3d78238c58343,     //  -0.78456,  -0.62006
+    0xbfe91349c88da398,     0xbfe3e15c9a2db922,     //   -0.7836,  -0.62126
+    0xbfe90b7943575efe,     0xbfe3eb33eabe0680,     //  -0.78265,  -0.62246
+    0xbfe903a4e1665133,     0xbfe3f50828f1e8d2,     //  -0.78169,  -0.62366
+    0xbfe8fbcca3ef940d,     0xbfe3fed9534556d4,     //  -0.78074,  -0.62486
+    0xbfe8f3f08c28d9ac,     0xbfe408a76834c0c0,     //  -0.77978,  -0.62606
+    0xbfe8ec109b486c49,     0xbfe41272663d108c,     //  -0.77882,  -0.62725
+    0xbfe8e42cd2852e0a,     0xbfe41c3a4bdbaa26,     //  -0.77785,  -0.62845
+    0xbfe8dc45331698cc,     0xbfe425ff178e6bb1,     //  -0.77689,  -0.62964
+    0xbfe8d459be34bdfa,     0xbfe42fc0c7d3adbb,     //  -0.77592,  -0.63083
+    0xbfe8cc6a75184655,     0xbfe4397f5b2a4380,     //  -0.77495,  -0.63202
+    0xbfe8c47758fa71cb,     0xbfe4433ad0117b1d,     //  -0.77398,  -0.63321
+    0xbfe8bc806b151741,     0xbfe44cf325091dd6,     //  -0.77301,  -0.63439
+    0xbfe8b485aca2a468,     0xbfe456a858917046,     //  -0.77204,  -0.63558
+    0xbfe8ac871ede1d88,     0xbfe4605a692b32a2,     //  -0.77106,  -0.63676
+    0xbfe8a484c3031d50,     0xbfe46a095557a0f1,     //  -0.77008,  -0.63794
+    0xbfe89c7e9a4dd4ab,     0xbfe473b51b987347,     //   -0.7691,  -0.63912
+    0xbfe89474a5fb0a84,     0xbfe47d5dba6fde01,     //  -0.76812,   -0.6403
+    0xbfe88c66e7481ba1,     0xbfe48703306091fe,     //  -0.76714,  -0.64148
+    0xbfe884555f72fa6b,     0xbfe490a57bedbcdf,     //  -0.76615,  -0.64266
+    0xbfe87c400fba2ebf,     0xbfe49a449b9b0938,     //  -0.76517,  -0.64383
+    0xbfe87426f95cd5bd,     0xbfe4a3e08dec9ed6,     //  -0.76418,    -0.645
+    0xbfe86c0a1d9aa195,     0xbfe4ad79516722f0,     //  -0.76319,  -0.64618
+    0xbfe863e97db3d95a,     0xbfe4b70ee48fb869,     //   -0.7622,  -0.64735
+    0xbfe85bc51ae958cc,     0xbfe4c0a145ec0004,     //   -0.7612,  -0.64851
+    0xbfe8539cf67c9029,     0xbfe4ca30740218a3,     //  -0.76021,  -0.64968
+    0xbfe84b7111af83f9,     0xbfe4d3bc6d589f80,     //  -0.75921,  -0.65085
+    0xbfe843416dc4cce2,     0xbfe4dd453076b064,     //  -0.75821,  -0.65201
+    0xbfe83b0e0bff976e,     0xbfe4e6cabbe3e5e9,     //  -0.75721,  -0.65317
+    0xbfe832d6eda3a3e0,     0xbfe4f04d0e2859aa,     //  -0.75621,  -0.65433
+    0xbfe82a9c13f545ff,     0xbfe4f9cc25cca486,     //   -0.7552,  -0.65549
+    0xbfe8225d803964e5,     0xbfe503480159ded2,     //  -0.75419,  -0.65665
+    0xbfe81a1b33b57acc,     0xbfe50cc09f59a09b,     //  -0.75319,  -0.65781
+    0xbfe811d52faf94dc,     0xbfe51635fe5601d7,     //  -0.75218,  -0.65896
+    0xbfe8098b756e52fa,     0xbfe51fa81cd99aa6,     //  -0.75117,  -0.66011
+    0xbfe8013e0638e795,     0xbfe52916f96f8388,     //  -0.75015,  -0.66127
+    0xbfe7f8ece3571771,     0xbfe5328292a35596,     //  -0.74914,  -0.66242
+    0xbfe7f0980e113978,     0xbfe53beae7012abe,     //  -0.74812,  -0.66356
+    0xbfe7e83f87b03686,     0xbfe5454ff5159dfb,     //   -0.7471,  -0.66471
+    0xbfe7dfe3517d8937,     0xbfe54eb1bb6dcb8f,     //  -0.74608,  -0.66586
+    0xbfe7d7836cc33db2,     0xbfe5581038975137,     //  -0.74506,    -0.667
+    0xbfe7cf1fdacbf179,     0xbfe5616b6b204e6e,     //  -0.74403,  -0.66814
+    0xbfe7c6b89ce2d333,     0xbfe56ac35197649e,     //  -0.74301,  -0.66928
+    0xbfe7be4db453a27c,     0xbfe57417ea8bb75c,     //  -0.74198,  -0.67042
+    0xbfe7b5df226aafb0,     0xbfe57d69348cec9f,     //  -0.74095,  -0.67156
+    0xbfe7ad6ce874dbb6,     0xbfe586b72e2b2cfd,     //  -0.73992,  -0.67269
+    0xbfe7a4f707bf97d2,     0xbfe59001d5f723df,     //  -0.73889,  -0.67383
+    0xbfe79c7d8198e56e,     0xbfe599492a81ffbc,     //  -0.73785,  -0.67496
+    0xbfe79400574f55e4,     0xbfe5a28d2a5d7250,     //  -0.73682,  -0.67609
+    0xbfe78b7f8a320a52,     0xbfe5abcdd41bb0d8,     //  -0.73578,  -0.67722
+    0xbfe782fb1b90b35b,     0xbfe5b50b264f7448,     //  -0.73474,  -0.67835
+    0xbfe77a730cbb9100,     0xbfe5be451f8bf980,     //   -0.7337,  -0.67948
+    0xbfe771e75f037261,     0xbfe5c77bbe65018c,     //  -0.73265,   -0.6806
+    0xbfe7695813b9b594,     0xbfe5d0af016ed1d4,     //  -0.73161,  -0.68172
+    0xbfe760c52c304764,     0xbfe5d9dee73e345c,     //  -0.73056,  -0.68285
+    0xbfe7582ea9b9a329,     0xbfe5e30b6e6877f3,     //  -0.72951,  -0.68397
+    0xbfe74f948da8d28d,     0xbfe5ec3495837074,     //  -0.72846,  -0.68508
+    0xbfe746f6d9516d59,     0xbfe5f55a5b2576f8,     //  -0.72741,   -0.6862
+    0xbfe73e558e079942,     0xbfe5fe7cbde56a0f,     //  -0.72636,  -0.68732
+    0xbfe735b0ad2009b2,     0xbfe6079bbc5aadfa,     //   -0.7253,  -0.68843
+    0xbfe72d0837efff97,     0xbfe610b7551d2cde,     //  -0.72425,  -0.68954
+    0xbfe7245c2fcd492a,     0xbfe619cf86c55702,     //  -0.72319,  -0.69065
+    0xbfe71bac960e41bf,     0xbfe622e44fec22ff,     //  -0.72213,  -0.69176
+    0xbfe712f96c09d18d,     0xbfe62bf5af2b0dfd,     //  -0.72107,  -0.69287
+    0xbfe70a42b3176d7a,     0xbfe63503a31c1be8,     //     -0.72,  -0.69397
+    0xbfe701886c8f16e6,     0xbfe63e0e2a59d7aa,     //  -0.71894,  -0.69508
+    0xbfe6f8ca99c95b75,     0xbfe64715437f535b,     //  -0.71787,  -0.69618
+    0xbfe6f0093c1f54de,     0xbfe65018ed28287f,     //   -0.7168,  -0.69728
+    0xbfe6e74454eaa8ae,     0xbfe6591925f0783e,     //  -0.71573,  -0.69838
+    0xbfe6de7be585881d,     0xbfe66215ec74eb91,     //  -0.71466,  -0.69947
+    0xbfe6d5afef4aafcc,     0xbfe66b0f3f52b386,     //  -0.71358,  -0.70057
+    0xbfe6cce07395679f,     0xbfe674051d27896c,     //  -0.71251,  -0.70166
+    0xbfe6c40d73c18275,     0xbfe67cf78491af10,     //  -0.71143,  -0.70275
+    0xbfe6bb36f12b5e06,     0xbfe685e6742feeef,     //  -0.71035,  -0.70385
+    0xbfe6b25ced2fe29c,     0xbfe68ed1eaa19c71,     //  -0.70927,  -0.70493
+    0xbfe6a97f692c82ea,     0xbfe697b9e686941c,     //  -0.70819,  -0.70602
+    0xbfe6a09e667f3bcc,     0xbfe6a09e667f3bcc,     //  -0.70711,  -0.70711
+    0xbfe697b9e686941c,     0xbfe6a97f692c82ea,     //  -0.70602,  -0.70819
+    0xbfe68ed1eaa19c71,     0xbfe6b25ced2fe29c,     //  -0.70493,  -0.70927
+    0xbfe685e6742feeef,     0xbfe6bb36f12b5e06,     //  -0.70385,  -0.71035
+    0xbfe67cf78491af10,     0xbfe6c40d73c18275,     //  -0.70275,  -0.71143
+    0xbfe674051d27896c,     0xbfe6cce07395679f,     //  -0.70166,  -0.71251
+    0xbfe66b0f3f52b386,     0xbfe6d5afef4aafcc,     //  -0.70057,  -0.71358
+    0xbfe66215ec74eb91,     0xbfe6de7be585881d,     //  -0.69947,  -0.71466
+    0xbfe6591925f0783e,     0xbfe6e74454eaa8ae,     //  -0.69838,  -0.71573
+    0xbfe65018ed28287f,     0xbfe6f0093c1f54de,     //  -0.69728,   -0.7168
+    0xbfe64715437f535b,     0xbfe6f8ca99c95b75,     //  -0.69618,  -0.71787
+    0xbfe63e0e2a59d7aa,     0xbfe701886c8f16e6,     //  -0.69508,  -0.71894
+    0xbfe63503a31c1be8,     0xbfe70a42b3176d7a,     //  -0.69397,     -0.72
+    0xbfe62bf5af2b0dfd,     0xbfe712f96c09d18d,     //  -0.69287,  -0.72107
+    0xbfe622e44fec22ff,     0xbfe71bac960e41bf,     //  -0.69176,  -0.72213
+    0xbfe619cf86c55702,     0xbfe7245c2fcd492a,     //  -0.69065,  -0.72319
+    0xbfe610b7551d2cde,     0xbfe72d0837efff97,     //  -0.68954,  -0.72425
+    0xbfe6079bbc5aadfa,     0xbfe735b0ad2009b2,     //  -0.68843,   -0.7253
+    0xbfe5fe7cbde56a0f,     0xbfe73e558e079942,     //  -0.68732,  -0.72636
+    0xbfe5f55a5b2576f8,     0xbfe746f6d9516d59,     //   -0.6862,  -0.72741
+    0xbfe5ec3495837074,     0xbfe74f948da8d28d,     //  -0.68508,  -0.72846
+    0xbfe5e30b6e6877f3,     0xbfe7582ea9b9a329,     //  -0.68397,  -0.72951
+    0xbfe5d9dee73e345c,     0xbfe760c52c304764,     //  -0.68285,  -0.73056
+    0xbfe5d0af016ed1d4,     0xbfe7695813b9b594,     //  -0.68172,  -0.73161
+    0xbfe5c77bbe65018c,     0xbfe771e75f037261,     //   -0.6806,  -0.73265
+    0xbfe5be451f8bf980,     0xbfe77a730cbb9100,     //  -0.67948,   -0.7337
+    0xbfe5b50b264f7448,     0xbfe782fb1b90b35b,     //  -0.67835,  -0.73474
+    0xbfe5abcdd41bb0d8,     0xbfe78b7f8a320a52,     //  -0.67722,  -0.73578
+    0xbfe5a28d2a5d7250,     0xbfe79400574f55e4,     //  -0.67609,  -0.73682
+    0xbfe599492a81ffbc,     0xbfe79c7d8198e56e,     //  -0.67496,  -0.73785
+    0xbfe59001d5f723df,     0xbfe7a4f707bf97d2,     //  -0.67383,  -0.73889
+    0xbfe586b72e2b2cfd,     0xbfe7ad6ce874dbb6,     //  -0.67269,  -0.73992
+    0xbfe57d69348cec9f,     0xbfe7b5df226aafb0,     //  -0.67156,  -0.74095
+    0xbfe57417ea8bb75c,     0xbfe7be4db453a27c,     //  -0.67042,  -0.74198
+    0xbfe56ac35197649e,     0xbfe7c6b89ce2d333,     //  -0.66928,  -0.74301
+    0xbfe5616b6b204e6e,     0xbfe7cf1fdacbf179,     //  -0.66814,  -0.74403
+    0xbfe5581038975137,     0xbfe7d7836cc33db2,     //    -0.667,  -0.74506
+    0xbfe54eb1bb6dcb8f,     0xbfe7dfe3517d8937,     //  -0.66586,  -0.74608
+    0xbfe5454ff5159dfb,     0xbfe7e83f87b03686,     //  -0.66471,   -0.7471
+    0xbfe53beae7012abe,     0xbfe7f0980e113978,     //  -0.66356,  -0.74812
+    0xbfe5328292a35596,     0xbfe7f8ece3571771,     //  -0.66242,  -0.74914
+    0xbfe52916f96f8388,     0xbfe8013e0638e795,     //  -0.66127,  -0.75015
+    0xbfe51fa81cd99aa6,     0xbfe8098b756e52fa,     //  -0.66011,  -0.75117
+    0xbfe51635fe5601d7,     0xbfe811d52faf94dc,     //  -0.65896,  -0.75218
+    0xbfe50cc09f59a09b,     0xbfe81a1b33b57acc,     //  -0.65781,  -0.75319
+    0xbfe503480159ded2,     0xbfe8225d803964e5,     //  -0.65665,  -0.75419
+    0xbfe4f9cc25cca486,     0xbfe82a9c13f545ff,     //  -0.65549,   -0.7552
+    0xbfe4f04d0e2859aa,     0xbfe832d6eda3a3e0,     //  -0.65433,  -0.75621
+    0xbfe4e6cabbe3e5e9,     0xbfe83b0e0bff976e,     //  -0.65317,  -0.75721
+    0xbfe4dd453076b064,     0xbfe843416dc4cce2,     //  -0.65201,  -0.75821
+    0xbfe4d3bc6d589f80,     0xbfe84b7111af83f9,     //  -0.65085,  -0.75921
+    0xbfe4ca30740218a3,     0xbfe8539cf67c9029,     //  -0.64968,  -0.76021
+    0xbfe4c0a145ec0004,     0xbfe85bc51ae958cc,     //  -0.64851,   -0.7612
+    0xbfe4b70ee48fb869,     0xbfe863e97db3d95a,     //  -0.64735,   -0.7622
+    0xbfe4ad79516722f0,     0xbfe86c0a1d9aa195,     //  -0.64618,  -0.76319
+    0xbfe4a3e08dec9ed6,     0xbfe87426f95cd5bd,     //    -0.645,  -0.76418
+    0xbfe49a449b9b0938,     0xbfe87c400fba2ebf,     //  -0.64383,  -0.76517
+    0xbfe490a57bedbcdf,     0xbfe884555f72fa6b,     //  -0.64266,  -0.76615
+    0xbfe48703306091fe,     0xbfe88c66e7481ba1,     //  -0.64148,  -0.76714
+    0xbfe47d5dba6fde01,     0xbfe89474a5fb0a84,     //   -0.6403,  -0.76812
+    0xbfe473b51b987347,     0xbfe89c7e9a4dd4ab,     //  -0.63912,   -0.7691
+    0xbfe46a095557a0f1,     0xbfe8a484c3031d50,     //  -0.63794,  -0.77008
+    0xbfe4605a692b32a2,     0xbfe8ac871ede1d88,     //  -0.63676,  -0.77106
+    0xbfe456a858917046,     0xbfe8b485aca2a468,     //  -0.63558,  -0.77204
+    0xbfe44cf325091dd6,     0xbfe8bc806b151741,     //  -0.63439,  -0.77301
+    0xbfe4433ad0117b1d,     0xbfe8c47758fa71cb,     //  -0.63321,  -0.77398
+    0xbfe4397f5b2a4380,     0xbfe8cc6a75184655,     //  -0.63202,  -0.77495
+    0xbfe42fc0c7d3adbb,     0xbfe8d459be34bdfa,     //  -0.63083,  -0.77592
+    0xbfe425ff178e6bb1,     0xbfe8dc45331698cc,     //  -0.62964,  -0.77689
+    0xbfe41c3a4bdbaa26,     0xbfe8e42cd2852e0a,     //  -0.62845,  -0.77785
+    0xbfe41272663d108c,     0xbfe8ec109b486c49,     //  -0.62725,  -0.77882
+    0xbfe408a76834c0c0,     0xbfe8f3f08c28d9ac,     //  -0.62606,  -0.77978
+    0xbfe3fed9534556d4,     0xbfe8fbcca3ef940d,     //  -0.62486,  -0.78074
+    0xbfe3f50828f1e8d2,     0xbfe903a4e1665133,     //  -0.62366,  -0.78169
+    0xbfe3eb33eabe0680,     0xbfe90b7943575efe,     //  -0.62246,  -0.78265
+    0xbfe3e15c9a2db922,     0xbfe91349c88da398,     //  -0.62126,   -0.7836
+    0xbfe3d78238c58343,     0xbfe91b166fd49da2,     //  -0.62006,  -0.78456
+    0xbfe3cda4c80a6076,     0xbfe922df37f8646a,     //  -0.61885,  -0.78551
+    0xbfe3c3c44981c517,     0xbfe92aa41fc5a815,     //  -0.61765,  -0.78646
+    0xbfe3b9e0beb19e18,     0xbfe932652609b1cf,     //  -0.61644,   -0.7874
+    0xbfe3affa292050b9,     0xbfe93a22499263fc,     //  -0.61523,  -0.78835
+    0xbfe3a6108a54ba58,     0xbfe941db892e3a65,     //  -0.61402,  -0.78929
+    0xbfe39c23e3d63029,     0xbfe94990e3ac4a6c,     //  -0.61281,  -0.79023
+    0xbfe39234372c7f04,     0xbfe9514257dc4335,     //   -0.6116,  -0.79117
+    0xbfe3884185dfeb22,     0xbfe958efe48e6dd7,     //  -0.61038,  -0.79211
+    0xbfe37e4bd1792fe2,     0xbfe960998893ad8c,     //  -0.60917,  -0.79304
+    0xbfe374531b817f8d,     0xbfe9683f42bd7fe1,     //  -0.60795,  -0.79398
+    0xbfe36a576582831b,     0xbfe96fe111ddfce0,     //  -0.60673,  -0.79491
+    0xbfe36058b10659f3,     0xbfe9777ef4c7d742,     //  -0.60551,  -0.79584
+    0xbfe35656ff9799ae,     0xbfe97f18ea4e5c9e,     //  -0.60429,  -0.79676
+    0xbfe34c5252c14de1,     0xbfe986aef1457594,     //  -0.60307,  -0.79769
+    0xbfe3424aac0ef7d6,     0xbfe98e410881a600,     //  -0.60184,  -0.79861
+    0xbfe338400d0c8e57,     0xbfe995cf2ed80d22,     //  -0.60062,  -0.79954
+    0xbfe32e3277467d6b,     0xbfe99d59631e65d5,     //  -0.59939,  -0.80046
+    0xbfe32421ec49a620,     0xbfe9a4dfa42b06b2,     //  -0.59816,  -0.80138
+    0xbfe31a0e6da35e44,     0xbfe9ac61f0d4e247,     //  -0.59693,  -0.80229
+    0xbfe30ff7fce17035,     0xbfe9b3e047f38741,     //   -0.5957,  -0.80321
+    0xbfe305de9b921a94,     0xbfe9bb5aa85f2098,     //  -0.59447,  -0.80412
+    0xbfe2fbc24b441015,     0xbfe9c2d110f075c3,     //  -0.59323,  -0.80503
+    0xbfe2f1a30d86773a,     0xbfe9ca438080eadb,     //    -0.592,  -0.80594
+    0xbfe2e780e3e8ea16,     0xbfe9d1b1f5ea80d6,     //  -0.59076,  -0.80685
+    0xbfe2dd5bcffb7616,     0xbfe9d91c7007d5a6,     //  -0.58952,  -0.80775
+    0xbfe2d333d34e9bb7,     0xbfe9e082edb42472,     //  -0.58828,  -0.80866
+    0xbfe2c908ef734e57,     0xbfe9e7e56dcb45bd,     //  -0.58704,  -0.80956
+    0xbfe2bedb25faf3ea,     0xbfe9ef43ef29af94,     //   -0.5858,  -0.81046
+    0xbfe2b4aa787764c4,     0xbfe9f69e70ac75bc,     //  -0.58455,  -0.81135
+    0xbfe2aa76e87aeb58,     0xbfe9fdf4f13149de,     //  -0.58331,  -0.81225
+    0xbfe2a040779843fb,     0xbfea05476f967bb5,     //  -0.58206,  -0.81314
+    0xbfe2960727629ca8,     0xbfea0c95eabaf937,     //  -0.58081,  -0.81404
+    0xbfe28bcaf96d94ba,     0xbfea13e0617e4ec7,     //  -0.57956,  -0.81493
+    0xbfe2818bef4d3cba,     0xbfea1b26d2c0a75e,     //  -0.57831,  -0.81581
+    0xbfe2774a0a961612,     0xbfea22693d62ccb9,     //  -0.57706,   -0.8167
+    0xbfe26d054cdd12df,     0xbfea29a7a0462782,     //  -0.57581,  -0.81758
+    0xbfe262bdb7b795a2,     0xbfea30e1fa4cbf81,     //  -0.57455,  -0.81847
+    0xbfe258734cbb7110,     0xbfea38184a593bc6,     //   -0.5733,  -0.81935
+    0xbfe24e260d7ee7c9,     0xbfea3f4a8f4ee2d2,     //  -0.57204,  -0.82023
+    0xbfe243d5fb98ac1f,     0xbfea4678c8119ac8,     //  -0.57078,   -0.8211
+    0xbfe23983189fdfd5,     0xbfea4da2f385e997,     //  -0.56952,  -0.82198
+    0xbfe22f2d662c13e1,     0xbfea54c91090f524,     //  -0.56826,  -0.82285
+    0xbfe224d4e5d5482e,     0xbfea5beb1e188375,     //    -0.567,  -0.82372
+    0xbfe21a799933eb58,     0xbfea63091b02fae2,     //  -0.56573,  -0.82459
+    0xbfe2101b81e0da78,     0xbfea6a230637623b,     //  -0.56447,  -0.82546
+    0xbfe205baa17560d6,     0xbfea7138de9d60f5,     //   -0.5632,  -0.82632
+    0xbfe1fb56f98b37b8,     0xbfea784aa31d3f55,     //  -0.56193,  -0.82718
+    0xbfe1f0f08bbc861b,     0xbfea7f58529fe69d,     //  -0.56066,  -0.82805
+    0xbfe1e68759a3e074,     0xbfea8661ec0ee133,     //  -0.55939,   -0.8289
+    0xbfe1dc1b64dc4872,     0xbfea8d676e545ad2,     //  -0.55812,  -0.82976
+    0xbfe1d1acaf012cc2,     0xbfea9468d85b20ae,     //  -0.55685,  -0.83062
+    0xbfe1c73b39ae68c8,     0xbfea9b66290ea1a3,     //  -0.55557,  -0.83147
+    0xbfe1bcc706804467,     0xbfeaa25f5f5aee60,     //  -0.55429,  -0.83232
+    0xbfe1b250171373be,     0xbfeaa9547a2cb98e,     //  -0.55302,  -0.83317
+    0xbfe1a7d66d0516e6,     0xbfeab045787157ff,     //  -0.55174,  -0.83402
+    0xbfe19d5a09f2b9b8,     0xbfeab7325916c0d4,     //  -0.55046,  -0.83486
+    0xbfe192daef7a5386,     0xbfeabe1b1b0b8dac,     //  -0.54918,  -0.83571
+    0xbfe188591f3a46e5,     0xbfeac4ffbd3efac8,     //  -0.54789,  -0.83655
+    0xbfe17dd49ad16161,     0xbfeacbe03ea0e73b,     //  -0.54661,  -0.83739
+    0xbfe1734d63dedb49,     0xbfead2bc9e21d511,     //  -0.54532,  -0.83822
+    0xbfe168c37c025764,     0xbfead994dab2e979,     //  -0.54404,  -0.83906
+    0xbfe15e36e4dbe2bc,     0xbfeae068f345ecef,     //  -0.54275,  -0.83989
+    0xbfe153a7a00bf453,     0xbfeae738e6cd4b67,     //  -0.54146,  -0.84073
+    0xbfe14915af336ceb,     0xbfeaee04b43c1474,     //  -0.54017,  -0.84155
+    0xbfe13e8113f396c1,     0xbfeaf4cc5a85fb73,     //  -0.53888,  -0.84238
+    0xbfe133e9cfee254e,     0xbfeafb8fd89f57b6,     //  -0.53759,  -0.84321
+    0xbfe1294fe4c5350a,     0xbfeb024f2d7d24a9,     //  -0.53629,  -0.84403
+    0xbfe11eb3541b4b22,     0xbfeb090a58150200,     //    -0.535,  -0.84485
+    0xbfe114141f935545,     0xbfeb0fc1575d33db,     //   -0.5337,  -0.84567
+    0xbfe1097248d0a956,     0xbfeb16742a4ca2f5,     //   -0.5324,  -0.84649
+    0xbfe0fecdd1770537,     0xbfeb1d22cfdadcc6,     //   -0.5311,  -0.84731
+    0xbfe0f426bb2a8e7d,     0xbfeb23cd470013b4,     //   -0.5298,  -0.84812
+    0xbfe0e97d078fd23b,     0xbfeb2a738eb51f33,     //   -0.5285,  -0.84893
+    0xbfe0ded0b84bc4b5,     0xbfeb3115a5f37bf4,     //   -0.5272,  -0.84974
+    0xbfe0d421cf03c12b,     0xbfeb37b38bb54c09,     //   -0.5259,  -0.85055
+    0xbfe0c9704d5d898f,     0xbfeb3e4d3ef55712,     //  -0.52459,  -0.85136
+    0xbfe0bebc34ff4646,     0xbfeb44e2beaf0a61,     //  -0.52328,  -0.85216
+    0xbfe0b405878f85ec,     0xbfeb4b7409de7925,     //  -0.52198,  -0.85296
+    0xbfe0a94c46b53d0b,     0xbfeb52011f805c92,     //  -0.52067,  -0.85376
+    0xbfe09e907417c5e1,     0xbfeb5889fe921405,     //  -0.51936,  -0.85456
+    0xbfe093d2115ee018,     0xbfeb5f0ea611a532,     //  -0.51804,  -0.85535
+    0xbfe089112032b08c,     0xbfeb658f14fdbc47,     //  -0.51673,  -0.85615
+    0xbfe07e4da23bc102,     0xbfeb6c0b4a55ac17,     //  -0.51542,  -0.85694
+    0xbfe073879922ffed,     0xbfeb728345196e3e,     //   -0.5141,  -0.85773
+    0xbfe068bf0691c028,     0xbfeb78f70449a34b,     //  -0.51279,  -0.85852
+    0xbfe05df3ec31b8b6,     0xbfeb7f6686e792ea,     //  -0.51147,   -0.8593
+    0xbfe053264bad0483,     0xbfeb85d1cbf52c02,     //  -0.51015,  -0.86009
+    0xbfe0485626ae221a,     0xbfeb8c38d27504e9,     //  -0.50883,  -0.86087
+    0xbfe03d837edff370,     0xbfeb929b996a5b7f,     //  -0.50751,  -0.86165
+    0xbfe032ae55edbd95,     0xbfeb98fa1fd9155e,     //  -0.50619,  -0.86242
+    0xbfe027d6ad83287e,     0xbfeb9f5464c5bffc,     //  -0.50486,   -0.8632
+    0xbfe01cfc874c3eb7,     0xbfeba5aa673590d2,     //  -0.50354,  -0.86397
+    0xbfe0121fe4f56d2c,     0xbfebabfc262e6586,     //  -0.50221,  -0.86474
+    0xbfe00740c82b82e0,     0xbfebb249a0b6c40d,     //  -0.50089,  -0.86551
+    0xbfdff8be6537615e,     0xbfebb892d5d5dad5,     //  -0.49956,  -0.86628
+    0xbfdfe2f64be7120f,     0xbfebbed7c49380ea,     //  -0.49823,  -0.86705
+    0xbfdfcd2947c1ff57,     0xbfebc5186bf8361d,     //   -0.4969,  -0.86781
+    0xbfdfb7575c24d2de,     0xbfebcb54cb0d2327,     //  -0.49557,  -0.86857
+    0xbfdfa1808c6cf7e0,     0xbfebd18ce0dc19d6,     //  -0.49423,  -0.86933
+    0xbfdf8ba4dbf89aba,     0xbfebd7c0ac6f952a,     //   -0.4929,  -0.87009
+    0xbfdf75c44e26a852,     0xbfebddf02cd2b983,     //  -0.49156,  -0.87084
+    0xbfdf5fdee656cda3,     0xbfebe41b611154c1,     //  -0.49023,   -0.8716
+    0xbfdf49f4a7e97729,     0xbfebea424837de6d,     //  -0.48889,  -0.87235
+    0xbfdf3405963fd068,     0xbfebf064e15377dd,     //  -0.48755,  -0.87309
+    0xbfdf1e11b4bbc35c,     0xbfebf6832b71ec5b,     //  -0.48621,  -0.87384
+    0xbfdf081906bff7fd,     0xbfebfc9d25a1b147,     //  -0.48487,  -0.87459
+    0xbfdef21b8fafd3b5,     0xbfec02b2cef1e641,     //  -0.48353,  -0.87533
+    0xbfdedc1952ef78d5,     0xbfec08c426725549,     //  -0.48218,  -0.87607
+    0xbfdec61253e3c61b,     0xbfec0ed12b3372e9,     //  -0.48084,  -0.87681
+    0xbfdeb00695f25620,     0xbfec14d9dc465e58,     //  -0.47949,  -0.87755
+    0xbfde99f61c817eda,     0xbfec1ade38bce19b,     //  -0.47815,  -0.87828
+    0xbfde83e0eaf85113,     0xbfec20de3fa971b0,     //   -0.4768,  -0.87901
+    0xbfde6dc704be97e2,     0xbfec26d9f01f2eaf,     //  -0.47545,  -0.87974
+    0xbfde57a86d3cd824,     0xbfec2cd14931e3f1,     //   -0.4741,  -0.88047
+    0xbfde418527dc4ffa,     0xbfec32c449f60831,     //  -0.47275,   -0.8812
+    0xbfde2b5d3806f63b,     0xbfec38b2f180bdb1,     //   -0.4714,  -0.88192
+    0xbfde1530a12779f4,     0xbfec3e9d3ee7d262,     //  -0.47004,  -0.88264
+    0xbfddfeff66a941de,     0xbfec44833141c004,     //  -0.46869,  -0.88336
+    0xbfdde8c98bf86bd6,     0xbfec4a64c7a5ac4c,     //  -0.46733,  -0.88408
+    0xbfddd28f1481cc58,     0xbfec5042012b6907,     //  -0.46598,   -0.8848
+    0xbfddbc5003b2edf8,     0xbfec561adceb743e,     //  -0.46462,  -0.88551
+    0xbfdda60c5cfa10d8,     0xbfec5bef59fef85a,     //  -0.46326,  -0.88622
+    0xbfdd8fc423c62a25,     0xbfec61bf777fcc48,     //   -0.4619,  -0.88693
+    0xbfdd79775b86e389,     0xbfec678b3488739b,     //  -0.46054,  -0.88764
+    0xbfdd632607ac9aa9,     0xbfec6d5290341eb2,     //  -0.45918,  -0.88835
+    0xbfdd4cd02ba8609c,     0xbfec7315899eaad7,     //  -0.45781,  -0.88905
+    0xbfdd3675caebf962,     0xbfec78d41fe4a267,     //  -0.45645,  -0.88975
+    0xbfdd2016e8e9db5b,     0xbfec7e8e52233cf3,     //  -0.45508,  -0.89045
+    0xbfdd09b389152ec1,     0xbfec84441f785f61,     //  -0.45372,  -0.89115
+    0xbfdcf34baee1cd21,     0xbfec89f587029c13,     //  -0.45235,  -0.89184
+    0xbfdcdcdf5dc440ce,     0xbfec8fa287e13305,     //  -0.45098,  -0.89253
+    0xbfdcc66e9931c45d,     0xbfec954b213411f5,     //  -0.44961,  -0.89322
+    0xbfdcaff964a0421d,     0xbfec9aef521bd480,     //  -0.44824,  -0.89391
+    0xbfdc997fc3865388,     0xbfeca08f19b9c449,     //  -0.44687,   -0.8946
+    0xbfdc8301b95b40c2,     0xbfeca62a772fd919,     //   -0.4455,  -0.89528
+    0xbfdc6c7f4997000a,     0xbfecabc169a0b901,     //  -0.44412,  -0.89597
+    0xbfdc55f877b23537,     0xbfecb153f02fb87d,     //  -0.44275,  -0.89665
+    0xbfdc3f6d47263129,     0xbfecb6e20a00da99,     //  -0.44137,  -0.89732
+    0xbfdc28ddbb6cf145,     0xbfecbc6bb638d10b,     //  -0.43999,    -0.898
+    0xbfdc1249d8011ee7,     0xbfecc1f0f3fcfc5c,     //  -0.43862,  -0.89867
+    0xbfdbfbb1a05e0edc,     0xbfecc771c2736c09,     //  -0.43724,  -0.89935
+    0xbfdbe51517ffc0d9,     0xbfecccee20c2de9f,     //  -0.43586,  -0.90002
+    0xbfdbce744262deee,     0xbfecd2660e12c1e6,     //  -0.43448,  -0.90068
+    0xbfdbb7cf2304bd01,     0xbfecd7d9898b32f6,     //  -0.43309,  -0.90135
+    0xbfdba125bd63583e,     0xbfecdd489254fe65,     //  -0.43171,  -0.90201
+    0xbfdb8a7814fd5693,     0xbfece2b32799a060,     //  -0.43033,  -0.90267
+    0xbfdb73c62d520624,     0xbfece819488344ce,     //  -0.42894,  -0.90333
+    0xbfdb5d1009e15cc0,     0xbfeced7af43cc773,     //  -0.42756,  -0.90399
+    0xbfdb4655ae2bf757,     0xbfecf2d829f1b40e,     //  -0.42617,  -0.90464
+    0xbfdb2f971db31972,     0xbfecf830e8ce467b,     //  -0.42478,   -0.9053
+    0xbfdb18d45bf8aca6,     0xbfecfd852fff6ad4,     //  -0.42339,  -0.90595
+    0xbfdb020d6c7f4009,     0xbfed02d4feb2bd92,     //    -0.422,   -0.9066
+    0xbfdaeb4252ca07ab,     0xbfed082054168bac,     //  -0.42061,  -0.90724
+    0xbfdad473125cdc08,     0xbfed0d672f59d2b9,     //  -0.41922,  -0.90789
+    0xbfdabd9faebc3980,     0xbfed12a98fac410c,     //  -0.41782,  -0.90853
+    0xbfdaa6c82b6d3fc9,     0xbfed17e7743e35dc,     //  -0.41643,  -0.90917
+    0xbfda8fec8bf5b166,     0xbfed1d20dc40c15c,     //  -0.41503,  -0.90981
+    0xbfda790cd3dbf31a,     0xbfed2255c6e5a4e1,     //  -0.41364,  -0.91044
+    0xbfda622906a70b63,     0xbfed2786335f52fc,     //  -0.41224,  -0.91107
+    0xbfda4b4127dea1e4,     0xbfed2cb220e0ef9f,     //  -0.41084,  -0.91171
+    0xbfda34553b0afee5,     0xbfed31d98e9e503a,     //  -0.40944,  -0.91234
+    0xbfda1d6543b50ac0,     0xbfed36fc7bcbfbdc,     //  -0.40804,  -0.91296
+    0xbfda067145664d57,     0xbfed3c1ae79f2b4e,     //  -0.40664,  -0.91359
+    0xbfd9ef7943a8ed8a,     0xbfed4134d14dc93a,     //  -0.40524,  -0.91421
+    0xbfd9d87d4207b0ab,     0xbfed464a380e7242,     //  -0.40384,  -0.91483
+    0xbfd9c17d440df9f2,     0xbfed4b5b1b187524,     //  -0.40243,  -0.91545
+    0xbfd9aa794d47c9ee,     0xbfed506779a3d2d9,     //  -0.40103,  -0.91606
+    0xbfd993716141bdfe,     0xbfed556f52e93eb1,     //  -0.39962,  -0.91668
+    0xbfd97c6583890fc2,     0xbfed5a72a6221e73,     //  -0.39822,  -0.91729
+    0xbfd96555b7ab948f,     0xbfed5f7172888a7f,     //  -0.39681,   -0.9179
+    0xbfd94e420137bce3,     0xbfed646bb7574de5,     //   -0.3954,  -0.91851
+    0xbfd9372a63bc93d7,     0xbfed696173c9e68b,     //  -0.39399,  -0.91911
+    0xbfd9200ee2c9be97,     0xbfed6e52a71c8547,     //  -0.39258,  -0.91972
+    0xbfd908ef81ef7bd1,     0xbfed733f508c0dff,     //  -0.39117,  -0.92032
+    0xbfd8f1cc44bea329,     0xbfed78276f5617c6,     //  -0.38976,  -0.92092
+    0xbfd8daa52ec8a4af,     0xbfed7d0b02b8ecf9,     //  -0.38835,  -0.92151
+    0xbfd8c37a439f884f,     0xbfed81ea09f38b63,     //  -0.38693,  -0.92211
+    0xbfd8ac4b86d5ed44,     0xbfed86c48445a450,     //  -0.38552,   -0.9227
+    0xbfd89518fbff098e,     0xbfed8b9a70ef9cb4,     //   -0.3841,  -0.92329
+    0xbfd87de2a6aea963,     0xbfed906bcf328d46,     //  -0.38268,  -0.92388
+    0xbfd866a88a792ea0,     0xbfed95389e50429b,     //  -0.38127,  -0.92447
+    0xbfd84f6aaaf3903f,     0xbfed9a00dd8b3d46,     //  -0.37985,  -0.92505
+    0xbfd838290bb359c8,     0xbfed9ec48c26b1f3,     //  -0.37843,  -0.92563
+    0xbfd820e3b04eaac4,     0xbfeda383a9668988,     //  -0.37701,  -0.92621
+    0xbfd8099a9c5c362d,     0xbfeda83e348f613b,     //  -0.37559,  -0.92679
+    0xbfd7f24dd37341e3,     0xbfedacf42ce68ab9,     //  -0.37416,  -0.92736
+    0xbfd7dafd592ba621,     0xbfedb1a591b20c38,     //  -0.37274,  -0.92794
+    0xbfd7c3a9311dcce7,     0xbfedb6526238a09b,     //  -0.37132,  -0.92851
+    0xbfd7ac515ee2b172,     0xbfedbafa9dc1b78d,     //  -0.36989,  -0.92907
+    0xbfd794f5e613dfae,     0xbfedbf9e4395759a,     //  -0.36847,  -0.92964
+    0xbfd77d96ca4b73a6,     0xbfedc43d52fcb453,     //  -0.36704,  -0.93021
+    0xbfd766340f2418f6,     0xbfedc8d7cb410260,     //  -0.36561,  -0.93077
+    0xbfd74ecdb8390a3e,     0xbfedcd6dabaca3a5,     //  -0.36418,  -0.93133
+    0xbfd73763c9261092,     0xbfedd1fef38a915a,     //  -0.36276,  -0.93188
+    0xbfd71ff6458782ec,     0xbfedd68ba2267a25,     //  -0.36133,  -0.93244
+    0xbfd7088530fa459e,     0xbfeddb13b6ccc23d,     //   -0.3599,  -0.93299
+    0xbfd6f1108f1bc9c5,     0xbfeddf9730ca837b,     //  -0.35846,  -0.93354
+    0xbfd6d998638a0cb5,     0xbfede4160f6d8d81,     //  -0.35703,  -0.93409
+    0xbfd6c21cb1e39771,     0xbfede890520465ce,     //   -0.3556,  -0.93464
+    0xbfd6aa9d7dc77e16,     0xbfeded05f7de47da,     //  -0.35416,  -0.93518
+    0xbfd6931acad55f51,     0xbfedf177004b2534,     //  -0.35273,  -0.93573
+    0xbfd67b949cad63ca,     0xbfedf5e36a9ba59c,     //  -0.35129,  -0.93627
+    0xbfd6640af6f03d9e,     0xbfedfa4b3621271d,     //  -0.34986,   -0.9368
+    0xbfd64c7ddd3f27c6,     0xbfedfeae622dbe2b,     //  -0.34842,  -0.93734
+    0xbfd634ed533be58e,     0xbfee030cee1435b8,     //  -0.34698,  -0.93787
+    0xbfd61d595c88c203,     0xbfee0766d9280f54,     //  -0.34554,   -0.9384
+    0xbfd605c1fcc88f63,     0xbfee0bbc22bd8349,     //   -0.3441,  -0.93893
+    0xbfd5ee27379ea693,     0xbfee100cca2980ac,     //  -0.34266,  -0.93946
+    0xbfd5d68910aee686,     0xbfee1458cec1ad83,     //  -0.34122,  -0.93998
+    0xbfd5bee78b9db3b6,     0xbfee18a02fdc66d9,     //  -0.33978,  -0.94051
+    0xbfd5a742ac0ff78d,     0xbfee1ce2ecd0c0d8,     //  -0.33833,  -0.94103
+    0xbfd58f9a75ab1fdd,     0xbfee212104f686e5,     //  -0.33689,  -0.94154
+    0xbfd577eeec151e47,     0xbfee255a77a63bb8,     //  -0.33545,  -0.94206
+    0xbfd5604012f467b4,     0xbfee298f4439197a,     //    -0.334,  -0.94257
+    0xbfd5488dedeff3be,     0xbfee2dbf6a0911d9,     //  -0.33255,  -0.94308
+    0xbfd530d880af3c24,     0xbfee31eae870ce25,     //  -0.33111,  -0.94359
+    0xbfd5191fceda3c35,     0xbfee3611becbaf69,     //  -0.32966,   -0.9441
+    0xbfd50163dc197047,     0xbfee3a33ec75ce85,     //  -0.32821,   -0.9446
+    0xbfd4e9a4ac15d520,     0xbfee3e5170cbfc46,     //  -0.32676,  -0.94511
+    0xbfd4d1e24278e76a,     0xbfee426a4b2bc17e,     //  -0.32531,  -0.94561
+    0xbfd4ba1ca2eca31c,     0xbfee467e7af35f23,     //  -0.32386,  -0.94611
+    0xbfd4a253d11b82f3,     0xbfee4a8dff81ce5e,     //  -0.32241,   -0.9466
+    0xbfd48a87d0b07fd7,     0xbfee4e98d836c0af,     //  -0.32096,  -0.94709
+    0xbfd472b8a5571054,     0xbfee529f04729ffc,     //   -0.3195,  -0.94759
+    0xbfd45ae652bb2800,     0xbfee56a083968eb1,     //  -0.31805,  -0.94807
+    0xbfd44310dc8936f0,     0xbfee5a9d550467d3,     //  -0.31659,  -0.94856
+    0xbfd42b38466e2928,     0xbfee5e95781ebf1c,     //  -0.31514,  -0.94905
+    0xbfd4135c94176602,     0xbfee6288ec48e112,     //  -0.31368,  -0.94953
+    0xbfd3fb7dc932cfa4,     0xbfee6677b0e6d31e,     //  -0.31222,  -0.95001
+    0xbfd3e39be96ec271,     0xbfee6a61c55d53a7,     //  -0.31077,  -0.95049
+    0xbfd3cbb6f87a146e,     0xbfee6e472911da27,     //  -0.30931,  -0.95096
+    0xbfd3b3cefa0414b7,     0xbfee7227db6a9744,     //  -0.30785,  -0.95144
+    0xbfd39be3f1bc8aef,     0xbfee7603dbce74e9,     //  -0.30639,  -0.95191
+    0xbfd383f5e353b6aa,     0xbfee79db29a5165a,     //  -0.30493,  -0.95238
+    0xbfd36c04d27a4edf,     0xbfee7dadc456d850,     //  -0.30347,  -0.95284
+    0xbfd35410c2e18152,     0xbfee817bab4cd10d,     //  -0.30201,  -0.95331
+    0xbfd33c19b83af207,     0xbfee8544ddf0d075,     //  -0.30054,  -0.95377
+    0xbfd3241fb638baaf,     0xbfee89095bad6025,     //  -0.29908,  -0.95423
+    0xbfd30c22c08d6a13,     0xbfee8cc923edc388,     //  -0.29762,  -0.95469
+    0xbfd2f422daec0386,     0xbfee9084361df7f3,     //  -0.29615,  -0.95514
+    0xbfd2dc200907fe51,     0xbfee943a91aab4b4,     //  -0.29469,  -0.95559
+    0xbfd2c41a4e954520,     0xbfee97ec36016b30,     //  -0.29322,  -0.95605
+    0xbfd2ac11af483572,     0xbfee9b99229046f8,     //  -0.29175,  -0.95649
+    0xbfd294062ed59f05,     0xbfee9f4156c62dda,     //  -0.29028,  -0.95694
+    0xbfd27bf7d0f2c346,     0xbfeea2e4d212c000,     //  -0.28882,  -0.95738
+    0xbfd263e6995554ba,     0xbfeea68393e65800,     //  -0.28735,  -0.95783
+    0xbfd24bd28bb37672,     0xbfeeaa1d9bb20af3,     //  -0.28588,  -0.95827
+    0xbfd233bbabc3bb72,     0xbfeeadb2e8e7a88e,     //  -0.28441,   -0.9587
+    0xbfd21ba1fd3d2623,     0xbfeeb1437af9bb34,     //  -0.28294,  -0.95914
+    0xbfd2038583d727bd,     0xbfeeb4cf515b8811,     //  -0.28146,  -0.95957
+    0xbfd1eb6643499fbb,     0xbfeeb8566b810f2a,     //  -0.27999,     -0.96
+    0xbfd1d3443f4cdb3d,     0xbfeebbd8c8df0b74,     //  -0.27852,  -0.96043
+    0xbfd1bb1f7b999480,     0xbfeebf5668eaf2ef,     //  -0.27705,  -0.96086
+    0xbfd1a2f7fbe8f243,     0xbfeec2cf4b1af6b2,     //  -0.27557,  -0.96128
+    0xbfd18acdc3f4873a,     0xbfeec6436ee60309,     //   -0.2741,   -0.9617
+    0xbfd172a0d7765177,     0xbfeec9b2d3c3bf84,     //  -0.27262,  -0.96212
+    0xbfd15a713a28b9d9,     0xbfeecd1d792c8f10,     //  -0.27115,  -0.96254
+    0xbfd1423eefc69378,     0xbfeed0835e999009,     //  -0.26967,  -0.96295
+    0xbfd12a09fc0b1b12,     0xbfeed3e483849c51,     //  -0.26819,  -0.96337
+    0xbfd111d262b1f677,     0xbfeed740e7684963,     //  -0.26671,  -0.96378
+    0xbfd0f998277733f7,     0xbfeeda9889bfe86a,     //  -0.26523,  -0.96418
+    0xbfd0e15b4e1749cd,     0xbfeeddeb6a078651,     //  -0.26375,  -0.96459
+    0xbfd0c91bda4f158d,     0xbfeee13987bbebdc,     //  -0.26227,  -0.96499
+    0xbfd0b0d9cfdbdb90,     0xbfeee482e25a9dbc,     //  -0.26079,  -0.96539
+    0xbfd09895327b465e,     0xbfeee7c77961dc9e,     //  -0.25931,  -0.96579
+    0xbfd0804e05eb661e,     0xbfeeeb074c50a544,     //  -0.25783,  -0.96619
+    0xbfd068044deab002,     0xbfeeee425aa6b09a,     //  -0.25635,  -0.96658
+    0xbfd04fb80e37fdae,     0xbfeef178a3e473c2,     //  -0.25487,  -0.96698
+    0xbfd037694a928cac,     0xbfeef4aa278b2032,     //  -0.25338,  -0.96737
+    0xbfd01f1806b9fdd2,     0xbfeef7d6e51ca3c0,     //   -0.2519,  -0.96775
+    0xbfd006c4466e54af,     0xbfeefafedc1ba8b7,     //  -0.25041,  -0.96814
+    0xbfcfdcdc1adfedf8,     0xbfeefe220c0b95ec,     //  -0.24893,  -0.96852
+    0xbfcfac2abeff57ff,     0xbfef014074708ed3,     //  -0.24744,   -0.9689
+    0xbfcf7b7480bd3801,     0xbfef045a14cf738c,     //  -0.24596,  -0.96928
+    0xbfcf4ab9679c9f5c,     0xbfef076eecade0fa,     //  -0.24447,  -0.96966
+    0xbfcf19f97b215f1a,     0xbfef0a7efb9230d7,     //  -0.24298,  -0.97003
+    0xbfcee934c2d006c7,     0xbfef0d8a410379c5,     //  -0.24149,   -0.9704
+    0xbfceb86b462de348,     0xbfef1090bc898f5f,     //     -0.24,  -0.97077
+    0xbfce879d0cc0fdaf,     0xbfef13926dad024e,     //  -0.23851,  -0.97114
+    0xbfce56ca1e101a1b,     0xbfef168f53f7205d,     //  -0.23702,   -0.9715
+    0xbfce25f281a2b684,     0xbfef19876ef1f486,     //  -0.23553,  -0.97187
+    0xbfcdf5163f01099a,     0xbfef1c7abe284708,     //  -0.23404,  -0.97223
+    0xbfcdc4355db40195,     0xbfef1f6941259d7a,     //  -0.23255,  -0.97258
+    0xbfcd934fe5454311,     0xbfef2252f7763ada,     //  -0.23106,  -0.97294
+    0xbfcd6265dd3f27e3,     0xbfef2537e0a71f9f,     //  -0.22957,  -0.97329
+    0xbfcd31774d2cbdee,     0xbfef2817fc4609ce,     //  -0.22807,  -0.97364
+    0xbfcd00843c99c5f9,     0xbfef2af349e17507,     //  -0.22658,  -0.97399
+    0xbfcccf8cb312b286,     0xbfef2dc9c9089a9d,     //  -0.22508,  -0.97434
+    0xbfcc9e90b824a6a9,     0xbfef309b794b719f,     //  -0.22359,  -0.97468
+    0xbfcc6d90535d74dc,     0xbfef33685a3aaef0,     //  -0.22209,  -0.97503
+    0xbfcc3c8b8c4b9dd7,     0xbfef36306b67c556,     //   -0.2206,  -0.97536
+    0xbfcc0b826a7e4f63,     0xbfef38f3ac64e589,     //   -0.2191,   -0.9757
+    0xbfcbda74f5856330,     0xbfef3bb21cc4fe47,     //   -0.2176,  -0.97604
+    0xbfcba96334f15dad,     0xbfef3e6bbc1bbc65,     //  -0.21611,  -0.97637
+    0xbfcb784d30536cda,     0xbfef412089fd8adc,     //  -0.21461,   -0.9767
+    0xbfcb4732ef3d6722,     0xbfef43d085ff92dd,     //  -0.21311,  -0.97703
+    0xbfcb16147941ca2a,     0xbfef467bafb7bbe0,     //  -0.21161,  -0.97735
+    0xbfcae4f1d5f3b9ab,     0xbfef492206bcabb4,     //  -0.21011,  -0.97768
+    0xbfcab3cb0ce6fe44,     0xbfef4bc38aa5c694,     //  -0.20861,    -0.978
+    0xbfca82a025b00451,     0xbfef4e603b0b2f2d,     //  -0.20711,  -0.97832
+    0xbfca517127e3dabc,     0xbfef50f81785c6b9,     //  -0.20561,  -0.97863
+    0xbfca203e1b1831da,     0xbfef538b1faf2d07,     //  -0.20411,  -0.97895
+    0xbfc9ef0706e35a35,     0xbfef56195321c090,     //  -0.20261,  -0.97926
+    0xbfc9bdcbf2dc4366,     0xbfef58a2b1789e84,     //   -0.2011,  -0.97957
+    0xbfc98c8ce69a7aec,     0xbfef5b273a4fa2d9,     //   -0.1996,  -0.97988
+    0xbfc95b49e9b62af9,     0xbfef5da6ed43685d,     //   -0.1981,  -0.98018
+    0xbfc92a0303c8194f,     0xbfef6021c9f148c2,     //  -0.19659,  -0.98048
+    0xbfc8f8b83c69a60a,     0xbfef6297cff75cb0,     //  -0.19509,  -0.98079
+    0xbfc8c7699b34ca7e,     0xbfef6508fef47bd5,     //  -0.19359,  -0.98108
+    0xbfc8961727c41804,     0xbfef677556883cee,     //  -0.19208,  -0.98138
+    0xbfc864c0e9b2b6cf,     0xbfef69dcd652f5de,     //  -0.19057,  -0.98167
+    0xbfc83366e89c64c5,     0xbfef6c3f7df5bbb7,     //  -0.18907,  -0.98196
+    0xbfc802092c1d744b,     0xbfef6e9d4d1262ca,     //  -0.18756,  -0.98225
+    0xbfc7d0a7bbd2cb1b,     0xbfef70f6434b7eb7,     //  -0.18606,  -0.98254
+    0xbfc79f429f59e11d,     0xbfef734a60446279,     //  -0.18455,  -0.98282
+    0xbfc76dd9de50bf31,     0xbfef7599a3a12077,     //  -0.18304,  -0.98311
+    0xbfc73c6d8055fe0a,     0xbfef77e40d068a90,     //  -0.18153,  -0.98339
+    0xbfc70afd8d08c4ff,     0xbfef7a299c1a322a,     //  -0.18002,  -0.98366
+    0xbfc6d98a0c08c8da,     0xbfef7c6a50826840,     //  -0.17851,  -0.98394
+    0xbfc6a81304f64ab2,     0xbfef7ea629e63d6e,     //    -0.177,  -0.98421
+    0xbfc676987f7216b8,     0xbfef80dd27ed8204,     //  -0.17549,  -0.98448
+    0xbfc6451a831d830d,     0xbfef830f4a40c60c,     //  -0.17398,  -0.98475
+    0xbfc61399179a6e94,     0xbfef853c9089595e,     //  -0.17247,  -0.98501
+    0xbfc5e214448b3fc6,     0xbfef8764fa714ba9,     //  -0.17096,  -0.98528
+    0xbfc5b08c1192e381,     0xbfef898887a36c84,     //  -0.16945,  -0.98554
+    0xbfc57f008654cbde,     0xbfef8ba737cb4b78,     //  -0.16794,   -0.9858
+    0xbfc54d71aa74ef02,     0xbfef8dc10a95380d,     //  -0.16643,  -0.98605
+    0xbfc51bdf8597c5f2,     0xbfef8fd5ffae41db,     //  -0.16491,  -0.98631
+    0xbfc4ea4a1f624b61,     0xbfef91e616c43891,     //   -0.1634,  -0.98656
+    0xbfc4b8b17f79fa88,     0xbfef93f14f85ac08,     //  -0.16189,  -0.98681
+    0xbfc48715ad84cdf5,     0xbfef95f7a9a1ec47,     //  -0.16037,  -0.98706
+    0xbfc45576b1293e5a,     0xbfef97f924c9099b,     //  -0.15886,   -0.9873
+    0xbfc423d4920e4166,     0xbfef99f5c0abd496,     //  -0.15734,  -0.98754
+    0xbfc3f22f57db4893,     0xbfef9bed7cfbde29,     //  -0.15583,  -0.98778
+    0xbfc3c0870a383ff6,     0xbfef9de0596b77a3,     //  -0.15431,  -0.98802
+    0xbfc38edbb0cd8d14,     0xbfef9fce55adb2c8,     //   -0.1528,  -0.98826
+    0xbfc35d2d53440db2,     0xbfefa1b7717661d5,     //  -0.15128,  -0.98849
+    0xbfc32b7bf94516a7,     0xbfefa39bac7a1791,     //  -0.14976,  -0.98872
+    0xbfc2f9c7aa7a72af,     0xbfefa57b066e2754,     //  -0.14825,  -0.98895
+    0xbfc2c8106e8e613a,     0xbfefa7557f08a517,     //  -0.14673,  -0.98918
+    0xbfc296564d2b953e,     0xbfefa92b1600657c,     //  -0.14521,   -0.9894
+    0xbfc264994dfd340a,     0xbfefaafbcb0cfddc,     //   -0.1437,  -0.98962
+    0xbfc232d978aed413,     0xbfefacc79de6c44f,     //  -0.14218,  -0.98984
+    0xbfc20116d4ec7bce,     0xbfefae8e8e46cfbb,     //  -0.14066,  -0.99006
+    0xbfc1cf516a62a077,     0xbfefb0509be6f7db,     //  -0.13914,  -0.99027
+    0xbfc19d8940be24e7,     0xbfefb20dc681d54d,     //  -0.13762,  -0.99049
+    0xbfc16bbe5fac5865,     0xbfefb3c60dd2c199,     //   -0.1361,   -0.9907
+    0xbfc139f0cedaf576,     0xbfefb5797195d741,     //  -0.13458,   -0.9909
+    0xbfc1082095f820b0,     0xbfefb727f187f1c7,     //  -0.13306,  -0.99111
+    0xbfc0d64dbcb26786,     0xbfefb8d18d66adb7,     //  -0.13154,  -0.99131
+    0xbfc0a4784ab8bf1d,     0xbfefba7644f068b5,     //  -0.13002,  -0.99151
+    0xbfc072a047ba831d,     0xbfefbc1617e44186,     //   -0.1285,  -0.99171
+    0xbfc040c5bb67747e,     0xbfefbdb106021816,     //  -0.12698,  -0.99191
+    0xbfc00ee8ad6fb85b,     0xbfefbf470f0a8d88,     //  -0.12545,   -0.9921
+    0xbfbfba124b07ad85,     0xbfefc0d832bf043a,     //  -0.12393,  -0.99229
+    0xbfbf564e56a9730e,     0xbfefc26470e19fd3,     //  -0.12241,  -0.99248
+    0xbfbef2858d27561b,     0xbfefc3ebc935454c,     //  -0.12089,  -0.99267
+    0xbfbe8eb7fde4aa3e,     0xbfefc56e3b7d9af6,     //  -0.11937,  -0.99285
+    0xbfbe2ae5b8457f77,     0xbfefc6ebc77f0887,     //  -0.11784,  -0.99303
+    0xbfbdc70ecbae9fc8,     0xbfefc8646cfeb721,     //  -0.11632,  -0.99321
+    0xbfbd633347858ce4,     0xbfefc9d82bc2915e,     //  -0.11479,  -0.99339
+    0xbfbcff533b307dc1,     0xbfefcb4703914354,     //  -0.11327,  -0.99356
+    0xbfbc9b6eb6165c42,     0xbfefccb0f4323aa3,     //  -0.11175,  -0.99374
+    0xbfbc3785c79ec2d5,     0xbfefce15fd6da67b,     //  -0.11022,  -0.99391
+    0xbfbbd3987f31fa0e,     0xbfefcf761f0c77a3,     //   -0.1087,  -0.99407
+    0xbfbb6fa6ec38f64c,     0xbfefd0d158d86087,     //  -0.10717,  -0.99424
+    0xbfbb0bb11e1d5559,     0xbfefd227aa9bd53b,     //  -0.10565,   -0.9944
+    0xbfbaa7b724495c04,     0xbfefd37914220b84,     //  -0.10412,  -0.99456
+    0xbfba43b90e27f3c4,     0xbfefd4c59536fae4,     //   -0.1026,  -0.99472
+    0xbfb9dfb6eb24a85c,     0xbfefd60d2da75c9e,     //  -0.10107,  -0.99488
+    0xbfb97bb0caaba56f,     0xbfefd74fdd40abbf,     // -0.099544,  -0.99503
+    0xbfb917a6bc29b42c,     0xbfefd88da3d12526,     // -0.098017,  -0.99518
+    0xbfb8b398cf0c38e0,     0xbfefd9c68127c78c,     //  -0.09649,  -0.99533
+    0xbfb84f8712c130a0,     0xbfefdafa7514538c,     // -0.094963,  -0.99548
+    0xbfb7eb7196b72ee4,     0xbfefdc297f674ba9,     // -0.093436,  -0.99563
+    0xbfb787586a5d5b21,     0xbfefdd539ff1f456,     // -0.091909,  -0.99577
+    0xbfb7233b9d236e71,     0xbfefde78d68653fd,     // -0.090381,  -0.99591
+    0xbfb6bf1b3e79b129,     0xbfefdf9922f73307,     // -0.088854,  -0.99604
+    0xbfb65af75dd0f87b,     0xbfefe0b485181be3,     // -0.087326,  -0.99618
+    0xbfb5f6d00a9aa419,     0xbfefe1cafcbd5b09,     // -0.085797,  -0.99631
+    0xbfb592a554489bc8,     0xbfefe2dc89bbff08,     // -0.084269,  -0.99644
+    0xbfb52e774a4d4d0a,     0xbfefe3e92be9d886,     //  -0.08274,  -0.99657
+    0xbfb4ca45fc1ba8b6,     0xbfefe4f0e31d7a4a,     // -0.081211,   -0.9967
+    0xbfb4661179272096,     0xbfefe5f3af2e3940,     // -0.079682,  -0.99682
+    0xbfb401d9d0e3a507,     0xbfefe6f18ff42c84,     // -0.078153,  -0.99694
+    0xbfb39d9f12c5a299,     0xbfefe7ea85482d60,     // -0.076624,  -0.99706
+    0xbfb339614e41ffa5,     0xbfefe8de8f03d75c,     // -0.075094,  -0.99718
+    0xbfb2d52092ce19f6,     0xbfefe9cdad01883a,     // -0.073565,  -0.99729
+    0xbfb270dcefdfc45b,     0xbfefeab7df1c6005,     // -0.072035,   -0.9974
+    0xbfb20c9674ed444c,     0xbfefeb9d2530410f,     // -0.070505,  -0.99751
+    0xbfb1a84d316d4f8a,     0xbfefec7d7f19cffc,     // -0.068974,  -0.99762
+    0xbfb1440134d709b2,     0xbfefed58ecb673c4,     // -0.067444,  -0.99772
+    0xbfb0dfb28ea201e6,     0xbfefee2f6de455ba,     // -0.065913,  -0.99783
+    0xbfb07b614e463064,     0xbfefef0102826191,     // -0.064383,  -0.99793
+    0xbfb0170d833bf421,     0xbfefefcdaa704562,     // -0.062852,  -0.99802
+    0xbfaf656e79f820e0,     0xbfeff095658e71ad,     // -0.061321,  -0.99812
+    0xbfae9cbd15ff5527,     0xbfeff15833be1965,     //  -0.05979,  -0.99821
+    0xbfadd406f9808ec8,     0xbfeff21614e131ed,     // -0.058258,   -0.9983
+    0xbfad0b4c436f91d0,     0xbfeff2cf08da7321,     // -0.056727,  -0.99839
+    0xbfac428d12c0d7e3,     0xbfeff3830f8d575c,     // -0.055195,  -0.99848
+    0xbfab79c986698b78,     0xbfeff43228de1b77,     // -0.053664,  -0.99856
+    0xbfaab101bd5f8317,     0xbfeff4dc54b1bed3,     // -0.052132,  -0.99864
+    0xbfa9e835d6993c87,     0xbfeff58192ee0358,     //   -0.0506,  -0.99872
+    0xbfa91f65f10dd814,     0xbfeff621e3796d7e,     // -0.049068,   -0.9988
+    0xbfa856922bb513c1,     0xbfeff6bd463b444d,     // -0.047535,  -0.99887
+    0xbfa78dbaa5874685,     0xbfeff753bb1b9164,     // -0.046003,  -0.99894
+    0xbfa6c4df7d7d5b84,     0xbfeff7e5420320f9,     // -0.044471,  -0.99901
+    0xbfa5fc00d290cd43,     0xbfeff871dadb81df,     // -0.042938,  -0.99908
+    0xbfa5331ec3bba0eb,     0xbfeff8f9858f058b,     // -0.041406,  -0.99914
+    0xbfa46a396ff86179,     0xbfeff97c4208c014,     // -0.039873,   -0.9992
+    0xbfa3a150f6421afc,     0xbfeff9fa10348837,     //  -0.03834,  -0.99926
+    0xbfa2d865759455cd,     0xbfeffa72effef75d,     // -0.036807,  -0.99932
+    0xbfa20f770ceb11c6,     0xbfeffae6e1556998,     // -0.035274,  -0.99938
+    0xbfa14685db42c17e,     0xbfeffb55e425fdae,     // -0.033741,  -0.99943
+    0xbfa07d91ff984580,     0xbfeffbbff85f9515,     // -0.032208,  -0.99948
+    0xbf9f693731d1cf01,     0xbfeffc251df1d3f8,     // -0.030675,  -0.99953
+    0xbf9dd7458c64ab39,     0xbfeffc8554cd213a,     // -0.029142,  -0.99958
+    0xbf9c454f4ce53b1c,     0xbfeffce09ce2a679,     // -0.027608,  -0.99962
+    0xbf9ab354b1504fca,     0xbfeffd36f624500c,     // -0.026075,  -0.99966
+    0xbf992155f7a3667e,     0xbfeffd886084cd0d,     // -0.024541,   -0.9997
+    0xbf978f535ddc9f03,     0xbfeffdd4dbf78f52,     // -0.023008,  -0.99974
+    0xbf95fd4d21fab226,     0xbfeffe1c6870cb77,     // -0.021474,  -0.99977
+    0xbf946b4381fce81c,     0xbfeffe5f05e578db,     //  -0.01994,   -0.9998
+    0xbf92d936bbe30efd,     0xbfeffe9cb44b51a1,     // -0.018407,  -0.99983
+    0xbf9147270dad7132,     0xbfeffed57398d2b7,     // -0.016873,  -0.99986
+    0xbf8f6a296ab997ca,     0xbfefff0943c53bd1,     // -0.015339,  -0.99988
+    0xbf8c45ffe1e48ad9,     0xbfefff3824c88f6f,     // -0.013805,   -0.9999
+    0xbf8921d1fcdec784,     0xbfefff62169b92db,     // -0.012272,  -0.99992
+    0xbf85fda037ac05e0,     0xbfefff871937ce2f,     // -0.010738,  -0.99994
+    0xbf82d96b0e509703,     0xbfefffa72c978c4f,     //-0.0092038,  -0.99996
+    0xbf7f6a65f9a2a3c5,     0xbfefffc250b5daef,     //-0.0076698,  -0.99997
+    0xbf7921f0fe670071,     0xbfefffd8858e8a92,     //-0.0061359,  -0.99998
+    0xbf72d97822f996bc,     0xbfefffe9cb1e2e8d,     //-0.0046019,  -0.99999
+    0xbf6921f8becca4ba,     0xbfeffff621621d02,     // -0.003068,        -1
+    0xbf5921faaee6472d,     0xbfeffffd88586ee6,     // -0.001534,        -1
+    0x0000000000000000,     0xbff0000000000000,     //         0,        -1
+    0x3f5921faaee6472d,     0xbfeffffd88586ee6,     //  0.001534,        -1
+    0x3f6921f8becca4ba,     0xbfeffff621621d02,     //  0.003068,        -1
+    0x3f72d97822f996bc,     0xbfefffe9cb1e2e8d,     // 0.0046019,  -0.99999
+    0x3f7921f0fe670071,     0xbfefffd8858e8a92,     // 0.0061359,  -0.99998
+    0x3f7f6a65f9a2a3c5,     0xbfefffc250b5daef,     // 0.0076698,  -0.99997
+    0x3f82d96b0e509703,     0xbfefffa72c978c4f,     // 0.0092038,  -0.99996
+    0x3f85fda037ac05e0,     0xbfefff871937ce2f,     //  0.010738,  -0.99994
+    0x3f8921d1fcdec784,     0xbfefff62169b92db,     //  0.012272,  -0.99992
+    0x3f8c45ffe1e48ad9,     0xbfefff3824c88f6f,     //  0.013805,   -0.9999
+    0x3f8f6a296ab997ca,     0xbfefff0943c53bd1,     //  0.015339,  -0.99988
+    0x3f9147270dad7132,     0xbfeffed57398d2b7,     //  0.016873,  -0.99986
+    0x3f92d936bbe30efd,     0xbfeffe9cb44b51a1,     //  0.018407,  -0.99983
+    0x3f946b4381fce81c,     0xbfeffe5f05e578db,     //   0.01994,   -0.9998
+    0x3f95fd4d21fab226,     0xbfeffe1c6870cb77,     //  0.021474,  -0.99977
+    0x3f978f535ddc9f03,     0xbfeffdd4dbf78f52,     //  0.023008,  -0.99974
+    0x3f992155f7a3667e,     0xbfeffd886084cd0d,     //  0.024541,   -0.9997
+    0x3f9ab354b1504fca,     0xbfeffd36f624500c,     //  0.026075,  -0.99966
+    0x3f9c454f4ce53b1c,     0xbfeffce09ce2a679,     //  0.027608,  -0.99962
+    0x3f9dd7458c64ab39,     0xbfeffc8554cd213a,     //  0.029142,  -0.99958
+    0x3f9f693731d1cf01,     0xbfeffc251df1d3f8,     //  0.030675,  -0.99953
+    0x3fa07d91ff984580,     0xbfeffbbff85f9515,     //  0.032208,  -0.99948
+    0x3fa14685db42c17e,     0xbfeffb55e425fdae,     //  0.033741,  -0.99943
+    0x3fa20f770ceb11c6,     0xbfeffae6e1556998,     //  0.035274,  -0.99938
+    0x3fa2d865759455cd,     0xbfeffa72effef75d,     //  0.036807,  -0.99932
+    0x3fa3a150f6421afc,     0xbfeff9fa10348837,     //   0.03834,  -0.99926
+    0x3fa46a396ff86179,     0xbfeff97c4208c014,     //  0.039873,   -0.9992
+    0x3fa5331ec3bba0eb,     0xbfeff8f9858f058b,     //  0.041406,  -0.99914
+    0x3fa5fc00d290cd43,     0xbfeff871dadb81df,     //  0.042938,  -0.99908
+    0x3fa6c4df7d7d5b84,     0xbfeff7e5420320f9,     //  0.044471,  -0.99901
+    0x3fa78dbaa5874685,     0xbfeff753bb1b9164,     //  0.046003,  -0.99894
+    0x3fa856922bb513c1,     0xbfeff6bd463b444d,     //  0.047535,  -0.99887
+    0x3fa91f65f10dd814,     0xbfeff621e3796d7e,     //  0.049068,   -0.9988
+    0x3fa9e835d6993c87,     0xbfeff58192ee0358,     //    0.0506,  -0.99872
+    0x3faab101bd5f8317,     0xbfeff4dc54b1bed3,     //  0.052132,  -0.99864
+    0x3fab79c986698b78,     0xbfeff43228de1b77,     //  0.053664,  -0.99856
+    0x3fac428d12c0d7e3,     0xbfeff3830f8d575c,     //  0.055195,  -0.99848
+    0x3fad0b4c436f91d0,     0xbfeff2cf08da7321,     //  0.056727,  -0.99839
+    0x3fadd406f9808ec8,     0xbfeff21614e131ed,     //  0.058258,   -0.9983
+    0x3fae9cbd15ff5527,     0xbfeff15833be1965,     //   0.05979,  -0.99821
+    0x3faf656e79f820e0,     0xbfeff095658e71ad,     //  0.061321,  -0.99812
+    0x3fb0170d833bf421,     0xbfefefcdaa704562,     //  0.062852,  -0.99802
+    0x3fb07b614e463064,     0xbfefef0102826191,     //  0.064383,  -0.99793
+    0x3fb0dfb28ea201e6,     0xbfefee2f6de455ba,     //  0.065913,  -0.99783
+    0x3fb1440134d709b2,     0xbfefed58ecb673c4,     //  0.067444,  -0.99772
+    0x3fb1a84d316d4f8a,     0xbfefec7d7f19cffc,     //  0.068974,  -0.99762
+    0x3fb20c9674ed444c,     0xbfefeb9d2530410f,     //  0.070505,  -0.99751
+    0x3fb270dcefdfc45b,     0xbfefeab7df1c6005,     //  0.072035,   -0.9974
+    0x3fb2d52092ce19f6,     0xbfefe9cdad01883a,     //  0.073565,  -0.99729
+    0x3fb339614e41ffa5,     0xbfefe8de8f03d75c,     //  0.075094,  -0.99718
+    0x3fb39d9f12c5a299,     0xbfefe7ea85482d60,     //  0.076624,  -0.99706
+    0x3fb401d9d0e3a507,     0xbfefe6f18ff42c84,     //  0.078153,  -0.99694
+    0x3fb4661179272096,     0xbfefe5f3af2e3940,     //  0.079682,  -0.99682
+    0x3fb4ca45fc1ba8b6,     0xbfefe4f0e31d7a4a,     //  0.081211,   -0.9967
+    0x3fb52e774a4d4d0a,     0xbfefe3e92be9d886,     //   0.08274,  -0.99657
+    0x3fb592a554489bc8,     0xbfefe2dc89bbff08,     //  0.084269,  -0.99644
+    0x3fb5f6d00a9aa419,     0xbfefe1cafcbd5b09,     //  0.085797,  -0.99631
+    0x3fb65af75dd0f87b,     0xbfefe0b485181be3,     //  0.087326,  -0.99618
+    0x3fb6bf1b3e79b129,     0xbfefdf9922f73307,     //  0.088854,  -0.99604
+    0x3fb7233b9d236e71,     0xbfefde78d68653fd,     //  0.090381,  -0.99591
+    0x3fb787586a5d5b21,     0xbfefdd539ff1f456,     //  0.091909,  -0.99577
+    0x3fb7eb7196b72ee4,     0xbfefdc297f674ba9,     //  0.093436,  -0.99563
+    0x3fb84f8712c130a0,     0xbfefdafa7514538c,     //  0.094963,  -0.99548
+    0x3fb8b398cf0c38e0,     0xbfefd9c68127c78c,     //   0.09649,  -0.99533
+    0x3fb917a6bc29b42c,     0xbfefd88da3d12526,     //  0.098017,  -0.99518
+    0x3fb97bb0caaba56f,     0xbfefd74fdd40abbf,     //  0.099544,  -0.99503
+    0x3fb9dfb6eb24a85c,     0xbfefd60d2da75c9e,     //   0.10107,  -0.99488
+    0x3fba43b90e27f3c4,     0xbfefd4c59536fae4,     //    0.1026,  -0.99472
+    0x3fbaa7b724495c04,     0xbfefd37914220b84,     //   0.10412,  -0.99456
+    0x3fbb0bb11e1d5559,     0xbfefd227aa9bd53b,     //   0.10565,   -0.9944
+    0x3fbb6fa6ec38f64c,     0xbfefd0d158d86087,     //   0.10717,  -0.99424
+    0x3fbbd3987f31fa0e,     0xbfefcf761f0c77a3,     //    0.1087,  -0.99407
+    0x3fbc3785c79ec2d5,     0xbfefce15fd6da67b,     //   0.11022,  -0.99391
+    0x3fbc9b6eb6165c42,     0xbfefccb0f4323aa3,     //   0.11175,  -0.99374
+    0x3fbcff533b307dc1,     0xbfefcb4703914354,     //   0.11327,  -0.99356
+    0x3fbd633347858ce4,     0xbfefc9d82bc2915e,     //   0.11479,  -0.99339
+    0x3fbdc70ecbae9fc8,     0xbfefc8646cfeb721,     //   0.11632,  -0.99321
+    0x3fbe2ae5b8457f77,     0xbfefc6ebc77f0887,     //   0.11784,  -0.99303
+    0x3fbe8eb7fde4aa3e,     0xbfefc56e3b7d9af6,     //   0.11937,  -0.99285
+    0x3fbef2858d27561b,     0xbfefc3ebc935454c,     //   0.12089,  -0.99267
+    0x3fbf564e56a9730e,     0xbfefc26470e19fd3,     //   0.12241,  -0.99248
+    0x3fbfba124b07ad85,     0xbfefc0d832bf043a,     //   0.12393,  -0.99229
+    0x3fc00ee8ad6fb85b,     0xbfefbf470f0a8d88,     //   0.12545,   -0.9921
+    0x3fc040c5bb67747e,     0xbfefbdb106021816,     //   0.12698,  -0.99191
+    0x3fc072a047ba831d,     0xbfefbc1617e44186,     //    0.1285,  -0.99171
+    0x3fc0a4784ab8bf1d,     0xbfefba7644f068b5,     //   0.13002,  -0.99151
+    0x3fc0d64dbcb26786,     0xbfefb8d18d66adb7,     //   0.13154,  -0.99131
+    0x3fc1082095f820b0,     0xbfefb727f187f1c7,     //   0.13306,  -0.99111
+    0x3fc139f0cedaf576,     0xbfefb5797195d741,     //   0.13458,   -0.9909
+    0x3fc16bbe5fac5865,     0xbfefb3c60dd2c199,     //    0.1361,   -0.9907
+    0x3fc19d8940be24e7,     0xbfefb20dc681d54d,     //   0.13762,  -0.99049
+    0x3fc1cf516a62a077,     0xbfefb0509be6f7db,     //   0.13914,  -0.99027
+    0x3fc20116d4ec7bce,     0xbfefae8e8e46cfbb,     //   0.14066,  -0.99006
+    0x3fc232d978aed413,     0xbfefacc79de6c44f,     //   0.14218,  -0.98984
+    0x3fc264994dfd340a,     0xbfefaafbcb0cfddc,     //    0.1437,  -0.98962
+    0x3fc296564d2b953e,     0xbfefa92b1600657c,     //   0.14521,   -0.9894
+    0x3fc2c8106e8e613a,     0xbfefa7557f08a517,     //   0.14673,  -0.98918
+    0x3fc2f9c7aa7a72af,     0xbfefa57b066e2754,     //   0.14825,  -0.98895
+    0x3fc32b7bf94516a7,     0xbfefa39bac7a1791,     //   0.14976,  -0.98872
+    0x3fc35d2d53440db2,     0xbfefa1b7717661d5,     //   0.15128,  -0.98849
+    0x3fc38edbb0cd8d14,     0xbfef9fce55adb2c8,     //    0.1528,  -0.98826
+    0x3fc3c0870a383ff6,     0xbfef9de0596b77a3,     //   0.15431,  -0.98802
+    0x3fc3f22f57db4893,     0xbfef9bed7cfbde29,     //   0.15583,  -0.98778
+    0x3fc423d4920e4166,     0xbfef99f5c0abd496,     //   0.15734,  -0.98754
+    0x3fc45576b1293e5a,     0xbfef97f924c9099b,     //   0.15886,   -0.9873
+    0x3fc48715ad84cdf5,     0xbfef95f7a9a1ec47,     //   0.16037,  -0.98706
+    0x3fc4b8b17f79fa88,     0xbfef93f14f85ac08,     //   0.16189,  -0.98681
+    0x3fc4ea4a1f624b61,     0xbfef91e616c43891,     //    0.1634,  -0.98656
+    0x3fc51bdf8597c5f2,     0xbfef8fd5ffae41db,     //   0.16491,  -0.98631
+    0x3fc54d71aa74ef02,     0xbfef8dc10a95380d,     //   0.16643,  -0.98605
+    0x3fc57f008654cbde,     0xbfef8ba737cb4b78,     //   0.16794,   -0.9858
+    0x3fc5b08c1192e381,     0xbfef898887a36c84,     //   0.16945,  -0.98554
+    0x3fc5e214448b3fc6,     0xbfef8764fa714ba9,     //   0.17096,  -0.98528
+    0x3fc61399179a6e94,     0xbfef853c9089595e,     //   0.17247,  -0.98501
+    0x3fc6451a831d830d,     0xbfef830f4a40c60c,     //   0.17398,  -0.98475
+    0x3fc676987f7216b8,     0xbfef80dd27ed8204,     //   0.17549,  -0.98448
+    0x3fc6a81304f64ab2,     0xbfef7ea629e63d6e,     //     0.177,  -0.98421
+    0x3fc6d98a0c08c8da,     0xbfef7c6a50826840,     //   0.17851,  -0.98394
+    0x3fc70afd8d08c4ff,     0xbfef7a299c1a322a,     //   0.18002,  -0.98366
+    0x3fc73c6d8055fe0a,     0xbfef77e40d068a90,     //   0.18153,  -0.98339
+    0x3fc76dd9de50bf31,     0xbfef7599a3a12077,     //   0.18304,  -0.98311
+    0x3fc79f429f59e11d,     0xbfef734a60446279,     //   0.18455,  -0.98282
+    0x3fc7d0a7bbd2cb1b,     0xbfef70f6434b7eb7,     //   0.18606,  -0.98254
+    0x3fc802092c1d744b,     0xbfef6e9d4d1262ca,     //   0.18756,  -0.98225
+    0x3fc83366e89c64c5,     0xbfef6c3f7df5bbb7,     //   0.18907,  -0.98196
+    0x3fc864c0e9b2b6cf,     0xbfef69dcd652f5de,     //   0.19057,  -0.98167
+    0x3fc8961727c41804,     0xbfef677556883cee,     //   0.19208,  -0.98138
+    0x3fc8c7699b34ca7e,     0xbfef6508fef47bd5,     //   0.19359,  -0.98108
+    0x3fc8f8b83c69a60a,     0xbfef6297cff75cb0,     //   0.19509,  -0.98079
+    0x3fc92a0303c8194f,     0xbfef6021c9f148c2,     //   0.19659,  -0.98048
+    0x3fc95b49e9b62af9,     0xbfef5da6ed43685d,     //    0.1981,  -0.98018
+    0x3fc98c8ce69a7aec,     0xbfef5b273a4fa2d9,     //    0.1996,  -0.97988
+    0x3fc9bdcbf2dc4366,     0xbfef58a2b1789e84,     //    0.2011,  -0.97957
+    0x3fc9ef0706e35a35,     0xbfef56195321c090,     //   0.20261,  -0.97926
+    0x3fca203e1b1831da,     0xbfef538b1faf2d07,     //   0.20411,  -0.97895
+    0x3fca517127e3dabc,     0xbfef50f81785c6b9,     //   0.20561,  -0.97863
+    0x3fca82a025b00451,     0xbfef4e603b0b2f2d,     //   0.20711,  -0.97832
+    0x3fcab3cb0ce6fe44,     0xbfef4bc38aa5c694,     //   0.20861,    -0.978
+    0x3fcae4f1d5f3b9ab,     0xbfef492206bcabb4,     //   0.21011,  -0.97768
+    0x3fcb16147941ca2a,     0xbfef467bafb7bbe0,     //   0.21161,  -0.97735
+    0x3fcb4732ef3d6722,     0xbfef43d085ff92dd,     //   0.21311,  -0.97703
+    0x3fcb784d30536cda,     0xbfef412089fd8adc,     //   0.21461,   -0.9767
+    0x3fcba96334f15dad,     0xbfef3e6bbc1bbc65,     //   0.21611,  -0.97637
+    0x3fcbda74f5856330,     0xbfef3bb21cc4fe47,     //    0.2176,  -0.97604
+    0x3fcc0b826a7e4f63,     0xbfef38f3ac64e589,     //    0.2191,   -0.9757
+    0x3fcc3c8b8c4b9dd7,     0xbfef36306b67c556,     //    0.2206,  -0.97536
+    0x3fcc6d90535d74dc,     0xbfef33685a3aaef0,     //   0.22209,  -0.97503
+    0x3fcc9e90b824a6a9,     0xbfef309b794b719f,     //   0.22359,  -0.97468
+    0x3fcccf8cb312b286,     0xbfef2dc9c9089a9d,     //   0.22508,  -0.97434
+    0x3fcd00843c99c5f9,     0xbfef2af349e17507,     //   0.22658,  -0.97399
+    0x3fcd31774d2cbdee,     0xbfef2817fc4609ce,     //   0.22807,  -0.97364
+    0x3fcd6265dd3f27e3,     0xbfef2537e0a71f9f,     //   0.22957,  -0.97329
+    0x3fcd934fe5454311,     0xbfef2252f7763ada,     //   0.23106,  -0.97294
+    0x3fcdc4355db40195,     0xbfef1f6941259d7a,     //   0.23255,  -0.97258
+    0x3fcdf5163f01099a,     0xbfef1c7abe284708,     //   0.23404,  -0.97223
+    0x3fce25f281a2b684,     0xbfef19876ef1f486,     //   0.23553,  -0.97187
+    0x3fce56ca1e101a1b,     0xbfef168f53f7205d,     //   0.23702,   -0.9715
+    0x3fce879d0cc0fdaf,     0xbfef13926dad024e,     //   0.23851,  -0.97114
+    0x3fceb86b462de348,     0xbfef1090bc898f5f,     //      0.24,  -0.97077
+    0x3fcee934c2d006c7,     0xbfef0d8a410379c5,     //   0.24149,   -0.9704
+    0x3fcf19f97b215f1a,     0xbfef0a7efb9230d7,     //   0.24298,  -0.97003
+    0x3fcf4ab9679c9f5c,     0xbfef076eecade0fa,     //   0.24447,  -0.96966
+    0x3fcf7b7480bd3801,     0xbfef045a14cf738c,     //   0.24596,  -0.96928
+    0x3fcfac2abeff57ff,     0xbfef014074708ed3,     //   0.24744,   -0.9689
+    0x3fcfdcdc1adfedf8,     0xbfeefe220c0b95ec,     //   0.24893,  -0.96852
+    0x3fd006c4466e54af,     0xbfeefafedc1ba8b7,     //   0.25041,  -0.96814
+    0x3fd01f1806b9fdd2,     0xbfeef7d6e51ca3c0,     //    0.2519,  -0.96775
+    0x3fd037694a928cac,     0xbfeef4aa278b2032,     //   0.25338,  -0.96737
+    0x3fd04fb80e37fdae,     0xbfeef178a3e473c2,     //   0.25487,  -0.96698
+    0x3fd068044deab002,     0xbfeeee425aa6b09a,     //   0.25635,  -0.96658
+    0x3fd0804e05eb661e,     0xbfeeeb074c50a544,     //   0.25783,  -0.96619
+    0x3fd09895327b465e,     0xbfeee7c77961dc9e,     //   0.25931,  -0.96579
+    0x3fd0b0d9cfdbdb90,     0xbfeee482e25a9dbc,     //   0.26079,  -0.96539
+    0x3fd0c91bda4f158d,     0xbfeee13987bbebdc,     //   0.26227,  -0.96499
+    0x3fd0e15b4e1749cd,     0xbfeeddeb6a078651,     //   0.26375,  -0.96459
+    0x3fd0f998277733f7,     0xbfeeda9889bfe86a,     //   0.26523,  -0.96418
+    0x3fd111d262b1f677,     0xbfeed740e7684963,     //   0.26671,  -0.96378
+    0x3fd12a09fc0b1b12,     0xbfeed3e483849c51,     //   0.26819,  -0.96337
+    0x3fd1423eefc69378,     0xbfeed0835e999009,     //   0.26967,  -0.96295
+    0x3fd15a713a28b9d9,     0xbfeecd1d792c8f10,     //   0.27115,  -0.96254
+    0x3fd172a0d7765177,     0xbfeec9b2d3c3bf84,     //   0.27262,  -0.96212
+    0x3fd18acdc3f4873a,     0xbfeec6436ee60309,     //    0.2741,   -0.9617
+    0x3fd1a2f7fbe8f243,     0xbfeec2cf4b1af6b2,     //   0.27557,  -0.96128
+    0x3fd1bb1f7b999480,     0xbfeebf5668eaf2ef,     //   0.27705,  -0.96086
+    0x3fd1d3443f4cdb3d,     0xbfeebbd8c8df0b74,     //   0.27852,  -0.96043
+    0x3fd1eb6643499fbb,     0xbfeeb8566b810f2a,     //   0.27999,     -0.96
+    0x3fd2038583d727bd,     0xbfeeb4cf515b8811,     //   0.28146,  -0.95957
+    0x3fd21ba1fd3d2623,     0xbfeeb1437af9bb34,     //   0.28294,  -0.95914
+    0x3fd233bbabc3bb72,     0xbfeeadb2e8e7a88e,     //   0.28441,   -0.9587
+    0x3fd24bd28bb37672,     0xbfeeaa1d9bb20af3,     //   0.28588,  -0.95827
+    0x3fd263e6995554ba,     0xbfeea68393e65800,     //   0.28735,  -0.95783
+    0x3fd27bf7d0f2c346,     0xbfeea2e4d212c000,     //   0.28882,  -0.95738
+    0x3fd294062ed59f05,     0xbfee9f4156c62dda,     //   0.29028,  -0.95694
+    0x3fd2ac11af483572,     0xbfee9b99229046f8,     //   0.29175,  -0.95649
+    0x3fd2c41a4e954520,     0xbfee97ec36016b30,     //   0.29322,  -0.95605
+    0x3fd2dc200907fe51,     0xbfee943a91aab4b4,     //   0.29469,  -0.95559
+    0x3fd2f422daec0386,     0xbfee9084361df7f3,     //   0.29615,  -0.95514
+    0x3fd30c22c08d6a13,     0xbfee8cc923edc388,     //   0.29762,  -0.95469
+    0x3fd3241fb638baaf,     0xbfee89095bad6025,     //   0.29908,  -0.95423
+    0x3fd33c19b83af207,     0xbfee8544ddf0d075,     //   0.30054,  -0.95377
+    0x3fd35410c2e18152,     0xbfee817bab4cd10d,     //   0.30201,  -0.95331
+    0x3fd36c04d27a4edf,     0xbfee7dadc456d850,     //   0.30347,  -0.95284
+    0x3fd383f5e353b6aa,     0xbfee79db29a5165a,     //   0.30493,  -0.95238
+    0x3fd39be3f1bc8aef,     0xbfee7603dbce74e9,     //   0.30639,  -0.95191
+    0x3fd3b3cefa0414b7,     0xbfee7227db6a9744,     //   0.30785,  -0.95144
+    0x3fd3cbb6f87a146e,     0xbfee6e472911da27,     //   0.30931,  -0.95096
+    0x3fd3e39be96ec271,     0xbfee6a61c55d53a7,     //   0.31077,  -0.95049
+    0x3fd3fb7dc932cfa4,     0xbfee6677b0e6d31e,     //   0.31222,  -0.95001
+    0x3fd4135c94176602,     0xbfee6288ec48e112,     //   0.31368,  -0.94953
+    0x3fd42b38466e2928,     0xbfee5e95781ebf1c,     //   0.31514,  -0.94905
+    0x3fd44310dc8936f0,     0xbfee5a9d550467d3,     //   0.31659,  -0.94856
+    0x3fd45ae652bb2800,     0xbfee56a083968eb1,     //   0.31805,  -0.94807
+    0x3fd472b8a5571054,     0xbfee529f04729ffc,     //    0.3195,  -0.94759
+    0x3fd48a87d0b07fd7,     0xbfee4e98d836c0af,     //   0.32096,  -0.94709
+    0x3fd4a253d11b82f3,     0xbfee4a8dff81ce5e,     //   0.32241,   -0.9466
+    0x3fd4ba1ca2eca31c,     0xbfee467e7af35f23,     //   0.32386,  -0.94611
+    0x3fd4d1e24278e76a,     0xbfee426a4b2bc17e,     //   0.32531,  -0.94561
+    0x3fd4e9a4ac15d520,     0xbfee3e5170cbfc46,     //   0.32676,  -0.94511
+    0x3fd50163dc197047,     0xbfee3a33ec75ce85,     //   0.32821,   -0.9446
+    0x3fd5191fceda3c35,     0xbfee3611becbaf69,     //   0.32966,   -0.9441
+    0x3fd530d880af3c24,     0xbfee31eae870ce25,     //   0.33111,  -0.94359
+    0x3fd5488dedeff3be,     0xbfee2dbf6a0911d9,     //   0.33255,  -0.94308
+    0x3fd5604012f467b4,     0xbfee298f4439197a,     //     0.334,  -0.94257
+    0x3fd577eeec151e47,     0xbfee255a77a63bb8,     //   0.33545,  -0.94206
+    0x3fd58f9a75ab1fdd,     0xbfee212104f686e5,     //   0.33689,  -0.94154
+    0x3fd5a742ac0ff78d,     0xbfee1ce2ecd0c0d8,     //   0.33833,  -0.94103
+    0x3fd5bee78b9db3b6,     0xbfee18a02fdc66d9,     //   0.33978,  -0.94051
+    0x3fd5d68910aee686,     0xbfee1458cec1ad83,     //   0.34122,  -0.93998
+    0x3fd5ee27379ea693,     0xbfee100cca2980ac,     //   0.34266,  -0.93946
+    0x3fd605c1fcc88f63,     0xbfee0bbc22bd8349,     //    0.3441,  -0.93893
+    0x3fd61d595c88c203,     0xbfee0766d9280f54,     //   0.34554,   -0.9384
+    0x3fd634ed533be58e,     0xbfee030cee1435b8,     //   0.34698,  -0.93787
+    0x3fd64c7ddd3f27c6,     0xbfedfeae622dbe2b,     //   0.34842,  -0.93734
+    0x3fd6640af6f03d9e,     0xbfedfa4b3621271d,     //   0.34986,   -0.9368
+    0x3fd67b949cad63ca,     0xbfedf5e36a9ba59c,     //   0.35129,  -0.93627
+    0x3fd6931acad55f51,     0xbfedf177004b2534,     //   0.35273,  -0.93573
+    0x3fd6aa9d7dc77e16,     0xbfeded05f7de47da,     //   0.35416,  -0.93518
+    0x3fd6c21cb1e39771,     0xbfede890520465ce,     //    0.3556,  -0.93464
+    0x3fd6d998638a0cb5,     0xbfede4160f6d8d81,     //   0.35703,  -0.93409
+    0x3fd6f1108f1bc9c5,     0xbfeddf9730ca837b,     //   0.35846,  -0.93354
+    0x3fd7088530fa459e,     0xbfeddb13b6ccc23d,     //    0.3599,  -0.93299
+    0x3fd71ff6458782ec,     0xbfedd68ba2267a25,     //   0.36133,  -0.93244
+    0x3fd73763c9261092,     0xbfedd1fef38a915a,     //   0.36276,  -0.93188
+    0x3fd74ecdb8390a3e,     0xbfedcd6dabaca3a5,     //   0.36418,  -0.93133
+    0x3fd766340f2418f6,     0xbfedc8d7cb410260,     //   0.36561,  -0.93077
+    0x3fd77d96ca4b73a6,     0xbfedc43d52fcb453,     //   0.36704,  -0.93021
+    0x3fd794f5e613dfae,     0xbfedbf9e4395759a,     //   0.36847,  -0.92964
+    0x3fd7ac515ee2b172,     0xbfedbafa9dc1b78d,     //   0.36989,  -0.92907
+    0x3fd7c3a9311dcce7,     0xbfedb6526238a09b,     //   0.37132,  -0.92851
+    0x3fd7dafd592ba621,     0xbfedb1a591b20c38,     //   0.37274,  -0.92794
+    0x3fd7f24dd37341e3,     0xbfedacf42ce68ab9,     //   0.37416,  -0.92736
+    0x3fd8099a9c5c362d,     0xbfeda83e348f613b,     //   0.37559,  -0.92679
+    0x3fd820e3b04eaac4,     0xbfeda383a9668988,     //   0.37701,  -0.92621
+    0x3fd838290bb359c8,     0xbfed9ec48c26b1f3,     //   0.37843,  -0.92563
+    0x3fd84f6aaaf3903f,     0xbfed9a00dd8b3d46,     //   0.37985,  -0.92505
+    0x3fd866a88a792ea0,     0xbfed95389e50429b,     //   0.38127,  -0.92447
+    0x3fd87de2a6aea963,     0xbfed906bcf328d46,     //   0.38268,  -0.92388
+    0x3fd89518fbff098e,     0xbfed8b9a70ef9cb4,     //    0.3841,  -0.92329
+    0x3fd8ac4b86d5ed44,     0xbfed86c48445a450,     //   0.38552,   -0.9227
+    0x3fd8c37a439f884f,     0xbfed81ea09f38b63,     //   0.38693,  -0.92211
+    0x3fd8daa52ec8a4af,     0xbfed7d0b02b8ecf9,     //   0.38835,  -0.92151
+    0x3fd8f1cc44bea329,     0xbfed78276f5617c6,     //   0.38976,  -0.92092
+    0x3fd908ef81ef7bd1,     0xbfed733f508c0dff,     //   0.39117,  -0.92032
+    0x3fd9200ee2c9be97,     0xbfed6e52a71c8547,     //   0.39258,  -0.91972
+    0x3fd9372a63bc93d7,     0xbfed696173c9e68b,     //   0.39399,  -0.91911
+    0x3fd94e420137bce3,     0xbfed646bb7574de5,     //    0.3954,  -0.91851
+    0x3fd96555b7ab948f,     0xbfed5f7172888a7f,     //   0.39681,   -0.9179
+    0x3fd97c6583890fc2,     0xbfed5a72a6221e73,     //   0.39822,  -0.91729
+    0x3fd993716141bdfe,     0xbfed556f52e93eb1,     //   0.39962,  -0.91668
+    0x3fd9aa794d47c9ee,     0xbfed506779a3d2d9,     //   0.40103,  -0.91606
+    0x3fd9c17d440df9f2,     0xbfed4b5b1b187524,     //   0.40243,  -0.91545
+    0x3fd9d87d4207b0ab,     0xbfed464a380e7242,     //   0.40384,  -0.91483
+    0x3fd9ef7943a8ed8a,     0xbfed4134d14dc93a,     //   0.40524,  -0.91421
+    0x3fda067145664d57,     0xbfed3c1ae79f2b4e,     //   0.40664,  -0.91359
+    0x3fda1d6543b50ac0,     0xbfed36fc7bcbfbdc,     //   0.40804,  -0.91296
+    0x3fda34553b0afee5,     0xbfed31d98e9e503a,     //   0.40944,  -0.91234
+    0x3fda4b4127dea1e4,     0xbfed2cb220e0ef9f,     //   0.41084,  -0.91171
+    0x3fda622906a70b63,     0xbfed2786335f52fc,     //   0.41224,  -0.91107
+    0x3fda790cd3dbf31a,     0xbfed2255c6e5a4e1,     //   0.41364,  -0.91044
+    0x3fda8fec8bf5b166,     0xbfed1d20dc40c15c,     //   0.41503,  -0.90981
+    0x3fdaa6c82b6d3fc9,     0xbfed17e7743e35dc,     //   0.41643,  -0.90917
+    0x3fdabd9faebc3980,     0xbfed12a98fac410c,     //   0.41782,  -0.90853
+    0x3fdad473125cdc08,     0xbfed0d672f59d2b9,     //   0.41922,  -0.90789
+    0x3fdaeb4252ca07ab,     0xbfed082054168bac,     //   0.42061,  -0.90724
+    0x3fdb020d6c7f4009,     0xbfed02d4feb2bd92,     //     0.422,   -0.9066
+    0x3fdb18d45bf8aca6,     0xbfecfd852fff6ad4,     //   0.42339,  -0.90595
+    0x3fdb2f971db31972,     0xbfecf830e8ce467b,     //   0.42478,   -0.9053
+    0x3fdb4655ae2bf757,     0xbfecf2d829f1b40e,     //   0.42617,  -0.90464
+    0x3fdb5d1009e15cc0,     0xbfeced7af43cc773,     //   0.42756,  -0.90399
+    0x3fdb73c62d520624,     0xbfece819488344ce,     //   0.42894,  -0.90333
+    0x3fdb8a7814fd5693,     0xbfece2b32799a060,     //   0.43033,  -0.90267
+    0x3fdba125bd63583e,     0xbfecdd489254fe65,     //   0.43171,  -0.90201
+    0x3fdbb7cf2304bd01,     0xbfecd7d9898b32f6,     //   0.43309,  -0.90135
+    0x3fdbce744262deee,     0xbfecd2660e12c1e6,     //   0.43448,  -0.90068
+    0x3fdbe51517ffc0d9,     0xbfecccee20c2de9f,     //   0.43586,  -0.90002
+    0x3fdbfbb1a05e0edc,     0xbfecc771c2736c09,     //   0.43724,  -0.89935
+    0x3fdc1249d8011ee7,     0xbfecc1f0f3fcfc5c,     //   0.43862,  -0.89867
+    0x3fdc28ddbb6cf145,     0xbfecbc6bb638d10b,     //   0.43999,    -0.898
+    0x3fdc3f6d47263129,     0xbfecb6e20a00da99,     //   0.44137,  -0.89732
+    0x3fdc55f877b23537,     0xbfecb153f02fb87d,     //   0.44275,  -0.89665
+    0x3fdc6c7f4997000a,     0xbfecabc169a0b901,     //   0.44412,  -0.89597
+    0x3fdc8301b95b40c2,     0xbfeca62a772fd919,     //    0.4455,  -0.89528
+    0x3fdc997fc3865388,     0xbfeca08f19b9c449,     //   0.44687,   -0.8946
+    0x3fdcaff964a0421d,     0xbfec9aef521bd480,     //   0.44824,  -0.89391
+    0x3fdcc66e9931c45d,     0xbfec954b213411f5,     //   0.44961,  -0.89322
+    0x3fdcdcdf5dc440ce,     0xbfec8fa287e13305,     //   0.45098,  -0.89253
+    0x3fdcf34baee1cd21,     0xbfec89f587029c13,     //   0.45235,  -0.89184
+    0x3fdd09b389152ec1,     0xbfec84441f785f61,     //   0.45372,  -0.89115
+    0x3fdd2016e8e9db5b,     0xbfec7e8e52233cf3,     //   0.45508,  -0.89045
+    0x3fdd3675caebf962,     0xbfec78d41fe4a267,     //   0.45645,  -0.88975
+    0x3fdd4cd02ba8609c,     0xbfec7315899eaad7,     //   0.45781,  -0.88905
+    0x3fdd632607ac9aa9,     0xbfec6d5290341eb2,     //   0.45918,  -0.88835
+    0x3fdd79775b86e389,     0xbfec678b3488739b,     //   0.46054,  -0.88764
+    0x3fdd8fc423c62a25,     0xbfec61bf777fcc48,     //    0.4619,  -0.88693
+    0x3fdda60c5cfa10d8,     0xbfec5bef59fef85a,     //   0.46326,  -0.88622
+    0x3fddbc5003b2edf8,     0xbfec561adceb743e,     //   0.46462,  -0.88551
+    0x3fddd28f1481cc58,     0xbfec5042012b6907,     //   0.46598,   -0.8848
+    0x3fdde8c98bf86bd6,     0xbfec4a64c7a5ac4c,     //   0.46733,  -0.88408
+    0x3fddfeff66a941de,     0xbfec44833141c004,     //   0.46869,  -0.88336
+    0x3fde1530a12779f4,     0xbfec3e9d3ee7d262,     //   0.47004,  -0.88264
+    0x3fde2b5d3806f63b,     0xbfec38b2f180bdb1,     //    0.4714,  -0.88192
+    0x3fde418527dc4ffa,     0xbfec32c449f60831,     //   0.47275,   -0.8812
+    0x3fde57a86d3cd824,     0xbfec2cd14931e3f1,     //    0.4741,  -0.88047
+    0x3fde6dc704be97e2,     0xbfec26d9f01f2eaf,     //   0.47545,  -0.87974
+    0x3fde83e0eaf85113,     0xbfec20de3fa971b0,     //    0.4768,  -0.87901
+    0x3fde99f61c817eda,     0xbfec1ade38bce19b,     //   0.47815,  -0.87828
+    0x3fdeb00695f25620,     0xbfec14d9dc465e58,     //   0.47949,  -0.87755
+    0x3fdec61253e3c61b,     0xbfec0ed12b3372e9,     //   0.48084,  -0.87681
+    0x3fdedc1952ef78d5,     0xbfec08c426725549,     //   0.48218,  -0.87607
+    0x3fdef21b8fafd3b5,     0xbfec02b2cef1e641,     //   0.48353,  -0.87533
+    0x3fdf081906bff7fd,     0xbfebfc9d25a1b147,     //   0.48487,  -0.87459
+    0x3fdf1e11b4bbc35c,     0xbfebf6832b71ec5b,     //   0.48621,  -0.87384
+    0x3fdf3405963fd068,     0xbfebf064e15377dd,     //   0.48755,  -0.87309
+    0x3fdf49f4a7e97729,     0xbfebea424837de6d,     //   0.48889,  -0.87235
+    0x3fdf5fdee656cda3,     0xbfebe41b611154c1,     //   0.49023,   -0.8716
+    0x3fdf75c44e26a852,     0xbfebddf02cd2b983,     //   0.49156,  -0.87084
+    0x3fdf8ba4dbf89aba,     0xbfebd7c0ac6f952a,     //    0.4929,  -0.87009
+    0x3fdfa1808c6cf7e0,     0xbfebd18ce0dc19d6,     //   0.49423,  -0.86933
+    0x3fdfb7575c24d2de,     0xbfebcb54cb0d2327,     //   0.49557,  -0.86857
+    0x3fdfcd2947c1ff57,     0xbfebc5186bf8361d,     //    0.4969,  -0.86781
+    0x3fdfe2f64be7120f,     0xbfebbed7c49380ea,     //   0.49823,  -0.86705
+    0x3fdff8be6537615e,     0xbfebb892d5d5dad5,     //   0.49956,  -0.86628
+    0x3fe00740c82b82e0,     0xbfebb249a0b6c40d,     //   0.50089,  -0.86551
+    0x3fe0121fe4f56d2c,     0xbfebabfc262e6586,     //   0.50221,  -0.86474
+    0x3fe01cfc874c3eb7,     0xbfeba5aa673590d2,     //   0.50354,  -0.86397
+    0x3fe027d6ad83287e,     0xbfeb9f5464c5bffc,     //   0.50486,   -0.8632
+    0x3fe032ae55edbd95,     0xbfeb98fa1fd9155e,     //   0.50619,  -0.86242
+    0x3fe03d837edff370,     0xbfeb929b996a5b7f,     //   0.50751,  -0.86165
+    0x3fe0485626ae221a,     0xbfeb8c38d27504e9,     //   0.50883,  -0.86087
+    0x3fe053264bad0483,     0xbfeb85d1cbf52c02,     //   0.51015,  -0.86009
+    0x3fe05df3ec31b8b6,     0xbfeb7f6686e792ea,     //   0.51147,   -0.8593
+    0x3fe068bf0691c028,     0xbfeb78f70449a34b,     //   0.51279,  -0.85852
+    0x3fe073879922ffed,     0xbfeb728345196e3e,     //    0.5141,  -0.85773
+    0x3fe07e4da23bc102,     0xbfeb6c0b4a55ac17,     //   0.51542,  -0.85694
+    0x3fe089112032b08c,     0xbfeb658f14fdbc47,     //   0.51673,  -0.85615
+    0x3fe093d2115ee018,     0xbfeb5f0ea611a532,     //   0.51804,  -0.85535
+    0x3fe09e907417c5e1,     0xbfeb5889fe921405,     //   0.51936,  -0.85456
+    0x3fe0a94c46b53d0b,     0xbfeb52011f805c92,     //   0.52067,  -0.85376
+    0x3fe0b405878f85ec,     0xbfeb4b7409de7925,     //   0.52198,  -0.85296
+    0x3fe0bebc34ff4646,     0xbfeb44e2beaf0a61,     //   0.52328,  -0.85216
+    0x3fe0c9704d5d898f,     0xbfeb3e4d3ef55712,     //   0.52459,  -0.85136
+    0x3fe0d421cf03c12b,     0xbfeb37b38bb54c09,     //    0.5259,  -0.85055
+    0x3fe0ded0b84bc4b5,     0xbfeb3115a5f37bf4,     //    0.5272,  -0.84974
+    0x3fe0e97d078fd23b,     0xbfeb2a738eb51f33,     //    0.5285,  -0.84893
+    0x3fe0f426bb2a8e7d,     0xbfeb23cd470013b4,     //    0.5298,  -0.84812
+    0x3fe0fecdd1770537,     0xbfeb1d22cfdadcc6,     //    0.5311,  -0.84731
+    0x3fe1097248d0a956,     0xbfeb16742a4ca2f5,     //    0.5324,  -0.84649
+    0x3fe114141f935545,     0xbfeb0fc1575d33db,     //    0.5337,  -0.84567
+    0x3fe11eb3541b4b22,     0xbfeb090a58150200,     //     0.535,  -0.84485
+    0x3fe1294fe4c5350a,     0xbfeb024f2d7d24a9,     //   0.53629,  -0.84403
+    0x3fe133e9cfee254e,     0xbfeafb8fd89f57b6,     //   0.53759,  -0.84321
+    0x3fe13e8113f396c1,     0xbfeaf4cc5a85fb73,     //   0.53888,  -0.84238
+    0x3fe14915af336ceb,     0xbfeaee04b43c1474,     //   0.54017,  -0.84155
+    0x3fe153a7a00bf453,     0xbfeae738e6cd4b67,     //   0.54146,  -0.84073
+    0x3fe15e36e4dbe2bc,     0xbfeae068f345ecef,     //   0.54275,  -0.83989
+    0x3fe168c37c025764,     0xbfead994dab2e979,     //   0.54404,  -0.83906
+    0x3fe1734d63dedb49,     0xbfead2bc9e21d511,     //   0.54532,  -0.83822
+    0x3fe17dd49ad16161,     0xbfeacbe03ea0e73b,     //   0.54661,  -0.83739
+    0x3fe188591f3a46e5,     0xbfeac4ffbd3efac8,     //   0.54789,  -0.83655
+    0x3fe192daef7a5386,     0xbfeabe1b1b0b8dac,     //   0.54918,  -0.83571
+    0x3fe19d5a09f2b9b8,     0xbfeab7325916c0d4,     //   0.55046,  -0.83486
+    0x3fe1a7d66d0516e6,     0xbfeab045787157ff,     //   0.55174,  -0.83402
+    0x3fe1b250171373be,     0xbfeaa9547a2cb98e,     //   0.55302,  -0.83317
+    0x3fe1bcc706804467,     0xbfeaa25f5f5aee60,     //   0.55429,  -0.83232
+    0x3fe1c73b39ae68c8,     0xbfea9b66290ea1a3,     //   0.55557,  -0.83147
+    0x3fe1d1acaf012cc2,     0xbfea9468d85b20ae,     //   0.55685,  -0.83062
+    0x3fe1dc1b64dc4872,     0xbfea8d676e545ad2,     //   0.55812,  -0.82976
+    0x3fe1e68759a3e074,     0xbfea8661ec0ee133,     //   0.55939,   -0.8289
+    0x3fe1f0f08bbc861b,     0xbfea7f58529fe69d,     //   0.56066,  -0.82805
+    0x3fe1fb56f98b37b8,     0xbfea784aa31d3f55,     //   0.56193,  -0.82718
+    0x3fe205baa17560d6,     0xbfea7138de9d60f5,     //    0.5632,  -0.82632
+    0x3fe2101b81e0da78,     0xbfea6a230637623b,     //   0.56447,  -0.82546
+    0x3fe21a799933eb58,     0xbfea63091b02fae2,     //   0.56573,  -0.82459
+    0x3fe224d4e5d5482e,     0xbfea5beb1e188375,     //     0.567,  -0.82372
+    0x3fe22f2d662c13e1,     0xbfea54c91090f524,     //   0.56826,  -0.82285
+    0x3fe23983189fdfd5,     0xbfea4da2f385e997,     //   0.56952,  -0.82198
+    0x3fe243d5fb98ac1f,     0xbfea4678c8119ac8,     //   0.57078,   -0.8211
+    0x3fe24e260d7ee7c9,     0xbfea3f4a8f4ee2d2,     //   0.57204,  -0.82023
+    0x3fe258734cbb7110,     0xbfea38184a593bc6,     //    0.5733,  -0.81935
+    0x3fe262bdb7b795a2,     0xbfea30e1fa4cbf81,     //   0.57455,  -0.81847
+    0x3fe26d054cdd12df,     0xbfea29a7a0462782,     //   0.57581,  -0.81758
+    0x3fe2774a0a961612,     0xbfea22693d62ccb9,     //   0.57706,   -0.8167
+    0x3fe2818bef4d3cba,     0xbfea1b26d2c0a75e,     //   0.57831,  -0.81581
+    0x3fe28bcaf96d94ba,     0xbfea13e0617e4ec7,     //   0.57956,  -0.81493
+    0x3fe2960727629ca8,     0xbfea0c95eabaf937,     //   0.58081,  -0.81404
+    0x3fe2a040779843fb,     0xbfea05476f967bb5,     //   0.58206,  -0.81314
+    0x3fe2aa76e87aeb58,     0xbfe9fdf4f13149de,     //   0.58331,  -0.81225
+    0x3fe2b4aa787764c4,     0xbfe9f69e70ac75bc,     //   0.58455,  -0.81135
+    0x3fe2bedb25faf3ea,     0xbfe9ef43ef29af94,     //    0.5858,  -0.81046
+    0x3fe2c908ef734e57,     0xbfe9e7e56dcb45bd,     //   0.58704,  -0.80956
+    0x3fe2d333d34e9bb7,     0xbfe9e082edb42472,     //   0.58828,  -0.80866
+    0x3fe2dd5bcffb7616,     0xbfe9d91c7007d5a6,     //   0.58952,  -0.80775
+    0x3fe2e780e3e8ea16,     0xbfe9d1b1f5ea80d6,     //   0.59076,  -0.80685
+    0x3fe2f1a30d86773a,     0xbfe9ca438080eadb,     //     0.592,  -0.80594
+    0x3fe2fbc24b441015,     0xbfe9c2d110f075c3,     //   0.59323,  -0.80503
+    0x3fe305de9b921a94,     0xbfe9bb5aa85f2098,     //   0.59447,  -0.80412
+    0x3fe30ff7fce17035,     0xbfe9b3e047f38741,     //    0.5957,  -0.80321
+    0x3fe31a0e6da35e44,     0xbfe9ac61f0d4e247,     //   0.59693,  -0.80229
+    0x3fe32421ec49a620,     0xbfe9a4dfa42b06b2,     //   0.59816,  -0.80138
+    0x3fe32e3277467d6b,     0xbfe99d59631e65d5,     //   0.59939,  -0.80046
+    0x3fe338400d0c8e57,     0xbfe995cf2ed80d22,     //   0.60062,  -0.79954
+    0x3fe3424aac0ef7d6,     0xbfe98e410881a600,     //   0.60184,  -0.79861
+    0x3fe34c5252c14de1,     0xbfe986aef1457594,     //   0.60307,  -0.79769
+    0x3fe35656ff9799ae,     0xbfe97f18ea4e5c9e,     //   0.60429,  -0.79676
+    0x3fe36058b10659f3,     0xbfe9777ef4c7d742,     //   0.60551,  -0.79584
+    0x3fe36a576582831b,     0xbfe96fe111ddfce0,     //   0.60673,  -0.79491
+    0x3fe374531b817f8d,     0xbfe9683f42bd7fe1,     //   0.60795,  -0.79398
+    0x3fe37e4bd1792fe2,     0xbfe960998893ad8c,     //   0.60917,  -0.79304
+    0x3fe3884185dfeb22,     0xbfe958efe48e6dd7,     //   0.61038,  -0.79211
+    0x3fe39234372c7f04,     0xbfe9514257dc4335,     //    0.6116,  -0.79117
+    0x3fe39c23e3d63029,     0xbfe94990e3ac4a6c,     //   0.61281,  -0.79023
+    0x3fe3a6108a54ba58,     0xbfe941db892e3a65,     //   0.61402,  -0.78929
+    0x3fe3affa292050b9,     0xbfe93a22499263fc,     //   0.61523,  -0.78835
+    0x3fe3b9e0beb19e18,     0xbfe932652609b1cf,     //   0.61644,   -0.7874
+    0x3fe3c3c44981c517,     0xbfe92aa41fc5a815,     //   0.61765,  -0.78646
+    0x3fe3cda4c80a6076,     0xbfe922df37f8646a,     //   0.61885,  -0.78551
+    0x3fe3d78238c58343,     0xbfe91b166fd49da2,     //   0.62006,  -0.78456
+    0x3fe3e15c9a2db922,     0xbfe91349c88da398,     //   0.62126,   -0.7836
+    0x3fe3eb33eabe0680,     0xbfe90b7943575efe,     //   0.62246,  -0.78265
+    0x3fe3f50828f1e8d2,     0xbfe903a4e1665133,     //   0.62366,  -0.78169
+    0x3fe3fed9534556d4,     0xbfe8fbcca3ef940d,     //   0.62486,  -0.78074
+    0x3fe408a76834c0c0,     0xbfe8f3f08c28d9ac,     //   0.62606,  -0.77978
+    0x3fe41272663d108c,     0xbfe8ec109b486c49,     //   0.62725,  -0.77882
+    0x3fe41c3a4bdbaa26,     0xbfe8e42cd2852e0a,     //   0.62845,  -0.77785
+    0x3fe425ff178e6bb1,     0xbfe8dc45331698cc,     //   0.62964,  -0.77689
+    0x3fe42fc0c7d3adbb,     0xbfe8d459be34bdfa,     //   0.63083,  -0.77592
+    0x3fe4397f5b2a4380,     0xbfe8cc6a75184655,     //   0.63202,  -0.77495
+    0x3fe4433ad0117b1d,     0xbfe8c47758fa71cb,     //   0.63321,  -0.77398
+    0x3fe44cf325091dd6,     0xbfe8bc806b151741,     //   0.63439,  -0.77301
+    0x3fe456a858917046,     0xbfe8b485aca2a468,     //   0.63558,  -0.77204
+    0x3fe4605a692b32a2,     0xbfe8ac871ede1d88,     //   0.63676,  -0.77106
+    0x3fe46a095557a0f1,     0xbfe8a484c3031d50,     //   0.63794,  -0.77008
+    0x3fe473b51b987347,     0xbfe89c7e9a4dd4ab,     //   0.63912,   -0.7691
+    0x3fe47d5dba6fde01,     0xbfe89474a5fb0a84,     //    0.6403,  -0.76812
+    0x3fe48703306091fe,     0xbfe88c66e7481ba1,     //   0.64148,  -0.76714
+    0x3fe490a57bedbcdf,     0xbfe884555f72fa6b,     //   0.64266,  -0.76615
+    0x3fe49a449b9b0938,     0xbfe87c400fba2ebf,     //   0.64383,  -0.76517
+    0x3fe4a3e08dec9ed6,     0xbfe87426f95cd5bd,     //     0.645,  -0.76418
+    0x3fe4ad79516722f0,     0xbfe86c0a1d9aa195,     //   0.64618,  -0.76319
+    0x3fe4b70ee48fb869,     0xbfe863e97db3d95a,     //   0.64735,   -0.7622
+    0x3fe4c0a145ec0004,     0xbfe85bc51ae958cc,     //   0.64851,   -0.7612
+    0x3fe4ca30740218a3,     0xbfe8539cf67c9029,     //   0.64968,  -0.76021
+    0x3fe4d3bc6d589f80,     0xbfe84b7111af83f9,     //   0.65085,  -0.75921
+    0x3fe4dd453076b064,     0xbfe843416dc4cce2,     //   0.65201,  -0.75821
+    0x3fe4e6cabbe3e5e9,     0xbfe83b0e0bff976e,     //   0.65317,  -0.75721
+    0x3fe4f04d0e2859aa,     0xbfe832d6eda3a3e0,     //   0.65433,  -0.75621
+    0x3fe4f9cc25cca486,     0xbfe82a9c13f545ff,     //   0.65549,   -0.7552
+    0x3fe503480159ded2,     0xbfe8225d803964e5,     //   0.65665,  -0.75419
+    0x3fe50cc09f59a09b,     0xbfe81a1b33b57acc,     //   0.65781,  -0.75319
+    0x3fe51635fe5601d7,     0xbfe811d52faf94dc,     //   0.65896,  -0.75218
+    0x3fe51fa81cd99aa6,     0xbfe8098b756e52fa,     //   0.66011,  -0.75117
+    0x3fe52916f96f8388,     0xbfe8013e0638e795,     //   0.66127,  -0.75015
+    0x3fe5328292a35596,     0xbfe7f8ece3571771,     //   0.66242,  -0.74914
+    0x3fe53beae7012abe,     0xbfe7f0980e113978,     //   0.66356,  -0.74812
+    0x3fe5454ff5159dfb,     0xbfe7e83f87b03686,     //   0.66471,   -0.7471
+    0x3fe54eb1bb6dcb8f,     0xbfe7dfe3517d8937,     //   0.66586,  -0.74608
+    0x3fe5581038975137,     0xbfe7d7836cc33db2,     //     0.667,  -0.74506
+    0x3fe5616b6b204e6e,     0xbfe7cf1fdacbf179,     //   0.66814,  -0.74403
+    0x3fe56ac35197649e,     0xbfe7c6b89ce2d333,     //   0.66928,  -0.74301
+    0x3fe57417ea8bb75c,     0xbfe7be4db453a27c,     //   0.67042,  -0.74198
+    0x3fe57d69348cec9f,     0xbfe7b5df226aafb0,     //   0.67156,  -0.74095
+    0x3fe586b72e2b2cfd,     0xbfe7ad6ce874dbb6,     //   0.67269,  -0.73992
+    0x3fe59001d5f723df,     0xbfe7a4f707bf97d2,     //   0.67383,  -0.73889
+    0x3fe599492a81ffbc,     0xbfe79c7d8198e56e,     //   0.67496,  -0.73785
+    0x3fe5a28d2a5d7250,     0xbfe79400574f55e4,     //   0.67609,  -0.73682
+    0x3fe5abcdd41bb0d8,     0xbfe78b7f8a320a52,     //   0.67722,  -0.73578
+    0x3fe5b50b264f7448,     0xbfe782fb1b90b35b,     //   0.67835,  -0.73474
+    0x3fe5be451f8bf980,     0xbfe77a730cbb9100,     //   0.67948,   -0.7337
+    0x3fe5c77bbe65018c,     0xbfe771e75f037261,     //    0.6806,  -0.73265
+    0x3fe5d0af016ed1d4,     0xbfe7695813b9b594,     //   0.68172,  -0.73161
+    0x3fe5d9dee73e345c,     0xbfe760c52c304764,     //   0.68285,  -0.73056
+    0x3fe5e30b6e6877f3,     0xbfe7582ea9b9a329,     //   0.68397,  -0.72951
+    0x3fe5ec3495837074,     0xbfe74f948da8d28d,     //   0.68508,  -0.72846
+    0x3fe5f55a5b2576f8,     0xbfe746f6d9516d59,     //    0.6862,  -0.72741
+    0x3fe5fe7cbde56a0f,     0xbfe73e558e079942,     //   0.68732,  -0.72636
+    0x3fe6079bbc5aadfa,     0xbfe735b0ad2009b2,     //   0.68843,   -0.7253
+    0x3fe610b7551d2cde,     0xbfe72d0837efff97,     //   0.68954,  -0.72425
+    0x3fe619cf86c55702,     0xbfe7245c2fcd492a,     //   0.69065,  -0.72319
+    0x3fe622e44fec22ff,     0xbfe71bac960e41bf,     //   0.69176,  -0.72213
+    0x3fe62bf5af2b0dfd,     0xbfe712f96c09d18d,     //   0.69287,  -0.72107
+    0x3fe63503a31c1be8,     0xbfe70a42b3176d7a,     //   0.69397,     -0.72
+    0x3fe63e0e2a59d7aa,     0xbfe701886c8f16e6,     //   0.69508,  -0.71894
+    0x3fe64715437f535b,     0xbfe6f8ca99c95b75,     //   0.69618,  -0.71787
+    0x3fe65018ed28287f,     0xbfe6f0093c1f54de,     //   0.69728,   -0.7168
+    0x3fe6591925f0783e,     0xbfe6e74454eaa8ae,     //   0.69838,  -0.71573
+    0x3fe66215ec74eb91,     0xbfe6de7be585881d,     //   0.69947,  -0.71466
+    0x3fe66b0f3f52b386,     0xbfe6d5afef4aafcc,     //   0.70057,  -0.71358
+    0x3fe674051d27896c,     0xbfe6cce07395679f,     //   0.70166,  -0.71251
+    0x3fe67cf78491af10,     0xbfe6c40d73c18275,     //   0.70275,  -0.71143
+    0x3fe685e6742feeef,     0xbfe6bb36f12b5e06,     //   0.70385,  -0.71035
+    0x3fe68ed1eaa19c71,     0xbfe6b25ced2fe29c,     //   0.70493,  -0.70927
+    0x3fe697b9e686941c,     0xbfe6a97f692c82ea,     //   0.70602,  -0.70819
+    0x3fe6a09e667f3bcc,     0xbfe6a09e667f3bcc,     //   0.70711,  -0.70711
+    0x3fe6a97f692c82ea,     0xbfe697b9e686941c,     //   0.70819,  -0.70602
+    0x3fe6b25ced2fe29c,     0xbfe68ed1eaa19c71,     //   0.70927,  -0.70493
+    0x3fe6bb36f12b5e06,     0xbfe685e6742feeef,     //   0.71035,  -0.70385
+    0x3fe6c40d73c18275,     0xbfe67cf78491af10,     //   0.71143,  -0.70275
+    0x3fe6cce07395679f,     0xbfe674051d27896c,     //   0.71251,  -0.70166
+    0x3fe6d5afef4aafcc,     0xbfe66b0f3f52b386,     //   0.71358,  -0.70057
+    0x3fe6de7be585881d,     0xbfe66215ec74eb91,     //   0.71466,  -0.69947
+    0x3fe6e74454eaa8ae,     0xbfe6591925f0783e,     //   0.71573,  -0.69838
+    0x3fe6f0093c1f54de,     0xbfe65018ed28287f,     //    0.7168,  -0.69728
+    0x3fe6f8ca99c95b75,     0xbfe64715437f535b,     //   0.71787,  -0.69618
+    0x3fe701886c8f16e6,     0xbfe63e0e2a59d7aa,     //   0.71894,  -0.69508
+    0x3fe70a42b3176d7a,     0xbfe63503a31c1be8,     //      0.72,  -0.69397
+    0x3fe712f96c09d18d,     0xbfe62bf5af2b0dfd,     //   0.72107,  -0.69287
+    0x3fe71bac960e41bf,     0xbfe622e44fec22ff,     //   0.72213,  -0.69176
+    0x3fe7245c2fcd492a,     0xbfe619cf86c55702,     //   0.72319,  -0.69065
+    0x3fe72d0837efff97,     0xbfe610b7551d2cde,     //   0.72425,  -0.68954
+    0x3fe735b0ad2009b2,     0xbfe6079bbc5aadfa,     //    0.7253,  -0.68843
+    0x3fe73e558e079942,     0xbfe5fe7cbde56a0f,     //   0.72636,  -0.68732
+    0x3fe746f6d9516d59,     0xbfe5f55a5b2576f8,     //   0.72741,   -0.6862
+    0x3fe74f948da8d28d,     0xbfe5ec3495837074,     //   0.72846,  -0.68508
+    0x3fe7582ea9b9a329,     0xbfe5e30b6e6877f3,     //   0.72951,  -0.68397
+    0x3fe760c52c304764,     0xbfe5d9dee73e345c,     //   0.73056,  -0.68285
+    0x3fe7695813b9b594,     0xbfe5d0af016ed1d4,     //   0.73161,  -0.68172
+    0x3fe771e75f037261,     0xbfe5c77bbe65018c,     //   0.73265,   -0.6806
+    0x3fe77a730cbb9100,     0xbfe5be451f8bf980,     //    0.7337,  -0.67948
+    0x3fe782fb1b90b35b,     0xbfe5b50b264f7448,     //   0.73474,  -0.67835
+    0x3fe78b7f8a320a52,     0xbfe5abcdd41bb0d8,     //   0.73578,  -0.67722
+    0x3fe79400574f55e4,     0xbfe5a28d2a5d7250,     //   0.73682,  -0.67609
+    0x3fe79c7d8198e56e,     0xbfe599492a81ffbc,     //   0.73785,  -0.67496
+    0x3fe7a4f707bf97d2,     0xbfe59001d5f723df,     //   0.73889,  -0.67383
+    0x3fe7ad6ce874dbb6,     0xbfe586b72e2b2cfd,     //   0.73992,  -0.67269
+    0x3fe7b5df226aafb0,     0xbfe57d69348cec9f,     //   0.74095,  -0.67156
+    0x3fe7be4db453a27c,     0xbfe57417ea8bb75c,     //   0.74198,  -0.67042
+    0x3fe7c6b89ce2d333,     0xbfe56ac35197649e,     //   0.74301,  -0.66928
+    0x3fe7cf1fdacbf179,     0xbfe5616b6b204e6e,     //   0.74403,  -0.66814
+    0x3fe7d7836cc33db2,     0xbfe5581038975137,     //   0.74506,    -0.667
+    0x3fe7dfe3517d8937,     0xbfe54eb1bb6dcb8f,     //   0.74608,  -0.66586
+    0x3fe7e83f87b03686,     0xbfe5454ff5159dfb,     //    0.7471,  -0.66471
+    0x3fe7f0980e113978,     0xbfe53beae7012abe,     //   0.74812,  -0.66356
+    0x3fe7f8ece3571771,     0xbfe5328292a35596,     //   0.74914,  -0.66242
+    0x3fe8013e0638e795,     0xbfe52916f96f8388,     //   0.75015,  -0.66127
+    0x3fe8098b756e52fa,     0xbfe51fa81cd99aa6,     //   0.75117,  -0.66011
+    0x3fe811d52faf94dc,     0xbfe51635fe5601d7,     //   0.75218,  -0.65896
+    0x3fe81a1b33b57acc,     0xbfe50cc09f59a09b,     //   0.75319,  -0.65781
+    0x3fe8225d803964e5,     0xbfe503480159ded2,     //   0.75419,  -0.65665
+    0x3fe82a9c13f545ff,     0xbfe4f9cc25cca486,     //    0.7552,  -0.65549
+    0x3fe832d6eda3a3e0,     0xbfe4f04d0e2859aa,     //   0.75621,  -0.65433
+    0x3fe83b0e0bff976e,     0xbfe4e6cabbe3e5e9,     //   0.75721,  -0.65317
+    0x3fe843416dc4cce2,     0xbfe4dd453076b064,     //   0.75821,  -0.65201
+    0x3fe84b7111af83f9,     0xbfe4d3bc6d589f80,     //   0.75921,  -0.65085
+    0x3fe8539cf67c9029,     0xbfe4ca30740218a3,     //   0.76021,  -0.64968
+    0x3fe85bc51ae958cc,     0xbfe4c0a145ec0004,     //    0.7612,  -0.64851
+    0x3fe863e97db3d95a,     0xbfe4b70ee48fb869,     //    0.7622,  -0.64735
+    0x3fe86c0a1d9aa195,     0xbfe4ad79516722f0,     //   0.76319,  -0.64618
+    0x3fe87426f95cd5bd,     0xbfe4a3e08dec9ed6,     //   0.76418,    -0.645
+    0x3fe87c400fba2ebf,     0xbfe49a449b9b0938,     //   0.76517,  -0.64383
+    0x3fe884555f72fa6b,     0xbfe490a57bedbcdf,     //   0.76615,  -0.64266
+    0x3fe88c66e7481ba1,     0xbfe48703306091fe,     //   0.76714,  -0.64148
+    0x3fe89474a5fb0a84,     0xbfe47d5dba6fde01,     //   0.76812,   -0.6403
+    0x3fe89c7e9a4dd4ab,     0xbfe473b51b987347,     //    0.7691,  -0.63912
+    0x3fe8a484c3031d50,     0xbfe46a095557a0f1,     //   0.77008,  -0.63794
+    0x3fe8ac871ede1d88,     0xbfe4605a692b32a2,     //   0.77106,  -0.63676
+    0x3fe8b485aca2a468,     0xbfe456a858917046,     //   0.77204,  -0.63558
+    0x3fe8bc806b151741,     0xbfe44cf325091dd6,     //   0.77301,  -0.63439
+    0x3fe8c47758fa71cb,     0xbfe4433ad0117b1d,     //   0.77398,  -0.63321
+    0x3fe8cc6a75184655,     0xbfe4397f5b2a4380,     //   0.77495,  -0.63202
+    0x3fe8d459be34bdfa,     0xbfe42fc0c7d3adbb,     //   0.77592,  -0.63083
+    0x3fe8dc45331698cc,     0xbfe425ff178e6bb1,     //   0.77689,  -0.62964
+    0x3fe8e42cd2852e0a,     0xbfe41c3a4bdbaa26,     //   0.77785,  -0.62845
+    0x3fe8ec109b486c49,     0xbfe41272663d108c,     //   0.77882,  -0.62725
+    0x3fe8f3f08c28d9ac,     0xbfe408a76834c0c0,     //   0.77978,  -0.62606
+    0x3fe8fbcca3ef940d,     0xbfe3fed9534556d4,     //   0.78074,  -0.62486
+    0x3fe903a4e1665133,     0xbfe3f50828f1e8d2,     //   0.78169,  -0.62366
+    0x3fe90b7943575efe,     0xbfe3eb33eabe0680,     //   0.78265,  -0.62246
+    0x3fe91349c88da398,     0xbfe3e15c9a2db922,     //    0.7836,  -0.62126
+    0x3fe91b166fd49da2,     0xbfe3d78238c58343,     //   0.78456,  -0.62006
+    0x3fe922df37f8646a,     0xbfe3cda4c80a6076,     //   0.78551,  -0.61885
+    0x3fe92aa41fc5a815,     0xbfe3c3c44981c517,     //   0.78646,  -0.61765
+    0x3fe932652609b1cf,     0xbfe3b9e0beb19e18,     //    0.7874,  -0.61644
+    0x3fe93a22499263fc,     0xbfe3affa292050b9,     //   0.78835,  -0.61523
+    0x3fe941db892e3a65,     0xbfe3a6108a54ba58,     //   0.78929,  -0.61402
+    0x3fe94990e3ac4a6c,     0xbfe39c23e3d63029,     //   0.79023,  -0.61281
+    0x3fe9514257dc4335,     0xbfe39234372c7f04,     //   0.79117,   -0.6116
+    0x3fe958efe48e6dd7,     0xbfe3884185dfeb22,     //   0.79211,  -0.61038
+    0x3fe960998893ad8c,     0xbfe37e4bd1792fe2,     //   0.79304,  -0.60917
+    0x3fe9683f42bd7fe1,     0xbfe374531b817f8d,     //   0.79398,  -0.60795
+    0x3fe96fe111ddfce0,     0xbfe36a576582831b,     //   0.79491,  -0.60673
+    0x3fe9777ef4c7d742,     0xbfe36058b10659f3,     //   0.79584,  -0.60551
+    0x3fe97f18ea4e5c9e,     0xbfe35656ff9799ae,     //   0.79676,  -0.60429
+    0x3fe986aef1457594,     0xbfe34c5252c14de1,     //   0.79769,  -0.60307
+    0x3fe98e410881a600,     0xbfe3424aac0ef7d6,     //   0.79861,  -0.60184
+    0x3fe995cf2ed80d22,     0xbfe338400d0c8e57,     //   0.79954,  -0.60062
+    0x3fe99d59631e65d5,     0xbfe32e3277467d6b,     //   0.80046,  -0.59939
+    0x3fe9a4dfa42b06b2,     0xbfe32421ec49a620,     //   0.80138,  -0.59816
+    0x3fe9ac61f0d4e247,     0xbfe31a0e6da35e44,     //   0.80229,  -0.59693
+    0x3fe9b3e047f38741,     0xbfe30ff7fce17035,     //   0.80321,   -0.5957
+    0x3fe9bb5aa85f2098,     0xbfe305de9b921a94,     //   0.80412,  -0.59447
+    0x3fe9c2d110f075c3,     0xbfe2fbc24b441015,     //   0.80503,  -0.59323
+    0x3fe9ca438080eadb,     0xbfe2f1a30d86773a,     //   0.80594,    -0.592
+    0x3fe9d1b1f5ea80d6,     0xbfe2e780e3e8ea16,     //   0.80685,  -0.59076
+    0x3fe9d91c7007d5a6,     0xbfe2dd5bcffb7616,     //   0.80775,  -0.58952
+    0x3fe9e082edb42472,     0xbfe2d333d34e9bb7,     //   0.80866,  -0.58828
+    0x3fe9e7e56dcb45bd,     0xbfe2c908ef734e57,     //   0.80956,  -0.58704
+    0x3fe9ef43ef29af94,     0xbfe2bedb25faf3ea,     //   0.81046,   -0.5858
+    0x3fe9f69e70ac75bc,     0xbfe2b4aa787764c4,     //   0.81135,  -0.58455
+    0x3fe9fdf4f13149de,     0xbfe2aa76e87aeb58,     //   0.81225,  -0.58331
+    0x3fea05476f967bb5,     0xbfe2a040779843fb,     //   0.81314,  -0.58206
+    0x3fea0c95eabaf937,     0xbfe2960727629ca8,     //   0.81404,  -0.58081
+    0x3fea13e0617e4ec7,     0xbfe28bcaf96d94ba,     //   0.81493,  -0.57956
+    0x3fea1b26d2c0a75e,     0xbfe2818bef4d3cba,     //   0.81581,  -0.57831
+    0x3fea22693d62ccb9,     0xbfe2774a0a961612,     //    0.8167,  -0.57706
+    0x3fea29a7a0462782,     0xbfe26d054cdd12df,     //   0.81758,  -0.57581
+    0x3fea30e1fa4cbf81,     0xbfe262bdb7b795a2,     //   0.81847,  -0.57455
+    0x3fea38184a593bc6,     0xbfe258734cbb7110,     //   0.81935,   -0.5733
+    0x3fea3f4a8f4ee2d2,     0xbfe24e260d7ee7c9,     //   0.82023,  -0.57204
+    0x3fea4678c8119ac8,     0xbfe243d5fb98ac1f,     //    0.8211,  -0.57078
+    0x3fea4da2f385e997,     0xbfe23983189fdfd5,     //   0.82198,  -0.56952
+    0x3fea54c91090f524,     0xbfe22f2d662c13e1,     //   0.82285,  -0.56826
+    0x3fea5beb1e188375,     0xbfe224d4e5d5482e,     //   0.82372,    -0.567
+    0x3fea63091b02fae2,     0xbfe21a799933eb58,     //   0.82459,  -0.56573
+    0x3fea6a230637623b,     0xbfe2101b81e0da78,     //   0.82546,  -0.56447
+    0x3fea7138de9d60f5,     0xbfe205baa17560d6,     //   0.82632,   -0.5632
+    0x3fea784aa31d3f55,     0xbfe1fb56f98b37b8,     //   0.82718,  -0.56193
+    0x3fea7f58529fe69d,     0xbfe1f0f08bbc861b,     //   0.82805,  -0.56066
+    0x3fea8661ec0ee133,     0xbfe1e68759a3e074,     //    0.8289,  -0.55939
+    0x3fea8d676e545ad2,     0xbfe1dc1b64dc4872,     //   0.82976,  -0.55812
+    0x3fea9468d85b20ae,     0xbfe1d1acaf012cc2,     //   0.83062,  -0.55685
+    0x3fea9b66290ea1a3,     0xbfe1c73b39ae68c8,     //   0.83147,  -0.55557
+    0x3feaa25f5f5aee60,     0xbfe1bcc706804467,     //   0.83232,  -0.55429
+    0x3feaa9547a2cb98e,     0xbfe1b250171373be,     //   0.83317,  -0.55302
+    0x3feab045787157ff,     0xbfe1a7d66d0516e6,     //   0.83402,  -0.55174
+    0x3feab7325916c0d4,     0xbfe19d5a09f2b9b8,     //   0.83486,  -0.55046
+    0x3feabe1b1b0b8dac,     0xbfe192daef7a5386,     //   0.83571,  -0.54918
+    0x3feac4ffbd3efac8,     0xbfe188591f3a46e5,     //   0.83655,  -0.54789
+    0x3feacbe03ea0e73b,     0xbfe17dd49ad16161,     //   0.83739,  -0.54661
+    0x3fead2bc9e21d511,     0xbfe1734d63dedb49,     //   0.83822,  -0.54532
+    0x3fead994dab2e979,     0xbfe168c37c025764,     //   0.83906,  -0.54404
+    0x3feae068f345ecef,     0xbfe15e36e4dbe2bc,     //   0.83989,  -0.54275
+    0x3feae738e6cd4b67,     0xbfe153a7a00bf453,     //   0.84073,  -0.54146
+    0x3feaee04b43c1474,     0xbfe14915af336ceb,     //   0.84155,  -0.54017
+    0x3feaf4cc5a85fb73,     0xbfe13e8113f396c1,     //   0.84238,  -0.53888
+    0x3feafb8fd89f57b6,     0xbfe133e9cfee254e,     //   0.84321,  -0.53759
+    0x3feb024f2d7d24a9,     0xbfe1294fe4c5350a,     //   0.84403,  -0.53629
+    0x3feb090a58150200,     0xbfe11eb3541b4b22,     //   0.84485,    -0.535
+    0x3feb0fc1575d33db,     0xbfe114141f935545,     //   0.84567,   -0.5337
+    0x3feb16742a4ca2f5,     0xbfe1097248d0a956,     //   0.84649,   -0.5324
+    0x3feb1d22cfdadcc6,     0xbfe0fecdd1770537,     //   0.84731,   -0.5311
+    0x3feb23cd470013b4,     0xbfe0f426bb2a8e7d,     //   0.84812,   -0.5298
+    0x3feb2a738eb51f33,     0xbfe0e97d078fd23b,     //   0.84893,   -0.5285
+    0x3feb3115a5f37bf4,     0xbfe0ded0b84bc4b5,     //   0.84974,   -0.5272
+    0x3feb37b38bb54c09,     0xbfe0d421cf03c12b,     //   0.85055,   -0.5259
+    0x3feb3e4d3ef55712,     0xbfe0c9704d5d898f,     //   0.85136,  -0.52459
+    0x3feb44e2beaf0a61,     0xbfe0bebc34ff4646,     //   0.85216,  -0.52328
+    0x3feb4b7409de7925,     0xbfe0b405878f85ec,     //   0.85296,  -0.52198
+    0x3feb52011f805c92,     0xbfe0a94c46b53d0b,     //   0.85376,  -0.52067
+    0x3feb5889fe921405,     0xbfe09e907417c5e1,     //   0.85456,  -0.51936
+    0x3feb5f0ea611a532,     0xbfe093d2115ee018,     //   0.85535,  -0.51804
+    0x3feb658f14fdbc47,     0xbfe089112032b08c,     //   0.85615,  -0.51673
+    0x3feb6c0b4a55ac17,     0xbfe07e4da23bc102,     //   0.85694,  -0.51542
+    0x3feb728345196e3e,     0xbfe073879922ffed,     //   0.85773,   -0.5141
+    0x3feb78f70449a34b,     0xbfe068bf0691c028,     //   0.85852,  -0.51279
+    0x3feb7f6686e792ea,     0xbfe05df3ec31b8b6,     //    0.8593,  -0.51147
+    0x3feb85d1cbf52c02,     0xbfe053264bad0483,     //   0.86009,  -0.51015
+    0x3feb8c38d27504e9,     0xbfe0485626ae221a,     //   0.86087,  -0.50883
+    0x3feb929b996a5b7f,     0xbfe03d837edff370,     //   0.86165,  -0.50751
+    0x3feb98fa1fd9155e,     0xbfe032ae55edbd95,     //   0.86242,  -0.50619
+    0x3feb9f5464c5bffc,     0xbfe027d6ad83287e,     //    0.8632,  -0.50486
+    0x3feba5aa673590d2,     0xbfe01cfc874c3eb7,     //   0.86397,  -0.50354
+    0x3febabfc262e6586,     0xbfe0121fe4f56d2c,     //   0.86474,  -0.50221
+    0x3febb249a0b6c40d,     0xbfe00740c82b82e0,     //   0.86551,  -0.50089
+    0x3febb892d5d5dad5,     0xbfdff8be6537615e,     //   0.86628,  -0.49956
+    0x3febbed7c49380ea,     0xbfdfe2f64be7120f,     //   0.86705,  -0.49823
+    0x3febc5186bf8361d,     0xbfdfcd2947c1ff57,     //   0.86781,   -0.4969
+    0x3febcb54cb0d2327,     0xbfdfb7575c24d2de,     //   0.86857,  -0.49557
+    0x3febd18ce0dc19d6,     0xbfdfa1808c6cf7e0,     //   0.86933,  -0.49423
+    0x3febd7c0ac6f952a,     0xbfdf8ba4dbf89aba,     //   0.87009,   -0.4929
+    0x3febddf02cd2b983,     0xbfdf75c44e26a852,     //   0.87084,  -0.49156
+    0x3febe41b611154c1,     0xbfdf5fdee656cda3,     //    0.8716,  -0.49023
+    0x3febea424837de6d,     0xbfdf49f4a7e97729,     //   0.87235,  -0.48889
+    0x3febf064e15377dd,     0xbfdf3405963fd068,     //   0.87309,  -0.48755
+    0x3febf6832b71ec5b,     0xbfdf1e11b4bbc35c,     //   0.87384,  -0.48621
+    0x3febfc9d25a1b147,     0xbfdf081906bff7fd,     //   0.87459,  -0.48487
+    0x3fec02b2cef1e641,     0xbfdef21b8fafd3b5,     //   0.87533,  -0.48353
+    0x3fec08c426725549,     0xbfdedc1952ef78d5,     //   0.87607,  -0.48218
+    0x3fec0ed12b3372e9,     0xbfdec61253e3c61b,     //   0.87681,  -0.48084
+    0x3fec14d9dc465e58,     0xbfdeb00695f25620,     //   0.87755,  -0.47949
+    0x3fec1ade38bce19b,     0xbfde99f61c817eda,     //   0.87828,  -0.47815
+    0x3fec20de3fa971b0,     0xbfde83e0eaf85113,     //   0.87901,   -0.4768
+    0x3fec26d9f01f2eaf,     0xbfde6dc704be97e2,     //   0.87974,  -0.47545
+    0x3fec2cd14931e3f1,     0xbfde57a86d3cd824,     //   0.88047,   -0.4741
+    0x3fec32c449f60831,     0xbfde418527dc4ffa,     //    0.8812,  -0.47275
+    0x3fec38b2f180bdb1,     0xbfde2b5d3806f63b,     //   0.88192,   -0.4714
+    0x3fec3e9d3ee7d262,     0xbfde1530a12779f4,     //   0.88264,  -0.47004
+    0x3fec44833141c004,     0xbfddfeff66a941de,     //   0.88336,  -0.46869
+    0x3fec4a64c7a5ac4c,     0xbfdde8c98bf86bd6,     //   0.88408,  -0.46733
+    0x3fec5042012b6907,     0xbfddd28f1481cc58,     //    0.8848,  -0.46598
+    0x3fec561adceb743e,     0xbfddbc5003b2edf8,     //   0.88551,  -0.46462
+    0x3fec5bef59fef85a,     0xbfdda60c5cfa10d8,     //   0.88622,  -0.46326
+    0x3fec61bf777fcc48,     0xbfdd8fc423c62a25,     //   0.88693,   -0.4619
+    0x3fec678b3488739b,     0xbfdd79775b86e389,     //   0.88764,  -0.46054
+    0x3fec6d5290341eb2,     0xbfdd632607ac9aa9,     //   0.88835,  -0.45918
+    0x3fec7315899eaad7,     0xbfdd4cd02ba8609c,     //   0.88905,  -0.45781
+    0x3fec78d41fe4a267,     0xbfdd3675caebf962,     //   0.88975,  -0.45645
+    0x3fec7e8e52233cf3,     0xbfdd2016e8e9db5b,     //   0.89045,  -0.45508
+    0x3fec84441f785f61,     0xbfdd09b389152ec1,     //   0.89115,  -0.45372
+    0x3fec89f587029c13,     0xbfdcf34baee1cd21,     //   0.89184,  -0.45235
+    0x3fec8fa287e13305,     0xbfdcdcdf5dc440ce,     //   0.89253,  -0.45098
+    0x3fec954b213411f5,     0xbfdcc66e9931c45d,     //   0.89322,  -0.44961
+    0x3fec9aef521bd480,     0xbfdcaff964a0421d,     //   0.89391,  -0.44824
+    0x3feca08f19b9c449,     0xbfdc997fc3865388,     //    0.8946,  -0.44687
+    0x3feca62a772fd919,     0xbfdc8301b95b40c2,     //   0.89528,   -0.4455
+    0x3fecabc169a0b901,     0xbfdc6c7f4997000a,     //   0.89597,  -0.44412
+    0x3fecb153f02fb87d,     0xbfdc55f877b23537,     //   0.89665,  -0.44275
+    0x3fecb6e20a00da99,     0xbfdc3f6d47263129,     //   0.89732,  -0.44137
+    0x3fecbc6bb638d10b,     0xbfdc28ddbb6cf145,     //     0.898,  -0.43999
+    0x3fecc1f0f3fcfc5c,     0xbfdc1249d8011ee7,     //   0.89867,  -0.43862
+    0x3fecc771c2736c09,     0xbfdbfbb1a05e0edc,     //   0.89935,  -0.43724
+    0x3fecccee20c2de9f,     0xbfdbe51517ffc0d9,     //   0.90002,  -0.43586
+    0x3fecd2660e12c1e6,     0xbfdbce744262deee,     //   0.90068,  -0.43448
+    0x3fecd7d9898b32f6,     0xbfdbb7cf2304bd01,     //   0.90135,  -0.43309
+    0x3fecdd489254fe65,     0xbfdba125bd63583e,     //   0.90201,  -0.43171
+    0x3fece2b32799a060,     0xbfdb8a7814fd5693,     //   0.90267,  -0.43033
+    0x3fece819488344ce,     0xbfdb73c62d520624,     //   0.90333,  -0.42894
+    0x3feced7af43cc773,     0xbfdb5d1009e15cc0,     //   0.90399,  -0.42756
+    0x3fecf2d829f1b40e,     0xbfdb4655ae2bf757,     //   0.90464,  -0.42617
+    0x3fecf830e8ce467b,     0xbfdb2f971db31972,     //    0.9053,  -0.42478
+    0x3fecfd852fff6ad4,     0xbfdb18d45bf8aca6,     //   0.90595,  -0.42339
+    0x3fed02d4feb2bd92,     0xbfdb020d6c7f4009,     //    0.9066,    -0.422
+    0x3fed082054168bac,     0xbfdaeb4252ca07ab,     //   0.90724,  -0.42061
+    0x3fed0d672f59d2b9,     0xbfdad473125cdc08,     //   0.90789,  -0.41922
+    0x3fed12a98fac410c,     0xbfdabd9faebc3980,     //   0.90853,  -0.41782
+    0x3fed17e7743e35dc,     0xbfdaa6c82b6d3fc9,     //   0.90917,  -0.41643
+    0x3fed1d20dc40c15c,     0xbfda8fec8bf5b166,     //   0.90981,  -0.41503
+    0x3fed2255c6e5a4e1,     0xbfda790cd3dbf31a,     //   0.91044,  -0.41364
+    0x3fed2786335f52fc,     0xbfda622906a70b63,     //   0.91107,  -0.41224
+    0x3fed2cb220e0ef9f,     0xbfda4b4127dea1e4,     //   0.91171,  -0.41084
+    0x3fed31d98e9e503a,     0xbfda34553b0afee5,     //   0.91234,  -0.40944
+    0x3fed36fc7bcbfbdc,     0xbfda1d6543b50ac0,     //   0.91296,  -0.40804
+    0x3fed3c1ae79f2b4e,     0xbfda067145664d57,     //   0.91359,  -0.40664
+    0x3fed4134d14dc93a,     0xbfd9ef7943a8ed8a,     //   0.91421,  -0.40524
+    0x3fed464a380e7242,     0xbfd9d87d4207b0ab,     //   0.91483,  -0.40384
+    0x3fed4b5b1b187524,     0xbfd9c17d440df9f2,     //   0.91545,  -0.40243
+    0x3fed506779a3d2d9,     0xbfd9aa794d47c9ee,     //   0.91606,  -0.40103
+    0x3fed556f52e93eb1,     0xbfd993716141bdfe,     //   0.91668,  -0.39962
+    0x3fed5a72a6221e73,     0xbfd97c6583890fc2,     //   0.91729,  -0.39822
+    0x3fed5f7172888a7f,     0xbfd96555b7ab948f,     //    0.9179,  -0.39681
+    0x3fed646bb7574de5,     0xbfd94e420137bce3,     //   0.91851,   -0.3954
+    0x3fed696173c9e68b,     0xbfd9372a63bc93d7,     //   0.91911,  -0.39399
+    0x3fed6e52a71c8547,     0xbfd9200ee2c9be97,     //   0.91972,  -0.39258
+    0x3fed733f508c0dff,     0xbfd908ef81ef7bd1,     //   0.92032,  -0.39117
+    0x3fed78276f5617c6,     0xbfd8f1cc44bea329,     //   0.92092,  -0.38976
+    0x3fed7d0b02b8ecf9,     0xbfd8daa52ec8a4af,     //   0.92151,  -0.38835
+    0x3fed81ea09f38b63,     0xbfd8c37a439f884f,     //   0.92211,  -0.38693
+    0x3fed86c48445a450,     0xbfd8ac4b86d5ed44,     //    0.9227,  -0.38552
+    0x3fed8b9a70ef9cb4,     0xbfd89518fbff098e,     //   0.92329,   -0.3841
+    0x3fed906bcf328d46,     0xbfd87de2a6aea963,     //   0.92388,  -0.38268
+    0x3fed95389e50429b,     0xbfd866a88a792ea0,     //   0.92447,  -0.38127
+    0x3fed9a00dd8b3d46,     0xbfd84f6aaaf3903f,     //   0.92505,  -0.37985
+    0x3fed9ec48c26b1f3,     0xbfd838290bb359c8,     //   0.92563,  -0.37843
+    0x3feda383a9668988,     0xbfd820e3b04eaac4,     //   0.92621,  -0.37701
+    0x3feda83e348f613b,     0xbfd8099a9c5c362d,     //   0.92679,  -0.37559
+    0x3fedacf42ce68ab9,     0xbfd7f24dd37341e3,     //   0.92736,  -0.37416
+    0x3fedb1a591b20c38,     0xbfd7dafd592ba621,     //   0.92794,  -0.37274
+    0x3fedb6526238a09b,     0xbfd7c3a9311dcce7,     //   0.92851,  -0.37132
+    0x3fedbafa9dc1b78d,     0xbfd7ac515ee2b172,     //   0.92907,  -0.36989
+    0x3fedbf9e4395759a,     0xbfd794f5e613dfae,     //   0.92964,  -0.36847
+    0x3fedc43d52fcb453,     0xbfd77d96ca4b73a6,     //   0.93021,  -0.36704
+    0x3fedc8d7cb410260,     0xbfd766340f2418f6,     //   0.93077,  -0.36561
+    0x3fedcd6dabaca3a5,     0xbfd74ecdb8390a3e,     //   0.93133,  -0.36418
+    0x3fedd1fef38a915a,     0xbfd73763c9261092,     //   0.93188,  -0.36276
+    0x3fedd68ba2267a25,     0xbfd71ff6458782ec,     //   0.93244,  -0.36133
+    0x3feddb13b6ccc23d,     0xbfd7088530fa459e,     //   0.93299,   -0.3599
+    0x3feddf9730ca837b,     0xbfd6f1108f1bc9c5,     //   0.93354,  -0.35846
+    0x3fede4160f6d8d81,     0xbfd6d998638a0cb5,     //   0.93409,  -0.35703
+    0x3fede890520465ce,     0xbfd6c21cb1e39771,     //   0.93464,   -0.3556
+    0x3feded05f7de47da,     0xbfd6aa9d7dc77e16,     //   0.93518,  -0.35416
+    0x3fedf177004b2534,     0xbfd6931acad55f51,     //   0.93573,  -0.35273
+    0x3fedf5e36a9ba59c,     0xbfd67b949cad63ca,     //   0.93627,  -0.35129
+    0x3fedfa4b3621271d,     0xbfd6640af6f03d9e,     //    0.9368,  -0.34986
+    0x3fedfeae622dbe2b,     0xbfd64c7ddd3f27c6,     //   0.93734,  -0.34842
+    0x3fee030cee1435b8,     0xbfd634ed533be58e,     //   0.93787,  -0.34698
+    0x3fee0766d9280f54,     0xbfd61d595c88c203,     //    0.9384,  -0.34554
+    0x3fee0bbc22bd8349,     0xbfd605c1fcc88f63,     //   0.93893,   -0.3441
+    0x3fee100cca2980ac,     0xbfd5ee27379ea693,     //   0.93946,  -0.34266
+    0x3fee1458cec1ad83,     0xbfd5d68910aee686,     //   0.93998,  -0.34122
+    0x3fee18a02fdc66d9,     0xbfd5bee78b9db3b6,     //   0.94051,  -0.33978
+    0x3fee1ce2ecd0c0d8,     0xbfd5a742ac0ff78d,     //   0.94103,  -0.33833
+    0x3fee212104f686e5,     0xbfd58f9a75ab1fdd,     //   0.94154,  -0.33689
+    0x3fee255a77a63bb8,     0xbfd577eeec151e47,     //   0.94206,  -0.33545
+    0x3fee298f4439197a,     0xbfd5604012f467b4,     //   0.94257,    -0.334
+    0x3fee2dbf6a0911d9,     0xbfd5488dedeff3be,     //   0.94308,  -0.33255
+    0x3fee31eae870ce25,     0xbfd530d880af3c24,     //   0.94359,  -0.33111
+    0x3fee3611becbaf69,     0xbfd5191fceda3c35,     //    0.9441,  -0.32966
+    0x3fee3a33ec75ce85,     0xbfd50163dc197047,     //    0.9446,  -0.32821
+    0x3fee3e5170cbfc46,     0xbfd4e9a4ac15d520,     //   0.94511,  -0.32676
+    0x3fee426a4b2bc17e,     0xbfd4d1e24278e76a,     //   0.94561,  -0.32531
+    0x3fee467e7af35f23,     0xbfd4ba1ca2eca31c,     //   0.94611,  -0.32386
+    0x3fee4a8dff81ce5e,     0xbfd4a253d11b82f3,     //    0.9466,  -0.32241
+    0x3fee4e98d836c0af,     0xbfd48a87d0b07fd7,     //   0.94709,  -0.32096
+    0x3fee529f04729ffc,     0xbfd472b8a5571054,     //   0.94759,   -0.3195
+    0x3fee56a083968eb1,     0xbfd45ae652bb2800,     //   0.94807,  -0.31805
+    0x3fee5a9d550467d3,     0xbfd44310dc8936f0,     //   0.94856,  -0.31659
+    0x3fee5e95781ebf1c,     0xbfd42b38466e2928,     //   0.94905,  -0.31514
+    0x3fee6288ec48e112,     0xbfd4135c94176602,     //   0.94953,  -0.31368
+    0x3fee6677b0e6d31e,     0xbfd3fb7dc932cfa4,     //   0.95001,  -0.31222
+    0x3fee6a61c55d53a7,     0xbfd3e39be96ec271,     //   0.95049,  -0.31077
+    0x3fee6e472911da27,     0xbfd3cbb6f87a146e,     //   0.95096,  -0.30931
+    0x3fee7227db6a9744,     0xbfd3b3cefa0414b7,     //   0.95144,  -0.30785
+    0x3fee7603dbce74e9,     0xbfd39be3f1bc8aef,     //   0.95191,  -0.30639
+    0x3fee79db29a5165a,     0xbfd383f5e353b6aa,     //   0.95238,  -0.30493
+    0x3fee7dadc456d850,     0xbfd36c04d27a4edf,     //   0.95284,  -0.30347
+    0x3fee817bab4cd10d,     0xbfd35410c2e18152,     //   0.95331,  -0.30201
+    0x3fee8544ddf0d075,     0xbfd33c19b83af207,     //   0.95377,  -0.30054
+    0x3fee89095bad6025,     0xbfd3241fb638baaf,     //   0.95423,  -0.29908
+    0x3fee8cc923edc388,     0xbfd30c22c08d6a13,     //   0.95469,  -0.29762
+    0x3fee9084361df7f3,     0xbfd2f422daec0386,     //   0.95514,  -0.29615
+    0x3fee943a91aab4b4,     0xbfd2dc200907fe51,     //   0.95559,  -0.29469
+    0x3fee97ec36016b30,     0xbfd2c41a4e954520,     //   0.95605,  -0.29322
+    0x3fee9b99229046f8,     0xbfd2ac11af483572,     //   0.95649,  -0.29175
+    0x3fee9f4156c62dda,     0xbfd294062ed59f05,     //   0.95694,  -0.29028
+    0x3feea2e4d212c000,     0xbfd27bf7d0f2c346,     //   0.95738,  -0.28882
+    0x3feea68393e65800,     0xbfd263e6995554ba,     //   0.95783,  -0.28735
+    0x3feeaa1d9bb20af3,     0xbfd24bd28bb37672,     //   0.95827,  -0.28588
+    0x3feeadb2e8e7a88e,     0xbfd233bbabc3bb72,     //    0.9587,  -0.28441
+    0x3feeb1437af9bb34,     0xbfd21ba1fd3d2623,     //   0.95914,  -0.28294
+    0x3feeb4cf515b8811,     0xbfd2038583d727bd,     //   0.95957,  -0.28146
+    0x3feeb8566b810f2a,     0xbfd1eb6643499fbb,     //      0.96,  -0.27999
+    0x3feebbd8c8df0b74,     0xbfd1d3443f4cdb3d,     //   0.96043,  -0.27852
+    0x3feebf5668eaf2ef,     0xbfd1bb1f7b999480,     //   0.96086,  -0.27705
+    0x3feec2cf4b1af6b2,     0xbfd1a2f7fbe8f243,     //   0.96128,  -0.27557
+    0x3feec6436ee60309,     0xbfd18acdc3f4873a,     //    0.9617,   -0.2741
+    0x3feec9b2d3c3bf84,     0xbfd172a0d7765177,     //   0.96212,  -0.27262
+    0x3feecd1d792c8f10,     0xbfd15a713a28b9d9,     //   0.96254,  -0.27115
+    0x3feed0835e999009,     0xbfd1423eefc69378,     //   0.96295,  -0.26967
+    0x3feed3e483849c51,     0xbfd12a09fc0b1b12,     //   0.96337,  -0.26819
+    0x3feed740e7684963,     0xbfd111d262b1f677,     //   0.96378,  -0.26671
+    0x3feeda9889bfe86a,     0xbfd0f998277733f7,     //   0.96418,  -0.26523
+    0x3feeddeb6a078651,     0xbfd0e15b4e1749cd,     //   0.96459,  -0.26375
+    0x3feee13987bbebdc,     0xbfd0c91bda4f158d,     //   0.96499,  -0.26227
+    0x3feee482e25a9dbc,     0xbfd0b0d9cfdbdb90,     //   0.96539,  -0.26079
+    0x3feee7c77961dc9e,     0xbfd09895327b465e,     //   0.96579,  -0.25931
+    0x3feeeb074c50a544,     0xbfd0804e05eb661e,     //   0.96619,  -0.25783
+    0x3feeee425aa6b09a,     0xbfd068044deab002,     //   0.96658,  -0.25635
+    0x3feef178a3e473c2,     0xbfd04fb80e37fdae,     //   0.96698,  -0.25487
+    0x3feef4aa278b2032,     0xbfd037694a928cac,     //   0.96737,  -0.25338
+    0x3feef7d6e51ca3c0,     0xbfd01f1806b9fdd2,     //   0.96775,   -0.2519
+    0x3feefafedc1ba8b7,     0xbfd006c4466e54af,     //   0.96814,  -0.25041
+    0x3feefe220c0b95ec,     0xbfcfdcdc1adfedf8,     //   0.96852,  -0.24893
+    0x3fef014074708ed3,     0xbfcfac2abeff57ff,     //    0.9689,  -0.24744
+    0x3fef045a14cf738c,     0xbfcf7b7480bd3801,     //   0.96928,  -0.24596
+    0x3fef076eecade0fa,     0xbfcf4ab9679c9f5c,     //   0.96966,  -0.24447
+    0x3fef0a7efb9230d7,     0xbfcf19f97b215f1a,     //   0.97003,  -0.24298
+    0x3fef0d8a410379c5,     0xbfcee934c2d006c7,     //    0.9704,  -0.24149
+    0x3fef1090bc898f5f,     0xbfceb86b462de348,     //   0.97077,     -0.24
+    0x3fef13926dad024e,     0xbfce879d0cc0fdaf,     //   0.97114,  -0.23851
+    0x3fef168f53f7205d,     0xbfce56ca1e101a1b,     //    0.9715,  -0.23702
+    0x3fef19876ef1f486,     0xbfce25f281a2b684,     //   0.97187,  -0.23553
+    0x3fef1c7abe284708,     0xbfcdf5163f01099a,     //   0.97223,  -0.23404
+    0x3fef1f6941259d7a,     0xbfcdc4355db40195,     //   0.97258,  -0.23255
+    0x3fef2252f7763ada,     0xbfcd934fe5454311,     //   0.97294,  -0.23106
+    0x3fef2537e0a71f9f,     0xbfcd6265dd3f27e3,     //   0.97329,  -0.22957
+    0x3fef2817fc4609ce,     0xbfcd31774d2cbdee,     //   0.97364,  -0.22807
+    0x3fef2af349e17507,     0xbfcd00843c99c5f9,     //   0.97399,  -0.22658
+    0x3fef2dc9c9089a9d,     0xbfcccf8cb312b286,     //   0.97434,  -0.22508
+    0x3fef309b794b719f,     0xbfcc9e90b824a6a9,     //   0.97468,  -0.22359
+    0x3fef33685a3aaef0,     0xbfcc6d90535d74dc,     //   0.97503,  -0.22209
+    0x3fef36306b67c556,     0xbfcc3c8b8c4b9dd7,     //   0.97536,   -0.2206
+    0x3fef38f3ac64e589,     0xbfcc0b826a7e4f63,     //    0.9757,   -0.2191
+    0x3fef3bb21cc4fe47,     0xbfcbda74f5856330,     //   0.97604,   -0.2176
+    0x3fef3e6bbc1bbc65,     0xbfcba96334f15dad,     //   0.97637,  -0.21611
+    0x3fef412089fd8adc,     0xbfcb784d30536cda,     //    0.9767,  -0.21461
+    0x3fef43d085ff92dd,     0xbfcb4732ef3d6722,     //   0.97703,  -0.21311
+    0x3fef467bafb7bbe0,     0xbfcb16147941ca2a,     //   0.97735,  -0.21161
+    0x3fef492206bcabb4,     0xbfcae4f1d5f3b9ab,     //   0.97768,  -0.21011
+    0x3fef4bc38aa5c694,     0xbfcab3cb0ce6fe44,     //     0.978,  -0.20861
+    0x3fef4e603b0b2f2d,     0xbfca82a025b00451,     //   0.97832,  -0.20711
+    0x3fef50f81785c6b9,     0xbfca517127e3dabc,     //   0.97863,  -0.20561
+    0x3fef538b1faf2d07,     0xbfca203e1b1831da,     //   0.97895,  -0.20411
+    0x3fef56195321c090,     0xbfc9ef0706e35a35,     //   0.97926,  -0.20261
+    0x3fef58a2b1789e84,     0xbfc9bdcbf2dc4366,     //   0.97957,   -0.2011
+    0x3fef5b273a4fa2d9,     0xbfc98c8ce69a7aec,     //   0.97988,   -0.1996
+    0x3fef5da6ed43685d,     0xbfc95b49e9b62af9,     //   0.98018,   -0.1981
+    0x3fef6021c9f148c2,     0xbfc92a0303c8194f,     //   0.98048,  -0.19659
+    0x3fef6297cff75cb0,     0xbfc8f8b83c69a60a,     //   0.98079,  -0.19509
+    0x3fef6508fef47bd5,     0xbfc8c7699b34ca7e,     //   0.98108,  -0.19359
+    0x3fef677556883cee,     0xbfc8961727c41804,     //   0.98138,  -0.19208
+    0x3fef69dcd652f5de,     0xbfc864c0e9b2b6cf,     //   0.98167,  -0.19057
+    0x3fef6c3f7df5bbb7,     0xbfc83366e89c64c5,     //   0.98196,  -0.18907
+    0x3fef6e9d4d1262ca,     0xbfc802092c1d744b,     //   0.98225,  -0.18756
+    0x3fef70f6434b7eb7,     0xbfc7d0a7bbd2cb1b,     //   0.98254,  -0.18606
+    0x3fef734a60446279,     0xbfc79f429f59e11d,     //   0.98282,  -0.18455
+    0x3fef7599a3a12077,     0xbfc76dd9de50bf31,     //   0.98311,  -0.18304
+    0x3fef77e40d068a90,     0xbfc73c6d8055fe0a,     //   0.98339,  -0.18153
+    0x3fef7a299c1a322a,     0xbfc70afd8d08c4ff,     //   0.98366,  -0.18002
+    0x3fef7c6a50826840,     0xbfc6d98a0c08c8da,     //   0.98394,  -0.17851
+    0x3fef7ea629e63d6e,     0xbfc6a81304f64ab2,     //   0.98421,    -0.177
+    0x3fef80dd27ed8204,     0xbfc676987f7216b8,     //   0.98448,  -0.17549
+    0x3fef830f4a40c60c,     0xbfc6451a831d830d,     //   0.98475,  -0.17398
+    0x3fef853c9089595e,     0xbfc61399179a6e94,     //   0.98501,  -0.17247
+    0x3fef8764fa714ba9,     0xbfc5e214448b3fc6,     //   0.98528,  -0.17096
+    0x3fef898887a36c84,     0xbfc5b08c1192e381,     //   0.98554,  -0.16945
+    0x3fef8ba737cb4b78,     0xbfc57f008654cbde,     //    0.9858,  -0.16794
+    0x3fef8dc10a95380d,     0xbfc54d71aa74ef02,     //   0.98605,  -0.16643
+    0x3fef8fd5ffae41db,     0xbfc51bdf8597c5f2,     //   0.98631,  -0.16491
+    0x3fef91e616c43891,     0xbfc4ea4a1f624b61,     //   0.98656,   -0.1634
+    0x3fef93f14f85ac08,     0xbfc4b8b17f79fa88,     //   0.98681,  -0.16189
+    0x3fef95f7a9a1ec47,     0xbfc48715ad84cdf5,     //   0.98706,  -0.16037
+    0x3fef97f924c9099b,     0xbfc45576b1293e5a,     //    0.9873,  -0.15886
+    0x3fef99f5c0abd496,     0xbfc423d4920e4166,     //   0.98754,  -0.15734
+    0x3fef9bed7cfbde29,     0xbfc3f22f57db4893,     //   0.98778,  -0.15583
+    0x3fef9de0596b77a3,     0xbfc3c0870a383ff6,     //   0.98802,  -0.15431
+    0x3fef9fce55adb2c8,     0xbfc38edbb0cd8d14,     //   0.98826,   -0.1528
+    0x3fefa1b7717661d5,     0xbfc35d2d53440db2,     //   0.98849,  -0.15128
+    0x3fefa39bac7a1791,     0xbfc32b7bf94516a7,     //   0.98872,  -0.14976
+    0x3fefa57b066e2754,     0xbfc2f9c7aa7a72af,     //   0.98895,  -0.14825
+    0x3fefa7557f08a517,     0xbfc2c8106e8e613a,     //   0.98918,  -0.14673
+    0x3fefa92b1600657c,     0xbfc296564d2b953e,     //    0.9894,  -0.14521
+    0x3fefaafbcb0cfddc,     0xbfc264994dfd340a,     //   0.98962,   -0.1437
+    0x3fefacc79de6c44f,     0xbfc232d978aed413,     //   0.98984,  -0.14218
+    0x3fefae8e8e46cfbb,     0xbfc20116d4ec7bce,     //   0.99006,  -0.14066
+    0x3fefb0509be6f7db,     0xbfc1cf516a62a077,     //   0.99027,  -0.13914
+    0x3fefb20dc681d54d,     0xbfc19d8940be24e7,     //   0.99049,  -0.13762
+    0x3fefb3c60dd2c199,     0xbfc16bbe5fac5865,     //    0.9907,   -0.1361
+    0x3fefb5797195d741,     0xbfc139f0cedaf576,     //    0.9909,  -0.13458
+    0x3fefb727f187f1c7,     0xbfc1082095f820b0,     //   0.99111,  -0.13306
+    0x3fefb8d18d66adb7,     0xbfc0d64dbcb26786,     //   0.99131,  -0.13154
+    0x3fefba7644f068b5,     0xbfc0a4784ab8bf1d,     //   0.99151,  -0.13002
+    0x3fefbc1617e44186,     0xbfc072a047ba831d,     //   0.99171,   -0.1285
+    0x3fefbdb106021816,     0xbfc040c5bb67747e,     //   0.99191,  -0.12698
+    0x3fefbf470f0a8d88,     0xbfc00ee8ad6fb85b,     //    0.9921,  -0.12545
+    0x3fefc0d832bf043a,     0xbfbfba124b07ad85,     //   0.99229,  -0.12393
+    0x3fefc26470e19fd3,     0xbfbf564e56a9730e,     //   0.99248,  -0.12241
+    0x3fefc3ebc935454c,     0xbfbef2858d27561b,     //   0.99267,  -0.12089
+    0x3fefc56e3b7d9af6,     0xbfbe8eb7fde4aa3e,     //   0.99285,  -0.11937
+    0x3fefc6ebc77f0887,     0xbfbe2ae5b8457f77,     //   0.99303,  -0.11784
+    0x3fefc8646cfeb721,     0xbfbdc70ecbae9fc8,     //   0.99321,  -0.11632
+    0x3fefc9d82bc2915e,     0xbfbd633347858ce4,     //   0.99339,  -0.11479
+    0x3fefcb4703914354,     0xbfbcff533b307dc1,     //   0.99356,  -0.11327
+    0x3fefccb0f4323aa3,     0xbfbc9b6eb6165c42,     //   0.99374,  -0.11175
+    0x3fefce15fd6da67b,     0xbfbc3785c79ec2d5,     //   0.99391,  -0.11022
+    0x3fefcf761f0c77a3,     0xbfbbd3987f31fa0e,     //   0.99407,   -0.1087
+    0x3fefd0d158d86087,     0xbfbb6fa6ec38f64c,     //   0.99424,  -0.10717
+    0x3fefd227aa9bd53b,     0xbfbb0bb11e1d5559,     //    0.9944,  -0.10565
+    0x3fefd37914220b84,     0xbfbaa7b724495c04,     //   0.99456,  -0.10412
+    0x3fefd4c59536fae4,     0xbfba43b90e27f3c4,     //   0.99472,   -0.1026
+    0x3fefd60d2da75c9e,     0xbfb9dfb6eb24a85c,     //   0.99488,  -0.10107
+    0x3fefd74fdd40abbf,     0xbfb97bb0caaba56f,     //   0.99503, -0.099544
+    0x3fefd88da3d12526,     0xbfb917a6bc29b42c,     //   0.99518, -0.098017
+    0x3fefd9c68127c78c,     0xbfb8b398cf0c38e0,     //   0.99533,  -0.09649
+    0x3fefdafa7514538c,     0xbfb84f8712c130a0,     //   0.99548, -0.094963
+    0x3fefdc297f674ba9,     0xbfb7eb7196b72ee4,     //   0.99563, -0.093436
+    0x3fefdd539ff1f456,     0xbfb787586a5d5b21,     //   0.99577, -0.091909
+    0x3fefde78d68653fd,     0xbfb7233b9d236e71,     //   0.99591, -0.090381
+    0x3fefdf9922f73307,     0xbfb6bf1b3e79b129,     //   0.99604, -0.088854
+    0x3fefe0b485181be3,     0xbfb65af75dd0f87b,     //   0.99618, -0.087326
+    0x3fefe1cafcbd5b09,     0xbfb5f6d00a9aa419,     //   0.99631, -0.085797
+    0x3fefe2dc89bbff08,     0xbfb592a554489bc8,     //   0.99644, -0.084269
+    0x3fefe3e92be9d886,     0xbfb52e774a4d4d0a,     //   0.99657,  -0.08274
+    0x3fefe4f0e31d7a4a,     0xbfb4ca45fc1ba8b6,     //    0.9967, -0.081211
+    0x3fefe5f3af2e3940,     0xbfb4661179272096,     //   0.99682, -0.079682
+    0x3fefe6f18ff42c84,     0xbfb401d9d0e3a507,     //   0.99694, -0.078153
+    0x3fefe7ea85482d60,     0xbfb39d9f12c5a299,     //   0.99706, -0.076624
+    0x3fefe8de8f03d75c,     0xbfb339614e41ffa5,     //   0.99718, -0.075094
+    0x3fefe9cdad01883a,     0xbfb2d52092ce19f6,     //   0.99729, -0.073565
+    0x3fefeab7df1c6005,     0xbfb270dcefdfc45b,     //    0.9974, -0.072035
+    0x3fefeb9d2530410f,     0xbfb20c9674ed444c,     //   0.99751, -0.070505
+    0x3fefec7d7f19cffc,     0xbfb1a84d316d4f8a,     //   0.99762, -0.068974
+    0x3fefed58ecb673c4,     0xbfb1440134d709b2,     //   0.99772, -0.067444
+    0x3fefee2f6de455ba,     0xbfb0dfb28ea201e6,     //   0.99783, -0.065913
+    0x3fefef0102826191,     0xbfb07b614e463064,     //   0.99793, -0.064383
+    0x3fefefcdaa704562,     0xbfb0170d833bf421,     //   0.99802, -0.062852
+    0x3feff095658e71ad,     0xbfaf656e79f820e0,     //   0.99812, -0.061321
+    0x3feff15833be1965,     0xbfae9cbd15ff5527,     //   0.99821,  -0.05979
+    0x3feff21614e131ed,     0xbfadd406f9808ec8,     //    0.9983, -0.058258
+    0x3feff2cf08da7321,     0xbfad0b4c436f91d0,     //   0.99839, -0.056727
+    0x3feff3830f8d575c,     0xbfac428d12c0d7e3,     //   0.99848, -0.055195
+    0x3feff43228de1b77,     0xbfab79c986698b78,     //   0.99856, -0.053664
+    0x3feff4dc54b1bed3,     0xbfaab101bd5f8317,     //   0.99864, -0.052132
+    0x3feff58192ee0358,     0xbfa9e835d6993c87,     //   0.99872,   -0.0506
+    0x3feff621e3796d7e,     0xbfa91f65f10dd814,     //    0.9988, -0.049068
+    0x3feff6bd463b444d,     0xbfa856922bb513c1,     //   0.99887, -0.047535
+    0x3feff753bb1b9164,     0xbfa78dbaa5874685,     //   0.99894, -0.046003
+    0x3feff7e5420320f9,     0xbfa6c4df7d7d5b84,     //   0.99901, -0.044471
+    0x3feff871dadb81df,     0xbfa5fc00d290cd43,     //   0.99908, -0.042938
+    0x3feff8f9858f058b,     0xbfa5331ec3bba0eb,     //   0.99914, -0.041406
+    0x3feff97c4208c014,     0xbfa46a396ff86179,     //    0.9992, -0.039873
+    0x3feff9fa10348837,     0xbfa3a150f6421afc,     //   0.99926,  -0.03834
+    0x3feffa72effef75d,     0xbfa2d865759455cd,     //   0.99932, -0.036807
+    0x3feffae6e1556998,     0xbfa20f770ceb11c6,     //   0.99938, -0.035274
+    0x3feffb55e425fdae,     0xbfa14685db42c17e,     //   0.99943, -0.033741
+    0x3feffbbff85f9515,     0xbfa07d91ff984580,     //   0.99948, -0.032208
+    0x3feffc251df1d3f8,     0xbf9f693731d1cf01,     //   0.99953, -0.030675
+    0x3feffc8554cd213a,     0xbf9dd7458c64ab39,     //   0.99958, -0.029142
+    0x3feffce09ce2a679,     0xbf9c454f4ce53b1c,     //   0.99962, -0.027608
+    0x3feffd36f624500c,     0xbf9ab354b1504fca,     //   0.99966, -0.026075
+    0x3feffd886084cd0d,     0xbf992155f7a3667e,     //    0.9997, -0.024541
+    0x3feffdd4dbf78f52,     0xbf978f535ddc9f03,     //   0.99974, -0.023008
+    0x3feffe1c6870cb77,     0xbf95fd4d21fab226,     //   0.99977, -0.021474
+    0x3feffe5f05e578db,     0xbf946b4381fce81c,     //    0.9998,  -0.01994
+    0x3feffe9cb44b51a1,     0xbf92d936bbe30efd,     //   0.99983, -0.018407
+    0x3feffed57398d2b7,     0xbf9147270dad7132,     //   0.99986, -0.016873
+    0x3fefff0943c53bd1,     0xbf8f6a296ab997ca,     //   0.99988, -0.015339
+    0x3fefff3824c88f6f,     0xbf8c45ffe1e48ad9,     //    0.9999, -0.013805
+    0x3fefff62169b92db,     0xbf8921d1fcdec784,     //   0.99992, -0.012272
+    0x3fefff871937ce2f,     0xbf85fda037ac05e0,     //   0.99994, -0.010738
+    0x3fefffa72c978c4f,     0xbf82d96b0e509703,     //   0.99996,-0.0092038
+    0x3fefffc250b5daef,     0xbf7f6a65f9a2a3c5,     //   0.99997,-0.0076698
+    0x3fefffd8858e8a92,     0xbf7921f0fe670071,     //   0.99998,-0.0061359
+    0x3fefffe9cb1e2e8d,     0xbf72d97822f996bc,     //   0.99999,-0.0046019
+    0x3feffff621621d02,     0xbf6921f8becca4ba,     //         1, -0.003068
+    0x3feffffd88586ee6,     0xbf5921faaee6472d,     //         1, -0.001534
+
+
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
 /**
   @brief  Floating-point Twiddle factors Table Generation
 */
@@ -8534,6 +16899,8 @@
 
 #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
 
+
+
 /**
   @brief  Q31 Twiddle factors Table
 */
@@ -16142,6 +24509,678 @@
   @} end of CFFT_CIFFT group
 */
 
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_16)
+
+const uint16_t armBitRevIndexTableF64_16[ARMBITREVINDEXTABLEF64_16_TABLE_LENGTH] =
+{
+   /* radix 4, size 12 */
+   8,64, 16,32, 24,96, 40,80, 56,112, 88,104
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_32)
+const uint16_t armBitRevIndexTableF64_32[ARMBITREVINDEXTABLEF64_32_TABLE_LENGTH] =
+{
+   /* 4x2, size 24 */
+   8,128, 16,64, 24,192, 40,160, 48,96, 56,224, 72,144,
+   88,208, 104,176, 120,240, 152,200, 184,232
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_64)
+const uint16_t armBitRevIndexTableF64_64[ARMBITREVINDEXTABLEF64_64_TABLE_LENGTH] =
+{
+   /* radix 4, size 56 */
+   8,256, 16,128, 24,384, 32,64, 40,320, 48,192, 56,448, 72,288, 80,160, 88,416, 104,352,
+   112,224, 120,480, 136,272, 152,400, 168,336, 176,208, 184,464, 200,304, 216,432,
+   232,368, 248,496, 280,392, 296,328, 312,456, 344,424, 376,488, 440,472
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_128)
+const uint16_t armBitRevIndexTableF64_128[ARMBITREVINDEXTABLEF64_128_TABLE_LENGTH] =
+{
+   /* 4x2, size 112 */
+   8,512, 16,256, 24,768, 32,128, 40,640, 48,384, 56,896, 72,576, 80,320, 88,832, 96,192,
+   104,704, 112,448, 120,960, 136,544, 144,288, 152,800, 168,672, 176,416, 184,928, 200,608,
+   208,352, 216,864, 232,736, 240,480, 248,992, 264,528, 280,784, 296,656, 304,400, 312,912,
+   328,592, 344,848, 360,720, 368,464, 376,976, 392,560, 408,816, 424,688, 440,944, 456,624,
+   472,880, 488,752, 504,1008, 536,776, 552,648, 568,904, 600,840, 616,712, 632,968,
+   664,808, 696,936, 728,872, 760,1000, 824,920, 888,984
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_256)
+const uint16_t armBitRevIndexTableF64_256[ARMBITREVINDEXTABLEF64_256_TABLE_LENGTH] =
+{
+   /* radix 4, size 240 */
+   8,1024, 16,512, 24,1536, 32,256, 40,1280, 48,768, 56,1792, 64,128, 72,1152, 80,640,
+   88,1664, 96,384, 104,1408, 112,896, 120,1920, 136,1088, 144,576, 152,1600, 160,320,
+   168,1344, 176,832, 184,1856, 200,1216, 208,704, 216,1728, 224,448, 232,1472, 240,960,
+   248,1984, 264,1056, 272,544, 280,1568, 296,1312, 304,800, 312,1824, 328,1184, 336,672,
+   344,1696, 352,416, 360,1440, 368,928, 376,1952, 392,1120, 400,608, 408,1632, 424,1376,
+   432,864, 440,1888, 456,1248, 464,736, 472,1760, 488,1504, 496,992, 504,2016, 520,1040,
+   536,1552, 552,1296, 560,784, 568,1808, 584,1168, 592,656, 600,1680, 616,1424, 624,912,
+   632,1936, 648,1104, 664,1616, 680,1360, 688,848, 696,1872, 712,1232, 728,1744, 744,1488,
+   752,976, 760,2000, 776,1072, 792,1584, 808,1328, 824,1840, 840,1200, 856,1712, 872,1456,
+   880,944, 888,1968, 904,1136, 920,1648, 936,1392, 952,1904, 968,1264, 984,1776, 1000,1520,
+   1016,2032, 1048,1544, 1064,1288, 1080,1800, 1096,1160, 1112,1672, 1128,1416, 1144,1928,
+   1176,1608, 1192,1352, 1208,1864, 1240,1736, 1256,1480, 1272,1992, 1304,1576, 1336,1832,
+   1368,1704, 1384,1448, 1400,1960, 1432,1640, 1464,1896, 1496,1768, 1528,2024, 1592,1816,
+   1624,1688, 1656,1944, 1720,1880, 1784,2008, 1912,1976
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_512)
+const uint16_t armBitRevIndexTableF64_512[ARMBITREVINDEXTABLEF64_512_TABLE_LENGTH] =
+{
+   /* 4x2, size 480 */
+   8,2048, 16,1024, 24,3072, 32,512, 40,2560, 48,1536, 56,3584, 64,256, 72,2304, 80,1280,
+   88,3328, 96,768, 104,2816, 112,1792, 120,3840, 136,2176, 144,1152, 152,3200, 160,640,
+   168,2688, 176,1664, 184,3712, 192,384, 200,2432, 208,1408, 216,3456, 224,896, 232,2944,
+   240,1920, 248,3968, 264,2112, 272,1088, 280,3136, 288,576, 296,2624, 304,1600, 312,3648,
+   328,2368, 336,1344, 344,3392, 352,832, 360,2880, 368,1856, 376,3904, 392,2240, 400,1216,
+   408,3264, 416,704, 424,2752, 432,1728, 440,3776, 456,2496, 464,1472, 472,3520, 480,960,
+   488,3008, 496,1984, 504,4032, 520,2080, 528,1056, 536,3104, 552,2592, 560,1568, 568,3616,
+   584,2336, 592,1312, 600,3360, 608,800, 616,2848, 624,1824, 632,3872, 648,2208, 656,1184,
+   664,3232, 680,2720, 688,1696, 696,3744, 712,2464, 720,1440, 728,3488, 736,928, 744,2976,
+   752,1952, 760,4000, 776,2144, 784,1120, 792,3168, 808,2656, 816,1632, 824,3680, 840,2400,
+   848,1376, 856,3424, 872,2912, 880,1888, 888,3936, 904,2272, 912,1248, 920,3296, 936,2784,
+   944,1760, 952,3808, 968,2528, 976,1504, 984,3552, 1000,3040, 1008,2016, 1016,4064,
+   1032,2064, 1048,3088, 1064,2576, 1072,1552, 1080,3600, 1096,2320, 1104,1296, 1112,3344,
+   1128,2832, 1136,1808, 1144,3856, 1160,2192, 1176,3216, 1192,2704, 1200,1680, 1208,3728,
+   1224,2448, 1232,1424, 1240,3472, 1256,2960, 1264,1936, 1272,3984, 1288,2128, 1304,3152,
+   1320,2640, 1328,1616, 1336,3664, 1352,2384, 1368,3408, 1384,2896, 1392,1872, 1400,3920,
+   1416,2256, 1432,3280, 1448,2768, 1456,1744, 1464,3792, 1480,2512, 1496,3536, 1512,3024,
+   1520,2000, 1528,4048, 1544,2096, 1560,3120, 1576,2608, 1592,3632, 1608,2352, 1624,3376,
+   1640,2864, 1648,1840, 1656,3888, 1672,2224, 1688,3248, 1704,2736, 1720,3760, 1736,2480,
+   1752,3504, 1768,2992, 1776,1968, 1784,4016, 1800,2160, 1816,3184, 1832,2672, 1848,3696,
+   1864,2416, 1880,3440, 1896,2928, 1912,3952, 1928,2288, 1944,3312, 1960,2800, 1976,3824,
+   1992,2544, 2008,3568, 2024,3056, 2040,4080, 2072,3080, 2088,2568, 2104,3592, 2120,2312,
+   2136,3336, 2152,2824, 2168,3848, 2200,3208, 2216,2696, 2232,3720, 2248,2440, 2264,3464,
+   2280,2952, 2296,3976, 2328,3144, 2344,2632, 2360,3656, 2392,3400, 2408,2888, 2424,3912,
+   2456,3272, 2472,2760, 2488,3784, 2520,3528, 2536,3016, 2552,4040, 2584,3112, 2616,3624,
+   2648,3368, 2664,2856, 2680,3880, 2712,3240, 2744,3752, 2776,3496, 2792,2984, 2808,4008,
+   2840,3176, 2872,3688, 2904,3432, 2936,3944, 2968,3304, 3000,3816, 3032,3560, 3064,4072,
+   3128,3608, 3160,3352, 3192,3864, 3256,3736, 3288,3480, 3320,3992, 3384,3672, 3448,3928,
+   3512,3800, 3576,4056, 3704,3896, 3832,4024
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_1024)
+const uint16_t armBitRevIndexTableF64_1024[ARMBITREVINDEXTABLEF64_1024_TABLE_LENGTH] =
+{
+    /* radix 4, size 992 */
+    8,4096, 16,2048, 24,6144, 32,1024, 40,5120, 48,3072, 56,7168, 64,512, 72,4608,
+    80,2560, 88,6656, 96,1536, 104,5632, 112,3584, 120,7680, 128,256, 136,4352,
+    144,2304, 152,6400, 160,1280, 168,5376, 176,3328, 184,7424, 192,768, 200,4864,
+    208,2816, 216,6912, 224,1792, 232,5888, 240,3840, 248,7936, 264,4224, 272,2176,
+    280,6272, 288,1152, 296,5248, 304,3200, 312,7296, 320,640, 328,4736, 336,2688,
+    344,6784, 352,1664, 360,5760, 368,3712, 376,7808, 392,4480, 400,2432, 408,6528,
+    416,1408, 424,5504, 432,3456, 440,7552, 448,896, 456,4992, 464,2944, 472,7040,
+    480,1920, 488,6016, 496,3968, 504,8064, 520,4160, 528,2112, 536,6208, 544,1088,
+    552,5184, 560,3136, 568,7232, 584,4672, 592,2624, 600,6720, 608,1600, 616,5696,
+    624,3648, 632,7744, 648,4416, 656,2368, 664,6464, 672,1344, 680,5440, 688,3392,
+    696,7488, 704,832, 712,4928, 720,2880, 728,6976, 736,1856, 744,5952, 752,3904,
+    760,8000, 776,4288, 784,2240, 792,6336, 800,1216, 808,5312, 816,3264, 824,7360,
+    840,4800, 848,2752, 856,6848, 864,1728, 872,5824, 880,3776, 888,7872, 904,4544,
+    912,2496, 920,6592, 928,1472, 936,5568, 944,3520, 952,7616, 968,5056, 976,3008,
+    984,7104, 992,1984, 1000,6080, 1008,4032, 1016,8128, 1032,4128, 1040,2080,
+    1048,6176, 1064,5152, 1072,3104, 1080,7200, 1096,4640, 1104,2592, 1112,6688,
+    1120,1568, 1128,5664, 1136,3616, 1144,7712, 1160,4384, 1168,2336, 1176,6432,
+    1184,1312, 1192,5408, 1200,3360, 1208,7456, 1224,4896, 1232,2848, 1240,6944,
+    1248,1824, 1256,5920, 1264,3872, 1272,7968, 1288,4256, 1296,2208, 1304,6304,
+    1320,5280, 1328,3232, 1336,7328, 1352,4768, 1360,2720, 1368,6816, 1376,1696,
+    1384,5792, 1392,3744, 1400,7840, 1416,4512, 1424,2464, 1432,6560, 1448,5536,
+    1456,3488, 1464,7584, 1480,5024, 1488,2976, 1496,7072, 1504,1952, 1512,6048,
+    1520,4000, 1528,8096, 1544,4192, 1552,2144, 1560,6240, 1576,5216, 1584,3168,
+    1592,7264, 1608,4704, 1616,2656, 1624,6752, 1640,5728, 1648,3680, 1656,7776,
+    1672,4448, 1680,2400, 1688,6496, 1704,5472, 1712,3424, 1720,7520, 1736,4960,
+    1744,2912, 1752,7008, 1760,1888, 1768,5984, 1776,3936, 1784,8032, 1800,4320,
+    1808,2272, 1816,6368, 1832,5344, 1840,3296, 1848,7392, 1864,4832, 1872,2784,
+    1880,6880, 1896,5856, 1904,3808, 1912,7904, 1928,4576, 1936,2528, 1944,6624,
+    1960,5600, 1968,3552, 1976,7648, 1992,5088, 2000,3040, 2008,7136, 2024,6112,
+    2032,4064, 2040,8160, 2056,4112, 2072,6160, 2088,5136, 2096,3088, 2104,7184,
+    2120,4624, 2128,2576, 2136,6672, 2152,5648, 2160,3600, 2168,7696, 2184,4368,
+    2192,2320, 2200,6416, 2216,5392, 2224,3344, 2232,7440, 2248,4880, 2256,2832,
+    2264,6928, 2280,5904, 2288,3856, 2296,7952, 2312,4240, 2328,6288, 2344,5264,
+    2352,3216, 2360,7312, 2376,4752, 2384,2704, 2392,6800, 2408,5776, 2416,3728,
+    2424,7824, 2440,4496, 2456,6544, 2472,5520, 2480,3472, 2488,7568, 2504,5008,
+    2512,2960, 2520,7056, 2536,6032, 2544,3984, 2552,8080, 2568,4176, 2584,6224,
+    2600,5200, 2608,3152, 2616,7248, 2632,4688, 2648,6736, 2664,5712, 2672,3664,
+    2680,7760, 2696,4432, 2712,6480, 2728,5456, 2736,3408, 2744,7504, 2760,4944,
+    2768,2896, 2776,6992, 2792,5968, 2800,3920, 2808,8016, 2824,4304, 2840,6352,
+    2856,5328, 2864,3280, 2872,7376, 2888,4816, 2904,6864, 2920,5840, 2928,3792,
+    2936,7888, 2952,4560, 2968,6608, 2984,5584, 2992,3536, 3000,7632, 3016,5072,
+    3032,7120, 3048,6096, 3056,4048, 3064,8144, 3080,4144, 3096,6192, 3112,5168,
+    3128,7216, 3144,4656, 3160,6704, 3176,5680, 3184,3632, 3192,7728, 3208,4400,
+    3224,6448, 3240,5424, 3248,3376, 3256,7472, 3272,4912, 3288,6960, 3304,5936,
+    3312,3888, 3320,7984, 3336,4272, 3352,6320, 3368,5296, 3384,7344, 3400,4784,
+    3416,6832, 3432,5808, 3440,3760, 3448,7856, 3464,4528, 3480,6576, 3496,5552,
+    3512,7600, 3528,5040, 3544,7088, 3560,6064, 3568,4016, 3576,8112, 3592,4208,
+    3608,6256, 3624,5232, 3640,7280, 3656,4720, 3672,6768, 3688,5744, 3704,7792,
+    3720,4464, 3736,6512, 3752,5488, 3768,7536, 3784,4976, 3800,7024, 3816,6000,
+    3824,3952, 3832,8048, 3848,4336, 3864,6384, 3880,5360, 3896,7408, 3912,4848,
+    3928,6896, 3944,5872, 3960,7920, 3976,4592, 3992,6640, 4008,5616, 4024,7664,
+    4040,5104, 4056,7152, 4072,6128, 4088,8176, 4120,6152, 4136,5128, 4152,7176,
+    4168,4616, 4184,6664, 4200,5640, 4216,7688, 4232,4360, 4248,6408, 4264,5384,
+    4280,7432, 4296,4872, 4312,6920, 4328,5896, 4344,7944, 4376,6280, 4392,5256,
+    4408,7304, 4424,4744, 4440,6792, 4456,5768, 4472,7816, 4504,6536, 4520,5512,
+    4536,7560, 4552,5000, 4568,7048, 4584,6024, 4600,8072, 4632,6216, 4648,5192,
+    4664,7240, 4696,6728, 4712,5704, 4728,7752, 4760,6472, 4776,5448, 4792,7496,
+    4808,4936, 4824,6984, 4840,5960, 4856,8008, 4888,6344, 4904,5320, 4920,7368,
+    4952,6856, 4968,5832, 4984,7880, 5016,6600, 5032,5576, 5048,7624, 5080,7112,
+    5096,6088, 5112,8136, 5144,6184, 5176,7208, 5208,6696, 5224,5672, 5240,7720,
+    5272,6440, 5288,5416, 5304,7464, 5336,6952, 5352,5928, 5368,7976, 5400,6312,
+    5432,7336, 5464,6824, 5480,5800, 5496,7848, 5528,6568, 5560,7592, 5592,7080,
+    5608,6056, 5624,8104, 5656,6248, 5688,7272, 5720,6760, 5752,7784, 5784,6504,
+    5816,7528, 5848,7016, 5864,5992, 5880,8040, 5912,6376, 5944,7400, 5976,6888,
+    6008,7912, 6040,6632, 6072,7656, 6104,7144, 6136,8168, 6200,7192, 6232,6680,
+    6264,7704, 6296,6424, 6328,7448, 6360,6936, 6392,7960, 6456,7320, 6488,6808,
+    6520,7832, 6584,7576, 6616,7064, 6648,8088, 6712,7256, 6776,7768, 6840,7512,
+    6872,7000, 6904,8024, 6968,7384, 7032,7896, 7096,7640, 7160,8152, 7288,7736,
+    7352,7480, 7416,7992, 7544,7864, 7672,8120, 7928,8056
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_2048)
+const uint16_t armBitRevIndexTableF64_2048[ARMBITREVINDEXTABLEF64_2048_TABLE_LENGTH] =
+{
+    /* 4x2, size 1984 */
+    8,8192, 16,4096, 24,12288, 32,2048, 40,10240, 48,6144, 56,14336, 64,1024,
+    72,9216, 80,5120, 88,13312, 96,3072, 104,11264, 112,7168, 120,15360, 128,512,
+    136,8704, 144,4608, 152,12800, 160,2560, 168,10752, 176,6656, 184,14848,
+    192,1536, 200,9728, 208,5632, 216,13824, 224,3584, 232,11776, 240,7680,
+    248,15872, 264,8448, 272,4352, 280,12544, 288,2304, 296,10496, 304,6400,
+    312,14592, 320,1280, 328,9472, 336,5376, 344,13568, 352,3328, 360,11520,
+    368,7424, 376,15616, 384,768, 392,8960, 400,4864, 408,13056, 416,2816,
+    424,11008, 432,6912, 440,15104, 448,1792, 456,9984, 464,5888, 472,14080,
+    480,3840, 488,12032, 496,7936, 504,16128, 520,8320, 528,4224, 536,12416,
+    544,2176, 552,10368, 560,6272, 568,14464, 576,1152, 584,9344, 592,5248,
+    600,13440, 608,3200, 616,11392, 624,7296, 632,15488, 648,8832, 656,4736,
+    664,12928, 672,2688, 680,10880, 688,6784, 696,14976, 704,1664, 712,9856,
+    720,5760, 728,13952, 736,3712, 744,11904, 752,7808, 760,16000, 776,8576,
+    784,4480, 792,12672, 800,2432, 808,10624, 816,6528, 824,14720, 832,1408,
+    840,9600, 848,5504, 856,13696, 864,3456, 872,11648, 880,7552, 888,15744,
+    904,9088, 912,4992, 920,13184, 928,2944, 936,11136, 944,7040, 952,15232,
+    960,1920, 968,10112, 976,6016, 984,14208, 992,3968, 1000,12160, 1008,8064,
+    1016,16256, 1032,8256, 1040,4160, 1048,12352, 1056,2112, 1064,10304, 1072,6208,
+    1080,14400, 1096,9280, 1104,5184, 1112,13376, 1120,3136, 1128,11328, 1136,7232,
+    1144,15424, 1160,8768, 1168,4672, 1176,12864, 1184,2624, 1192,10816, 1200,6720,
+    1208,14912, 1216,1600, 1224,9792, 1232,5696, 1240,13888, 1248,3648, 1256,11840,
+    1264,7744, 1272,15936, 1288,8512, 1296,4416, 1304,12608, 1312,2368, 1320,10560,
+    1328,6464, 1336,14656, 1352,9536, 1360,5440, 1368,13632, 1376,3392, 1384,11584,
+    1392,7488, 1400,15680, 1416,9024, 1424,4928, 1432,13120, 1440,2880, 1448,11072,
+    1456,6976, 1464,15168, 1472,1856, 1480,10048, 1488,5952, 1496,14144, 1504,3904,
+    1512,12096, 1520,8000, 1528,16192, 1544,8384, 1552,4288, 1560,12480, 1568,2240,
+    1576,10432, 1584,6336, 1592,14528, 1608,9408, 1616,5312, 1624,13504, 1632,3264,
+    1640,11456, 1648,7360, 1656,15552, 1672,8896, 1680,4800, 1688,12992, 1696,2752,
+    1704,10944, 1712,6848, 1720,15040, 1736,9920, 1744,5824, 1752,14016, 1760,3776,
+    1768,11968, 1776,7872, 1784,16064, 1800,8640, 1808,4544, 1816,12736, 1824,2496,
+    1832,10688, 1840,6592, 1848,14784, 1864,9664, 1872,5568, 1880,13760, 1888,3520,
+    1896,11712, 1904,7616, 1912,15808, 1928,9152, 1936,5056, 1944,13248, 1952,3008,
+    1960,11200, 1968,7104, 1976,15296, 1992,10176, 2000,6080, 2008,14272, 2016,4032,
+    2024,12224, 2032,8128, 2040,16320, 2056,8224, 2064,4128, 2072,12320, 2088,10272,
+    2096,6176, 2104,14368, 2120,9248, 2128,5152, 2136,13344, 2144,3104, 2152,11296,
+    2160,7200, 2168,15392, 2184,8736, 2192,4640, 2200,12832, 2208,2592, 2216,10784,
+    2224,6688, 2232,14880, 2248,9760, 2256,5664, 2264,13856, 2272,3616, 2280,11808,
+    2288,7712, 2296,15904, 2312,8480, 2320,4384, 2328,12576, 2344,10528, 2352,6432,
+    2360,14624, 2376,9504, 2384,5408, 2392,13600, 2400,3360, 2408,11552, 2416,7456,
+    2424,15648, 2440,8992, 2448,4896, 2456,13088, 2464,2848, 2472,11040, 2480,6944,
+    2488,15136, 2504,10016, 2512,5920, 2520,14112, 2528,3872, 2536,12064, 2544,7968,
+    2552,16160, 2568,8352, 2576,4256, 2584,12448, 2600,10400, 2608,6304, 2616,14496,
+    2632,9376, 2640,5280, 2648,13472, 2656,3232, 2664,11424, 2672,7328, 2680,15520,
+    2696,8864, 2704,4768, 2712,12960, 2728,10912, 2736,6816, 2744,15008, 2760,9888,
+    2768,5792, 2776,13984, 2784,3744, 2792,11936, 2800,7840, 2808,16032, 2824,8608,
+    2832,4512, 2840,12704, 2856,10656, 2864,6560, 2872,14752, 2888,9632, 2896,5536,
+    2904,13728, 2912,3488, 2920,11680, 2928,7584, 2936,15776, 2952,9120, 2960,5024,
+    2968,13216, 2984,11168, 2992,7072, 3000,15264, 3016,10144, 3024,6048,
+    3032,14240, 3040,4000, 3048,12192, 3056,8096, 3064,16288, 3080,8288, 3088,4192,
+    3096,12384, 3112,10336, 3120,6240, 3128,14432, 3144,9312, 3152,5216, 3160,13408,
+    3176,11360, 3184,7264, 3192,15456, 3208,8800, 3216,4704, 3224,12896, 3240,10848,
+    3248,6752, 3256,14944, 3272,9824, 3280,5728, 3288,13920, 3296,3680, 3304,11872,
+    3312,7776, 3320,15968, 3336,8544, 3344,4448, 3352,12640, 3368,10592, 3376,6496,
+    3384,14688, 3400,9568, 3408,5472, 3416,13664, 3432,11616, 3440,7520, 3448,15712,
+    3464,9056, 3472,4960, 3480,13152, 3496,11104, 3504,7008, 3512,15200, 3528,10080,
+    3536,5984, 3544,14176, 3552,3936, 3560,12128, 3568,8032, 3576,16224, 3592,8416,
+    3600,4320, 3608,12512, 3624,10464, 3632,6368, 3640,14560, 3656,9440, 3664,5344,
+    3672,13536, 3688,11488, 3696,7392, 3704,15584, 3720,8928, 3728,4832, 3736,13024,
+    3752,10976, 3760,6880, 3768,15072, 3784,9952, 3792,5856, 3800,14048, 3816,12000,
+    3824,7904, 3832,16096, 3848,8672, 3856,4576, 3864,12768, 3880,10720, 3888,6624,
+    3896,14816, 3912,9696, 3920,5600, 3928,13792, 3944,11744, 3952,7648, 3960,15840,
+    3976,9184, 3984,5088, 3992,13280, 4008,11232, 4016,7136, 4024,15328, 4040,10208,
+    4048,6112, 4056,14304, 4072,12256, 4080,8160, 4088,16352, 4104,8208, 4120,12304,
+    4136,10256, 4144,6160, 4152,14352, 4168,9232, 4176,5136, 4184,13328, 4200,11280,
+    4208,7184, 4216,15376, 4232,8720, 4240,4624, 4248,12816, 4264,10768, 4272,6672,
+    4280,14864, 4296,9744, 4304,5648, 4312,13840, 4328,11792, 4336,7696, 4344,15888,
+    4360,8464, 4376,12560, 4392,10512, 4400,6416, 4408,14608, 4424,9488, 4432,5392,
+    4440,13584, 4456,11536, 4464,7440, 4472,15632, 4488,8976, 4496,4880, 4504,13072,
+    4520,11024, 4528,6928, 4536,15120, 4552,10000, 4560,5904, 4568,14096,
+    4584,12048, 4592,7952, 4600,16144, 4616,8336, 4632,12432, 4648,10384, 4656,6288,
+    4664,14480, 4680,9360, 4688,5264, 4696,13456, 4712,11408, 4720,7312, 4728,15504,
+    4744,8848, 4760,12944, 4776,10896, 4784,6800, 4792,14992, 4808,9872, 4816,5776,
+    4824,13968, 4840,11920, 4848,7824, 4856,16016, 4872,8592, 4888,12688,
+    4904,10640, 4912,6544, 4920,14736, 4936,9616, 4944,5520, 4952,13712, 4968,11664,
+    4976,7568, 4984,15760, 5000,9104, 5016,13200, 5032,11152, 5040,7056, 5048,15248,
+    5064,10128, 5072,6032, 5080,14224, 5096,12176, 5104,8080, 5112,16272, 5128,8272,
+    5144,12368, 5160,10320, 5168,6224, 5176,14416, 5192,9296, 5208,13392,
+    5224,11344, 5232,7248, 5240,15440, 5256,8784, 5272,12880, 5288,10832, 5296,6736,
+    5304,14928, 5320,9808, 5328,5712, 5336,13904, 5352,11856, 5360,7760, 5368,15952,
+    5384,8528, 5400,12624, 5416,10576, 5424,6480, 5432,14672, 5448,9552, 5464,13648,
+    5480,11600, 5488,7504, 5496,15696, 5512,9040, 5528,13136, 5544,11088, 5552,6992,
+    5560,15184, 5576,10064, 5584,5968, 5592,14160, 5608,12112, 5616,8016,
+    5624,16208, 5640,8400, 5656,12496, 5672,10448, 5680,6352, 5688,14544, 5704,9424,
+    5720,13520, 5736,11472, 5744,7376, 5752,15568, 5768,8912, 5784,13008,
+    5800,10960, 5808,6864, 5816,15056, 5832,9936, 5848,14032, 5864,11984, 5872,7888,
+    5880,16080, 5896,8656, 5912,12752, 5928,10704, 5936,6608, 5944,14800, 5960,9680,
+    5976,13776, 5992,11728, 6000,7632, 6008,15824, 6024,9168, 6040,13264,
+    6056,11216, 6064,7120, 6072,15312, 6088,10192, 6104,14288, 6120,12240,
+    6128,8144, 6136,16336, 6152,8240, 6168,12336, 6184,10288, 6200,14384, 6216,9264,
+    6232,13360, 6248,11312, 6256,7216, 6264,15408, 6280,8752, 6296,12848,
+    6312,10800, 6320,6704, 6328,14896, 6344,9776, 6360,13872, 6376,11824, 6384,7728,
+    6392,15920, 6408,8496, 6424,12592, 6440,10544, 6456,14640, 6472,9520,
+    6488,13616, 6504,11568, 6512,7472, 6520,15664, 6536,9008, 6552,13104,
+    6568,11056, 6576,6960, 6584,15152, 6600,10032, 6616,14128, 6632,12080,
+    6640,7984, 6648,16176, 6664,8368, 6680,12464, 6696,10416, 6712,14512, 6728,9392,
+    6744,13488, 6760,11440, 6768,7344, 6776,15536, 6792,8880, 6808,12976,
+    6824,10928, 6840,15024, 6856,9904, 6872,14000, 6888,11952, 6896,7856,
+    6904,16048, 6920,8624, 6936,12720, 6952,10672, 6968,14768, 6984,9648,
+    7000,13744, 7016,11696, 7024,7600, 7032,15792, 7048,9136, 7064,13232,
+    7080,11184, 7096,15280, 7112,10160, 7128,14256, 7144,12208, 7152,8112,
+    7160,16304, 7176,8304, 7192,12400, 7208,10352, 7224,14448, 7240,9328,
+    7256,13424, 7272,11376, 7288,15472, 7304,8816, 7320,12912, 7336,10864,
+    7352,14960, 7368,9840, 7384,13936, 7400,11888, 7408,7792, 7416,15984, 7432,8560,
+    7448,12656, 7464,10608, 7480,14704, 7496,9584, 7512,13680, 7528,11632,
+    7544,15728, 7560,9072, 7576,13168, 7592,11120, 7608,15216, 7624,10096,
+    7640,14192, 7656,12144, 7664,8048, 7672,16240, 7688,8432, 7704,12528,
+    7720,10480, 7736,14576, 7752,9456, 7768,13552, 7784,11504, 7800,15600,
+    7816,8944, 7832,13040, 7848,10992, 7864,15088, 7880,9968, 7896,14064,
+    7912,12016, 7928,16112, 7944,8688, 7960,12784, 7976,10736, 7992,14832,
+    8008,9712, 8024,13808, 8040,11760, 8056,15856, 8072,9200, 8088,13296,
+    8104,11248, 8120,15344, 8136,10224, 8152,14320, 8168,12272, 8184,16368,
+    8216,12296, 8232,10248, 8248,14344, 8264,9224, 8280,13320, 8296,11272,
+    8312,15368, 8328,8712, 8344,12808, 8360,10760, 8376,14856, 8392,9736,
+    8408,13832, 8424,11784, 8440,15880, 8472,12552, 8488,10504, 8504,14600,
+    8520,9480, 8536,13576, 8552,11528, 8568,15624, 8584,8968, 8600,13064,
+    8616,11016, 8632,15112, 8648,9992, 8664,14088, 8680,12040, 8696,16136,
+    8728,12424, 8744,10376, 8760,14472, 8776,9352, 8792,13448, 8808,11400,
+    8824,15496, 8856,12936, 8872,10888, 8888,14984, 8904,9864, 8920,13960,
+    8936,11912, 8952,16008, 8984,12680, 9000,10632, 9016,14728, 9032,9608,
+    9048,13704, 9064,11656, 9080,15752, 9112,13192, 9128,11144, 9144,15240,
+    9160,10120, 9176,14216, 9192,12168, 9208,16264, 9240,12360, 9256,10312,
+    9272,14408, 9304,13384, 9320,11336, 9336,15432, 9368,12872, 9384,10824,
+    9400,14920, 9416,9800, 9432,13896, 9448,11848, 9464,15944, 9496,12616,
+    9512,10568, 9528,14664, 9560,13640, 9576,11592, 9592,15688, 9624,13128,
+    9640,11080, 9656,15176, 9672,10056, 9688,14152, 9704,12104, 9720,16200,
+    9752,12488, 9768,10440, 9784,14536, 9816,13512, 9832,11464, 9848,15560,
+    9880,13000, 9896,10952, 9912,15048, 9944,14024, 9960,11976, 9976,16072,
+    10008,12744, 10024,10696, 10040,14792, 10072,13768, 10088,11720, 10104,15816,
+    10136,13256, 10152,11208, 10168,15304, 10200,14280, 10216,12232, 10232,16328,
+    10264,12328, 10296,14376, 10328,13352, 10344,11304, 10360,15400, 10392,12840,
+    10408,10792, 10424,14888, 10456,13864, 10472,11816, 10488,15912, 10520,12584,
+    10552,14632, 10584,13608, 10600,11560, 10616,15656, 10648,13096, 10664,11048,
+    10680,15144, 10712,14120, 10728,12072, 10744,16168, 10776,12456, 10808,14504,
+    10840,13480, 10856,11432, 10872,15528, 10904,12968, 10936,15016, 10968,13992,
+    10984,11944, 11000,16040, 11032,12712, 11064,14760, 11096,13736, 11112,11688,
+    11128,15784, 11160,13224, 11192,15272, 11224,14248, 11240,12200, 11256,16296,
+    11288,12392, 11320,14440, 11352,13416, 11384,15464, 11416,12904, 11448,14952,
+    11480,13928, 11496,11880, 11512,15976, 11544,12648, 11576,14696, 11608,13672,
+    11640,15720, 11672,13160, 11704,15208, 11736,14184, 11752,12136, 11768,16232,
+    11800,12520, 11832,14568, 11864,13544, 11896,15592, 11928,13032, 11960,15080,
+    11992,14056, 12024,16104, 12056,12776, 12088,14824, 12120,13800, 12152,15848,
+    12184,13288, 12216,15336, 12248,14312, 12280,16360, 12344,14360, 12376,13336,
+    12408,15384, 12440,12824, 12472,14872, 12504,13848, 12536,15896, 12600,14616,
+    12632,13592, 12664,15640, 12696,13080, 12728,15128, 12760,14104, 12792,16152,
+    12856,14488, 12888,13464, 12920,15512, 12984,15000, 13016,13976, 13048,16024,
+    13112,14744, 13144,13720, 13176,15768, 13240,15256, 13272,14232, 13304,16280,
+    13368,14424, 13432,15448, 13496,14936, 13528,13912, 13560,15960, 13624,14680,
+    13688,15704, 13752,15192, 13784,14168, 13816,16216, 13880,14552, 13944,15576,
+    14008,15064, 14072,16088, 14136,14808, 14200,15832, 14264,15320, 14328,16344,
+    14456,15416, 14520,14904, 14584,15928, 14712,15672, 14776,15160, 14840,16184,
+    14968,15544, 15096,16056, 15224,15800, 15352,16312, 15608,15992, 15864,16248
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_4096)
+const uint16_t armBitRevIndexTableF64_4096[ARMBITREVINDEXTABLEF64_4096_TABLE_LENGTH] =
+{
+    /* radix 4, size 4032 */
+    8,16384, 16,8192, 24,24576, 32,4096, 40,20480, 48,12288, 56,28672, 64,2048,
+    72,18432, 80,10240, 88,26624, 96,6144, 104,22528, 112,14336, 120,30720,
+    128,1024, 136,17408, 144,9216, 152,25600, 160,5120, 168,21504, 176,13312,
+    184,29696, 192,3072, 200,19456, 208,11264, 216,27648, 224,7168, 232,23552,
+    240,15360, 248,31744, 256,512, 264,16896, 272,8704, 280,25088, 288,4608,
+    296,20992, 304,12800, 312,29184, 320,2560, 328,18944, 336,10752, 344,27136,
+    352,6656, 360,23040, 368,14848, 376,31232, 384,1536, 392,17920, 400,9728,
+    408,26112, 416,5632, 424,22016, 432,13824, 440,30208, 448,3584, 456,19968,
+    464,11776, 472,28160, 480,7680, 488,24064, 496,15872, 504,32256, 520,16640,
+    528,8448, 536,24832, 544,4352, 552,20736, 560,12544, 568,28928, 576,2304,
+    584,18688, 592,10496, 600,26880, 608,6400, 616,22784, 624,14592, 632,30976,
+    640,1280, 648,17664, 656,9472, 664,25856, 672,5376, 680,21760, 688,13568,
+    696,29952, 704,3328, 712,19712, 720,11520, 728,27904, 736,7424, 744,23808,
+    752,15616, 760,32000, 776,17152, 784,8960, 792,25344, 800,4864, 808,21248,
+    816,13056, 824,29440, 832,2816, 840,19200, 848,11008, 856,27392, 864,6912,
+    872,23296, 880,15104, 888,31488, 896,1792, 904,18176, 912,9984, 920,26368,
+    928,5888, 936,22272, 944,14080, 952,30464, 960,3840, 968,20224, 976,12032,
+    984,28416, 992,7936, 1000,24320, 1008,16128, 1016,32512, 1032,16512, 1040,8320,
+    1048,24704, 1056,4224, 1064,20608, 1072,12416, 1080,28800, 1088,2176,
+    1096,18560, 1104,10368, 1112,26752, 1120,6272, 1128,22656, 1136,14464,
+    1144,30848, 1160,17536, 1168,9344, 1176,25728, 1184,5248, 1192,21632,
+    1200,13440, 1208,29824, 1216,3200, 1224,19584, 1232,11392, 1240,27776,
+    1248,7296, 1256,23680, 1264,15488, 1272,31872, 1288,17024, 1296,8832,
+    1304,25216, 1312,4736, 1320,21120, 1328,12928, 1336,29312, 1344,2688,
+    1352,19072, 1360,10880, 1368,27264, 1376,6784, 1384,23168, 1392,14976,
+    1400,31360, 1408,1664, 1416,18048, 1424,9856, 1432,26240, 1440,5760, 1448,22144,
+    1456,13952, 1464,30336, 1472,3712, 1480,20096, 1488,11904, 1496,28288,
+    1504,7808, 1512,24192, 1520,16000, 1528,32384, 1544,16768, 1552,8576,
+    1560,24960, 1568,4480, 1576,20864, 1584,12672, 1592,29056, 1600,2432,
+    1608,18816, 1616,10624, 1624,27008, 1632,6528, 1640,22912, 1648,14720,
+    1656,31104, 1672,17792, 1680,9600, 1688,25984, 1696,5504, 1704,21888,
+    1712,13696, 1720,30080, 1728,3456, 1736,19840, 1744,11648, 1752,28032,
+    1760,7552, 1768,23936, 1776,15744, 1784,32128, 1800,17280, 1808,9088,
+    1816,25472, 1824,4992, 1832,21376, 1840,13184, 1848,29568, 1856,2944,
+    1864,19328, 1872,11136, 1880,27520, 1888,7040, 1896,23424, 1904,15232,
+    1912,31616, 1928,18304, 1936,10112, 1944,26496, 1952,6016, 1960,22400,
+    1968,14208, 1976,30592, 1984,3968, 1992,20352, 2000,12160, 2008,28544,
+    2016,8064, 2024,24448, 2032,16256, 2040,32640, 2056,16448, 2064,8256,
+    2072,24640, 2080,4160, 2088,20544, 2096,12352, 2104,28736, 2120,18496,
+    2128,10304, 2136,26688, 2144,6208, 2152,22592, 2160,14400, 2168,30784,
+    2184,17472, 2192,9280, 2200,25664, 2208,5184, 2216,21568, 2224,13376,
+    2232,29760, 2240,3136, 2248,19520, 2256,11328, 2264,27712, 2272,7232,
+    2280,23616, 2288,15424, 2296,31808, 2312,16960, 2320,8768, 2328,25152,
+    2336,4672, 2344,21056, 2352,12864, 2360,29248, 2368,2624, 2376,19008,
+    2384,10816, 2392,27200, 2400,6720, 2408,23104, 2416,14912, 2424,31296,
+    2440,17984, 2448,9792, 2456,26176, 2464,5696, 2472,22080, 2480,13888,
+    2488,30272, 2496,3648, 2504,20032, 2512,11840, 2520,28224, 2528,7744,
+    2536,24128, 2544,15936, 2552,32320, 2568,16704, 2576,8512, 2584,24896,
+    2592,4416, 2600,20800, 2608,12608, 2616,28992, 2632,18752, 2640,10560,
+    2648,26944, 2656,6464, 2664,22848, 2672,14656, 2680,31040, 2696,17728,
+    2704,9536, 2712,25920, 2720,5440, 2728,21824, 2736,13632, 2744,30016, 2752,3392,
+    2760,19776, 2768,11584, 2776,27968, 2784,7488, 2792,23872, 2800,15680,
+    2808,32064, 2824,17216, 2832,9024, 2840,25408, 2848,4928, 2856,21312,
+    2864,13120, 2872,29504, 2888,19264, 2896,11072, 2904,27456, 2912,6976,
+    2920,23360, 2928,15168, 2936,31552, 2952,18240, 2960,10048, 2968,26432,
+    2976,5952, 2984,22336, 2992,14144, 3000,30528, 3008,3904, 3016,20288,
+    3024,12096, 3032,28480, 3040,8000, 3048,24384, 3056,16192, 3064,32576,
+    3080,16576, 3088,8384, 3096,24768, 3104,4288, 3112,20672, 3120,12480,
+    3128,28864, 3144,18624, 3152,10432, 3160,26816, 3168,6336, 3176,22720,
+    3184,14528, 3192,30912, 3208,17600, 3216,9408, 3224,25792, 3232,5312,
+    3240,21696, 3248,13504, 3256,29888, 3272,19648, 3280,11456, 3288,27840,
+    3296,7360, 3304,23744, 3312,15552, 3320,31936, 3336,17088, 3344,8896,
+    3352,25280, 3360,4800, 3368,21184, 3376,12992, 3384,29376, 3400,19136,
+    3408,10944, 3416,27328, 3424,6848, 3432,23232, 3440,15040, 3448,31424,
+    3464,18112, 3472,9920, 3480,26304, 3488,5824, 3496,22208, 3504,14016,
+    3512,30400, 3520,3776, 3528,20160, 3536,11968, 3544,28352, 3552,7872,
+    3560,24256, 3568,16064, 3576,32448, 3592,16832, 3600,8640, 3608,25024,
+    3616,4544, 3624,20928, 3632,12736, 3640,29120, 3656,18880, 3664,10688,
+    3672,27072, 3680,6592, 3688,22976, 3696,14784, 3704,31168, 3720,17856,
+    3728,9664, 3736,26048, 3744,5568, 3752,21952, 3760,13760, 3768,30144,
+    3784,19904, 3792,11712, 3800,28096, 3808,7616, 3816,24000, 3824,15808,
+    3832,32192, 3848,17344, 3856,9152, 3864,25536, 3872,5056, 3880,21440,
+    3888,13248, 3896,29632, 3912,19392, 3920,11200, 3928,27584, 3936,7104,
+    3944,23488, 3952,15296, 3960,31680, 3976,18368, 3984,10176, 3992,26560,
+    4000,6080, 4008,22464, 4016,14272, 4024,30656, 4040,20416, 4048,12224,
+    4056,28608, 4064,8128, 4072,24512, 4080,16320, 4088,32704, 4104,16416,
+    4112,8224, 4120,24608, 4136,20512, 4144,12320, 4152,28704, 4168,18464,
+    4176,10272, 4184,26656, 4192,6176, 4200,22560, 4208,14368, 4216,30752,
+    4232,17440, 4240,9248, 4248,25632, 4256,5152, 4264,21536, 4272,13344,
+    4280,29728, 4296,19488, 4304,11296, 4312,27680, 4320,7200, 4328,23584,
+    4336,15392, 4344,31776, 4360,16928, 4368,8736, 4376,25120, 4384,4640,
+    4392,21024, 4400,12832, 4408,29216, 4424,18976, 4432,10784, 4440,27168,
+    4448,6688, 4456,23072, 4464,14880, 4472,31264, 4488,17952, 4496,9760,
+    4504,26144, 4512,5664, 4520,22048, 4528,13856, 4536,30240, 4552,20000,
+    4560,11808, 4568,28192, 4576,7712, 4584,24096, 4592,15904, 4600,32288,
+    4616,16672, 4624,8480, 4632,24864, 4648,20768, 4656,12576, 4664,28960,
+    4680,18720, 4688,10528, 4696,26912, 4704,6432, 4712,22816, 4720,14624,
+    4728,31008, 4744,17696, 4752,9504, 4760,25888, 4768,5408, 4776,21792,
+    4784,13600, 4792,29984, 4808,19744, 4816,11552, 4824,27936, 4832,7456,
+    4840,23840, 4848,15648, 4856,32032, 4872,17184, 4880,8992, 4888,25376,
+    4904,21280, 4912,13088, 4920,29472, 4936,19232, 4944,11040, 4952,27424,
+    4960,6944, 4968,23328, 4976,15136, 4984,31520, 5000,18208, 5008,10016,
+    5016,26400, 5024,5920, 5032,22304, 5040,14112, 5048,30496, 5064,20256,
+    5072,12064, 5080,28448, 5088,7968, 5096,24352, 5104,16160, 5112,32544,
+    5128,16544, 5136,8352, 5144,24736, 5160,20640, 5168,12448, 5176,28832,
+    5192,18592, 5200,10400, 5208,26784, 5216,6304, 5224,22688, 5232,14496,
+    5240,30880, 5256,17568, 5264,9376, 5272,25760, 5288,21664, 5296,13472,
+    5304,29856, 5320,19616, 5328,11424, 5336,27808, 5344,7328, 5352,23712,
+    5360,15520, 5368,31904, 5384,17056, 5392,8864, 5400,25248, 5416,21152,
+    5424,12960, 5432,29344, 5448,19104, 5456,10912, 5464,27296, 5472,6816,
+    5480,23200, 5488,15008, 5496,31392, 5512,18080, 5520,9888, 5528,26272,
+    5536,5792, 5544,22176, 5552,13984, 5560,30368, 5576,20128, 5584,11936,
+    5592,28320, 5600,7840, 5608,24224, 5616,16032, 5624,32416, 5640,16800,
+    5648,8608, 5656,24992, 5672,20896, 5680,12704, 5688,29088, 5704,18848,
+    5712,10656, 5720,27040, 5728,6560, 5736,22944, 5744,14752, 5752,31136,
+    5768,17824, 5776,9632, 5784,26016, 5800,21920, 5808,13728, 5816,30112,
+    5832,19872, 5840,11680, 5848,28064, 5856,7584, 5864,23968, 5872,15776,
+    5880,32160, 5896,17312, 5904,9120, 5912,25504, 5928,21408, 5936,13216,
+    5944,29600, 5960,19360, 5968,11168, 5976,27552, 5984,7072, 5992,23456,
+    6000,15264, 6008,31648, 6024,18336, 6032,10144, 6040,26528, 6056,22432,
+    6064,14240, 6072,30624, 6088,20384, 6096,12192, 6104,28576, 6112,8096,
+    6120,24480, 6128,16288, 6136,32672, 6152,16480, 6160,8288, 6168,24672,
+    6184,20576, 6192,12384, 6200,28768, 6216,18528, 6224,10336, 6232,26720,
+    6248,22624, 6256,14432, 6264,30816, 6280,17504, 6288,9312, 6296,25696,
+    6312,21600, 6320,13408, 6328,29792, 6344,19552, 6352,11360, 6360,27744,
+    6368,7264, 6376,23648, 6384,15456, 6392,31840, 6408,16992, 6416,8800,
+    6424,25184, 6440,21088, 6448,12896, 6456,29280, 6472,19040, 6480,10848,
+    6488,27232, 6496,6752, 6504,23136, 6512,14944, 6520,31328, 6536,18016,
+    6544,9824, 6552,26208, 6568,22112, 6576,13920, 6584,30304, 6600,20064,
+    6608,11872, 6616,28256, 6624,7776, 6632,24160, 6640,15968, 6648,32352,
+    6664,16736, 6672,8544, 6680,24928, 6696,20832, 6704,12640, 6712,29024,
+    6728,18784, 6736,10592, 6744,26976, 6760,22880, 6768,14688, 6776,31072,
+    6792,17760, 6800,9568, 6808,25952, 6824,21856, 6832,13664, 6840,30048,
+    6856,19808, 6864,11616, 6872,28000, 6880,7520, 6888,23904, 6896,15712,
+    6904,32096, 6920,17248, 6928,9056, 6936,25440, 6952,21344, 6960,13152,
+    6968,29536, 6984,19296, 6992,11104, 7000,27488, 7016,23392, 7024,15200,
+    7032,31584, 7048,18272, 7056,10080, 7064,26464, 7080,22368, 7088,14176,
+    7096,30560, 7112,20320, 7120,12128, 7128,28512, 7136,8032, 7144,24416,
+    7152,16224, 7160,32608, 7176,16608, 7184,8416, 7192,24800, 7208,20704,
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+    29304,31032, 29368,30008, 29432,32056, 29560,31544, 29624,30520, 29688,32568,
+    29816,30904, 29944,31928, 30072,31416, 30136,30392, 30200,32440, 30328,31160,
+    30456,32184, 30584,31672, 30712,32696, 30968,31864, 31096,31352, 31224,32376,
+    31480,32120, 31736,32632, 32248,32504
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
 
 #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_16)
 
@@ -17833,6 +26872,4141 @@
 };
 #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
 
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_32)
+/**
+  @par
+  Example code for Double Precision Floating-point RFFT Twiddle factors Generation:
+  @par
+  <pre>TW = exp(pi/2*i-2*pi*i*[0:L/2-1]/L).' </pre>
+  @par
+  Real and Imag values are in interleaved fashion
+*/
+const uint64_t twiddleCoefF64_rfft_32[32] = {
+    0x0000000000000000,     0x3ff0000000000000,     //      0,       1
+    0x3fc8f8b83c69a60a,     0x3fef6297cff75cb0,     //0.19509, 0.98079
+    0x3fd87de2a6aea963,     0x3fed906bcf328d46,     //0.38268, 0.92388
+    0x3fe1c73b39ae68c8,     0x3fea9b66290ea1a3,     //0.55557, 0.83147
+    0x3fe6a09e667f3bcc,     0x3fe6a09e667f3bcc,     //0.70711, 0.70711
+    0x3fea9b66290ea1a3,     0x3fe1c73b39ae68c8,     //0.83147, 0.55557
+    0x3fed906bcf328d46,     0x3fd87de2a6aea963,     //0.92388, 0.38268
+    0x3fef6297cff75cb0,     0x3fc8f8b83c69a60a,     //0.98079, 0.19509
+    0x3ff0000000000000,     0x0000000000000000,     //      1,       0
+    0x3fef6297cff75cb0,     0xbfc8f8b83c69a60a,     //0.98079,-0.19509
+    0x3fed906bcf328d46,     0xbfd87de2a6aea963,     //0.92388,-0.38268
+    0x3fea9b66290ea1a3,     0xbfe1c73b39ae68c8,     //0.83147,-0.55557
+    0x3fe6a09e667f3bcc,     0xbfe6a09e667f3bcc,     //0.70711,-0.70711
+    0x3fe1c73b39ae68c8,     0xbfea9b66290ea1a3,     //0.55557,-0.83147
+    0x3fd87de2a6aea963,     0xbfed906bcf328d46,     //0.38268,-0.92388
+    0x3fc8f8b83c69a60a,     0xbfef6297cff75cb0,     //0.19509,-0.98079
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_64)
+const uint64_t twiddleCoefF64_rfft_64[64] = {
+    0x0000000000000000,     0x3ff0000000000000,     //       0,        1'
+    0x3fb917a6bc29b42c,     0x3fefd88da3d12526,     //0.098017,  0.99518'
+    0x3fc8f8b83c69a60a,     0x3fef6297cff75cb0,     // 0.19509,  0.98079'
+    0x3fd294062ed59f05,     0x3fee9f4156c62dda,     // 0.29028,  0.95694'
+    0x3fd87de2a6aea963,     0x3fed906bcf328d46,     // 0.38268,  0.92388'
+    0x3fde2b5d3806f63b,     0x3fec38b2f180bdb1,     //  0.4714,  0.88192'
+    0x3fe1c73b39ae68c8,     0x3fea9b66290ea1a3,     // 0.55557,  0.83147'
+    0x3fe44cf325091dd6,     0x3fe8bc806b151741,     // 0.63439,  0.77301'
+    0x3fe6a09e667f3bcc,     0x3fe6a09e667f3bcc,     // 0.70711,  0.70711'
+    0x3fe8bc806b151741,     0x3fe44cf325091dd6,     // 0.77301,  0.63439'
+    0x3fea9b66290ea1a3,     0x3fe1c73b39ae68c8,     // 0.83147,  0.55557'
+    0x3fec38b2f180bdb1,     0x3fde2b5d3806f63b,     // 0.88192,   0.4714'
+    0x3fed906bcf328d46,     0x3fd87de2a6aea963,     // 0.92388,  0.38268'
+    0x3fee9f4156c62dda,     0x3fd294062ed59f05,     // 0.95694,  0.29028'
+    0x3fef6297cff75cb0,     0x3fc8f8b83c69a60a,     // 0.98079,  0.19509'
+    0x3fefd88da3d12526,     0x3fb917a6bc29b42c,     // 0.99518, 0.098017'
+    0x3ff0000000000000,     0x0000000000000000,     //       1,        0'
+    0x3fefd88da3d12526,     0xbfb917a6bc29b42c,     // 0.99518,-0.098017'
+    0x3fef6297cff75cb0,     0xbfc8f8b83c69a60a,     // 0.98079, -0.19509'
+    0x3fee9f4156c62dda,     0xbfd294062ed59f05,     // 0.95694, -0.29028'
+    0x3fed906bcf328d46,     0xbfd87de2a6aea963,     // 0.92388, -0.38268'
+    0x3fec38b2f180bdb1,     0xbfde2b5d3806f63b,     // 0.88192,  -0.4714'
+    0x3fea9b66290ea1a3,     0xbfe1c73b39ae68c8,     // 0.83147, -0.55557'
+    0x3fe8bc806b151741,     0xbfe44cf325091dd6,     // 0.77301, -0.63439'
+    0x3fe6a09e667f3bcc,     0xbfe6a09e667f3bcc,     // 0.70711, -0.70711'
+    0x3fe44cf325091dd6,     0xbfe8bc806b151741,     // 0.63439, -0.77301'
+    0x3fe1c73b39ae68c8,     0xbfea9b66290ea1a3,     // 0.55557, -0.83147'
+    0x3fde2b5d3806f63b,     0xbfec38b2f180bdb1,     //  0.4714, -0.88192'
+    0x3fd87de2a6aea963,     0xbfed906bcf328d46,     // 0.38268, -0.92388'
+    0x3fd294062ed59f05,     0xbfee9f4156c62dda,     // 0.29028, -0.95694'
+    0x3fc8f8b83c69a60a,     0xbfef6297cff75cb0,     // 0.19509, -0.98079'
+    0x3fb917a6bc29b42c,     0xbfefd88da3d12526,     //0.098017, -0.99518'
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_128)
+const uint64_t twiddleCoefF64_rfft_128[128] = {
+    0x0000000000000000,     0x3ff0000000000000,     //       0,        1'
+    0x3fa91f65f10dd814,     0x3feff621e3796d7e,     //0.049068,   0.9988'
+    0x3fb917a6bc29b42c,     0x3fefd88da3d12526,     //0.098017,  0.99518'
+    0x3fc2c8106e8e613a,     0x3fefa7557f08a517,     // 0.14673,  0.98918'
+    0x3fc8f8b83c69a60a,     0x3fef6297cff75cb0,     // 0.19509,  0.98079'
+    0x3fcf19f97b215f1a,     0x3fef0a7efb9230d7,     // 0.24298,  0.97003'
+    0x3fd294062ed59f05,     0x3fee9f4156c62dda,     // 0.29028,  0.95694'
+    0x3fd58f9a75ab1fdd,     0x3fee212104f686e5,     // 0.33689,  0.94154'
+    0x3fd87de2a6aea963,     0x3fed906bcf328d46,     // 0.38268,  0.92388'
+    0x3fdb5d1009e15cc0,     0x3feced7af43cc773,     // 0.42756,  0.90399'
+    0x3fde2b5d3806f63b,     0x3fec38b2f180bdb1,     //  0.4714,  0.88192'
+    0x3fe073879922ffed,     0x3feb728345196e3e,     //  0.5141,  0.85773'
+    0x3fe1c73b39ae68c8,     0x3fea9b66290ea1a3,     // 0.55557,  0.83147'
+    0x3fe30ff7fce17035,     0x3fe9b3e047f38741,     //  0.5957,  0.80321'
+    0x3fe44cf325091dd6,     0x3fe8bc806b151741,     // 0.63439,  0.77301'
+    0x3fe57d69348cec9f,     0x3fe7b5df226aafb0,     // 0.67156,  0.74095'
+    0x3fe6a09e667f3bcc,     0x3fe6a09e667f3bcc,     // 0.70711,  0.70711'
+    0x3fe7b5df226aafb0,     0x3fe57d69348cec9f,     // 0.74095,  0.67156'
+    0x3fe8bc806b151741,     0x3fe44cf325091dd6,     // 0.77301,  0.63439'
+    0x3fe9b3e047f38741,     0x3fe30ff7fce17035,     // 0.80321,   0.5957'
+    0x3fea9b66290ea1a3,     0x3fe1c73b39ae68c8,     // 0.83147,  0.55557'
+    0x3feb728345196e3e,     0x3fe073879922ffed,     // 0.85773,   0.5141'
+    0x3fec38b2f180bdb1,     0x3fde2b5d3806f63b,     // 0.88192,   0.4714'
+    0x3feced7af43cc773,     0x3fdb5d1009e15cc0,     // 0.90399,  0.42756'
+    0x3fed906bcf328d46,     0x3fd87de2a6aea963,     // 0.92388,  0.38268'
+    0x3fee212104f686e5,     0x3fd58f9a75ab1fdd,     // 0.94154,  0.33689'
+    0x3fee9f4156c62dda,     0x3fd294062ed59f05,     // 0.95694,  0.29028'
+    0x3fef0a7efb9230d7,     0x3fcf19f97b215f1a,     // 0.97003,  0.24298'
+    0x3fef6297cff75cb0,     0x3fc8f8b83c69a60a,     // 0.98079,  0.19509'
+    0x3fefa7557f08a517,     0x3fc2c8106e8e613a,     // 0.98918,  0.14673'
+    0x3fefd88da3d12526,     0x3fb917a6bc29b42c,     // 0.99518, 0.098017'
+    0x3feff621e3796d7e,     0x3fa91f65f10dd814,     //  0.9988, 0.049068'
+    0x3ff0000000000000,     0x0000000000000000,     //       1,        0'
+    0x3feff621e3796d7e,     0xbfa91f65f10dd814,     //  0.9988,-0.049068'
+    0x3fefd88da3d12526,     0xbfb917a6bc29b42c,     // 0.99518,-0.098017'
+    0x3fefa7557f08a517,     0xbfc2c8106e8e613a,     // 0.98918, -0.14673'
+    0x3fef6297cff75cb0,     0xbfc8f8b83c69a60a,     // 0.98079, -0.19509'
+    0x3fef0a7efb9230d7,     0xbfcf19f97b215f1a,     // 0.97003, -0.24298'
+    0x3fee9f4156c62dda,     0xbfd294062ed59f05,     // 0.95694, -0.29028'
+    0x3fee212104f686e5,     0xbfd58f9a75ab1fdd,     // 0.94154, -0.33689'
+    0x3fed906bcf328d46,     0xbfd87de2a6aea963,     // 0.92388, -0.38268'
+    0x3feced7af43cc773,     0xbfdb5d1009e15cc0,     // 0.90399, -0.42756'
+    0x3fec38b2f180bdb1,     0xbfde2b5d3806f63b,     // 0.88192,  -0.4714'
+    0x3feb728345196e3e,     0xbfe073879922ffed,     // 0.85773,  -0.5141'
+    0x3fea9b66290ea1a3,     0xbfe1c73b39ae68c8,     // 0.83147, -0.55557'
+    0x3fe9b3e047f38741,     0xbfe30ff7fce17035,     // 0.80321,  -0.5957'
+    0x3fe8bc806b151741,     0xbfe44cf325091dd6,     // 0.77301, -0.63439'
+    0x3fe7b5df226aafb0,     0xbfe57d69348cec9f,     // 0.74095, -0.67156'
+    0x3fe6a09e667f3bcc,     0xbfe6a09e667f3bcc,     // 0.70711, -0.70711'
+    0x3fe57d69348cec9f,     0xbfe7b5df226aafb0,     // 0.67156, -0.74095'
+    0x3fe44cf325091dd6,     0xbfe8bc806b151741,     // 0.63439, -0.77301'
+    0x3fe30ff7fce17035,     0xbfe9b3e047f38741,     //  0.5957, -0.80321'
+    0x3fe1c73b39ae68c8,     0xbfea9b66290ea1a3,     // 0.55557, -0.83147'
+    0x3fe073879922ffed,     0xbfeb728345196e3e,     //  0.5141, -0.85773'
+    0x3fde2b5d3806f63b,     0xbfec38b2f180bdb1,     //  0.4714, -0.88192'
+    0x3fdb5d1009e15cc0,     0xbfeced7af43cc773,     // 0.42756, -0.90399'
+    0x3fd87de2a6aea963,     0xbfed906bcf328d46,     // 0.38268, -0.92388'
+    0x3fd58f9a75ab1fdd,     0xbfee212104f686e5,     // 0.33689, -0.94154'
+    0x3fd294062ed59f05,     0xbfee9f4156c62dda,     // 0.29028, -0.95694'
+    0x3fcf19f97b215f1a,     0xbfef0a7efb9230d7,     // 0.24298, -0.97003'
+    0x3fc8f8b83c69a60a,     0xbfef6297cff75cb0,     // 0.19509, -0.98079'
+    0x3fc2c8106e8e613a,     0xbfefa7557f08a517,     // 0.14673, -0.98918'
+    0x3fb917a6bc29b42c,     0xbfefd88da3d12526,     //0.098017, -0.99518'
+    0x3fa91f65f10dd814,     0xbfeff621e3796d7e,     //0.049068,  -0.9988'
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_256)
+const uint64_t twiddleCoefF64_rfft_256[256] = {
+    0x0000000000000000,     0x3ff0000000000000,     //       0,        1
+    0x3f992155f7a3667e,     0x3feffd886084cd0d,     //0.024541,   0.9997
+    0x3fa91f65f10dd814,     0x3feff621e3796d7e,     //0.049068,   0.9988
+    0x3fb2d52092ce19f6,     0x3fefe9cdad01883a,     //0.073565,  0.99729
+    0x3fb917a6bc29b42c,     0x3fefd88da3d12526,     //0.098017,  0.99518
+    0x3fbf564e56a9730e,     0x3fefc26470e19fd3,     // 0.12241,  0.99248
+    0x3fc2c8106e8e613a,     0x3fefa7557f08a517,     // 0.14673,  0.98918
+    0x3fc5e214448b3fc6,     0x3fef8764fa714ba9,     // 0.17096,  0.98528
+    0x3fc8f8b83c69a60a,     0x3fef6297cff75cb0,     // 0.19509,  0.98079
+    0x3fcc0b826a7e4f63,     0x3fef38f3ac64e589,     //  0.2191,   0.9757
+    0x3fcf19f97b215f1a,     0x3fef0a7efb9230d7,     // 0.24298,  0.97003
+    0x3fd111d262b1f677,     0x3feed740e7684963,     // 0.26671,  0.96378
+    0x3fd294062ed59f05,     0x3fee9f4156c62dda,     // 0.29028,  0.95694
+    0x3fd4135c94176602,     0x3fee6288ec48e112,     // 0.31368,  0.94953
+    0x3fd58f9a75ab1fdd,     0x3fee212104f686e5,     // 0.33689,  0.94154
+    0x3fd7088530fa459e,     0x3feddb13b6ccc23d,     //  0.3599,  0.93299
+    0x3fd87de2a6aea963,     0x3fed906bcf328d46,     // 0.38268,  0.92388
+    0x3fd9ef7943a8ed8a,     0x3fed4134d14dc93a,     // 0.40524,  0.91421
+    0x3fdb5d1009e15cc0,     0x3feced7af43cc773,     // 0.42756,  0.90399
+    0x3fdcc66e9931c45d,     0x3fec954b213411f5,     // 0.44961,  0.89322
+    0x3fde2b5d3806f63b,     0x3fec38b2f180bdb1,     //  0.4714,  0.88192
+    0x3fdf8ba4dbf89aba,     0x3febd7c0ac6f952a,     //  0.4929,  0.87009
+    0x3fe073879922ffed,     0x3feb728345196e3e,     //  0.5141,  0.85773
+    0x3fe11eb3541b4b22,     0x3feb090a58150200,     //   0.535,  0.84485
+    0x3fe1c73b39ae68c8,     0x3fea9b66290ea1a3,     // 0.55557,  0.83147
+    0x3fe26d054cdd12df,     0x3fea29a7a0462782,     // 0.57581,  0.81758
+    0x3fe30ff7fce17035,     0x3fe9b3e047f38741,     //  0.5957,  0.80321
+    0x3fe3affa292050b9,     0x3fe93a22499263fc,     // 0.61523,  0.78835
+    0x3fe44cf325091dd6,     0x3fe8bc806b151741,     // 0.63439,  0.77301
+    0x3fe4e6cabbe3e5e9,     0x3fe83b0e0bff976e,     // 0.65317,  0.75721
+    0x3fe57d69348cec9f,     0x3fe7b5df226aafb0,     // 0.67156,  0.74095
+    0x3fe610b7551d2cde,     0x3fe72d0837efff97,     // 0.68954,  0.72425
+    0x3fe6a09e667f3bcc,     0x3fe6a09e667f3bcc,     // 0.70711,  0.70711
+    0x3fe72d0837efff97,     0x3fe610b7551d2cde,     // 0.72425,  0.68954
+    0x3fe7b5df226aafb0,     0x3fe57d69348cec9f,     // 0.74095,  0.67156
+    0x3fe83b0e0bff976e,     0x3fe4e6cabbe3e5e9,     // 0.75721,  0.65317
+    0x3fe8bc806b151741,     0x3fe44cf325091dd6,     // 0.77301,  0.63439
+    0x3fe93a22499263fc,     0x3fe3affa292050b9,     // 0.78835,  0.61523
+    0x3fe9b3e047f38741,     0x3fe30ff7fce17035,     // 0.80321,   0.5957
+    0x3fea29a7a0462782,     0x3fe26d054cdd12df,     // 0.81758,  0.57581
+    0x3fea9b66290ea1a3,     0x3fe1c73b39ae68c8,     // 0.83147,  0.55557
+    0x3feb090a58150200,     0x3fe11eb3541b4b22,     // 0.84485,    0.535
+    0x3feb728345196e3e,     0x3fe073879922ffed,     // 0.85773,   0.5141
+    0x3febd7c0ac6f952a,     0x3fdf8ba4dbf89aba,     // 0.87009,   0.4929
+    0x3fec38b2f180bdb1,     0x3fde2b5d3806f63b,     // 0.88192,   0.4714
+    0x3fec954b213411f5,     0x3fdcc66e9931c45d,     // 0.89322,  0.44961
+    0x3feced7af43cc773,     0x3fdb5d1009e15cc0,     // 0.90399,  0.42756
+    0x3fed4134d14dc93a,     0x3fd9ef7943a8ed8a,     // 0.91421,  0.40524
+    0x3fed906bcf328d46,     0x3fd87de2a6aea963,     // 0.92388,  0.38268
+    0x3feddb13b6ccc23d,     0x3fd7088530fa459e,     // 0.93299,   0.3599
+    0x3fee212104f686e5,     0x3fd58f9a75ab1fdd,     // 0.94154,  0.33689
+    0x3fee6288ec48e112,     0x3fd4135c94176602,     // 0.94953,  0.31368
+    0x3fee9f4156c62dda,     0x3fd294062ed59f05,     // 0.95694,  0.29028
+    0x3feed740e7684963,     0x3fd111d262b1f677,     // 0.96378,  0.26671
+    0x3fef0a7efb9230d7,     0x3fcf19f97b215f1a,     // 0.97003,  0.24298
+    0x3fef38f3ac64e589,     0x3fcc0b826a7e4f63,     //  0.9757,   0.2191
+    0x3fef6297cff75cb0,     0x3fc8f8b83c69a60a,     // 0.98079,  0.19509
+    0x3fef8764fa714ba9,     0x3fc5e214448b3fc6,     // 0.98528,  0.17096
+    0x3fefa7557f08a517,     0x3fc2c8106e8e613a,     // 0.98918,  0.14673
+    0x3fefc26470e19fd3,     0x3fbf564e56a9730e,     // 0.99248,  0.12241
+    0x3fefd88da3d12526,     0x3fb917a6bc29b42c,     // 0.99518, 0.098017
+    0x3fefe9cdad01883a,     0x3fb2d52092ce19f6,     // 0.99729, 0.073565
+    0x3feff621e3796d7e,     0x3fa91f65f10dd814,     //  0.9988, 0.049068
+    0x3feffd886084cd0d,     0x3f992155f7a3667e,     //  0.9997, 0.024541
+    0x3ff0000000000000,     0x0000000000000000,     //       1,        0
+    0x3feffd886084cd0d,     0xbf992155f7a3667e,     //  0.9997,-0.024541
+    0x3feff621e3796d7e,     0xbfa91f65f10dd814,     //  0.9988,-0.049068
+    0x3fefe9cdad01883a,     0xbfb2d52092ce19f6,     // 0.99729,-0.073565
+    0x3fefd88da3d12526,     0xbfb917a6bc29b42c,     // 0.99518,-0.098017
+    0x3fefc26470e19fd3,     0xbfbf564e56a9730e,     // 0.99248, -0.12241
+    0x3fefa7557f08a517,     0xbfc2c8106e8e613a,     // 0.98918, -0.14673
+    0x3fef8764fa714ba9,     0xbfc5e214448b3fc6,     // 0.98528, -0.17096
+    0x3fef6297cff75cb0,     0xbfc8f8b83c69a60a,     // 0.98079, -0.19509
+    0x3fef38f3ac64e589,     0xbfcc0b826a7e4f63,     //  0.9757,  -0.2191
+    0x3fef0a7efb9230d7,     0xbfcf19f97b215f1a,     // 0.97003, -0.24298
+    0x3feed740e7684963,     0xbfd111d262b1f677,     // 0.96378, -0.26671
+    0x3fee9f4156c62dda,     0xbfd294062ed59f05,     // 0.95694, -0.29028
+    0x3fee6288ec48e112,     0xbfd4135c94176602,     // 0.94953, -0.31368
+    0x3fee212104f686e5,     0xbfd58f9a75ab1fdd,     // 0.94154, -0.33689
+    0x3feddb13b6ccc23d,     0xbfd7088530fa459e,     // 0.93299,  -0.3599
+    0x3fed906bcf328d46,     0xbfd87de2a6aea963,     // 0.92388, -0.38268
+    0x3fed4134d14dc93a,     0xbfd9ef7943a8ed8a,     // 0.91421, -0.40524
+    0x3feced7af43cc773,     0xbfdb5d1009e15cc0,     // 0.90399, -0.42756
+    0x3fec954b213411f5,     0xbfdcc66e9931c45d,     // 0.89322, -0.44961
+    0x3fec38b2f180bdb1,     0xbfde2b5d3806f63b,     // 0.88192,  -0.4714
+    0x3febd7c0ac6f952a,     0xbfdf8ba4dbf89aba,     // 0.87009,  -0.4929
+    0x3feb728345196e3e,     0xbfe073879922ffed,     // 0.85773,  -0.5141
+    0x3feb090a58150200,     0xbfe11eb3541b4b22,     // 0.84485,   -0.535
+    0x3fea9b66290ea1a3,     0xbfe1c73b39ae68c8,     // 0.83147, -0.55557
+    0x3fea29a7a0462782,     0xbfe26d054cdd12df,     // 0.81758, -0.57581
+    0x3fe9b3e047f38741,     0xbfe30ff7fce17035,     // 0.80321,  -0.5957
+    0x3fe93a22499263fc,     0xbfe3affa292050b9,     // 0.78835, -0.61523
+    0x3fe8bc806b151741,     0xbfe44cf325091dd6,     // 0.77301, -0.63439
+    0x3fe83b0e0bff976e,     0xbfe4e6cabbe3e5e9,     // 0.75721, -0.65317
+    0x3fe7b5df226aafb0,     0xbfe57d69348cec9f,     // 0.74095, -0.67156
+    0x3fe72d0837efff97,     0xbfe610b7551d2cde,     // 0.72425, -0.68954
+    0x3fe6a09e667f3bcc,     0xbfe6a09e667f3bcc,     // 0.70711, -0.70711
+    0x3fe610b7551d2cde,     0xbfe72d0837efff97,     // 0.68954, -0.72425
+    0x3fe57d69348cec9f,     0xbfe7b5df226aafb0,     // 0.67156, -0.74095
+    0x3fe4e6cabbe3e5e9,     0xbfe83b0e0bff976e,     // 0.65317, -0.75721
+    0x3fe44cf325091dd6,     0xbfe8bc806b151741,     // 0.63439, -0.77301
+    0x3fe3affa292050b9,     0xbfe93a22499263fc,     // 0.61523, -0.78835
+    0x3fe30ff7fce17035,     0xbfe9b3e047f38741,     //  0.5957, -0.80321
+    0x3fe26d054cdd12df,     0xbfea29a7a0462782,     // 0.57581, -0.81758
+    0x3fe1c73b39ae68c8,     0xbfea9b66290ea1a3,     // 0.55557, -0.83147
+    0x3fe11eb3541b4b22,     0xbfeb090a58150200,     //   0.535, -0.84485
+    0x3fe073879922ffed,     0xbfeb728345196e3e,     //  0.5141, -0.85773
+    0x3fdf8ba4dbf89aba,     0xbfebd7c0ac6f952a,     //  0.4929, -0.87009
+    0x3fde2b5d3806f63b,     0xbfec38b2f180bdb1,     //  0.4714, -0.88192
+    0x3fdcc66e9931c45d,     0xbfec954b213411f5,     // 0.44961, -0.89322
+    0x3fdb5d1009e15cc0,     0xbfeced7af43cc773,     // 0.42756, -0.90399
+    0x3fd9ef7943a8ed8a,     0xbfed4134d14dc93a,     // 0.40524, -0.91421
+    0x3fd87de2a6aea963,     0xbfed906bcf328d46,     // 0.38268, -0.92388
+    0x3fd7088530fa459e,     0xbfeddb13b6ccc23d,     //  0.3599, -0.93299
+    0x3fd58f9a75ab1fdd,     0xbfee212104f686e5,     // 0.33689, -0.94154
+    0x3fd4135c94176602,     0xbfee6288ec48e112,     // 0.31368, -0.94953
+    0x3fd294062ed59f05,     0xbfee9f4156c62dda,     // 0.29028, -0.95694
+    0x3fd111d262b1f677,     0xbfeed740e7684963,     // 0.26671, -0.96378
+    0x3fcf19f97b215f1a,     0xbfef0a7efb9230d7,     // 0.24298, -0.97003
+    0x3fcc0b826a7e4f63,     0xbfef38f3ac64e589,     //  0.2191,  -0.9757
+    0x3fc8f8b83c69a60a,     0xbfef6297cff75cb0,     // 0.19509, -0.98079
+    0x3fc5e214448b3fc6,     0xbfef8764fa714ba9,     // 0.17096, -0.98528
+    0x3fc2c8106e8e613a,     0xbfefa7557f08a517,     // 0.14673, -0.98918
+    0x3fbf564e56a9730e,     0xbfefc26470e19fd3,     // 0.12241, -0.99248
+    0x3fb917a6bc29b42c,     0xbfefd88da3d12526,     //0.098017, -0.99518
+    0x3fb2d52092ce19f6,     0xbfefe9cdad01883a,     //0.073565, -0.99729
+    0x3fa91f65f10dd814,     0xbfeff621e3796d7e,     //0.049068,  -0.9988'
+    0x3f992155f7a3667e,     0xbfeffd886084cd0d,     //0.024541,  -0.9997
+        
+            
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_512)
+const uint64_t twiddleCoefF64_rfft_512[512] = {
+    0x0000000000000000,     0x3ff0000000000000,     //       0,        1'
+    0x3f8921d1fcdec784,     0x3fefff62169b92db,     //0.012272,  0.99992'
+    0x3f992155f7a3667e,     0x3feffd886084cd0d,     //0.024541,   0.9997'
+    0x3fa2d865759455cd,     0x3feffa72effef75d,     //0.036807,  0.99932'
+    0x3fa91f65f10dd814,     0x3feff621e3796d7e,     //0.049068,   0.9988'
+    0x3faf656e79f820e0,     0x3feff095658e71ad,     //0.061321,  0.99812'
+    0x3fb2d52092ce19f6,     0x3fefe9cdad01883a,     //0.073565,  0.99729'
+    0x3fb5f6d00a9aa419,     0x3fefe1cafcbd5b09,     //0.085797,  0.99631'
+    0x3fb917a6bc29b42c,     0x3fefd88da3d12526,     //0.098017,  0.99518'
+    0x3fbc3785c79ec2d5,     0x3fefce15fd6da67b,     // 0.11022,  0.99391'
+    0x3fbf564e56a9730e,     0x3fefc26470e19fd3,     // 0.12241,  0.99248'
+    0x3fc139f0cedaf576,     0x3fefb5797195d741,     // 0.13458,   0.9909'
+    0x3fc2c8106e8e613a,     0x3fefa7557f08a517,     // 0.14673,  0.98918'
+    0x3fc45576b1293e5a,     0x3fef97f924c9099b,     // 0.15886,   0.9873'
+    0x3fc5e214448b3fc6,     0x3fef8764fa714ba9,     // 0.17096,  0.98528'
+    0x3fc76dd9de50bf31,     0x3fef7599a3a12077,     // 0.18304,  0.98311'
+    0x3fc8f8b83c69a60a,     0x3fef6297cff75cb0,     // 0.19509,  0.98079'
+    0x3fca82a025b00451,     0x3fef4e603b0b2f2d,     // 0.20711,  0.97832'
+    0x3fcc0b826a7e4f63,     0x3fef38f3ac64e589,     //  0.2191,   0.9757'
+    0x3fcd934fe5454311,     0x3fef2252f7763ada,     // 0.23106,  0.97294'
+    0x3fcf19f97b215f1a,     0x3fef0a7efb9230d7,     // 0.24298,  0.97003'
+    0x3fd04fb80e37fdae,     0x3feef178a3e473c2,     // 0.25487,  0.96698'
+    0x3fd111d262b1f677,     0x3feed740e7684963,     // 0.26671,  0.96378'
+    0x3fd1d3443f4cdb3d,     0x3feebbd8c8df0b74,     // 0.27852,  0.96043'
+    0x3fd294062ed59f05,     0x3fee9f4156c62dda,     // 0.29028,  0.95694'
+    0x3fd35410c2e18152,     0x3fee817bab4cd10d,     // 0.30201,  0.95331'
+    0x3fd4135c94176602,     0x3fee6288ec48e112,     // 0.31368,  0.94953'
+    0x3fd4d1e24278e76a,     0x3fee426a4b2bc17e,     // 0.32531,  0.94561'
+    0x3fd58f9a75ab1fdd,     0x3fee212104f686e5,     // 0.33689,  0.94154'
+    0x3fd64c7ddd3f27c6,     0x3fedfeae622dbe2b,     // 0.34842,  0.93734'
+    0x3fd7088530fa459e,     0x3feddb13b6ccc23d,     //  0.3599,  0.93299'
+    0x3fd7c3a9311dcce7,     0x3fedb6526238a09b,     // 0.37132,  0.92851'
+    0x3fd87de2a6aea963,     0x3fed906bcf328d46,     // 0.38268,  0.92388'
+    0x3fd9372a63bc93d7,     0x3fed696173c9e68b,     // 0.39399,  0.91911'
+    0x3fd9ef7943a8ed8a,     0x3fed4134d14dc93a,     // 0.40524,  0.91421'
+    0x3fdaa6c82b6d3fc9,     0x3fed17e7743e35dc,     // 0.41643,  0.90917'
+    0x3fdb5d1009e15cc0,     0x3feced7af43cc773,     // 0.42756,  0.90399'
+    0x3fdc1249d8011ee7,     0x3fecc1f0f3fcfc5c,     // 0.43862,  0.89867'
+    0x3fdcc66e9931c45d,     0x3fec954b213411f5,     // 0.44961,  0.89322'
+    0x3fdd79775b86e389,     0x3fec678b3488739b,     // 0.46054,  0.88764'
+    0x3fde2b5d3806f63b,     0x3fec38b2f180bdb1,     //  0.4714,  0.88192'
+    0x3fdedc1952ef78d5,     0x3fec08c426725549,     // 0.48218,  0.87607'
+    0x3fdf8ba4dbf89aba,     0x3febd7c0ac6f952a,     //  0.4929,  0.87009'
+    0x3fe01cfc874c3eb7,     0x3feba5aa673590d2,     // 0.50354,  0.86397'
+    0x3fe073879922ffed,     0x3feb728345196e3e,     //  0.5141,  0.85773'
+    0x3fe0c9704d5d898f,     0x3feb3e4d3ef55712,     // 0.52459,  0.85136'
+    0x3fe11eb3541b4b22,     0x3feb090a58150200,     //   0.535,  0.84485'
+    0x3fe1734d63dedb49,     0x3fead2bc9e21d511,     // 0.54532,  0.83822'
+    0x3fe1c73b39ae68c8,     0x3fea9b66290ea1a3,     // 0.55557,  0.83147'
+    0x3fe21a799933eb58,     0x3fea63091b02fae2,     // 0.56573,  0.82459'
+    0x3fe26d054cdd12df,     0x3fea29a7a0462782,     // 0.57581,  0.81758'
+    0x3fe2bedb25faf3ea,     0x3fe9ef43ef29af94,     //  0.5858,  0.81046'
+    0x3fe30ff7fce17035,     0x3fe9b3e047f38741,     //  0.5957,  0.80321'
+    0x3fe36058b10659f3,     0x3fe9777ef4c7d742,     // 0.60551,  0.79584'
+    0x3fe3affa292050b9,     0x3fe93a22499263fc,     // 0.61523,  0.78835'
+    0x3fe3fed9534556d4,     0x3fe8fbcca3ef940d,     // 0.62486,  0.78074'
+    0x3fe44cf325091dd6,     0x3fe8bc806b151741,     // 0.63439,  0.77301'
+    0x3fe49a449b9b0938,     0x3fe87c400fba2ebf,     // 0.64383,  0.76517'
+    0x3fe4e6cabbe3e5e9,     0x3fe83b0e0bff976e,     // 0.65317,  0.75721'
+    0x3fe5328292a35596,     0x3fe7f8ece3571771,     // 0.66242,  0.74914'
+    0x3fe57d69348cec9f,     0x3fe7b5df226aafb0,     // 0.67156,  0.74095'
+    0x3fe5c77bbe65018c,     0x3fe771e75f037261,     //  0.6806,  0.73265'
+    0x3fe610b7551d2cde,     0x3fe72d0837efff97,     // 0.68954,  0.72425'
+    0x3fe6591925f0783e,     0x3fe6e74454eaa8ae,     // 0.69838,  0.71573'
+    0x3fe6a09e667f3bcc,     0x3fe6a09e667f3bcc,     // 0.70711,  0.70711'
+    0x3fe6e74454eaa8ae,     0x3fe6591925f0783e,     // 0.71573,  0.69838'
+    0x3fe72d0837efff97,     0x3fe610b7551d2cde,     // 0.72425,  0.68954'
+    0x3fe771e75f037261,     0x3fe5c77bbe65018c,     // 0.73265,   0.6806'
+    0x3fe7b5df226aafb0,     0x3fe57d69348cec9f,     // 0.74095,  0.67156'
+    0x3fe7f8ece3571771,     0x3fe5328292a35596,     // 0.74914,  0.66242'
+    0x3fe83b0e0bff976e,     0x3fe4e6cabbe3e5e9,     // 0.75721,  0.65317'
+    0x3fe87c400fba2ebf,     0x3fe49a449b9b0938,     // 0.76517,  0.64383'
+    0x3fe8bc806b151741,     0x3fe44cf325091dd6,     // 0.77301,  0.63439'
+    0x3fe8fbcca3ef940d,     0x3fe3fed9534556d4,     // 0.78074,  0.62486'
+    0x3fe93a22499263fc,     0x3fe3affa292050b9,     // 0.78835,  0.61523'
+    0x3fe9777ef4c7d742,     0x3fe36058b10659f3,     // 0.79584,  0.60551'
+    0x3fe9b3e047f38741,     0x3fe30ff7fce17035,     // 0.80321,   0.5957'
+    0x3fe9ef43ef29af94,     0x3fe2bedb25faf3ea,     // 0.81046,   0.5858'
+    0x3fea29a7a0462782,     0x3fe26d054cdd12df,     // 0.81758,  0.57581'
+    0x3fea63091b02fae2,     0x3fe21a799933eb58,     // 0.82459,  0.56573'
+    0x3fea9b66290ea1a3,     0x3fe1c73b39ae68c8,     // 0.83147,  0.55557'
+    0x3fead2bc9e21d511,     0x3fe1734d63dedb49,     // 0.83822,  0.54532'
+    0x3feb090a58150200,     0x3fe11eb3541b4b22,     // 0.84485,    0.535'
+    0x3feb3e4d3ef55712,     0x3fe0c9704d5d898f,     // 0.85136,  0.52459'
+    0x3feb728345196e3e,     0x3fe073879922ffed,     // 0.85773,   0.5141'
+    0x3feba5aa673590d2,     0x3fe01cfc874c3eb7,     // 0.86397,  0.50354'
+    0x3febd7c0ac6f952a,     0x3fdf8ba4dbf89aba,     // 0.87009,   0.4929'
+    0x3fec08c426725549,     0x3fdedc1952ef78d5,     // 0.87607,  0.48218'
+    0x3fec38b2f180bdb1,     0x3fde2b5d3806f63b,     // 0.88192,   0.4714'
+    0x3fec678b3488739b,     0x3fdd79775b86e389,     // 0.88764,  0.46054'
+    0x3fec954b213411f5,     0x3fdcc66e9931c45d,     // 0.89322,  0.44961'
+    0x3fecc1f0f3fcfc5c,     0x3fdc1249d8011ee7,     // 0.89867,  0.43862'
+    0x3feced7af43cc773,     0x3fdb5d1009e15cc0,     // 0.90399,  0.42756'
+    0x3fed17e7743e35dc,     0x3fdaa6c82b6d3fc9,     // 0.90917,  0.41643'
+    0x3fed4134d14dc93a,     0x3fd9ef7943a8ed8a,     // 0.91421,  0.40524'
+    0x3fed696173c9e68b,     0x3fd9372a63bc93d7,     // 0.91911,  0.39399'
+    0x3fed906bcf328d46,     0x3fd87de2a6aea963,     // 0.92388,  0.38268'
+    0x3fedb6526238a09b,     0x3fd7c3a9311dcce7,     // 0.92851,  0.37132'
+    0x3feddb13b6ccc23d,     0x3fd7088530fa459e,     // 0.93299,   0.3599'
+    0x3fedfeae622dbe2b,     0x3fd64c7ddd3f27c6,     // 0.93734,  0.34842'
+    0x3fee212104f686e5,     0x3fd58f9a75ab1fdd,     // 0.94154,  0.33689'
+    0x3fee426a4b2bc17e,     0x3fd4d1e24278e76a,     // 0.94561,  0.32531'
+    0x3fee6288ec48e112,     0x3fd4135c94176602,     // 0.94953,  0.31368'
+    0x3fee817bab4cd10d,     0x3fd35410c2e18152,     // 0.95331,  0.30201'
+    0x3fee9f4156c62dda,     0x3fd294062ed59f05,     // 0.95694,  0.29028'
+    0x3feebbd8c8df0b74,     0x3fd1d3443f4cdb3d,     // 0.96043,  0.27852'
+    0x3feed740e7684963,     0x3fd111d262b1f677,     // 0.96378,  0.26671'
+    0x3feef178a3e473c2,     0x3fd04fb80e37fdae,     // 0.96698,  0.25487'
+    0x3fef0a7efb9230d7,     0x3fcf19f97b215f1a,     // 0.97003,  0.24298'
+    0x3fef2252f7763ada,     0x3fcd934fe5454311,     // 0.97294,  0.23106'
+    0x3fef38f3ac64e589,     0x3fcc0b826a7e4f63,     //  0.9757,   0.2191'
+    0x3fef4e603b0b2f2d,     0x3fca82a025b00451,     // 0.97832,  0.20711'
+    0x3fef6297cff75cb0,     0x3fc8f8b83c69a60a,     // 0.98079,  0.19509'
+    0x3fef7599a3a12077,     0x3fc76dd9de50bf31,     // 0.98311,  0.18304'
+    0x3fef8764fa714ba9,     0x3fc5e214448b3fc6,     // 0.98528,  0.17096'
+    0x3fef97f924c9099b,     0x3fc45576b1293e5a,     //  0.9873,  0.15886'
+    0x3fefa7557f08a517,     0x3fc2c8106e8e613a,     // 0.98918,  0.14673'
+    0x3fefb5797195d741,     0x3fc139f0cedaf576,     //  0.9909,  0.13458'
+    0x3fefc26470e19fd3,     0x3fbf564e56a9730e,     // 0.99248,  0.12241'
+    0x3fefce15fd6da67b,     0x3fbc3785c79ec2d5,     // 0.99391,  0.11022'
+    0x3fefd88da3d12526,     0x3fb917a6bc29b42c,     // 0.99518, 0.098017'
+    0x3fefe1cafcbd5b09,     0x3fb5f6d00a9aa419,     // 0.99631, 0.085797'
+    0x3fefe9cdad01883a,     0x3fb2d52092ce19f6,     // 0.99729, 0.073565'
+    0x3feff095658e71ad,     0x3faf656e79f820e0,     // 0.99812, 0.061321'
+    0x3feff621e3796d7e,     0x3fa91f65f10dd814,     //  0.9988, 0.049068'
+    0x3feffa72effef75d,     0x3fa2d865759455cd,     // 0.99932, 0.036807'
+    0x3feffd886084cd0d,     0x3f992155f7a3667e,     //  0.9997, 0.024541'
+    0x3fefff62169b92db,     0x3f8921d1fcdec784,     // 0.99992, 0.012272'
+    0x3ff0000000000000,     0x0000000000000000,     //       1,        0'
+    0x3fefff62169b92db,     0xbf8921d1fcdec784,     // 0.99992,-0.012272'
+    0x3feffd886084cd0d,     0xbf992155f7a3667e,     //  0.9997,-0.024541'
+    0x3feffa72effef75d,     0xbfa2d865759455cd,     // 0.99932,-0.036807'
+    0x3feff621e3796d7e,     0xbfa91f65f10dd814,     //  0.9988,-0.049068'
+    0x3feff095658e71ad,     0xbfaf656e79f820e0,     // 0.99812,-0.061321'
+    0x3fefe9cdad01883a,     0xbfb2d52092ce19f6,     // 0.99729,-0.073565'
+    0x3fefe1cafcbd5b09,     0xbfb5f6d00a9aa419,     // 0.99631,-0.085797'
+    0x3fefd88da3d12526,     0xbfb917a6bc29b42c,     // 0.99518,-0.098017'
+    0x3fefce15fd6da67b,     0xbfbc3785c79ec2d5,     // 0.99391, -0.11022'
+    0x3fefc26470e19fd3,     0xbfbf564e56a9730e,     // 0.99248, -0.12241'
+    0x3fefb5797195d741,     0xbfc139f0cedaf576,     //  0.9909, -0.13458'
+    0x3fefa7557f08a517,     0xbfc2c8106e8e613a,     // 0.98918, -0.14673'
+    0x3fef97f924c9099b,     0xbfc45576b1293e5a,     //  0.9873, -0.15886'
+    0x3fef8764fa714ba9,     0xbfc5e214448b3fc6,     // 0.98528, -0.17096'
+    0x3fef7599a3a12077,     0xbfc76dd9de50bf31,     // 0.98311, -0.18304'
+    0x3fef6297cff75cb0,     0xbfc8f8b83c69a60a,     // 0.98079, -0.19509'
+    0x3fef4e603b0b2f2d,     0xbfca82a025b00451,     // 0.97832, -0.20711'
+    0x3fef38f3ac64e589,     0xbfcc0b826a7e4f63,     //  0.9757,  -0.2191'
+    0x3fef2252f7763ada,     0xbfcd934fe5454311,     // 0.97294, -0.23106'
+    0x3fef0a7efb9230d7,     0xbfcf19f97b215f1a,     // 0.97003, -0.24298'
+    0x3feef178a3e473c2,     0xbfd04fb80e37fdae,     // 0.96698, -0.25487'
+    0x3feed740e7684963,     0xbfd111d262b1f677,     // 0.96378, -0.26671'
+    0x3feebbd8c8df0b74,     0xbfd1d3443f4cdb3d,     // 0.96043, -0.27852'
+    0x3fee9f4156c62dda,     0xbfd294062ed59f05,     // 0.95694, -0.29028'
+    0x3fee817bab4cd10d,     0xbfd35410c2e18152,     // 0.95331, -0.30201'
+    0x3fee6288ec48e112,     0xbfd4135c94176602,     // 0.94953, -0.31368'
+    0x3fee426a4b2bc17e,     0xbfd4d1e24278e76a,     // 0.94561, -0.32531'
+    0x3fee212104f686e5,     0xbfd58f9a75ab1fdd,     // 0.94154, -0.33689'
+    0x3fedfeae622dbe2b,     0xbfd64c7ddd3f27c6,     // 0.93734, -0.34842'
+    0x3feddb13b6ccc23d,     0xbfd7088530fa459e,     // 0.93299,  -0.3599'
+    0x3fedb6526238a09b,     0xbfd7c3a9311dcce7,     // 0.92851, -0.37132'
+    0x3fed906bcf328d46,     0xbfd87de2a6aea963,     // 0.92388, -0.38268'
+    0x3fed696173c9e68b,     0xbfd9372a63bc93d7,     // 0.91911, -0.39399'
+    0x3fed4134d14dc93a,     0xbfd9ef7943a8ed8a,     // 0.91421, -0.40524'
+    0x3fed17e7743e35dc,     0xbfdaa6c82b6d3fc9,     // 0.90917, -0.41643'
+    0x3feced7af43cc773,     0xbfdb5d1009e15cc0,     // 0.90399, -0.42756'
+    0x3fecc1f0f3fcfc5c,     0xbfdc1249d8011ee7,     // 0.89867, -0.43862'
+    0x3fec954b213411f5,     0xbfdcc66e9931c45d,     // 0.89322, -0.44961'
+    0x3fec678b3488739b,     0xbfdd79775b86e389,     // 0.88764, -0.46054'
+    0x3fec38b2f180bdb1,     0xbfde2b5d3806f63b,     // 0.88192,  -0.4714'
+    0x3fec08c426725549,     0xbfdedc1952ef78d5,     // 0.87607, -0.48218'
+    0x3febd7c0ac6f952a,     0xbfdf8ba4dbf89aba,     // 0.87009,  -0.4929'
+    0x3feba5aa673590d2,     0xbfe01cfc874c3eb7,     // 0.86397, -0.50354'
+    0x3feb728345196e3e,     0xbfe073879922ffed,     // 0.85773,  -0.5141'
+    0x3feb3e4d3ef55712,     0xbfe0c9704d5d898f,     // 0.85136, -0.52459'
+    0x3feb090a58150200,     0xbfe11eb3541b4b22,     // 0.84485,   -0.535'
+    0x3fead2bc9e21d511,     0xbfe1734d63dedb49,     // 0.83822, -0.54532'
+    0x3fea9b66290ea1a3,     0xbfe1c73b39ae68c8,     // 0.83147, -0.55557'
+    0x3fea63091b02fae2,     0xbfe21a799933eb58,     // 0.82459, -0.56573'
+    0x3fea29a7a0462782,     0xbfe26d054cdd12df,     // 0.81758, -0.57581'
+    0x3fe9ef43ef29af94,     0xbfe2bedb25faf3ea,     // 0.81046,  -0.5858'
+    0x3fe9b3e047f38741,     0xbfe30ff7fce17035,     // 0.80321,  -0.5957'
+    0x3fe9777ef4c7d742,     0xbfe36058b10659f3,     // 0.79584, -0.60551'
+    0x3fe93a22499263fc,     0xbfe3affa292050b9,     // 0.78835, -0.61523'
+    0x3fe8fbcca3ef940d,     0xbfe3fed9534556d4,     // 0.78074, -0.62486'
+    0x3fe8bc806b151741,     0xbfe44cf325091dd6,     // 0.77301, -0.63439'
+    0x3fe87c400fba2ebf,     0xbfe49a449b9b0938,     // 0.76517, -0.64383'
+    0x3fe83b0e0bff976e,     0xbfe4e6cabbe3e5e9,     // 0.75721, -0.65317'
+    0x3fe7f8ece3571771,     0xbfe5328292a35596,     // 0.74914, -0.66242'
+    0x3fe7b5df226aafb0,     0xbfe57d69348cec9f,     // 0.74095, -0.67156'
+    0x3fe771e75f037261,     0xbfe5c77bbe65018c,     // 0.73265,  -0.6806'
+    0x3fe72d0837efff97,     0xbfe610b7551d2cde,     // 0.72425, -0.68954'
+    0x3fe6e74454eaa8ae,     0xbfe6591925f0783e,     // 0.71573, -0.69838'
+    0x3fe6a09e667f3bcc,     0xbfe6a09e667f3bcc,     // 0.70711, -0.70711'
+    0x3fe6591925f0783e,     0xbfe6e74454eaa8ae,     // 0.69838, -0.71573'
+    0x3fe610b7551d2cde,     0xbfe72d0837efff97,     // 0.68954, -0.72425'
+    0x3fe5c77bbe65018c,     0xbfe771e75f037261,     //  0.6806, -0.73265'
+    0x3fe57d69348cec9f,     0xbfe7b5df226aafb0,     // 0.67156, -0.74095'
+    0x3fe5328292a35596,     0xbfe7f8ece3571771,     // 0.66242, -0.74914'
+    0x3fe4e6cabbe3e5e9,     0xbfe83b0e0bff976e,     // 0.65317, -0.75721'
+    0x3fe49a449b9b0938,     0xbfe87c400fba2ebf,     // 0.64383, -0.76517'
+    0x3fe44cf325091dd6,     0xbfe8bc806b151741,     // 0.63439, -0.77301'
+    0x3fe3fed9534556d4,     0xbfe8fbcca3ef940d,     // 0.62486, -0.78074'
+    0x3fe3affa292050b9,     0xbfe93a22499263fc,     // 0.61523, -0.78835'
+    0x3fe36058b10659f3,     0xbfe9777ef4c7d742,     // 0.60551, -0.79584'
+    0x3fe30ff7fce17035,     0xbfe9b3e047f38741,     //  0.5957, -0.80321'
+    0x3fe2bedb25faf3ea,     0xbfe9ef43ef29af94,     //  0.5858, -0.81046'
+    0x3fe26d054cdd12df,     0xbfea29a7a0462782,     // 0.57581, -0.81758'
+    0x3fe21a799933eb58,     0xbfea63091b02fae2,     // 0.56573, -0.82459'
+    0x3fe1c73b39ae68c8,     0xbfea9b66290ea1a3,     // 0.55557, -0.83147'
+    0x3fe1734d63dedb49,     0xbfead2bc9e21d511,     // 0.54532, -0.83822'
+    0x3fe11eb3541b4b22,     0xbfeb090a58150200,     //   0.535, -0.84485'
+    0x3fe0c9704d5d898f,     0xbfeb3e4d3ef55712,     // 0.52459, -0.85136'
+    0x3fe073879922ffed,     0xbfeb728345196e3e,     //  0.5141, -0.85773'
+    0x3fe01cfc874c3eb7,     0xbfeba5aa673590d2,     // 0.50354, -0.86397'
+    0x3fdf8ba4dbf89aba,     0xbfebd7c0ac6f952a,     //  0.4929, -0.87009'
+    0x3fdedc1952ef78d5,     0xbfec08c426725549,     // 0.48218, -0.87607'
+    0x3fde2b5d3806f63b,     0xbfec38b2f180bdb1,     //  0.4714, -0.88192'
+    0x3fdd79775b86e389,     0xbfec678b3488739b,     // 0.46054, -0.88764'
+    0x3fdcc66e9931c45d,     0xbfec954b213411f5,     // 0.44961, -0.89322'
+    0x3fdc1249d8011ee7,     0xbfecc1f0f3fcfc5c,     // 0.43862, -0.89867'
+    0x3fdb5d1009e15cc0,     0xbfeced7af43cc773,     // 0.42756, -0.90399'
+    0x3fdaa6c82b6d3fc9,     0xbfed17e7743e35dc,     // 0.41643, -0.90917'
+    0x3fd9ef7943a8ed8a,     0xbfed4134d14dc93a,     // 0.40524, -0.91421'
+    0x3fd9372a63bc93d7,     0xbfed696173c9e68b,     // 0.39399, -0.91911'
+    0x3fd87de2a6aea963,     0xbfed906bcf328d46,     // 0.38268, -0.92388'
+    0x3fd7c3a9311dcce7,     0xbfedb6526238a09b,     // 0.37132, -0.92851'
+    0x3fd7088530fa459e,     0xbfeddb13b6ccc23d,     //  0.3599, -0.93299'
+    0x3fd64c7ddd3f27c6,     0xbfedfeae622dbe2b,     // 0.34842, -0.93734'
+    0x3fd58f9a75ab1fdd,     0xbfee212104f686e5,     // 0.33689, -0.94154'
+    0x3fd4d1e24278e76a,     0xbfee426a4b2bc17e,     // 0.32531, -0.94561'
+    0x3fd4135c94176602,     0xbfee6288ec48e112,     // 0.31368, -0.94953'
+    0x3fd35410c2e18152,     0xbfee817bab4cd10d,     // 0.30201, -0.95331'
+    0x3fd294062ed59f05,     0xbfee9f4156c62dda,     // 0.29028, -0.95694'
+    0x3fd1d3443f4cdb3d,     0xbfeebbd8c8df0b74,     // 0.27852, -0.96043'
+    0x3fd111d262b1f677,     0xbfeed740e7684963,     // 0.26671, -0.96378'
+    0x3fd04fb80e37fdae,     0xbfeef178a3e473c2,     // 0.25487, -0.96698'
+    0x3fcf19f97b215f1a,     0xbfef0a7efb9230d7,     // 0.24298, -0.97003'
+    0x3fcd934fe5454311,     0xbfef2252f7763ada,     // 0.23106, -0.97294'
+    0x3fcc0b826a7e4f63,     0xbfef38f3ac64e589,     //  0.2191,  -0.9757'
+    0x3fca82a025b00451,     0xbfef4e603b0b2f2d,     // 0.20711, -0.97832'
+    0x3fc8f8b83c69a60a,     0xbfef6297cff75cb0,     // 0.19509, -0.98079'
+    0x3fc76dd9de50bf31,     0xbfef7599a3a12077,     // 0.18304, -0.98311'
+    0x3fc5e214448b3fc6,     0xbfef8764fa714ba9,     // 0.17096, -0.98528'
+    0x3fc45576b1293e5a,     0xbfef97f924c9099b,     // 0.15886,  -0.9873'
+    0x3fc2c8106e8e613a,     0xbfefa7557f08a517,     // 0.14673, -0.98918'
+    0x3fc139f0cedaf576,     0xbfefb5797195d741,     // 0.13458,  -0.9909'
+    0x3fbf564e56a9730e,     0xbfefc26470e19fd3,     // 0.12241, -0.99248'
+    0x3fbc3785c79ec2d5,     0xbfefce15fd6da67b,     // 0.11022, -0.99391'
+    0x3fb917a6bc29b42c,     0xbfefd88da3d12526,     //0.098017, -0.99518'
+    0x3fb5f6d00a9aa419,     0xbfefe1cafcbd5b09,     //0.085797, -0.99631'
+    0x3fb2d52092ce19f6,     0xbfefe9cdad01883a,     //0.073565, -0.99729'
+    0x3faf656e79f820e0,     0xbfeff095658e71ad,     //0.061321, -0.99812'
+    0x3fa91f65f10dd814,     0xbfeff621e3796d7e,     //0.049068,  -0.9988'
+    0x3fa2d865759455cd,     0xbfeffa72effef75d,     //0.036807, -0.99932'
+    0x3f992155f7a3667e,     0xbfeffd886084cd0d,     //0.024541,  -0.9997'
+    0x3f8921d1fcdec784,     0xbfefff62169b92db,     //0.012272, -0.99992'
+
+
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_1024)
+const uint64_t twiddleCoefF64_rfft_1024[1024] = {
+    0x0000000000000000,     0x3ff0000000000000,     //        0,         1'
+    0x3f7921f0fe670071,     0x3fefffd8858e8a92,     //0.0061359,   0.99998'
+    0x3f8921d1fcdec784,     0x3fefff62169b92db,     // 0.012272,   0.99992'
+    0x3f92d936bbe30efd,     0x3feffe9cb44b51a1,     // 0.018407,   0.99983'
+    0x3f992155f7a3667e,     0x3feffd886084cd0d,     // 0.024541,    0.9997'
+    0x3f9f693731d1cf01,     0x3feffc251df1d3f8,     // 0.030675,   0.99953'
+    0x3fa2d865759455cd,     0x3feffa72effef75d,     // 0.036807,   0.99932'
+    0x3fa5fc00d290cd43,     0x3feff871dadb81df,     // 0.042938,   0.99908'
+    0x3fa91f65f10dd814,     0x3feff621e3796d7e,     // 0.049068,    0.9988'
+    0x3fac428d12c0d7e3,     0x3feff3830f8d575c,     // 0.055195,   0.99848'
+    0x3faf656e79f820e0,     0x3feff095658e71ad,     // 0.061321,   0.99812'
+    0x3fb1440134d709b2,     0x3fefed58ecb673c4,     // 0.067444,   0.99772'
+    0x3fb2d52092ce19f6,     0x3fefe9cdad01883a,     // 0.073565,   0.99729'
+    0x3fb4661179272096,     0x3fefe5f3af2e3940,     // 0.079682,   0.99682'
+    0x3fb5f6d00a9aa419,     0x3fefe1cafcbd5b09,     // 0.085797,   0.99631'
+    0x3fb787586a5d5b21,     0x3fefdd539ff1f456,     // 0.091909,   0.99577'
+    0x3fb917a6bc29b42c,     0x3fefd88da3d12526,     // 0.098017,   0.99518'
+    0x3fbaa7b724495c04,     0x3fefd37914220b84,     //  0.10412,   0.99456'
+    0x3fbc3785c79ec2d5,     0x3fefce15fd6da67b,     //  0.11022,   0.99391'
+    0x3fbdc70ecbae9fc8,     0x3fefc8646cfeb721,     //  0.11632,   0.99321'
+    0x3fbf564e56a9730e,     0x3fefc26470e19fd3,     //  0.12241,   0.99248'
+    0x3fc072a047ba831d,     0x3fefbc1617e44186,     //   0.1285,   0.99171'
+    0x3fc139f0cedaf576,     0x3fefb5797195d741,     //  0.13458,    0.9909'
+    0x3fc20116d4ec7bce,     0x3fefae8e8e46cfbb,     //  0.14066,   0.99006'
+    0x3fc2c8106e8e613a,     0x3fefa7557f08a517,     //  0.14673,   0.98918'
+    0x3fc38edbb0cd8d14,     0x3fef9fce55adb2c8,     //   0.1528,   0.98826'
+    0x3fc45576b1293e5a,     0x3fef97f924c9099b,     //  0.15886,    0.9873'
+    0x3fc51bdf8597c5f2,     0x3fef8fd5ffae41db,     //  0.16491,   0.98631'
+    0x3fc5e214448b3fc6,     0x3fef8764fa714ba9,     //  0.17096,   0.98528'
+    0x3fc6a81304f64ab2,     0x3fef7ea629e63d6e,     //    0.177,   0.98421'
+    0x3fc76dd9de50bf31,     0x3fef7599a3a12077,     //  0.18304,   0.98311'
+    0x3fc83366e89c64c5,     0x3fef6c3f7df5bbb7,     //  0.18907,   0.98196'
+    0x3fc8f8b83c69a60a,     0x3fef6297cff75cb0,     //  0.19509,   0.98079'
+    0x3fc9bdcbf2dc4366,     0x3fef58a2b1789e84,     //   0.2011,   0.97957'
+    0x3fca82a025b00451,     0x3fef4e603b0b2f2d,     //  0.20711,   0.97832'
+    0x3fcb4732ef3d6722,     0x3fef43d085ff92dd,     //  0.21311,   0.97703'
+    0x3fcc0b826a7e4f63,     0x3fef38f3ac64e589,     //   0.2191,    0.9757'
+    0x3fcccf8cb312b286,     0x3fef2dc9c9089a9d,     //  0.22508,   0.97434'
+    0x3fcd934fe5454311,     0x3fef2252f7763ada,     //  0.23106,   0.97294'
+    0x3fce56ca1e101a1b,     0x3fef168f53f7205d,     //  0.23702,    0.9715'
+    0x3fcf19f97b215f1a,     0x3fef0a7efb9230d7,     //  0.24298,   0.97003'
+    0x3fcfdcdc1adfedf8,     0x3feefe220c0b95ec,     //  0.24893,   0.96852'
+    0x3fd04fb80e37fdae,     0x3feef178a3e473c2,     //  0.25487,   0.96698'
+    0x3fd0b0d9cfdbdb90,     0x3feee482e25a9dbc,     //  0.26079,   0.96539'
+    0x3fd111d262b1f677,     0x3feed740e7684963,     //  0.26671,   0.96378'
+    0x3fd172a0d7765177,     0x3feec9b2d3c3bf84,     //  0.27262,   0.96212'
+    0x3fd1d3443f4cdb3d,     0x3feebbd8c8df0b74,     //  0.27852,   0.96043'
+    0x3fd233bbabc3bb72,     0x3feeadb2e8e7a88e,     //  0.28441,    0.9587'
+    0x3fd294062ed59f05,     0x3fee9f4156c62dda,     //  0.29028,   0.95694'
+    0x3fd2f422daec0386,     0x3fee9084361df7f3,     //  0.29615,   0.95514'
+    0x3fd35410c2e18152,     0x3fee817bab4cd10d,     //  0.30201,   0.95331'
+    0x3fd3b3cefa0414b7,     0x3fee7227db6a9744,     //  0.30785,   0.95144'
+    0x3fd4135c94176602,     0x3fee6288ec48e112,     //  0.31368,   0.94953'
+    0x3fd472b8a5571054,     0x3fee529f04729ffc,     //   0.3195,   0.94759'
+    0x3fd4d1e24278e76a,     0x3fee426a4b2bc17e,     //  0.32531,   0.94561'
+    0x3fd530d880af3c24,     0x3fee31eae870ce25,     //  0.33111,   0.94359'
+    0x3fd58f9a75ab1fdd,     0x3fee212104f686e5,     //  0.33689,   0.94154'
+    0x3fd5ee27379ea693,     0x3fee100cca2980ac,     //  0.34266,   0.93946'
+    0x3fd64c7ddd3f27c6,     0x3fedfeae622dbe2b,     //  0.34842,   0.93734'
+    0x3fd6aa9d7dc77e16,     0x3feded05f7de47da,     //  0.35416,   0.93518'
+    0x3fd7088530fa459e,     0x3feddb13b6ccc23d,     //   0.3599,   0.93299'
+    0x3fd766340f2418f6,     0x3fedc8d7cb410260,     //  0.36561,   0.93077'
+    0x3fd7c3a9311dcce7,     0x3fedb6526238a09b,     //  0.37132,   0.92851'
+    0x3fd820e3b04eaac4,     0x3feda383a9668988,     //  0.37701,   0.92621'
+    0x3fd87de2a6aea963,     0x3fed906bcf328d46,     //  0.38268,   0.92388'
+    0x3fd8daa52ec8a4af,     0x3fed7d0b02b8ecf9,     //  0.38835,   0.92151'
+    0x3fd9372a63bc93d7,     0x3fed696173c9e68b,     //  0.39399,   0.91911'
+    0x3fd993716141bdfe,     0x3fed556f52e93eb1,     //  0.39962,   0.91668'
+    0x3fd9ef7943a8ed8a,     0x3fed4134d14dc93a,     //  0.40524,   0.91421'
+    0x3fda4b4127dea1e4,     0x3fed2cb220e0ef9f,     //  0.41084,   0.91171'
+    0x3fdaa6c82b6d3fc9,     0x3fed17e7743e35dc,     //  0.41643,   0.90917'
+    0x3fdb020d6c7f4009,     0x3fed02d4feb2bd92,     //    0.422,    0.9066'
+    0x3fdb5d1009e15cc0,     0x3feced7af43cc773,     //  0.42756,   0.90399'
+    0x3fdbb7cf2304bd01,     0x3fecd7d9898b32f6,     //  0.43309,   0.90135'
+    0x3fdc1249d8011ee7,     0x3fecc1f0f3fcfc5c,     //  0.43862,   0.89867'
+    0x3fdc6c7f4997000a,     0x3fecabc169a0b901,     //  0.44412,   0.89597'
+    0x3fdcc66e9931c45d,     0x3fec954b213411f5,     //  0.44961,   0.89322'
+    0x3fdd2016e8e9db5b,     0x3fec7e8e52233cf3,     //  0.45508,   0.89045'
+    0x3fdd79775b86e389,     0x3fec678b3488739b,     //  0.46054,   0.88764'
+    0x3fddd28f1481cc58,     0x3fec5042012b6907,     //  0.46598,    0.8848'
+    0x3fde2b5d3806f63b,     0x3fec38b2f180bdb1,     //   0.4714,   0.88192'
+    0x3fde83e0eaf85113,     0x3fec20de3fa971b0,     //   0.4768,   0.87901'
+    0x3fdedc1952ef78d5,     0x3fec08c426725549,     //  0.48218,   0.87607'
+    0x3fdf3405963fd068,     0x3febf064e15377dd,     //  0.48755,   0.87309'
+    0x3fdf8ba4dbf89aba,     0x3febd7c0ac6f952a,     //   0.4929,   0.87009'
+    0x3fdfe2f64be7120f,     0x3febbed7c49380ea,     //  0.49823,   0.86705'
+    0x3fe01cfc874c3eb7,     0x3feba5aa673590d2,     //  0.50354,   0.86397'
+    0x3fe0485626ae221a,     0x3feb8c38d27504e9,     //  0.50883,   0.86087'
+    0x3fe073879922ffed,     0x3feb728345196e3e,     //   0.5141,   0.85773'
+    0x3fe09e907417c5e1,     0x3feb5889fe921405,     //  0.51936,   0.85456'
+    0x3fe0c9704d5d898f,     0x3feb3e4d3ef55712,     //  0.52459,   0.85136'
+    0x3fe0f426bb2a8e7d,     0x3feb23cd470013b4,     //   0.5298,   0.84812'
+    0x3fe11eb3541b4b22,     0x3feb090a58150200,     //    0.535,   0.84485'
+    0x3fe14915af336ceb,     0x3feaee04b43c1474,     //  0.54017,   0.84155'
+    0x3fe1734d63dedb49,     0x3fead2bc9e21d511,     //  0.54532,   0.83822'
+    0x3fe19d5a09f2b9b8,     0x3feab7325916c0d4,     //  0.55046,   0.83486'
+    0x3fe1c73b39ae68c8,     0x3fea9b66290ea1a3,     //  0.55557,   0.83147'
+    0x3fe1f0f08bbc861b,     0x3fea7f58529fe69d,     //  0.56066,   0.82805'
+    0x3fe21a799933eb58,     0x3fea63091b02fae2,     //  0.56573,   0.82459'
+    0x3fe243d5fb98ac1f,     0x3fea4678c8119ac8,     //  0.57078,    0.8211'
+    0x3fe26d054cdd12df,     0x3fea29a7a0462782,     //  0.57581,   0.81758'
+    0x3fe2960727629ca8,     0x3fea0c95eabaf937,     //  0.58081,   0.81404'
+    0x3fe2bedb25faf3ea,     0x3fe9ef43ef29af94,     //   0.5858,   0.81046'
+    0x3fe2e780e3e8ea16,     0x3fe9d1b1f5ea80d6,     //  0.59076,   0.80685'
+    0x3fe30ff7fce17035,     0x3fe9b3e047f38741,     //   0.5957,   0.80321'
+    0x3fe338400d0c8e57,     0x3fe995cf2ed80d22,     //  0.60062,   0.79954'
+    0x3fe36058b10659f3,     0x3fe9777ef4c7d742,     //  0.60551,   0.79584'
+    0x3fe3884185dfeb22,     0x3fe958efe48e6dd7,     //  0.61038,   0.79211'
+    0x3fe3affa292050b9,     0x3fe93a22499263fc,     //  0.61523,   0.78835'
+    0x3fe3d78238c58343,     0x3fe91b166fd49da2,     //  0.62006,   0.78456'
+    0x3fe3fed9534556d4,     0x3fe8fbcca3ef940d,     //  0.62486,   0.78074'
+    0x3fe425ff178e6bb1,     0x3fe8dc45331698cc,     //  0.62964,   0.77689'
+    0x3fe44cf325091dd6,     0x3fe8bc806b151741,     //  0.63439,   0.77301'
+    0x3fe473b51b987347,     0x3fe89c7e9a4dd4ab,     //  0.63912,    0.7691'
+    0x3fe49a449b9b0938,     0x3fe87c400fba2ebf,     //  0.64383,   0.76517'
+    0x3fe4c0a145ec0004,     0x3fe85bc51ae958cc,     //  0.64851,    0.7612'
+    0x3fe4e6cabbe3e5e9,     0x3fe83b0e0bff976e,     //  0.65317,   0.75721'
+    0x3fe50cc09f59a09b,     0x3fe81a1b33b57acc,     //  0.65781,   0.75319'
+    0x3fe5328292a35596,     0x3fe7f8ece3571771,     //  0.66242,   0.74914'
+    0x3fe5581038975137,     0x3fe7d7836cc33db2,     //    0.667,   0.74506'
+    0x3fe57d69348cec9f,     0x3fe7b5df226aafb0,     //  0.67156,   0.74095'
+    0x3fe5a28d2a5d7250,     0x3fe79400574f55e4,     //  0.67609,   0.73682'
+    0x3fe5c77bbe65018c,     0x3fe771e75f037261,     //   0.6806,   0.73265'
+    0x3fe5ec3495837074,     0x3fe74f948da8d28d,     //  0.68508,   0.72846'
+    0x3fe610b7551d2cde,     0x3fe72d0837efff97,     //  0.68954,   0.72425'
+    0x3fe63503a31c1be8,     0x3fe70a42b3176d7a,     //  0.69397,      0.72'
+    0x3fe6591925f0783e,     0x3fe6e74454eaa8ae,     //  0.69838,   0.71573'
+    0x3fe67cf78491af10,     0x3fe6c40d73c18275,     //  0.70275,   0.71143'
+    0x3fe6a09e667f3bcc,     0x3fe6a09e667f3bcc,     //  0.70711,   0.70711'
+    0x3fe6c40d73c18275,     0x3fe67cf78491af10,     //  0.71143,   0.70275'
+    0x3fe6e74454eaa8ae,     0x3fe6591925f0783e,     //  0.71573,   0.69838'
+    0x3fe70a42b3176d7a,     0x3fe63503a31c1be8,     //     0.72,   0.69397'
+    0x3fe72d0837efff97,     0x3fe610b7551d2cde,     //  0.72425,   0.68954'
+    0x3fe74f948da8d28d,     0x3fe5ec3495837074,     //  0.72846,   0.68508'
+    0x3fe771e75f037261,     0x3fe5c77bbe65018c,     //  0.73265,    0.6806'
+    0x3fe79400574f55e4,     0x3fe5a28d2a5d7250,     //  0.73682,   0.67609'
+    0x3fe7b5df226aafb0,     0x3fe57d69348cec9f,     //  0.74095,   0.67156'
+    0x3fe7d7836cc33db2,     0x3fe5581038975137,     //  0.74506,     0.667'
+    0x3fe7f8ece3571771,     0x3fe5328292a35596,     //  0.74914,   0.66242'
+    0x3fe81a1b33b57acc,     0x3fe50cc09f59a09b,     //  0.75319,   0.65781'
+    0x3fe83b0e0bff976e,     0x3fe4e6cabbe3e5e9,     //  0.75721,   0.65317'
+    0x3fe85bc51ae958cc,     0x3fe4c0a145ec0004,     //   0.7612,   0.64851'
+    0x3fe87c400fba2ebf,     0x3fe49a449b9b0938,     //  0.76517,   0.64383'
+    0x3fe89c7e9a4dd4ab,     0x3fe473b51b987347,     //   0.7691,   0.63912'
+    0x3fe8bc806b151741,     0x3fe44cf325091dd6,     //  0.77301,   0.63439'
+    0x3fe8dc45331698cc,     0x3fe425ff178e6bb1,     //  0.77689,   0.62964'
+    0x3fe8fbcca3ef940d,     0x3fe3fed9534556d4,     //  0.78074,   0.62486'
+    0x3fe91b166fd49da2,     0x3fe3d78238c58343,     //  0.78456,   0.62006'
+    0x3fe93a22499263fc,     0x3fe3affa292050b9,     //  0.78835,   0.61523'
+    0x3fe958efe48e6dd7,     0x3fe3884185dfeb22,     //  0.79211,   0.61038'
+    0x3fe9777ef4c7d742,     0x3fe36058b10659f3,     //  0.79584,   0.60551'
+    0x3fe995cf2ed80d22,     0x3fe338400d0c8e57,     //  0.79954,   0.60062'
+    0x3fe9b3e047f38741,     0x3fe30ff7fce17035,     //  0.80321,    0.5957'
+    0x3fe9d1b1f5ea80d6,     0x3fe2e780e3e8ea16,     //  0.80685,   0.59076'
+    0x3fe9ef43ef29af94,     0x3fe2bedb25faf3ea,     //  0.81046,    0.5858'
+    0x3fea0c95eabaf937,     0x3fe2960727629ca8,     //  0.81404,   0.58081'
+    0x3fea29a7a0462782,     0x3fe26d054cdd12df,     //  0.81758,   0.57581'
+    0x3fea4678c8119ac8,     0x3fe243d5fb98ac1f,     //   0.8211,   0.57078'
+    0x3fea63091b02fae2,     0x3fe21a799933eb58,     //  0.82459,   0.56573'
+    0x3fea7f58529fe69d,     0x3fe1f0f08bbc861b,     //  0.82805,   0.56066'
+    0x3fea9b66290ea1a3,     0x3fe1c73b39ae68c8,     //  0.83147,   0.55557'
+    0x3feab7325916c0d4,     0x3fe19d5a09f2b9b8,     //  0.83486,   0.55046'
+    0x3fead2bc9e21d511,     0x3fe1734d63dedb49,     //  0.83822,   0.54532'
+    0x3feaee04b43c1474,     0x3fe14915af336ceb,     //  0.84155,   0.54017'
+    0x3feb090a58150200,     0x3fe11eb3541b4b22,     //  0.84485,     0.535'
+    0x3feb23cd470013b4,     0x3fe0f426bb2a8e7d,     //  0.84812,    0.5298'
+    0x3feb3e4d3ef55712,     0x3fe0c9704d5d898f,     //  0.85136,   0.52459'
+    0x3feb5889fe921405,     0x3fe09e907417c5e1,     //  0.85456,   0.51936'
+    0x3feb728345196e3e,     0x3fe073879922ffed,     //  0.85773,    0.5141'
+    0x3feb8c38d27504e9,     0x3fe0485626ae221a,     //  0.86087,   0.50883'
+    0x3feba5aa673590d2,     0x3fe01cfc874c3eb7,     //  0.86397,   0.50354'
+    0x3febbed7c49380ea,     0x3fdfe2f64be7120f,     //  0.86705,   0.49823'
+    0x3febd7c0ac6f952a,     0x3fdf8ba4dbf89aba,     //  0.87009,    0.4929'
+    0x3febf064e15377dd,     0x3fdf3405963fd068,     //  0.87309,   0.48755'
+    0x3fec08c426725549,     0x3fdedc1952ef78d5,     //  0.87607,   0.48218'
+    0x3fec20de3fa971b0,     0x3fde83e0eaf85113,     //  0.87901,    0.4768'
+    0x3fec38b2f180bdb1,     0x3fde2b5d3806f63b,     //  0.88192,    0.4714'
+    0x3fec5042012b6907,     0x3fddd28f1481cc58,     //   0.8848,   0.46598'
+    0x3fec678b3488739b,     0x3fdd79775b86e389,     //  0.88764,   0.46054'
+    0x3fec7e8e52233cf3,     0x3fdd2016e8e9db5b,     //  0.89045,   0.45508'
+    0x3fec954b213411f5,     0x3fdcc66e9931c45d,     //  0.89322,   0.44961'
+    0x3fecabc169a0b901,     0x3fdc6c7f4997000a,     //  0.89597,   0.44412'
+    0x3fecc1f0f3fcfc5c,     0x3fdc1249d8011ee7,     //  0.89867,   0.43862'
+    0x3fecd7d9898b32f6,     0x3fdbb7cf2304bd01,     //  0.90135,   0.43309'
+    0x3feced7af43cc773,     0x3fdb5d1009e15cc0,     //  0.90399,   0.42756'
+    0x3fed02d4feb2bd92,     0x3fdb020d6c7f4009,     //   0.9066,     0.422'
+    0x3fed17e7743e35dc,     0x3fdaa6c82b6d3fc9,     //  0.90917,   0.41643'
+    0x3fed2cb220e0ef9f,     0x3fda4b4127dea1e4,     //  0.91171,   0.41084'
+    0x3fed4134d14dc93a,     0x3fd9ef7943a8ed8a,     //  0.91421,   0.40524'
+    0x3fed556f52e93eb1,     0x3fd993716141bdfe,     //  0.91668,   0.39962'
+    0x3fed696173c9e68b,     0x3fd9372a63bc93d7,     //  0.91911,   0.39399'
+    0x3fed7d0b02b8ecf9,     0x3fd8daa52ec8a4af,     //  0.92151,   0.38835'
+    0x3fed906bcf328d46,     0x3fd87de2a6aea963,     //  0.92388,   0.38268'
+    0x3feda383a9668988,     0x3fd820e3b04eaac4,     //  0.92621,   0.37701'
+    0x3fedb6526238a09b,     0x3fd7c3a9311dcce7,     //  0.92851,   0.37132'
+    0x3fedc8d7cb410260,     0x3fd766340f2418f6,     //  0.93077,   0.36561'
+    0x3feddb13b6ccc23d,     0x3fd7088530fa459e,     //  0.93299,    0.3599'
+    0x3feded05f7de47da,     0x3fd6aa9d7dc77e16,     //  0.93518,   0.35416'
+    0x3fedfeae622dbe2b,     0x3fd64c7ddd3f27c6,     //  0.93734,   0.34842'
+    0x3fee100cca2980ac,     0x3fd5ee27379ea693,     //  0.93946,   0.34266'
+    0x3fee212104f686e5,     0x3fd58f9a75ab1fdd,     //  0.94154,   0.33689'
+    0x3fee31eae870ce25,     0x3fd530d880af3c24,     //  0.94359,   0.33111'
+    0x3fee426a4b2bc17e,     0x3fd4d1e24278e76a,     //  0.94561,   0.32531'
+    0x3fee529f04729ffc,     0x3fd472b8a5571054,     //  0.94759,    0.3195'
+    0x3fee6288ec48e112,     0x3fd4135c94176602,     //  0.94953,   0.31368'
+    0x3fee7227db6a9744,     0x3fd3b3cefa0414b7,     //  0.95144,   0.30785'
+    0x3fee817bab4cd10d,     0x3fd35410c2e18152,     //  0.95331,   0.30201'
+    0x3fee9084361df7f3,     0x3fd2f422daec0386,     //  0.95514,   0.29615'
+    0x3fee9f4156c62dda,     0x3fd294062ed59f05,     //  0.95694,   0.29028'
+    0x3feeadb2e8e7a88e,     0x3fd233bbabc3bb72,     //   0.9587,   0.28441'
+    0x3feebbd8c8df0b74,     0x3fd1d3443f4cdb3d,     //  0.96043,   0.27852'
+    0x3feec9b2d3c3bf84,     0x3fd172a0d7765177,     //  0.96212,   0.27262'
+    0x3feed740e7684963,     0x3fd111d262b1f677,     //  0.96378,   0.26671'
+    0x3feee482e25a9dbc,     0x3fd0b0d9cfdbdb90,     //  0.96539,   0.26079'
+    0x3feef178a3e473c2,     0x3fd04fb80e37fdae,     //  0.96698,   0.25487'
+    0x3feefe220c0b95ec,     0x3fcfdcdc1adfedf8,     //  0.96852,   0.24893'
+    0x3fef0a7efb9230d7,     0x3fcf19f97b215f1a,     //  0.97003,   0.24298'
+    0x3fef168f53f7205d,     0x3fce56ca1e101a1b,     //   0.9715,   0.23702'
+    0x3fef2252f7763ada,     0x3fcd934fe5454311,     //  0.97294,   0.23106'
+    0x3fef2dc9c9089a9d,     0x3fcccf8cb312b286,     //  0.97434,   0.22508'
+    0x3fef38f3ac64e589,     0x3fcc0b826a7e4f63,     //   0.9757,    0.2191'
+    0x3fef43d085ff92dd,     0x3fcb4732ef3d6722,     //  0.97703,   0.21311'
+    0x3fef4e603b0b2f2d,     0x3fca82a025b00451,     //  0.97832,   0.20711'
+    0x3fef58a2b1789e84,     0x3fc9bdcbf2dc4366,     //  0.97957,    0.2011'
+    0x3fef6297cff75cb0,     0x3fc8f8b83c69a60a,     //  0.98079,   0.19509'
+    0x3fef6c3f7df5bbb7,     0x3fc83366e89c64c5,     //  0.98196,   0.18907'
+    0x3fef7599a3a12077,     0x3fc76dd9de50bf31,     //  0.98311,   0.18304'
+    0x3fef7ea629e63d6e,     0x3fc6a81304f64ab2,     //  0.98421,     0.177'
+    0x3fef8764fa714ba9,     0x3fc5e214448b3fc6,     //  0.98528,   0.17096'
+    0x3fef8fd5ffae41db,     0x3fc51bdf8597c5f2,     //  0.98631,   0.16491'
+    0x3fef97f924c9099b,     0x3fc45576b1293e5a,     //   0.9873,   0.15886'
+    0x3fef9fce55adb2c8,     0x3fc38edbb0cd8d14,     //  0.98826,    0.1528'
+    0x3fefa7557f08a517,     0x3fc2c8106e8e613a,     //  0.98918,   0.14673'
+    0x3fefae8e8e46cfbb,     0x3fc20116d4ec7bce,     //  0.99006,   0.14066'
+    0x3fefb5797195d741,     0x3fc139f0cedaf576,     //   0.9909,   0.13458'
+    0x3fefbc1617e44186,     0x3fc072a047ba831d,     //  0.99171,    0.1285'
+    0x3fefc26470e19fd3,     0x3fbf564e56a9730e,     //  0.99248,   0.12241'
+    0x3fefc8646cfeb721,     0x3fbdc70ecbae9fc8,     //  0.99321,   0.11632'
+    0x3fefce15fd6da67b,     0x3fbc3785c79ec2d5,     //  0.99391,   0.11022'
+    0x3fefd37914220b84,     0x3fbaa7b724495c04,     //  0.99456,   0.10412'
+    0x3fefd88da3d12526,     0x3fb917a6bc29b42c,     //  0.99518,  0.098017'
+    0x3fefdd539ff1f456,     0x3fb787586a5d5b21,     //  0.99577,  0.091909'
+    0x3fefe1cafcbd5b09,     0x3fb5f6d00a9aa419,     //  0.99631,  0.085797'
+    0x3fefe5f3af2e3940,     0x3fb4661179272096,     //  0.99682,  0.079682'
+    0x3fefe9cdad01883a,     0x3fb2d52092ce19f6,     //  0.99729,  0.073565'
+    0x3fefed58ecb673c4,     0x3fb1440134d709b2,     //  0.99772,  0.067444'
+    0x3feff095658e71ad,     0x3faf656e79f820e0,     //  0.99812,  0.061321'
+    0x3feff3830f8d575c,     0x3fac428d12c0d7e3,     //  0.99848,  0.055195'
+    0x3feff621e3796d7e,     0x3fa91f65f10dd814,     //   0.9988,  0.049068'
+    0x3feff871dadb81df,     0x3fa5fc00d290cd43,     //  0.99908,  0.042938'
+    0x3feffa72effef75d,     0x3fa2d865759455cd,     //  0.99932,  0.036807'
+    0x3feffc251df1d3f8,     0x3f9f693731d1cf01,     //  0.99953,  0.030675'
+    0x3feffd886084cd0d,     0x3f992155f7a3667e,     //   0.9997,  0.024541'
+    0x3feffe9cb44b51a1,     0x3f92d936bbe30efd,     //  0.99983,  0.018407'
+    0x3fefff62169b92db,     0x3f8921d1fcdec784,     //  0.99992,  0.012272'
+    0x3fefffd8858e8a92,     0x3f7921f0fe670071,     //  0.99998, 0.0061359'
+    0x3ff0000000000000,     0x0000000000000000,     //        1,         0'
+    0x3fefffd8858e8a92,     0xbf7921f0fe670071,     //  0.99998,-0.0061359'
+    0x3fefff62169b92db,     0xbf8921d1fcdec784,     //  0.99992, -0.012272'
+    0x3feffe9cb44b51a1,     0xbf92d936bbe30efd,     //  0.99983, -0.018407'
+    0x3feffd886084cd0d,     0xbf992155f7a3667e,     //   0.9997, -0.024541'
+    0x3feffc251df1d3f8,     0xbf9f693731d1cf01,     //  0.99953, -0.030675'
+    0x3feffa72effef75d,     0xbfa2d865759455cd,     //  0.99932, -0.036807'
+    0x3feff871dadb81df,     0xbfa5fc00d290cd43,     //  0.99908, -0.042938'
+    0x3feff621e3796d7e,     0xbfa91f65f10dd814,     //   0.9988, -0.049068'
+    0x3feff3830f8d575c,     0xbfac428d12c0d7e3,     //  0.99848, -0.055195'
+    0x3feff095658e71ad,     0xbfaf656e79f820e0,     //  0.99812, -0.061321'
+    0x3fefed58ecb673c4,     0xbfb1440134d709b2,     //  0.99772, -0.067444'
+    0x3fefe9cdad01883a,     0xbfb2d52092ce19f6,     //  0.99729, -0.073565'
+    0x3fefe5f3af2e3940,     0xbfb4661179272096,     //  0.99682, -0.079682'
+    0x3fefe1cafcbd5b09,     0xbfb5f6d00a9aa419,     //  0.99631, -0.085797'
+    0x3fefdd539ff1f456,     0xbfb787586a5d5b21,     //  0.99577, -0.091909'
+    0x3fefd88da3d12526,     0xbfb917a6bc29b42c,     //  0.99518, -0.098017'
+    0x3fefd37914220b84,     0xbfbaa7b724495c04,     //  0.99456,  -0.10412'
+    0x3fefce15fd6da67b,     0xbfbc3785c79ec2d5,     //  0.99391,  -0.11022'
+    0x3fefc8646cfeb721,     0xbfbdc70ecbae9fc8,     //  0.99321,  -0.11632'
+    0x3fefc26470e19fd3,     0xbfbf564e56a9730e,     //  0.99248,  -0.12241'
+    0x3fefbc1617e44186,     0xbfc072a047ba831d,     //  0.99171,   -0.1285'
+    0x3fefb5797195d741,     0xbfc139f0cedaf576,     //   0.9909,  -0.13458'
+    0x3fefae8e8e46cfbb,     0xbfc20116d4ec7bce,     //  0.99006,  -0.14066'
+    0x3fefa7557f08a517,     0xbfc2c8106e8e613a,     //  0.98918,  -0.14673'
+    0x3fef9fce55adb2c8,     0xbfc38edbb0cd8d14,     //  0.98826,   -0.1528'
+    0x3fef97f924c9099b,     0xbfc45576b1293e5a,     //   0.9873,  -0.15886'
+    0x3fef8fd5ffae41db,     0xbfc51bdf8597c5f2,     //  0.98631,  -0.16491'
+    0x3fef8764fa714ba9,     0xbfc5e214448b3fc6,     //  0.98528,  -0.17096'
+    0x3fef7ea629e63d6e,     0xbfc6a81304f64ab2,     //  0.98421,    -0.177'
+    0x3fef7599a3a12077,     0xbfc76dd9de50bf31,     //  0.98311,  -0.18304'
+    0x3fef6c3f7df5bbb7,     0xbfc83366e89c64c5,     //  0.98196,  -0.18907'
+    0x3fef6297cff75cb0,     0xbfc8f8b83c69a60a,     //  0.98079,  -0.19509'
+    0x3fef58a2b1789e84,     0xbfc9bdcbf2dc4366,     //  0.97957,   -0.2011'
+    0x3fef4e603b0b2f2d,     0xbfca82a025b00451,     //  0.97832,  -0.20711'
+    0x3fef43d085ff92dd,     0xbfcb4732ef3d6722,     //  0.97703,  -0.21311'
+    0x3fef38f3ac64e589,     0xbfcc0b826a7e4f63,     //   0.9757,   -0.2191'
+    0x3fef2dc9c9089a9d,     0xbfcccf8cb312b286,     //  0.97434,  -0.22508'
+    0x3fef2252f7763ada,     0xbfcd934fe5454311,     //  0.97294,  -0.23106'
+    0x3fef168f53f7205d,     0xbfce56ca1e101a1b,     //   0.9715,  -0.23702'
+    0x3fef0a7efb9230d7,     0xbfcf19f97b215f1a,     //  0.97003,  -0.24298'
+    0x3feefe220c0b95ec,     0xbfcfdcdc1adfedf8,     //  0.96852,  -0.24893'
+    0x3feef178a3e473c2,     0xbfd04fb80e37fdae,     //  0.96698,  -0.25487'
+    0x3feee482e25a9dbc,     0xbfd0b0d9cfdbdb90,     //  0.96539,  -0.26079'
+    0x3feed740e7684963,     0xbfd111d262b1f677,     //  0.96378,  -0.26671'
+    0x3feec9b2d3c3bf84,     0xbfd172a0d7765177,     //  0.96212,  -0.27262'
+    0x3feebbd8c8df0b74,     0xbfd1d3443f4cdb3d,     //  0.96043,  -0.27852'
+    0x3feeadb2e8e7a88e,     0xbfd233bbabc3bb72,     //   0.9587,  -0.28441'
+    0x3fee9f4156c62dda,     0xbfd294062ed59f05,     //  0.95694,  -0.29028'
+    0x3fee9084361df7f3,     0xbfd2f422daec0386,     //  0.95514,  -0.29615'
+    0x3fee817bab4cd10d,     0xbfd35410c2e18152,     //  0.95331,  -0.30201'
+    0x3fee7227db6a9744,     0xbfd3b3cefa0414b7,     //  0.95144,  -0.30785'
+    0x3fee6288ec48e112,     0xbfd4135c94176602,     //  0.94953,  -0.31368'
+    0x3fee529f04729ffc,     0xbfd472b8a5571054,     //  0.94759,   -0.3195'
+    0x3fee426a4b2bc17e,     0xbfd4d1e24278e76a,     //  0.94561,  -0.32531'
+    0x3fee31eae870ce25,     0xbfd530d880af3c24,     //  0.94359,  -0.33111'
+    0x3fee212104f686e5,     0xbfd58f9a75ab1fdd,     //  0.94154,  -0.33689'
+    0x3fee100cca2980ac,     0xbfd5ee27379ea693,     //  0.93946,  -0.34266'
+    0x3fedfeae622dbe2b,     0xbfd64c7ddd3f27c6,     //  0.93734,  -0.34842'
+    0x3feded05f7de47da,     0xbfd6aa9d7dc77e16,     //  0.93518,  -0.35416'
+    0x3feddb13b6ccc23d,     0xbfd7088530fa459e,     //  0.93299,   -0.3599'
+    0x3fedc8d7cb410260,     0xbfd766340f2418f6,     //  0.93077,  -0.36561'
+    0x3fedb6526238a09b,     0xbfd7c3a9311dcce7,     //  0.92851,  -0.37132'
+    0x3feda383a9668988,     0xbfd820e3b04eaac4,     //  0.92621,  -0.37701'
+    0x3fed906bcf328d46,     0xbfd87de2a6aea963,     //  0.92388,  -0.38268'
+    0x3fed7d0b02b8ecf9,     0xbfd8daa52ec8a4af,     //  0.92151,  -0.38835'
+    0x3fed696173c9e68b,     0xbfd9372a63bc93d7,     //  0.91911,  -0.39399'
+    0x3fed556f52e93eb1,     0xbfd993716141bdfe,     //  0.91668,  -0.39962'
+    0x3fed4134d14dc93a,     0xbfd9ef7943a8ed8a,     //  0.91421,  -0.40524'
+    0x3fed2cb220e0ef9f,     0xbfda4b4127dea1e4,     //  0.91171,  -0.41084'
+    0x3fed17e7743e35dc,     0xbfdaa6c82b6d3fc9,     //  0.90917,  -0.41643'
+    0x3fed02d4feb2bd92,     0xbfdb020d6c7f4009,     //   0.9066,    -0.422'
+    0x3feced7af43cc773,     0xbfdb5d1009e15cc0,     //  0.90399,  -0.42756'
+    0x3fecd7d9898b32f6,     0xbfdbb7cf2304bd01,     //  0.90135,  -0.43309'
+    0x3fecc1f0f3fcfc5c,     0xbfdc1249d8011ee7,     //  0.89867,  -0.43862'
+    0x3fecabc169a0b901,     0xbfdc6c7f4997000a,     //  0.89597,  -0.44412'
+    0x3fec954b213411f5,     0xbfdcc66e9931c45d,     //  0.89322,  -0.44961'
+    0x3fec7e8e52233cf3,     0xbfdd2016e8e9db5b,     //  0.89045,  -0.45508'
+    0x3fec678b3488739b,     0xbfdd79775b86e389,     //  0.88764,  -0.46054'
+    0x3fec5042012b6907,     0xbfddd28f1481cc58,     //   0.8848,  -0.46598'
+    0x3fec38b2f180bdb1,     0xbfde2b5d3806f63b,     //  0.88192,   -0.4714'
+    0x3fec20de3fa971b0,     0xbfde83e0eaf85113,     //  0.87901,   -0.4768'
+    0x3fec08c426725549,     0xbfdedc1952ef78d5,     //  0.87607,  -0.48218'
+    0x3febf064e15377dd,     0xbfdf3405963fd068,     //  0.87309,  -0.48755'
+    0x3febd7c0ac6f952a,     0xbfdf8ba4dbf89aba,     //  0.87009,   -0.4929'
+    0x3febbed7c49380ea,     0xbfdfe2f64be7120f,     //  0.86705,  -0.49823'
+    0x3feba5aa673590d2,     0xbfe01cfc874c3eb7,     //  0.86397,  -0.50354'
+    0x3feb8c38d27504e9,     0xbfe0485626ae221a,     //  0.86087,  -0.50883'
+    0x3feb728345196e3e,     0xbfe073879922ffed,     //  0.85773,   -0.5141'
+    0x3feb5889fe921405,     0xbfe09e907417c5e1,     //  0.85456,  -0.51936'
+    0x3feb3e4d3ef55712,     0xbfe0c9704d5d898f,     //  0.85136,  -0.52459'
+    0x3feb23cd470013b4,     0xbfe0f426bb2a8e7d,     //  0.84812,   -0.5298'
+    0x3feb090a58150200,     0xbfe11eb3541b4b22,     //  0.84485,    -0.535'
+    0x3feaee04b43c1474,     0xbfe14915af336ceb,     //  0.84155,  -0.54017'
+    0x3fead2bc9e21d511,     0xbfe1734d63dedb49,     //  0.83822,  -0.54532'
+    0x3feab7325916c0d4,     0xbfe19d5a09f2b9b8,     //  0.83486,  -0.55046'
+    0x3fea9b66290ea1a3,     0xbfe1c73b39ae68c8,     //  0.83147,  -0.55557'
+    0x3fea7f58529fe69d,     0xbfe1f0f08bbc861b,     //  0.82805,  -0.56066'
+    0x3fea63091b02fae2,     0xbfe21a799933eb58,     //  0.82459,  -0.56573'
+    0x3fea4678c8119ac8,     0xbfe243d5fb98ac1f,     //   0.8211,  -0.57078'
+    0x3fea29a7a0462782,     0xbfe26d054cdd12df,     //  0.81758,  -0.57581'
+    0x3fea0c95eabaf937,     0xbfe2960727629ca8,     //  0.81404,  -0.58081'
+    0x3fe9ef43ef29af94,     0xbfe2bedb25faf3ea,     //  0.81046,   -0.5858'
+    0x3fe9d1b1f5ea80d6,     0xbfe2e780e3e8ea16,     //  0.80685,  -0.59076'
+    0x3fe9b3e047f38741,     0xbfe30ff7fce17035,     //  0.80321,   -0.5957'
+    0x3fe995cf2ed80d22,     0xbfe338400d0c8e57,     //  0.79954,  -0.60062'
+    0x3fe9777ef4c7d742,     0xbfe36058b10659f3,     //  0.79584,  -0.60551'
+    0x3fe958efe48e6dd7,     0xbfe3884185dfeb22,     //  0.79211,  -0.61038'
+    0x3fe93a22499263fc,     0xbfe3affa292050b9,     //  0.78835,  -0.61523'
+    0x3fe91b166fd49da2,     0xbfe3d78238c58343,     //  0.78456,  -0.62006'
+    0x3fe8fbcca3ef940d,     0xbfe3fed9534556d4,     //  0.78074,  -0.62486'
+    0x3fe8dc45331698cc,     0xbfe425ff178e6bb1,     //  0.77689,  -0.62964'
+    0x3fe8bc806b151741,     0xbfe44cf325091dd6,     //  0.77301,  -0.63439'
+    0x3fe89c7e9a4dd4ab,     0xbfe473b51b987347,     //   0.7691,  -0.63912'
+    0x3fe87c400fba2ebf,     0xbfe49a449b9b0938,     //  0.76517,  -0.64383'
+    0x3fe85bc51ae958cc,     0xbfe4c0a145ec0004,     //   0.7612,  -0.64851'
+    0x3fe83b0e0bff976e,     0xbfe4e6cabbe3e5e9,     //  0.75721,  -0.65317'
+    0x3fe81a1b33b57acc,     0xbfe50cc09f59a09b,     //  0.75319,  -0.65781'
+    0x3fe7f8ece3571771,     0xbfe5328292a35596,     //  0.74914,  -0.66242'
+    0x3fe7d7836cc33db2,     0xbfe5581038975137,     //  0.74506,    -0.667'
+    0x3fe7b5df226aafb0,     0xbfe57d69348cec9f,     //  0.74095,  -0.67156'
+    0x3fe79400574f55e4,     0xbfe5a28d2a5d7250,     //  0.73682,  -0.67609'
+    0x3fe771e75f037261,     0xbfe5c77bbe65018c,     //  0.73265,   -0.6806'
+    0x3fe74f948da8d28d,     0xbfe5ec3495837074,     //  0.72846,  -0.68508'
+    0x3fe72d0837efff97,     0xbfe610b7551d2cde,     //  0.72425,  -0.68954'
+    0x3fe70a42b3176d7a,     0xbfe63503a31c1be8,     //     0.72,  -0.69397'
+    0x3fe6e74454eaa8ae,     0xbfe6591925f0783e,     //  0.71573,  -0.69838'
+    0x3fe6c40d73c18275,     0xbfe67cf78491af10,     //  0.71143,  -0.70275'
+    0x3fe6a09e667f3bcc,     0xbfe6a09e667f3bcc,     //  0.70711,  -0.70711'
+    0x3fe67cf78491af10,     0xbfe6c40d73c18275,     //  0.70275,  -0.71143'
+    0x3fe6591925f0783e,     0xbfe6e74454eaa8ae,     //  0.69838,  -0.71573'
+    0x3fe63503a31c1be8,     0xbfe70a42b3176d7a,     //  0.69397,     -0.72'
+    0x3fe610b7551d2cde,     0xbfe72d0837efff97,     //  0.68954,  -0.72425'
+    0x3fe5ec3495837074,     0xbfe74f948da8d28d,     //  0.68508,  -0.72846'
+    0x3fe5c77bbe65018c,     0xbfe771e75f037261,     //   0.6806,  -0.73265'
+    0x3fe5a28d2a5d7250,     0xbfe79400574f55e4,     //  0.67609,  -0.73682'
+    0x3fe57d69348cec9f,     0xbfe7b5df226aafb0,     //  0.67156,  -0.74095'
+    0x3fe5581038975137,     0xbfe7d7836cc33db2,     //    0.667,  -0.74506'
+    0x3fe5328292a35596,     0xbfe7f8ece3571771,     //  0.66242,  -0.74914'
+    0x3fe50cc09f59a09b,     0xbfe81a1b33b57acc,     //  0.65781,  -0.75319'
+    0x3fe4e6cabbe3e5e9,     0xbfe83b0e0bff976e,     //  0.65317,  -0.75721'
+    0x3fe4c0a145ec0004,     0xbfe85bc51ae958cc,     //  0.64851,   -0.7612'
+    0x3fe49a449b9b0938,     0xbfe87c400fba2ebf,     //  0.64383,  -0.76517'
+    0x3fe473b51b987347,     0xbfe89c7e9a4dd4ab,     //  0.63912,   -0.7691'
+    0x3fe44cf325091dd6,     0xbfe8bc806b151741,     //  0.63439,  -0.77301'
+    0x3fe425ff178e6bb1,     0xbfe8dc45331698cc,     //  0.62964,  -0.77689'
+    0x3fe3fed9534556d4,     0xbfe8fbcca3ef940d,     //  0.62486,  -0.78074'
+    0x3fe3d78238c58343,     0xbfe91b166fd49da2,     //  0.62006,  -0.78456'
+    0x3fe3affa292050b9,     0xbfe93a22499263fc,     //  0.61523,  -0.78835'
+    0x3fe3884185dfeb22,     0xbfe958efe48e6dd7,     //  0.61038,  -0.79211'
+    0x3fe36058b10659f3,     0xbfe9777ef4c7d742,     //  0.60551,  -0.79584'
+    0x3fe338400d0c8e57,     0xbfe995cf2ed80d22,     //  0.60062,  -0.79954'
+    0x3fe30ff7fce17035,     0xbfe9b3e047f38741,     //   0.5957,  -0.80321'
+    0x3fe2e780e3e8ea16,     0xbfe9d1b1f5ea80d6,     //  0.59076,  -0.80685'
+    0x3fe2bedb25faf3ea,     0xbfe9ef43ef29af94,     //   0.5858,  -0.81046'
+    0x3fe2960727629ca8,     0xbfea0c95eabaf937,     //  0.58081,  -0.81404'
+    0x3fe26d054cdd12df,     0xbfea29a7a0462782,     //  0.57581,  -0.81758'
+    0x3fe243d5fb98ac1f,     0xbfea4678c8119ac8,     //  0.57078,   -0.8211'
+    0x3fe21a799933eb58,     0xbfea63091b02fae2,     //  0.56573,  -0.82459'
+    0x3fe1f0f08bbc861b,     0xbfea7f58529fe69d,     //  0.56066,  -0.82805'
+    0x3fe1c73b39ae68c8,     0xbfea9b66290ea1a3,     //  0.55557,  -0.83147'
+    0x3fe19d5a09f2b9b8,     0xbfeab7325916c0d4,     //  0.55046,  -0.83486'
+    0x3fe1734d63dedb49,     0xbfead2bc9e21d511,     //  0.54532,  -0.83822'
+    0x3fe14915af336ceb,     0xbfeaee04b43c1474,     //  0.54017,  -0.84155'
+    0x3fe11eb3541b4b22,     0xbfeb090a58150200,     //    0.535,  -0.84485'
+    0x3fe0f426bb2a8e7d,     0xbfeb23cd470013b4,     //   0.5298,  -0.84812'
+    0x3fe0c9704d5d898f,     0xbfeb3e4d3ef55712,     //  0.52459,  -0.85136'
+    0x3fe09e907417c5e1,     0xbfeb5889fe921405,     //  0.51936,  -0.85456'
+    0x3fe073879922ffed,     0xbfeb728345196e3e,     //   0.5141,  -0.85773'
+    0x3fe0485626ae221a,     0xbfeb8c38d27504e9,     //  0.50883,  -0.86087'
+    0x3fe01cfc874c3eb7,     0xbfeba5aa673590d2,     //  0.50354,  -0.86397'
+    0x3fdfe2f64be7120f,     0xbfebbed7c49380ea,     //  0.49823,  -0.86705'
+    0x3fdf8ba4dbf89aba,     0xbfebd7c0ac6f952a,     //   0.4929,  -0.87009'
+    0x3fdf3405963fd068,     0xbfebf064e15377dd,     //  0.48755,  -0.87309'
+    0x3fdedc1952ef78d5,     0xbfec08c426725549,     //  0.48218,  -0.87607'
+    0x3fde83e0eaf85113,     0xbfec20de3fa971b0,     //   0.4768,  -0.87901'
+    0x3fde2b5d3806f63b,     0xbfec38b2f180bdb1,     //   0.4714,  -0.88192'
+    0x3fddd28f1481cc58,     0xbfec5042012b6907,     //  0.46598,   -0.8848'
+    0x3fdd79775b86e389,     0xbfec678b3488739b,     //  0.46054,  -0.88764'
+    0x3fdd2016e8e9db5b,     0xbfec7e8e52233cf3,     //  0.45508,  -0.89045'
+    0x3fdcc66e9931c45d,     0xbfec954b213411f5,     //  0.44961,  -0.89322'
+    0x3fdc6c7f4997000a,     0xbfecabc169a0b901,     //  0.44412,  -0.89597'
+    0x3fdc1249d8011ee7,     0xbfecc1f0f3fcfc5c,     //  0.43862,  -0.89867'
+    0x3fdbb7cf2304bd01,     0xbfecd7d9898b32f6,     //  0.43309,  -0.90135'
+    0x3fdb5d1009e15cc0,     0xbfeced7af43cc773,     //  0.42756,  -0.90399'
+    0x3fdb020d6c7f4009,     0xbfed02d4feb2bd92,     //    0.422,   -0.9066'
+    0x3fdaa6c82b6d3fc9,     0xbfed17e7743e35dc,     //  0.41643,  -0.90917'
+    0x3fda4b4127dea1e4,     0xbfed2cb220e0ef9f,     //  0.41084,  -0.91171'
+    0x3fd9ef7943a8ed8a,     0xbfed4134d14dc93a,     //  0.40524,  -0.91421'
+    0x3fd993716141bdfe,     0xbfed556f52e93eb1,     //  0.39962,  -0.91668'
+    0x3fd9372a63bc93d7,     0xbfed696173c9e68b,     //  0.39399,  -0.91911'
+    0x3fd8daa52ec8a4af,     0xbfed7d0b02b8ecf9,     //  0.38835,  -0.92151'
+    0x3fd87de2a6aea963,     0xbfed906bcf328d46,     //  0.38268,  -0.92388'
+    0x3fd820e3b04eaac4,     0xbfeda383a9668988,     //  0.37701,  -0.92621'
+    0x3fd7c3a9311dcce7,     0xbfedb6526238a09b,     //  0.37132,  -0.92851'
+    0x3fd766340f2418f6,     0xbfedc8d7cb410260,     //  0.36561,  -0.93077'
+    0x3fd7088530fa459e,     0xbfeddb13b6ccc23d,     //   0.3599,  -0.93299'
+    0x3fd6aa9d7dc77e16,     0xbfeded05f7de47da,     //  0.35416,  -0.93518'
+    0x3fd64c7ddd3f27c6,     0xbfedfeae622dbe2b,     //  0.34842,  -0.93734'
+    0x3fd5ee27379ea693,     0xbfee100cca2980ac,     //  0.34266,  -0.93946'
+    0x3fd58f9a75ab1fdd,     0xbfee212104f686e5,     //  0.33689,  -0.94154'
+    0x3fd530d880af3c24,     0xbfee31eae870ce25,     //  0.33111,  -0.94359'
+    0x3fd4d1e24278e76a,     0xbfee426a4b2bc17e,     //  0.32531,  -0.94561'
+    0x3fd472b8a5571054,     0xbfee529f04729ffc,     //   0.3195,  -0.94759'
+    0x3fd4135c94176602,     0xbfee6288ec48e112,     //  0.31368,  -0.94953'
+    0x3fd3b3cefa0414b7,     0xbfee7227db6a9744,     //  0.30785,  -0.95144'
+    0x3fd35410c2e18152,     0xbfee817bab4cd10d,     //  0.30201,  -0.95331'
+    0x3fd2f422daec0386,     0xbfee9084361df7f3,     //  0.29615,  -0.95514'
+    0x3fd294062ed59f05,     0xbfee9f4156c62dda,     //  0.29028,  -0.95694'
+    0x3fd233bbabc3bb72,     0xbfeeadb2e8e7a88e,     //  0.28441,   -0.9587'
+    0x3fd1d3443f4cdb3d,     0xbfeebbd8c8df0b74,     //  0.27852,  -0.96043'
+    0x3fd172a0d7765177,     0xbfeec9b2d3c3bf84,     //  0.27262,  -0.96212'
+    0x3fd111d262b1f677,     0xbfeed740e7684963,     //  0.26671,  -0.96378'
+    0x3fd0b0d9cfdbdb90,     0xbfeee482e25a9dbc,     //  0.26079,  -0.96539'
+    0x3fd04fb80e37fdae,     0xbfeef178a3e473c2,     //  0.25487,  -0.96698'
+    0x3fcfdcdc1adfedf8,     0xbfeefe220c0b95ec,     //  0.24893,  -0.96852'
+    0x3fcf19f97b215f1a,     0xbfef0a7efb9230d7,     //  0.24298,  -0.97003'
+    0x3fce56ca1e101a1b,     0xbfef168f53f7205d,     //  0.23702,   -0.9715'
+    0x3fcd934fe5454311,     0xbfef2252f7763ada,     //  0.23106,  -0.97294'
+    0x3fcccf8cb312b286,     0xbfef2dc9c9089a9d,     //  0.22508,  -0.97434'
+    0x3fcc0b826a7e4f63,     0xbfef38f3ac64e589,     //   0.2191,   -0.9757'
+    0x3fcb4732ef3d6722,     0xbfef43d085ff92dd,     //  0.21311,  -0.97703'
+    0x3fca82a025b00451,     0xbfef4e603b0b2f2d,     //  0.20711,  -0.97832'
+    0x3fc9bdcbf2dc4366,     0xbfef58a2b1789e84,     //   0.2011,  -0.97957'
+    0x3fc8f8b83c69a60a,     0xbfef6297cff75cb0,     //  0.19509,  -0.98079'
+    0x3fc83366e89c64c5,     0xbfef6c3f7df5bbb7,     //  0.18907,  -0.98196'
+    0x3fc76dd9de50bf31,     0xbfef7599a3a12077,     //  0.18304,  -0.98311'
+    0x3fc6a81304f64ab2,     0xbfef7ea629e63d6e,     //    0.177,  -0.98421'
+    0x3fc5e214448b3fc6,     0xbfef8764fa714ba9,     //  0.17096,  -0.98528'
+    0x3fc51bdf8597c5f2,     0xbfef8fd5ffae41db,     //  0.16491,  -0.98631'
+    0x3fc45576b1293e5a,     0xbfef97f924c9099b,     //  0.15886,   -0.9873'
+    0x3fc38edbb0cd8d14,     0xbfef9fce55adb2c8,     //   0.1528,  -0.98826'
+    0x3fc2c8106e8e613a,     0xbfefa7557f08a517,     //  0.14673,  -0.98918'
+    0x3fc20116d4ec7bce,     0xbfefae8e8e46cfbb,     //  0.14066,  -0.99006'
+    0x3fc139f0cedaf576,     0xbfefb5797195d741,     //  0.13458,   -0.9909'
+    0x3fc072a047ba831d,     0xbfefbc1617e44186,     //   0.1285,  -0.99171'
+    0x3fbf564e56a9730e,     0xbfefc26470e19fd3,     //  0.12241,  -0.99248'
+    0x3fbdc70ecbae9fc8,     0xbfefc8646cfeb721,     //  0.11632,  -0.99321'
+    0x3fbc3785c79ec2d5,     0xbfefce15fd6da67b,     //  0.11022,  -0.99391'
+    0x3fbaa7b724495c04,     0xbfefd37914220b84,     //  0.10412,  -0.99456'
+    0x3fb917a6bc29b42c,     0xbfefd88da3d12526,     // 0.098017,  -0.99518'
+    0x3fb787586a5d5b21,     0xbfefdd539ff1f456,     // 0.091909,  -0.99577'
+    0x3fb5f6d00a9aa419,     0xbfefe1cafcbd5b09,     // 0.085797,  -0.99631'
+    0x3fb4661179272096,     0xbfefe5f3af2e3940,     // 0.079682,  -0.99682'
+    0x3fb2d52092ce19f6,     0xbfefe9cdad01883a,     // 0.073565,  -0.99729'
+    0x3fb1440134d709b2,     0xbfefed58ecb673c4,     // 0.067444,  -0.99772'
+    0x3faf656e79f820e0,     0xbfeff095658e71ad,     // 0.061321,  -0.99812'
+    0x3fac428d12c0d7e3,     0xbfeff3830f8d575c,     // 0.055195,  -0.99848'
+    0x3fa91f65f10dd814,     0xbfeff621e3796d7e,     // 0.049068,   -0.9988'
+    0x3fa5fc00d290cd43,     0xbfeff871dadb81df,     // 0.042938,  -0.99908'
+    0x3fa2d865759455cd,     0xbfeffa72effef75d,     // 0.036807,  -0.99932'
+    0x3f9f693731d1cf01,     0xbfeffc251df1d3f8,     // 0.030675,  -0.99953'
+    0x3f992155f7a3667e,     0xbfeffd886084cd0d,     // 0.024541,   -0.9997'
+    0x3f92d936bbe30efd,     0xbfeffe9cb44b51a1,     // 0.018407,  -0.99983'
+    0x3f8921d1fcdec784,     0xbfefff62169b92db,     // 0.012272,  -0.99992'
+    0x3f7921f0fe670071,     0xbfefffd8858e8a92,     //0.0061359,  -0.99998'
+};
+    
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_2048)
+const uint64_t twiddleCoefF64_rfft_2048[2048] = {
+    0x0000000000000000,     0x3ff0000000000000,     //        0,         1
+    0x3f6921f8becca4ba,     0x3feffff621621d02,     // 0.003068,         1
+    0x3f7921f0fe670071,     0x3fefffd8858e8a92,     //0.0061359,   0.99998
+    0x3f82d96b0e509703,     0x3fefffa72c978c4f,     //0.0092038,   0.99996
+    0x3f8921d1fcdec784,     0x3fefff62169b92db,     // 0.012272,   0.99992
+    0x3f8f6a296ab997ca,     0x3fefff0943c53bd1,     // 0.015339,   0.99988
+    0x3f92d936bbe30efd,     0x3feffe9cb44b51a1,     // 0.018407,   0.99983
+    0x3f95fd4d21fab226,     0x3feffe1c6870cb77,     // 0.021474,   0.99977
+    0x3f992155f7a3667e,     0x3feffd886084cd0d,     // 0.024541,    0.9997
+    0x3f9c454f4ce53b1c,     0x3feffce09ce2a679,     // 0.027608,   0.99962
+    0x3f9f693731d1cf01,     0x3feffc251df1d3f8,     // 0.030675,   0.99953
+    0x3fa14685db42c17e,     0x3feffb55e425fdae,     // 0.033741,   0.99943
+    0x3fa2d865759455cd,     0x3feffa72effef75d,     // 0.036807,   0.99932
+    0x3fa46a396ff86179,     0x3feff97c4208c014,     // 0.039873,    0.9992
+    0x3fa5fc00d290cd43,     0x3feff871dadb81df,     // 0.042938,   0.99908
+    0x3fa78dbaa5874685,     0x3feff753bb1b9164,     // 0.046003,   0.99894
+    0x3fa91f65f10dd814,     0x3feff621e3796d7e,     // 0.049068,    0.9988
+    0x3faab101bd5f8317,     0x3feff4dc54b1bed3,     // 0.052132,   0.99864
+    0x3fac428d12c0d7e3,     0x3feff3830f8d575c,     // 0.055195,   0.99848
+    0x3fadd406f9808ec8,     0x3feff21614e131ed,     // 0.058258,    0.9983
+    0x3faf656e79f820e0,     0x3feff095658e71ad,     // 0.061321,   0.99812
+    0x3fb07b614e463064,     0x3fefef0102826191,     // 0.064383,   0.99793
+    0x3fb1440134d709b2,     0x3fefed58ecb673c4,     // 0.067444,   0.99772
+    0x3fb20c9674ed444c,     0x3fefeb9d2530410f,     // 0.070505,   0.99751
+    0x3fb2d52092ce19f6,     0x3fefe9cdad01883a,     // 0.073565,   0.99729
+    0x3fb39d9f12c5a299,     0x3fefe7ea85482d60,     // 0.076624,   0.99706
+    0x3fb4661179272096,     0x3fefe5f3af2e3940,     // 0.079682,   0.99682
+    0x3fb52e774a4d4d0a,     0x3fefe3e92be9d886,     //  0.08274,   0.99657
+    0x3fb5f6d00a9aa419,     0x3fefe1cafcbd5b09,     // 0.085797,   0.99631
+    0x3fb6bf1b3e79b129,     0x3fefdf9922f73307,     // 0.088854,   0.99604
+    0x3fb787586a5d5b21,     0x3fefdd539ff1f456,     // 0.091909,   0.99577
+    0x3fb84f8712c130a0,     0x3fefdafa7514538c,     // 0.094963,   0.99548
+    0x3fb917a6bc29b42c,     0x3fefd88da3d12526,     // 0.098017,   0.99518
+    0x3fb9dfb6eb24a85c,     0x3fefd60d2da75c9e,     //  0.10107,   0.99488
+    0x3fbaa7b724495c04,     0x3fefd37914220b84,     //  0.10412,   0.99456
+    0x3fbb6fa6ec38f64c,     0x3fefd0d158d86087,     //  0.10717,   0.99424
+    0x3fbc3785c79ec2d5,     0x3fefce15fd6da67b,     //  0.11022,   0.99391
+    0x3fbcff533b307dc1,     0x3fefcb4703914354,     //  0.11327,   0.99356
+    0x3fbdc70ecbae9fc8,     0x3fefc8646cfeb721,     //  0.11632,   0.99321
+    0x3fbe8eb7fde4aa3e,     0x3fefc56e3b7d9af6,     //  0.11937,   0.99285
+    0x3fbf564e56a9730e,     0x3fefc26470e19fd3,     //  0.12241,   0.99248
+    0x3fc00ee8ad6fb85b,     0x3fefbf470f0a8d88,     //  0.12545,    0.9921
+    0x3fc072a047ba831d,     0x3fefbc1617e44186,     //   0.1285,   0.99171
+    0x3fc0d64dbcb26786,     0x3fefb8d18d66adb7,     //  0.13154,   0.99131
+    0x3fc139f0cedaf576,     0x3fefb5797195d741,     //  0.13458,    0.9909
+    0x3fc19d8940be24e7,     0x3fefb20dc681d54d,     //  0.13762,   0.99049
+    0x3fc20116d4ec7bce,     0x3fefae8e8e46cfbb,     //  0.14066,   0.99006
+    0x3fc264994dfd340a,     0x3fefaafbcb0cfddc,     //   0.1437,   0.98962
+    0x3fc2c8106e8e613a,     0x3fefa7557f08a517,     //  0.14673,   0.98918
+    0x3fc32b7bf94516a7,     0x3fefa39bac7a1791,     //  0.14976,   0.98872
+    0x3fc38edbb0cd8d14,     0x3fef9fce55adb2c8,     //   0.1528,   0.98826
+    0x3fc3f22f57db4893,     0x3fef9bed7cfbde29,     //  0.15583,   0.98778
+    0x3fc45576b1293e5a,     0x3fef97f924c9099b,     //  0.15886,    0.9873
+    0x3fc4b8b17f79fa88,     0x3fef93f14f85ac08,     //  0.16189,   0.98681
+    0x3fc51bdf8597c5f2,     0x3fef8fd5ffae41db,     //  0.16491,   0.98631
+    0x3fc57f008654cbde,     0x3fef8ba737cb4b78,     //  0.16794,    0.9858
+    0x3fc5e214448b3fc6,     0x3fef8764fa714ba9,     //  0.17096,   0.98528
+    0x3fc6451a831d830d,     0x3fef830f4a40c60c,     //  0.17398,   0.98475
+    0x3fc6a81304f64ab2,     0x3fef7ea629e63d6e,     //    0.177,   0.98421
+    0x3fc70afd8d08c4ff,     0x3fef7a299c1a322a,     //  0.18002,   0.98366
+    0x3fc76dd9de50bf31,     0x3fef7599a3a12077,     //  0.18304,   0.98311
+    0x3fc7d0a7bbd2cb1b,     0x3fef70f6434b7eb7,     //  0.18606,   0.98254
+    0x3fc83366e89c64c5,     0x3fef6c3f7df5bbb7,     //  0.18907,   0.98196
+    0x3fc8961727c41804,     0x3fef677556883cee,     //  0.19208,   0.98138
+    0x3fc8f8b83c69a60a,     0x3fef6297cff75cb0,     //  0.19509,   0.98079
+    0x3fc95b49e9b62af9,     0x3fef5da6ed43685d,     //   0.1981,   0.98018
+    0x3fc9bdcbf2dc4366,     0x3fef58a2b1789e84,     //   0.2011,   0.97957
+    0x3fca203e1b1831da,     0x3fef538b1faf2d07,     //  0.20411,   0.97895
+    0x3fca82a025b00451,     0x3fef4e603b0b2f2d,     //  0.20711,   0.97832
+    0x3fcae4f1d5f3b9ab,     0x3fef492206bcabb4,     //  0.21011,   0.97768
+    0x3fcb4732ef3d6722,     0x3fef43d085ff92dd,     //  0.21311,   0.97703
+    0x3fcba96334f15dad,     0x3fef3e6bbc1bbc65,     //  0.21611,   0.97637
+    0x3fcc0b826a7e4f63,     0x3fef38f3ac64e589,     //   0.2191,    0.9757
+    0x3fcc6d90535d74dc,     0x3fef33685a3aaef0,     //  0.22209,   0.97503
+    0x3fcccf8cb312b286,     0x3fef2dc9c9089a9d,     //  0.22508,   0.97434
+    0x3fcd31774d2cbdee,     0x3fef2817fc4609ce,     //  0.22807,   0.97364
+    0x3fcd934fe5454311,     0x3fef2252f7763ada,     //  0.23106,   0.97294
+    0x3fcdf5163f01099a,     0x3fef1c7abe284708,     //  0.23404,   0.97223
+    0x3fce56ca1e101a1b,     0x3fef168f53f7205d,     //  0.23702,    0.9715
+    0x3fceb86b462de348,     0x3fef1090bc898f5f,     //     0.24,   0.97077
+    0x3fcf19f97b215f1a,     0x3fef0a7efb9230d7,     //  0.24298,   0.97003
+    0x3fcf7b7480bd3801,     0x3fef045a14cf738c,     //  0.24596,   0.96928
+    0x3fcfdcdc1adfedf8,     0x3feefe220c0b95ec,     //  0.24893,   0.96852
+    0x3fd01f1806b9fdd2,     0x3feef7d6e51ca3c0,     //   0.2519,   0.96775
+    0x3fd04fb80e37fdae,     0x3feef178a3e473c2,     //  0.25487,   0.96698
+    0x3fd0804e05eb661e,     0x3feeeb074c50a544,     //  0.25783,   0.96619
+    0x3fd0b0d9cfdbdb90,     0x3feee482e25a9dbc,     //  0.26079,   0.96539
+    0x3fd0e15b4e1749cd,     0x3feeddeb6a078651,     //  0.26375,   0.96459
+    0x3fd111d262b1f677,     0x3feed740e7684963,     //  0.26671,   0.96378
+    0x3fd1423eefc69378,     0x3feed0835e999009,     //  0.26967,   0.96295
+    0x3fd172a0d7765177,     0x3feec9b2d3c3bf84,     //  0.27262,   0.96212
+    0x3fd1a2f7fbe8f243,     0x3feec2cf4b1af6b2,     //  0.27557,   0.96128
+    0x3fd1d3443f4cdb3d,     0x3feebbd8c8df0b74,     //  0.27852,   0.96043
+    0x3fd2038583d727bd,     0x3feeb4cf515b8811,     //  0.28146,   0.95957
+    0x3fd233bbabc3bb72,     0x3feeadb2e8e7a88e,     //  0.28441,    0.9587
+    0x3fd263e6995554ba,     0x3feea68393e65800,     //  0.28735,   0.95783
+    0x3fd294062ed59f05,     0x3fee9f4156c62dda,     //  0.29028,   0.95694
+    0x3fd2c41a4e954520,     0x3fee97ec36016b30,     //  0.29322,   0.95605
+    0x3fd2f422daec0386,     0x3fee9084361df7f3,     //  0.29615,   0.95514
+    0x3fd3241fb638baaf,     0x3fee89095bad6025,     //  0.29908,   0.95423
+    0x3fd35410c2e18152,     0x3fee817bab4cd10d,     //  0.30201,   0.95331
+    0x3fd383f5e353b6aa,     0x3fee79db29a5165a,     //  0.30493,   0.95238
+    0x3fd3b3cefa0414b7,     0x3fee7227db6a9744,     //  0.30785,   0.95144
+    0x3fd3e39be96ec271,     0x3fee6a61c55d53a7,     //  0.31077,   0.95049
+    0x3fd4135c94176602,     0x3fee6288ec48e112,     //  0.31368,   0.94953
+    0x3fd44310dc8936f0,     0x3fee5a9d550467d3,     //  0.31659,   0.94856
+    0x3fd472b8a5571054,     0x3fee529f04729ffc,     //   0.3195,   0.94759
+    0x3fd4a253d11b82f3,     0x3fee4a8dff81ce5e,     //  0.32241,    0.9466
+    0x3fd4d1e24278e76a,     0x3fee426a4b2bc17e,     //  0.32531,   0.94561
+    0x3fd50163dc197047,     0x3fee3a33ec75ce85,     //  0.32821,    0.9446
+    0x3fd530d880af3c24,     0x3fee31eae870ce25,     //  0.33111,   0.94359
+    0x3fd5604012f467b4,     0x3fee298f4439197a,     //    0.334,   0.94257
+    0x3fd58f9a75ab1fdd,     0x3fee212104f686e5,     //  0.33689,   0.94154
+    0x3fd5bee78b9db3b6,     0x3fee18a02fdc66d9,     //  0.33978,   0.94051
+    0x3fd5ee27379ea693,     0x3fee100cca2980ac,     //  0.34266,   0.93946
+    0x3fd61d595c88c203,     0x3fee0766d9280f54,     //  0.34554,    0.9384
+    0x3fd64c7ddd3f27c6,     0x3fedfeae622dbe2b,     //  0.34842,   0.93734
+    0x3fd67b949cad63ca,     0x3fedf5e36a9ba59c,     //  0.35129,   0.93627
+    0x3fd6aa9d7dc77e16,     0x3feded05f7de47da,     //  0.35416,   0.93518
+    0x3fd6d998638a0cb5,     0x3fede4160f6d8d81,     //  0.35703,   0.93409
+    0x3fd7088530fa459e,     0x3feddb13b6ccc23d,     //   0.3599,   0.93299
+    0x3fd73763c9261092,     0x3fedd1fef38a915a,     //  0.36276,   0.93188
+    0x3fd766340f2418f6,     0x3fedc8d7cb410260,     //  0.36561,   0.93077
+    0x3fd794f5e613dfae,     0x3fedbf9e4395759a,     //  0.36847,   0.92964
+    0x3fd7c3a9311dcce7,     0x3fedb6526238a09b,     //  0.37132,   0.92851
+    0x3fd7f24dd37341e3,     0x3fedacf42ce68ab9,     //  0.37416,   0.92736
+    0x3fd820e3b04eaac4,     0x3feda383a9668988,     //  0.37701,   0.92621
+    0x3fd84f6aaaf3903f,     0x3fed9a00dd8b3d46,     //  0.37985,   0.92505
+    0x3fd87de2a6aea963,     0x3fed906bcf328d46,     //  0.38268,   0.92388
+    0x3fd8ac4b86d5ed44,     0x3fed86c48445a450,     //  0.38552,    0.9227
+    0x3fd8daa52ec8a4af,     0x3fed7d0b02b8ecf9,     //  0.38835,   0.92151
+    0x3fd908ef81ef7bd1,     0x3fed733f508c0dff,     //  0.39117,   0.92032
+    0x3fd9372a63bc93d7,     0x3fed696173c9e68b,     //  0.39399,   0.91911
+    0x3fd96555b7ab948f,     0x3fed5f7172888a7f,     //  0.39681,    0.9179
+    0x3fd993716141bdfe,     0x3fed556f52e93eb1,     //  0.39962,   0.91668
+    0x3fd9c17d440df9f2,     0x3fed4b5b1b187524,     //  0.40243,   0.91545
+    0x3fd9ef7943a8ed8a,     0x3fed4134d14dc93a,     //  0.40524,   0.91421
+    0x3fda1d6543b50ac0,     0x3fed36fc7bcbfbdc,     //  0.40804,   0.91296
+    0x3fda4b4127dea1e4,     0x3fed2cb220e0ef9f,     //  0.41084,   0.91171
+    0x3fda790cd3dbf31a,     0x3fed2255c6e5a4e1,     //  0.41364,   0.91044
+    0x3fdaa6c82b6d3fc9,     0x3fed17e7743e35dc,     //  0.41643,   0.90917
+    0x3fdad473125cdc08,     0x3fed0d672f59d2b9,     //  0.41922,   0.90789
+    0x3fdb020d6c7f4009,     0x3fed02d4feb2bd92,     //    0.422,    0.9066
+    0x3fdb2f971db31972,     0x3fecf830e8ce467b,     //  0.42478,    0.9053
+    0x3fdb5d1009e15cc0,     0x3feced7af43cc773,     //  0.42756,   0.90399
+    0x3fdb8a7814fd5693,     0x3fece2b32799a060,     //  0.43033,   0.90267
+    0x3fdbb7cf2304bd01,     0x3fecd7d9898b32f6,     //  0.43309,   0.90135
+    0x3fdbe51517ffc0d9,     0x3fecccee20c2de9f,     //  0.43586,   0.90002
+    0x3fdc1249d8011ee7,     0x3fecc1f0f3fcfc5c,     //  0.43862,   0.89867
+    0x3fdc3f6d47263129,     0x3fecb6e20a00da99,     //  0.44137,   0.89732
+    0x3fdc6c7f4997000a,     0x3fecabc169a0b901,     //  0.44412,   0.89597
+    0x3fdc997fc3865388,     0x3feca08f19b9c449,     //  0.44687,    0.8946
+    0x3fdcc66e9931c45d,     0x3fec954b213411f5,     //  0.44961,   0.89322
+    0x3fdcf34baee1cd21,     0x3fec89f587029c13,     //  0.45235,   0.89184
+    0x3fdd2016e8e9db5b,     0x3fec7e8e52233cf3,     //  0.45508,   0.89045
+    0x3fdd4cd02ba8609c,     0x3fec7315899eaad7,     //  0.45781,   0.88905
+    0x3fdd79775b86e389,     0x3fec678b3488739b,     //  0.46054,   0.88764
+    0x3fdda60c5cfa10d8,     0x3fec5bef59fef85a,     //  0.46326,   0.88622
+    0x3fddd28f1481cc58,     0x3fec5042012b6907,     //  0.46598,    0.8848
+    0x3fddfeff66a941de,     0x3fec44833141c004,     //  0.46869,   0.88336
+    0x3fde2b5d3806f63b,     0x3fec38b2f180bdb1,     //   0.4714,   0.88192
+    0x3fde57a86d3cd824,     0x3fec2cd14931e3f1,     //   0.4741,   0.88047
+    0x3fde83e0eaf85113,     0x3fec20de3fa971b0,     //   0.4768,   0.87901
+    0x3fdeb00695f25620,     0x3fec14d9dc465e58,     //  0.47949,   0.87755
+    0x3fdedc1952ef78d5,     0x3fec08c426725549,     //  0.48218,   0.87607
+    0x3fdf081906bff7fd,     0x3febfc9d25a1b147,     //  0.48487,   0.87459
+    0x3fdf3405963fd068,     0x3febf064e15377dd,     //  0.48755,   0.87309
+    0x3fdf5fdee656cda3,     0x3febe41b611154c1,     //  0.49023,    0.8716
+    0x3fdf8ba4dbf89aba,     0x3febd7c0ac6f952a,     //   0.4929,   0.87009
+    0x3fdfb7575c24d2de,     0x3febcb54cb0d2327,     //  0.49557,   0.86857
+    0x3fdfe2f64be7120f,     0x3febbed7c49380ea,     //  0.49823,   0.86705
+    0x3fe00740c82b82e0,     0x3febb249a0b6c40d,     //  0.50089,   0.86551
+    0x3fe01cfc874c3eb7,     0x3feba5aa673590d2,     //  0.50354,   0.86397
+    0x3fe032ae55edbd95,     0x3feb98fa1fd9155e,     //  0.50619,   0.86242
+    0x3fe0485626ae221a,     0x3feb8c38d27504e9,     //  0.50883,   0.86087
+    0x3fe05df3ec31b8b6,     0x3feb7f6686e792ea,     //  0.51147,    0.8593
+    0x3fe073879922ffed,     0x3feb728345196e3e,     //   0.5141,   0.85773
+    0x3fe089112032b08c,     0x3feb658f14fdbc47,     //  0.51673,   0.85615
+    0x3fe09e907417c5e1,     0x3feb5889fe921405,     //  0.51936,   0.85456
+    0x3fe0b405878f85ec,     0x3feb4b7409de7925,     //  0.52198,   0.85296
+    0x3fe0c9704d5d898f,     0x3feb3e4d3ef55712,     //  0.52459,   0.85136
+    0x3fe0ded0b84bc4b5,     0x3feb3115a5f37bf4,     //   0.5272,   0.84974
+    0x3fe0f426bb2a8e7d,     0x3feb23cd470013b4,     //   0.5298,   0.84812
+    0x3fe1097248d0a956,     0x3feb16742a4ca2f5,     //   0.5324,   0.84649
+    0x3fe11eb3541b4b22,     0x3feb090a58150200,     //    0.535,   0.84485
+    0x3fe133e9cfee254e,     0x3feafb8fd89f57b6,     //  0.53759,   0.84321
+    0x3fe14915af336ceb,     0x3feaee04b43c1474,     //  0.54017,   0.84155
+    0x3fe15e36e4dbe2bc,     0x3feae068f345ecef,     //  0.54275,   0.83989
+    0x3fe1734d63dedb49,     0x3fead2bc9e21d511,     //  0.54532,   0.83822
+    0x3fe188591f3a46e5,     0x3feac4ffbd3efac8,     //  0.54789,   0.83655
+    0x3fe19d5a09f2b9b8,     0x3feab7325916c0d4,     //  0.55046,   0.83486
+    0x3fe1b250171373be,     0x3feaa9547a2cb98e,     //  0.55302,   0.83317
+    0x3fe1c73b39ae68c8,     0x3fea9b66290ea1a3,     //  0.55557,   0.83147
+    0x3fe1dc1b64dc4872,     0x3fea8d676e545ad2,     //  0.55812,   0.82976
+    0x3fe1f0f08bbc861b,     0x3fea7f58529fe69d,     //  0.56066,   0.82805
+    0x3fe205baa17560d6,     0x3fea7138de9d60f5,     //   0.5632,   0.82632
+    0x3fe21a799933eb58,     0x3fea63091b02fae2,     //  0.56573,   0.82459
+    0x3fe22f2d662c13e1,     0x3fea54c91090f524,     //  0.56826,   0.82285
+    0x3fe243d5fb98ac1f,     0x3fea4678c8119ac8,     //  0.57078,    0.8211
+    0x3fe258734cbb7110,     0x3fea38184a593bc6,     //   0.5733,   0.81935
+    0x3fe26d054cdd12df,     0x3fea29a7a0462782,     //  0.57581,   0.81758
+    0x3fe2818bef4d3cba,     0x3fea1b26d2c0a75e,     //  0.57831,   0.81581
+    0x3fe2960727629ca8,     0x3fea0c95eabaf937,     //  0.58081,   0.81404
+    0x3fe2aa76e87aeb58,     0x3fe9fdf4f13149de,     //  0.58331,   0.81225
+    0x3fe2bedb25faf3ea,     0x3fe9ef43ef29af94,     //   0.5858,   0.81046
+    0x3fe2d333d34e9bb7,     0x3fe9e082edb42472,     //  0.58828,   0.80866
+    0x3fe2e780e3e8ea16,     0x3fe9d1b1f5ea80d6,     //  0.59076,   0.80685
+    0x3fe2fbc24b441015,     0x3fe9c2d110f075c3,     //  0.59323,   0.80503
+    0x3fe30ff7fce17035,     0x3fe9b3e047f38741,     //   0.5957,   0.80321
+    0x3fe32421ec49a620,     0x3fe9a4dfa42b06b2,     //  0.59816,   0.80138
+    0x3fe338400d0c8e57,     0x3fe995cf2ed80d22,     //  0.60062,   0.79954
+    0x3fe34c5252c14de1,     0x3fe986aef1457594,     //  0.60307,   0.79769
+    0x3fe36058b10659f3,     0x3fe9777ef4c7d742,     //  0.60551,   0.79584
+    0x3fe374531b817f8d,     0x3fe9683f42bd7fe1,     //  0.60795,   0.79398
+    0x3fe3884185dfeb22,     0x3fe958efe48e6dd7,     //  0.61038,   0.79211
+    0x3fe39c23e3d63029,     0x3fe94990e3ac4a6c,     //  0.61281,   0.79023
+    0x3fe3affa292050b9,     0x3fe93a22499263fc,     //  0.61523,   0.78835
+    0x3fe3c3c44981c517,     0x3fe92aa41fc5a815,     //  0.61765,   0.78646
+    0x3fe3d78238c58343,     0x3fe91b166fd49da2,     //  0.62006,   0.78456
+    0x3fe3eb33eabe0680,     0x3fe90b7943575efe,     //  0.62246,   0.78265
+    0x3fe3fed9534556d4,     0x3fe8fbcca3ef940d,     //  0.62486,   0.78074
+    0x3fe41272663d108c,     0x3fe8ec109b486c49,     //  0.62725,   0.77882
+    0x3fe425ff178e6bb1,     0x3fe8dc45331698cc,     //  0.62964,   0.77689
+    0x3fe4397f5b2a4380,     0x3fe8cc6a75184655,     //  0.63202,   0.77495
+    0x3fe44cf325091dd6,     0x3fe8bc806b151741,     //  0.63439,   0.77301
+    0x3fe4605a692b32a2,     0x3fe8ac871ede1d88,     //  0.63676,   0.77106
+    0x3fe473b51b987347,     0x3fe89c7e9a4dd4ab,     //  0.63912,    0.7691
+    0x3fe48703306091fe,     0x3fe88c66e7481ba1,     //  0.64148,   0.76714
+    0x3fe49a449b9b0938,     0x3fe87c400fba2ebf,     //  0.64383,   0.76517
+    0x3fe4ad79516722f0,     0x3fe86c0a1d9aa195,     //  0.64618,   0.76319
+    0x3fe4c0a145ec0004,     0x3fe85bc51ae958cc,     //  0.64851,    0.7612
+    0x3fe4d3bc6d589f80,     0x3fe84b7111af83f9,     //  0.65085,   0.75921
+    0x3fe4e6cabbe3e5e9,     0x3fe83b0e0bff976e,     //  0.65317,   0.75721
+    0x3fe4f9cc25cca486,     0x3fe82a9c13f545ff,     //  0.65549,    0.7552
+    0x3fe50cc09f59a09b,     0x3fe81a1b33b57acc,     //  0.65781,   0.75319
+    0x3fe51fa81cd99aa6,     0x3fe8098b756e52fa,     //  0.66011,   0.75117
+    0x3fe5328292a35596,     0x3fe7f8ece3571771,     //  0.66242,   0.74914
+    0x3fe5454ff5159dfb,     0x3fe7e83f87b03686,     //  0.66471,    0.7471
+    0x3fe5581038975137,     0x3fe7d7836cc33db2,     //    0.667,   0.74506
+    0x3fe56ac35197649e,     0x3fe7c6b89ce2d333,     //  0.66928,   0.74301
+    0x3fe57d69348cec9f,     0x3fe7b5df226aafb0,     //  0.67156,   0.74095
+    0x3fe59001d5f723df,     0x3fe7a4f707bf97d2,     //  0.67383,   0.73889
+    0x3fe5a28d2a5d7250,     0x3fe79400574f55e4,     //  0.67609,   0.73682
+    0x3fe5b50b264f7448,     0x3fe782fb1b90b35b,     //  0.67835,   0.73474
+    0x3fe5c77bbe65018c,     0x3fe771e75f037261,     //   0.6806,   0.73265
+    0x3fe5d9dee73e345c,     0x3fe760c52c304764,     //  0.68285,   0.73056
+    0x3fe5ec3495837074,     0x3fe74f948da8d28d,     //  0.68508,   0.72846
+    0x3fe5fe7cbde56a0f,     0x3fe73e558e079942,     //  0.68732,   0.72636
+    0x3fe610b7551d2cde,     0x3fe72d0837efff97,     //  0.68954,   0.72425
+    0x3fe622e44fec22ff,     0x3fe71bac960e41bf,     //  0.69176,   0.72213
+    0x3fe63503a31c1be8,     0x3fe70a42b3176d7a,     //  0.69397,      0.72
+    0x3fe64715437f535b,     0x3fe6f8ca99c95b75,     //  0.69618,   0.71787
+    0x3fe6591925f0783e,     0x3fe6e74454eaa8ae,     //  0.69838,   0.71573
+    0x3fe66b0f3f52b386,     0x3fe6d5afef4aafcc,     //  0.70057,   0.71358
+    0x3fe67cf78491af10,     0x3fe6c40d73c18275,     //  0.70275,   0.71143
+    0x3fe68ed1eaa19c71,     0x3fe6b25ced2fe29c,     //  0.70493,   0.70927
+    0x3fe6a09e667f3bcc,     0x3fe6a09e667f3bcc,     //  0.70711,   0.70711
+    0x3fe6b25ced2fe29c,     0x3fe68ed1eaa19c71,     //  0.70927,   0.70493
+    0x3fe6c40d73c18275,     0x3fe67cf78491af10,     //  0.71143,   0.70275
+    0x3fe6d5afef4aafcc,     0x3fe66b0f3f52b386,     //  0.71358,   0.70057
+    0x3fe6e74454eaa8ae,     0x3fe6591925f0783e,     //  0.71573,   0.69838
+    0x3fe6f8ca99c95b75,     0x3fe64715437f535b,     //  0.71787,   0.69618
+    0x3fe70a42b3176d7a,     0x3fe63503a31c1be8,     //     0.72,   0.69397
+    0x3fe71bac960e41bf,     0x3fe622e44fec22ff,     //  0.72213,   0.69176
+    0x3fe72d0837efff97,     0x3fe610b7551d2cde,     //  0.72425,   0.68954
+    0x3fe73e558e079942,     0x3fe5fe7cbde56a0f,     //  0.72636,   0.68732
+    0x3fe74f948da8d28d,     0x3fe5ec3495837074,     //  0.72846,   0.68508
+    0x3fe760c52c304764,     0x3fe5d9dee73e345c,     //  0.73056,   0.68285
+    0x3fe771e75f037261,     0x3fe5c77bbe65018c,     //  0.73265,    0.6806
+    0x3fe782fb1b90b35b,     0x3fe5b50b264f7448,     //  0.73474,   0.67835
+    0x3fe79400574f55e4,     0x3fe5a28d2a5d7250,     //  0.73682,   0.67609
+    0x3fe7a4f707bf97d2,     0x3fe59001d5f723df,     //  0.73889,   0.67383
+    0x3fe7b5df226aafb0,     0x3fe57d69348cec9f,     //  0.74095,   0.67156
+    0x3fe7c6b89ce2d333,     0x3fe56ac35197649e,     //  0.74301,   0.66928
+    0x3fe7d7836cc33db2,     0x3fe5581038975137,     //  0.74506,     0.667
+    0x3fe7e83f87b03686,     0x3fe5454ff5159dfb,     //   0.7471,   0.66471
+    0x3fe7f8ece3571771,     0x3fe5328292a35596,     //  0.74914,   0.66242
+    0x3fe8098b756e52fa,     0x3fe51fa81cd99aa6,     //  0.75117,   0.66011
+    0x3fe81a1b33b57acc,     0x3fe50cc09f59a09b,     //  0.75319,   0.65781
+    0x3fe82a9c13f545ff,     0x3fe4f9cc25cca486,     //   0.7552,   0.65549
+    0x3fe83b0e0bff976e,     0x3fe4e6cabbe3e5e9,     //  0.75721,   0.65317
+    0x3fe84b7111af83f9,     0x3fe4d3bc6d589f80,     //  0.75921,   0.65085
+    0x3fe85bc51ae958cc,     0x3fe4c0a145ec0004,     //   0.7612,   0.64851
+    0x3fe86c0a1d9aa195,     0x3fe4ad79516722f0,     //  0.76319,   0.64618
+    0x3fe87c400fba2ebf,     0x3fe49a449b9b0938,     //  0.76517,   0.64383
+    0x3fe88c66e7481ba1,     0x3fe48703306091fe,     //  0.76714,   0.64148
+    0x3fe89c7e9a4dd4ab,     0x3fe473b51b987347,     //   0.7691,   0.63912
+    0x3fe8ac871ede1d88,     0x3fe4605a692b32a2,     //  0.77106,   0.63676
+    0x3fe8bc806b151741,     0x3fe44cf325091dd6,     //  0.77301,   0.63439
+    0x3fe8cc6a75184655,     0x3fe4397f5b2a4380,     //  0.77495,   0.63202
+    0x3fe8dc45331698cc,     0x3fe425ff178e6bb1,     //  0.77689,   0.62964
+    0x3fe8ec109b486c49,     0x3fe41272663d108c,     //  0.77882,   0.62725
+    0x3fe8fbcca3ef940d,     0x3fe3fed9534556d4,     //  0.78074,   0.62486
+    0x3fe90b7943575efe,     0x3fe3eb33eabe0680,     //  0.78265,   0.62246
+    0x3fe91b166fd49da2,     0x3fe3d78238c58343,     //  0.78456,   0.62006
+    0x3fe92aa41fc5a815,     0x3fe3c3c44981c517,     //  0.78646,   0.61765
+    0x3fe93a22499263fc,     0x3fe3affa292050b9,     //  0.78835,   0.61523
+    0x3fe94990e3ac4a6c,     0x3fe39c23e3d63029,     //  0.79023,   0.61281
+    0x3fe958efe48e6dd7,     0x3fe3884185dfeb22,     //  0.79211,   0.61038
+    0x3fe9683f42bd7fe1,     0x3fe374531b817f8d,     //  0.79398,   0.60795
+    0x3fe9777ef4c7d742,     0x3fe36058b10659f3,     //  0.79584,   0.60551
+    0x3fe986aef1457594,     0x3fe34c5252c14de1,     //  0.79769,   0.60307
+    0x3fe995cf2ed80d22,     0x3fe338400d0c8e57,     //  0.79954,   0.60062
+    0x3fe9a4dfa42b06b2,     0x3fe32421ec49a620,     //  0.80138,   0.59816
+    0x3fe9b3e047f38741,     0x3fe30ff7fce17035,     //  0.80321,    0.5957
+    0x3fe9c2d110f075c3,     0x3fe2fbc24b441015,     //  0.80503,   0.59323
+    0x3fe9d1b1f5ea80d6,     0x3fe2e780e3e8ea16,     //  0.80685,   0.59076
+    0x3fe9e082edb42472,     0x3fe2d333d34e9bb7,     //  0.80866,   0.58828
+    0x3fe9ef43ef29af94,     0x3fe2bedb25faf3ea,     //  0.81046,    0.5858
+    0x3fe9fdf4f13149de,     0x3fe2aa76e87aeb58,     //  0.81225,   0.58331
+    0x3fea0c95eabaf937,     0x3fe2960727629ca8,     //  0.81404,   0.58081
+    0x3fea1b26d2c0a75e,     0x3fe2818bef4d3cba,     //  0.81581,   0.57831
+    0x3fea29a7a0462782,     0x3fe26d054cdd12df,     //  0.81758,   0.57581
+    0x3fea38184a593bc6,     0x3fe258734cbb7110,     //  0.81935,    0.5733
+    0x3fea4678c8119ac8,     0x3fe243d5fb98ac1f,     //   0.8211,   0.57078
+    0x3fea54c91090f524,     0x3fe22f2d662c13e1,     //  0.82285,   0.56826
+    0x3fea63091b02fae2,     0x3fe21a799933eb58,     //  0.82459,   0.56573
+    0x3fea7138de9d60f5,     0x3fe205baa17560d6,     //  0.82632,    0.5632
+    0x3fea7f58529fe69d,     0x3fe1f0f08bbc861b,     //  0.82805,   0.56066
+    0x3fea8d676e545ad2,     0x3fe1dc1b64dc4872,     //  0.82976,   0.55812
+    0x3fea9b66290ea1a3,     0x3fe1c73b39ae68c8,     //  0.83147,   0.55557
+    0x3feaa9547a2cb98e,     0x3fe1b250171373be,     //  0.83317,   0.55302
+    0x3feab7325916c0d4,     0x3fe19d5a09f2b9b8,     //  0.83486,   0.55046
+    0x3feac4ffbd3efac8,     0x3fe188591f3a46e5,     //  0.83655,   0.54789
+    0x3fead2bc9e21d511,     0x3fe1734d63dedb49,     //  0.83822,   0.54532
+    0x3feae068f345ecef,     0x3fe15e36e4dbe2bc,     //  0.83989,   0.54275
+    0x3feaee04b43c1474,     0x3fe14915af336ceb,     //  0.84155,   0.54017
+    0x3feafb8fd89f57b6,     0x3fe133e9cfee254e,     //  0.84321,   0.53759
+    0x3feb090a58150200,     0x3fe11eb3541b4b22,     //  0.84485,     0.535
+    0x3feb16742a4ca2f5,     0x3fe1097248d0a956,     //  0.84649,    0.5324
+    0x3feb23cd470013b4,     0x3fe0f426bb2a8e7d,     //  0.84812,    0.5298
+    0x3feb3115a5f37bf4,     0x3fe0ded0b84bc4b5,     //  0.84974,    0.5272
+    0x3feb3e4d3ef55712,     0x3fe0c9704d5d898f,     //  0.85136,   0.52459
+    0x3feb4b7409de7925,     0x3fe0b405878f85ec,     //  0.85296,   0.52198
+    0x3feb5889fe921405,     0x3fe09e907417c5e1,     //  0.85456,   0.51936
+    0x3feb658f14fdbc47,     0x3fe089112032b08c,     //  0.85615,   0.51673
+    0x3feb728345196e3e,     0x3fe073879922ffed,     //  0.85773,    0.5141
+    0x3feb7f6686e792ea,     0x3fe05df3ec31b8b6,     //   0.8593,   0.51147
+    0x3feb8c38d27504e9,     0x3fe0485626ae221a,     //  0.86087,   0.50883
+    0x3feb98fa1fd9155e,     0x3fe032ae55edbd95,     //  0.86242,   0.50619
+    0x3feba5aa673590d2,     0x3fe01cfc874c3eb7,     //  0.86397,   0.50354
+    0x3febb249a0b6c40d,     0x3fe00740c82b82e0,     //  0.86551,   0.50089
+    0x3febbed7c49380ea,     0x3fdfe2f64be7120f,     //  0.86705,   0.49823
+    0x3febcb54cb0d2327,     0x3fdfb7575c24d2de,     //  0.86857,   0.49557
+    0x3febd7c0ac6f952a,     0x3fdf8ba4dbf89aba,     //  0.87009,    0.4929
+    0x3febe41b611154c1,     0x3fdf5fdee656cda3,     //   0.8716,   0.49023
+    0x3febf064e15377dd,     0x3fdf3405963fd068,     //  0.87309,   0.48755
+    0x3febfc9d25a1b147,     0x3fdf081906bff7fd,     //  0.87459,   0.48487
+    0x3fec08c426725549,     0x3fdedc1952ef78d5,     //  0.87607,   0.48218
+    0x3fec14d9dc465e58,     0x3fdeb00695f25620,     //  0.87755,   0.47949
+    0x3fec20de3fa971b0,     0x3fde83e0eaf85113,     //  0.87901,    0.4768
+    0x3fec2cd14931e3f1,     0x3fde57a86d3cd824,     //  0.88047,    0.4741
+    0x3fec38b2f180bdb1,     0x3fde2b5d3806f63b,     //  0.88192,    0.4714
+    0x3fec44833141c004,     0x3fddfeff66a941de,     //  0.88336,   0.46869
+    0x3fec5042012b6907,     0x3fddd28f1481cc58,     //   0.8848,   0.46598
+    0x3fec5bef59fef85a,     0x3fdda60c5cfa10d8,     //  0.88622,   0.46326
+    0x3fec678b3488739b,     0x3fdd79775b86e389,     //  0.88764,   0.46054
+    0x3fec7315899eaad7,     0x3fdd4cd02ba8609c,     //  0.88905,   0.45781
+    0x3fec7e8e52233cf3,     0x3fdd2016e8e9db5b,     //  0.89045,   0.45508
+    0x3fec89f587029c13,     0x3fdcf34baee1cd21,     //  0.89184,   0.45235
+    0x3fec954b213411f5,     0x3fdcc66e9931c45d,     //  0.89322,   0.44961
+    0x3feca08f19b9c449,     0x3fdc997fc3865388,     //   0.8946,   0.44687
+    0x3fecabc169a0b901,     0x3fdc6c7f4997000a,     //  0.89597,   0.44412
+    0x3fecb6e20a00da99,     0x3fdc3f6d47263129,     //  0.89732,   0.44137
+    0x3fecc1f0f3fcfc5c,     0x3fdc1249d8011ee7,     //  0.89867,   0.43862
+    0x3fecccee20c2de9f,     0x3fdbe51517ffc0d9,     //  0.90002,   0.43586
+    0x3fecd7d9898b32f6,     0x3fdbb7cf2304bd01,     //  0.90135,   0.43309
+    0x3fece2b32799a060,     0x3fdb8a7814fd5693,     //  0.90267,   0.43033
+    0x3feced7af43cc773,     0x3fdb5d1009e15cc0,     //  0.90399,   0.42756
+    0x3fecf830e8ce467b,     0x3fdb2f971db31972,     //   0.9053,   0.42478
+    0x3fed02d4feb2bd92,     0x3fdb020d6c7f4009,     //   0.9066,     0.422
+    0x3fed0d672f59d2b9,     0x3fdad473125cdc08,     //  0.90789,   0.41922
+    0x3fed17e7743e35dc,     0x3fdaa6c82b6d3fc9,     //  0.90917,   0.41643
+    0x3fed2255c6e5a4e1,     0x3fda790cd3dbf31a,     //  0.91044,   0.41364
+    0x3fed2cb220e0ef9f,     0x3fda4b4127dea1e4,     //  0.91171,   0.41084
+    0x3fed36fc7bcbfbdc,     0x3fda1d6543b50ac0,     //  0.91296,   0.40804
+    0x3fed4134d14dc93a,     0x3fd9ef7943a8ed8a,     //  0.91421,   0.40524
+    0x3fed4b5b1b187524,     0x3fd9c17d440df9f2,     //  0.91545,   0.40243
+    0x3fed556f52e93eb1,     0x3fd993716141bdfe,     //  0.91668,   0.39962
+    0x3fed5f7172888a7f,     0x3fd96555b7ab948f,     //   0.9179,   0.39681
+    0x3fed696173c9e68b,     0x3fd9372a63bc93d7,     //  0.91911,   0.39399
+    0x3fed733f508c0dff,     0x3fd908ef81ef7bd1,     //  0.92032,   0.39117
+    0x3fed7d0b02b8ecf9,     0x3fd8daa52ec8a4af,     //  0.92151,   0.38835
+    0x3fed86c48445a450,     0x3fd8ac4b86d5ed44,     //   0.9227,   0.38552
+    0x3fed906bcf328d46,     0x3fd87de2a6aea963,     //  0.92388,   0.38268
+    0x3fed9a00dd8b3d46,     0x3fd84f6aaaf3903f,     //  0.92505,   0.37985
+    0x3feda383a9668988,     0x3fd820e3b04eaac4,     //  0.92621,   0.37701
+    0x3fedacf42ce68ab9,     0x3fd7f24dd37341e3,     //  0.92736,   0.37416
+    0x3fedb6526238a09b,     0x3fd7c3a9311dcce7,     //  0.92851,   0.37132
+    0x3fedbf9e4395759a,     0x3fd794f5e613dfae,     //  0.92964,   0.36847
+    0x3fedc8d7cb410260,     0x3fd766340f2418f6,     //  0.93077,   0.36561
+    0x3fedd1fef38a915a,     0x3fd73763c9261092,     //  0.93188,   0.36276
+    0x3feddb13b6ccc23d,     0x3fd7088530fa459e,     //  0.93299,    0.3599
+    0x3fede4160f6d8d81,     0x3fd6d998638a0cb5,     //  0.93409,   0.35703
+    0x3feded05f7de47da,     0x3fd6aa9d7dc77e16,     //  0.93518,   0.35416
+    0x3fedf5e36a9ba59c,     0x3fd67b949cad63ca,     //  0.93627,   0.35129
+    0x3fedfeae622dbe2b,     0x3fd64c7ddd3f27c6,     //  0.93734,   0.34842
+    0x3fee0766d9280f54,     0x3fd61d595c88c203,     //   0.9384,   0.34554
+    0x3fee100cca2980ac,     0x3fd5ee27379ea693,     //  0.93946,   0.34266
+    0x3fee18a02fdc66d9,     0x3fd5bee78b9db3b6,     //  0.94051,   0.33978
+    0x3fee212104f686e5,     0x3fd58f9a75ab1fdd,     //  0.94154,   0.33689
+    0x3fee298f4439197a,     0x3fd5604012f467b4,     //  0.94257,     0.334
+    0x3fee31eae870ce25,     0x3fd530d880af3c24,     //  0.94359,   0.33111
+    0x3fee3a33ec75ce85,     0x3fd50163dc197047,     //   0.9446,   0.32821
+    0x3fee426a4b2bc17e,     0x3fd4d1e24278e76a,     //  0.94561,   0.32531
+    0x3fee4a8dff81ce5e,     0x3fd4a253d11b82f3,     //   0.9466,   0.32241
+    0x3fee529f04729ffc,     0x3fd472b8a5571054,     //  0.94759,    0.3195
+    0x3fee5a9d550467d3,     0x3fd44310dc8936f0,     //  0.94856,   0.31659
+    0x3fee6288ec48e112,     0x3fd4135c94176602,     //  0.94953,   0.31368
+    0x3fee6a61c55d53a7,     0x3fd3e39be96ec271,     //  0.95049,   0.31077
+    0x3fee7227db6a9744,     0x3fd3b3cefa0414b7,     //  0.95144,   0.30785
+    0x3fee79db29a5165a,     0x3fd383f5e353b6aa,     //  0.95238,   0.30493
+    0x3fee817bab4cd10d,     0x3fd35410c2e18152,     //  0.95331,   0.30201
+    0x3fee89095bad6025,     0x3fd3241fb638baaf,     //  0.95423,   0.29908
+    0x3fee9084361df7f3,     0x3fd2f422daec0386,     //  0.95514,   0.29615
+    0x3fee97ec36016b30,     0x3fd2c41a4e954520,     //  0.95605,   0.29322
+    0x3fee9f4156c62dda,     0x3fd294062ed59f05,     //  0.95694,   0.29028
+    0x3feea68393e65800,     0x3fd263e6995554ba,     //  0.95783,   0.28735
+    0x3feeadb2e8e7a88e,     0x3fd233bbabc3bb72,     //   0.9587,   0.28441
+    0x3feeb4cf515b8811,     0x3fd2038583d727bd,     //  0.95957,   0.28146
+    0x3feebbd8c8df0b74,     0x3fd1d3443f4cdb3d,     //  0.96043,   0.27852
+    0x3feec2cf4b1af6b2,     0x3fd1a2f7fbe8f243,     //  0.96128,   0.27557
+    0x3feec9b2d3c3bf84,     0x3fd172a0d7765177,     //  0.96212,   0.27262
+    0x3feed0835e999009,     0x3fd1423eefc69378,     //  0.96295,   0.26967
+    0x3feed740e7684963,     0x3fd111d262b1f677,     //  0.96378,   0.26671
+    0x3feeddeb6a078651,     0x3fd0e15b4e1749cd,     //  0.96459,   0.26375
+    0x3feee482e25a9dbc,     0x3fd0b0d9cfdbdb90,     //  0.96539,   0.26079
+    0x3feeeb074c50a544,     0x3fd0804e05eb661e,     //  0.96619,   0.25783
+    0x3feef178a3e473c2,     0x3fd04fb80e37fdae,     //  0.96698,   0.25487
+    0x3feef7d6e51ca3c0,     0x3fd01f1806b9fdd2,     //  0.96775,    0.2519
+    0x3feefe220c0b95ec,     0x3fcfdcdc1adfedf8,     //  0.96852,   0.24893
+    0x3fef045a14cf738c,     0x3fcf7b7480bd3801,     //  0.96928,   0.24596
+    0x3fef0a7efb9230d7,     0x3fcf19f97b215f1a,     //  0.97003,   0.24298
+    0x3fef1090bc898f5f,     0x3fceb86b462de348,     //  0.97077,      0.24
+    0x3fef168f53f7205d,     0x3fce56ca1e101a1b,     //   0.9715,   0.23702
+    0x3fef1c7abe284708,     0x3fcdf5163f01099a,     //  0.97223,   0.23404
+    0x3fef2252f7763ada,     0x3fcd934fe5454311,     //  0.97294,   0.23106
+    0x3fef2817fc4609ce,     0x3fcd31774d2cbdee,     //  0.97364,   0.22807
+    0x3fef2dc9c9089a9d,     0x3fcccf8cb312b286,     //  0.97434,   0.22508
+    0x3fef33685a3aaef0,     0x3fcc6d90535d74dc,     //  0.97503,   0.22209
+    0x3fef38f3ac64e589,     0x3fcc0b826a7e4f63,     //   0.9757,    0.2191
+    0x3fef3e6bbc1bbc65,     0x3fcba96334f15dad,     //  0.97637,   0.21611
+    0x3fef43d085ff92dd,     0x3fcb4732ef3d6722,     //  0.97703,   0.21311
+    0x3fef492206bcabb4,     0x3fcae4f1d5f3b9ab,     //  0.97768,   0.21011
+    0x3fef4e603b0b2f2d,     0x3fca82a025b00451,     //  0.97832,   0.20711
+    0x3fef538b1faf2d07,     0x3fca203e1b1831da,     //  0.97895,   0.20411
+    0x3fef58a2b1789e84,     0x3fc9bdcbf2dc4366,     //  0.97957,    0.2011
+    0x3fef5da6ed43685d,     0x3fc95b49e9b62af9,     //  0.98018,    0.1981
+    0x3fef6297cff75cb0,     0x3fc8f8b83c69a60a,     //  0.98079,   0.19509
+    0x3fef677556883cee,     0x3fc8961727c41804,     //  0.98138,   0.19208
+    0x3fef6c3f7df5bbb7,     0x3fc83366e89c64c5,     //  0.98196,   0.18907
+    0x3fef70f6434b7eb7,     0x3fc7d0a7bbd2cb1b,     //  0.98254,   0.18606
+    0x3fef7599a3a12077,     0x3fc76dd9de50bf31,     //  0.98311,   0.18304
+    0x3fef7a299c1a322a,     0x3fc70afd8d08c4ff,     //  0.98366,   0.18002
+    0x3fef7ea629e63d6e,     0x3fc6a81304f64ab2,     //  0.98421,     0.177
+    0x3fef830f4a40c60c,     0x3fc6451a831d830d,     //  0.98475,   0.17398
+    0x3fef8764fa714ba9,     0x3fc5e214448b3fc6,     //  0.98528,   0.17096
+    0x3fef8ba737cb4b78,     0x3fc57f008654cbde,     //   0.9858,   0.16794
+    0x3fef8fd5ffae41db,     0x3fc51bdf8597c5f2,     //  0.98631,   0.16491
+    0x3fef93f14f85ac08,     0x3fc4b8b17f79fa88,     //  0.98681,   0.16189
+    0x3fef97f924c9099b,     0x3fc45576b1293e5a,     //   0.9873,   0.15886
+    0x3fef9bed7cfbde29,     0x3fc3f22f57db4893,     //  0.98778,   0.15583
+    0x3fef9fce55adb2c8,     0x3fc38edbb0cd8d14,     //  0.98826,    0.1528
+    0x3fefa39bac7a1791,     0x3fc32b7bf94516a7,     //  0.98872,   0.14976
+    0x3fefa7557f08a517,     0x3fc2c8106e8e613a,     //  0.98918,   0.14673
+    0x3fefaafbcb0cfddc,     0x3fc264994dfd340a,     //  0.98962,    0.1437
+    0x3fefae8e8e46cfbb,     0x3fc20116d4ec7bce,     //  0.99006,   0.14066
+    0x3fefb20dc681d54d,     0x3fc19d8940be24e7,     //  0.99049,   0.13762
+    0x3fefb5797195d741,     0x3fc139f0cedaf576,     //   0.9909,   0.13458
+    0x3fefb8d18d66adb7,     0x3fc0d64dbcb26786,     //  0.99131,   0.13154
+    0x3fefbc1617e44186,     0x3fc072a047ba831d,     //  0.99171,    0.1285
+    0x3fefbf470f0a8d88,     0x3fc00ee8ad6fb85b,     //   0.9921,   0.12545
+    0x3fefc26470e19fd3,     0x3fbf564e56a9730e,     //  0.99248,   0.12241
+    0x3fefc56e3b7d9af6,     0x3fbe8eb7fde4aa3e,     //  0.99285,   0.11937
+    0x3fefc8646cfeb721,     0x3fbdc70ecbae9fc8,     //  0.99321,   0.11632
+    0x3fefcb4703914354,     0x3fbcff533b307dc1,     //  0.99356,   0.11327
+    0x3fefce15fd6da67b,     0x3fbc3785c79ec2d5,     //  0.99391,   0.11022
+    0x3fefd0d158d86087,     0x3fbb6fa6ec38f64c,     //  0.99424,   0.10717
+    0x3fefd37914220b84,     0x3fbaa7b724495c04,     //  0.99456,   0.10412
+    0x3fefd60d2da75c9e,     0x3fb9dfb6eb24a85c,     //  0.99488,   0.10107
+    0x3fefd88da3d12526,     0x3fb917a6bc29b42c,     //  0.99518,  0.098017
+    0x3fefdafa7514538c,     0x3fb84f8712c130a0,     //  0.99548,  0.094963
+    0x3fefdd539ff1f456,     0x3fb787586a5d5b21,     //  0.99577,  0.091909
+    0x3fefdf9922f73307,     0x3fb6bf1b3e79b129,     //  0.99604,  0.088854
+    0x3fefe1cafcbd5b09,     0x3fb5f6d00a9aa419,     //  0.99631,  0.085797
+    0x3fefe3e92be9d886,     0x3fb52e774a4d4d0a,     //  0.99657,   0.08274
+    0x3fefe5f3af2e3940,     0x3fb4661179272096,     //  0.99682,  0.079682
+    0x3fefe7ea85482d60,     0x3fb39d9f12c5a299,     //  0.99706,  0.076624
+    0x3fefe9cdad01883a,     0x3fb2d52092ce19f6,     //  0.99729,  0.073565
+    0x3fefeb9d2530410f,     0x3fb20c9674ed444c,     //  0.99751,  0.070505
+    0x3fefed58ecb673c4,     0x3fb1440134d709b2,     //  0.99772,  0.067444
+    0x3fefef0102826191,     0x3fb07b614e463064,     //  0.99793,  0.064383
+    0x3feff095658e71ad,     0x3faf656e79f820e0,     //  0.99812,  0.061321
+    0x3feff21614e131ed,     0x3fadd406f9808ec8,     //   0.9983,  0.058258
+    0x3feff3830f8d575c,     0x3fac428d12c0d7e3,     //  0.99848,  0.055195
+    0x3feff4dc54b1bed3,     0x3faab101bd5f8317,     //  0.99864,  0.052132
+    0x3feff621e3796d7e,     0x3fa91f65f10dd814,     //   0.9988,  0.049068
+    0x3feff753bb1b9164,     0x3fa78dbaa5874685,     //  0.99894,  0.046003
+    0x3feff871dadb81df,     0x3fa5fc00d290cd43,     //  0.99908,  0.042938
+    0x3feff97c4208c014,     0x3fa46a396ff86179,     //   0.9992,  0.039873
+    0x3feffa72effef75d,     0x3fa2d865759455cd,     //  0.99932,  0.036807
+    0x3feffb55e425fdae,     0x3fa14685db42c17e,     //  0.99943,  0.033741
+    0x3feffc251df1d3f8,     0x3f9f693731d1cf01,     //  0.99953,  0.030675
+    0x3feffce09ce2a679,     0x3f9c454f4ce53b1c,     //  0.99962,  0.027608
+    0x3feffd886084cd0d,     0x3f992155f7a3667e,     //   0.9997,  0.024541
+    0x3feffe1c6870cb77,     0x3f95fd4d21fab226,     //  0.99977,  0.021474
+    0x3feffe9cb44b51a1,     0x3f92d936bbe30efd,     //  0.99983,  0.018407
+    0x3fefff0943c53bd1,     0x3f8f6a296ab997ca,     //  0.99988,  0.015339
+    0x3fefff62169b92db,     0x3f8921d1fcdec784,     //  0.99992,  0.012272
+    0x3fefffa72c978c4f,     0x3f82d96b0e509703,     //  0.99996, 0.0092038
+    0x3fefffd8858e8a92,     0x3f7921f0fe670071,     //  0.99998, 0.0061359
+    0x3feffff621621d02,     0x3f6921f8becca4ba,     //        1,  0.003068
+    0x3ff0000000000000,     0x0000000000000000,     //        1,         0
+    0x3feffff621621d02,     0xbf6921f8becca4ba,     //        1, -0.003068
+    0x3fefffd8858e8a92,     0xbf7921f0fe670071,     //  0.99998,-0.0061359
+    0x3fefffa72c978c4f,     0xbf82d96b0e509703,     //  0.99996,-0.0092038
+    0x3fefff62169b92db,     0xbf8921d1fcdec784,     //  0.99992, -0.012272
+    0x3fefff0943c53bd1,     0xbf8f6a296ab997ca,     //  0.99988, -0.015339
+    0x3feffe9cb44b51a1,     0xbf92d936bbe30efd,     //  0.99983, -0.018407
+    0x3feffe1c6870cb77,     0xbf95fd4d21fab226,     //  0.99977, -0.021474
+    0x3feffd886084cd0d,     0xbf992155f7a3667e,     //   0.9997, -0.024541
+    0x3feffce09ce2a679,     0xbf9c454f4ce53b1c,     //  0.99962, -0.027608
+    0x3feffc251df1d3f8,     0xbf9f693731d1cf01,     //  0.99953, -0.030675
+    0x3feffb55e425fdae,     0xbfa14685db42c17e,     //  0.99943, -0.033741
+    0x3feffa72effef75d,     0xbfa2d865759455cd,     //  0.99932, -0.036807
+    0x3feff97c4208c014,     0xbfa46a396ff86179,     //   0.9992, -0.039873
+    0x3feff871dadb81df,     0xbfa5fc00d290cd43,     //  0.99908, -0.042938
+    0x3feff753bb1b9164,     0xbfa78dbaa5874685,     //  0.99894, -0.046003
+    0x3feff621e3796d7e,     0xbfa91f65f10dd814,     //   0.9988, -0.049068
+    0x3feff4dc54b1bed3,     0xbfaab101bd5f8317,     //  0.99864, -0.052132
+    0x3feff3830f8d575c,     0xbfac428d12c0d7e3,     //  0.99848, -0.055195
+    0x3feff21614e131ed,     0xbfadd406f9808ec8,     //   0.9983, -0.058258
+    0x3feff095658e71ad,     0xbfaf656e79f820e0,     //  0.99812, -0.061321
+    0x3fefef0102826191,     0xbfb07b614e463064,     //  0.99793, -0.064383
+    0x3fefed58ecb673c4,     0xbfb1440134d709b2,     //  0.99772, -0.067444
+    0x3fefeb9d2530410f,     0xbfb20c9674ed444c,     //  0.99751, -0.070505
+    0x3fefe9cdad01883a,     0xbfb2d52092ce19f6,     //  0.99729, -0.073565
+    0x3fefe7ea85482d60,     0xbfb39d9f12c5a299,     //  0.99706, -0.076624
+    0x3fefe5f3af2e3940,     0xbfb4661179272096,     //  0.99682, -0.079682
+    0x3fefe3e92be9d886,     0xbfb52e774a4d4d0a,     //  0.99657,  -0.08274
+    0x3fefe1cafcbd5b09,     0xbfb5f6d00a9aa419,     //  0.99631, -0.085797
+    0x3fefdf9922f73307,     0xbfb6bf1b3e79b129,     //  0.99604, -0.088854
+    0x3fefdd539ff1f456,     0xbfb787586a5d5b21,     //  0.99577, -0.091909
+    0x3fefdafa7514538c,     0xbfb84f8712c130a0,     //  0.99548, -0.094963
+    0x3fefd88da3d12526,     0xbfb917a6bc29b42c,     //  0.99518, -0.098017
+    0x3fefd60d2da75c9e,     0xbfb9dfb6eb24a85c,     //  0.99488,  -0.10107
+    0x3fefd37914220b84,     0xbfbaa7b724495c04,     //  0.99456,  -0.10412
+    0x3fefd0d158d86087,     0xbfbb6fa6ec38f64c,     //  0.99424,  -0.10717
+    0x3fefce15fd6da67b,     0xbfbc3785c79ec2d5,     //  0.99391,  -0.11022
+    0x3fefcb4703914354,     0xbfbcff533b307dc1,     //  0.99356,  -0.11327
+    0x3fefc8646cfeb721,     0xbfbdc70ecbae9fc8,     //  0.99321,  -0.11632
+    0x3fefc56e3b7d9af6,     0xbfbe8eb7fde4aa3e,     //  0.99285,  -0.11937
+    0x3fefc26470e19fd3,     0xbfbf564e56a9730e,     //  0.99248,  -0.12241
+    0x3fefbf470f0a8d88,     0xbfc00ee8ad6fb85b,     //   0.9921,  -0.12545
+    0x3fefbc1617e44186,     0xbfc072a047ba831d,     //  0.99171,   -0.1285
+    0x3fefb8d18d66adb7,     0xbfc0d64dbcb26786,     //  0.99131,  -0.13154
+    0x3fefb5797195d741,     0xbfc139f0cedaf576,     //   0.9909,  -0.13458
+    0x3fefb20dc681d54d,     0xbfc19d8940be24e7,     //  0.99049,  -0.13762
+    0x3fefae8e8e46cfbb,     0xbfc20116d4ec7bce,     //  0.99006,  -0.14066
+    0x3fefaafbcb0cfddc,     0xbfc264994dfd340a,     //  0.98962,   -0.1437
+    0x3fefa7557f08a517,     0xbfc2c8106e8e613a,     //  0.98918,  -0.14673
+    0x3fefa39bac7a1791,     0xbfc32b7bf94516a7,     //  0.98872,  -0.14976
+    0x3fef9fce55adb2c8,     0xbfc38edbb0cd8d14,     //  0.98826,   -0.1528
+    0x3fef9bed7cfbde29,     0xbfc3f22f57db4893,     //  0.98778,  -0.15583
+    0x3fef97f924c9099b,     0xbfc45576b1293e5a,     //   0.9873,  -0.15886
+    0x3fef93f14f85ac08,     0xbfc4b8b17f79fa88,     //  0.98681,  -0.16189
+    0x3fef8fd5ffae41db,     0xbfc51bdf8597c5f2,     //  0.98631,  -0.16491
+    0x3fef8ba737cb4b78,     0xbfc57f008654cbde,     //   0.9858,  -0.16794
+    0x3fef8764fa714ba9,     0xbfc5e214448b3fc6,     //  0.98528,  -0.17096
+    0x3fef830f4a40c60c,     0xbfc6451a831d830d,     //  0.98475,  -0.17398
+    0x3fef7ea629e63d6e,     0xbfc6a81304f64ab2,     //  0.98421,    -0.177
+    0x3fef7a299c1a322a,     0xbfc70afd8d08c4ff,     //  0.98366,  -0.18002
+    0x3fef7599a3a12077,     0xbfc76dd9de50bf31,     //  0.98311,  -0.18304
+    0x3fef70f6434b7eb7,     0xbfc7d0a7bbd2cb1b,     //  0.98254,  -0.18606
+    0x3fef6c3f7df5bbb7,     0xbfc83366e89c64c5,     //  0.98196,  -0.18907
+    0x3fef677556883cee,     0xbfc8961727c41804,     //  0.98138,  -0.19208
+    0x3fef6297cff75cb0,     0xbfc8f8b83c69a60a,     //  0.98079,  -0.19509
+    0x3fef5da6ed43685d,     0xbfc95b49e9b62af9,     //  0.98018,   -0.1981
+    0x3fef58a2b1789e84,     0xbfc9bdcbf2dc4366,     //  0.97957,   -0.2011
+    0x3fef538b1faf2d07,     0xbfca203e1b1831da,     //  0.97895,  -0.20411
+    0x3fef4e603b0b2f2d,     0xbfca82a025b00451,     //  0.97832,  -0.20711
+    0x3fef492206bcabb4,     0xbfcae4f1d5f3b9ab,     //  0.97768,  -0.21011
+    0x3fef43d085ff92dd,     0xbfcb4732ef3d6722,     //  0.97703,  -0.21311
+    0x3fef3e6bbc1bbc65,     0xbfcba96334f15dad,     //  0.97637,  -0.21611
+    0x3fef38f3ac64e589,     0xbfcc0b826a7e4f63,     //   0.9757,   -0.2191
+    0x3fef33685a3aaef0,     0xbfcc6d90535d74dc,     //  0.97503,  -0.22209
+    0x3fef2dc9c9089a9d,     0xbfcccf8cb312b286,     //  0.97434,  -0.22508
+    0x3fef2817fc4609ce,     0xbfcd31774d2cbdee,     //  0.97364,  -0.22807
+    0x3fef2252f7763ada,     0xbfcd934fe5454311,     //  0.97294,  -0.23106
+    0x3fef1c7abe284708,     0xbfcdf5163f01099a,     //  0.97223,  -0.23404
+    0x3fef168f53f7205d,     0xbfce56ca1e101a1b,     //   0.9715,  -0.23702
+    0x3fef1090bc898f5f,     0xbfceb86b462de348,     //  0.97077,     -0.24
+    0x3fef0a7efb9230d7,     0xbfcf19f97b215f1a,     //  0.97003,  -0.24298
+    0x3fef045a14cf738c,     0xbfcf7b7480bd3801,     //  0.96928,  -0.24596
+    0x3feefe220c0b95ec,     0xbfcfdcdc1adfedf8,     //  0.96852,  -0.24893
+    0x3feef7d6e51ca3c0,     0xbfd01f1806b9fdd2,     //  0.96775,   -0.2519
+    0x3feef178a3e473c2,     0xbfd04fb80e37fdae,     //  0.96698,  -0.25487
+    0x3feeeb074c50a544,     0xbfd0804e05eb661e,     //  0.96619,  -0.25783
+    0x3feee482e25a9dbc,     0xbfd0b0d9cfdbdb90,     //  0.96539,  -0.26079
+    0x3feeddeb6a078651,     0xbfd0e15b4e1749cd,     //  0.96459,  -0.26375
+    0x3feed740e7684963,     0xbfd111d262b1f677,     //  0.96378,  -0.26671
+    0x3feed0835e999009,     0xbfd1423eefc69378,     //  0.96295,  -0.26967
+    0x3feec9b2d3c3bf84,     0xbfd172a0d7765177,     //  0.96212,  -0.27262
+    0x3feec2cf4b1af6b2,     0xbfd1a2f7fbe8f243,     //  0.96128,  -0.27557
+    0x3feebbd8c8df0b74,     0xbfd1d3443f4cdb3d,     //  0.96043,  -0.27852
+    0x3feeb4cf515b8811,     0xbfd2038583d727bd,     //  0.95957,  -0.28146
+    0x3feeadb2e8e7a88e,     0xbfd233bbabc3bb72,     //   0.9587,  -0.28441
+    0x3feea68393e65800,     0xbfd263e6995554ba,     //  0.95783,  -0.28735
+    0x3fee9f4156c62dda,     0xbfd294062ed59f05,     //  0.95694,  -0.29028
+    0x3fee97ec36016b30,     0xbfd2c41a4e954520,     //  0.95605,  -0.29322
+    0x3fee9084361df7f3,     0xbfd2f422daec0386,     //  0.95514,  -0.29615
+    0x3fee89095bad6025,     0xbfd3241fb638baaf,     //  0.95423,  -0.29908
+    0x3fee817bab4cd10d,     0xbfd35410c2e18152,     //  0.95331,  -0.30201
+    0x3fee79db29a5165a,     0xbfd383f5e353b6aa,     //  0.95238,  -0.30493
+    0x3fee7227db6a9744,     0xbfd3b3cefa0414b7,     //  0.95144,  -0.30785
+    0x3fee6a61c55d53a7,     0xbfd3e39be96ec271,     //  0.95049,  -0.31077
+    0x3fee6288ec48e112,     0xbfd4135c94176602,     //  0.94953,  -0.31368
+    0x3fee5a9d550467d3,     0xbfd44310dc8936f0,     //  0.94856,  -0.31659
+    0x3fee529f04729ffc,     0xbfd472b8a5571054,     //  0.94759,   -0.3195
+    0x3fee4a8dff81ce5e,     0xbfd4a253d11b82f3,     //   0.9466,  -0.32241
+    0x3fee426a4b2bc17e,     0xbfd4d1e24278e76a,     //  0.94561,  -0.32531
+    0x3fee3a33ec75ce85,     0xbfd50163dc197047,     //   0.9446,  -0.32821
+    0x3fee31eae870ce25,     0xbfd530d880af3c24,     //  0.94359,  -0.33111
+    0x3fee298f4439197a,     0xbfd5604012f467b4,     //  0.94257,    -0.334
+    0x3fee212104f686e5,     0xbfd58f9a75ab1fdd,     //  0.94154,  -0.33689
+    0x3fee18a02fdc66d9,     0xbfd5bee78b9db3b6,     //  0.94051,  -0.33978
+    0x3fee100cca2980ac,     0xbfd5ee27379ea693,     //  0.93946,  -0.34266
+    0x3fee0766d9280f54,     0xbfd61d595c88c203,     //   0.9384,  -0.34554
+    0x3fedfeae622dbe2b,     0xbfd64c7ddd3f27c6,     //  0.93734,  -0.34842
+    0x3fedf5e36a9ba59c,     0xbfd67b949cad63ca,     //  0.93627,  -0.35129
+    0x3feded05f7de47da,     0xbfd6aa9d7dc77e16,     //  0.93518,  -0.35416
+    0x3fede4160f6d8d81,     0xbfd6d998638a0cb5,     //  0.93409,  -0.35703
+    0x3feddb13b6ccc23d,     0xbfd7088530fa459e,     //  0.93299,   -0.3599
+    0x3fedd1fef38a915a,     0xbfd73763c9261092,     //  0.93188,  -0.36276
+    0x3fedc8d7cb410260,     0xbfd766340f2418f6,     //  0.93077,  -0.36561
+    0x3fedbf9e4395759a,     0xbfd794f5e613dfae,     //  0.92964,  -0.36847
+    0x3fedb6526238a09b,     0xbfd7c3a9311dcce7,     //  0.92851,  -0.37132
+    0x3fedacf42ce68ab9,     0xbfd7f24dd37341e3,     //  0.92736,  -0.37416
+    0x3feda383a9668988,     0xbfd820e3b04eaac4,     //  0.92621,  -0.37701
+    0x3fed9a00dd8b3d46,     0xbfd84f6aaaf3903f,     //  0.92505,  -0.37985
+    0x3fed906bcf328d46,     0xbfd87de2a6aea963,     //  0.92388,  -0.38268
+    0x3fed86c48445a450,     0xbfd8ac4b86d5ed44,     //   0.9227,  -0.38552
+    0x3fed7d0b02b8ecf9,     0xbfd8daa52ec8a4af,     //  0.92151,  -0.38835
+    0x3fed733f508c0dff,     0xbfd908ef81ef7bd1,     //  0.92032,  -0.39117
+    0x3fed696173c9e68b,     0xbfd9372a63bc93d7,     //  0.91911,  -0.39399
+    0x3fed5f7172888a7f,     0xbfd96555b7ab948f,     //   0.9179,  -0.39681
+    0x3fed556f52e93eb1,     0xbfd993716141bdfe,     //  0.91668,  -0.39962
+    0x3fed4b5b1b187524,     0xbfd9c17d440df9f2,     //  0.91545,  -0.40243
+    0x3fed4134d14dc93a,     0xbfd9ef7943a8ed8a,     //  0.91421,  -0.40524
+    0x3fed36fc7bcbfbdc,     0xbfda1d6543b50ac0,     //  0.91296,  -0.40804
+    0x3fed2cb220e0ef9f,     0xbfda4b4127dea1e4,     //  0.91171,  -0.41084
+    0x3fed2255c6e5a4e1,     0xbfda790cd3dbf31a,     //  0.91044,  -0.41364
+    0x3fed17e7743e35dc,     0xbfdaa6c82b6d3fc9,     //  0.90917,  -0.41643
+    0x3fed0d672f59d2b9,     0xbfdad473125cdc08,     //  0.90789,  -0.41922
+    0x3fed02d4feb2bd92,     0xbfdb020d6c7f4009,     //   0.9066,    -0.422
+    0x3fecf830e8ce467b,     0xbfdb2f971db31972,     //   0.9053,  -0.42478
+    0x3feced7af43cc773,     0xbfdb5d1009e15cc0,     //  0.90399,  -0.42756
+    0x3fece2b32799a060,     0xbfdb8a7814fd5693,     //  0.90267,  -0.43033
+    0x3fecd7d9898b32f6,     0xbfdbb7cf2304bd01,     //  0.90135,  -0.43309
+    0x3fecccee20c2de9f,     0xbfdbe51517ffc0d9,     //  0.90002,  -0.43586
+    0x3fecc1f0f3fcfc5c,     0xbfdc1249d8011ee7,     //  0.89867,  -0.43862
+    0x3fecb6e20a00da99,     0xbfdc3f6d47263129,     //  0.89732,  -0.44137
+    0x3fecabc169a0b901,     0xbfdc6c7f4997000a,     //  0.89597,  -0.44412
+    0x3feca08f19b9c449,     0xbfdc997fc3865388,     //   0.8946,  -0.44687
+    0x3fec954b213411f5,     0xbfdcc66e9931c45d,     //  0.89322,  -0.44961
+    0x3fec89f587029c13,     0xbfdcf34baee1cd21,     //  0.89184,  -0.45235
+    0x3fec7e8e52233cf3,     0xbfdd2016e8e9db5b,     //  0.89045,  -0.45508
+    0x3fec7315899eaad7,     0xbfdd4cd02ba8609c,     //  0.88905,  -0.45781
+    0x3fec678b3488739b,     0xbfdd79775b86e389,     //  0.88764,  -0.46054
+    0x3fec5bef59fef85a,     0xbfdda60c5cfa10d8,     //  0.88622,  -0.46326
+    0x3fec5042012b6907,     0xbfddd28f1481cc58,     //   0.8848,  -0.46598
+    0x3fec44833141c004,     0xbfddfeff66a941de,     //  0.88336,  -0.46869
+    0x3fec38b2f180bdb1,     0xbfde2b5d3806f63b,     //  0.88192,   -0.4714
+    0x3fec2cd14931e3f1,     0xbfde57a86d3cd824,     //  0.88047,   -0.4741
+    0x3fec20de3fa971b0,     0xbfde83e0eaf85113,     //  0.87901,   -0.4768
+    0x3fec14d9dc465e58,     0xbfdeb00695f25620,     //  0.87755,  -0.47949
+    0x3fec08c426725549,     0xbfdedc1952ef78d5,     //  0.87607,  -0.48218
+    0x3febfc9d25a1b147,     0xbfdf081906bff7fd,     //  0.87459,  -0.48487
+    0x3febf064e15377dd,     0xbfdf3405963fd068,     //  0.87309,  -0.48755
+    0x3febe41b611154c1,     0xbfdf5fdee656cda3,     //   0.8716,  -0.49023
+    0x3febd7c0ac6f952a,     0xbfdf8ba4dbf89aba,     //  0.87009,   -0.4929
+    0x3febcb54cb0d2327,     0xbfdfb7575c24d2de,     //  0.86857,  -0.49557
+    0x3febbed7c49380ea,     0xbfdfe2f64be7120f,     //  0.86705,  -0.49823
+    0x3febb249a0b6c40d,     0xbfe00740c82b82e0,     //  0.86551,  -0.50089
+    0x3feba5aa673590d2,     0xbfe01cfc874c3eb7,     //  0.86397,  -0.50354
+    0x3feb98fa1fd9155e,     0xbfe032ae55edbd95,     //  0.86242,  -0.50619
+    0x3feb8c38d27504e9,     0xbfe0485626ae221a,     //  0.86087,  -0.50883
+    0x3feb7f6686e792ea,     0xbfe05df3ec31b8b6,     //   0.8593,  -0.51147
+    0x3feb728345196e3e,     0xbfe073879922ffed,     //  0.85773,   -0.5141
+    0x3feb658f14fdbc47,     0xbfe089112032b08c,     //  0.85615,  -0.51673
+    0x3feb5889fe921405,     0xbfe09e907417c5e1,     //  0.85456,  -0.51936
+    0x3feb4b7409de7925,     0xbfe0b405878f85ec,     //  0.85296,  -0.52198
+    0x3feb3e4d3ef55712,     0xbfe0c9704d5d898f,     //  0.85136,  -0.52459
+    0x3feb3115a5f37bf4,     0xbfe0ded0b84bc4b5,     //  0.84974,   -0.5272
+    0x3feb23cd470013b4,     0xbfe0f426bb2a8e7d,     //  0.84812,   -0.5298
+    0x3feb16742a4ca2f5,     0xbfe1097248d0a956,     //  0.84649,   -0.5324
+    0x3feb090a58150200,     0xbfe11eb3541b4b22,     //  0.84485,    -0.535
+    0x3feafb8fd89f57b6,     0xbfe133e9cfee254e,     //  0.84321,  -0.53759
+    0x3feaee04b43c1474,     0xbfe14915af336ceb,     //  0.84155,  -0.54017
+    0x3feae068f345ecef,     0xbfe15e36e4dbe2bc,     //  0.83989,  -0.54275
+    0x3fead2bc9e21d511,     0xbfe1734d63dedb49,     //  0.83822,  -0.54532
+    0x3feac4ffbd3efac8,     0xbfe188591f3a46e5,     //  0.83655,  -0.54789
+    0x3feab7325916c0d4,     0xbfe19d5a09f2b9b8,     //  0.83486,  -0.55046
+    0x3feaa9547a2cb98e,     0xbfe1b250171373be,     //  0.83317,  -0.55302
+    0x3fea9b66290ea1a3,     0xbfe1c73b39ae68c8,     //  0.83147,  -0.55557
+    0x3fea8d676e545ad2,     0xbfe1dc1b64dc4872,     //  0.82976,  -0.55812
+    0x3fea7f58529fe69d,     0xbfe1f0f08bbc861b,     //  0.82805,  -0.56066
+    0x3fea7138de9d60f5,     0xbfe205baa17560d6,     //  0.82632,   -0.5632
+    0x3fea63091b02fae2,     0xbfe21a799933eb58,     //  0.82459,  -0.56573
+    0x3fea54c91090f524,     0xbfe22f2d662c13e1,     //  0.82285,  -0.56826
+    0x3fea4678c8119ac8,     0xbfe243d5fb98ac1f,     //   0.8211,  -0.57078
+    0x3fea38184a593bc6,     0xbfe258734cbb7110,     //  0.81935,   -0.5733
+    0x3fea29a7a0462782,     0xbfe26d054cdd12df,     //  0.81758,  -0.57581
+    0x3fea1b26d2c0a75e,     0xbfe2818bef4d3cba,     //  0.81581,  -0.57831
+    0x3fea0c95eabaf937,     0xbfe2960727629ca8,     //  0.81404,  -0.58081
+    0x3fe9fdf4f13149de,     0xbfe2aa76e87aeb58,     //  0.81225,  -0.58331
+    0x3fe9ef43ef29af94,     0xbfe2bedb25faf3ea,     //  0.81046,   -0.5858
+    0x3fe9e082edb42472,     0xbfe2d333d34e9bb7,     //  0.80866,  -0.58828
+    0x3fe9d1b1f5ea80d6,     0xbfe2e780e3e8ea16,     //  0.80685,  -0.59076
+    0x3fe9c2d110f075c3,     0xbfe2fbc24b441015,     //  0.80503,  -0.59323
+    0x3fe9b3e047f38741,     0xbfe30ff7fce17035,     //  0.80321,   -0.5957
+    0x3fe9a4dfa42b06b2,     0xbfe32421ec49a620,     //  0.80138,  -0.59816
+    0x3fe995cf2ed80d22,     0xbfe338400d0c8e57,     //  0.79954,  -0.60062
+    0x3fe986aef1457594,     0xbfe34c5252c14de1,     //  0.79769,  -0.60307
+    0x3fe9777ef4c7d742,     0xbfe36058b10659f3,     //  0.79584,  -0.60551
+    0x3fe9683f42bd7fe1,     0xbfe374531b817f8d,     //  0.79398,  -0.60795
+    0x3fe958efe48e6dd7,     0xbfe3884185dfeb22,     //  0.79211,  -0.61038
+    0x3fe94990e3ac4a6c,     0xbfe39c23e3d63029,     //  0.79023,  -0.61281
+    0x3fe93a22499263fc,     0xbfe3affa292050b9,     //  0.78835,  -0.61523
+    0x3fe92aa41fc5a815,     0xbfe3c3c44981c517,     //  0.78646,  -0.61765
+    0x3fe91b166fd49da2,     0xbfe3d78238c58343,     //  0.78456,  -0.62006
+    0x3fe90b7943575efe,     0xbfe3eb33eabe0680,     //  0.78265,  -0.62246
+    0x3fe8fbcca3ef940d,     0xbfe3fed9534556d4,     //  0.78074,  -0.62486
+    0x3fe8ec109b486c49,     0xbfe41272663d108c,     //  0.77882,  -0.62725
+    0x3fe8dc45331698cc,     0xbfe425ff178e6bb1,     //  0.77689,  -0.62964
+    0x3fe8cc6a75184655,     0xbfe4397f5b2a4380,     //  0.77495,  -0.63202
+    0x3fe8bc806b151741,     0xbfe44cf325091dd6,     //  0.77301,  -0.63439
+    0x3fe8ac871ede1d88,     0xbfe4605a692b32a2,     //  0.77106,  -0.63676
+    0x3fe89c7e9a4dd4ab,     0xbfe473b51b987347,     //   0.7691,  -0.63912
+    0x3fe88c66e7481ba1,     0xbfe48703306091fe,     //  0.76714,  -0.64148
+    0x3fe87c400fba2ebf,     0xbfe49a449b9b0938,     //  0.76517,  -0.64383
+    0x3fe86c0a1d9aa195,     0xbfe4ad79516722f0,     //  0.76319,  -0.64618
+    0x3fe85bc51ae958cc,     0xbfe4c0a145ec0004,     //   0.7612,  -0.64851
+    0x3fe84b7111af83f9,     0xbfe4d3bc6d589f80,     //  0.75921,  -0.65085
+    0x3fe83b0e0bff976e,     0xbfe4e6cabbe3e5e9,     //  0.75721,  -0.65317
+    0x3fe82a9c13f545ff,     0xbfe4f9cc25cca486,     //   0.7552,  -0.65549
+    0x3fe81a1b33b57acc,     0xbfe50cc09f59a09b,     //  0.75319,  -0.65781
+    0x3fe8098b756e52fa,     0xbfe51fa81cd99aa6,     //  0.75117,  -0.66011
+    0x3fe7f8ece3571771,     0xbfe5328292a35596,     //  0.74914,  -0.66242
+    0x3fe7e83f87b03686,     0xbfe5454ff5159dfb,     //   0.7471,  -0.66471
+    0x3fe7d7836cc33db2,     0xbfe5581038975137,     //  0.74506,    -0.667
+    0x3fe7c6b89ce2d333,     0xbfe56ac35197649e,     //  0.74301,  -0.66928
+    0x3fe7b5df226aafb0,     0xbfe57d69348cec9f,     //  0.74095,  -0.67156
+    0x3fe7a4f707bf97d2,     0xbfe59001d5f723df,     //  0.73889,  -0.67383
+    0x3fe79400574f55e4,     0xbfe5a28d2a5d7250,     //  0.73682,  -0.67609
+    0x3fe782fb1b90b35b,     0xbfe5b50b264f7448,     //  0.73474,  -0.67835
+    0x3fe771e75f037261,     0xbfe5c77bbe65018c,     //  0.73265,   -0.6806
+    0x3fe760c52c304764,     0xbfe5d9dee73e345c,     //  0.73056,  -0.68285
+    0x3fe74f948da8d28d,     0xbfe5ec3495837074,     //  0.72846,  -0.68508
+    0x3fe73e558e079942,     0xbfe5fe7cbde56a0f,     //  0.72636,  -0.68732
+    0x3fe72d0837efff97,     0xbfe610b7551d2cde,     //  0.72425,  -0.68954
+    0x3fe71bac960e41bf,     0xbfe622e44fec22ff,     //  0.72213,  -0.69176
+    0x3fe70a42b3176d7a,     0xbfe63503a31c1be8,     //     0.72,  -0.69397
+    0x3fe6f8ca99c95b75,     0xbfe64715437f535b,     //  0.71787,  -0.69618
+    0x3fe6e74454eaa8ae,     0xbfe6591925f0783e,     //  0.71573,  -0.69838
+    0x3fe6d5afef4aafcc,     0xbfe66b0f3f52b386,     //  0.71358,  -0.70057
+    0x3fe6c40d73c18275,     0xbfe67cf78491af10,     //  0.71143,  -0.70275
+    0x3fe6b25ced2fe29c,     0xbfe68ed1eaa19c71,     //  0.70927,  -0.70493
+    0x3fe6a09e667f3bcc,     0xbfe6a09e667f3bcc,     //  0.70711,  -0.70711
+    0x3fe68ed1eaa19c71,     0xbfe6b25ced2fe29c,     //  0.70493,  -0.70927
+    0x3fe67cf78491af10,     0xbfe6c40d73c18275,     //  0.70275,  -0.71143
+    0x3fe66b0f3f52b386,     0xbfe6d5afef4aafcc,     //  0.70057,  -0.71358
+    0x3fe6591925f0783e,     0xbfe6e74454eaa8ae,     //  0.69838,  -0.71573
+    0x3fe64715437f535b,     0xbfe6f8ca99c95b75,     //  0.69618,  -0.71787
+    0x3fe63503a31c1be8,     0xbfe70a42b3176d7a,     //  0.69397,     -0.72
+    0x3fe622e44fec22ff,     0xbfe71bac960e41bf,     //  0.69176,  -0.72213
+    0x3fe610b7551d2cde,     0xbfe72d0837efff97,     //  0.68954,  -0.72425
+    0x3fe5fe7cbde56a0f,     0xbfe73e558e079942,     //  0.68732,  -0.72636
+    0x3fe5ec3495837074,     0xbfe74f948da8d28d,     //  0.68508,  -0.72846
+    0x3fe5d9dee73e345c,     0xbfe760c52c304764,     //  0.68285,  -0.73056
+    0x3fe5c77bbe65018c,     0xbfe771e75f037261,     //   0.6806,  -0.73265
+    0x3fe5b50b264f7448,     0xbfe782fb1b90b35b,     //  0.67835,  -0.73474
+    0x3fe5a28d2a5d7250,     0xbfe79400574f55e4,     //  0.67609,  -0.73682
+    0x3fe59001d5f723df,     0xbfe7a4f707bf97d2,     //  0.67383,  -0.73889
+    0x3fe57d69348cec9f,     0xbfe7b5df226aafb0,     //  0.67156,  -0.74095
+    0x3fe56ac35197649e,     0xbfe7c6b89ce2d333,     //  0.66928,  -0.74301
+    0x3fe5581038975137,     0xbfe7d7836cc33db2,     //    0.667,  -0.74506
+    0x3fe5454ff5159dfb,     0xbfe7e83f87b03686,     //  0.66471,   -0.7471
+    0x3fe5328292a35596,     0xbfe7f8ece3571771,     //  0.66242,  -0.74914
+    0x3fe51fa81cd99aa6,     0xbfe8098b756e52fa,     //  0.66011,  -0.75117
+    0x3fe50cc09f59a09b,     0xbfe81a1b33b57acc,     //  0.65781,  -0.75319
+    0x3fe4f9cc25cca486,     0xbfe82a9c13f545ff,     //  0.65549,   -0.7552
+    0x3fe4e6cabbe3e5e9,     0xbfe83b0e0bff976e,     //  0.65317,  -0.75721
+    0x3fe4d3bc6d589f80,     0xbfe84b7111af83f9,     //  0.65085,  -0.75921
+    0x3fe4c0a145ec0004,     0xbfe85bc51ae958cc,     //  0.64851,   -0.7612
+    0x3fe4ad79516722f0,     0xbfe86c0a1d9aa195,     //  0.64618,  -0.76319
+    0x3fe49a449b9b0938,     0xbfe87c400fba2ebf,     //  0.64383,  -0.76517
+    0x3fe48703306091fe,     0xbfe88c66e7481ba1,     //  0.64148,  -0.76714
+    0x3fe473b51b987347,     0xbfe89c7e9a4dd4ab,     //  0.63912,   -0.7691
+    0x3fe4605a692b32a2,     0xbfe8ac871ede1d88,     //  0.63676,  -0.77106
+    0x3fe44cf325091dd6,     0xbfe8bc806b151741,     //  0.63439,  -0.77301
+    0x3fe4397f5b2a4380,     0xbfe8cc6a75184655,     //  0.63202,  -0.77495
+    0x3fe425ff178e6bb1,     0xbfe8dc45331698cc,     //  0.62964,  -0.77689
+    0x3fe41272663d108c,     0xbfe8ec109b486c49,     //  0.62725,  -0.77882
+    0x3fe3fed9534556d4,     0xbfe8fbcca3ef940d,     //  0.62486,  -0.78074
+    0x3fe3eb33eabe0680,     0xbfe90b7943575efe,     //  0.62246,  -0.78265
+    0x3fe3d78238c58343,     0xbfe91b166fd49da2,     //  0.62006,  -0.78456
+    0x3fe3c3c44981c517,     0xbfe92aa41fc5a815,     //  0.61765,  -0.78646
+    0x3fe3affa292050b9,     0xbfe93a22499263fc,     //  0.61523,  -0.78835
+    0x3fe39c23e3d63029,     0xbfe94990e3ac4a6c,     //  0.61281,  -0.79023
+    0x3fe3884185dfeb22,     0xbfe958efe48e6dd7,     //  0.61038,  -0.79211
+    0x3fe374531b817f8d,     0xbfe9683f42bd7fe1,     //  0.60795,  -0.79398
+    0x3fe36058b10659f3,     0xbfe9777ef4c7d742,     //  0.60551,  -0.79584
+    0x3fe34c5252c14de1,     0xbfe986aef1457594,     //  0.60307,  -0.79769
+    0x3fe338400d0c8e57,     0xbfe995cf2ed80d22,     //  0.60062,  -0.79954
+    0x3fe32421ec49a620,     0xbfe9a4dfa42b06b2,     //  0.59816,  -0.80138
+    0x3fe30ff7fce17035,     0xbfe9b3e047f38741,     //   0.5957,  -0.80321
+    0x3fe2fbc24b441015,     0xbfe9c2d110f075c3,     //  0.59323,  -0.80503
+    0x3fe2e780e3e8ea16,     0xbfe9d1b1f5ea80d6,     //  0.59076,  -0.80685
+    0x3fe2d333d34e9bb7,     0xbfe9e082edb42472,     //  0.58828,  -0.80866
+    0x3fe2bedb25faf3ea,     0xbfe9ef43ef29af94,     //   0.5858,  -0.81046
+    0x3fe2aa76e87aeb58,     0xbfe9fdf4f13149de,     //  0.58331,  -0.81225
+    0x3fe2960727629ca8,     0xbfea0c95eabaf937,     //  0.58081,  -0.81404
+    0x3fe2818bef4d3cba,     0xbfea1b26d2c0a75e,     //  0.57831,  -0.81581
+    0x3fe26d054cdd12df,     0xbfea29a7a0462782,     //  0.57581,  -0.81758
+    0x3fe258734cbb7110,     0xbfea38184a593bc6,     //   0.5733,  -0.81935
+    0x3fe243d5fb98ac1f,     0xbfea4678c8119ac8,     //  0.57078,   -0.8211
+    0x3fe22f2d662c13e1,     0xbfea54c91090f524,     //  0.56826,  -0.82285
+    0x3fe21a799933eb58,     0xbfea63091b02fae2,     //  0.56573,  -0.82459
+    0x3fe205baa17560d6,     0xbfea7138de9d60f5,     //   0.5632,  -0.82632
+    0x3fe1f0f08bbc861b,     0xbfea7f58529fe69d,     //  0.56066,  -0.82805
+    0x3fe1dc1b64dc4872,     0xbfea8d676e545ad2,     //  0.55812,  -0.82976
+    0x3fe1c73b39ae68c8,     0xbfea9b66290ea1a3,     //  0.55557,  -0.83147
+    0x3fe1b250171373be,     0xbfeaa9547a2cb98e,     //  0.55302,  -0.83317
+    0x3fe19d5a09f2b9b8,     0xbfeab7325916c0d4,     //  0.55046,  -0.83486
+    0x3fe188591f3a46e5,     0xbfeac4ffbd3efac8,     //  0.54789,  -0.83655
+    0x3fe1734d63dedb49,     0xbfead2bc9e21d511,     //  0.54532,  -0.83822
+    0x3fe15e36e4dbe2bc,     0xbfeae068f345ecef,     //  0.54275,  -0.83989
+    0x3fe14915af336ceb,     0xbfeaee04b43c1474,     //  0.54017,  -0.84155
+    0x3fe133e9cfee254e,     0xbfeafb8fd89f57b6,     //  0.53759,  -0.84321
+    0x3fe11eb3541b4b22,     0xbfeb090a58150200,     //    0.535,  -0.84485
+    0x3fe1097248d0a956,     0xbfeb16742a4ca2f5,     //   0.5324,  -0.84649
+    0x3fe0f426bb2a8e7d,     0xbfeb23cd470013b4,     //   0.5298,  -0.84812
+    0x3fe0ded0b84bc4b5,     0xbfeb3115a5f37bf4,     //   0.5272,  -0.84974
+    0x3fe0c9704d5d898f,     0xbfeb3e4d3ef55712,     //  0.52459,  -0.85136
+    0x3fe0b405878f85ec,     0xbfeb4b7409de7925,     //  0.52198,  -0.85296
+    0x3fe09e907417c5e1,     0xbfeb5889fe921405,     //  0.51936,  -0.85456
+    0x3fe089112032b08c,     0xbfeb658f14fdbc47,     //  0.51673,  -0.85615
+    0x3fe073879922ffed,     0xbfeb728345196e3e,     //   0.5141,  -0.85773
+    0x3fe05df3ec31b8b6,     0xbfeb7f6686e792ea,     //  0.51147,   -0.8593
+    0x3fe0485626ae221a,     0xbfeb8c38d27504e9,     //  0.50883,  -0.86087
+    0x3fe032ae55edbd95,     0xbfeb98fa1fd9155e,     //  0.50619,  -0.86242
+    0x3fe01cfc874c3eb7,     0xbfeba5aa673590d2,     //  0.50354,  -0.86397
+    0x3fe00740c82b82e0,     0xbfebb249a0b6c40d,     //  0.50089,  -0.86551
+    0x3fdfe2f64be7120f,     0xbfebbed7c49380ea,     //  0.49823,  -0.86705
+    0x3fdfb7575c24d2de,     0xbfebcb54cb0d2327,     //  0.49557,  -0.86857
+    0x3fdf8ba4dbf89aba,     0xbfebd7c0ac6f952a,     //   0.4929,  -0.87009
+    0x3fdf5fdee656cda3,     0xbfebe41b611154c1,     //  0.49023,   -0.8716
+    0x3fdf3405963fd068,     0xbfebf064e15377dd,     //  0.48755,  -0.87309
+    0x3fdf081906bff7fd,     0xbfebfc9d25a1b147,     //  0.48487,  -0.87459
+    0x3fdedc1952ef78d5,     0xbfec08c426725549,     //  0.48218,  -0.87607
+    0x3fdeb00695f25620,     0xbfec14d9dc465e58,     //  0.47949,  -0.87755
+    0x3fde83e0eaf85113,     0xbfec20de3fa971b0,     //   0.4768,  -0.87901
+    0x3fde57a86d3cd824,     0xbfec2cd14931e3f1,     //   0.4741,  -0.88047
+    0x3fde2b5d3806f63b,     0xbfec38b2f180bdb1,     //   0.4714,  -0.88192
+    0x3fddfeff66a941de,     0xbfec44833141c004,     //  0.46869,  -0.88336
+    0x3fddd28f1481cc58,     0xbfec5042012b6907,     //  0.46598,   -0.8848
+    0x3fdda60c5cfa10d8,     0xbfec5bef59fef85a,     //  0.46326,  -0.88622
+    0x3fdd79775b86e389,     0xbfec678b3488739b,     //  0.46054,  -0.88764
+    0x3fdd4cd02ba8609c,     0xbfec7315899eaad7,     //  0.45781,  -0.88905
+    0x3fdd2016e8e9db5b,     0xbfec7e8e52233cf3,     //  0.45508,  -0.89045
+    0x3fdcf34baee1cd21,     0xbfec89f587029c13,     //  0.45235,  -0.89184
+    0x3fdcc66e9931c45d,     0xbfec954b213411f5,     //  0.44961,  -0.89322
+    0x3fdc997fc3865388,     0xbfeca08f19b9c449,     //  0.44687,   -0.8946
+    0x3fdc6c7f4997000a,     0xbfecabc169a0b901,     //  0.44412,  -0.89597
+    0x3fdc3f6d47263129,     0xbfecb6e20a00da99,     //  0.44137,  -0.89732
+    0x3fdc1249d8011ee7,     0xbfecc1f0f3fcfc5c,     //  0.43862,  -0.89867
+    0x3fdbe51517ffc0d9,     0xbfecccee20c2de9f,     //  0.43586,  -0.90002
+    0x3fdbb7cf2304bd01,     0xbfecd7d9898b32f6,     //  0.43309,  -0.90135
+    0x3fdb8a7814fd5693,     0xbfece2b32799a060,     //  0.43033,  -0.90267
+    0x3fdb5d1009e15cc0,     0xbfeced7af43cc773,     //  0.42756,  -0.90399
+    0x3fdb2f971db31972,     0xbfecf830e8ce467b,     //  0.42478,   -0.9053
+    0x3fdb020d6c7f4009,     0xbfed02d4feb2bd92,     //    0.422,   -0.9066
+    0x3fdad473125cdc08,     0xbfed0d672f59d2b9,     //  0.41922,  -0.90789
+    0x3fdaa6c82b6d3fc9,     0xbfed17e7743e35dc,     //  0.41643,  -0.90917
+    0x3fda790cd3dbf31a,     0xbfed2255c6e5a4e1,     //  0.41364,  -0.91044
+    0x3fda4b4127dea1e4,     0xbfed2cb220e0ef9f,     //  0.41084,  -0.91171
+    0x3fda1d6543b50ac0,     0xbfed36fc7bcbfbdc,     //  0.40804,  -0.91296
+    0x3fd9ef7943a8ed8a,     0xbfed4134d14dc93a,     //  0.40524,  -0.91421
+    0x3fd9c17d440df9f2,     0xbfed4b5b1b187524,     //  0.40243,  -0.91545
+    0x3fd993716141bdfe,     0xbfed556f52e93eb1,     //  0.39962,  -0.91668
+    0x3fd96555b7ab948f,     0xbfed5f7172888a7f,     //  0.39681,   -0.9179
+    0x3fd9372a63bc93d7,     0xbfed696173c9e68b,     //  0.39399,  -0.91911
+    0x3fd908ef81ef7bd1,     0xbfed733f508c0dff,     //  0.39117,  -0.92032
+    0x3fd8daa52ec8a4af,     0xbfed7d0b02b8ecf9,     //  0.38835,  -0.92151
+    0x3fd8ac4b86d5ed44,     0xbfed86c48445a450,     //  0.38552,   -0.9227
+    0x3fd87de2a6aea963,     0xbfed906bcf328d46,     //  0.38268,  -0.92388
+    0x3fd84f6aaaf3903f,     0xbfed9a00dd8b3d46,     //  0.37985,  -0.92505
+    0x3fd820e3b04eaac4,     0xbfeda383a9668988,     //  0.37701,  -0.92621
+    0x3fd7f24dd37341e3,     0xbfedacf42ce68ab9,     //  0.37416,  -0.92736
+    0x3fd7c3a9311dcce7,     0xbfedb6526238a09b,     //  0.37132,  -0.92851
+    0x3fd794f5e613dfae,     0xbfedbf9e4395759a,     //  0.36847,  -0.92964
+    0x3fd766340f2418f6,     0xbfedc8d7cb410260,     //  0.36561,  -0.93077
+    0x3fd73763c9261092,     0xbfedd1fef38a915a,     //  0.36276,  -0.93188
+    0x3fd7088530fa459e,     0xbfeddb13b6ccc23d,     //   0.3599,  -0.93299
+    0x3fd6d998638a0cb5,     0xbfede4160f6d8d81,     //  0.35703,  -0.93409
+    0x3fd6aa9d7dc77e16,     0xbfeded05f7de47da,     //  0.35416,  -0.93518
+    0x3fd67b949cad63ca,     0xbfedf5e36a9ba59c,     //  0.35129,  -0.93627
+    0x3fd64c7ddd3f27c6,     0xbfedfeae622dbe2b,     //  0.34842,  -0.93734
+    0x3fd61d595c88c203,     0xbfee0766d9280f54,     //  0.34554,   -0.9384
+    0x3fd5ee27379ea693,     0xbfee100cca2980ac,     //  0.34266,  -0.93946
+    0x3fd5bee78b9db3b6,     0xbfee18a02fdc66d9,     //  0.33978,  -0.94051
+    0x3fd58f9a75ab1fdd,     0xbfee212104f686e5,     //  0.33689,  -0.94154
+    0x3fd5604012f467b4,     0xbfee298f4439197a,     //    0.334,  -0.94257
+    0x3fd530d880af3c24,     0xbfee31eae870ce25,     //  0.33111,  -0.94359
+    0x3fd50163dc197047,     0xbfee3a33ec75ce85,     //  0.32821,   -0.9446
+    0x3fd4d1e24278e76a,     0xbfee426a4b2bc17e,     //  0.32531,  -0.94561
+    0x3fd4a253d11b82f3,     0xbfee4a8dff81ce5e,     //  0.32241,   -0.9466
+    0x3fd472b8a5571054,     0xbfee529f04729ffc,     //   0.3195,  -0.94759
+    0x3fd44310dc8936f0,     0xbfee5a9d550467d3,     //  0.31659,  -0.94856
+    0x3fd4135c94176602,     0xbfee6288ec48e112,     //  0.31368,  -0.94953
+    0x3fd3e39be96ec271,     0xbfee6a61c55d53a7,     //  0.31077,  -0.95049
+    0x3fd3b3cefa0414b7,     0xbfee7227db6a9744,     //  0.30785,  -0.95144
+    0x3fd383f5e353b6aa,     0xbfee79db29a5165a,     //  0.30493,  -0.95238
+    0x3fd35410c2e18152,     0xbfee817bab4cd10d,     //  0.30201,  -0.95331
+    0x3fd3241fb638baaf,     0xbfee89095bad6025,     //  0.29908,  -0.95423
+    0x3fd2f422daec0386,     0xbfee9084361df7f3,     //  0.29615,  -0.95514
+    0x3fd2c41a4e954520,     0xbfee97ec36016b30,     //  0.29322,  -0.95605
+    0x3fd294062ed59f05,     0xbfee9f4156c62dda,     //  0.29028,  -0.95694
+    0x3fd263e6995554ba,     0xbfeea68393e65800,     //  0.28735,  -0.95783
+    0x3fd233bbabc3bb72,     0xbfeeadb2e8e7a88e,     //  0.28441,   -0.9587
+    0x3fd2038583d727bd,     0xbfeeb4cf515b8811,     //  0.28146,  -0.95957
+    0x3fd1d3443f4cdb3d,     0xbfeebbd8c8df0b74,     //  0.27852,  -0.96043
+    0x3fd1a2f7fbe8f243,     0xbfeec2cf4b1af6b2,     //  0.27557,  -0.96128
+    0x3fd172a0d7765177,     0xbfeec9b2d3c3bf84,     //  0.27262,  -0.96212
+    0x3fd1423eefc69378,     0xbfeed0835e999009,     //  0.26967,  -0.96295
+    0x3fd111d262b1f677,     0xbfeed740e7684963,     //  0.26671,  -0.96378
+    0x3fd0e15b4e1749cd,     0xbfeeddeb6a078651,     //  0.26375,  -0.96459
+    0x3fd0b0d9cfdbdb90,     0xbfeee482e25a9dbc,     //  0.26079,  -0.96539
+    0x3fd0804e05eb661e,     0xbfeeeb074c50a544,     //  0.25783,  -0.96619
+    0x3fd04fb80e37fdae,     0xbfeef178a3e473c2,     //  0.25487,  -0.96698
+    0x3fd01f1806b9fdd2,     0xbfeef7d6e51ca3c0,     //   0.2519,  -0.96775
+    0x3fcfdcdc1adfedf8,     0xbfeefe220c0b95ec,     //  0.24893,  -0.96852
+    0x3fcf7b7480bd3801,     0xbfef045a14cf738c,     //  0.24596,  -0.96928
+    0x3fcf19f97b215f1a,     0xbfef0a7efb9230d7,     //  0.24298,  -0.97003
+    0x3fceb86b462de348,     0xbfef1090bc898f5f,     //     0.24,  -0.97077
+    0x3fce56ca1e101a1b,     0xbfef168f53f7205d,     //  0.23702,   -0.9715
+    0x3fcdf5163f01099a,     0xbfef1c7abe284708,     //  0.23404,  -0.97223
+    0x3fcd934fe5454311,     0xbfef2252f7763ada,     //  0.23106,  -0.97294
+    0x3fcd31774d2cbdee,     0xbfef2817fc4609ce,     //  0.22807,  -0.97364
+    0x3fcccf8cb312b286,     0xbfef2dc9c9089a9d,     //  0.22508,  -0.97434
+    0x3fcc6d90535d74dc,     0xbfef33685a3aaef0,     //  0.22209,  -0.97503
+    0x3fcc0b826a7e4f63,     0xbfef38f3ac64e589,     //   0.2191,   -0.9757
+    0x3fcba96334f15dad,     0xbfef3e6bbc1bbc65,     //  0.21611,  -0.97637
+    0x3fcb4732ef3d6722,     0xbfef43d085ff92dd,     //  0.21311,  -0.97703
+    0x3fcae4f1d5f3b9ab,     0xbfef492206bcabb4,     //  0.21011,  -0.97768
+    0x3fca82a025b00451,     0xbfef4e603b0b2f2d,     //  0.20711,  -0.97832
+    0x3fca203e1b1831da,     0xbfef538b1faf2d07,     //  0.20411,  -0.97895
+    0x3fc9bdcbf2dc4366,     0xbfef58a2b1789e84,     //   0.2011,  -0.97957
+    0x3fc95b49e9b62af9,     0xbfef5da6ed43685d,     //   0.1981,  -0.98018
+    0x3fc8f8b83c69a60a,     0xbfef6297cff75cb0,     //  0.19509,  -0.98079
+    0x3fc8961727c41804,     0xbfef677556883cee,     //  0.19208,  -0.98138
+    0x3fc83366e89c64c5,     0xbfef6c3f7df5bbb7,     //  0.18907,  -0.98196
+    0x3fc7d0a7bbd2cb1b,     0xbfef70f6434b7eb7,     //  0.18606,  -0.98254
+    0x3fc76dd9de50bf31,     0xbfef7599a3a12077,     //  0.18304,  -0.98311
+    0x3fc70afd8d08c4ff,     0xbfef7a299c1a322a,     //  0.18002,  -0.98366
+    0x3fc6a81304f64ab2,     0xbfef7ea629e63d6e,     //    0.177,  -0.98421
+    0x3fc6451a831d830d,     0xbfef830f4a40c60c,     //  0.17398,  -0.98475
+    0x3fc5e214448b3fc6,     0xbfef8764fa714ba9,     //  0.17096,  -0.98528
+    0x3fc57f008654cbde,     0xbfef8ba737cb4b78,     //  0.16794,   -0.9858
+    0x3fc51bdf8597c5f2,     0xbfef8fd5ffae41db,     //  0.16491,  -0.98631
+    0x3fc4b8b17f79fa88,     0xbfef93f14f85ac08,     //  0.16189,  -0.98681
+    0x3fc45576b1293e5a,     0xbfef97f924c9099b,     //  0.15886,   -0.9873
+    0x3fc3f22f57db4893,     0xbfef9bed7cfbde29,     //  0.15583,  -0.98778
+    0x3fc38edbb0cd8d14,     0xbfef9fce55adb2c8,     //   0.1528,  -0.98826
+    0x3fc32b7bf94516a7,     0xbfefa39bac7a1791,     //  0.14976,  -0.98872
+    0x3fc2c8106e8e613a,     0xbfefa7557f08a517,     //  0.14673,  -0.98918
+    0x3fc264994dfd340a,     0xbfefaafbcb0cfddc,     //   0.1437,  -0.98962
+    0x3fc20116d4ec7bce,     0xbfefae8e8e46cfbb,     //  0.14066,  -0.99006
+    0x3fc19d8940be24e7,     0xbfefb20dc681d54d,     //  0.13762,  -0.99049
+    0x3fc139f0cedaf576,     0xbfefb5797195d741,     //  0.13458,   -0.9909
+    0x3fc0d64dbcb26786,     0xbfefb8d18d66adb7,     //  0.13154,  -0.99131
+    0x3fc072a047ba831d,     0xbfefbc1617e44186,     //   0.1285,  -0.99171
+    0x3fc00ee8ad6fb85b,     0xbfefbf470f0a8d88,     //  0.12545,   -0.9921
+    0x3fbf564e56a9730e,     0xbfefc26470e19fd3,     //  0.12241,  -0.99248
+    0x3fbe8eb7fde4aa3e,     0xbfefc56e3b7d9af6,     //  0.11937,  -0.99285
+    0x3fbdc70ecbae9fc8,     0xbfefc8646cfeb721,     //  0.11632,  -0.99321
+    0x3fbcff533b307dc1,     0xbfefcb4703914354,     //  0.11327,  -0.99356
+    0x3fbc3785c79ec2d5,     0xbfefce15fd6da67b,     //  0.11022,  -0.99391
+    0x3fbb6fa6ec38f64c,     0xbfefd0d158d86087,     //  0.10717,  -0.99424
+    0x3fbaa7b724495c04,     0xbfefd37914220b84,     //  0.10412,  -0.99456
+    0x3fb9dfb6eb24a85c,     0xbfefd60d2da75c9e,     //  0.10107,  -0.99488
+    0x3fb917a6bc29b42c,     0xbfefd88da3d12526,     // 0.098017,  -0.99518
+    0x3fb84f8712c130a0,     0xbfefdafa7514538c,     // 0.094963,  -0.99548
+    0x3fb787586a5d5b21,     0xbfefdd539ff1f456,     // 0.091909,  -0.99577
+    0x3fb6bf1b3e79b129,     0xbfefdf9922f73307,     // 0.088854,  -0.99604
+    0x3fb5f6d00a9aa419,     0xbfefe1cafcbd5b09,     // 0.085797,  -0.99631
+    0x3fb52e774a4d4d0a,     0xbfefe3e92be9d886,     //  0.08274,  -0.99657
+    0x3fb4661179272096,     0xbfefe5f3af2e3940,     // 0.079682,  -0.99682
+    0x3fb39d9f12c5a299,     0xbfefe7ea85482d60,     // 0.076624,  -0.99706
+    0x3fb2d52092ce19f6,     0xbfefe9cdad01883a,     // 0.073565,  -0.99729
+    0x3fb20c9674ed444c,     0xbfefeb9d2530410f,     // 0.070505,  -0.99751
+    0x3fb1440134d709b2,     0xbfefed58ecb673c4,     // 0.067444,  -0.99772
+    0x3fb07b614e463064,     0xbfefef0102826191,     // 0.064383,  -0.99793
+    0x3faf656e79f820e0,     0xbfeff095658e71ad,     // 0.061321,  -0.99812
+    0x3fadd406f9808ec8,     0xbfeff21614e131ed,     // 0.058258,   -0.9983
+    0x3fac428d12c0d7e3,     0xbfeff3830f8d575c,     // 0.055195,  -0.99848
+    0x3faab101bd5f8317,     0xbfeff4dc54b1bed3,     // 0.052132,  -0.99864
+    0x3fa91f65f10dd814,     0xbfeff621e3796d7e,     // 0.049068,   -0.9988
+    0x3fa78dbaa5874685,     0xbfeff753bb1b9164,     // 0.046003,  -0.99894
+    0x3fa5fc00d290cd43,     0xbfeff871dadb81df,     // 0.042938,  -0.99908
+    0x3fa46a396ff86179,     0xbfeff97c4208c014,     // 0.039873,   -0.9992
+    0x3fa2d865759455cd,     0xbfeffa72effef75d,     // 0.036807,  -0.99932
+    0x3fa14685db42c17e,     0xbfeffb55e425fdae,     // 0.033741,  -0.99943
+    0x3f9f693731d1cf01,     0xbfeffc251df1d3f8,     // 0.030675,  -0.99953
+    0x3f9c454f4ce53b1c,     0xbfeffce09ce2a679,     // 0.027608,  -0.99962
+    0x3f992155f7a3667e,     0xbfeffd886084cd0d,     // 0.024541,   -0.9997
+    0x3f95fd4d21fab226,     0xbfeffe1c6870cb77,     // 0.021474,  -0.99977
+    0x3f92d936bbe30efd,     0xbfeffe9cb44b51a1,     // 0.018407,  -0.99983
+    0x3f8f6a296ab997ca,     0xbfefff0943c53bd1,     // 0.015339,  -0.99988
+    0x3f8921d1fcdec784,     0xbfefff62169b92db,     // 0.012272,  -0.99992
+    0x3f82d96b0e509703,     0xbfefffa72c978c4f,     //0.0092038,  -0.99996
+    0x3f7921f0fe670071,     0xbfefffd8858e8a92,     //0.0061359,  -0.99998
+    0x3f6921f8becca4ba,     0xbfeffff621621d02,     // 0.003068,        -1
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_4096)
+const uint64_t twiddleCoefF64_rfft_4096[4096] = {
+    0x0000000000000000,     0x3ff0000000000000,     //        0,         1
+    0x3f5921faaee6472d,     0x3feffffd88586ee6,     // 0.001534,         1
+    0x3f6921f8becca4ba,     0x3feffff621621d02,     // 0.003068,         1
+    0x3f72d97822f996bc,     0x3fefffe9cb1e2e8d,     //0.0046019,   0.99999
+    0x3f7921f0fe670071,     0x3fefffd8858e8a92,     //0.0061359,   0.99998
+    0x3f7f6a65f9a2a3c5,     0x3fefffc250b5daef,     //0.0076698,   0.99997
+    0x3f82d96b0e509703,     0x3fefffa72c978c4f,     //0.0092038,   0.99996
+    0x3f85fda037ac05e0,     0x3fefff871937ce2f,     // 0.010738,   0.99994
+    0x3f8921d1fcdec784,     0x3fefff62169b92db,     // 0.012272,   0.99992
+    0x3f8c45ffe1e48ad9,     0x3fefff3824c88f6f,     // 0.013805,    0.9999
+    0x3f8f6a296ab997ca,     0x3fefff0943c53bd1,     // 0.015339,   0.99988
+    0x3f9147270dad7132,     0x3feffed57398d2b7,     // 0.016873,   0.99986
+    0x3f92d936bbe30efd,     0x3feffe9cb44b51a1,     // 0.018407,   0.99983
+    0x3f946b4381fce81c,     0x3feffe5f05e578db,     //  0.01994,    0.9998
+    0x3f95fd4d21fab226,     0x3feffe1c6870cb77,     // 0.021474,   0.99977
+    0x3f978f535ddc9f03,     0x3feffdd4dbf78f52,     // 0.023008,   0.99974
+    0x3f992155f7a3667e,     0x3feffd886084cd0d,     // 0.024541,    0.9997
+    0x3f9ab354b1504fca,     0x3feffd36f624500c,     // 0.026075,   0.99966
+    0x3f9c454f4ce53b1c,     0x3feffce09ce2a679,     // 0.027608,   0.99962
+    0x3f9dd7458c64ab39,     0x3feffc8554cd213a,     // 0.029142,   0.99958
+    0x3f9f693731d1cf01,     0x3feffc251df1d3f8,     // 0.030675,   0.99953
+    0x3fa07d91ff984580,     0x3feffbbff85f9515,     // 0.032208,   0.99948
+    0x3fa14685db42c17e,     0x3feffb55e425fdae,     // 0.033741,   0.99943
+    0x3fa20f770ceb11c6,     0x3feffae6e1556998,     // 0.035274,   0.99938
+    0x3fa2d865759455cd,     0x3feffa72effef75d,     // 0.036807,   0.99932
+    0x3fa3a150f6421afc,     0x3feff9fa10348837,     //  0.03834,   0.99926
+    0x3fa46a396ff86179,     0x3feff97c4208c014,     // 0.039873,    0.9992
+    0x3fa5331ec3bba0eb,     0x3feff8f9858f058b,     // 0.041406,   0.99914
+    0x3fa5fc00d290cd43,     0x3feff871dadb81df,     // 0.042938,   0.99908
+    0x3fa6c4df7d7d5b84,     0x3feff7e5420320f9,     // 0.044471,   0.99901
+    0x3fa78dbaa5874685,     0x3feff753bb1b9164,     // 0.046003,   0.99894
+    0x3fa856922bb513c1,     0x3feff6bd463b444d,     // 0.047535,   0.99887
+    0x3fa91f65f10dd814,     0x3feff621e3796d7e,     // 0.049068,    0.9988
+    0x3fa9e835d6993c87,     0x3feff58192ee0358,     //   0.0506,   0.99872
+    0x3faab101bd5f8317,     0x3feff4dc54b1bed3,     // 0.052132,   0.99864
+    0x3fab79c986698b78,     0x3feff43228de1b77,     // 0.053664,   0.99856
+    0x3fac428d12c0d7e3,     0x3feff3830f8d575c,     // 0.055195,   0.99848
+    0x3fad0b4c436f91d0,     0x3feff2cf08da7321,     // 0.056727,   0.99839
+    0x3fadd406f9808ec8,     0x3feff21614e131ed,     // 0.058258,    0.9983
+    0x3fae9cbd15ff5527,     0x3feff15833be1965,     //  0.05979,   0.99821
+    0x3faf656e79f820e0,     0x3feff095658e71ad,     // 0.061321,   0.99812
+    0x3fb0170d833bf421,     0x3fefefcdaa704562,     // 0.062852,   0.99802
+    0x3fb07b614e463064,     0x3fefef0102826191,     // 0.064383,   0.99793
+    0x3fb0dfb28ea201e6,     0x3fefee2f6de455ba,     // 0.065913,   0.99783
+    0x3fb1440134d709b2,     0x3fefed58ecb673c4,     // 0.067444,   0.99772
+    0x3fb1a84d316d4f8a,     0x3fefec7d7f19cffc,     // 0.068974,   0.99762
+    0x3fb20c9674ed444c,     0x3fefeb9d2530410f,     // 0.070505,   0.99751
+    0x3fb270dcefdfc45b,     0x3fefeab7df1c6005,     // 0.072035,    0.9974
+    0x3fb2d52092ce19f6,     0x3fefe9cdad01883a,     // 0.073565,   0.99729
+    0x3fb339614e41ffa5,     0x3fefe8de8f03d75c,     // 0.075094,   0.99718
+    0x3fb39d9f12c5a299,     0x3fefe7ea85482d60,     // 0.076624,   0.99706
+    0x3fb401d9d0e3a507,     0x3fefe6f18ff42c84,     // 0.078153,   0.99694
+    0x3fb4661179272096,     0x3fefe5f3af2e3940,     // 0.079682,   0.99682
+    0x3fb4ca45fc1ba8b6,     0x3fefe4f0e31d7a4a,     // 0.081211,    0.9967
+    0x3fb52e774a4d4d0a,     0x3fefe3e92be9d886,     //  0.08274,   0.99657
+    0x3fb592a554489bc8,     0x3fefe2dc89bbff08,     // 0.084269,   0.99644
+    0x3fb5f6d00a9aa419,     0x3fefe1cafcbd5b09,     // 0.085797,   0.99631
+    0x3fb65af75dd0f87b,     0x3fefe0b485181be3,     // 0.087326,   0.99618
+    0x3fb6bf1b3e79b129,     0x3fefdf9922f73307,     // 0.088854,   0.99604
+    0x3fb7233b9d236e71,     0x3fefde78d68653fd,     // 0.090381,   0.99591
+    0x3fb787586a5d5b21,     0x3fefdd539ff1f456,     // 0.091909,   0.99577
+    0x3fb7eb7196b72ee4,     0x3fefdc297f674ba9,     // 0.093436,   0.99563
+    0x3fb84f8712c130a0,     0x3fefdafa7514538c,     // 0.094963,   0.99548
+    0x3fb8b398cf0c38e0,     0x3fefd9c68127c78c,     //  0.09649,   0.99533
+    0x3fb917a6bc29b42c,     0x3fefd88da3d12526,     // 0.098017,   0.99518
+    0x3fb97bb0caaba56f,     0x3fefd74fdd40abbf,     // 0.099544,   0.99503
+    0x3fb9dfb6eb24a85c,     0x3fefd60d2da75c9e,     //  0.10107,   0.99488
+    0x3fba43b90e27f3c4,     0x3fefd4c59536fae4,     //   0.1026,   0.99472
+    0x3fbaa7b724495c04,     0x3fefd37914220b84,     //  0.10412,   0.99456
+    0x3fbb0bb11e1d5559,     0x3fefd227aa9bd53b,     //  0.10565,    0.9944
+    0x3fbb6fa6ec38f64c,     0x3fefd0d158d86087,     //  0.10717,   0.99424
+    0x3fbbd3987f31fa0e,     0x3fefcf761f0c77a3,     //   0.1087,   0.99407
+    0x3fbc3785c79ec2d5,     0x3fefce15fd6da67b,     //  0.11022,   0.99391
+    0x3fbc9b6eb6165c42,     0x3fefccb0f4323aa3,     //  0.11175,   0.99374
+    0x3fbcff533b307dc1,     0x3fefcb4703914354,     //  0.11327,   0.99356
+    0x3fbd633347858ce4,     0x3fefc9d82bc2915e,     //  0.11479,   0.99339
+    0x3fbdc70ecbae9fc8,     0x3fefc8646cfeb721,     //  0.11632,   0.99321
+    0x3fbe2ae5b8457f77,     0x3fefc6ebc77f0887,     //  0.11784,   0.99303
+    0x3fbe8eb7fde4aa3e,     0x3fefc56e3b7d9af6,     //  0.11937,   0.99285
+    0x3fbef2858d27561b,     0x3fefc3ebc935454c,     //  0.12089,   0.99267
+    0x3fbf564e56a9730e,     0x3fefc26470e19fd3,     //  0.12241,   0.99248
+    0x3fbfba124b07ad85,     0x3fefc0d832bf043a,     //  0.12393,   0.99229
+    0x3fc00ee8ad6fb85b,     0x3fefbf470f0a8d88,     //  0.12545,    0.9921
+    0x3fc040c5bb67747e,     0x3fefbdb106021816,     //  0.12698,   0.99191
+    0x3fc072a047ba831d,     0x3fefbc1617e44186,     //   0.1285,   0.99171
+    0x3fc0a4784ab8bf1d,     0x3fefba7644f068b5,     //  0.13002,   0.99151
+    0x3fc0d64dbcb26786,     0x3fefb8d18d66adb7,     //  0.13154,   0.99131
+    0x3fc1082095f820b0,     0x3fefb727f187f1c7,     //  0.13306,   0.99111
+    0x3fc139f0cedaf576,     0x3fefb5797195d741,     //  0.13458,    0.9909
+    0x3fc16bbe5fac5865,     0x3fefb3c60dd2c199,     //   0.1361,    0.9907
+    0x3fc19d8940be24e7,     0x3fefb20dc681d54d,     //  0.13762,   0.99049
+    0x3fc1cf516a62a077,     0x3fefb0509be6f7db,     //  0.13914,   0.99027
+    0x3fc20116d4ec7bce,     0x3fefae8e8e46cfbb,     //  0.14066,   0.99006
+    0x3fc232d978aed413,     0x3fefacc79de6c44f,     //  0.14218,   0.98984
+    0x3fc264994dfd340a,     0x3fefaafbcb0cfddc,     //   0.1437,   0.98962
+    0x3fc296564d2b953e,     0x3fefa92b1600657c,     //  0.14521,    0.9894
+    0x3fc2c8106e8e613a,     0x3fefa7557f08a517,     //  0.14673,   0.98918
+    0x3fc2f9c7aa7a72af,     0x3fefa57b066e2754,     //  0.14825,   0.98895
+    0x3fc32b7bf94516a7,     0x3fefa39bac7a1791,     //  0.14976,   0.98872
+    0x3fc35d2d53440db2,     0x3fefa1b7717661d5,     //  0.15128,   0.98849
+    0x3fc38edbb0cd8d14,     0x3fef9fce55adb2c8,     //   0.1528,   0.98826
+    0x3fc3c0870a383ff6,     0x3fef9de0596b77a3,     //  0.15431,   0.98802
+    0x3fc3f22f57db4893,     0x3fef9bed7cfbde29,     //  0.15583,   0.98778
+    0x3fc423d4920e4166,     0x3fef99f5c0abd496,     //  0.15734,   0.98754
+    0x3fc45576b1293e5a,     0x3fef97f924c9099b,     //  0.15886,    0.9873
+    0x3fc48715ad84cdf5,     0x3fef95f7a9a1ec47,     //  0.16037,   0.98706
+    0x3fc4b8b17f79fa88,     0x3fef93f14f85ac08,     //  0.16189,   0.98681
+    0x3fc4ea4a1f624b61,     0x3fef91e616c43891,     //   0.1634,   0.98656
+    0x3fc51bdf8597c5f2,     0x3fef8fd5ffae41db,     //  0.16491,   0.98631
+    0x3fc54d71aa74ef02,     0x3fef8dc10a95380d,     //  0.16643,   0.98605
+    0x3fc57f008654cbde,     0x3fef8ba737cb4b78,     //  0.16794,    0.9858
+    0x3fc5b08c1192e381,     0x3fef898887a36c84,     //  0.16945,   0.98554
+    0x3fc5e214448b3fc6,     0x3fef8764fa714ba9,     //  0.17096,   0.98528
+    0x3fc61399179a6e94,     0x3fef853c9089595e,     //  0.17247,   0.98501
+    0x3fc6451a831d830d,     0x3fef830f4a40c60c,     //  0.17398,   0.98475
+    0x3fc676987f7216b8,     0x3fef80dd27ed8204,     //  0.17549,   0.98448
+    0x3fc6a81304f64ab2,     0x3fef7ea629e63d6e,     //    0.177,   0.98421
+    0x3fc6d98a0c08c8da,     0x3fef7c6a50826840,     //  0.17851,   0.98394
+    0x3fc70afd8d08c4ff,     0x3fef7a299c1a322a,     //  0.18002,   0.98366
+    0x3fc73c6d8055fe0a,     0x3fef77e40d068a90,     //  0.18153,   0.98339
+    0x3fc76dd9de50bf31,     0x3fef7599a3a12077,     //  0.18304,   0.98311
+    0x3fc79f429f59e11d,     0x3fef734a60446279,     //  0.18455,   0.98282
+    0x3fc7d0a7bbd2cb1b,     0x3fef70f6434b7eb7,     //  0.18606,   0.98254
+    0x3fc802092c1d744b,     0x3fef6e9d4d1262ca,     //  0.18756,   0.98225
+    0x3fc83366e89c64c5,     0x3fef6c3f7df5bbb7,     //  0.18907,   0.98196
+    0x3fc864c0e9b2b6cf,     0x3fef69dcd652f5de,     //  0.19057,   0.98167
+    0x3fc8961727c41804,     0x3fef677556883cee,     //  0.19208,   0.98138
+    0x3fc8c7699b34ca7e,     0x3fef6508fef47bd5,     //  0.19359,   0.98108
+    0x3fc8f8b83c69a60a,     0x3fef6297cff75cb0,     //  0.19509,   0.98079
+    0x3fc92a0303c8194f,     0x3fef6021c9f148c2,     //  0.19659,   0.98048
+    0x3fc95b49e9b62af9,     0x3fef5da6ed43685d,     //   0.1981,   0.98018
+    0x3fc98c8ce69a7aec,     0x3fef5b273a4fa2d9,     //   0.1996,   0.97988
+    0x3fc9bdcbf2dc4366,     0x3fef58a2b1789e84,     //   0.2011,   0.97957
+    0x3fc9ef0706e35a35,     0x3fef56195321c090,     //  0.20261,   0.97926
+    0x3fca203e1b1831da,     0x3fef538b1faf2d07,     //  0.20411,   0.97895
+    0x3fca517127e3dabc,     0x3fef50f81785c6b9,     //  0.20561,   0.97863
+    0x3fca82a025b00451,     0x3fef4e603b0b2f2d,     //  0.20711,   0.97832
+    0x3fcab3cb0ce6fe44,     0x3fef4bc38aa5c694,     //  0.20861,     0.978
+    0x3fcae4f1d5f3b9ab,     0x3fef492206bcabb4,     //  0.21011,   0.97768
+    0x3fcb16147941ca2a,     0x3fef467bafb7bbe0,     //  0.21161,   0.97735
+    0x3fcb4732ef3d6722,     0x3fef43d085ff92dd,     //  0.21311,   0.97703
+    0x3fcb784d30536cda,     0x3fef412089fd8adc,     //  0.21461,    0.9767
+    0x3fcba96334f15dad,     0x3fef3e6bbc1bbc65,     //  0.21611,   0.97637
+    0x3fcbda74f5856330,     0x3fef3bb21cc4fe47,     //   0.2176,   0.97604
+    0x3fcc0b826a7e4f63,     0x3fef38f3ac64e589,     //   0.2191,    0.9757
+    0x3fcc3c8b8c4b9dd7,     0x3fef36306b67c556,     //   0.2206,   0.97536
+    0x3fcc6d90535d74dc,     0x3fef33685a3aaef0,     //  0.22209,   0.97503
+    0x3fcc9e90b824a6a9,     0x3fef309b794b719f,     //  0.22359,   0.97468
+    0x3fcccf8cb312b286,     0x3fef2dc9c9089a9d,     //  0.22508,   0.97434
+    0x3fcd00843c99c5f9,     0x3fef2af349e17507,     //  0.22658,   0.97399
+    0x3fcd31774d2cbdee,     0x3fef2817fc4609ce,     //  0.22807,   0.97364
+    0x3fcd6265dd3f27e3,     0x3fef2537e0a71f9f,     //  0.22957,   0.97329
+    0x3fcd934fe5454311,     0x3fef2252f7763ada,     //  0.23106,   0.97294
+    0x3fcdc4355db40195,     0x3fef1f6941259d7a,     //  0.23255,   0.97258
+    0x3fcdf5163f01099a,     0x3fef1c7abe284708,     //  0.23404,   0.97223
+    0x3fce25f281a2b684,     0x3fef19876ef1f486,     //  0.23553,   0.97187
+    0x3fce56ca1e101a1b,     0x3fef168f53f7205d,     //  0.23702,    0.9715
+    0x3fce879d0cc0fdaf,     0x3fef13926dad024e,     //  0.23851,   0.97114
+    0x3fceb86b462de348,     0x3fef1090bc898f5f,     //     0.24,   0.97077
+    0x3fcee934c2d006c7,     0x3fef0d8a410379c5,     //  0.24149,    0.9704
+    0x3fcf19f97b215f1a,     0x3fef0a7efb9230d7,     //  0.24298,   0.97003
+    0x3fcf4ab9679c9f5c,     0x3fef076eecade0fa,     //  0.24447,   0.96966
+    0x3fcf7b7480bd3801,     0x3fef045a14cf738c,     //  0.24596,   0.96928
+    0x3fcfac2abeff57ff,     0x3fef014074708ed3,     //  0.24744,    0.9689
+    0x3fcfdcdc1adfedf8,     0x3feefe220c0b95ec,     //  0.24893,   0.96852
+    0x3fd006c4466e54af,     0x3feefafedc1ba8b7,     //  0.25041,   0.96814
+    0x3fd01f1806b9fdd2,     0x3feef7d6e51ca3c0,     //   0.2519,   0.96775
+    0x3fd037694a928cac,     0x3feef4aa278b2032,     //  0.25338,   0.96737
+    0x3fd04fb80e37fdae,     0x3feef178a3e473c2,     //  0.25487,   0.96698
+    0x3fd068044deab002,     0x3feeee425aa6b09a,     //  0.25635,   0.96658
+    0x3fd0804e05eb661e,     0x3feeeb074c50a544,     //  0.25783,   0.96619
+    0x3fd09895327b465e,     0x3feee7c77961dc9e,     //  0.25931,   0.96579
+    0x3fd0b0d9cfdbdb90,     0x3feee482e25a9dbc,     //  0.26079,   0.96539
+    0x3fd0c91bda4f158d,     0x3feee13987bbebdc,     //  0.26227,   0.96499
+    0x3fd0e15b4e1749cd,     0x3feeddeb6a078651,     //  0.26375,   0.96459
+    0x3fd0f998277733f7,     0x3feeda9889bfe86a,     //  0.26523,   0.96418
+    0x3fd111d262b1f677,     0x3feed740e7684963,     //  0.26671,   0.96378
+    0x3fd12a09fc0b1b12,     0x3feed3e483849c51,     //  0.26819,   0.96337
+    0x3fd1423eefc69378,     0x3feed0835e999009,     //  0.26967,   0.96295
+    0x3fd15a713a28b9d9,     0x3feecd1d792c8f10,     //  0.27115,   0.96254
+    0x3fd172a0d7765177,     0x3feec9b2d3c3bf84,     //  0.27262,   0.96212
+    0x3fd18acdc3f4873a,     0x3feec6436ee60309,     //   0.2741,    0.9617
+    0x3fd1a2f7fbe8f243,     0x3feec2cf4b1af6b2,     //  0.27557,   0.96128
+    0x3fd1bb1f7b999480,     0x3feebf5668eaf2ef,     //  0.27705,   0.96086
+    0x3fd1d3443f4cdb3d,     0x3feebbd8c8df0b74,     //  0.27852,   0.96043
+    0x3fd1eb6643499fbb,     0x3feeb8566b810f2a,     //  0.27999,      0.96
+    0x3fd2038583d727bd,     0x3feeb4cf515b8811,     //  0.28146,   0.95957
+    0x3fd21ba1fd3d2623,     0x3feeb1437af9bb34,     //  0.28294,   0.95914
+    0x3fd233bbabc3bb72,     0x3feeadb2e8e7a88e,     //  0.28441,    0.9587
+    0x3fd24bd28bb37672,     0x3feeaa1d9bb20af3,     //  0.28588,   0.95827
+    0x3fd263e6995554ba,     0x3feea68393e65800,     //  0.28735,   0.95783
+    0x3fd27bf7d0f2c346,     0x3feea2e4d212c000,     //  0.28882,   0.95738
+    0x3fd294062ed59f05,     0x3fee9f4156c62dda,     //  0.29028,   0.95694
+    0x3fd2ac11af483572,     0x3fee9b99229046f8,     //  0.29175,   0.95649
+    0x3fd2c41a4e954520,     0x3fee97ec36016b30,     //  0.29322,   0.95605
+    0x3fd2dc200907fe51,     0x3fee943a91aab4b4,     //  0.29469,   0.95559
+    0x3fd2f422daec0386,     0x3fee9084361df7f3,     //  0.29615,   0.95514
+    0x3fd30c22c08d6a13,     0x3fee8cc923edc388,     //  0.29762,   0.95469
+    0x3fd3241fb638baaf,     0x3fee89095bad6025,     //  0.29908,   0.95423
+    0x3fd33c19b83af207,     0x3fee8544ddf0d075,     //  0.30054,   0.95377
+    0x3fd35410c2e18152,     0x3fee817bab4cd10d,     //  0.30201,   0.95331
+    0x3fd36c04d27a4edf,     0x3fee7dadc456d850,     //  0.30347,   0.95284
+    0x3fd383f5e353b6aa,     0x3fee79db29a5165a,     //  0.30493,   0.95238
+    0x3fd39be3f1bc8aef,     0x3fee7603dbce74e9,     //  0.30639,   0.95191
+    0x3fd3b3cefa0414b7,     0x3fee7227db6a9744,     //  0.30785,   0.95144
+    0x3fd3cbb6f87a146e,     0x3fee6e472911da27,     //  0.30931,   0.95096
+    0x3fd3e39be96ec271,     0x3fee6a61c55d53a7,     //  0.31077,   0.95049
+    0x3fd3fb7dc932cfa4,     0x3fee6677b0e6d31e,     //  0.31222,   0.95001
+    0x3fd4135c94176602,     0x3fee6288ec48e112,     //  0.31368,   0.94953
+    0x3fd42b38466e2928,     0x3fee5e95781ebf1c,     //  0.31514,   0.94905
+    0x3fd44310dc8936f0,     0x3fee5a9d550467d3,     //  0.31659,   0.94856
+    0x3fd45ae652bb2800,     0x3fee56a083968eb1,     //  0.31805,   0.94807
+    0x3fd472b8a5571054,     0x3fee529f04729ffc,     //   0.3195,   0.94759
+    0x3fd48a87d0b07fd7,     0x3fee4e98d836c0af,     //  0.32096,   0.94709
+    0x3fd4a253d11b82f3,     0x3fee4a8dff81ce5e,     //  0.32241,    0.9466
+    0x3fd4ba1ca2eca31c,     0x3fee467e7af35f23,     //  0.32386,   0.94611
+    0x3fd4d1e24278e76a,     0x3fee426a4b2bc17e,     //  0.32531,   0.94561
+    0x3fd4e9a4ac15d520,     0x3fee3e5170cbfc46,     //  0.32676,   0.94511
+    0x3fd50163dc197047,     0x3fee3a33ec75ce85,     //  0.32821,    0.9446
+    0x3fd5191fceda3c35,     0x3fee3611becbaf69,     //  0.32966,    0.9441
+    0x3fd530d880af3c24,     0x3fee31eae870ce25,     //  0.33111,   0.94359
+    0x3fd5488dedeff3be,     0x3fee2dbf6a0911d9,     //  0.33255,   0.94308
+    0x3fd5604012f467b4,     0x3fee298f4439197a,     //    0.334,   0.94257
+    0x3fd577eeec151e47,     0x3fee255a77a63bb8,     //  0.33545,   0.94206
+    0x3fd58f9a75ab1fdd,     0x3fee212104f686e5,     //  0.33689,   0.94154
+    0x3fd5a742ac0ff78d,     0x3fee1ce2ecd0c0d8,     //  0.33833,   0.94103
+    0x3fd5bee78b9db3b6,     0x3fee18a02fdc66d9,     //  0.33978,   0.94051
+    0x3fd5d68910aee686,     0x3fee1458cec1ad83,     //  0.34122,   0.93998
+    0x3fd5ee27379ea693,     0x3fee100cca2980ac,     //  0.34266,   0.93946
+    0x3fd605c1fcc88f63,     0x3fee0bbc22bd8349,     //   0.3441,   0.93893
+    0x3fd61d595c88c203,     0x3fee0766d9280f54,     //  0.34554,    0.9384
+    0x3fd634ed533be58e,     0x3fee030cee1435b8,     //  0.34698,   0.93787
+    0x3fd64c7ddd3f27c6,     0x3fedfeae622dbe2b,     //  0.34842,   0.93734
+    0x3fd6640af6f03d9e,     0x3fedfa4b3621271d,     //  0.34986,    0.9368
+    0x3fd67b949cad63ca,     0x3fedf5e36a9ba59c,     //  0.35129,   0.93627
+    0x3fd6931acad55f51,     0x3fedf177004b2534,     //  0.35273,   0.93573
+    0x3fd6aa9d7dc77e16,     0x3feded05f7de47da,     //  0.35416,   0.93518
+    0x3fd6c21cb1e39771,     0x3fede890520465ce,     //   0.3556,   0.93464
+    0x3fd6d998638a0cb5,     0x3fede4160f6d8d81,     //  0.35703,   0.93409
+    0x3fd6f1108f1bc9c5,     0x3feddf9730ca837b,     //  0.35846,   0.93354
+    0x3fd7088530fa459e,     0x3feddb13b6ccc23d,     //   0.3599,   0.93299
+    0x3fd71ff6458782ec,     0x3fedd68ba2267a25,     //  0.36133,   0.93244
+    0x3fd73763c9261092,     0x3fedd1fef38a915a,     //  0.36276,   0.93188
+    0x3fd74ecdb8390a3e,     0x3fedcd6dabaca3a5,     //  0.36418,   0.93133
+    0x3fd766340f2418f6,     0x3fedc8d7cb410260,     //  0.36561,   0.93077
+    0x3fd77d96ca4b73a6,     0x3fedc43d52fcb453,     //  0.36704,   0.93021
+    0x3fd794f5e613dfae,     0x3fedbf9e4395759a,     //  0.36847,   0.92964
+    0x3fd7ac515ee2b172,     0x3fedbafa9dc1b78d,     //  0.36989,   0.92907
+    0x3fd7c3a9311dcce7,     0x3fedb6526238a09b,     //  0.37132,   0.92851
+    0x3fd7dafd592ba621,     0x3fedb1a591b20c38,     //  0.37274,   0.92794
+    0x3fd7f24dd37341e3,     0x3fedacf42ce68ab9,     //  0.37416,   0.92736
+    0x3fd8099a9c5c362d,     0x3feda83e348f613b,     //  0.37559,   0.92679
+    0x3fd820e3b04eaac4,     0x3feda383a9668988,     //  0.37701,   0.92621
+    0x3fd838290bb359c8,     0x3fed9ec48c26b1f3,     //  0.37843,   0.92563
+    0x3fd84f6aaaf3903f,     0x3fed9a00dd8b3d46,     //  0.37985,   0.92505
+    0x3fd866a88a792ea0,     0x3fed95389e50429b,     //  0.38127,   0.92447
+    0x3fd87de2a6aea963,     0x3fed906bcf328d46,     //  0.38268,   0.92388
+    0x3fd89518fbff098e,     0x3fed8b9a70ef9cb4,     //   0.3841,   0.92329
+    0x3fd8ac4b86d5ed44,     0x3fed86c48445a450,     //  0.38552,    0.9227
+    0x3fd8c37a439f884f,     0x3fed81ea09f38b63,     //  0.38693,   0.92211
+    0x3fd8daa52ec8a4af,     0x3fed7d0b02b8ecf9,     //  0.38835,   0.92151
+    0x3fd8f1cc44bea329,     0x3fed78276f5617c6,     //  0.38976,   0.92092
+    0x3fd908ef81ef7bd1,     0x3fed733f508c0dff,     //  0.39117,   0.92032
+    0x3fd9200ee2c9be97,     0x3fed6e52a71c8547,     //  0.39258,   0.91972
+    0x3fd9372a63bc93d7,     0x3fed696173c9e68b,     //  0.39399,   0.91911
+    0x3fd94e420137bce3,     0x3fed646bb7574de5,     //   0.3954,   0.91851
+    0x3fd96555b7ab948f,     0x3fed5f7172888a7f,     //  0.39681,    0.9179
+    0x3fd97c6583890fc2,     0x3fed5a72a6221e73,     //  0.39822,   0.91729
+    0x3fd993716141bdfe,     0x3fed556f52e93eb1,     //  0.39962,   0.91668
+    0x3fd9aa794d47c9ee,     0x3fed506779a3d2d9,     //  0.40103,   0.91606
+    0x3fd9c17d440df9f2,     0x3fed4b5b1b187524,     //  0.40243,   0.91545
+    0x3fd9d87d4207b0ab,     0x3fed464a380e7242,     //  0.40384,   0.91483
+    0x3fd9ef7943a8ed8a,     0x3fed4134d14dc93a,     //  0.40524,   0.91421
+    0x3fda067145664d57,     0x3fed3c1ae79f2b4e,     //  0.40664,   0.91359
+    0x3fda1d6543b50ac0,     0x3fed36fc7bcbfbdc,     //  0.40804,   0.91296
+    0x3fda34553b0afee5,     0x3fed31d98e9e503a,     //  0.40944,   0.91234
+    0x3fda4b4127dea1e4,     0x3fed2cb220e0ef9f,     //  0.41084,   0.91171
+    0x3fda622906a70b63,     0x3fed2786335f52fc,     //  0.41224,   0.91107
+    0x3fda790cd3dbf31a,     0x3fed2255c6e5a4e1,     //  0.41364,   0.91044
+    0x3fda8fec8bf5b166,     0x3fed1d20dc40c15c,     //  0.41503,   0.90981
+    0x3fdaa6c82b6d3fc9,     0x3fed17e7743e35dc,     //  0.41643,   0.90917
+    0x3fdabd9faebc3980,     0x3fed12a98fac410c,     //  0.41782,   0.90853
+    0x3fdad473125cdc08,     0x3fed0d672f59d2b9,     //  0.41922,   0.90789
+    0x3fdaeb4252ca07ab,     0x3fed082054168bac,     //  0.42061,   0.90724
+    0x3fdb020d6c7f4009,     0x3fed02d4feb2bd92,     //    0.422,    0.9066
+    0x3fdb18d45bf8aca6,     0x3fecfd852fff6ad4,     //  0.42339,   0.90595
+    0x3fdb2f971db31972,     0x3fecf830e8ce467b,     //  0.42478,    0.9053
+    0x3fdb4655ae2bf757,     0x3fecf2d829f1b40e,     //  0.42617,   0.90464
+    0x3fdb5d1009e15cc0,     0x3feced7af43cc773,     //  0.42756,   0.90399
+    0x3fdb73c62d520624,     0x3fece819488344ce,     //  0.42894,   0.90333
+    0x3fdb8a7814fd5693,     0x3fece2b32799a060,     //  0.43033,   0.90267
+    0x3fdba125bd63583e,     0x3fecdd489254fe65,     //  0.43171,   0.90201
+    0x3fdbb7cf2304bd01,     0x3fecd7d9898b32f6,     //  0.43309,   0.90135
+    0x3fdbce744262deee,     0x3fecd2660e12c1e6,     //  0.43448,   0.90068
+    0x3fdbe51517ffc0d9,     0x3fecccee20c2de9f,     //  0.43586,   0.90002
+    0x3fdbfbb1a05e0edc,     0x3fecc771c2736c09,     //  0.43724,   0.89935
+    0x3fdc1249d8011ee7,     0x3fecc1f0f3fcfc5c,     //  0.43862,   0.89867
+    0x3fdc28ddbb6cf145,     0x3fecbc6bb638d10b,     //  0.43999,     0.898
+    0x3fdc3f6d47263129,     0x3fecb6e20a00da99,     //  0.44137,   0.89732
+    0x3fdc55f877b23537,     0x3fecb153f02fb87d,     //  0.44275,   0.89665
+    0x3fdc6c7f4997000a,     0x3fecabc169a0b901,     //  0.44412,   0.89597
+    0x3fdc8301b95b40c2,     0x3feca62a772fd919,     //   0.4455,   0.89528
+    0x3fdc997fc3865388,     0x3feca08f19b9c449,     //  0.44687,    0.8946
+    0x3fdcaff964a0421d,     0x3fec9aef521bd480,     //  0.44824,   0.89391
+    0x3fdcc66e9931c45d,     0x3fec954b213411f5,     //  0.44961,   0.89322
+    0x3fdcdcdf5dc440ce,     0x3fec8fa287e13305,     //  0.45098,   0.89253
+    0x3fdcf34baee1cd21,     0x3fec89f587029c13,     //  0.45235,   0.89184
+    0x3fdd09b389152ec1,     0x3fec84441f785f61,     //  0.45372,   0.89115
+    0x3fdd2016e8e9db5b,     0x3fec7e8e52233cf3,     //  0.45508,   0.89045
+    0x3fdd3675caebf962,     0x3fec78d41fe4a267,     //  0.45645,   0.88975
+    0x3fdd4cd02ba8609c,     0x3fec7315899eaad7,     //  0.45781,   0.88905
+    0x3fdd632607ac9aa9,     0x3fec6d5290341eb2,     //  0.45918,   0.88835
+    0x3fdd79775b86e389,     0x3fec678b3488739b,     //  0.46054,   0.88764
+    0x3fdd8fc423c62a25,     0x3fec61bf777fcc48,     //   0.4619,   0.88693
+    0x3fdda60c5cfa10d8,     0x3fec5bef59fef85a,     //  0.46326,   0.88622
+    0x3fddbc5003b2edf8,     0x3fec561adceb743e,     //  0.46462,   0.88551
+    0x3fddd28f1481cc58,     0x3fec5042012b6907,     //  0.46598,    0.8848
+    0x3fdde8c98bf86bd6,     0x3fec4a64c7a5ac4c,     //  0.46733,   0.88408
+    0x3fddfeff66a941de,     0x3fec44833141c004,     //  0.46869,   0.88336
+    0x3fde1530a12779f4,     0x3fec3e9d3ee7d262,     //  0.47004,   0.88264
+    0x3fde2b5d3806f63b,     0x3fec38b2f180bdb1,     //   0.4714,   0.88192
+    0x3fde418527dc4ffa,     0x3fec32c449f60831,     //  0.47275,    0.8812
+    0x3fde57a86d3cd824,     0x3fec2cd14931e3f1,     //   0.4741,   0.88047
+    0x3fde6dc704be97e2,     0x3fec26d9f01f2eaf,     //  0.47545,   0.87974
+    0x3fde83e0eaf85113,     0x3fec20de3fa971b0,     //   0.4768,   0.87901
+    0x3fde99f61c817eda,     0x3fec1ade38bce19b,     //  0.47815,   0.87828
+    0x3fdeb00695f25620,     0x3fec14d9dc465e58,     //  0.47949,   0.87755
+    0x3fdec61253e3c61b,     0x3fec0ed12b3372e9,     //  0.48084,   0.87681
+    0x3fdedc1952ef78d5,     0x3fec08c426725549,     //  0.48218,   0.87607
+    0x3fdef21b8fafd3b5,     0x3fec02b2cef1e641,     //  0.48353,   0.87533
+    0x3fdf081906bff7fd,     0x3febfc9d25a1b147,     //  0.48487,   0.87459
+    0x3fdf1e11b4bbc35c,     0x3febf6832b71ec5b,     //  0.48621,   0.87384
+    0x3fdf3405963fd068,     0x3febf064e15377dd,     //  0.48755,   0.87309
+    0x3fdf49f4a7e97729,     0x3febea424837de6d,     //  0.48889,   0.87235
+    0x3fdf5fdee656cda3,     0x3febe41b611154c1,     //  0.49023,    0.8716
+    0x3fdf75c44e26a852,     0x3febddf02cd2b983,     //  0.49156,   0.87084
+    0x3fdf8ba4dbf89aba,     0x3febd7c0ac6f952a,     //   0.4929,   0.87009
+    0x3fdfa1808c6cf7e0,     0x3febd18ce0dc19d6,     //  0.49423,   0.86933
+    0x3fdfb7575c24d2de,     0x3febcb54cb0d2327,     //  0.49557,   0.86857
+    0x3fdfcd2947c1ff57,     0x3febc5186bf8361d,     //   0.4969,   0.86781
+    0x3fdfe2f64be7120f,     0x3febbed7c49380ea,     //  0.49823,   0.86705
+    0x3fdff8be6537615e,     0x3febb892d5d5dad5,     //  0.49956,   0.86628
+    0x3fe00740c82b82e0,     0x3febb249a0b6c40d,     //  0.50089,   0.86551
+    0x3fe0121fe4f56d2c,     0x3febabfc262e6586,     //  0.50221,   0.86474
+    0x3fe01cfc874c3eb7,     0x3feba5aa673590d2,     //  0.50354,   0.86397
+    0x3fe027d6ad83287e,     0x3feb9f5464c5bffc,     //  0.50486,    0.8632
+    0x3fe032ae55edbd95,     0x3feb98fa1fd9155e,     //  0.50619,   0.86242
+    0x3fe03d837edff370,     0x3feb929b996a5b7f,     //  0.50751,   0.86165
+    0x3fe0485626ae221a,     0x3feb8c38d27504e9,     //  0.50883,   0.86087
+    0x3fe053264bad0483,     0x3feb85d1cbf52c02,     //  0.51015,   0.86009
+    0x3fe05df3ec31b8b6,     0x3feb7f6686e792ea,     //  0.51147,    0.8593
+    0x3fe068bf0691c028,     0x3feb78f70449a34b,     //  0.51279,   0.85852
+    0x3fe073879922ffed,     0x3feb728345196e3e,     //   0.5141,   0.85773
+    0x3fe07e4da23bc102,     0x3feb6c0b4a55ac17,     //  0.51542,   0.85694
+    0x3fe089112032b08c,     0x3feb658f14fdbc47,     //  0.51673,   0.85615
+    0x3fe093d2115ee018,     0x3feb5f0ea611a532,     //  0.51804,   0.85535
+    0x3fe09e907417c5e1,     0x3feb5889fe921405,     //  0.51936,   0.85456
+    0x3fe0a94c46b53d0b,     0x3feb52011f805c92,     //  0.52067,   0.85376
+    0x3fe0b405878f85ec,     0x3feb4b7409de7925,     //  0.52198,   0.85296
+    0x3fe0bebc34ff4646,     0x3feb44e2beaf0a61,     //  0.52328,   0.85216
+    0x3fe0c9704d5d898f,     0x3feb3e4d3ef55712,     //  0.52459,   0.85136
+    0x3fe0d421cf03c12b,     0x3feb37b38bb54c09,     //   0.5259,   0.85055
+    0x3fe0ded0b84bc4b5,     0x3feb3115a5f37bf4,     //   0.5272,   0.84974
+    0x3fe0e97d078fd23b,     0x3feb2a738eb51f33,     //   0.5285,   0.84893
+    0x3fe0f426bb2a8e7d,     0x3feb23cd470013b4,     //   0.5298,   0.84812
+    0x3fe0fecdd1770537,     0x3feb1d22cfdadcc6,     //   0.5311,   0.84731
+    0x3fe1097248d0a956,     0x3feb16742a4ca2f5,     //   0.5324,   0.84649
+    0x3fe114141f935545,     0x3feb0fc1575d33db,     //   0.5337,   0.84567
+    0x3fe11eb3541b4b22,     0x3feb090a58150200,     //    0.535,   0.84485
+    0x3fe1294fe4c5350a,     0x3feb024f2d7d24a9,     //  0.53629,   0.84403
+    0x3fe133e9cfee254e,     0x3feafb8fd89f57b6,     //  0.53759,   0.84321
+    0x3fe13e8113f396c1,     0x3feaf4cc5a85fb73,     //  0.53888,   0.84238
+    0x3fe14915af336ceb,     0x3feaee04b43c1474,     //  0.54017,   0.84155
+    0x3fe153a7a00bf453,     0x3feae738e6cd4b67,     //  0.54146,   0.84073
+    0x3fe15e36e4dbe2bc,     0x3feae068f345ecef,     //  0.54275,   0.83989
+    0x3fe168c37c025764,     0x3fead994dab2e979,     //  0.54404,   0.83906
+    0x3fe1734d63dedb49,     0x3fead2bc9e21d511,     //  0.54532,   0.83822
+    0x3fe17dd49ad16161,     0x3feacbe03ea0e73b,     //  0.54661,   0.83739
+    0x3fe188591f3a46e5,     0x3feac4ffbd3efac8,     //  0.54789,   0.83655
+    0x3fe192daef7a5386,     0x3feabe1b1b0b8dac,     //  0.54918,   0.83571
+    0x3fe19d5a09f2b9b8,     0x3feab7325916c0d4,     //  0.55046,   0.83486
+    0x3fe1a7d66d0516e6,     0x3feab045787157ff,     //  0.55174,   0.83402
+    0x3fe1b250171373be,     0x3feaa9547a2cb98e,     //  0.55302,   0.83317
+    0x3fe1bcc706804467,     0x3feaa25f5f5aee60,     //  0.55429,   0.83232
+    0x3fe1c73b39ae68c8,     0x3fea9b66290ea1a3,     //  0.55557,   0.83147
+    0x3fe1d1acaf012cc2,     0x3fea9468d85b20ae,     //  0.55685,   0.83062
+    0x3fe1dc1b64dc4872,     0x3fea8d676e545ad2,     //  0.55812,   0.82976
+    0x3fe1e68759a3e074,     0x3fea8661ec0ee133,     //  0.55939,    0.8289
+    0x3fe1f0f08bbc861b,     0x3fea7f58529fe69d,     //  0.56066,   0.82805
+    0x3fe1fb56f98b37b8,     0x3fea784aa31d3f55,     //  0.56193,   0.82718
+    0x3fe205baa17560d6,     0x3fea7138de9d60f5,     //   0.5632,   0.82632
+    0x3fe2101b81e0da78,     0x3fea6a230637623b,     //  0.56447,   0.82546
+    0x3fe21a799933eb58,     0x3fea63091b02fae2,     //  0.56573,   0.82459
+    0x3fe224d4e5d5482e,     0x3fea5beb1e188375,     //    0.567,   0.82372
+    0x3fe22f2d662c13e1,     0x3fea54c91090f524,     //  0.56826,   0.82285
+    0x3fe23983189fdfd5,     0x3fea4da2f385e997,     //  0.56952,   0.82198
+    0x3fe243d5fb98ac1f,     0x3fea4678c8119ac8,     //  0.57078,    0.8211
+    0x3fe24e260d7ee7c9,     0x3fea3f4a8f4ee2d2,     //  0.57204,   0.82023
+    0x3fe258734cbb7110,     0x3fea38184a593bc6,     //   0.5733,   0.81935
+    0x3fe262bdb7b795a2,     0x3fea30e1fa4cbf81,     //  0.57455,   0.81847
+    0x3fe26d054cdd12df,     0x3fea29a7a0462782,     //  0.57581,   0.81758
+    0x3fe2774a0a961612,     0x3fea22693d62ccb9,     //  0.57706,    0.8167
+    0x3fe2818bef4d3cba,     0x3fea1b26d2c0a75e,     //  0.57831,   0.81581
+    0x3fe28bcaf96d94ba,     0x3fea13e0617e4ec7,     //  0.57956,   0.81493
+    0x3fe2960727629ca8,     0x3fea0c95eabaf937,     //  0.58081,   0.81404
+    0x3fe2a040779843fb,     0x3fea05476f967bb5,     //  0.58206,   0.81314
+    0x3fe2aa76e87aeb58,     0x3fe9fdf4f13149de,     //  0.58331,   0.81225
+    0x3fe2b4aa787764c4,     0x3fe9f69e70ac75bc,     //  0.58455,   0.81135
+    0x3fe2bedb25faf3ea,     0x3fe9ef43ef29af94,     //   0.5858,   0.81046
+    0x3fe2c908ef734e57,     0x3fe9e7e56dcb45bd,     //  0.58704,   0.80956
+    0x3fe2d333d34e9bb7,     0x3fe9e082edb42472,     //  0.58828,   0.80866
+    0x3fe2dd5bcffb7616,     0x3fe9d91c7007d5a6,     //  0.58952,   0.80775
+    0x3fe2e780e3e8ea16,     0x3fe9d1b1f5ea80d6,     //  0.59076,   0.80685
+    0x3fe2f1a30d86773a,     0x3fe9ca438080eadb,     //    0.592,   0.80594
+    0x3fe2fbc24b441015,     0x3fe9c2d110f075c3,     //  0.59323,   0.80503
+    0x3fe305de9b921a94,     0x3fe9bb5aa85f2098,     //  0.59447,   0.80412
+    0x3fe30ff7fce17035,     0x3fe9b3e047f38741,     //   0.5957,   0.80321
+    0x3fe31a0e6da35e44,     0x3fe9ac61f0d4e247,     //  0.59693,   0.80229
+    0x3fe32421ec49a620,     0x3fe9a4dfa42b06b2,     //  0.59816,   0.80138
+    0x3fe32e3277467d6b,     0x3fe99d59631e65d5,     //  0.59939,   0.80046
+    0x3fe338400d0c8e57,     0x3fe995cf2ed80d22,     //  0.60062,   0.79954
+    0x3fe3424aac0ef7d6,     0x3fe98e410881a600,     //  0.60184,   0.79861
+    0x3fe34c5252c14de1,     0x3fe986aef1457594,     //  0.60307,   0.79769
+    0x3fe35656ff9799ae,     0x3fe97f18ea4e5c9e,     //  0.60429,   0.79676
+    0x3fe36058b10659f3,     0x3fe9777ef4c7d742,     //  0.60551,   0.79584
+    0x3fe36a576582831b,     0x3fe96fe111ddfce0,     //  0.60673,   0.79491
+    0x3fe374531b817f8d,     0x3fe9683f42bd7fe1,     //  0.60795,   0.79398
+    0x3fe37e4bd1792fe2,     0x3fe960998893ad8c,     //  0.60917,   0.79304
+    0x3fe3884185dfeb22,     0x3fe958efe48e6dd7,     //  0.61038,   0.79211
+    0x3fe39234372c7f04,     0x3fe9514257dc4335,     //   0.6116,   0.79117
+    0x3fe39c23e3d63029,     0x3fe94990e3ac4a6c,     //  0.61281,   0.79023
+    0x3fe3a6108a54ba58,     0x3fe941db892e3a65,     //  0.61402,   0.78929
+    0x3fe3affa292050b9,     0x3fe93a22499263fc,     //  0.61523,   0.78835
+    0x3fe3b9e0beb19e18,     0x3fe932652609b1cf,     //  0.61644,    0.7874
+    0x3fe3c3c44981c517,     0x3fe92aa41fc5a815,     //  0.61765,   0.78646
+    0x3fe3cda4c80a6076,     0x3fe922df37f8646a,     //  0.61885,   0.78551
+    0x3fe3d78238c58343,     0x3fe91b166fd49da2,     //  0.62006,   0.78456
+    0x3fe3e15c9a2db922,     0x3fe91349c88da398,     //  0.62126,    0.7836
+    0x3fe3eb33eabe0680,     0x3fe90b7943575efe,     //  0.62246,   0.78265
+    0x3fe3f50828f1e8d2,     0x3fe903a4e1665133,     //  0.62366,   0.78169
+    0x3fe3fed9534556d4,     0x3fe8fbcca3ef940d,     //  0.62486,   0.78074
+    0x3fe408a76834c0c0,     0x3fe8f3f08c28d9ac,     //  0.62606,   0.77978
+    0x3fe41272663d108c,     0x3fe8ec109b486c49,     //  0.62725,   0.77882
+    0x3fe41c3a4bdbaa26,     0x3fe8e42cd2852e0a,     //  0.62845,   0.77785
+    0x3fe425ff178e6bb1,     0x3fe8dc45331698cc,     //  0.62964,   0.77689
+    0x3fe42fc0c7d3adbb,     0x3fe8d459be34bdfa,     //  0.63083,   0.77592
+    0x3fe4397f5b2a4380,     0x3fe8cc6a75184655,     //  0.63202,   0.77495
+    0x3fe4433ad0117b1d,     0x3fe8c47758fa71cb,     //  0.63321,   0.77398
+    0x3fe44cf325091dd6,     0x3fe8bc806b151741,     //  0.63439,   0.77301
+    0x3fe456a858917046,     0x3fe8b485aca2a468,     //  0.63558,   0.77204
+    0x3fe4605a692b32a2,     0x3fe8ac871ede1d88,     //  0.63676,   0.77106
+    0x3fe46a095557a0f1,     0x3fe8a484c3031d50,     //  0.63794,   0.77008
+    0x3fe473b51b987347,     0x3fe89c7e9a4dd4ab,     //  0.63912,    0.7691
+    0x3fe47d5dba6fde01,     0x3fe89474a5fb0a84,     //   0.6403,   0.76812
+    0x3fe48703306091fe,     0x3fe88c66e7481ba1,     //  0.64148,   0.76714
+    0x3fe490a57bedbcdf,     0x3fe884555f72fa6b,     //  0.64266,   0.76615
+    0x3fe49a449b9b0938,     0x3fe87c400fba2ebf,     //  0.64383,   0.76517
+    0x3fe4a3e08dec9ed6,     0x3fe87426f95cd5bd,     //    0.645,   0.76418
+    0x3fe4ad79516722f0,     0x3fe86c0a1d9aa195,     //  0.64618,   0.76319
+    0x3fe4b70ee48fb869,     0x3fe863e97db3d95a,     //  0.64735,    0.7622
+    0x3fe4c0a145ec0004,     0x3fe85bc51ae958cc,     //  0.64851,    0.7612
+    0x3fe4ca30740218a3,     0x3fe8539cf67c9029,     //  0.64968,   0.76021
+    0x3fe4d3bc6d589f80,     0x3fe84b7111af83f9,     //  0.65085,   0.75921
+    0x3fe4dd453076b064,     0x3fe843416dc4cce2,     //  0.65201,   0.75821
+    0x3fe4e6cabbe3e5e9,     0x3fe83b0e0bff976e,     //  0.65317,   0.75721
+    0x3fe4f04d0e2859aa,     0x3fe832d6eda3a3e0,     //  0.65433,   0.75621
+    0x3fe4f9cc25cca486,     0x3fe82a9c13f545ff,     //  0.65549,    0.7552
+    0x3fe503480159ded2,     0x3fe8225d803964e5,     //  0.65665,   0.75419
+    0x3fe50cc09f59a09b,     0x3fe81a1b33b57acc,     //  0.65781,   0.75319
+    0x3fe51635fe5601d7,     0x3fe811d52faf94dc,     //  0.65896,   0.75218
+    0x3fe51fa81cd99aa6,     0x3fe8098b756e52fa,     //  0.66011,   0.75117
+    0x3fe52916f96f8388,     0x3fe8013e0638e795,     //  0.66127,   0.75015
+    0x3fe5328292a35596,     0x3fe7f8ece3571771,     //  0.66242,   0.74914
+    0x3fe53beae7012abe,     0x3fe7f0980e113978,     //  0.66356,   0.74812
+    0x3fe5454ff5159dfb,     0x3fe7e83f87b03686,     //  0.66471,    0.7471
+    0x3fe54eb1bb6dcb8f,     0x3fe7dfe3517d8937,     //  0.66586,   0.74608
+    0x3fe5581038975137,     0x3fe7d7836cc33db2,     //    0.667,   0.74506
+    0x3fe5616b6b204e6e,     0x3fe7cf1fdacbf179,     //  0.66814,   0.74403
+    0x3fe56ac35197649e,     0x3fe7c6b89ce2d333,     //  0.66928,   0.74301
+    0x3fe57417ea8bb75c,     0x3fe7be4db453a27c,     //  0.67042,   0.74198
+    0x3fe57d69348cec9f,     0x3fe7b5df226aafb0,     //  0.67156,   0.74095
+    0x3fe586b72e2b2cfd,     0x3fe7ad6ce874dbb6,     //  0.67269,   0.73992
+    0x3fe59001d5f723df,     0x3fe7a4f707bf97d2,     //  0.67383,   0.73889
+    0x3fe599492a81ffbc,     0x3fe79c7d8198e56e,     //  0.67496,   0.73785
+    0x3fe5a28d2a5d7250,     0x3fe79400574f55e4,     //  0.67609,   0.73682
+    0x3fe5abcdd41bb0d8,     0x3fe78b7f8a320a52,     //  0.67722,   0.73578
+    0x3fe5b50b264f7448,     0x3fe782fb1b90b35b,     //  0.67835,   0.73474
+    0x3fe5be451f8bf980,     0x3fe77a730cbb9100,     //  0.67948,    0.7337
+    0x3fe5c77bbe65018c,     0x3fe771e75f037261,     //   0.6806,   0.73265
+    0x3fe5d0af016ed1d4,     0x3fe7695813b9b594,     //  0.68172,   0.73161
+    0x3fe5d9dee73e345c,     0x3fe760c52c304764,     //  0.68285,   0.73056
+    0x3fe5e30b6e6877f3,     0x3fe7582ea9b9a329,     //  0.68397,   0.72951
+    0x3fe5ec3495837074,     0x3fe74f948da8d28d,     //  0.68508,   0.72846
+    0x3fe5f55a5b2576f8,     0x3fe746f6d9516d59,     //   0.6862,   0.72741
+    0x3fe5fe7cbde56a0f,     0x3fe73e558e079942,     //  0.68732,   0.72636
+    0x3fe6079bbc5aadfa,     0x3fe735b0ad2009b2,     //  0.68843,    0.7253
+    0x3fe610b7551d2cde,     0x3fe72d0837efff97,     //  0.68954,   0.72425
+    0x3fe619cf86c55702,     0x3fe7245c2fcd492a,     //  0.69065,   0.72319
+    0x3fe622e44fec22ff,     0x3fe71bac960e41bf,     //  0.69176,   0.72213
+    0x3fe62bf5af2b0dfd,     0x3fe712f96c09d18d,     //  0.69287,   0.72107
+    0x3fe63503a31c1be8,     0x3fe70a42b3176d7a,     //  0.69397,      0.72
+    0x3fe63e0e2a59d7aa,     0x3fe701886c8f16e6,     //  0.69508,   0.71894
+    0x3fe64715437f535b,     0x3fe6f8ca99c95b75,     //  0.69618,   0.71787
+    0x3fe65018ed28287f,     0x3fe6f0093c1f54de,     //  0.69728,    0.7168
+    0x3fe6591925f0783e,     0x3fe6e74454eaa8ae,     //  0.69838,   0.71573
+    0x3fe66215ec74eb91,     0x3fe6de7be585881d,     //  0.69947,   0.71466
+    0x3fe66b0f3f52b386,     0x3fe6d5afef4aafcc,     //  0.70057,   0.71358
+    0x3fe674051d27896c,     0x3fe6cce07395679f,     //  0.70166,   0.71251
+    0x3fe67cf78491af10,     0x3fe6c40d73c18275,     //  0.70275,   0.71143
+    0x3fe685e6742feeef,     0x3fe6bb36f12b5e06,     //  0.70385,   0.71035
+    0x3fe68ed1eaa19c71,     0x3fe6b25ced2fe29c,     //  0.70493,   0.70927
+    0x3fe697b9e686941c,     0x3fe6a97f692c82ea,     //  0.70602,   0.70819
+    0x3fe6a09e667f3bcc,     0x3fe6a09e667f3bcc,     //  0.70711,   0.70711
+    0x3fe6a97f692c82ea,     0x3fe697b9e686941c,     //  0.70819,   0.70602
+    0x3fe6b25ced2fe29c,     0x3fe68ed1eaa19c71,     //  0.70927,   0.70493
+    0x3fe6bb36f12b5e06,     0x3fe685e6742feeef,     //  0.71035,   0.70385
+    0x3fe6c40d73c18275,     0x3fe67cf78491af10,     //  0.71143,   0.70275
+    0x3fe6cce07395679f,     0x3fe674051d27896c,     //  0.71251,   0.70166
+    0x3fe6d5afef4aafcc,     0x3fe66b0f3f52b386,     //  0.71358,   0.70057
+    0x3fe6de7be585881d,     0x3fe66215ec74eb91,     //  0.71466,   0.69947
+    0x3fe6e74454eaa8ae,     0x3fe6591925f0783e,     //  0.71573,   0.69838
+    0x3fe6f0093c1f54de,     0x3fe65018ed28287f,     //   0.7168,   0.69728
+    0x3fe6f8ca99c95b75,     0x3fe64715437f535b,     //  0.71787,   0.69618
+    0x3fe701886c8f16e6,     0x3fe63e0e2a59d7aa,     //  0.71894,   0.69508
+    0x3fe70a42b3176d7a,     0x3fe63503a31c1be8,     //     0.72,   0.69397
+    0x3fe712f96c09d18d,     0x3fe62bf5af2b0dfd,     //  0.72107,   0.69287
+    0x3fe71bac960e41bf,     0x3fe622e44fec22ff,     //  0.72213,   0.69176
+    0x3fe7245c2fcd492a,     0x3fe619cf86c55702,     //  0.72319,   0.69065
+    0x3fe72d0837efff97,     0x3fe610b7551d2cde,     //  0.72425,   0.68954
+    0x3fe735b0ad2009b2,     0x3fe6079bbc5aadfa,     //   0.7253,   0.68843
+    0x3fe73e558e079942,     0x3fe5fe7cbde56a0f,     //  0.72636,   0.68732
+    0x3fe746f6d9516d59,     0x3fe5f55a5b2576f8,     //  0.72741,    0.6862
+    0x3fe74f948da8d28d,     0x3fe5ec3495837074,     //  0.72846,   0.68508
+    0x3fe7582ea9b9a329,     0x3fe5e30b6e6877f3,     //  0.72951,   0.68397
+    0x3fe760c52c304764,     0x3fe5d9dee73e345c,     //  0.73056,   0.68285
+    0x3fe7695813b9b594,     0x3fe5d0af016ed1d4,     //  0.73161,   0.68172
+    0x3fe771e75f037261,     0x3fe5c77bbe65018c,     //  0.73265,    0.6806
+    0x3fe77a730cbb9100,     0x3fe5be451f8bf980,     //   0.7337,   0.67948
+    0x3fe782fb1b90b35b,     0x3fe5b50b264f7448,     //  0.73474,   0.67835
+    0x3fe78b7f8a320a52,     0x3fe5abcdd41bb0d8,     //  0.73578,   0.67722
+    0x3fe79400574f55e4,     0x3fe5a28d2a5d7250,     //  0.73682,   0.67609
+    0x3fe79c7d8198e56e,     0x3fe599492a81ffbc,     //  0.73785,   0.67496
+    0x3fe7a4f707bf97d2,     0x3fe59001d5f723df,     //  0.73889,   0.67383
+    0x3fe7ad6ce874dbb6,     0x3fe586b72e2b2cfd,     //  0.73992,   0.67269
+    0x3fe7b5df226aafb0,     0x3fe57d69348cec9f,     //  0.74095,   0.67156
+    0x3fe7be4db453a27c,     0x3fe57417ea8bb75c,     //  0.74198,   0.67042
+    0x3fe7c6b89ce2d333,     0x3fe56ac35197649e,     //  0.74301,   0.66928
+    0x3fe7cf1fdacbf179,     0x3fe5616b6b204e6e,     //  0.74403,   0.66814
+    0x3fe7d7836cc33db2,     0x3fe5581038975137,     //  0.74506,     0.667
+    0x3fe7dfe3517d8937,     0x3fe54eb1bb6dcb8f,     //  0.74608,   0.66586
+    0x3fe7e83f87b03686,     0x3fe5454ff5159dfb,     //   0.7471,   0.66471
+    0x3fe7f0980e113978,     0x3fe53beae7012abe,     //  0.74812,   0.66356
+    0x3fe7f8ece3571771,     0x3fe5328292a35596,     //  0.74914,   0.66242
+    0x3fe8013e0638e795,     0x3fe52916f96f8388,     //  0.75015,   0.66127
+    0x3fe8098b756e52fa,     0x3fe51fa81cd99aa6,     //  0.75117,   0.66011
+    0x3fe811d52faf94dc,     0x3fe51635fe5601d7,     //  0.75218,   0.65896
+    0x3fe81a1b33b57acc,     0x3fe50cc09f59a09b,     //  0.75319,   0.65781
+    0x3fe8225d803964e5,     0x3fe503480159ded2,     //  0.75419,   0.65665
+    0x3fe82a9c13f545ff,     0x3fe4f9cc25cca486,     //   0.7552,   0.65549
+    0x3fe832d6eda3a3e0,     0x3fe4f04d0e2859aa,     //  0.75621,   0.65433
+    0x3fe83b0e0bff976e,     0x3fe4e6cabbe3e5e9,     //  0.75721,   0.65317
+    0x3fe843416dc4cce2,     0x3fe4dd453076b064,     //  0.75821,   0.65201
+    0x3fe84b7111af83f9,     0x3fe4d3bc6d589f80,     //  0.75921,   0.65085
+    0x3fe8539cf67c9029,     0x3fe4ca30740218a3,     //  0.76021,   0.64968
+    0x3fe85bc51ae958cc,     0x3fe4c0a145ec0004,     //   0.7612,   0.64851
+    0x3fe863e97db3d95a,     0x3fe4b70ee48fb869,     //   0.7622,   0.64735
+    0x3fe86c0a1d9aa195,     0x3fe4ad79516722f0,     //  0.76319,   0.64618
+    0x3fe87426f95cd5bd,     0x3fe4a3e08dec9ed6,     //  0.76418,     0.645
+    0x3fe87c400fba2ebf,     0x3fe49a449b9b0938,     //  0.76517,   0.64383
+    0x3fe884555f72fa6b,     0x3fe490a57bedbcdf,     //  0.76615,   0.64266
+    0x3fe88c66e7481ba1,     0x3fe48703306091fe,     //  0.76714,   0.64148
+    0x3fe89474a5fb0a84,     0x3fe47d5dba6fde01,     //  0.76812,    0.6403
+    0x3fe89c7e9a4dd4ab,     0x3fe473b51b987347,     //   0.7691,   0.63912
+    0x3fe8a484c3031d50,     0x3fe46a095557a0f1,     //  0.77008,   0.63794
+    0x3fe8ac871ede1d88,     0x3fe4605a692b32a2,     //  0.77106,   0.63676
+    0x3fe8b485aca2a468,     0x3fe456a858917046,     //  0.77204,   0.63558
+    0x3fe8bc806b151741,     0x3fe44cf325091dd6,     //  0.77301,   0.63439
+    0x3fe8c47758fa71cb,     0x3fe4433ad0117b1d,     //  0.77398,   0.63321
+    0x3fe8cc6a75184655,     0x3fe4397f5b2a4380,     //  0.77495,   0.63202
+    0x3fe8d459be34bdfa,     0x3fe42fc0c7d3adbb,     //  0.77592,   0.63083
+    0x3fe8dc45331698cc,     0x3fe425ff178e6bb1,     //  0.77689,   0.62964
+    0x3fe8e42cd2852e0a,     0x3fe41c3a4bdbaa26,     //  0.77785,   0.62845
+    0x3fe8ec109b486c49,     0x3fe41272663d108c,     //  0.77882,   0.62725
+    0x3fe8f3f08c28d9ac,     0x3fe408a76834c0c0,     //  0.77978,   0.62606
+    0x3fe8fbcca3ef940d,     0x3fe3fed9534556d4,     //  0.78074,   0.62486
+    0x3fe903a4e1665133,     0x3fe3f50828f1e8d2,     //  0.78169,   0.62366
+    0x3fe90b7943575efe,     0x3fe3eb33eabe0680,     //  0.78265,   0.62246
+    0x3fe91349c88da398,     0x3fe3e15c9a2db922,     //   0.7836,   0.62126
+    0x3fe91b166fd49da2,     0x3fe3d78238c58343,     //  0.78456,   0.62006
+    0x3fe922df37f8646a,     0x3fe3cda4c80a6076,     //  0.78551,   0.61885
+    0x3fe92aa41fc5a815,     0x3fe3c3c44981c517,     //  0.78646,   0.61765
+    0x3fe932652609b1cf,     0x3fe3b9e0beb19e18,     //   0.7874,   0.61644
+    0x3fe93a22499263fc,     0x3fe3affa292050b9,     //  0.78835,   0.61523
+    0x3fe941db892e3a65,     0x3fe3a6108a54ba58,     //  0.78929,   0.61402
+    0x3fe94990e3ac4a6c,     0x3fe39c23e3d63029,     //  0.79023,   0.61281
+    0x3fe9514257dc4335,     0x3fe39234372c7f04,     //  0.79117,    0.6116
+    0x3fe958efe48e6dd7,     0x3fe3884185dfeb22,     //  0.79211,   0.61038
+    0x3fe960998893ad8c,     0x3fe37e4bd1792fe2,     //  0.79304,   0.60917
+    0x3fe9683f42bd7fe1,     0x3fe374531b817f8d,     //  0.79398,   0.60795
+    0x3fe96fe111ddfce0,     0x3fe36a576582831b,     //  0.79491,   0.60673
+    0x3fe9777ef4c7d742,     0x3fe36058b10659f3,     //  0.79584,   0.60551
+    0x3fe97f18ea4e5c9e,     0x3fe35656ff9799ae,     //  0.79676,   0.60429
+    0x3fe986aef1457594,     0x3fe34c5252c14de1,     //  0.79769,   0.60307
+    0x3fe98e410881a600,     0x3fe3424aac0ef7d6,     //  0.79861,   0.60184
+    0x3fe995cf2ed80d22,     0x3fe338400d0c8e57,     //  0.79954,   0.60062
+    0x3fe99d59631e65d5,     0x3fe32e3277467d6b,     //  0.80046,   0.59939
+    0x3fe9a4dfa42b06b2,     0x3fe32421ec49a620,     //  0.80138,   0.59816
+    0x3fe9ac61f0d4e247,     0x3fe31a0e6da35e44,     //  0.80229,   0.59693
+    0x3fe9b3e047f38741,     0x3fe30ff7fce17035,     //  0.80321,    0.5957
+    0x3fe9bb5aa85f2098,     0x3fe305de9b921a94,     //  0.80412,   0.59447
+    0x3fe9c2d110f075c3,     0x3fe2fbc24b441015,     //  0.80503,   0.59323
+    0x3fe9ca438080eadb,     0x3fe2f1a30d86773a,     //  0.80594,     0.592
+    0x3fe9d1b1f5ea80d6,     0x3fe2e780e3e8ea16,     //  0.80685,   0.59076
+    0x3fe9d91c7007d5a6,     0x3fe2dd5bcffb7616,     //  0.80775,   0.58952
+    0x3fe9e082edb42472,     0x3fe2d333d34e9bb7,     //  0.80866,   0.58828
+    0x3fe9e7e56dcb45bd,     0x3fe2c908ef734e57,     //  0.80956,   0.58704
+    0x3fe9ef43ef29af94,     0x3fe2bedb25faf3ea,     //  0.81046,    0.5858
+    0x3fe9f69e70ac75bc,     0x3fe2b4aa787764c4,     //  0.81135,   0.58455
+    0x3fe9fdf4f13149de,     0x3fe2aa76e87aeb58,     //  0.81225,   0.58331
+    0x3fea05476f967bb5,     0x3fe2a040779843fb,     //  0.81314,   0.58206
+    0x3fea0c95eabaf937,     0x3fe2960727629ca8,     //  0.81404,   0.58081
+    0x3fea13e0617e4ec7,     0x3fe28bcaf96d94ba,     //  0.81493,   0.57956
+    0x3fea1b26d2c0a75e,     0x3fe2818bef4d3cba,     //  0.81581,   0.57831
+    0x3fea22693d62ccb9,     0x3fe2774a0a961612,     //   0.8167,   0.57706
+    0x3fea29a7a0462782,     0x3fe26d054cdd12df,     //  0.81758,   0.57581
+    0x3fea30e1fa4cbf81,     0x3fe262bdb7b795a2,     //  0.81847,   0.57455
+    0x3fea38184a593bc6,     0x3fe258734cbb7110,     //  0.81935,    0.5733
+    0x3fea3f4a8f4ee2d2,     0x3fe24e260d7ee7c9,     //  0.82023,   0.57204
+    0x3fea4678c8119ac8,     0x3fe243d5fb98ac1f,     //   0.8211,   0.57078
+    0x3fea4da2f385e997,     0x3fe23983189fdfd5,     //  0.82198,   0.56952
+    0x3fea54c91090f524,     0x3fe22f2d662c13e1,     //  0.82285,   0.56826
+    0x3fea5beb1e188375,     0x3fe224d4e5d5482e,     //  0.82372,     0.567
+    0x3fea63091b02fae2,     0x3fe21a799933eb58,     //  0.82459,   0.56573
+    0x3fea6a230637623b,     0x3fe2101b81e0da78,     //  0.82546,   0.56447
+    0x3fea7138de9d60f5,     0x3fe205baa17560d6,     //  0.82632,    0.5632
+    0x3fea784aa31d3f55,     0x3fe1fb56f98b37b8,     //  0.82718,   0.56193
+    0x3fea7f58529fe69d,     0x3fe1f0f08bbc861b,     //  0.82805,   0.56066
+    0x3fea8661ec0ee133,     0x3fe1e68759a3e074,     //   0.8289,   0.55939
+    0x3fea8d676e545ad2,     0x3fe1dc1b64dc4872,     //  0.82976,   0.55812
+    0x3fea9468d85b20ae,     0x3fe1d1acaf012cc2,     //  0.83062,   0.55685
+    0x3fea9b66290ea1a3,     0x3fe1c73b39ae68c8,     //  0.83147,   0.55557
+    0x3feaa25f5f5aee60,     0x3fe1bcc706804467,     //  0.83232,   0.55429
+    0x3feaa9547a2cb98e,     0x3fe1b250171373be,     //  0.83317,   0.55302
+    0x3feab045787157ff,     0x3fe1a7d66d0516e6,     //  0.83402,   0.55174
+    0x3feab7325916c0d4,     0x3fe19d5a09f2b9b8,     //  0.83486,   0.55046
+    0x3feabe1b1b0b8dac,     0x3fe192daef7a5386,     //  0.83571,   0.54918
+    0x3feac4ffbd3efac8,     0x3fe188591f3a46e5,     //  0.83655,   0.54789
+    0x3feacbe03ea0e73b,     0x3fe17dd49ad16161,     //  0.83739,   0.54661
+    0x3fead2bc9e21d511,     0x3fe1734d63dedb49,     //  0.83822,   0.54532
+    0x3fead994dab2e979,     0x3fe168c37c025764,     //  0.83906,   0.54404
+    0x3feae068f345ecef,     0x3fe15e36e4dbe2bc,     //  0.83989,   0.54275
+    0x3feae738e6cd4b67,     0x3fe153a7a00bf453,     //  0.84073,   0.54146
+    0x3feaee04b43c1474,     0x3fe14915af336ceb,     //  0.84155,   0.54017
+    0x3feaf4cc5a85fb73,     0x3fe13e8113f396c1,     //  0.84238,   0.53888
+    0x3feafb8fd89f57b6,     0x3fe133e9cfee254e,     //  0.84321,   0.53759
+    0x3feb024f2d7d24a9,     0x3fe1294fe4c5350a,     //  0.84403,   0.53629
+    0x3feb090a58150200,     0x3fe11eb3541b4b22,     //  0.84485,     0.535
+    0x3feb0fc1575d33db,     0x3fe114141f935545,     //  0.84567,    0.5337
+    0x3feb16742a4ca2f5,     0x3fe1097248d0a956,     //  0.84649,    0.5324
+    0x3feb1d22cfdadcc6,     0x3fe0fecdd1770537,     //  0.84731,    0.5311
+    0x3feb23cd470013b4,     0x3fe0f426bb2a8e7d,     //  0.84812,    0.5298
+    0x3feb2a738eb51f33,     0x3fe0e97d078fd23b,     //  0.84893,    0.5285
+    0x3feb3115a5f37bf4,     0x3fe0ded0b84bc4b5,     //  0.84974,    0.5272
+    0x3feb37b38bb54c09,     0x3fe0d421cf03c12b,     //  0.85055,    0.5259
+    0x3feb3e4d3ef55712,     0x3fe0c9704d5d898f,     //  0.85136,   0.52459
+    0x3feb44e2beaf0a61,     0x3fe0bebc34ff4646,     //  0.85216,   0.52328
+    0x3feb4b7409de7925,     0x3fe0b405878f85ec,     //  0.85296,   0.52198
+    0x3feb52011f805c92,     0x3fe0a94c46b53d0b,     //  0.85376,   0.52067
+    0x3feb5889fe921405,     0x3fe09e907417c5e1,     //  0.85456,   0.51936
+    0x3feb5f0ea611a532,     0x3fe093d2115ee018,     //  0.85535,   0.51804
+    0x3feb658f14fdbc47,     0x3fe089112032b08c,     //  0.85615,   0.51673
+    0x3feb6c0b4a55ac17,     0x3fe07e4da23bc102,     //  0.85694,   0.51542
+    0x3feb728345196e3e,     0x3fe073879922ffed,     //  0.85773,    0.5141
+    0x3feb78f70449a34b,     0x3fe068bf0691c028,     //  0.85852,   0.51279
+    0x3feb7f6686e792ea,     0x3fe05df3ec31b8b6,     //   0.8593,   0.51147
+    0x3feb85d1cbf52c02,     0x3fe053264bad0483,     //  0.86009,   0.51015
+    0x3feb8c38d27504e9,     0x3fe0485626ae221a,     //  0.86087,   0.50883
+    0x3feb929b996a5b7f,     0x3fe03d837edff370,     //  0.86165,   0.50751
+    0x3feb98fa1fd9155e,     0x3fe032ae55edbd95,     //  0.86242,   0.50619
+    0x3feb9f5464c5bffc,     0x3fe027d6ad83287e,     //   0.8632,   0.50486
+    0x3feba5aa673590d2,     0x3fe01cfc874c3eb7,     //  0.86397,   0.50354
+    0x3febabfc262e6586,     0x3fe0121fe4f56d2c,     //  0.86474,   0.50221
+    0x3febb249a0b6c40d,     0x3fe00740c82b82e0,     //  0.86551,   0.50089
+    0x3febb892d5d5dad5,     0x3fdff8be6537615e,     //  0.86628,   0.49956
+    0x3febbed7c49380ea,     0x3fdfe2f64be7120f,     //  0.86705,   0.49823
+    0x3febc5186bf8361d,     0x3fdfcd2947c1ff57,     //  0.86781,    0.4969
+    0x3febcb54cb0d2327,     0x3fdfb7575c24d2de,     //  0.86857,   0.49557
+    0x3febd18ce0dc19d6,     0x3fdfa1808c6cf7e0,     //  0.86933,   0.49423
+    0x3febd7c0ac6f952a,     0x3fdf8ba4dbf89aba,     //  0.87009,    0.4929
+    0x3febddf02cd2b983,     0x3fdf75c44e26a852,     //  0.87084,   0.49156
+    0x3febe41b611154c1,     0x3fdf5fdee656cda3,     //   0.8716,   0.49023
+    0x3febea424837de6d,     0x3fdf49f4a7e97729,     //  0.87235,   0.48889
+    0x3febf064e15377dd,     0x3fdf3405963fd068,     //  0.87309,   0.48755
+    0x3febf6832b71ec5b,     0x3fdf1e11b4bbc35c,     //  0.87384,   0.48621
+    0x3febfc9d25a1b147,     0x3fdf081906bff7fd,     //  0.87459,   0.48487
+    0x3fec02b2cef1e641,     0x3fdef21b8fafd3b5,     //  0.87533,   0.48353
+    0x3fec08c426725549,     0x3fdedc1952ef78d5,     //  0.87607,   0.48218
+    0x3fec0ed12b3372e9,     0x3fdec61253e3c61b,     //  0.87681,   0.48084
+    0x3fec14d9dc465e58,     0x3fdeb00695f25620,     //  0.87755,   0.47949
+    0x3fec1ade38bce19b,     0x3fde99f61c817eda,     //  0.87828,   0.47815
+    0x3fec20de3fa971b0,     0x3fde83e0eaf85113,     //  0.87901,    0.4768
+    0x3fec26d9f01f2eaf,     0x3fde6dc704be97e2,     //  0.87974,   0.47545
+    0x3fec2cd14931e3f1,     0x3fde57a86d3cd824,     //  0.88047,    0.4741
+    0x3fec32c449f60831,     0x3fde418527dc4ffa,     //   0.8812,   0.47275
+    0x3fec38b2f180bdb1,     0x3fde2b5d3806f63b,     //  0.88192,    0.4714
+    0x3fec3e9d3ee7d262,     0x3fde1530a12779f4,     //  0.88264,   0.47004
+    0x3fec44833141c004,     0x3fddfeff66a941de,     //  0.88336,   0.46869
+    0x3fec4a64c7a5ac4c,     0x3fdde8c98bf86bd6,     //  0.88408,   0.46733
+    0x3fec5042012b6907,     0x3fddd28f1481cc58,     //   0.8848,   0.46598
+    0x3fec561adceb743e,     0x3fddbc5003b2edf8,     //  0.88551,   0.46462
+    0x3fec5bef59fef85a,     0x3fdda60c5cfa10d8,     //  0.88622,   0.46326
+    0x3fec61bf777fcc48,     0x3fdd8fc423c62a25,     //  0.88693,    0.4619
+    0x3fec678b3488739b,     0x3fdd79775b86e389,     //  0.88764,   0.46054
+    0x3fec6d5290341eb2,     0x3fdd632607ac9aa9,     //  0.88835,   0.45918
+    0x3fec7315899eaad7,     0x3fdd4cd02ba8609c,     //  0.88905,   0.45781
+    0x3fec78d41fe4a267,     0x3fdd3675caebf962,     //  0.88975,   0.45645
+    0x3fec7e8e52233cf3,     0x3fdd2016e8e9db5b,     //  0.89045,   0.45508
+    0x3fec84441f785f61,     0x3fdd09b389152ec1,     //  0.89115,   0.45372
+    0x3fec89f587029c13,     0x3fdcf34baee1cd21,     //  0.89184,   0.45235
+    0x3fec8fa287e13305,     0x3fdcdcdf5dc440ce,     //  0.89253,   0.45098
+    0x3fec954b213411f5,     0x3fdcc66e9931c45d,     //  0.89322,   0.44961
+    0x3fec9aef521bd480,     0x3fdcaff964a0421d,     //  0.89391,   0.44824
+    0x3feca08f19b9c449,     0x3fdc997fc3865388,     //   0.8946,   0.44687
+    0x3feca62a772fd919,     0x3fdc8301b95b40c2,     //  0.89528,    0.4455
+    0x3fecabc169a0b901,     0x3fdc6c7f4997000a,     //  0.89597,   0.44412
+    0x3fecb153f02fb87d,     0x3fdc55f877b23537,     //  0.89665,   0.44275
+    0x3fecb6e20a00da99,     0x3fdc3f6d47263129,     //  0.89732,   0.44137
+    0x3fecbc6bb638d10b,     0x3fdc28ddbb6cf145,     //    0.898,   0.43999
+    0x3fecc1f0f3fcfc5c,     0x3fdc1249d8011ee7,     //  0.89867,   0.43862
+    0x3fecc771c2736c09,     0x3fdbfbb1a05e0edc,     //  0.89935,   0.43724
+    0x3fecccee20c2de9f,     0x3fdbe51517ffc0d9,     //  0.90002,   0.43586
+    0x3fecd2660e12c1e6,     0x3fdbce744262deee,     //  0.90068,   0.43448
+    0x3fecd7d9898b32f6,     0x3fdbb7cf2304bd01,     //  0.90135,   0.43309
+    0x3fecdd489254fe65,     0x3fdba125bd63583e,     //  0.90201,   0.43171
+    0x3fece2b32799a060,     0x3fdb8a7814fd5693,     //  0.90267,   0.43033
+    0x3fece819488344ce,     0x3fdb73c62d520624,     //  0.90333,   0.42894
+    0x3feced7af43cc773,     0x3fdb5d1009e15cc0,     //  0.90399,   0.42756
+    0x3fecf2d829f1b40e,     0x3fdb4655ae2bf757,     //  0.90464,   0.42617
+    0x3fecf830e8ce467b,     0x3fdb2f971db31972,     //   0.9053,   0.42478
+    0x3fecfd852fff6ad4,     0x3fdb18d45bf8aca6,     //  0.90595,   0.42339
+    0x3fed02d4feb2bd92,     0x3fdb020d6c7f4009,     //   0.9066,     0.422
+    0x3fed082054168bac,     0x3fdaeb4252ca07ab,     //  0.90724,   0.42061
+    0x3fed0d672f59d2b9,     0x3fdad473125cdc08,     //  0.90789,   0.41922
+    0x3fed12a98fac410c,     0x3fdabd9faebc3980,     //  0.90853,   0.41782
+    0x3fed17e7743e35dc,     0x3fdaa6c82b6d3fc9,     //  0.90917,   0.41643
+    0x3fed1d20dc40c15c,     0x3fda8fec8bf5b166,     //  0.90981,   0.41503
+    0x3fed2255c6e5a4e1,     0x3fda790cd3dbf31a,     //  0.91044,   0.41364
+    0x3fed2786335f52fc,     0x3fda622906a70b63,     //  0.91107,   0.41224
+    0x3fed2cb220e0ef9f,     0x3fda4b4127dea1e4,     //  0.91171,   0.41084
+    0x3fed31d98e9e503a,     0x3fda34553b0afee5,     //  0.91234,   0.40944
+    0x3fed36fc7bcbfbdc,     0x3fda1d6543b50ac0,     //  0.91296,   0.40804
+    0x3fed3c1ae79f2b4e,     0x3fda067145664d57,     //  0.91359,   0.40664
+    0x3fed4134d14dc93a,     0x3fd9ef7943a8ed8a,     //  0.91421,   0.40524
+    0x3fed464a380e7242,     0x3fd9d87d4207b0ab,     //  0.91483,   0.40384
+    0x3fed4b5b1b187524,     0x3fd9c17d440df9f2,     //  0.91545,   0.40243
+    0x3fed506779a3d2d9,     0x3fd9aa794d47c9ee,     //  0.91606,   0.40103
+    0x3fed556f52e93eb1,     0x3fd993716141bdfe,     //  0.91668,   0.39962
+    0x3fed5a72a6221e73,     0x3fd97c6583890fc2,     //  0.91729,   0.39822
+    0x3fed5f7172888a7f,     0x3fd96555b7ab948f,     //   0.9179,   0.39681
+    0x3fed646bb7574de5,     0x3fd94e420137bce3,     //  0.91851,    0.3954
+    0x3fed696173c9e68b,     0x3fd9372a63bc93d7,     //  0.91911,   0.39399
+    0x3fed6e52a71c8547,     0x3fd9200ee2c9be97,     //  0.91972,   0.39258
+    0x3fed733f508c0dff,     0x3fd908ef81ef7bd1,     //  0.92032,   0.39117
+    0x3fed78276f5617c6,     0x3fd8f1cc44bea329,     //  0.92092,   0.38976
+    0x3fed7d0b02b8ecf9,     0x3fd8daa52ec8a4af,     //  0.92151,   0.38835
+    0x3fed81ea09f38b63,     0x3fd8c37a439f884f,     //  0.92211,   0.38693
+    0x3fed86c48445a450,     0x3fd8ac4b86d5ed44,     //   0.9227,   0.38552
+    0x3fed8b9a70ef9cb4,     0x3fd89518fbff098e,     //  0.92329,    0.3841
+    0x3fed906bcf328d46,     0x3fd87de2a6aea963,     //  0.92388,   0.38268
+    0x3fed95389e50429b,     0x3fd866a88a792ea0,     //  0.92447,   0.38127
+    0x3fed9a00dd8b3d46,     0x3fd84f6aaaf3903f,     //  0.92505,   0.37985
+    0x3fed9ec48c26b1f3,     0x3fd838290bb359c8,     //  0.92563,   0.37843
+    0x3feda383a9668988,     0x3fd820e3b04eaac4,     //  0.92621,   0.37701
+    0x3feda83e348f613b,     0x3fd8099a9c5c362d,     //  0.92679,   0.37559
+    0x3fedacf42ce68ab9,     0x3fd7f24dd37341e3,     //  0.92736,   0.37416
+    0x3fedb1a591b20c38,     0x3fd7dafd592ba621,     //  0.92794,   0.37274
+    0x3fedb6526238a09b,     0x3fd7c3a9311dcce7,     //  0.92851,   0.37132
+    0x3fedbafa9dc1b78d,     0x3fd7ac515ee2b172,     //  0.92907,   0.36989
+    0x3fedbf9e4395759a,     0x3fd794f5e613dfae,     //  0.92964,   0.36847
+    0x3fedc43d52fcb453,     0x3fd77d96ca4b73a6,     //  0.93021,   0.36704
+    0x3fedc8d7cb410260,     0x3fd766340f2418f6,     //  0.93077,   0.36561
+    0x3fedcd6dabaca3a5,     0x3fd74ecdb8390a3e,     //  0.93133,   0.36418
+    0x3fedd1fef38a915a,     0x3fd73763c9261092,     //  0.93188,   0.36276
+    0x3fedd68ba2267a25,     0x3fd71ff6458782ec,     //  0.93244,   0.36133
+    0x3feddb13b6ccc23d,     0x3fd7088530fa459e,     //  0.93299,    0.3599
+    0x3feddf9730ca837b,     0x3fd6f1108f1bc9c5,     //  0.93354,   0.35846
+    0x3fede4160f6d8d81,     0x3fd6d998638a0cb5,     //  0.93409,   0.35703
+    0x3fede890520465ce,     0x3fd6c21cb1e39771,     //  0.93464,    0.3556
+    0x3feded05f7de47da,     0x3fd6aa9d7dc77e16,     //  0.93518,   0.35416
+    0x3fedf177004b2534,     0x3fd6931acad55f51,     //  0.93573,   0.35273
+    0x3fedf5e36a9ba59c,     0x3fd67b949cad63ca,     //  0.93627,   0.35129
+    0x3fedfa4b3621271d,     0x3fd6640af6f03d9e,     //   0.9368,   0.34986
+    0x3fedfeae622dbe2b,     0x3fd64c7ddd3f27c6,     //  0.93734,   0.34842
+    0x3fee030cee1435b8,     0x3fd634ed533be58e,     //  0.93787,   0.34698
+    0x3fee0766d9280f54,     0x3fd61d595c88c203,     //   0.9384,   0.34554
+    0x3fee0bbc22bd8349,     0x3fd605c1fcc88f63,     //  0.93893,    0.3441
+    0x3fee100cca2980ac,     0x3fd5ee27379ea693,     //  0.93946,   0.34266
+    0x3fee1458cec1ad83,     0x3fd5d68910aee686,     //  0.93998,   0.34122
+    0x3fee18a02fdc66d9,     0x3fd5bee78b9db3b6,     //  0.94051,   0.33978
+    0x3fee1ce2ecd0c0d8,     0x3fd5a742ac0ff78d,     //  0.94103,   0.33833
+    0x3fee212104f686e5,     0x3fd58f9a75ab1fdd,     //  0.94154,   0.33689
+    0x3fee255a77a63bb8,     0x3fd577eeec151e47,     //  0.94206,   0.33545
+    0x3fee298f4439197a,     0x3fd5604012f467b4,     //  0.94257,     0.334
+    0x3fee2dbf6a0911d9,     0x3fd5488dedeff3be,     //  0.94308,   0.33255
+    0x3fee31eae870ce25,     0x3fd530d880af3c24,     //  0.94359,   0.33111
+    0x3fee3611becbaf69,     0x3fd5191fceda3c35,     //   0.9441,   0.32966
+    0x3fee3a33ec75ce85,     0x3fd50163dc197047,     //   0.9446,   0.32821
+    0x3fee3e5170cbfc46,     0x3fd4e9a4ac15d520,     //  0.94511,   0.32676
+    0x3fee426a4b2bc17e,     0x3fd4d1e24278e76a,     //  0.94561,   0.32531
+    0x3fee467e7af35f23,     0x3fd4ba1ca2eca31c,     //  0.94611,   0.32386
+    0x3fee4a8dff81ce5e,     0x3fd4a253d11b82f3,     //   0.9466,   0.32241
+    0x3fee4e98d836c0af,     0x3fd48a87d0b07fd7,     //  0.94709,   0.32096
+    0x3fee529f04729ffc,     0x3fd472b8a5571054,     //  0.94759,    0.3195
+    0x3fee56a083968eb1,     0x3fd45ae652bb2800,     //  0.94807,   0.31805
+    0x3fee5a9d550467d3,     0x3fd44310dc8936f0,     //  0.94856,   0.31659
+    0x3fee5e95781ebf1c,     0x3fd42b38466e2928,     //  0.94905,   0.31514
+    0x3fee6288ec48e112,     0x3fd4135c94176602,     //  0.94953,   0.31368
+    0x3fee6677b0e6d31e,     0x3fd3fb7dc932cfa4,     //  0.95001,   0.31222
+    0x3fee6a61c55d53a7,     0x3fd3e39be96ec271,     //  0.95049,   0.31077
+    0x3fee6e472911da27,     0x3fd3cbb6f87a146e,     //  0.95096,   0.30931
+    0x3fee7227db6a9744,     0x3fd3b3cefa0414b7,     //  0.95144,   0.30785
+    0x3fee7603dbce74e9,     0x3fd39be3f1bc8aef,     //  0.95191,   0.30639
+    0x3fee79db29a5165a,     0x3fd383f5e353b6aa,     //  0.95238,   0.30493
+    0x3fee7dadc456d850,     0x3fd36c04d27a4edf,     //  0.95284,   0.30347
+    0x3fee817bab4cd10d,     0x3fd35410c2e18152,     //  0.95331,   0.30201
+    0x3fee8544ddf0d075,     0x3fd33c19b83af207,     //  0.95377,   0.30054
+    0x3fee89095bad6025,     0x3fd3241fb638baaf,     //  0.95423,   0.29908
+    0x3fee8cc923edc388,     0x3fd30c22c08d6a13,     //  0.95469,   0.29762
+    0x3fee9084361df7f3,     0x3fd2f422daec0386,     //  0.95514,   0.29615
+    0x3fee943a91aab4b4,     0x3fd2dc200907fe51,     //  0.95559,   0.29469
+    0x3fee97ec36016b30,     0x3fd2c41a4e954520,     //  0.95605,   0.29322
+    0x3fee9b99229046f8,     0x3fd2ac11af483572,     //  0.95649,   0.29175
+    0x3fee9f4156c62dda,     0x3fd294062ed59f05,     //  0.95694,   0.29028
+    0x3feea2e4d212c000,     0x3fd27bf7d0f2c346,     //  0.95738,   0.28882
+    0x3feea68393e65800,     0x3fd263e6995554ba,     //  0.95783,   0.28735
+    0x3feeaa1d9bb20af3,     0x3fd24bd28bb37672,     //  0.95827,   0.28588
+    0x3feeadb2e8e7a88e,     0x3fd233bbabc3bb72,     //   0.9587,   0.28441
+    0x3feeb1437af9bb34,     0x3fd21ba1fd3d2623,     //  0.95914,   0.28294
+    0x3feeb4cf515b8811,     0x3fd2038583d727bd,     //  0.95957,   0.28146
+    0x3feeb8566b810f2a,     0x3fd1eb6643499fbb,     //     0.96,   0.27999
+    0x3feebbd8c8df0b74,     0x3fd1d3443f4cdb3d,     //  0.96043,   0.27852
+    0x3feebf5668eaf2ef,     0x3fd1bb1f7b999480,     //  0.96086,   0.27705
+    0x3feec2cf4b1af6b2,     0x3fd1a2f7fbe8f243,     //  0.96128,   0.27557
+    0x3feec6436ee60309,     0x3fd18acdc3f4873a,     //   0.9617,    0.2741
+    0x3feec9b2d3c3bf84,     0x3fd172a0d7765177,     //  0.96212,   0.27262
+    0x3feecd1d792c8f10,     0x3fd15a713a28b9d9,     //  0.96254,   0.27115
+    0x3feed0835e999009,     0x3fd1423eefc69378,     //  0.96295,   0.26967
+    0x3feed3e483849c51,     0x3fd12a09fc0b1b12,     //  0.96337,   0.26819
+    0x3feed740e7684963,     0x3fd111d262b1f677,     //  0.96378,   0.26671
+    0x3feeda9889bfe86a,     0x3fd0f998277733f7,     //  0.96418,   0.26523
+    0x3feeddeb6a078651,     0x3fd0e15b4e1749cd,     //  0.96459,   0.26375
+    0x3feee13987bbebdc,     0x3fd0c91bda4f158d,     //  0.96499,   0.26227
+    0x3feee482e25a9dbc,     0x3fd0b0d9cfdbdb90,     //  0.96539,   0.26079
+    0x3feee7c77961dc9e,     0x3fd09895327b465e,     //  0.96579,   0.25931
+    0x3feeeb074c50a544,     0x3fd0804e05eb661e,     //  0.96619,   0.25783
+    0x3feeee425aa6b09a,     0x3fd068044deab002,     //  0.96658,   0.25635
+    0x3feef178a3e473c2,     0x3fd04fb80e37fdae,     //  0.96698,   0.25487
+    0x3feef4aa278b2032,     0x3fd037694a928cac,     //  0.96737,   0.25338
+    0x3feef7d6e51ca3c0,     0x3fd01f1806b9fdd2,     //  0.96775,    0.2519
+    0x3feefafedc1ba8b7,     0x3fd006c4466e54af,     //  0.96814,   0.25041
+    0x3feefe220c0b95ec,     0x3fcfdcdc1adfedf8,     //  0.96852,   0.24893
+    0x3fef014074708ed3,     0x3fcfac2abeff57ff,     //   0.9689,   0.24744
+    0x3fef045a14cf738c,     0x3fcf7b7480bd3801,     //  0.96928,   0.24596
+    0x3fef076eecade0fa,     0x3fcf4ab9679c9f5c,     //  0.96966,   0.24447
+    0x3fef0a7efb9230d7,     0x3fcf19f97b215f1a,     //  0.97003,   0.24298
+    0x3fef0d8a410379c5,     0x3fcee934c2d006c7,     //   0.9704,   0.24149
+    0x3fef1090bc898f5f,     0x3fceb86b462de348,     //  0.97077,      0.24
+    0x3fef13926dad024e,     0x3fce879d0cc0fdaf,     //  0.97114,   0.23851
+    0x3fef168f53f7205d,     0x3fce56ca1e101a1b,     //   0.9715,   0.23702
+    0x3fef19876ef1f486,     0x3fce25f281a2b684,     //  0.97187,   0.23553
+    0x3fef1c7abe284708,     0x3fcdf5163f01099a,     //  0.97223,   0.23404
+    0x3fef1f6941259d7a,     0x3fcdc4355db40195,     //  0.97258,   0.23255
+    0x3fef2252f7763ada,     0x3fcd934fe5454311,     //  0.97294,   0.23106
+    0x3fef2537e0a71f9f,     0x3fcd6265dd3f27e3,     //  0.97329,   0.22957
+    0x3fef2817fc4609ce,     0x3fcd31774d2cbdee,     //  0.97364,   0.22807
+    0x3fef2af349e17507,     0x3fcd00843c99c5f9,     //  0.97399,   0.22658
+    0x3fef2dc9c9089a9d,     0x3fcccf8cb312b286,     //  0.97434,   0.22508
+    0x3fef309b794b719f,     0x3fcc9e90b824a6a9,     //  0.97468,   0.22359
+    0x3fef33685a3aaef0,     0x3fcc6d90535d74dc,     //  0.97503,   0.22209
+    0x3fef36306b67c556,     0x3fcc3c8b8c4b9dd7,     //  0.97536,    0.2206
+    0x3fef38f3ac64e589,     0x3fcc0b826a7e4f63,     //   0.9757,    0.2191
+    0x3fef3bb21cc4fe47,     0x3fcbda74f5856330,     //  0.97604,    0.2176
+    0x3fef3e6bbc1bbc65,     0x3fcba96334f15dad,     //  0.97637,   0.21611
+    0x3fef412089fd8adc,     0x3fcb784d30536cda,     //   0.9767,   0.21461
+    0x3fef43d085ff92dd,     0x3fcb4732ef3d6722,     //  0.97703,   0.21311
+    0x3fef467bafb7bbe0,     0x3fcb16147941ca2a,     //  0.97735,   0.21161
+    0x3fef492206bcabb4,     0x3fcae4f1d5f3b9ab,     //  0.97768,   0.21011
+    0x3fef4bc38aa5c694,     0x3fcab3cb0ce6fe44,     //    0.978,   0.20861
+    0x3fef4e603b0b2f2d,     0x3fca82a025b00451,     //  0.97832,   0.20711
+    0x3fef50f81785c6b9,     0x3fca517127e3dabc,     //  0.97863,   0.20561
+    0x3fef538b1faf2d07,     0x3fca203e1b1831da,     //  0.97895,   0.20411
+    0x3fef56195321c090,     0x3fc9ef0706e35a35,     //  0.97926,   0.20261
+    0x3fef58a2b1789e84,     0x3fc9bdcbf2dc4366,     //  0.97957,    0.2011
+    0x3fef5b273a4fa2d9,     0x3fc98c8ce69a7aec,     //  0.97988,    0.1996
+    0x3fef5da6ed43685d,     0x3fc95b49e9b62af9,     //  0.98018,    0.1981
+    0x3fef6021c9f148c2,     0x3fc92a0303c8194f,     //  0.98048,   0.19659
+    0x3fef6297cff75cb0,     0x3fc8f8b83c69a60a,     //  0.98079,   0.19509
+    0x3fef6508fef47bd5,     0x3fc8c7699b34ca7e,     //  0.98108,   0.19359
+    0x3fef677556883cee,     0x3fc8961727c41804,     //  0.98138,   0.19208
+    0x3fef69dcd652f5de,     0x3fc864c0e9b2b6cf,     //  0.98167,   0.19057
+    0x3fef6c3f7df5bbb7,     0x3fc83366e89c64c5,     //  0.98196,   0.18907
+    0x3fef6e9d4d1262ca,     0x3fc802092c1d744b,     //  0.98225,   0.18756
+    0x3fef70f6434b7eb7,     0x3fc7d0a7bbd2cb1b,     //  0.98254,   0.18606
+    0x3fef734a60446279,     0x3fc79f429f59e11d,     //  0.98282,   0.18455
+    0x3fef7599a3a12077,     0x3fc76dd9de50bf31,     //  0.98311,   0.18304
+    0x3fef77e40d068a90,     0x3fc73c6d8055fe0a,     //  0.98339,   0.18153
+    0x3fef7a299c1a322a,     0x3fc70afd8d08c4ff,     //  0.98366,   0.18002
+    0x3fef7c6a50826840,     0x3fc6d98a0c08c8da,     //  0.98394,   0.17851
+    0x3fef7ea629e63d6e,     0x3fc6a81304f64ab2,     //  0.98421,     0.177
+    0x3fef80dd27ed8204,     0x3fc676987f7216b8,     //  0.98448,   0.17549
+    0x3fef830f4a40c60c,     0x3fc6451a831d830d,     //  0.98475,   0.17398
+    0x3fef853c9089595e,     0x3fc61399179a6e94,     //  0.98501,   0.17247
+    0x3fef8764fa714ba9,     0x3fc5e214448b3fc6,     //  0.98528,   0.17096
+    0x3fef898887a36c84,     0x3fc5b08c1192e381,     //  0.98554,   0.16945
+    0x3fef8ba737cb4b78,     0x3fc57f008654cbde,     //   0.9858,   0.16794
+    0x3fef8dc10a95380d,     0x3fc54d71aa74ef02,     //  0.98605,   0.16643
+    0x3fef8fd5ffae41db,     0x3fc51bdf8597c5f2,     //  0.98631,   0.16491
+    0x3fef91e616c43891,     0x3fc4ea4a1f624b61,     //  0.98656,    0.1634
+    0x3fef93f14f85ac08,     0x3fc4b8b17f79fa88,     //  0.98681,   0.16189
+    0x3fef95f7a9a1ec47,     0x3fc48715ad84cdf5,     //  0.98706,   0.16037
+    0x3fef97f924c9099b,     0x3fc45576b1293e5a,     //   0.9873,   0.15886
+    0x3fef99f5c0abd496,     0x3fc423d4920e4166,     //  0.98754,   0.15734
+    0x3fef9bed7cfbde29,     0x3fc3f22f57db4893,     //  0.98778,   0.15583
+    0x3fef9de0596b77a3,     0x3fc3c0870a383ff6,     //  0.98802,   0.15431
+    0x3fef9fce55adb2c8,     0x3fc38edbb0cd8d14,     //  0.98826,    0.1528
+    0x3fefa1b7717661d5,     0x3fc35d2d53440db2,     //  0.98849,   0.15128
+    0x3fefa39bac7a1791,     0x3fc32b7bf94516a7,     //  0.98872,   0.14976
+    0x3fefa57b066e2754,     0x3fc2f9c7aa7a72af,     //  0.98895,   0.14825
+    0x3fefa7557f08a517,     0x3fc2c8106e8e613a,     //  0.98918,   0.14673
+    0x3fefa92b1600657c,     0x3fc296564d2b953e,     //   0.9894,   0.14521
+    0x3fefaafbcb0cfddc,     0x3fc264994dfd340a,     //  0.98962,    0.1437
+    0x3fefacc79de6c44f,     0x3fc232d978aed413,     //  0.98984,   0.14218
+    0x3fefae8e8e46cfbb,     0x3fc20116d4ec7bce,     //  0.99006,   0.14066
+    0x3fefb0509be6f7db,     0x3fc1cf516a62a077,     //  0.99027,   0.13914
+    0x3fefb20dc681d54d,     0x3fc19d8940be24e7,     //  0.99049,   0.13762
+    0x3fefb3c60dd2c199,     0x3fc16bbe5fac5865,     //   0.9907,    0.1361
+    0x3fefb5797195d741,     0x3fc139f0cedaf576,     //   0.9909,   0.13458
+    0x3fefb727f187f1c7,     0x3fc1082095f820b0,     //  0.99111,   0.13306
+    0x3fefb8d18d66adb7,     0x3fc0d64dbcb26786,     //  0.99131,   0.13154
+    0x3fefba7644f068b5,     0x3fc0a4784ab8bf1d,     //  0.99151,   0.13002
+    0x3fefbc1617e44186,     0x3fc072a047ba831d,     //  0.99171,    0.1285
+    0x3fefbdb106021816,     0x3fc040c5bb67747e,     //  0.99191,   0.12698
+    0x3fefbf470f0a8d88,     0x3fc00ee8ad6fb85b,     //   0.9921,   0.12545
+    0x3fefc0d832bf043a,     0x3fbfba124b07ad85,     //  0.99229,   0.12393
+    0x3fefc26470e19fd3,     0x3fbf564e56a9730e,     //  0.99248,   0.12241
+    0x3fefc3ebc935454c,     0x3fbef2858d27561b,     //  0.99267,   0.12089
+    0x3fefc56e3b7d9af6,     0x3fbe8eb7fde4aa3e,     //  0.99285,   0.11937
+    0x3fefc6ebc77f0887,     0x3fbe2ae5b8457f77,     //  0.99303,   0.11784
+    0x3fefc8646cfeb721,     0x3fbdc70ecbae9fc8,     //  0.99321,   0.11632
+    0x3fefc9d82bc2915e,     0x3fbd633347858ce4,     //  0.99339,   0.11479
+    0x3fefcb4703914354,     0x3fbcff533b307dc1,     //  0.99356,   0.11327
+    0x3fefccb0f4323aa3,     0x3fbc9b6eb6165c42,     //  0.99374,   0.11175
+    0x3fefce15fd6da67b,     0x3fbc3785c79ec2d5,     //  0.99391,   0.11022
+    0x3fefcf761f0c77a3,     0x3fbbd3987f31fa0e,     //  0.99407,    0.1087
+    0x3fefd0d158d86087,     0x3fbb6fa6ec38f64c,     //  0.99424,   0.10717
+    0x3fefd227aa9bd53b,     0x3fbb0bb11e1d5559,     //   0.9944,   0.10565
+    0x3fefd37914220b84,     0x3fbaa7b724495c04,     //  0.99456,   0.10412
+    0x3fefd4c59536fae4,     0x3fba43b90e27f3c4,     //  0.99472,    0.1026
+    0x3fefd60d2da75c9e,     0x3fb9dfb6eb24a85c,     //  0.99488,   0.10107
+    0x3fefd74fdd40abbf,     0x3fb97bb0caaba56f,     //  0.99503,  0.099544
+    0x3fefd88da3d12526,     0x3fb917a6bc29b42c,     //  0.99518,  0.098017
+    0x3fefd9c68127c78c,     0x3fb8b398cf0c38e0,     //  0.99533,   0.09649
+    0x3fefdafa7514538c,     0x3fb84f8712c130a0,     //  0.99548,  0.094963
+    0x3fefdc297f674ba9,     0x3fb7eb7196b72ee4,     //  0.99563,  0.093436
+    0x3fefdd539ff1f456,     0x3fb787586a5d5b21,     //  0.99577,  0.091909
+    0x3fefde78d68653fd,     0x3fb7233b9d236e71,     //  0.99591,  0.090381
+    0x3fefdf9922f73307,     0x3fb6bf1b3e79b129,     //  0.99604,  0.088854
+    0x3fefe0b485181be3,     0x3fb65af75dd0f87b,     //  0.99618,  0.087326
+    0x3fefe1cafcbd5b09,     0x3fb5f6d00a9aa419,     //  0.99631,  0.085797
+    0x3fefe2dc89bbff08,     0x3fb592a554489bc8,     //  0.99644,  0.084269
+    0x3fefe3e92be9d886,     0x3fb52e774a4d4d0a,     //  0.99657,   0.08274
+    0x3fefe4f0e31d7a4a,     0x3fb4ca45fc1ba8b6,     //   0.9967,  0.081211
+    0x3fefe5f3af2e3940,     0x3fb4661179272096,     //  0.99682,  0.079682
+    0x3fefe6f18ff42c84,     0x3fb401d9d0e3a507,     //  0.99694,  0.078153
+    0x3fefe7ea85482d60,     0x3fb39d9f12c5a299,     //  0.99706,  0.076624
+    0x3fefe8de8f03d75c,     0x3fb339614e41ffa5,     //  0.99718,  0.075094
+    0x3fefe9cdad01883a,     0x3fb2d52092ce19f6,     //  0.99729,  0.073565
+    0x3fefeab7df1c6005,     0x3fb270dcefdfc45b,     //   0.9974,  0.072035
+    0x3fefeb9d2530410f,     0x3fb20c9674ed444c,     //  0.99751,  0.070505
+    0x3fefec7d7f19cffc,     0x3fb1a84d316d4f8a,     //  0.99762,  0.068974
+    0x3fefed58ecb673c4,     0x3fb1440134d709b2,     //  0.99772,  0.067444
+    0x3fefee2f6de455ba,     0x3fb0dfb28ea201e6,     //  0.99783,  0.065913
+    0x3fefef0102826191,     0x3fb07b614e463064,     //  0.99793,  0.064383
+    0x3fefefcdaa704562,     0x3fb0170d833bf421,     //  0.99802,  0.062852
+    0x3feff095658e71ad,     0x3faf656e79f820e0,     //  0.99812,  0.061321
+    0x3feff15833be1965,     0x3fae9cbd15ff5527,     //  0.99821,   0.05979
+    0x3feff21614e131ed,     0x3fadd406f9808ec8,     //   0.9983,  0.058258
+    0x3feff2cf08da7321,     0x3fad0b4c436f91d0,     //  0.99839,  0.056727
+    0x3feff3830f8d575c,     0x3fac428d12c0d7e3,     //  0.99848,  0.055195
+    0x3feff43228de1b77,     0x3fab79c986698b78,     //  0.99856,  0.053664
+    0x3feff4dc54b1bed3,     0x3faab101bd5f8317,     //  0.99864,  0.052132
+    0x3feff58192ee0358,     0x3fa9e835d6993c87,     //  0.99872,    0.0506
+    0x3feff621e3796d7e,     0x3fa91f65f10dd814,     //   0.9988,  0.049068
+    0x3feff6bd463b444d,     0x3fa856922bb513c1,     //  0.99887,  0.047535
+    0x3feff753bb1b9164,     0x3fa78dbaa5874685,     //  0.99894,  0.046003
+    0x3feff7e5420320f9,     0x3fa6c4df7d7d5b84,     //  0.99901,  0.044471
+    0x3feff871dadb81df,     0x3fa5fc00d290cd43,     //  0.99908,  0.042938
+    0x3feff8f9858f058b,     0x3fa5331ec3bba0eb,     //  0.99914,  0.041406
+    0x3feff97c4208c014,     0x3fa46a396ff86179,     //   0.9992,  0.039873
+    0x3feff9fa10348837,     0x3fa3a150f6421afc,     //  0.99926,   0.03834
+    0x3feffa72effef75d,     0x3fa2d865759455cd,     //  0.99932,  0.036807
+    0x3feffae6e1556998,     0x3fa20f770ceb11c6,     //  0.99938,  0.035274
+    0x3feffb55e425fdae,     0x3fa14685db42c17e,     //  0.99943,  0.033741
+    0x3feffbbff85f9515,     0x3fa07d91ff984580,     //  0.99948,  0.032208
+    0x3feffc251df1d3f8,     0x3f9f693731d1cf01,     //  0.99953,  0.030675
+    0x3feffc8554cd213a,     0x3f9dd7458c64ab39,     //  0.99958,  0.029142
+    0x3feffce09ce2a679,     0x3f9c454f4ce53b1c,     //  0.99962,  0.027608
+    0x3feffd36f624500c,     0x3f9ab354b1504fca,     //  0.99966,  0.026075
+    0x3feffd886084cd0d,     0x3f992155f7a3667e,     //   0.9997,  0.024541
+    0x3feffdd4dbf78f52,     0x3f978f535ddc9f03,     //  0.99974,  0.023008
+    0x3feffe1c6870cb77,     0x3f95fd4d21fab226,     //  0.99977,  0.021474
+    0x3feffe5f05e578db,     0x3f946b4381fce81c,     //   0.9998,   0.01994
+    0x3feffe9cb44b51a1,     0x3f92d936bbe30efd,     //  0.99983,  0.018407
+    0x3feffed57398d2b7,     0x3f9147270dad7132,     //  0.99986,  0.016873
+    0x3fefff0943c53bd1,     0x3f8f6a296ab997ca,     //  0.99988,  0.015339
+    0x3fefff3824c88f6f,     0x3f8c45ffe1e48ad9,     //   0.9999,  0.013805
+    0x3fefff62169b92db,     0x3f8921d1fcdec784,     //  0.99992,  0.012272
+    0x3fefff871937ce2f,     0x3f85fda037ac05e0,     //  0.99994,  0.010738
+    0x3fefffa72c978c4f,     0x3f82d96b0e509703,     //  0.99996, 0.0092038
+    0x3fefffc250b5daef,     0x3f7f6a65f9a2a3c5,     //  0.99997, 0.0076698
+    0x3fefffd8858e8a92,     0x3f7921f0fe670071,     //  0.99998, 0.0061359
+    0x3fefffe9cb1e2e8d,     0x3f72d97822f996bc,     //  0.99999, 0.0046019
+    0x3feffff621621d02,     0x3f6921f8becca4ba,     //        1,  0.003068
+    0x3feffffd88586ee6,     0x3f5921faaee6472d,     //        1,  0.001534
+    0x3ff0000000000000,     0x0000000000000000,     //        1,         0
+    0x3feffffd88586ee6,     0xbf5921faaee6472d,     //        1, -0.001534
+    0x3feffff621621d02,     0xbf6921f8becca4ba,     //        1, -0.003068
+    0x3fefffe9cb1e2e8d,     0xbf72d97822f996bc,     //  0.99999,-0.0046019
+    0x3fefffd8858e8a92,     0xbf7921f0fe670071,     //  0.99998,-0.0061359
+    0x3fefffc250b5daef,     0xbf7f6a65f9a2a3c5,     //  0.99997,-0.0076698
+    0x3fefffa72c978c4f,     0xbf82d96b0e509703,     //  0.99996,-0.0092038
+    0x3fefff871937ce2f,     0xbf85fda037ac05e0,     //  0.99994, -0.010738
+    0x3fefff62169b92db,     0xbf8921d1fcdec784,     //  0.99992, -0.012272
+    0x3fefff3824c88f6f,     0xbf8c45ffe1e48ad9,     //   0.9999, -0.013805
+    0x3fefff0943c53bd1,     0xbf8f6a296ab997ca,     //  0.99988, -0.015339
+    0x3feffed57398d2b7,     0xbf9147270dad7132,     //  0.99986, -0.016873
+    0x3feffe9cb44b51a1,     0xbf92d936bbe30efd,     //  0.99983, -0.018407
+    0x3feffe5f05e578db,     0xbf946b4381fce81c,     //   0.9998,  -0.01994
+    0x3feffe1c6870cb77,     0xbf95fd4d21fab226,     //  0.99977, -0.021474
+    0x3feffdd4dbf78f52,     0xbf978f535ddc9f03,     //  0.99974, -0.023008
+    0x3feffd886084cd0d,     0xbf992155f7a3667e,     //   0.9997, -0.024541
+    0x3feffd36f624500c,     0xbf9ab354b1504fca,     //  0.99966, -0.026075
+    0x3feffce09ce2a679,     0xbf9c454f4ce53b1c,     //  0.99962, -0.027608
+    0x3feffc8554cd213a,     0xbf9dd7458c64ab39,     //  0.99958, -0.029142
+    0x3feffc251df1d3f8,     0xbf9f693731d1cf01,     //  0.99953, -0.030675
+    0x3feffbbff85f9515,     0xbfa07d91ff984580,     //  0.99948, -0.032208
+    0x3feffb55e425fdae,     0xbfa14685db42c17e,     //  0.99943, -0.033741
+    0x3feffae6e1556998,     0xbfa20f770ceb11c6,     //  0.99938, -0.035274
+    0x3feffa72effef75d,     0xbfa2d865759455cd,     //  0.99932, -0.036807
+    0x3feff9fa10348837,     0xbfa3a150f6421afc,     //  0.99926,  -0.03834
+    0x3feff97c4208c014,     0xbfa46a396ff86179,     //   0.9992, -0.039873
+    0x3feff8f9858f058b,     0xbfa5331ec3bba0eb,     //  0.99914, -0.041406
+    0x3feff871dadb81df,     0xbfa5fc00d290cd43,     //  0.99908, -0.042938
+    0x3feff7e5420320f9,     0xbfa6c4df7d7d5b84,     //  0.99901, -0.044471
+    0x3feff753bb1b9164,     0xbfa78dbaa5874685,     //  0.99894, -0.046003
+    0x3feff6bd463b444d,     0xbfa856922bb513c1,     //  0.99887, -0.047535
+    0x3feff621e3796d7e,     0xbfa91f65f10dd814,     //   0.9988, -0.049068
+    0x3feff58192ee0358,     0xbfa9e835d6993c87,     //  0.99872,   -0.0506
+    0x3feff4dc54b1bed3,     0xbfaab101bd5f8317,     //  0.99864, -0.052132
+    0x3feff43228de1b77,     0xbfab79c986698b78,     //  0.99856, -0.053664
+    0x3feff3830f8d575c,     0xbfac428d12c0d7e3,     //  0.99848, -0.055195
+    0x3feff2cf08da7321,     0xbfad0b4c436f91d0,     //  0.99839, -0.056727
+    0x3feff21614e131ed,     0xbfadd406f9808ec8,     //   0.9983, -0.058258
+    0x3feff15833be1965,     0xbfae9cbd15ff5527,     //  0.99821,  -0.05979
+    0x3feff095658e71ad,     0xbfaf656e79f820e0,     //  0.99812, -0.061321
+    0x3fefefcdaa704562,     0xbfb0170d833bf421,     //  0.99802, -0.062852
+    0x3fefef0102826191,     0xbfb07b614e463064,     //  0.99793, -0.064383
+    0x3fefee2f6de455ba,     0xbfb0dfb28ea201e6,     //  0.99783, -0.065913
+    0x3fefed58ecb673c4,     0xbfb1440134d709b2,     //  0.99772, -0.067444
+    0x3fefec7d7f19cffc,     0xbfb1a84d316d4f8a,     //  0.99762, -0.068974
+    0x3fefeb9d2530410f,     0xbfb20c9674ed444c,     //  0.99751, -0.070505
+    0x3fefeab7df1c6005,     0xbfb270dcefdfc45b,     //   0.9974, -0.072035
+    0x3fefe9cdad01883a,     0xbfb2d52092ce19f6,     //  0.99729, -0.073565
+    0x3fefe8de8f03d75c,     0xbfb339614e41ffa5,     //  0.99718, -0.075094
+    0x3fefe7ea85482d60,     0xbfb39d9f12c5a299,     //  0.99706, -0.076624
+    0x3fefe6f18ff42c84,     0xbfb401d9d0e3a507,     //  0.99694, -0.078153
+    0x3fefe5f3af2e3940,     0xbfb4661179272096,     //  0.99682, -0.079682
+    0x3fefe4f0e31d7a4a,     0xbfb4ca45fc1ba8b6,     //   0.9967, -0.081211
+    0x3fefe3e92be9d886,     0xbfb52e774a4d4d0a,     //  0.99657,  -0.08274
+    0x3fefe2dc89bbff08,     0xbfb592a554489bc8,     //  0.99644, -0.084269
+    0x3fefe1cafcbd5b09,     0xbfb5f6d00a9aa419,     //  0.99631, -0.085797
+    0x3fefe0b485181be3,     0xbfb65af75dd0f87b,     //  0.99618, -0.087326
+    0x3fefdf9922f73307,     0xbfb6bf1b3e79b129,     //  0.99604, -0.088854
+    0x3fefde78d68653fd,     0xbfb7233b9d236e71,     //  0.99591, -0.090381
+    0x3fefdd539ff1f456,     0xbfb787586a5d5b21,     //  0.99577, -0.091909
+    0x3fefdc297f674ba9,     0xbfb7eb7196b72ee4,     //  0.99563, -0.093436
+    0x3fefdafa7514538c,     0xbfb84f8712c130a0,     //  0.99548, -0.094963
+    0x3fefd9c68127c78c,     0xbfb8b398cf0c38e0,     //  0.99533,  -0.09649
+    0x3fefd88da3d12526,     0xbfb917a6bc29b42c,     //  0.99518, -0.098017
+    0x3fefd74fdd40abbf,     0xbfb97bb0caaba56f,     //  0.99503, -0.099544
+    0x3fefd60d2da75c9e,     0xbfb9dfb6eb24a85c,     //  0.99488,  -0.10107
+    0x3fefd4c59536fae4,     0xbfba43b90e27f3c4,     //  0.99472,   -0.1026
+    0x3fefd37914220b84,     0xbfbaa7b724495c04,     //  0.99456,  -0.10412
+    0x3fefd227aa9bd53b,     0xbfbb0bb11e1d5559,     //   0.9944,  -0.10565
+    0x3fefd0d158d86087,     0xbfbb6fa6ec38f64c,     //  0.99424,  -0.10717
+    0x3fefcf761f0c77a3,     0xbfbbd3987f31fa0e,     //  0.99407,   -0.1087
+    0x3fefce15fd6da67b,     0xbfbc3785c79ec2d5,     //  0.99391,  -0.11022
+    0x3fefccb0f4323aa3,     0xbfbc9b6eb6165c42,     //  0.99374,  -0.11175
+    0x3fefcb4703914354,     0xbfbcff533b307dc1,     //  0.99356,  -0.11327
+    0x3fefc9d82bc2915e,     0xbfbd633347858ce4,     //  0.99339,  -0.11479
+    0x3fefc8646cfeb721,     0xbfbdc70ecbae9fc8,     //  0.99321,  -0.11632
+    0x3fefc6ebc77f0887,     0xbfbe2ae5b8457f77,     //  0.99303,  -0.11784
+    0x3fefc56e3b7d9af6,     0xbfbe8eb7fde4aa3e,     //  0.99285,  -0.11937
+    0x3fefc3ebc935454c,     0xbfbef2858d27561b,     //  0.99267,  -0.12089
+    0x3fefc26470e19fd3,     0xbfbf564e56a9730e,     //  0.99248,  -0.12241
+    0x3fefc0d832bf043a,     0xbfbfba124b07ad85,     //  0.99229,  -0.12393
+    0x3fefbf470f0a8d88,     0xbfc00ee8ad6fb85b,     //   0.9921,  -0.12545
+    0x3fefbdb106021816,     0xbfc040c5bb67747e,     //  0.99191,  -0.12698
+    0x3fefbc1617e44186,     0xbfc072a047ba831d,     //  0.99171,   -0.1285
+    0x3fefba7644f068b5,     0xbfc0a4784ab8bf1d,     //  0.99151,  -0.13002
+    0x3fefb8d18d66adb7,     0xbfc0d64dbcb26786,     //  0.99131,  -0.13154
+    0x3fefb727f187f1c7,     0xbfc1082095f820b0,     //  0.99111,  -0.13306
+    0x3fefb5797195d741,     0xbfc139f0cedaf576,     //   0.9909,  -0.13458
+    0x3fefb3c60dd2c199,     0xbfc16bbe5fac5865,     //   0.9907,   -0.1361
+    0x3fefb20dc681d54d,     0xbfc19d8940be24e7,     //  0.99049,  -0.13762
+    0x3fefb0509be6f7db,     0xbfc1cf516a62a077,     //  0.99027,  -0.13914
+    0x3fefae8e8e46cfbb,     0xbfc20116d4ec7bce,     //  0.99006,  -0.14066
+    0x3fefacc79de6c44f,     0xbfc232d978aed413,     //  0.98984,  -0.14218
+    0x3fefaafbcb0cfddc,     0xbfc264994dfd340a,     //  0.98962,   -0.1437
+    0x3fefa92b1600657c,     0xbfc296564d2b953e,     //   0.9894,  -0.14521
+    0x3fefa7557f08a517,     0xbfc2c8106e8e613a,     //  0.98918,  -0.14673
+    0x3fefa57b066e2754,     0xbfc2f9c7aa7a72af,     //  0.98895,  -0.14825
+    0x3fefa39bac7a1791,     0xbfc32b7bf94516a7,     //  0.98872,  -0.14976
+    0x3fefa1b7717661d5,     0xbfc35d2d53440db2,     //  0.98849,  -0.15128
+    0x3fef9fce55adb2c8,     0xbfc38edbb0cd8d14,     //  0.98826,   -0.1528
+    0x3fef9de0596b77a3,     0xbfc3c0870a383ff6,     //  0.98802,  -0.15431
+    0x3fef9bed7cfbde29,     0xbfc3f22f57db4893,     //  0.98778,  -0.15583
+    0x3fef99f5c0abd496,     0xbfc423d4920e4166,     //  0.98754,  -0.15734
+    0x3fef97f924c9099b,     0xbfc45576b1293e5a,     //   0.9873,  -0.15886
+    0x3fef95f7a9a1ec47,     0xbfc48715ad84cdf5,     //  0.98706,  -0.16037
+    0x3fef93f14f85ac08,     0xbfc4b8b17f79fa88,     //  0.98681,  -0.16189
+    0x3fef91e616c43891,     0xbfc4ea4a1f624b61,     //  0.98656,   -0.1634
+    0x3fef8fd5ffae41db,     0xbfc51bdf8597c5f2,     //  0.98631,  -0.16491
+    0x3fef8dc10a95380d,     0xbfc54d71aa74ef02,     //  0.98605,  -0.16643
+    0x3fef8ba737cb4b78,     0xbfc57f008654cbde,     //   0.9858,  -0.16794
+    0x3fef898887a36c84,     0xbfc5b08c1192e381,     //  0.98554,  -0.16945
+    0x3fef8764fa714ba9,     0xbfc5e214448b3fc6,     //  0.98528,  -0.17096
+    0x3fef853c9089595e,     0xbfc61399179a6e94,     //  0.98501,  -0.17247
+    0x3fef830f4a40c60c,     0xbfc6451a831d830d,     //  0.98475,  -0.17398
+    0x3fef80dd27ed8204,     0xbfc676987f7216b8,     //  0.98448,  -0.17549
+    0x3fef7ea629e63d6e,     0xbfc6a81304f64ab2,     //  0.98421,    -0.177
+    0x3fef7c6a50826840,     0xbfc6d98a0c08c8da,     //  0.98394,  -0.17851
+    0x3fef7a299c1a322a,     0xbfc70afd8d08c4ff,     //  0.98366,  -0.18002
+    0x3fef77e40d068a90,     0xbfc73c6d8055fe0a,     //  0.98339,  -0.18153
+    0x3fef7599a3a12077,     0xbfc76dd9de50bf31,     //  0.98311,  -0.18304
+    0x3fef734a60446279,     0xbfc79f429f59e11d,     //  0.98282,  -0.18455
+    0x3fef70f6434b7eb7,     0xbfc7d0a7bbd2cb1b,     //  0.98254,  -0.18606
+    0x3fef6e9d4d1262ca,     0xbfc802092c1d744b,     //  0.98225,  -0.18756
+    0x3fef6c3f7df5bbb7,     0xbfc83366e89c64c5,     //  0.98196,  -0.18907
+    0x3fef69dcd652f5de,     0xbfc864c0e9b2b6cf,     //  0.98167,  -0.19057
+    0x3fef677556883cee,     0xbfc8961727c41804,     //  0.98138,  -0.19208
+    0x3fef6508fef47bd5,     0xbfc8c7699b34ca7e,     //  0.98108,  -0.19359
+    0x3fef6297cff75cb0,     0xbfc8f8b83c69a60a,     //  0.98079,  -0.19509
+    0x3fef6021c9f148c2,     0xbfc92a0303c8194f,     //  0.98048,  -0.19659
+    0x3fef5da6ed43685d,     0xbfc95b49e9b62af9,     //  0.98018,   -0.1981
+    0x3fef5b273a4fa2d9,     0xbfc98c8ce69a7aec,     //  0.97988,   -0.1996
+    0x3fef58a2b1789e84,     0xbfc9bdcbf2dc4366,     //  0.97957,   -0.2011
+    0x3fef56195321c090,     0xbfc9ef0706e35a35,     //  0.97926,  -0.20261
+    0x3fef538b1faf2d07,     0xbfca203e1b1831da,     //  0.97895,  -0.20411
+    0x3fef50f81785c6b9,     0xbfca517127e3dabc,     //  0.97863,  -0.20561
+    0x3fef4e603b0b2f2d,     0xbfca82a025b00451,     //  0.97832,  -0.20711
+    0x3fef4bc38aa5c694,     0xbfcab3cb0ce6fe44,     //    0.978,  -0.20861
+    0x3fef492206bcabb4,     0xbfcae4f1d5f3b9ab,     //  0.97768,  -0.21011
+    0x3fef467bafb7bbe0,     0xbfcb16147941ca2a,     //  0.97735,  -0.21161
+    0x3fef43d085ff92dd,     0xbfcb4732ef3d6722,     //  0.97703,  -0.21311
+    0x3fef412089fd8adc,     0xbfcb784d30536cda,     //   0.9767,  -0.21461
+    0x3fef3e6bbc1bbc65,     0xbfcba96334f15dad,     //  0.97637,  -0.21611
+    0x3fef3bb21cc4fe47,     0xbfcbda74f5856330,     //  0.97604,   -0.2176
+    0x3fef38f3ac64e589,     0xbfcc0b826a7e4f63,     //   0.9757,   -0.2191
+    0x3fef36306b67c556,     0xbfcc3c8b8c4b9dd7,     //  0.97536,   -0.2206
+    0x3fef33685a3aaef0,     0xbfcc6d90535d74dc,     //  0.97503,  -0.22209
+    0x3fef309b794b719f,     0xbfcc9e90b824a6a9,     //  0.97468,  -0.22359
+    0x3fef2dc9c9089a9d,     0xbfcccf8cb312b286,     //  0.97434,  -0.22508
+    0x3fef2af349e17507,     0xbfcd00843c99c5f9,     //  0.97399,  -0.22658
+    0x3fef2817fc4609ce,     0xbfcd31774d2cbdee,     //  0.97364,  -0.22807
+    0x3fef2537e0a71f9f,     0xbfcd6265dd3f27e3,     //  0.97329,  -0.22957
+    0x3fef2252f7763ada,     0xbfcd934fe5454311,     //  0.97294,  -0.23106
+    0x3fef1f6941259d7a,     0xbfcdc4355db40195,     //  0.97258,  -0.23255
+    0x3fef1c7abe284708,     0xbfcdf5163f01099a,     //  0.97223,  -0.23404
+    0x3fef19876ef1f486,     0xbfce25f281a2b684,     //  0.97187,  -0.23553
+    0x3fef168f53f7205d,     0xbfce56ca1e101a1b,     //   0.9715,  -0.23702
+    0x3fef13926dad024e,     0xbfce879d0cc0fdaf,     //  0.97114,  -0.23851
+    0x3fef1090bc898f5f,     0xbfceb86b462de348,     //  0.97077,     -0.24
+    0x3fef0d8a410379c5,     0xbfcee934c2d006c7,     //   0.9704,  -0.24149
+    0x3fef0a7efb9230d7,     0xbfcf19f97b215f1a,     //  0.97003,  -0.24298
+    0x3fef076eecade0fa,     0xbfcf4ab9679c9f5c,     //  0.96966,  -0.24447
+    0x3fef045a14cf738c,     0xbfcf7b7480bd3801,     //  0.96928,  -0.24596
+    0x3fef014074708ed3,     0xbfcfac2abeff57ff,     //   0.9689,  -0.24744
+    0x3feefe220c0b95ec,     0xbfcfdcdc1adfedf8,     //  0.96852,  -0.24893
+    0x3feefafedc1ba8b7,     0xbfd006c4466e54af,     //  0.96814,  -0.25041
+    0x3feef7d6e51ca3c0,     0xbfd01f1806b9fdd2,     //  0.96775,   -0.2519
+    0x3feef4aa278b2032,     0xbfd037694a928cac,     //  0.96737,  -0.25338
+    0x3feef178a3e473c2,     0xbfd04fb80e37fdae,     //  0.96698,  -0.25487
+    0x3feeee425aa6b09a,     0xbfd068044deab002,     //  0.96658,  -0.25635
+    0x3feeeb074c50a544,     0xbfd0804e05eb661e,     //  0.96619,  -0.25783
+    0x3feee7c77961dc9e,     0xbfd09895327b465e,     //  0.96579,  -0.25931
+    0x3feee482e25a9dbc,     0xbfd0b0d9cfdbdb90,     //  0.96539,  -0.26079
+    0x3feee13987bbebdc,     0xbfd0c91bda4f158d,     //  0.96499,  -0.26227
+    0x3feeddeb6a078651,     0xbfd0e15b4e1749cd,     //  0.96459,  -0.26375
+    0x3feeda9889bfe86a,     0xbfd0f998277733f7,     //  0.96418,  -0.26523
+    0x3feed740e7684963,     0xbfd111d262b1f677,     //  0.96378,  -0.26671
+    0x3feed3e483849c51,     0xbfd12a09fc0b1b12,     //  0.96337,  -0.26819
+    0x3feed0835e999009,     0xbfd1423eefc69378,     //  0.96295,  -0.26967
+    0x3feecd1d792c8f10,     0xbfd15a713a28b9d9,     //  0.96254,  -0.27115
+    0x3feec9b2d3c3bf84,     0xbfd172a0d7765177,     //  0.96212,  -0.27262
+    0x3feec6436ee60309,     0xbfd18acdc3f4873a,     //   0.9617,   -0.2741
+    0x3feec2cf4b1af6b2,     0xbfd1a2f7fbe8f243,     //  0.96128,  -0.27557
+    0x3feebf5668eaf2ef,     0xbfd1bb1f7b999480,     //  0.96086,  -0.27705
+    0x3feebbd8c8df0b74,     0xbfd1d3443f4cdb3d,     //  0.96043,  -0.27852
+    0x3feeb8566b810f2a,     0xbfd1eb6643499fbb,     //     0.96,  -0.27999
+    0x3feeb4cf515b8811,     0xbfd2038583d727bd,     //  0.95957,  -0.28146
+    0x3feeb1437af9bb34,     0xbfd21ba1fd3d2623,     //  0.95914,  -0.28294
+    0x3feeadb2e8e7a88e,     0xbfd233bbabc3bb72,     //   0.9587,  -0.28441
+    0x3feeaa1d9bb20af3,     0xbfd24bd28bb37672,     //  0.95827,  -0.28588
+    0x3feea68393e65800,     0xbfd263e6995554ba,     //  0.95783,  -0.28735
+    0x3feea2e4d212c000,     0xbfd27bf7d0f2c346,     //  0.95738,  -0.28882
+    0x3fee9f4156c62dda,     0xbfd294062ed59f05,     //  0.95694,  -0.29028
+    0x3fee9b99229046f8,     0xbfd2ac11af483572,     //  0.95649,  -0.29175
+    0x3fee97ec36016b30,     0xbfd2c41a4e954520,     //  0.95605,  -0.29322
+    0x3fee943a91aab4b4,     0xbfd2dc200907fe51,     //  0.95559,  -0.29469
+    0x3fee9084361df7f3,     0xbfd2f422daec0386,     //  0.95514,  -0.29615
+    0x3fee8cc923edc388,     0xbfd30c22c08d6a13,     //  0.95469,  -0.29762
+    0x3fee89095bad6025,     0xbfd3241fb638baaf,     //  0.95423,  -0.29908
+    0x3fee8544ddf0d075,     0xbfd33c19b83af207,     //  0.95377,  -0.30054
+    0x3fee817bab4cd10d,     0xbfd35410c2e18152,     //  0.95331,  -0.30201
+    0x3fee7dadc456d850,     0xbfd36c04d27a4edf,     //  0.95284,  -0.30347
+    0x3fee79db29a5165a,     0xbfd383f5e353b6aa,     //  0.95238,  -0.30493
+    0x3fee7603dbce74e9,     0xbfd39be3f1bc8aef,     //  0.95191,  -0.30639
+    0x3fee7227db6a9744,     0xbfd3b3cefa0414b7,     //  0.95144,  -0.30785
+    0x3fee6e472911da27,     0xbfd3cbb6f87a146e,     //  0.95096,  -0.30931
+    0x3fee6a61c55d53a7,     0xbfd3e39be96ec271,     //  0.95049,  -0.31077
+    0x3fee6677b0e6d31e,     0xbfd3fb7dc932cfa4,     //  0.95001,  -0.31222
+    0x3fee6288ec48e112,     0xbfd4135c94176602,     //  0.94953,  -0.31368
+    0x3fee5e95781ebf1c,     0xbfd42b38466e2928,     //  0.94905,  -0.31514
+    0x3fee5a9d550467d3,     0xbfd44310dc8936f0,     //  0.94856,  -0.31659
+    0x3fee56a083968eb1,     0xbfd45ae652bb2800,     //  0.94807,  -0.31805
+    0x3fee529f04729ffc,     0xbfd472b8a5571054,     //  0.94759,   -0.3195
+    0x3fee4e98d836c0af,     0xbfd48a87d0b07fd7,     //  0.94709,  -0.32096
+    0x3fee4a8dff81ce5e,     0xbfd4a253d11b82f3,     //   0.9466,  -0.32241
+    0x3fee467e7af35f23,     0xbfd4ba1ca2eca31c,     //  0.94611,  -0.32386
+    0x3fee426a4b2bc17e,     0xbfd4d1e24278e76a,     //  0.94561,  -0.32531
+    0x3fee3e5170cbfc46,     0xbfd4e9a4ac15d520,     //  0.94511,  -0.32676
+    0x3fee3a33ec75ce85,     0xbfd50163dc197047,     //   0.9446,  -0.32821
+    0x3fee3611becbaf69,     0xbfd5191fceda3c35,     //   0.9441,  -0.32966
+    0x3fee31eae870ce25,     0xbfd530d880af3c24,     //  0.94359,  -0.33111
+    0x3fee2dbf6a0911d9,     0xbfd5488dedeff3be,     //  0.94308,  -0.33255
+    0x3fee298f4439197a,     0xbfd5604012f467b4,     //  0.94257,    -0.334
+    0x3fee255a77a63bb8,     0xbfd577eeec151e47,     //  0.94206,  -0.33545
+    0x3fee212104f686e5,     0xbfd58f9a75ab1fdd,     //  0.94154,  -0.33689
+    0x3fee1ce2ecd0c0d8,     0xbfd5a742ac0ff78d,     //  0.94103,  -0.33833
+    0x3fee18a02fdc66d9,     0xbfd5bee78b9db3b6,     //  0.94051,  -0.33978
+    0x3fee1458cec1ad83,     0xbfd5d68910aee686,     //  0.93998,  -0.34122
+    0x3fee100cca2980ac,     0xbfd5ee27379ea693,     //  0.93946,  -0.34266
+    0x3fee0bbc22bd8349,     0xbfd605c1fcc88f63,     //  0.93893,   -0.3441
+    0x3fee0766d9280f54,     0xbfd61d595c88c203,     //   0.9384,  -0.34554
+    0x3fee030cee1435b8,     0xbfd634ed533be58e,     //  0.93787,  -0.34698
+    0x3fedfeae622dbe2b,     0xbfd64c7ddd3f27c6,     //  0.93734,  -0.34842
+    0x3fedfa4b3621271d,     0xbfd6640af6f03d9e,     //   0.9368,  -0.34986
+    0x3fedf5e36a9ba59c,     0xbfd67b949cad63ca,     //  0.93627,  -0.35129
+    0x3fedf177004b2534,     0xbfd6931acad55f51,     //  0.93573,  -0.35273
+    0x3feded05f7de47da,     0xbfd6aa9d7dc77e16,     //  0.93518,  -0.35416
+    0x3fede890520465ce,     0xbfd6c21cb1e39771,     //  0.93464,   -0.3556
+    0x3fede4160f6d8d81,     0xbfd6d998638a0cb5,     //  0.93409,  -0.35703
+    0x3feddf9730ca837b,     0xbfd6f1108f1bc9c5,     //  0.93354,  -0.35846
+    0x3feddb13b6ccc23d,     0xbfd7088530fa459e,     //  0.93299,   -0.3599
+    0x3fedd68ba2267a25,     0xbfd71ff6458782ec,     //  0.93244,  -0.36133
+    0x3fedd1fef38a915a,     0xbfd73763c9261092,     //  0.93188,  -0.36276
+    0x3fedcd6dabaca3a5,     0xbfd74ecdb8390a3e,     //  0.93133,  -0.36418
+    0x3fedc8d7cb410260,     0xbfd766340f2418f6,     //  0.93077,  -0.36561
+    0x3fedc43d52fcb453,     0xbfd77d96ca4b73a6,     //  0.93021,  -0.36704
+    0x3fedbf9e4395759a,     0xbfd794f5e613dfae,     //  0.92964,  -0.36847
+    0x3fedbafa9dc1b78d,     0xbfd7ac515ee2b172,     //  0.92907,  -0.36989
+    0x3fedb6526238a09b,     0xbfd7c3a9311dcce7,     //  0.92851,  -0.37132
+    0x3fedb1a591b20c38,     0xbfd7dafd592ba621,     //  0.92794,  -0.37274
+    0x3fedacf42ce68ab9,     0xbfd7f24dd37341e3,     //  0.92736,  -0.37416
+    0x3feda83e348f613b,     0xbfd8099a9c5c362d,     //  0.92679,  -0.37559
+    0x3feda383a9668988,     0xbfd820e3b04eaac4,     //  0.92621,  -0.37701
+    0x3fed9ec48c26b1f3,     0xbfd838290bb359c8,     //  0.92563,  -0.37843
+    0x3fed9a00dd8b3d46,     0xbfd84f6aaaf3903f,     //  0.92505,  -0.37985
+    0x3fed95389e50429b,     0xbfd866a88a792ea0,     //  0.92447,  -0.38127
+    0x3fed906bcf328d46,     0xbfd87de2a6aea963,     //  0.92388,  -0.38268
+    0x3fed8b9a70ef9cb4,     0xbfd89518fbff098e,     //  0.92329,   -0.3841
+    0x3fed86c48445a450,     0xbfd8ac4b86d5ed44,     //   0.9227,  -0.38552
+    0x3fed81ea09f38b63,     0xbfd8c37a439f884f,     //  0.92211,  -0.38693
+    0x3fed7d0b02b8ecf9,     0xbfd8daa52ec8a4af,     //  0.92151,  -0.38835
+    0x3fed78276f5617c6,     0xbfd8f1cc44bea329,     //  0.92092,  -0.38976
+    0x3fed733f508c0dff,     0xbfd908ef81ef7bd1,     //  0.92032,  -0.39117
+    0x3fed6e52a71c8547,     0xbfd9200ee2c9be97,     //  0.91972,  -0.39258
+    0x3fed696173c9e68b,     0xbfd9372a63bc93d7,     //  0.91911,  -0.39399
+    0x3fed646bb7574de5,     0xbfd94e420137bce3,     //  0.91851,   -0.3954
+    0x3fed5f7172888a7f,     0xbfd96555b7ab948f,     //   0.9179,  -0.39681
+    0x3fed5a72a6221e73,     0xbfd97c6583890fc2,     //  0.91729,  -0.39822
+    0x3fed556f52e93eb1,     0xbfd993716141bdfe,     //  0.91668,  -0.39962
+    0x3fed506779a3d2d9,     0xbfd9aa794d47c9ee,     //  0.91606,  -0.40103
+    0x3fed4b5b1b187524,     0xbfd9c17d440df9f2,     //  0.91545,  -0.40243
+    0x3fed464a380e7242,     0xbfd9d87d4207b0ab,     //  0.91483,  -0.40384
+    0x3fed4134d14dc93a,     0xbfd9ef7943a8ed8a,     //  0.91421,  -0.40524
+    0x3fed3c1ae79f2b4e,     0xbfda067145664d57,     //  0.91359,  -0.40664
+    0x3fed36fc7bcbfbdc,     0xbfda1d6543b50ac0,     //  0.91296,  -0.40804
+    0x3fed31d98e9e503a,     0xbfda34553b0afee5,     //  0.91234,  -0.40944
+    0x3fed2cb220e0ef9f,     0xbfda4b4127dea1e4,     //  0.91171,  -0.41084
+    0x3fed2786335f52fc,     0xbfda622906a70b63,     //  0.91107,  -0.41224
+    0x3fed2255c6e5a4e1,     0xbfda790cd3dbf31a,     //  0.91044,  -0.41364
+    0x3fed1d20dc40c15c,     0xbfda8fec8bf5b166,     //  0.90981,  -0.41503
+    0x3fed17e7743e35dc,     0xbfdaa6c82b6d3fc9,     //  0.90917,  -0.41643
+    0x3fed12a98fac410c,     0xbfdabd9faebc3980,     //  0.90853,  -0.41782
+    0x3fed0d672f59d2b9,     0xbfdad473125cdc08,     //  0.90789,  -0.41922
+    0x3fed082054168bac,     0xbfdaeb4252ca07ab,     //  0.90724,  -0.42061
+    0x3fed02d4feb2bd92,     0xbfdb020d6c7f4009,     //   0.9066,    -0.422
+    0x3fecfd852fff6ad4,     0xbfdb18d45bf8aca6,     //  0.90595,  -0.42339
+    0x3fecf830e8ce467b,     0xbfdb2f971db31972,     //   0.9053,  -0.42478
+    0x3fecf2d829f1b40e,     0xbfdb4655ae2bf757,     //  0.90464,  -0.42617
+    0x3feced7af43cc773,     0xbfdb5d1009e15cc0,     //  0.90399,  -0.42756
+    0x3fece819488344ce,     0xbfdb73c62d520624,     //  0.90333,  -0.42894
+    0x3fece2b32799a060,     0xbfdb8a7814fd5693,     //  0.90267,  -0.43033
+    0x3fecdd489254fe65,     0xbfdba125bd63583e,     //  0.90201,  -0.43171
+    0x3fecd7d9898b32f6,     0xbfdbb7cf2304bd01,     //  0.90135,  -0.43309
+    0x3fecd2660e12c1e6,     0xbfdbce744262deee,     //  0.90068,  -0.43448
+    0x3fecccee20c2de9f,     0xbfdbe51517ffc0d9,     //  0.90002,  -0.43586
+    0x3fecc771c2736c09,     0xbfdbfbb1a05e0edc,     //  0.89935,  -0.43724
+    0x3fecc1f0f3fcfc5c,     0xbfdc1249d8011ee7,     //  0.89867,  -0.43862
+    0x3fecbc6bb638d10b,     0xbfdc28ddbb6cf145,     //    0.898,  -0.43999
+    0x3fecb6e20a00da99,     0xbfdc3f6d47263129,     //  0.89732,  -0.44137
+    0x3fecb153f02fb87d,     0xbfdc55f877b23537,     //  0.89665,  -0.44275
+    0x3fecabc169a0b901,     0xbfdc6c7f4997000a,     //  0.89597,  -0.44412
+    0x3feca62a772fd919,     0xbfdc8301b95b40c2,     //  0.89528,   -0.4455
+    0x3feca08f19b9c449,     0xbfdc997fc3865388,     //   0.8946,  -0.44687
+    0x3fec9aef521bd480,     0xbfdcaff964a0421d,     //  0.89391,  -0.44824
+    0x3fec954b213411f5,     0xbfdcc66e9931c45d,     //  0.89322,  -0.44961
+    0x3fec8fa287e13305,     0xbfdcdcdf5dc440ce,     //  0.89253,  -0.45098
+    0x3fec89f587029c13,     0xbfdcf34baee1cd21,     //  0.89184,  -0.45235
+    0x3fec84441f785f61,     0xbfdd09b389152ec1,     //  0.89115,  -0.45372
+    0x3fec7e8e52233cf3,     0xbfdd2016e8e9db5b,     //  0.89045,  -0.45508
+    0x3fec78d41fe4a267,     0xbfdd3675caebf962,     //  0.88975,  -0.45645
+    0x3fec7315899eaad7,     0xbfdd4cd02ba8609c,     //  0.88905,  -0.45781
+    0x3fec6d5290341eb2,     0xbfdd632607ac9aa9,     //  0.88835,  -0.45918
+    0x3fec678b3488739b,     0xbfdd79775b86e389,     //  0.88764,  -0.46054
+    0x3fec61bf777fcc48,     0xbfdd8fc423c62a25,     //  0.88693,   -0.4619
+    0x3fec5bef59fef85a,     0xbfdda60c5cfa10d8,     //  0.88622,  -0.46326
+    0x3fec561adceb743e,     0xbfddbc5003b2edf8,     //  0.88551,  -0.46462
+    0x3fec5042012b6907,     0xbfddd28f1481cc58,     //   0.8848,  -0.46598
+    0x3fec4a64c7a5ac4c,     0xbfdde8c98bf86bd6,     //  0.88408,  -0.46733
+    0x3fec44833141c004,     0xbfddfeff66a941de,     //  0.88336,  -0.46869
+    0x3fec3e9d3ee7d262,     0xbfde1530a12779f4,     //  0.88264,  -0.47004
+    0x3fec38b2f180bdb1,     0xbfde2b5d3806f63b,     //  0.88192,   -0.4714
+    0x3fec32c449f60831,     0xbfde418527dc4ffa,     //   0.8812,  -0.47275
+    0x3fec2cd14931e3f1,     0xbfde57a86d3cd824,     //  0.88047,   -0.4741
+    0x3fec26d9f01f2eaf,     0xbfde6dc704be97e2,     //  0.87974,  -0.47545
+    0x3fec20de3fa971b0,     0xbfde83e0eaf85113,     //  0.87901,   -0.4768
+    0x3fec1ade38bce19b,     0xbfde99f61c817eda,     //  0.87828,  -0.47815
+    0x3fec14d9dc465e58,     0xbfdeb00695f25620,     //  0.87755,  -0.47949
+    0x3fec0ed12b3372e9,     0xbfdec61253e3c61b,     //  0.87681,  -0.48084
+    0x3fec08c426725549,     0xbfdedc1952ef78d5,     //  0.87607,  -0.48218
+    0x3fec02b2cef1e641,     0xbfdef21b8fafd3b5,     //  0.87533,  -0.48353
+    0x3febfc9d25a1b147,     0xbfdf081906bff7fd,     //  0.87459,  -0.48487
+    0x3febf6832b71ec5b,     0xbfdf1e11b4bbc35c,     //  0.87384,  -0.48621
+    0x3febf064e15377dd,     0xbfdf3405963fd068,     //  0.87309,  -0.48755
+    0x3febea424837de6d,     0xbfdf49f4a7e97729,     //  0.87235,  -0.48889
+    0x3febe41b611154c1,     0xbfdf5fdee656cda3,     //   0.8716,  -0.49023
+    0x3febddf02cd2b983,     0xbfdf75c44e26a852,     //  0.87084,  -0.49156
+    0x3febd7c0ac6f952a,     0xbfdf8ba4dbf89aba,     //  0.87009,   -0.4929
+    0x3febd18ce0dc19d6,     0xbfdfa1808c6cf7e0,     //  0.86933,  -0.49423
+    0x3febcb54cb0d2327,     0xbfdfb7575c24d2de,     //  0.86857,  -0.49557
+    0x3febc5186bf8361d,     0xbfdfcd2947c1ff57,     //  0.86781,   -0.4969
+    0x3febbed7c49380ea,     0xbfdfe2f64be7120f,     //  0.86705,  -0.49823
+    0x3febb892d5d5dad5,     0xbfdff8be6537615e,     //  0.86628,  -0.49956
+    0x3febb249a0b6c40d,     0xbfe00740c82b82e0,     //  0.86551,  -0.50089
+    0x3febabfc262e6586,     0xbfe0121fe4f56d2c,     //  0.86474,  -0.50221
+    0x3feba5aa673590d2,     0xbfe01cfc874c3eb7,     //  0.86397,  -0.50354
+    0x3feb9f5464c5bffc,     0xbfe027d6ad83287e,     //   0.8632,  -0.50486
+    0x3feb98fa1fd9155e,     0xbfe032ae55edbd95,     //  0.86242,  -0.50619
+    0x3feb929b996a5b7f,     0xbfe03d837edff370,     //  0.86165,  -0.50751
+    0x3feb8c38d27504e9,     0xbfe0485626ae221a,     //  0.86087,  -0.50883
+    0x3feb85d1cbf52c02,     0xbfe053264bad0483,     //  0.86009,  -0.51015
+    0x3feb7f6686e792ea,     0xbfe05df3ec31b8b6,     //   0.8593,  -0.51147
+    0x3feb78f70449a34b,     0xbfe068bf0691c028,     //  0.85852,  -0.51279
+    0x3feb728345196e3e,     0xbfe073879922ffed,     //  0.85773,   -0.5141
+    0x3feb6c0b4a55ac17,     0xbfe07e4da23bc102,     //  0.85694,  -0.51542
+    0x3feb658f14fdbc47,     0xbfe089112032b08c,     //  0.85615,  -0.51673
+    0x3feb5f0ea611a532,     0xbfe093d2115ee018,     //  0.85535,  -0.51804
+    0x3feb5889fe921405,     0xbfe09e907417c5e1,     //  0.85456,  -0.51936
+    0x3feb52011f805c92,     0xbfe0a94c46b53d0b,     //  0.85376,  -0.52067
+    0x3feb4b7409de7925,     0xbfe0b405878f85ec,     //  0.85296,  -0.52198
+    0x3feb44e2beaf0a61,     0xbfe0bebc34ff4646,     //  0.85216,  -0.52328
+    0x3feb3e4d3ef55712,     0xbfe0c9704d5d898f,     //  0.85136,  -0.52459
+    0x3feb37b38bb54c09,     0xbfe0d421cf03c12b,     //  0.85055,   -0.5259
+    0x3feb3115a5f37bf4,     0xbfe0ded0b84bc4b5,     //  0.84974,   -0.5272
+    0x3feb2a738eb51f33,     0xbfe0e97d078fd23b,     //  0.84893,   -0.5285
+    0x3feb23cd470013b4,     0xbfe0f426bb2a8e7d,     //  0.84812,   -0.5298
+    0x3feb1d22cfdadcc6,     0xbfe0fecdd1770537,     //  0.84731,   -0.5311
+    0x3feb16742a4ca2f5,     0xbfe1097248d0a956,     //  0.84649,   -0.5324
+    0x3feb0fc1575d33db,     0xbfe114141f935545,     //  0.84567,   -0.5337
+    0x3feb090a58150200,     0xbfe11eb3541b4b22,     //  0.84485,    -0.535
+    0x3feb024f2d7d24a9,     0xbfe1294fe4c5350a,     //  0.84403,  -0.53629
+    0x3feafb8fd89f57b6,     0xbfe133e9cfee254e,     //  0.84321,  -0.53759
+    0x3feaf4cc5a85fb73,     0xbfe13e8113f396c1,     //  0.84238,  -0.53888
+    0x3feaee04b43c1474,     0xbfe14915af336ceb,     //  0.84155,  -0.54017
+    0x3feae738e6cd4b67,     0xbfe153a7a00bf453,     //  0.84073,  -0.54146
+    0x3feae068f345ecef,     0xbfe15e36e4dbe2bc,     //  0.83989,  -0.54275
+    0x3fead994dab2e979,     0xbfe168c37c025764,     //  0.83906,  -0.54404
+    0x3fead2bc9e21d511,     0xbfe1734d63dedb49,     //  0.83822,  -0.54532
+    0x3feacbe03ea0e73b,     0xbfe17dd49ad16161,     //  0.83739,  -0.54661
+    0x3feac4ffbd3efac8,     0xbfe188591f3a46e5,     //  0.83655,  -0.54789
+    0x3feabe1b1b0b8dac,     0xbfe192daef7a5386,     //  0.83571,  -0.54918
+    0x3feab7325916c0d4,     0xbfe19d5a09f2b9b8,     //  0.83486,  -0.55046
+    0x3feab045787157ff,     0xbfe1a7d66d0516e6,     //  0.83402,  -0.55174
+    0x3feaa9547a2cb98e,     0xbfe1b250171373be,     //  0.83317,  -0.55302
+    0x3feaa25f5f5aee60,     0xbfe1bcc706804467,     //  0.83232,  -0.55429
+    0x3fea9b66290ea1a3,     0xbfe1c73b39ae68c8,     //  0.83147,  -0.55557
+    0x3fea9468d85b20ae,     0xbfe1d1acaf012cc2,     //  0.83062,  -0.55685
+    0x3fea8d676e545ad2,     0xbfe1dc1b64dc4872,     //  0.82976,  -0.55812
+    0x3fea8661ec0ee133,     0xbfe1e68759a3e074,     //   0.8289,  -0.55939
+    0x3fea7f58529fe69d,     0xbfe1f0f08bbc861b,     //  0.82805,  -0.56066
+    0x3fea784aa31d3f55,     0xbfe1fb56f98b37b8,     //  0.82718,  -0.56193
+    0x3fea7138de9d60f5,     0xbfe205baa17560d6,     //  0.82632,   -0.5632
+    0x3fea6a230637623b,     0xbfe2101b81e0da78,     //  0.82546,  -0.56447
+    0x3fea63091b02fae2,     0xbfe21a799933eb58,     //  0.82459,  -0.56573
+    0x3fea5beb1e188375,     0xbfe224d4e5d5482e,     //  0.82372,    -0.567
+    0x3fea54c91090f524,     0xbfe22f2d662c13e1,     //  0.82285,  -0.56826
+    0x3fea4da2f385e997,     0xbfe23983189fdfd5,     //  0.82198,  -0.56952
+    0x3fea4678c8119ac8,     0xbfe243d5fb98ac1f,     //   0.8211,  -0.57078
+    0x3fea3f4a8f4ee2d2,     0xbfe24e260d7ee7c9,     //  0.82023,  -0.57204
+    0x3fea38184a593bc6,     0xbfe258734cbb7110,     //  0.81935,   -0.5733
+    0x3fea30e1fa4cbf81,     0xbfe262bdb7b795a2,     //  0.81847,  -0.57455
+    0x3fea29a7a0462782,     0xbfe26d054cdd12df,     //  0.81758,  -0.57581
+    0x3fea22693d62ccb9,     0xbfe2774a0a961612,     //   0.8167,  -0.57706
+    0x3fea1b26d2c0a75e,     0xbfe2818bef4d3cba,     //  0.81581,  -0.57831
+    0x3fea13e0617e4ec7,     0xbfe28bcaf96d94ba,     //  0.81493,  -0.57956
+    0x3fea0c95eabaf937,     0xbfe2960727629ca8,     //  0.81404,  -0.58081
+    0x3fea05476f967bb5,     0xbfe2a040779843fb,     //  0.81314,  -0.58206
+    0x3fe9fdf4f13149de,     0xbfe2aa76e87aeb58,     //  0.81225,  -0.58331
+    0x3fe9f69e70ac75bc,     0xbfe2b4aa787764c4,     //  0.81135,  -0.58455
+    0x3fe9ef43ef29af94,     0xbfe2bedb25faf3ea,     //  0.81046,   -0.5858
+    0x3fe9e7e56dcb45bd,     0xbfe2c908ef734e57,     //  0.80956,  -0.58704
+    0x3fe9e082edb42472,     0xbfe2d333d34e9bb7,     //  0.80866,  -0.58828
+    0x3fe9d91c7007d5a6,     0xbfe2dd5bcffb7616,     //  0.80775,  -0.58952
+    0x3fe9d1b1f5ea80d6,     0xbfe2e780e3e8ea16,     //  0.80685,  -0.59076
+    0x3fe9ca438080eadb,     0xbfe2f1a30d86773a,     //  0.80594,    -0.592
+    0x3fe9c2d110f075c3,     0xbfe2fbc24b441015,     //  0.80503,  -0.59323
+    0x3fe9bb5aa85f2098,     0xbfe305de9b921a94,     //  0.80412,  -0.59447
+    0x3fe9b3e047f38741,     0xbfe30ff7fce17035,     //  0.80321,   -0.5957
+    0x3fe9ac61f0d4e247,     0xbfe31a0e6da35e44,     //  0.80229,  -0.59693
+    0x3fe9a4dfa42b06b2,     0xbfe32421ec49a620,     //  0.80138,  -0.59816
+    0x3fe99d59631e65d5,     0xbfe32e3277467d6b,     //  0.80046,  -0.59939
+    0x3fe995cf2ed80d22,     0xbfe338400d0c8e57,     //  0.79954,  -0.60062
+    0x3fe98e410881a600,     0xbfe3424aac0ef7d6,     //  0.79861,  -0.60184
+    0x3fe986aef1457594,     0xbfe34c5252c14de1,     //  0.79769,  -0.60307
+    0x3fe97f18ea4e5c9e,     0xbfe35656ff9799ae,     //  0.79676,  -0.60429
+    0x3fe9777ef4c7d742,     0xbfe36058b10659f3,     //  0.79584,  -0.60551
+    0x3fe96fe111ddfce0,     0xbfe36a576582831b,     //  0.79491,  -0.60673
+    0x3fe9683f42bd7fe1,     0xbfe374531b817f8d,     //  0.79398,  -0.60795
+    0x3fe960998893ad8c,     0xbfe37e4bd1792fe2,     //  0.79304,  -0.60917
+    0x3fe958efe48e6dd7,     0xbfe3884185dfeb22,     //  0.79211,  -0.61038
+    0x3fe9514257dc4335,     0xbfe39234372c7f04,     //  0.79117,   -0.6116
+    0x3fe94990e3ac4a6c,     0xbfe39c23e3d63029,     //  0.79023,  -0.61281
+    0x3fe941db892e3a65,     0xbfe3a6108a54ba58,     //  0.78929,  -0.61402
+    0x3fe93a22499263fc,     0xbfe3affa292050b9,     //  0.78835,  -0.61523
+    0x3fe932652609b1cf,     0xbfe3b9e0beb19e18,     //   0.7874,  -0.61644
+    0x3fe92aa41fc5a815,     0xbfe3c3c44981c517,     //  0.78646,  -0.61765
+    0x3fe922df37f8646a,     0xbfe3cda4c80a6076,     //  0.78551,  -0.61885
+    0x3fe91b166fd49da2,     0xbfe3d78238c58343,     //  0.78456,  -0.62006
+    0x3fe91349c88da398,     0xbfe3e15c9a2db922,     //   0.7836,  -0.62126
+    0x3fe90b7943575efe,     0xbfe3eb33eabe0680,     //  0.78265,  -0.62246
+    0x3fe903a4e1665133,     0xbfe3f50828f1e8d2,     //  0.78169,  -0.62366
+    0x3fe8fbcca3ef940d,     0xbfe3fed9534556d4,     //  0.78074,  -0.62486
+    0x3fe8f3f08c28d9ac,     0xbfe408a76834c0c0,     //  0.77978,  -0.62606
+    0x3fe8ec109b486c49,     0xbfe41272663d108c,     //  0.77882,  -0.62725
+    0x3fe8e42cd2852e0a,     0xbfe41c3a4bdbaa26,     //  0.77785,  -0.62845
+    0x3fe8dc45331698cc,     0xbfe425ff178e6bb1,     //  0.77689,  -0.62964
+    0x3fe8d459be34bdfa,     0xbfe42fc0c7d3adbb,     //  0.77592,  -0.63083
+    0x3fe8cc6a75184655,     0xbfe4397f5b2a4380,     //  0.77495,  -0.63202
+    0x3fe8c47758fa71cb,     0xbfe4433ad0117b1d,     //  0.77398,  -0.63321
+    0x3fe8bc806b151741,     0xbfe44cf325091dd6,     //  0.77301,  -0.63439
+    0x3fe8b485aca2a468,     0xbfe456a858917046,     //  0.77204,  -0.63558
+    0x3fe8ac871ede1d88,     0xbfe4605a692b32a2,     //  0.77106,  -0.63676
+    0x3fe8a484c3031d50,     0xbfe46a095557a0f1,     //  0.77008,  -0.63794
+    0x3fe89c7e9a4dd4ab,     0xbfe473b51b987347,     //   0.7691,  -0.63912
+    0x3fe89474a5fb0a84,     0xbfe47d5dba6fde01,     //  0.76812,   -0.6403
+    0x3fe88c66e7481ba1,     0xbfe48703306091fe,     //  0.76714,  -0.64148
+    0x3fe884555f72fa6b,     0xbfe490a57bedbcdf,     //  0.76615,  -0.64266
+    0x3fe87c400fba2ebf,     0xbfe49a449b9b0938,     //  0.76517,  -0.64383
+    0x3fe87426f95cd5bd,     0xbfe4a3e08dec9ed6,     //  0.76418,    -0.645
+    0x3fe86c0a1d9aa195,     0xbfe4ad79516722f0,     //  0.76319,  -0.64618
+    0x3fe863e97db3d95a,     0xbfe4b70ee48fb869,     //   0.7622,  -0.64735
+    0x3fe85bc51ae958cc,     0xbfe4c0a145ec0004,     //   0.7612,  -0.64851
+    0x3fe8539cf67c9029,     0xbfe4ca30740218a3,     //  0.76021,  -0.64968
+    0x3fe84b7111af83f9,     0xbfe4d3bc6d589f80,     //  0.75921,  -0.65085
+    0x3fe843416dc4cce2,     0xbfe4dd453076b064,     //  0.75821,  -0.65201
+    0x3fe83b0e0bff976e,     0xbfe4e6cabbe3e5e9,     //  0.75721,  -0.65317
+    0x3fe832d6eda3a3e0,     0xbfe4f04d0e2859aa,     //  0.75621,  -0.65433
+    0x3fe82a9c13f545ff,     0xbfe4f9cc25cca486,     //   0.7552,  -0.65549
+    0x3fe8225d803964e5,     0xbfe503480159ded2,     //  0.75419,  -0.65665
+    0x3fe81a1b33b57acc,     0xbfe50cc09f59a09b,     //  0.75319,  -0.65781
+    0x3fe811d52faf94dc,     0xbfe51635fe5601d7,     //  0.75218,  -0.65896
+    0x3fe8098b756e52fa,     0xbfe51fa81cd99aa6,     //  0.75117,  -0.66011
+    0x3fe8013e0638e795,     0xbfe52916f96f8388,     //  0.75015,  -0.66127
+    0x3fe7f8ece3571771,     0xbfe5328292a35596,     //  0.74914,  -0.66242
+    0x3fe7f0980e113978,     0xbfe53beae7012abe,     //  0.74812,  -0.66356
+    0x3fe7e83f87b03686,     0xbfe5454ff5159dfb,     //   0.7471,  -0.66471
+    0x3fe7dfe3517d8937,     0xbfe54eb1bb6dcb8f,     //  0.74608,  -0.66586
+    0x3fe7d7836cc33db2,     0xbfe5581038975137,     //  0.74506,    -0.667
+    0x3fe7cf1fdacbf179,     0xbfe5616b6b204e6e,     //  0.74403,  -0.66814
+    0x3fe7c6b89ce2d333,     0xbfe56ac35197649e,     //  0.74301,  -0.66928
+    0x3fe7be4db453a27c,     0xbfe57417ea8bb75c,     //  0.74198,  -0.67042
+    0x3fe7b5df226aafb0,     0xbfe57d69348cec9f,     //  0.74095,  -0.67156
+    0x3fe7ad6ce874dbb6,     0xbfe586b72e2b2cfd,     //  0.73992,  -0.67269
+    0x3fe7a4f707bf97d2,     0xbfe59001d5f723df,     //  0.73889,  -0.67383
+    0x3fe79c7d8198e56e,     0xbfe599492a81ffbc,     //  0.73785,  -0.67496
+    0x3fe79400574f55e4,     0xbfe5a28d2a5d7250,     //  0.73682,  -0.67609
+    0x3fe78b7f8a320a52,     0xbfe5abcdd41bb0d8,     //  0.73578,  -0.67722
+    0x3fe782fb1b90b35b,     0xbfe5b50b264f7448,     //  0.73474,  -0.67835
+    0x3fe77a730cbb9100,     0xbfe5be451f8bf980,     //   0.7337,  -0.67948
+    0x3fe771e75f037261,     0xbfe5c77bbe65018c,     //  0.73265,   -0.6806
+    0x3fe7695813b9b594,     0xbfe5d0af016ed1d4,     //  0.73161,  -0.68172
+    0x3fe760c52c304764,     0xbfe5d9dee73e345c,     //  0.73056,  -0.68285
+    0x3fe7582ea9b9a329,     0xbfe5e30b6e6877f3,     //  0.72951,  -0.68397
+    0x3fe74f948da8d28d,     0xbfe5ec3495837074,     //  0.72846,  -0.68508
+    0x3fe746f6d9516d59,     0xbfe5f55a5b2576f8,     //  0.72741,   -0.6862
+    0x3fe73e558e079942,     0xbfe5fe7cbde56a0f,     //  0.72636,  -0.68732
+    0x3fe735b0ad2009b2,     0xbfe6079bbc5aadfa,     //   0.7253,  -0.68843
+    0x3fe72d0837efff97,     0xbfe610b7551d2cde,     //  0.72425,  -0.68954
+    0x3fe7245c2fcd492a,     0xbfe619cf86c55702,     //  0.72319,  -0.69065
+    0x3fe71bac960e41bf,     0xbfe622e44fec22ff,     //  0.72213,  -0.69176
+    0x3fe712f96c09d18d,     0xbfe62bf5af2b0dfd,     //  0.72107,  -0.69287
+    0x3fe70a42b3176d7a,     0xbfe63503a31c1be8,     //     0.72,  -0.69397
+    0x3fe701886c8f16e6,     0xbfe63e0e2a59d7aa,     //  0.71894,  -0.69508
+    0x3fe6f8ca99c95b75,     0xbfe64715437f535b,     //  0.71787,  -0.69618
+    0x3fe6f0093c1f54de,     0xbfe65018ed28287f,     //   0.7168,  -0.69728
+    0x3fe6e74454eaa8ae,     0xbfe6591925f0783e,     //  0.71573,  -0.69838
+    0x3fe6de7be585881d,     0xbfe66215ec74eb91,     //  0.71466,  -0.69947
+    0x3fe6d5afef4aafcc,     0xbfe66b0f3f52b386,     //  0.71358,  -0.70057
+    0x3fe6cce07395679f,     0xbfe674051d27896c,     //  0.71251,  -0.70166
+    0x3fe6c40d73c18275,     0xbfe67cf78491af10,     //  0.71143,  -0.70275
+    0x3fe6bb36f12b5e06,     0xbfe685e6742feeef,     //  0.71035,  -0.70385
+    0x3fe6b25ced2fe29c,     0xbfe68ed1eaa19c71,     //  0.70927,  -0.70493
+    0x3fe6a97f692c82ea,     0xbfe697b9e686941c,     //  0.70819,  -0.70602
+    0x3fe6a09e667f3bcc,     0xbfe6a09e667f3bcc,     //  0.70711,  -0.70711
+    0x3fe697b9e686941c,     0xbfe6a97f692c82ea,     //  0.70602,  -0.70819
+    0x3fe68ed1eaa19c71,     0xbfe6b25ced2fe29c,     //  0.70493,  -0.70927
+    0x3fe685e6742feeef,     0xbfe6bb36f12b5e06,     //  0.70385,  -0.71035
+    0x3fe67cf78491af10,     0xbfe6c40d73c18275,     //  0.70275,  -0.71143
+    0x3fe674051d27896c,     0xbfe6cce07395679f,     //  0.70166,  -0.71251
+    0x3fe66b0f3f52b386,     0xbfe6d5afef4aafcc,     //  0.70057,  -0.71358
+    0x3fe66215ec74eb91,     0xbfe6de7be585881d,     //  0.69947,  -0.71466
+    0x3fe6591925f0783e,     0xbfe6e74454eaa8ae,     //  0.69838,  -0.71573
+    0x3fe65018ed28287f,     0xbfe6f0093c1f54de,     //  0.69728,   -0.7168
+    0x3fe64715437f535b,     0xbfe6f8ca99c95b75,     //  0.69618,  -0.71787
+    0x3fe63e0e2a59d7aa,     0xbfe701886c8f16e6,     //  0.69508,  -0.71894
+    0x3fe63503a31c1be8,     0xbfe70a42b3176d7a,     //  0.69397,     -0.72
+    0x3fe62bf5af2b0dfd,     0xbfe712f96c09d18d,     //  0.69287,  -0.72107
+    0x3fe622e44fec22ff,     0xbfe71bac960e41bf,     //  0.69176,  -0.72213
+    0x3fe619cf86c55702,     0xbfe7245c2fcd492a,     //  0.69065,  -0.72319
+    0x3fe610b7551d2cde,     0xbfe72d0837efff97,     //  0.68954,  -0.72425
+    0x3fe6079bbc5aadfa,     0xbfe735b0ad2009b2,     //  0.68843,   -0.7253
+    0x3fe5fe7cbde56a0f,     0xbfe73e558e079942,     //  0.68732,  -0.72636
+    0x3fe5f55a5b2576f8,     0xbfe746f6d9516d59,     //   0.6862,  -0.72741
+    0x3fe5ec3495837074,     0xbfe74f948da8d28d,     //  0.68508,  -0.72846
+    0x3fe5e30b6e6877f3,     0xbfe7582ea9b9a329,     //  0.68397,  -0.72951
+    0x3fe5d9dee73e345c,     0xbfe760c52c304764,     //  0.68285,  -0.73056
+    0x3fe5d0af016ed1d4,     0xbfe7695813b9b594,     //  0.68172,  -0.73161
+    0x3fe5c77bbe65018c,     0xbfe771e75f037261,     //   0.6806,  -0.73265
+    0x3fe5be451f8bf980,     0xbfe77a730cbb9100,     //  0.67948,   -0.7337
+    0x3fe5b50b264f7448,     0xbfe782fb1b90b35b,     //  0.67835,  -0.73474
+    0x3fe5abcdd41bb0d8,     0xbfe78b7f8a320a52,     //  0.67722,  -0.73578
+    0x3fe5a28d2a5d7250,     0xbfe79400574f55e4,     //  0.67609,  -0.73682
+    0x3fe599492a81ffbc,     0xbfe79c7d8198e56e,     //  0.67496,  -0.73785
+    0x3fe59001d5f723df,     0xbfe7a4f707bf97d2,     //  0.67383,  -0.73889
+    0x3fe586b72e2b2cfd,     0xbfe7ad6ce874dbb6,     //  0.67269,  -0.73992
+    0x3fe57d69348cec9f,     0xbfe7b5df226aafb0,     //  0.67156,  -0.74095
+    0x3fe57417ea8bb75c,     0xbfe7be4db453a27c,     //  0.67042,  -0.74198
+    0x3fe56ac35197649e,     0xbfe7c6b89ce2d333,     //  0.66928,  -0.74301
+    0x3fe5616b6b204e6e,     0xbfe7cf1fdacbf179,     //  0.66814,  -0.74403
+    0x3fe5581038975137,     0xbfe7d7836cc33db2,     //    0.667,  -0.74506
+    0x3fe54eb1bb6dcb8f,     0xbfe7dfe3517d8937,     //  0.66586,  -0.74608
+    0x3fe5454ff5159dfb,     0xbfe7e83f87b03686,     //  0.66471,   -0.7471
+    0x3fe53beae7012abe,     0xbfe7f0980e113978,     //  0.66356,  -0.74812
+    0x3fe5328292a35596,     0xbfe7f8ece3571771,     //  0.66242,  -0.74914
+    0x3fe52916f96f8388,     0xbfe8013e0638e795,     //  0.66127,  -0.75015
+    0x3fe51fa81cd99aa6,     0xbfe8098b756e52fa,     //  0.66011,  -0.75117
+    0x3fe51635fe5601d7,     0xbfe811d52faf94dc,     //  0.65896,  -0.75218
+    0x3fe50cc09f59a09b,     0xbfe81a1b33b57acc,     //  0.65781,  -0.75319
+    0x3fe503480159ded2,     0xbfe8225d803964e5,     //  0.65665,  -0.75419
+    0x3fe4f9cc25cca486,     0xbfe82a9c13f545ff,     //  0.65549,   -0.7552
+    0x3fe4f04d0e2859aa,     0xbfe832d6eda3a3e0,     //  0.65433,  -0.75621
+    0x3fe4e6cabbe3e5e9,     0xbfe83b0e0bff976e,     //  0.65317,  -0.75721
+    0x3fe4dd453076b064,     0xbfe843416dc4cce2,     //  0.65201,  -0.75821
+    0x3fe4d3bc6d589f80,     0xbfe84b7111af83f9,     //  0.65085,  -0.75921
+    0x3fe4ca30740218a3,     0xbfe8539cf67c9029,     //  0.64968,  -0.76021
+    0x3fe4c0a145ec0004,     0xbfe85bc51ae958cc,     //  0.64851,   -0.7612
+    0x3fe4b70ee48fb869,     0xbfe863e97db3d95a,     //  0.64735,   -0.7622
+    0x3fe4ad79516722f0,     0xbfe86c0a1d9aa195,     //  0.64618,  -0.76319
+    0x3fe4a3e08dec9ed6,     0xbfe87426f95cd5bd,     //    0.645,  -0.76418
+    0x3fe49a449b9b0938,     0xbfe87c400fba2ebf,     //  0.64383,  -0.76517
+    0x3fe490a57bedbcdf,     0xbfe884555f72fa6b,     //  0.64266,  -0.76615
+    0x3fe48703306091fe,     0xbfe88c66e7481ba1,     //  0.64148,  -0.76714
+    0x3fe47d5dba6fde01,     0xbfe89474a5fb0a84,     //   0.6403,  -0.76812
+    0x3fe473b51b987347,     0xbfe89c7e9a4dd4ab,     //  0.63912,   -0.7691
+    0x3fe46a095557a0f1,     0xbfe8a484c3031d50,     //  0.63794,  -0.77008
+    0x3fe4605a692b32a2,     0xbfe8ac871ede1d88,     //  0.63676,  -0.77106
+    0x3fe456a858917046,     0xbfe8b485aca2a468,     //  0.63558,  -0.77204
+    0x3fe44cf325091dd6,     0xbfe8bc806b151741,     //  0.63439,  -0.77301
+    0x3fe4433ad0117b1d,     0xbfe8c47758fa71cb,     //  0.63321,  -0.77398
+    0x3fe4397f5b2a4380,     0xbfe8cc6a75184655,     //  0.63202,  -0.77495
+    0x3fe42fc0c7d3adbb,     0xbfe8d459be34bdfa,     //  0.63083,  -0.77592
+    0x3fe425ff178e6bb1,     0xbfe8dc45331698cc,     //  0.62964,  -0.77689
+    0x3fe41c3a4bdbaa26,     0xbfe8e42cd2852e0a,     //  0.62845,  -0.77785
+    0x3fe41272663d108c,     0xbfe8ec109b486c49,     //  0.62725,  -0.77882
+    0x3fe408a76834c0c0,     0xbfe8f3f08c28d9ac,     //  0.62606,  -0.77978
+    0x3fe3fed9534556d4,     0xbfe8fbcca3ef940d,     //  0.62486,  -0.78074
+    0x3fe3f50828f1e8d2,     0xbfe903a4e1665133,     //  0.62366,  -0.78169
+    0x3fe3eb33eabe0680,     0xbfe90b7943575efe,     //  0.62246,  -0.78265
+    0x3fe3e15c9a2db922,     0xbfe91349c88da398,     //  0.62126,   -0.7836
+    0x3fe3d78238c58343,     0xbfe91b166fd49da2,     //  0.62006,  -0.78456
+    0x3fe3cda4c80a6076,     0xbfe922df37f8646a,     //  0.61885,  -0.78551
+    0x3fe3c3c44981c517,     0xbfe92aa41fc5a815,     //  0.61765,  -0.78646
+    0x3fe3b9e0beb19e18,     0xbfe932652609b1cf,     //  0.61644,   -0.7874
+    0x3fe3affa292050b9,     0xbfe93a22499263fc,     //  0.61523,  -0.78835
+    0x3fe3a6108a54ba58,     0xbfe941db892e3a65,     //  0.61402,  -0.78929
+    0x3fe39c23e3d63029,     0xbfe94990e3ac4a6c,     //  0.61281,  -0.79023
+    0x3fe39234372c7f04,     0xbfe9514257dc4335,     //   0.6116,  -0.79117
+    0x3fe3884185dfeb22,     0xbfe958efe48e6dd7,     //  0.61038,  -0.79211
+    0x3fe37e4bd1792fe2,     0xbfe960998893ad8c,     //  0.60917,  -0.79304
+    0x3fe374531b817f8d,     0xbfe9683f42bd7fe1,     //  0.60795,  -0.79398
+    0x3fe36a576582831b,     0xbfe96fe111ddfce0,     //  0.60673,  -0.79491
+    0x3fe36058b10659f3,     0xbfe9777ef4c7d742,     //  0.60551,  -0.79584
+    0x3fe35656ff9799ae,     0xbfe97f18ea4e5c9e,     //  0.60429,  -0.79676
+    0x3fe34c5252c14de1,     0xbfe986aef1457594,     //  0.60307,  -0.79769
+    0x3fe3424aac0ef7d6,     0xbfe98e410881a600,     //  0.60184,  -0.79861
+    0x3fe338400d0c8e57,     0xbfe995cf2ed80d22,     //  0.60062,  -0.79954
+    0x3fe32e3277467d6b,     0xbfe99d59631e65d5,     //  0.59939,  -0.80046
+    0x3fe32421ec49a620,     0xbfe9a4dfa42b06b2,     //  0.59816,  -0.80138
+    0x3fe31a0e6da35e44,     0xbfe9ac61f0d4e247,     //  0.59693,  -0.80229
+    0x3fe30ff7fce17035,     0xbfe9b3e047f38741,     //   0.5957,  -0.80321
+    0x3fe305de9b921a94,     0xbfe9bb5aa85f2098,     //  0.59447,  -0.80412
+    0x3fe2fbc24b441015,     0xbfe9c2d110f075c3,     //  0.59323,  -0.80503
+    0x3fe2f1a30d86773a,     0xbfe9ca438080eadb,     //    0.592,  -0.80594
+    0x3fe2e780e3e8ea16,     0xbfe9d1b1f5ea80d6,     //  0.59076,  -0.80685
+    0x3fe2dd5bcffb7616,     0xbfe9d91c7007d5a6,     //  0.58952,  -0.80775
+    0x3fe2d333d34e9bb7,     0xbfe9e082edb42472,     //  0.58828,  -0.80866
+    0x3fe2c908ef734e57,     0xbfe9e7e56dcb45bd,     //  0.58704,  -0.80956
+    0x3fe2bedb25faf3ea,     0xbfe9ef43ef29af94,     //   0.5858,  -0.81046
+    0x3fe2b4aa787764c4,     0xbfe9f69e70ac75bc,     //  0.58455,  -0.81135
+    0x3fe2aa76e87aeb58,     0xbfe9fdf4f13149de,     //  0.58331,  -0.81225
+    0x3fe2a040779843fb,     0xbfea05476f967bb5,     //  0.58206,  -0.81314
+    0x3fe2960727629ca8,     0xbfea0c95eabaf937,     //  0.58081,  -0.81404
+    0x3fe28bcaf96d94ba,     0xbfea13e0617e4ec7,     //  0.57956,  -0.81493
+    0x3fe2818bef4d3cba,     0xbfea1b26d2c0a75e,     //  0.57831,  -0.81581
+    0x3fe2774a0a961612,     0xbfea22693d62ccb9,     //  0.57706,   -0.8167
+    0x3fe26d054cdd12df,     0xbfea29a7a0462782,     //  0.57581,  -0.81758
+    0x3fe262bdb7b795a2,     0xbfea30e1fa4cbf81,     //  0.57455,  -0.81847
+    0x3fe258734cbb7110,     0xbfea38184a593bc6,     //   0.5733,  -0.81935
+    0x3fe24e260d7ee7c9,     0xbfea3f4a8f4ee2d2,     //  0.57204,  -0.82023
+    0x3fe243d5fb98ac1f,     0xbfea4678c8119ac8,     //  0.57078,   -0.8211
+    0x3fe23983189fdfd5,     0xbfea4da2f385e997,     //  0.56952,  -0.82198
+    0x3fe22f2d662c13e1,     0xbfea54c91090f524,     //  0.56826,  -0.82285
+    0x3fe224d4e5d5482e,     0xbfea5beb1e188375,     //    0.567,  -0.82372
+    0x3fe21a799933eb58,     0xbfea63091b02fae2,     //  0.56573,  -0.82459
+    0x3fe2101b81e0da78,     0xbfea6a230637623b,     //  0.56447,  -0.82546
+    0x3fe205baa17560d6,     0xbfea7138de9d60f5,     //   0.5632,  -0.82632
+    0x3fe1fb56f98b37b8,     0xbfea784aa31d3f55,     //  0.56193,  -0.82718
+    0x3fe1f0f08bbc861b,     0xbfea7f58529fe69d,     //  0.56066,  -0.82805
+    0x3fe1e68759a3e074,     0xbfea8661ec0ee133,     //  0.55939,   -0.8289
+    0x3fe1dc1b64dc4872,     0xbfea8d676e545ad2,     //  0.55812,  -0.82976
+    0x3fe1d1acaf012cc2,     0xbfea9468d85b20ae,     //  0.55685,  -0.83062
+    0x3fe1c73b39ae68c8,     0xbfea9b66290ea1a3,     //  0.55557,  -0.83147
+    0x3fe1bcc706804467,     0xbfeaa25f5f5aee60,     //  0.55429,  -0.83232
+    0x3fe1b250171373be,     0xbfeaa9547a2cb98e,     //  0.55302,  -0.83317
+    0x3fe1a7d66d0516e6,     0xbfeab045787157ff,     //  0.55174,  -0.83402
+    0x3fe19d5a09f2b9b8,     0xbfeab7325916c0d4,     //  0.55046,  -0.83486
+    0x3fe192daef7a5386,     0xbfeabe1b1b0b8dac,     //  0.54918,  -0.83571
+    0x3fe188591f3a46e5,     0xbfeac4ffbd3efac8,     //  0.54789,  -0.83655
+    0x3fe17dd49ad16161,     0xbfeacbe03ea0e73b,     //  0.54661,  -0.83739
+    0x3fe1734d63dedb49,     0xbfead2bc9e21d511,     //  0.54532,  -0.83822
+    0x3fe168c37c025764,     0xbfead994dab2e979,     //  0.54404,  -0.83906
+    0x3fe15e36e4dbe2bc,     0xbfeae068f345ecef,     //  0.54275,  -0.83989
+    0x3fe153a7a00bf453,     0xbfeae738e6cd4b67,     //  0.54146,  -0.84073
+    0x3fe14915af336ceb,     0xbfeaee04b43c1474,     //  0.54017,  -0.84155
+    0x3fe13e8113f396c1,     0xbfeaf4cc5a85fb73,     //  0.53888,  -0.84238
+    0x3fe133e9cfee254e,     0xbfeafb8fd89f57b6,     //  0.53759,  -0.84321
+    0x3fe1294fe4c5350a,     0xbfeb024f2d7d24a9,     //  0.53629,  -0.84403
+    0x3fe11eb3541b4b22,     0xbfeb090a58150200,     //    0.535,  -0.84485
+    0x3fe114141f935545,     0xbfeb0fc1575d33db,     //   0.5337,  -0.84567
+    0x3fe1097248d0a956,     0xbfeb16742a4ca2f5,     //   0.5324,  -0.84649
+    0x3fe0fecdd1770537,     0xbfeb1d22cfdadcc6,     //   0.5311,  -0.84731
+    0x3fe0f426bb2a8e7d,     0xbfeb23cd470013b4,     //   0.5298,  -0.84812
+    0x3fe0e97d078fd23b,     0xbfeb2a738eb51f33,     //   0.5285,  -0.84893
+    0x3fe0ded0b84bc4b5,     0xbfeb3115a5f37bf4,     //   0.5272,  -0.84974
+    0x3fe0d421cf03c12b,     0xbfeb37b38bb54c09,     //   0.5259,  -0.85055
+    0x3fe0c9704d5d898f,     0xbfeb3e4d3ef55712,     //  0.52459,  -0.85136
+    0x3fe0bebc34ff4646,     0xbfeb44e2beaf0a61,     //  0.52328,  -0.85216
+    0x3fe0b405878f85ec,     0xbfeb4b7409de7925,     //  0.52198,  -0.85296
+    0x3fe0a94c46b53d0b,     0xbfeb52011f805c92,     //  0.52067,  -0.85376
+    0x3fe09e907417c5e1,     0xbfeb5889fe921405,     //  0.51936,  -0.85456
+    0x3fe093d2115ee018,     0xbfeb5f0ea611a532,     //  0.51804,  -0.85535
+    0x3fe089112032b08c,     0xbfeb658f14fdbc47,     //  0.51673,  -0.85615
+    0x3fe07e4da23bc102,     0xbfeb6c0b4a55ac17,     //  0.51542,  -0.85694
+    0x3fe073879922ffed,     0xbfeb728345196e3e,     //   0.5141,  -0.85773
+    0x3fe068bf0691c028,     0xbfeb78f70449a34b,     //  0.51279,  -0.85852
+    0x3fe05df3ec31b8b6,     0xbfeb7f6686e792ea,     //  0.51147,   -0.8593
+    0x3fe053264bad0483,     0xbfeb85d1cbf52c02,     //  0.51015,  -0.86009
+    0x3fe0485626ae221a,     0xbfeb8c38d27504e9,     //  0.50883,  -0.86087
+    0x3fe03d837edff370,     0xbfeb929b996a5b7f,     //  0.50751,  -0.86165
+    0x3fe032ae55edbd95,     0xbfeb98fa1fd9155e,     //  0.50619,  -0.86242
+    0x3fe027d6ad83287e,     0xbfeb9f5464c5bffc,     //  0.50486,   -0.8632
+    0x3fe01cfc874c3eb7,     0xbfeba5aa673590d2,     //  0.50354,  -0.86397
+    0x3fe0121fe4f56d2c,     0xbfebabfc262e6586,     //  0.50221,  -0.86474
+    0x3fe00740c82b82e0,     0xbfebb249a0b6c40d,     //  0.50089,  -0.86551
+    0x3fdff8be6537615e,     0xbfebb892d5d5dad5,     //  0.49956,  -0.86628
+    0x3fdfe2f64be7120f,     0xbfebbed7c49380ea,     //  0.49823,  -0.86705
+    0x3fdfcd2947c1ff57,     0xbfebc5186bf8361d,     //   0.4969,  -0.86781
+    0x3fdfb7575c24d2de,     0xbfebcb54cb0d2327,     //  0.49557,  -0.86857
+    0x3fdfa1808c6cf7e0,     0xbfebd18ce0dc19d6,     //  0.49423,  -0.86933
+    0x3fdf8ba4dbf89aba,     0xbfebd7c0ac6f952a,     //   0.4929,  -0.87009
+    0x3fdf75c44e26a852,     0xbfebddf02cd2b983,     //  0.49156,  -0.87084
+    0x3fdf5fdee656cda3,     0xbfebe41b611154c1,     //  0.49023,   -0.8716
+    0x3fdf49f4a7e97729,     0xbfebea424837de6d,     //  0.48889,  -0.87235
+    0x3fdf3405963fd068,     0xbfebf064e15377dd,     //  0.48755,  -0.87309
+    0x3fdf1e11b4bbc35c,     0xbfebf6832b71ec5b,     //  0.48621,  -0.87384
+    0x3fdf081906bff7fd,     0xbfebfc9d25a1b147,     //  0.48487,  -0.87459
+    0x3fdef21b8fafd3b5,     0xbfec02b2cef1e641,     //  0.48353,  -0.87533
+    0x3fdedc1952ef78d5,     0xbfec08c426725549,     //  0.48218,  -0.87607
+    0x3fdec61253e3c61b,     0xbfec0ed12b3372e9,     //  0.48084,  -0.87681
+    0x3fdeb00695f25620,     0xbfec14d9dc465e58,     //  0.47949,  -0.87755
+    0x3fde99f61c817eda,     0xbfec1ade38bce19b,     //  0.47815,  -0.87828
+    0x3fde83e0eaf85113,     0xbfec20de3fa971b0,     //   0.4768,  -0.87901
+    0x3fde6dc704be97e2,     0xbfec26d9f01f2eaf,     //  0.47545,  -0.87974
+    0x3fde57a86d3cd824,     0xbfec2cd14931e3f1,     //   0.4741,  -0.88047
+    0x3fde418527dc4ffa,     0xbfec32c449f60831,     //  0.47275,   -0.8812
+    0x3fde2b5d3806f63b,     0xbfec38b2f180bdb1,     //   0.4714,  -0.88192
+    0x3fde1530a12779f4,     0xbfec3e9d3ee7d262,     //  0.47004,  -0.88264
+    0x3fddfeff66a941de,     0xbfec44833141c004,     //  0.46869,  -0.88336
+    0x3fdde8c98bf86bd6,     0xbfec4a64c7a5ac4c,     //  0.46733,  -0.88408
+    0x3fddd28f1481cc58,     0xbfec5042012b6907,     //  0.46598,   -0.8848
+    0x3fddbc5003b2edf8,     0xbfec561adceb743e,     //  0.46462,  -0.88551
+    0x3fdda60c5cfa10d8,     0xbfec5bef59fef85a,     //  0.46326,  -0.88622
+    0x3fdd8fc423c62a25,     0xbfec61bf777fcc48,     //   0.4619,  -0.88693
+    0x3fdd79775b86e389,     0xbfec678b3488739b,     //  0.46054,  -0.88764
+    0x3fdd632607ac9aa9,     0xbfec6d5290341eb2,     //  0.45918,  -0.88835
+    0x3fdd4cd02ba8609c,     0xbfec7315899eaad7,     //  0.45781,  -0.88905
+    0x3fdd3675caebf962,     0xbfec78d41fe4a267,     //  0.45645,  -0.88975
+    0x3fdd2016e8e9db5b,     0xbfec7e8e52233cf3,     //  0.45508,  -0.89045
+    0x3fdd09b389152ec1,     0xbfec84441f785f61,     //  0.45372,  -0.89115
+    0x3fdcf34baee1cd21,     0xbfec89f587029c13,     //  0.45235,  -0.89184
+    0x3fdcdcdf5dc440ce,     0xbfec8fa287e13305,     //  0.45098,  -0.89253
+    0x3fdcc66e9931c45d,     0xbfec954b213411f5,     //  0.44961,  -0.89322
+    0x3fdcaff964a0421d,     0xbfec9aef521bd480,     //  0.44824,  -0.89391
+    0x3fdc997fc3865388,     0xbfeca08f19b9c449,     //  0.44687,   -0.8946
+    0x3fdc8301b95b40c2,     0xbfeca62a772fd919,     //   0.4455,  -0.89528
+    0x3fdc6c7f4997000a,     0xbfecabc169a0b901,     //  0.44412,  -0.89597
+    0x3fdc55f877b23537,     0xbfecb153f02fb87d,     //  0.44275,  -0.89665
+    0x3fdc3f6d47263129,     0xbfecb6e20a00da99,     //  0.44137,  -0.89732
+    0x3fdc28ddbb6cf145,     0xbfecbc6bb638d10b,     //  0.43999,    -0.898
+    0x3fdc1249d8011ee7,     0xbfecc1f0f3fcfc5c,     //  0.43862,  -0.89867
+    0x3fdbfbb1a05e0edc,     0xbfecc771c2736c09,     //  0.43724,  -0.89935
+    0x3fdbe51517ffc0d9,     0xbfecccee20c2de9f,     //  0.43586,  -0.90002
+    0x3fdbce744262deee,     0xbfecd2660e12c1e6,     //  0.43448,  -0.90068
+    0x3fdbb7cf2304bd01,     0xbfecd7d9898b32f6,     //  0.43309,  -0.90135
+    0x3fdba125bd63583e,     0xbfecdd489254fe65,     //  0.43171,  -0.90201
+    0x3fdb8a7814fd5693,     0xbfece2b32799a060,     //  0.43033,  -0.90267
+    0x3fdb73c62d520624,     0xbfece819488344ce,     //  0.42894,  -0.90333
+    0x3fdb5d1009e15cc0,     0xbfeced7af43cc773,     //  0.42756,  -0.90399
+    0x3fdb4655ae2bf757,     0xbfecf2d829f1b40e,     //  0.42617,  -0.90464
+    0x3fdb2f971db31972,     0xbfecf830e8ce467b,     //  0.42478,   -0.9053
+    0x3fdb18d45bf8aca6,     0xbfecfd852fff6ad4,     //  0.42339,  -0.90595
+    0x3fdb020d6c7f4009,     0xbfed02d4feb2bd92,     //    0.422,   -0.9066
+    0x3fdaeb4252ca07ab,     0xbfed082054168bac,     //  0.42061,  -0.90724
+    0x3fdad473125cdc08,     0xbfed0d672f59d2b9,     //  0.41922,  -0.90789
+    0x3fdabd9faebc3980,     0xbfed12a98fac410c,     //  0.41782,  -0.90853
+    0x3fdaa6c82b6d3fc9,     0xbfed17e7743e35dc,     //  0.41643,  -0.90917
+    0x3fda8fec8bf5b166,     0xbfed1d20dc40c15c,     //  0.41503,  -0.90981
+    0x3fda790cd3dbf31a,     0xbfed2255c6e5a4e1,     //  0.41364,  -0.91044
+    0x3fda622906a70b63,     0xbfed2786335f52fc,     //  0.41224,  -0.91107
+    0x3fda4b4127dea1e4,     0xbfed2cb220e0ef9f,     //  0.41084,  -0.91171
+    0x3fda34553b0afee5,     0xbfed31d98e9e503a,     //  0.40944,  -0.91234
+    0x3fda1d6543b50ac0,     0xbfed36fc7bcbfbdc,     //  0.40804,  -0.91296
+    0x3fda067145664d57,     0xbfed3c1ae79f2b4e,     //  0.40664,  -0.91359
+    0x3fd9ef7943a8ed8a,     0xbfed4134d14dc93a,     //  0.40524,  -0.91421
+    0x3fd9d87d4207b0ab,     0xbfed464a380e7242,     //  0.40384,  -0.91483
+    0x3fd9c17d440df9f2,     0xbfed4b5b1b187524,     //  0.40243,  -0.91545
+    0x3fd9aa794d47c9ee,     0xbfed506779a3d2d9,     //  0.40103,  -0.91606
+    0x3fd993716141bdfe,     0xbfed556f52e93eb1,     //  0.39962,  -0.91668
+    0x3fd97c6583890fc2,     0xbfed5a72a6221e73,     //  0.39822,  -0.91729
+    0x3fd96555b7ab948f,     0xbfed5f7172888a7f,     //  0.39681,   -0.9179
+    0x3fd94e420137bce3,     0xbfed646bb7574de5,     //   0.3954,  -0.91851
+    0x3fd9372a63bc93d7,     0xbfed696173c9e68b,     //  0.39399,  -0.91911
+    0x3fd9200ee2c9be97,     0xbfed6e52a71c8547,     //  0.39258,  -0.91972
+    0x3fd908ef81ef7bd1,     0xbfed733f508c0dff,     //  0.39117,  -0.92032
+    0x3fd8f1cc44bea329,     0xbfed78276f5617c6,     //  0.38976,  -0.92092
+    0x3fd8daa52ec8a4af,     0xbfed7d0b02b8ecf9,     //  0.38835,  -0.92151
+    0x3fd8c37a439f884f,     0xbfed81ea09f38b63,     //  0.38693,  -0.92211
+    0x3fd8ac4b86d5ed44,     0xbfed86c48445a450,     //  0.38552,   -0.9227
+    0x3fd89518fbff098e,     0xbfed8b9a70ef9cb4,     //   0.3841,  -0.92329
+    0x3fd87de2a6aea963,     0xbfed906bcf328d46,     //  0.38268,  -0.92388
+    0x3fd866a88a792ea0,     0xbfed95389e50429b,     //  0.38127,  -0.92447
+    0x3fd84f6aaaf3903f,     0xbfed9a00dd8b3d46,     //  0.37985,  -0.92505
+    0x3fd838290bb359c8,     0xbfed9ec48c26b1f3,     //  0.37843,  -0.92563
+    0x3fd820e3b04eaac4,     0xbfeda383a9668988,     //  0.37701,  -0.92621
+    0x3fd8099a9c5c362d,     0xbfeda83e348f613b,     //  0.37559,  -0.92679
+    0x3fd7f24dd37341e3,     0xbfedacf42ce68ab9,     //  0.37416,  -0.92736
+    0x3fd7dafd592ba621,     0xbfedb1a591b20c38,     //  0.37274,  -0.92794
+    0x3fd7c3a9311dcce7,     0xbfedb6526238a09b,     //  0.37132,  -0.92851
+    0x3fd7ac515ee2b172,     0xbfedbafa9dc1b78d,     //  0.36989,  -0.92907
+    0x3fd794f5e613dfae,     0xbfedbf9e4395759a,     //  0.36847,  -0.92964
+    0x3fd77d96ca4b73a6,     0xbfedc43d52fcb453,     //  0.36704,  -0.93021
+    0x3fd766340f2418f6,     0xbfedc8d7cb410260,     //  0.36561,  -0.93077
+    0x3fd74ecdb8390a3e,     0xbfedcd6dabaca3a5,     //  0.36418,  -0.93133
+    0x3fd73763c9261092,     0xbfedd1fef38a915a,     //  0.36276,  -0.93188
+    0x3fd71ff6458782ec,     0xbfedd68ba2267a25,     //  0.36133,  -0.93244
+    0x3fd7088530fa459e,     0xbfeddb13b6ccc23d,     //   0.3599,  -0.93299
+    0x3fd6f1108f1bc9c5,     0xbfeddf9730ca837b,     //  0.35846,  -0.93354
+    0x3fd6d998638a0cb5,     0xbfede4160f6d8d81,     //  0.35703,  -0.93409
+    0x3fd6c21cb1e39771,     0xbfede890520465ce,     //   0.3556,  -0.93464
+    0x3fd6aa9d7dc77e16,     0xbfeded05f7de47da,     //  0.35416,  -0.93518
+    0x3fd6931acad55f51,     0xbfedf177004b2534,     //  0.35273,  -0.93573
+    0x3fd67b949cad63ca,     0xbfedf5e36a9ba59c,     //  0.35129,  -0.93627
+    0x3fd6640af6f03d9e,     0xbfedfa4b3621271d,     //  0.34986,   -0.9368
+    0x3fd64c7ddd3f27c6,     0xbfedfeae622dbe2b,     //  0.34842,  -0.93734
+    0x3fd634ed533be58e,     0xbfee030cee1435b8,     //  0.34698,  -0.93787
+    0x3fd61d595c88c203,     0xbfee0766d9280f54,     //  0.34554,   -0.9384
+    0x3fd605c1fcc88f63,     0xbfee0bbc22bd8349,     //   0.3441,  -0.93893
+    0x3fd5ee27379ea693,     0xbfee100cca2980ac,     //  0.34266,  -0.93946
+    0x3fd5d68910aee686,     0xbfee1458cec1ad83,     //  0.34122,  -0.93998
+    0x3fd5bee78b9db3b6,     0xbfee18a02fdc66d9,     //  0.33978,  -0.94051
+    0x3fd5a742ac0ff78d,     0xbfee1ce2ecd0c0d8,     //  0.33833,  -0.94103
+    0x3fd58f9a75ab1fdd,     0xbfee212104f686e5,     //  0.33689,  -0.94154
+    0x3fd577eeec151e47,     0xbfee255a77a63bb8,     //  0.33545,  -0.94206
+    0x3fd5604012f467b4,     0xbfee298f4439197a,     //    0.334,  -0.94257
+    0x3fd5488dedeff3be,     0xbfee2dbf6a0911d9,     //  0.33255,  -0.94308
+    0x3fd530d880af3c24,     0xbfee31eae870ce25,     //  0.33111,  -0.94359
+    0x3fd5191fceda3c35,     0xbfee3611becbaf69,     //  0.32966,   -0.9441
+    0x3fd50163dc197047,     0xbfee3a33ec75ce85,     //  0.32821,   -0.9446
+    0x3fd4e9a4ac15d520,     0xbfee3e5170cbfc46,     //  0.32676,  -0.94511
+    0x3fd4d1e24278e76a,     0xbfee426a4b2bc17e,     //  0.32531,  -0.94561
+    0x3fd4ba1ca2eca31c,     0xbfee467e7af35f23,     //  0.32386,  -0.94611
+    0x3fd4a253d11b82f3,     0xbfee4a8dff81ce5e,     //  0.32241,   -0.9466
+    0x3fd48a87d0b07fd7,     0xbfee4e98d836c0af,     //  0.32096,  -0.94709
+    0x3fd472b8a5571054,     0xbfee529f04729ffc,     //   0.3195,  -0.94759
+    0x3fd45ae652bb2800,     0xbfee56a083968eb1,     //  0.31805,  -0.94807
+    0x3fd44310dc8936f0,     0xbfee5a9d550467d3,     //  0.31659,  -0.94856
+    0x3fd42b38466e2928,     0xbfee5e95781ebf1c,     //  0.31514,  -0.94905
+    0x3fd4135c94176602,     0xbfee6288ec48e112,     //  0.31368,  -0.94953
+    0x3fd3fb7dc932cfa4,     0xbfee6677b0e6d31e,     //  0.31222,  -0.95001
+    0x3fd3e39be96ec271,     0xbfee6a61c55d53a7,     //  0.31077,  -0.95049
+    0x3fd3cbb6f87a146e,     0xbfee6e472911da27,     //  0.30931,  -0.95096
+    0x3fd3b3cefa0414b7,     0xbfee7227db6a9744,     //  0.30785,  -0.95144
+    0x3fd39be3f1bc8aef,     0xbfee7603dbce74e9,     //  0.30639,  -0.95191
+    0x3fd383f5e353b6aa,     0xbfee79db29a5165a,     //  0.30493,  -0.95238
+    0x3fd36c04d27a4edf,     0xbfee7dadc456d850,     //  0.30347,  -0.95284
+    0x3fd35410c2e18152,     0xbfee817bab4cd10d,     //  0.30201,  -0.95331
+    0x3fd33c19b83af207,     0xbfee8544ddf0d075,     //  0.30054,  -0.95377
+    0x3fd3241fb638baaf,     0xbfee89095bad6025,     //  0.29908,  -0.95423
+    0x3fd30c22c08d6a13,     0xbfee8cc923edc388,     //  0.29762,  -0.95469
+    0x3fd2f422daec0386,     0xbfee9084361df7f3,     //  0.29615,  -0.95514
+    0x3fd2dc200907fe51,     0xbfee943a91aab4b4,     //  0.29469,  -0.95559
+    0x3fd2c41a4e954520,     0xbfee97ec36016b30,     //  0.29322,  -0.95605
+    0x3fd2ac11af483572,     0xbfee9b99229046f8,     //  0.29175,  -0.95649
+    0x3fd294062ed59f05,     0xbfee9f4156c62dda,     //  0.29028,  -0.95694
+    0x3fd27bf7d0f2c346,     0xbfeea2e4d212c000,     //  0.28882,  -0.95738
+    0x3fd263e6995554ba,     0xbfeea68393e65800,     //  0.28735,  -0.95783
+    0x3fd24bd28bb37672,     0xbfeeaa1d9bb20af3,     //  0.28588,  -0.95827
+    0x3fd233bbabc3bb72,     0xbfeeadb2e8e7a88e,     //  0.28441,   -0.9587
+    0x3fd21ba1fd3d2623,     0xbfeeb1437af9bb34,     //  0.28294,  -0.95914
+    0x3fd2038583d727bd,     0xbfeeb4cf515b8811,     //  0.28146,  -0.95957
+    0x3fd1eb6643499fbb,     0xbfeeb8566b810f2a,     //  0.27999,     -0.96
+    0x3fd1d3443f4cdb3d,     0xbfeebbd8c8df0b74,     //  0.27852,  -0.96043
+    0x3fd1bb1f7b999480,     0xbfeebf5668eaf2ef,     //  0.27705,  -0.96086
+    0x3fd1a2f7fbe8f243,     0xbfeec2cf4b1af6b2,     //  0.27557,  -0.96128
+    0x3fd18acdc3f4873a,     0xbfeec6436ee60309,     //   0.2741,   -0.9617
+    0x3fd172a0d7765177,     0xbfeec9b2d3c3bf84,     //  0.27262,  -0.96212
+    0x3fd15a713a28b9d9,     0xbfeecd1d792c8f10,     //  0.27115,  -0.96254
+    0x3fd1423eefc69378,     0xbfeed0835e999009,     //  0.26967,  -0.96295
+    0x3fd12a09fc0b1b12,     0xbfeed3e483849c51,     //  0.26819,  -0.96337
+    0x3fd111d262b1f677,     0xbfeed740e7684963,     //  0.26671,  -0.96378
+    0x3fd0f998277733f7,     0xbfeeda9889bfe86a,     //  0.26523,  -0.96418
+    0x3fd0e15b4e1749cd,     0xbfeeddeb6a078651,     //  0.26375,  -0.96459
+    0x3fd0c91bda4f158d,     0xbfeee13987bbebdc,     //  0.26227,  -0.96499
+    0x3fd0b0d9cfdbdb90,     0xbfeee482e25a9dbc,     //  0.26079,  -0.96539
+    0x3fd09895327b465e,     0xbfeee7c77961dc9e,     //  0.25931,  -0.96579
+    0x3fd0804e05eb661e,     0xbfeeeb074c50a544,     //  0.25783,  -0.96619
+    0x3fd068044deab002,     0xbfeeee425aa6b09a,     //  0.25635,  -0.96658
+    0x3fd04fb80e37fdae,     0xbfeef178a3e473c2,     //  0.25487,  -0.96698
+    0x3fd037694a928cac,     0xbfeef4aa278b2032,     //  0.25338,  -0.96737
+    0x3fd01f1806b9fdd2,     0xbfeef7d6e51ca3c0,     //   0.2519,  -0.96775
+    0x3fd006c4466e54af,     0xbfeefafedc1ba8b7,     //  0.25041,  -0.96814
+    0x3fcfdcdc1adfedf8,     0xbfeefe220c0b95ec,     //  0.24893,  -0.96852
+    0x3fcfac2abeff57ff,     0xbfef014074708ed3,     //  0.24744,   -0.9689
+    0x3fcf7b7480bd3801,     0xbfef045a14cf738c,     //  0.24596,  -0.96928
+    0x3fcf4ab9679c9f5c,     0xbfef076eecade0fa,     //  0.24447,  -0.96966
+    0x3fcf19f97b215f1a,     0xbfef0a7efb9230d7,     //  0.24298,  -0.97003
+    0x3fcee934c2d006c7,     0xbfef0d8a410379c5,     //  0.24149,   -0.9704
+    0x3fceb86b462de348,     0xbfef1090bc898f5f,     //     0.24,  -0.97077
+    0x3fce879d0cc0fdaf,     0xbfef13926dad024e,     //  0.23851,  -0.97114
+    0x3fce56ca1e101a1b,     0xbfef168f53f7205d,     //  0.23702,   -0.9715
+    0x3fce25f281a2b684,     0xbfef19876ef1f486,     //  0.23553,  -0.97187
+    0x3fcdf5163f01099a,     0xbfef1c7abe284708,     //  0.23404,  -0.97223
+    0x3fcdc4355db40195,     0xbfef1f6941259d7a,     //  0.23255,  -0.97258
+    0x3fcd934fe5454311,     0xbfef2252f7763ada,     //  0.23106,  -0.97294
+    0x3fcd6265dd3f27e3,     0xbfef2537e0a71f9f,     //  0.22957,  -0.97329
+    0x3fcd31774d2cbdee,     0xbfef2817fc4609ce,     //  0.22807,  -0.97364
+    0x3fcd00843c99c5f9,     0xbfef2af349e17507,     //  0.22658,  -0.97399
+    0x3fcccf8cb312b286,     0xbfef2dc9c9089a9d,     //  0.22508,  -0.97434
+    0x3fcc9e90b824a6a9,     0xbfef309b794b719f,     //  0.22359,  -0.97468
+    0x3fcc6d90535d74dc,     0xbfef33685a3aaef0,     //  0.22209,  -0.97503
+    0x3fcc3c8b8c4b9dd7,     0xbfef36306b67c556,     //   0.2206,  -0.97536
+    0x3fcc0b826a7e4f63,     0xbfef38f3ac64e589,     //   0.2191,   -0.9757
+    0x3fcbda74f5856330,     0xbfef3bb21cc4fe47,     //   0.2176,  -0.97604
+    0x3fcba96334f15dad,     0xbfef3e6bbc1bbc65,     //  0.21611,  -0.97637
+    0x3fcb784d30536cda,     0xbfef412089fd8adc,     //  0.21461,   -0.9767
+    0x3fcb4732ef3d6722,     0xbfef43d085ff92dd,     //  0.21311,  -0.97703
+    0x3fcb16147941ca2a,     0xbfef467bafb7bbe0,     //  0.21161,  -0.97735
+    0x3fcae4f1d5f3b9ab,     0xbfef492206bcabb4,     //  0.21011,  -0.97768
+    0x3fcab3cb0ce6fe44,     0xbfef4bc38aa5c694,     //  0.20861,    -0.978
+    0x3fca82a025b00451,     0xbfef4e603b0b2f2d,     //  0.20711,  -0.97832
+    0x3fca517127e3dabc,     0xbfef50f81785c6b9,     //  0.20561,  -0.97863
+    0x3fca203e1b1831da,     0xbfef538b1faf2d07,     //  0.20411,  -0.97895
+    0x3fc9ef0706e35a35,     0xbfef56195321c090,     //  0.20261,  -0.97926
+    0x3fc9bdcbf2dc4366,     0xbfef58a2b1789e84,     //   0.2011,  -0.97957
+    0x3fc98c8ce69a7aec,     0xbfef5b273a4fa2d9,     //   0.1996,  -0.97988
+    0x3fc95b49e9b62af9,     0xbfef5da6ed43685d,     //   0.1981,  -0.98018
+    0x3fc92a0303c8194f,     0xbfef6021c9f148c2,     //  0.19659,  -0.98048
+    0x3fc8f8b83c69a60a,     0xbfef6297cff75cb0,     //  0.19509,  -0.98079
+    0x3fc8c7699b34ca7e,     0xbfef6508fef47bd5,     //  0.19359,  -0.98108
+    0x3fc8961727c41804,     0xbfef677556883cee,     //  0.19208,  -0.98138
+    0x3fc864c0e9b2b6cf,     0xbfef69dcd652f5de,     //  0.19057,  -0.98167
+    0x3fc83366e89c64c5,     0xbfef6c3f7df5bbb7,     //  0.18907,  -0.98196
+    0x3fc802092c1d744b,     0xbfef6e9d4d1262ca,     //  0.18756,  -0.98225
+    0x3fc7d0a7bbd2cb1b,     0xbfef70f6434b7eb7,     //  0.18606,  -0.98254
+    0x3fc79f429f59e11d,     0xbfef734a60446279,     //  0.18455,  -0.98282
+    0x3fc76dd9de50bf31,     0xbfef7599a3a12077,     //  0.18304,  -0.98311
+    0x3fc73c6d8055fe0a,     0xbfef77e40d068a90,     //  0.18153,  -0.98339
+    0x3fc70afd8d08c4ff,     0xbfef7a299c1a322a,     //  0.18002,  -0.98366
+    0x3fc6d98a0c08c8da,     0xbfef7c6a50826840,     //  0.17851,  -0.98394
+    0x3fc6a81304f64ab2,     0xbfef7ea629e63d6e,     //    0.177,  -0.98421
+    0x3fc676987f7216b8,     0xbfef80dd27ed8204,     //  0.17549,  -0.98448
+    0x3fc6451a831d830d,     0xbfef830f4a40c60c,     //  0.17398,  -0.98475
+    0x3fc61399179a6e94,     0xbfef853c9089595e,     //  0.17247,  -0.98501
+    0x3fc5e214448b3fc6,     0xbfef8764fa714ba9,     //  0.17096,  -0.98528
+    0x3fc5b08c1192e381,     0xbfef898887a36c84,     //  0.16945,  -0.98554
+    0x3fc57f008654cbde,     0xbfef8ba737cb4b78,     //  0.16794,   -0.9858
+    0x3fc54d71aa74ef02,     0xbfef8dc10a95380d,     //  0.16643,  -0.98605
+    0x3fc51bdf8597c5f2,     0xbfef8fd5ffae41db,     //  0.16491,  -0.98631
+    0x3fc4ea4a1f624b61,     0xbfef91e616c43891,     //   0.1634,  -0.98656
+    0x3fc4b8b17f79fa88,     0xbfef93f14f85ac08,     //  0.16189,  -0.98681
+    0x3fc48715ad84cdf5,     0xbfef95f7a9a1ec47,     //  0.16037,  -0.98706
+    0x3fc45576b1293e5a,     0xbfef97f924c9099b,     //  0.15886,   -0.9873
+    0x3fc423d4920e4166,     0xbfef99f5c0abd496,     //  0.15734,  -0.98754
+    0x3fc3f22f57db4893,     0xbfef9bed7cfbde29,     //  0.15583,  -0.98778
+    0x3fc3c0870a383ff6,     0xbfef9de0596b77a3,     //  0.15431,  -0.98802
+    0x3fc38edbb0cd8d14,     0xbfef9fce55adb2c8,     //   0.1528,  -0.98826
+    0x3fc35d2d53440db2,     0xbfefa1b7717661d5,     //  0.15128,  -0.98849
+    0x3fc32b7bf94516a7,     0xbfefa39bac7a1791,     //  0.14976,  -0.98872
+    0x3fc2f9c7aa7a72af,     0xbfefa57b066e2754,     //  0.14825,  -0.98895
+    0x3fc2c8106e8e613a,     0xbfefa7557f08a517,     //  0.14673,  -0.98918
+    0x3fc296564d2b953e,     0xbfefa92b1600657c,     //  0.14521,   -0.9894
+    0x3fc264994dfd340a,     0xbfefaafbcb0cfddc,     //   0.1437,  -0.98962
+    0x3fc232d978aed413,     0xbfefacc79de6c44f,     //  0.14218,  -0.98984
+    0x3fc20116d4ec7bce,     0xbfefae8e8e46cfbb,     //  0.14066,  -0.99006
+    0x3fc1cf516a62a077,     0xbfefb0509be6f7db,     //  0.13914,  -0.99027
+    0x3fc19d8940be24e7,     0xbfefb20dc681d54d,     //  0.13762,  -0.99049
+    0x3fc16bbe5fac5865,     0xbfefb3c60dd2c199,     //   0.1361,   -0.9907
+    0x3fc139f0cedaf576,     0xbfefb5797195d741,     //  0.13458,   -0.9909
+    0x3fc1082095f820b0,     0xbfefb727f187f1c7,     //  0.13306,  -0.99111
+    0x3fc0d64dbcb26786,     0xbfefb8d18d66adb7,     //  0.13154,  -0.99131
+    0x3fc0a4784ab8bf1d,     0xbfefba7644f068b5,     //  0.13002,  -0.99151
+    0x3fc072a047ba831d,     0xbfefbc1617e44186,     //   0.1285,  -0.99171
+    0x3fc040c5bb67747e,     0xbfefbdb106021816,     //  0.12698,  -0.99191
+    0x3fc00ee8ad6fb85b,     0xbfefbf470f0a8d88,     //  0.12545,   -0.9921
+    0x3fbfba124b07ad85,     0xbfefc0d832bf043a,     //  0.12393,  -0.99229
+    0x3fbf564e56a9730e,     0xbfefc26470e19fd3,     //  0.12241,  -0.99248
+    0x3fbef2858d27561b,     0xbfefc3ebc935454c,     //  0.12089,  -0.99267
+    0x3fbe8eb7fde4aa3e,     0xbfefc56e3b7d9af6,     //  0.11937,  -0.99285
+    0x3fbe2ae5b8457f77,     0xbfefc6ebc77f0887,     //  0.11784,  -0.99303
+    0x3fbdc70ecbae9fc8,     0xbfefc8646cfeb721,     //  0.11632,  -0.99321
+    0x3fbd633347858ce4,     0xbfefc9d82bc2915e,     //  0.11479,  -0.99339
+    0x3fbcff533b307dc1,     0xbfefcb4703914354,     //  0.11327,  -0.99356
+    0x3fbc9b6eb6165c42,     0xbfefccb0f4323aa3,     //  0.11175,  -0.99374
+    0x3fbc3785c79ec2d5,     0xbfefce15fd6da67b,     //  0.11022,  -0.99391
+    0x3fbbd3987f31fa0e,     0xbfefcf761f0c77a3,     //   0.1087,  -0.99407
+    0x3fbb6fa6ec38f64c,     0xbfefd0d158d86087,     //  0.10717,  -0.99424
+    0x3fbb0bb11e1d5559,     0xbfefd227aa9bd53b,     //  0.10565,   -0.9944
+    0x3fbaa7b724495c04,     0xbfefd37914220b84,     //  0.10412,  -0.99456
+    0x3fba43b90e27f3c4,     0xbfefd4c59536fae4,     //   0.1026,  -0.99472
+    0x3fb9dfb6eb24a85c,     0xbfefd60d2da75c9e,     //  0.10107,  -0.99488
+    0x3fb97bb0caaba56f,     0xbfefd74fdd40abbf,     // 0.099544,  -0.99503
+    0x3fb917a6bc29b42c,     0xbfefd88da3d12526,     // 0.098017,  -0.99518
+    0x3fb8b398cf0c38e0,     0xbfefd9c68127c78c,     //  0.09649,  -0.99533
+    0x3fb84f8712c130a0,     0xbfefdafa7514538c,     // 0.094963,  -0.99548
+    0x3fb7eb7196b72ee4,     0xbfefdc297f674ba9,     // 0.093436,  -0.99563
+    0x3fb787586a5d5b21,     0xbfefdd539ff1f456,     // 0.091909,  -0.99577
+    0x3fb7233b9d236e71,     0xbfefde78d68653fd,     // 0.090381,  -0.99591
+    0x3fb6bf1b3e79b129,     0xbfefdf9922f73307,     // 0.088854,  -0.99604
+    0x3fb65af75dd0f87b,     0xbfefe0b485181be3,     // 0.087326,  -0.99618
+    0x3fb5f6d00a9aa419,     0xbfefe1cafcbd5b09,     // 0.085797,  -0.99631
+    0x3fb592a554489bc8,     0xbfefe2dc89bbff08,     // 0.084269,  -0.99644
+    0x3fb52e774a4d4d0a,     0xbfefe3e92be9d886,     //  0.08274,  -0.99657
+    0x3fb4ca45fc1ba8b6,     0xbfefe4f0e31d7a4a,     // 0.081211,   -0.9967
+    0x3fb4661179272096,     0xbfefe5f3af2e3940,     // 0.079682,  -0.99682
+    0x3fb401d9d0e3a507,     0xbfefe6f18ff42c84,     // 0.078153,  -0.99694
+    0x3fb39d9f12c5a299,     0xbfefe7ea85482d60,     // 0.076624,  -0.99706
+    0x3fb339614e41ffa5,     0xbfefe8de8f03d75c,     // 0.075094,  -0.99718
+    0x3fb2d52092ce19f6,     0xbfefe9cdad01883a,     // 0.073565,  -0.99729
+    0x3fb270dcefdfc45b,     0xbfefeab7df1c6005,     // 0.072035,   -0.9974
+    0x3fb20c9674ed444c,     0xbfefeb9d2530410f,     // 0.070505,  -0.99751
+    0x3fb1a84d316d4f8a,     0xbfefec7d7f19cffc,     // 0.068974,  -0.99762
+    0x3fb1440134d709b2,     0xbfefed58ecb673c4,     // 0.067444,  -0.99772
+    0x3fb0dfb28ea201e6,     0xbfefee2f6de455ba,     // 0.065913,  -0.99783
+    0x3fb07b614e463064,     0xbfefef0102826191,     // 0.064383,  -0.99793
+    0x3fb0170d833bf421,     0xbfefefcdaa704562,     // 0.062852,  -0.99802
+    0x3faf656e79f820e0,     0xbfeff095658e71ad,     // 0.061321,  -0.99812
+    0x3fae9cbd15ff5527,     0xbfeff15833be1965,     //  0.05979,  -0.99821
+    0x3fadd406f9808ec8,     0xbfeff21614e131ed,     // 0.058258,   -0.9983
+    0x3fad0b4c436f91d0,     0xbfeff2cf08da7321,     // 0.056727,  -0.99839
+    0x3fac428d12c0d7e3,     0xbfeff3830f8d575c,     // 0.055195,  -0.99848
+    0x3fab79c986698b78,     0xbfeff43228de1b77,     // 0.053664,  -0.99856
+    0x3faab101bd5f8317,     0xbfeff4dc54b1bed3,     // 0.052132,  -0.99864
+    0x3fa9e835d6993c87,     0xbfeff58192ee0358,     //   0.0506,  -0.99872
+    0x3fa91f65f10dd814,     0xbfeff621e3796d7e,     // 0.049068,   -0.9988
+    0x3fa856922bb513c1,     0xbfeff6bd463b444d,     // 0.047535,  -0.99887
+    0x3fa78dbaa5874685,     0xbfeff753bb1b9164,     // 0.046003,  -0.99894
+    0x3fa6c4df7d7d5b84,     0xbfeff7e5420320f9,     // 0.044471,  -0.99901
+    0x3fa5fc00d290cd43,     0xbfeff871dadb81df,     // 0.042938,  -0.99908
+    0x3fa5331ec3bba0eb,     0xbfeff8f9858f058b,     // 0.041406,  -0.99914
+    0x3fa46a396ff86179,     0xbfeff97c4208c014,     // 0.039873,   -0.9992
+    0x3fa3a150f6421afc,     0xbfeff9fa10348837,     //  0.03834,  -0.99926
+    0x3fa2d865759455cd,     0xbfeffa72effef75d,     // 0.036807,  -0.99932
+    0x3fa20f770ceb11c6,     0xbfeffae6e1556998,     // 0.035274,  -0.99938
+    0x3fa14685db42c17e,     0xbfeffb55e425fdae,     // 0.033741,  -0.99943
+    0x3fa07d91ff984580,     0xbfeffbbff85f9515,     // 0.032208,  -0.99948
+    0x3f9f693731d1cf01,     0xbfeffc251df1d3f8,     // 0.030675,  -0.99953
+    0x3f9dd7458c64ab39,     0xbfeffc8554cd213a,     // 0.029142,  -0.99958
+    0x3f9c454f4ce53b1c,     0xbfeffce09ce2a679,     // 0.027608,  -0.99962
+    0x3f9ab354b1504fca,     0xbfeffd36f624500c,     // 0.026075,  -0.99966
+    0x3f992155f7a3667e,     0xbfeffd886084cd0d,     // 0.024541,   -0.9997
+    0x3f978f535ddc9f03,     0xbfeffdd4dbf78f52,     // 0.023008,  -0.99974
+    0x3f95fd4d21fab226,     0xbfeffe1c6870cb77,     // 0.021474,  -0.99977
+    0x3f946b4381fce81c,     0xbfeffe5f05e578db,     //  0.01994,   -0.9998
+    0x3f92d936bbe30efd,     0xbfeffe9cb44b51a1,     // 0.018407,  -0.99983
+    0x3f9147270dad7132,     0xbfeffed57398d2b7,     // 0.016873,  -0.99986
+    0x3f8f6a296ab997ca,     0xbfefff0943c53bd1,     // 0.015339,  -0.99988
+    0x3f8c45ffe1e48ad9,     0xbfefff3824c88f6f,     // 0.013805,   -0.9999
+    0x3f8921d1fcdec784,     0xbfefff62169b92db,     // 0.012272,  -0.99992
+    0x3f85fda037ac05e0,     0xbfefff871937ce2f,     // 0.010738,  -0.99994
+    0x3f82d96b0e509703,     0xbfefffa72c978c4f,     //0.0092038,  -0.99996
+    0x3f7f6a65f9a2a3c5,     0xbfefffc250b5daef,     //0.0076698,  -0.99997
+    0x3f7921f0fe670071,     0xbfefffd8858e8a92,     //0.0061359,  -0.99998
+    0x3f72d97822f996bc,     0xbfefffe9cb1e2e8d,     //0.0046019,  -0.99999
+    0x3f6921f8becca4ba,     0xbfeffff621621d02,     // 0.003068,        -1
+    0x3f5921faaee6472d,     0xbfeffffd88586ee6,     // 0.001534,        -1
+};
+
+#endif
+
+
 #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_32)
 /**
   @par
diff --git a/CMSIS/DSP/Source/CommonTables/arm_const_structs.c b/CMSIS/DSP/Source/CommonTables/arm_const_structs.c
index 6887da4..75a57dc 100644
--- a/CMSIS/DSP/Source/CommonTables/arm_const_structs.c
+++ b/CMSIS/DSP/Source/CommonTables/arm_const_structs.c
@@ -29,7 +29,62 @@
 
 #include "arm_const_structs.h"
 
-#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) 
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES)
+
+/* Floating-point structs */
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_16) && defined(ARM_TABLE_BITREVIDX_FLT64_16))
+const arm_cfft_instance_f64 arm_cfft_sR_f64_len16 = {
+  16, (const float64_t *)twiddleCoefF64_16, armBitRevIndexTableF64_16, ARMBITREVINDEXTABLEF64_16_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_32) && defined(ARM_TABLE_BITREVIDX_FLT64_32))
+const arm_cfft_instance_f64 arm_cfft_sR_f64_len32 = {
+  32, (const float64_t *)twiddleCoefF64_32, armBitRevIndexTableF64_32, ARMBITREVINDEXTABLEF64_32_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_64) && defined(ARM_TABLE_BITREVIDX_FLT64_64))
+const arm_cfft_instance_f64 arm_cfft_sR_f64_len64 = {
+  64, (const float64_t *)twiddleCoefF64_64, armBitRevIndexTableF64_64, ARMBITREVINDEXTABLEF64_64_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_128) && defined(ARM_TABLE_BITREVIDX_FLT64_128))
+const arm_cfft_instance_f64 arm_cfft_sR_f64_len128 = {
+  128, (const float64_t *)twiddleCoefF64_128, armBitRevIndexTableF64_128, ARMBITREVINDEXTABLEF64_128_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_256) && defined(ARM_TABLE_BITREVIDX_FLT64_256))
+const arm_cfft_instance_f64 arm_cfft_sR_f64_len256 = {
+  256, (const float64_t *)twiddleCoefF64_256, armBitRevIndexTableF64_256, ARMBITREVINDEXTABLEF64_256_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_512) && defined(ARM_TABLE_BITREVIDX_FLT64_512))
+const arm_cfft_instance_f64 arm_cfft_sR_f64_len512 = {
+  512, (const float64_t *)twiddleCoefF64_512, armBitRevIndexTableF64_512, ARMBITREVINDEXTABLEF64_512_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_1024) && defined(ARM_TABLE_BITREVIDX_FLT64_1024))
+const arm_cfft_instance_f64 arm_cfft_sR_f64_len1024 = {
+  1024, (const float64_t *)twiddleCoefF64_1024, armBitRevIndexTableF64_1024, ARMBITREVINDEXTABLEF64_1024_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_2048) && defined(ARM_TABLE_BITREVIDX_FLT64_2048))
+const arm_cfft_instance_f64 arm_cfft_sR_f64_len2048 = {
+  2048, (const float64_t *)twiddleCoefF64_2048, armBitRevIndexTableF64_2048, ARMBITREVINDEXTABLEF64_2048_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_4096) && defined(ARM_TABLE_BITREVIDX_FLT64_4096))
+const arm_cfft_instance_f64 arm_cfft_sR_f64_len4096 = {
+  4096, (const float64_t *)twiddleCoefF64_4096, armBitRevIndexTableF64_4096, ARMBITREVINDEXTABLEF64_4096_TABLE_LENGTH
+};
+#endif
 
 /* Floating-point structs */
 #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_16) && defined(ARM_TABLE_BITREVIDX_FLT_16))
@@ -92,103 +147,103 @@
 const arm_cfft_instance_q31 arm_cfft_sR_q31_len16 = {
   16, twiddleCoef_16_q31, armBitRevIndexTable_fixed_16, ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH
 };
-#endif 
+#endif
 
 #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_32) && defined(ARM_TABLE_BITREVIDX_FXT_32))
 const arm_cfft_instance_q31 arm_cfft_sR_q31_len32 = {
   32, twiddleCoef_32_q31, armBitRevIndexTable_fixed_32, ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH
 };
-#endif 
+#endif
 
 #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_64) && defined(ARM_TABLE_BITREVIDX_FXT_64))
 const arm_cfft_instance_q31 arm_cfft_sR_q31_len64 = {
   64, twiddleCoef_64_q31, armBitRevIndexTable_fixed_64, ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH
 };
-#endif 
+#endif
 
 #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_128) && defined(ARM_TABLE_BITREVIDX_FXT_128))
 const arm_cfft_instance_q31 arm_cfft_sR_q31_len128 = {
   128, twiddleCoef_128_q31, armBitRevIndexTable_fixed_128, ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH
 };
-#endif 
+#endif
 
 #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_256) && defined(ARM_TABLE_BITREVIDX_FXT_256))
 const arm_cfft_instance_q31 arm_cfft_sR_q31_len256 = {
   256, twiddleCoef_256_q31, armBitRevIndexTable_fixed_256, ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH
 };
-#endif 
+#endif
 
 #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_512) && defined(ARM_TABLE_BITREVIDX_FXT_512))
 const arm_cfft_instance_q31 arm_cfft_sR_q31_len512 = {
   512, twiddleCoef_512_q31, armBitRevIndexTable_fixed_512, ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH
 };
-#endif 
+#endif
 
 #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_1024) && defined(ARM_TABLE_BITREVIDX_FXT_1024))
 const arm_cfft_instance_q31 arm_cfft_sR_q31_len1024 = {
   1024, twiddleCoef_1024_q31, armBitRevIndexTable_fixed_1024, ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH
 };
-#endif 
+#endif
 
 #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_2048) && defined(ARM_TABLE_BITREVIDX_FXT_2048))
 const arm_cfft_instance_q31 arm_cfft_sR_q31_len2048 = {
   2048, twiddleCoef_2048_q31, armBitRevIndexTable_fixed_2048, ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH
 };
-#endif 
+#endif
 
 #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_4096) && defined(ARM_TABLE_BITREVIDX_FXT_4096))
 const arm_cfft_instance_q31 arm_cfft_sR_q31_len4096 = {
   4096, twiddleCoef_4096_q31, armBitRevIndexTable_fixed_4096, ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH
 };
-#endif 
+#endif
 
 #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_16) && defined(ARM_TABLE_BITREVIDX_FXT_16))
 const arm_cfft_instance_q15 arm_cfft_sR_q15_len16 = {
   16, twiddleCoef_16_q15, armBitRevIndexTable_fixed_16, ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH
 };
-#endif 
+#endif
 
 #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_32) && defined(ARM_TABLE_BITREVIDX_FXT_32))
 const arm_cfft_instance_q15 arm_cfft_sR_q15_len32 = {
   32, twiddleCoef_32_q15, armBitRevIndexTable_fixed_32, ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH
 };
-#endif 
+#endif
 
 #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_64) && defined(ARM_TABLE_BITREVIDX_FXT_64))
 const arm_cfft_instance_q15 arm_cfft_sR_q15_len64 = {
   64, twiddleCoef_64_q15, armBitRevIndexTable_fixed_64, ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH
 };
-#endif 
+#endif
 
 #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_128) && defined(ARM_TABLE_BITREVIDX_FXT_128))
 const arm_cfft_instance_q15 arm_cfft_sR_q15_len128 = {
   128, twiddleCoef_128_q15, armBitRevIndexTable_fixed_128, ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH
 };
-#endif 
+#endif
 
 #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_256) && defined(ARM_TABLE_BITREVIDX_FXT_256))
 const arm_cfft_instance_q15 arm_cfft_sR_q15_len256 = {
   256, twiddleCoef_256_q15, armBitRevIndexTable_fixed_256, ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH
 };
-#endif 
+#endif
 
 #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_512) && defined(ARM_TABLE_BITREVIDX_FXT_512))
 const arm_cfft_instance_q15 arm_cfft_sR_q15_len512 = {
   512, twiddleCoef_512_q15, armBitRevIndexTable_fixed_512, ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH
 };
-#endif 
+#endif
 
 #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_1024) && defined(ARM_TABLE_BITREVIDX_FXT_1024))
 const arm_cfft_instance_q15 arm_cfft_sR_q15_len1024 = {
   1024, twiddleCoef_1024_q15, armBitRevIndexTable_fixed_1024, ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH
 };
-#endif 
+#endif
 
 #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_2048) && defined(ARM_TABLE_BITREVIDX_FXT_2048))
 const arm_cfft_instance_q15 arm_cfft_sR_q15_len2048 = {
   2048, twiddleCoef_2048_q15, armBitRevIndexTable_fixed_2048, ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH
 };
-#endif 
+#endif
 
 #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_4096) && defined(ARM_TABLE_BITREVIDX_FXT_4096))
 const arm_cfft_instance_q15 arm_cfft_sR_q15_len4096 = {
@@ -197,6 +252,72 @@
 #endif
 
 /* Structure for real-value inputs */
+/* Double precision strucs */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_32) && defined(ARM_TABLE_BITREVIDX_FLT64_32) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_32))
+const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len32 = {
+  { 16, (const float64_t *)twiddleCoefF64_32, armBitRevIndexTableF64_32, ARMBITREVINDEXTABLEF64_16_TABLE_LENGTH },
+  32U,
+  (float64_t *)twiddleCoefF64_rfft_32
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_64) && defined(ARM_TABLE_BITREVIDX_FLT64_64) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_64))
+const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len64 = {
+   { 32, (const float64_t *)twiddleCoefF64_32, armBitRevIndexTableF64_32, ARMBITREVINDEXTABLEF64_32_TABLE_LENGTH },
+  64U,
+  (float64_t *)twiddleCoefF64_rfft_64
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_128) && defined(ARM_TABLE_BITREVIDX_FLT64_128) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_128))
+const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len128 = {
+  { 64, (const float64_t *)twiddleCoefF64_64, armBitRevIndexTableF64_64, ARMBITREVINDEXTABLEF64_64_TABLE_LENGTH },
+  128U,
+  (float64_t *)twiddleCoefF64_rfft_128
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_256) && defined(ARM_TABLE_BITREVIDX_FLT64_256) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_256))
+const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len256 = {
+  { 128, (const float64_t *)twiddleCoefF64_128, armBitRevIndexTableF64_128, ARMBITREVINDEXTABLEF64_128_TABLE_LENGTH },
+  256U,
+  (float64_t *)twiddleCoefF64_rfft_256
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_512) && defined(ARM_TABLE_BITREVIDX_FLT64_512) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_512))
+const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len512 = {
+  { 256, (const float64_t *)twiddleCoefF64_256, armBitRevIndexTableF64_256, ARMBITREVINDEXTABLEF64_256_TABLE_LENGTH },
+  512U,
+  (float64_t *)twiddleCoefF64_rfft_512
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_1024) && defined(ARM_TABLE_BITREVIDX_FLT64_1024) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_1024))
+const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len1024 = {
+  { 512, (const float64_t *)twiddleCoefF64_512, armBitRevIndexTableF64_512, ARMBITREVINDEXTABLEF64_512_TABLE_LENGTH },
+  1024U,
+  (float64_t *)twiddleCoefF64_rfft_1024
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_2048) && defined(ARM_TABLE_BITREVIDX_FLT64_2048) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_2048))
+const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len2048 = {
+  { 1024, (const float64_t *)twiddleCoefF64_1024, armBitRevIndexTableF64_1024, ARMBITREVINDEXTABLEF64_1024_TABLE_LENGTH },
+  2048U,
+  (float64_t *)twiddleCoefF64_rfft_2048
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_4096) && defined(ARM_TABLE_BITREVIDX_FLT64_4096) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_4096))
+const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len4096 = {
+  { 2048, (const float64_t *)twiddleCoefF64_2048, armBitRevIndexTableF64_2048, ARMBITREVINDEXTABLEF64_2048_TABLE_LENGTH },
+  4096U,
+  (float64_t *)twiddleCoefF64_rfft_4096
+};
+#endif
+
 /* Floating-point structs */
 
 #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_32) && defined(ARM_TABLE_BITREVIDX_FLT_32) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_32))
@@ -205,7 +326,7 @@
   32U,
   (float32_t *)twiddleCoef_rfft_32
 };
-#endif 
+#endif
 
 #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_64) && defined(ARM_TABLE_BITREVIDX_FLT_64) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_64))
 const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len64 = {
@@ -213,7 +334,7 @@
   64U,
   (float32_t *)twiddleCoef_rfft_64
 };
-#endif 
+#endif
 
 #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_128) && defined(ARM_TABLE_BITREVIDX_FLT_128) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_128))
 const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len128 = {
@@ -221,7 +342,7 @@
   128U,
   (float32_t *)twiddleCoef_rfft_128
 };
-#endif 
+#endif
 
 #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_256) && defined(ARM_TABLE_BITREVIDX_FLT_256) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_256))
 const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len256 = {
@@ -229,7 +350,7 @@
   256U,
   (float32_t *)twiddleCoef_rfft_256
 };
-#endif 
+#endif
 
 #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_512) && defined(ARM_TABLE_BITREVIDX_FLT_512) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_512))
 const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len512 = {
@@ -237,7 +358,7 @@
   512U,
   (float32_t *)twiddleCoef_rfft_512
 };
-#endif 
+#endif
 
 #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_1024) && defined(ARM_TABLE_BITREVIDX_FLT_1024) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_1024))
 const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len1024 = {
@@ -245,7 +366,7 @@
   1024U,
   (float32_t *)twiddleCoef_rfft_1024
 };
-#endif 
+#endif
 
 #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_2048) && defined(ARM_TABLE_BITREVIDX_FLT_2048) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_2048))
 const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len2048 = {
@@ -253,7 +374,7 @@
   2048U,
   (float32_t *)twiddleCoef_rfft_2048
 };
-#endif 
+#endif
 
 #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_4096) && defined(ARM_TABLE_BITREVIDX_FLT_4096) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_4096))
 const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len4096 = {
diff --git a/CMSIS/DSP/Source/TransformFunctions/CMakeLists.txt b/CMSIS/DSP/Source/TransformFunctions/CMakeLists.txt
index 47efca4..f29df7c 100644
--- a/CMSIS/DSP/Source/TransformFunctions/CMakeLists.txt
+++ b/CMSIS/DSP/Source/TransformFunctions/CMakeLists.txt
@@ -27,6 +27,11 @@
 target_sources(CMSISDSPTransform PRIVATE arm_cfft_f32.c)
 endif()
 
+if (NOT CONFIGTABLE OR ALLFFT OR CFFT_F64_16 OR CFFT_F64_32 OR CFFT_F64_64 OR CFFT_F64_128 OR CFFT_F64_256 OR CFFT_F64_512 
+    OR CFFT_F64_1024 OR CFFT_F64_2048 OR CFFT_F64_4096)
+target_sources(CMSISDSPTransform PRIVATE arm_cfft_f64.c)
+endif()
+
 if (NOT CONFIGTABLE OR ALLFFT OR CFFT_Q15_16 OR CFFT_Q15_32 OR CFFT_Q15_64 OR CFFT_Q15_128 OR CFFT_Q15_256 OR CFFT_Q15_512 
     OR CFFT_Q15_1024 OR CFFT_Q15_2048 OR CFFT_Q15_4096)
 target_sources(CMSISDSPTransform PRIVATE arm_cfft_radix2_q15.c)
@@ -87,6 +92,15 @@
 target_sources(CMSISDSPTransform PRIVATE arm_cfft_radix8_f32.c)
 endif()
 
+if (NOT CONFIGTABLE OR ALLFFT OR RFFT_FAST_F64_32 OR RFFT_FAST_F64_64 OR RFFT_FAST_F64_128
+   OR RFFT_FAST_F64_256 OR RFFT_FAST_F64_512 OR RFFT_FAST_F64_1024 OR RFFT_FAST_F64_2048
+   OR RFFT_FAST_F64_4096 )
+target_sources(CMSISDSPTransform PRIVATE arm_rfft_fast_f64.c)
+target_sources(CMSISDSPTransform PRIVATE arm_rfft_fast_init_f64.c)
+endif()
+
+
+
 if (NOT CONFIGTABLE OR ALLFFT OR RFFT_F32_128 OR RFFT_F32_512 OR RFFT_F32_2048 OR RFFT_F32_8192)
 target_sources(CMSISDSPTransform PRIVATE arm_rfft_init_f32.c)
 target_sources(CMSISDSPTransform PRIVATE arm_rfft_f32.c)
diff --git a/CMSIS/DSP/Source/TransformFunctions/arm_bitreversal2.c b/CMSIS/DSP/Source/TransformFunctions/arm_bitreversal2.c
index c5fe60f..802129d 100644
--- a/CMSIS/DSP/Source/TransformFunctions/arm_bitreversal2.c
+++ b/CMSIS/DSP/Source/TransformFunctions/arm_bitreversal2.c
@@ -29,6 +29,41 @@
 #include "arm_math.h"
 #include "arm_common_tables.h"
 
+
+/**
+  @brief         In-place 64 bit reversal function.
+  @param[in,out] pSrc        points to in-place buffer of unknown 64-bit data type
+  @param[in]     bitRevLen   bit reversal table length
+  @param[in]     pBitRevTab  points to bit reversal table
+  @return        none
+*/
+
+void arm_bitreversal_64(
+        uint64_t *pSrc,
+  const uint16_t bitRevLen,
+  const uint16_t *pBitRevTab)
+{
+  uint64_t a, b, i, tmp;
+
+  for (i = 0; i < bitRevLen; )
+  {
+     a = pBitRevTab[i    ] >> 2;
+     b = pBitRevTab[i + 1] >> 2;
+
+     //real
+     tmp = pSrc[a];
+     pSrc[a] = pSrc[b];
+     pSrc[b] = tmp;
+
+     //complex
+     tmp = pSrc[a+1];
+     pSrc[a+1] = pSrc[b+1];
+     pSrc[b+1] = tmp;
+
+    i += 2;
+  }
+}
+
 /**
   @brief         In-place 32 bit reversal function.
   @param[in,out] pSrc        points to in-place buffer of unknown 32-bit data type
@@ -38,8 +73,8 @@
 */
 
 void arm_bitreversal_32(
-        uint32_t *pSrc, 
-  const uint16_t bitRevLen, 
+        uint32_t *pSrc,
+  const uint16_t bitRevLen,
   const uint16_t *pBitRevTab)
 {
   uint32_t a, b, i, tmp;
@@ -73,8 +108,8 @@
 */
 
 void arm_bitreversal_16(
-        uint16_t *pSrc, 
-  const uint16_t bitRevLen, 
+        uint16_t *pSrc,
+  const uint16_t bitRevLen,
   const uint16_t *pBitRevTab)
 {
   uint16_t a, b, i, tmp;
diff --git a/CMSIS/DSP/Source/TransformFunctions/arm_cfft_f64.c b/CMSIS/DSP/Source/TransformFunctions/arm_cfft_f64.c
new file mode 100644
index 0000000..8c6d3e6
--- /dev/null
+++ b/CMSIS/DSP/Source/TransformFunctions/arm_cfft_f64.c
@@ -0,0 +1,318 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cfft_f64.c
+ * Description:  Combined Radix Decimation in Frequency CFFT Double Precision Floating point processing function
+ *
+ * $Date:        29. November 2019
+ * $Revision:    V1.0.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+
+extern void arm_radix4_butterfly_f64(
+        float64_t * pSrc,
+        uint16_t fftLen,
+  const float64_t * pCoef,
+        uint16_t twidCoefModifier);
+
+extern void arm_bitreversal_64(
+        uint64_t * pSrc,
+  const uint16_t   bitRevLen,
+  const uint16_t * pBitRevTable);
+
+/**
+* @} end of ComplexFFT group
+*/
+
+/* ----------------------------------------------------------------------
+ * Internal helper function used by the FFTs
+ * ---------------------------------------------------------------------- */
+
+/*
+* @brief  Core function for the Double Precision floating-point CFFT butterfly process.
+* @param[in, out] *pSrc            points to the in-place buffer of F64 data type.
+* @param[in]      fftLen           length of the FFT.
+* @param[in]      *pCoef           points to the twiddle coefficient buffer.
+* @param[in]      twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.
+* @return none.
+*/
+
+void arm_radix4_butterfly_f64(
+        float64_t * pSrc,
+        uint16_t fftLen,
+  const float64_t * pCoef,
+        uint16_t twidCoefModifier)
+{
+
+   float64_t co1, co2, co3, si1, si2, si3;
+   uint32_t ia1, ia2, ia3;
+   uint32_t i0, i1, i2, i3;
+   uint32_t n1, n2, j, k;
+
+   float64_t t1, t2, r1, r2, s1, s2;
+
+
+   /*  Initializations for the fft calculation */
+   n2 = fftLen;
+   n1 = n2;
+   for (k = fftLen; k > 1U; k >>= 2U)
+   {
+      /*  Initializations for the fft calculation */
+      n1 = n2;
+      n2 >>= 2U;
+      ia1 = 0U;
+
+      /*  FFT Calculation */
+      j = 0;
+      do
+      {
+         /*  index calculation for the coefficients */
+         ia2 = ia1 + ia1;
+         ia3 = ia2 + ia1;
+         co1 = pCoef[ia1 * 2U];
+         si1 = pCoef[(ia1 * 2U) + 1U];
+         co2 = pCoef[ia2 * 2U];
+         si2 = pCoef[(ia2 * 2U) + 1U];
+         co3 = pCoef[ia3 * 2U];
+         si3 = pCoef[(ia3 * 2U) + 1U];
+
+         /*  Twiddle coefficients index modifier */
+         ia1 = ia1 + twidCoefModifier;
+
+         i0 = j;
+         do
+         {
+            /*  index calculation for the input as, */
+            /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
+            i1 = i0 + n2;
+            i2 = i1 + n2;
+            i3 = i2 + n2;
+
+            /* xa + xc */
+            r1 = pSrc[(2U * i0)] + pSrc[(2U * i2)];
+
+            /* xa - xc */
+            r2 = pSrc[(2U * i0)] - pSrc[(2U * i2)];
+
+            /* ya + yc */
+            s1 = pSrc[(2U * i0) + 1U] + pSrc[(2U * i2) + 1U];
+
+            /* ya - yc */
+            s2 = pSrc[(2U * i0) + 1U] - pSrc[(2U * i2) + 1U];
+
+            /* xb + xd */
+            t1 = pSrc[2U * i1] + pSrc[2U * i3];
+
+            /* xa' = xa + xb + xc + xd */
+            pSrc[2U * i0] = r1 + t1;
+
+            /* xa + xc -(xb + xd) */
+            r1 = r1 - t1;
+
+            /* yb + yd */
+            t2 = pSrc[(2U * i1) + 1U] + pSrc[(2U * i3) + 1U];
+
+            /* ya' = ya + yb + yc + yd */
+            pSrc[(2U * i0) + 1U] = s1 + t2;
+
+            /* (ya + yc) - (yb + yd) */
+            s1 = s1 - t2;
+
+            /* (yb - yd) */
+            t1 = pSrc[(2U * i1) + 1U] - pSrc[(2U * i3) + 1U];
+
+            /* (xb - xd) */
+            t2 = pSrc[2U * i1] - pSrc[2U * i3];
+
+            /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
+            pSrc[2U * i1] = (r1 * co2) + (s1 * si2);
+
+            /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
+            pSrc[(2U * i1) + 1U] = (s1 * co2) - (r1 * si2);
+
+            /* (xa - xc) + (yb - yd) */
+            r1 = r2 + t1;
+
+            /* (xa - xc) - (yb - yd) */
+            r2 = r2 - t1;
+
+            /* (ya - yc) -  (xb - xd) */
+            s1 = s2 - t2;
+
+            /* (ya - yc) +  (xb - xd) */
+            s2 = s2 + t2;
+
+            /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
+            pSrc[2U * i2] = (r1 * co1) + (s1 * si1);
+
+            /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
+            pSrc[(2U * i2) + 1U] = (s1 * co1) - (r1 * si1);
+
+            /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
+            pSrc[2U * i3] = (r2 * co3) + (s2 * si3);
+
+            /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
+            pSrc[(2U * i3) + 1U] = (s2 * co3) - (r2 * si3);
+
+            i0 += n1;
+         } while ( i0 < fftLen);
+         j++;
+      } while (j <= (n2 - 1U));
+      twidCoefModifier <<= 2U;
+   }
+}
+
+/*
+* @brief  Core function for the Double Precision floating-point CFFT butterfly process.
+* @param[in, out] *pSrc            points to the in-place buffer of F64 data type.
+* @param[in]      fftLen           length of the FFT.
+* @param[in]      *pCoef           points to the twiddle coefficient buffer.
+* @param[in]      twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.
+* @return none.
+*/
+
+void arm_cfft_radix4by2_f64(
+    float64_t * pSrc,
+    uint32_t fftLen,
+    const float64_t * pCoef)
+{
+    uint32_t i, l;
+    uint32_t n2, ia;
+    float64_t xt, yt, cosVal, sinVal;
+    float64_t p0, p1,p2,p3,a0,a1;
+
+    n2 = fftLen >> 1;
+    ia = 0;
+    for (i = 0; i < n2; i++)
+    {
+        cosVal = pCoef[2*ia];
+        sinVal = pCoef[2*ia + 1];
+        ia++;
+
+        l = i + n2;
+
+        /*  Butterfly implementation */
+        a0 = pSrc[2 * i] + pSrc[2 * l];
+        xt = pSrc[2 * i] - pSrc[2 * l];
+
+        yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+        a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
+
+        p0 = xt * cosVal;
+        p1 = yt * sinVal;
+        p2 = yt * cosVal;
+        p3 = xt * sinVal;
+
+        pSrc[2 * i]     = a0;
+        pSrc[2 * i + 1] = a1;
+
+        pSrc[2 * l]     = p0 + p1;
+        pSrc[2 * l + 1] = p2 - p3;
+
+    }
+
+    // first col
+    arm_radix4_butterfly_f64( pSrc, n2, (float64_t*)pCoef, 2U);
+    // second col
+    arm_radix4_butterfly_f64( pSrc + fftLen, n2, (float64_t*)pCoef, 2U);
+
+}
+
+/**
+  @addtogroup ComplexFFT
+  @{
+ */
+
+/**
+  @brief         Processing function for the Double Precision floating-point complex FFT.
+  @param[in]     S              points to an instance of the Double Precision floating-point CFFT structure
+  @param[in,out] p1             points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place
+  @param[in]     ifftFlag       flag that selects transform direction
+                   - value = 0: forward transform
+                   - value = 1: inverse transform
+  @param[in]     bitReverseFlag flag that enables / disables bit reversal of output
+                   - value = 0: disables bit reversal of output
+                   - value = 1: enables bit reversal of output
+  @return        none
+ */
+
+void arm_cfft_f64(
+  const arm_cfft_instance_f64 * S,
+        float64_t * p1,
+        uint8_t ifftFlag,
+        uint8_t bitReverseFlag)
+{
+    uint32_t  L = S->fftLen, l;
+    float64_t invL, * pSrc;
+
+    if (ifftFlag == 1U)
+    {
+        /*  Conjugate input data  */
+        pSrc = p1 + 1;
+        for(l=0; l<L; l++)
+        {
+            *pSrc = -*pSrc;
+            pSrc += 2;
+        }
+    }
+
+    switch (L)
+    {
+        case 16:
+        case 64:
+        case 256:
+        case 1024:
+        case 4096:
+        arm_radix4_butterfly_f64  (p1, L, (float64_t*)S->pTwiddle, 1U);
+        break;
+
+        case 32:
+        case 128:
+        case 512:
+        case 2048:
+        arm_cfft_radix4by2_f64  ( p1, L, (float64_t*)S->pTwiddle);
+        break;
+
+    }
+
+    if ( bitReverseFlag )
+        arm_bitreversal_64((uint64_t*)p1, S->bitRevLength,S->pBitRevTable);
+
+    if (ifftFlag == 1U)
+    {
+        invL = 1.0 / (float64_t)L;
+        /*  Conjugate and scale output data */
+        pSrc = p1;
+        for(l=0; l<L; l++)
+        {
+            *pSrc++ *=   invL ;
+            *pSrc  = -(*pSrc) * invL;
+            pSrc++;
+        }
+    }
+}
+
+/**
+  @} end of ComplexFFT group
+ */
diff --git a/CMSIS/DSP/Source/TransformFunctions/arm_rfft_fast_f64.c b/CMSIS/DSP/Source/TransformFunctions/arm_rfft_fast_f64.c
new file mode 100755
index 0000000..16a7a03
--- /dev/null
+++ b/CMSIS/DSP/Source/TransformFunctions/arm_rfft_fast_f64.c
@@ -0,0 +1,228 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_rfft_f64.c
+ * Description:  RFFT & RIFFT Double precision Floating point process function
+ *
+ * $Date:        29. November 2019
+ * $Revision:    V1.0.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+void stage_rfft_f64(
+  const arm_rfft_fast_instance_f64 * S,
+        float64_t * p,
+        float64_t * pOut)
+{
+        uint32_t  k;                                /* Loop Counter */
+        float64_t twR, twI;                         /* RFFT Twiddle coefficients */
+  const float64_t * pCoeff = S->pTwiddleRFFT;       /* Points to RFFT Twiddle factors */
+        float64_t *pA = p;                          /* increasing pointer */
+        float64_t *pB = p;                          /* decreasing pointer */
+        float64_t xAR, xAI, xBR, xBI;               /* temporary variables */
+        float64_t t1a, t1b;                         /* temporary variables */
+        float64_t p0, p1, p2, p3;                   /* temporary variables */
+
+
+   k = (S->Sint).fftLen - 1;
+
+   /* Pack first and last sample of the frequency domain together */
+
+   xBR = pB[0];
+   xBI = pB[1];
+   xAR = pA[0];
+   xAI = pA[1];
+
+   twR = *pCoeff++ ;
+   twI = *pCoeff++ ;
+
+   // U1 = XA(1) + XB(1); % It is real
+   t1a = xBR + xAR  ;
+
+   // U2 = XB(1) - XA(1); % It is imaginary
+   t1b = xBI + xAI  ;
+
+   // real(tw * (xB - xA)) = twR * (xBR - xAR) - twI * (xBI - xAI);
+   // imag(tw * (xB - xA)) = twI * (xBR - xAR) + twR * (xBI - xAI);
+   *pOut++ = 0.5 * ( t1a + t1b );
+   *pOut++ = 0.5 * ( t1a - t1b );
+
+   // XA(1) = 1/2*( U1 - imag(U2) +  i*( U1 +imag(U2) ));
+   pB  = p + 2*k;
+   pA += 2;
+
+   do
+   {
+      /*
+         function X = my_split_rfft(X, ifftFlag)
+         % X is a series of real numbers
+         L  = length(X);
+         XC = X(1:2:end) +i*X(2:2:end);
+         XA = fft(XC);
+         XB = conj(XA([1 end:-1:2]));
+         TW = i*exp(-2*pi*i*[0:L/2-1]/L).';
+         for l = 2:L/2
+            XA(l) = 1/2 * (XA(l) + XB(l) + TW(l) * (XB(l) - XA(l)));
+         end
+         XA(1) = 1/2* (XA(1) + XB(1) + TW(1) * (XB(1) - XA(1))) + i*( 1/2*( XA(1) + XB(1) + i*( XA(1) - XB(1))));
+         X = XA;
+      */
+
+      xBI = pB[1];
+      xBR = pB[0];
+      xAR = pA[0];
+      xAI = pA[1];
+
+      twR = *pCoeff++;
+      twI = *pCoeff++;
+
+      t1a = xBR - xAR ;
+      t1b = xBI + xAI ;
+
+      // real(tw * (xB - xA)) = twR * (xBR - xAR) - twI * (xBI - xAI);
+      // imag(tw * (xB - xA)) = twI * (xBR - xAR) + twR * (xBI - xAI);
+      p0 = twR * t1a;
+      p1 = twI * t1a;
+      p2 = twR * t1b;
+      p3 = twI * t1b;
+
+      *pOut++ = 0.5 * (xAR + xBR + p0 + p3 ); //xAR
+      *pOut++ = 0.5 * (xAI - xBI + p1 - p2 ); //xAI
+
+      pA += 2;
+      pB -= 2;
+      k--;
+   } while (k > 0U);
+}
+
+/* Prepares data for inverse cfft */
+void merge_rfft_f64(
+  const arm_rfft_fast_instance_f64 * S,
+        float64_t * p,
+        float64_t * pOut)
+{
+        uint32_t  k;                                /* Loop Counter */
+        float64_t twR, twI;                         /* RFFT Twiddle coefficients */
+  const float64_t *pCoeff = S->pTwiddleRFFT;        /* Points to RFFT Twiddle factors */
+        float64_t *pA = p;                          /* increasing pointer */
+        float64_t *pB = p;                          /* decreasing pointer */
+        float64_t xAR, xAI, xBR, xBI;               /* temporary variables */
+        float64_t t1a, t1b, r, s, t, u;             /* temporary variables */
+
+   k = (S->Sint).fftLen - 1;
+
+   xAR = pA[0];
+   xAI = pA[1];
+
+   pCoeff += 2 ;
+
+   *pOut++ = 0.5 * ( xAR + xAI );
+   *pOut++ = 0.5 * ( xAR - xAI );
+
+   pB  =  p + 2*k ;
+   pA +=  2	   ;
+
+   while (k > 0U)
+   {
+      /* G is half of the frequency complex spectrum */
+      //for k = 2:N
+      //    Xk(k) = 1/2 * (G(k) + conj(G(N-k+2)) + Tw(k)*( G(k) - conj(G(N-k+2))));
+      xBI =   pB[1]    ;
+      xBR =   pB[0]    ;
+      xAR =  pA[0];
+      xAI =  pA[1];
+
+      twR = *pCoeff++;
+      twI = *pCoeff++;
+
+      t1a = xAR - xBR ;
+      t1b = xAI + xBI ;
+
+      r = twR * t1a;
+      s = twI * t1b;
+      t = twI * t1a;
+      u = twR * t1b;
+
+      // real(tw * (xA - xB)) = twR * (xAR - xBR) - twI * (xAI - xBI);
+      // imag(tw * (xA - xB)) = twI * (xAR - xBR) + twR * (xAI - xBI);
+      *pOut++ = 0.5 * (xAR + xBR - r - s ); //xAR
+      *pOut++ = 0.5 * (xAI - xBI + t - u ); //xAI
+
+      pA += 2;
+      pB -= 2;
+      k--;
+   }
+
+}
+
+/**
+  @ingroup groupTransforms
+*/
+
+
+/**
+  @addtogroup RealFFT
+  @{
+*/
+
+/**
+  @brief         Processing function for the Double Precision floating-point real FFT.
+  @param[in]     S         points to an arm_rfft_fast_instance_f64 structure
+  @param[in]     p         points to input buffer (Source buffer is modified by this function.)
+  @param[in]     pOut      points to output buffer
+  @param[in]     ifftFlag
+                   - value = 0: RFFT
+                   - value = 1: RIFFT
+  @return        none
+*/
+
+void arm_rfft_fast_f64(
+  arm_rfft_fast_instance_f64 * S,
+  float64_t * p,
+  float64_t * pOut,
+  uint8_t ifftFlag)
+{
+   arm_cfft_instance_f64 * Sint = &(S->Sint);
+   Sint->fftLen = S->fftLenRFFT / 2;
+
+   /* Calculation of Real FFT */
+   if (ifftFlag)
+   {
+      /*  Real FFT compression */
+      merge_rfft_f64(S, p, pOut);
+
+      /* Complex radix-4 IFFT process */
+      arm_cfft_f64( Sint, pOut, ifftFlag, 1);
+   }
+   else
+   {
+      /* Calculation of RFFT of input */
+      arm_cfft_f64( Sint, p, ifftFlag, 1);
+
+      /*  Real FFT extraction */
+      stage_rfft_f64(S, p, pOut);
+   }
+}
+
+/**
+* @} end of RealFFT group
+*/
diff --git a/CMSIS/DSP/Source/TransformFunctions/arm_rfft_fast_init_f64.c b/CMSIS/DSP/Source/TransformFunctions/arm_rfft_fast_init_f64.c
new file mode 100755
index 0000000..84b6fab
--- /dev/null
+++ b/CMSIS/DSP/Source/TransformFunctions/arm_rfft_fast_init_f64.c
@@ -0,0 +1,344 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cfft_init_f64.c
+ * Description:  Split Radix Decimation in Frequency CFFT Double Precision Floating point processing function
+ *
+ * $Date:        29. November 2019
+ * $Revision:    V1.0.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+  @ingroup groupTransforms
+ */
+
+/**
+  @addtogroup RealFFT
+  @{
+ */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_16) && defined(ARM_TABLE_BITREVIDX_FLT64_16) && defined(ARM_TABLE_TWIDDLECOEF_F64_16) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_32))
+
+/**
+  @brief         Initialization function for the 32pt double precision floating-point real FFT.
+  @param[in,out] S  points to an arm_rfft_fast_instance_f64 structure
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected
+ */
+
+arm_status arm_rfft_32_fast_init_f64( arm_rfft_fast_instance_f64 * S ) {
+
+  arm_cfft_instance_f64 * Sint;
+
+  if( !S ) return ARM_MATH_ARGUMENT_ERROR;
+
+  Sint = &(S->Sint);
+  Sint->fftLen = 16U;
+  S->fftLenRFFT = 32U;
+
+  Sint->bitRevLength = ARMBITREVINDEXTABLEF64_16_TABLE_LENGTH;
+  Sint->pBitRevTable = (uint16_t *)armBitRevIndexTableF64_16;
+  Sint->pTwiddle     = (float64_t *) twiddleCoefF64_16;
+  S->pTwiddleRFFT    = (float64_t *) twiddleCoefF64_rfft_32;
+
+  return ARM_MATH_SUCCESS;
+}
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_32) && defined(ARM_TABLE_BITREVIDX_FLT64_32) && defined(ARM_TABLE_TWIDDLECOEF_F64_32) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_64))
+
+/**
+  @brief         Initialization function for the 64pt Double Precision floating-point real FFT.
+  @param[in,out] S  points to an arm_rfft_fast_instance_f64 structure
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected
+ */
+
+arm_status arm_rfft_64_fast_init_f64( arm_rfft_fast_instance_f64 * S ) {
+
+  arm_cfft_instance_f64 * Sint;
+
+  if( !S ) return ARM_MATH_ARGUMENT_ERROR;
+
+  Sint = &(S->Sint);
+  Sint->fftLen = 32U;
+  S->fftLenRFFT = 64U;
+
+  Sint->bitRevLength = ARMBITREVINDEXTABLEF64_32_TABLE_LENGTH;
+  Sint->pBitRevTable = (uint16_t *)armBitRevIndexTableF64_32;
+  Sint->pTwiddle     = (float64_t *) twiddleCoefF64_32;
+  S->pTwiddleRFFT    = (float64_t *) twiddleCoefF64_rfft_64;
+
+  return ARM_MATH_SUCCESS;
+}
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_64) && defined(ARM_TABLE_BITREVIDX_FLT64_64) && defined(ARM_TABLE_TWIDDLECOEF_F64_64) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_128))
+
+/**
+  @brief         Initialization function for the 128pt Double Precision floating-point real FFT.
+  @param[in,out] S  points to an arm_rfft_fast_instance_f64 structure
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected
+ */
+
+arm_status arm_rfft_128_fast_init_f64( arm_rfft_fast_instance_f64 * S ) {
+
+  arm_cfft_instance_f64 * Sint;
+
+  if( !S ) return ARM_MATH_ARGUMENT_ERROR;
+
+  Sint = &(S->Sint);
+  Sint->fftLen = 64U;
+  S->fftLenRFFT = 128U;
+
+  Sint->bitRevLength = ARMBITREVINDEXTABLEF64_64_TABLE_LENGTH;
+  Sint->pBitRevTable = (uint16_t *)armBitRevIndexTableF64_64;
+  Sint->pTwiddle     = (float64_t *) twiddleCoefF64_64;
+  S->pTwiddleRFFT    = (float64_t *) twiddleCoefF64_rfft_128;
+
+  return ARM_MATH_SUCCESS;
+}
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_128) && defined(ARM_TABLE_BITREVIDX_FLT64_128) && defined(ARM_TABLE_TWIDDLECOEF_F64_128) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_256))
+
+/**
+  @brief         Initialization function for the 256pt Double Precision floating-point real FFT.
+  @param[in,out] S  points to an arm_rfft_fast_instance_f64 structure
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected
+*/
+
+arm_status arm_rfft_256_fast_init_f64( arm_rfft_fast_instance_f64 * S ) {
+
+  arm_cfft_instance_f64 * Sint;
+
+  if( !S ) return ARM_MATH_ARGUMENT_ERROR;
+
+  Sint = &(S->Sint);
+  Sint->fftLen = 128U;
+  S->fftLenRFFT = 256U;
+
+  Sint->bitRevLength = ARMBITREVINDEXTABLEF64_128_TABLE_LENGTH;
+  Sint->pBitRevTable = (uint16_t *)armBitRevIndexTableF64_128;
+  Sint->pTwiddle     = (float64_t *) twiddleCoefF64_128;
+  S->pTwiddleRFFT    = (float64_t *) twiddleCoefF64_rfft_256;
+
+  return ARM_MATH_SUCCESS;
+}
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_256) && defined(ARM_TABLE_BITREVIDX_FLT64_256) && defined(ARM_TABLE_TWIDDLECOEF_F64_256) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_512))
+
+/**
+  @brief         Initialization function for the 512pt Double Precision floating-point real FFT.
+  @param[in,out] S  points to an arm_rfft_fast_instance_f64 structure
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected
+ */
+
+arm_status arm_rfft_512_fast_init_f64( arm_rfft_fast_instance_f64 * S ) {
+
+  arm_cfft_instance_f64 * Sint;
+
+  if( !S ) return ARM_MATH_ARGUMENT_ERROR;
+
+  Sint = &(S->Sint);
+  Sint->fftLen = 256U;
+  S->fftLenRFFT = 512U;
+
+  Sint->bitRevLength = ARMBITREVINDEXTABLEF64_256_TABLE_LENGTH;
+  Sint->pBitRevTable = (uint16_t *)armBitRevIndexTableF64_256;
+  Sint->pTwiddle     = (float64_t *) twiddleCoefF64_256;
+  S->pTwiddleRFFT    = (float64_t *) twiddleCoefF64_rfft_512;
+
+  return ARM_MATH_SUCCESS;
+}
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_512) && defined(ARM_TABLE_BITREVIDX_FLT64_512) && defined(ARM_TABLE_TWIDDLECOEF_F64_512) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_1024))
+/**
+  @brief         Initialization function for the 1024pt Double Precision floating-point real FFT.
+  @param[in,out] S  points to an arm_rfft_fast_instance_f64 structure
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected
+ */
+
+arm_status arm_rfft_1024_fast_init_f64( arm_rfft_fast_instance_f64 * S ) {
+
+  arm_cfft_instance_f64 * Sint;
+
+  if( !S ) return ARM_MATH_ARGUMENT_ERROR;
+
+  Sint = &(S->Sint);
+  Sint->fftLen = 512U;
+  S->fftLenRFFT = 1024U;
+
+  Sint->bitRevLength = ARMBITREVINDEXTABLEF64_512_TABLE_LENGTH;
+  Sint->pBitRevTable = (uint16_t *)armBitRevIndexTableF64_512;
+  Sint->pTwiddle     = (float64_t *) twiddleCoefF64_512;
+  S->pTwiddleRFFT    = (float64_t *) twiddleCoefF64_rfft_1024;
+
+  return ARM_MATH_SUCCESS;
+}
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_1024) && defined(ARM_TABLE_BITREVIDX_FLT64_1024) && defined(ARM_TABLE_TWIDDLECOEF_F64_1024) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_2048))
+/**
+  @brief         Initialization function for the 2048pt Double Precision floating-point real FFT.
+  @param[in,out] S  points to an arm_rfft_fast_instance_f64 structure
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected
+ */
+arm_status arm_rfft_2048_fast_init_f64( arm_rfft_fast_instance_f64 * S ) {
+
+  arm_cfft_instance_f64 * Sint;
+
+  if( !S ) return ARM_MATH_ARGUMENT_ERROR;
+
+  Sint = &(S->Sint);
+  Sint->fftLen = 1024U;
+  S->fftLenRFFT = 2048U;
+
+  Sint->bitRevLength = ARMBITREVINDEXTABLEF64_1024_TABLE_LENGTH;
+  Sint->pBitRevTable = (uint16_t *)armBitRevIndexTableF64_1024;
+  Sint->pTwiddle     = (float64_t *) twiddleCoefF64_1024;
+  S->pTwiddleRFFT    = (float64_t *) twiddleCoefF64_rfft_2048;
+
+  return ARM_MATH_SUCCESS;
+}
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_2048) && defined(ARM_TABLE_BITREVIDX_FLT64_2048) && defined(ARM_TABLE_TWIDDLECOEF_F64_2048) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_4096))
+/**
+* @brief         Initialization function for the 4096pt Double Precision floating-point real FFT.
+* @param[in,out] S  points to an arm_rfft_fast_instance_f64 structure
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected
+ */
+
+arm_status arm_rfft_4096_fast_init_f64( arm_rfft_fast_instance_f64 * S ) {
+
+  arm_cfft_instance_f64 * Sint;
+
+  if( !S ) return ARM_MATH_ARGUMENT_ERROR;
+
+  Sint = &(S->Sint);
+  Sint->fftLen = 2048U;
+  S->fftLenRFFT = 4096U;
+
+  Sint->bitRevLength = ARMBITREVINDEXTABLEF64_2048_TABLE_LENGTH;
+  Sint->pBitRevTable = (uint16_t *)armBitRevIndexTableF64_2048;
+  Sint->pTwiddle     = (float64_t *) twiddleCoefF64_2048;
+  S->pTwiddleRFFT    = (float64_t *) twiddleCoefF64_rfft_4096;
+
+  return ARM_MATH_SUCCESS;
+}
+#endif
+
+/**
+  @brief         Initialization function for the Double Precision floating-point real FFT.
+  @param[in,out] S       points to an arm_rfft_fast_instance_f64 structure
+  @param[in]     fftLen  length of the Real Sequence
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : <code>fftLen</code> is not a supported length
+
+  @par           Description
+                   The parameter <code>fftLen</code> specifies the length of RFFT/CIFFT process.
+                   Supported FFT Lengths are 32, 64, 128, 256, 512, 1024, 2048, 4096.
+  @par
+                   This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.
+ */
+
+arm_status arm_rfft_fast_init_f64(
+  arm_rfft_fast_instance_f64 * S,
+  uint16_t fftLen)
+{
+  typedef arm_status(*fft_init_ptr)( arm_rfft_fast_instance_f64 *);
+  fft_init_ptr fptr = 0x0;
+
+  switch (fftLen)
+  {
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_2048) && defined(ARM_TABLE_BITREVIDX_FLT64_2048) && defined(ARM_TABLE_TWIDDLECOEF_F64_2048) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_4096))
+  case 4096U:
+    fptr = arm_rfft_4096_fast_init_f64;
+    break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_1024) && defined(ARM_TABLE_BITREVIDX_FLT64_1024) && defined(ARM_TABLE_TWIDDLECOEF_F64_1024) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_2048))
+  case 2048U:
+    fptr = arm_rfft_2048_fast_init_f64;
+    break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_512) && defined(ARM_TABLE_BITREVIDX_FLT64_512) && defined(ARM_TABLE_TWIDDLECOEF_F64_512) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_1024))
+  case 1024U:
+    fptr = arm_rfft_1024_fast_init_f64;
+    break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_256) && defined(ARM_TABLE_BITREVIDX_FLT64_256) && defined(ARM_TABLE_TWIDDLECOEF_F64_256) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_512))
+  case 512U:
+    fptr = arm_rfft_512_fast_init_f64;
+    break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_128) && defined(ARM_TABLE_BITREVIDX_FLT64_128) && defined(ARM_TABLE_TWIDDLECOEF_F64_128) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_256))
+  case 256U:
+    fptr = arm_rfft_256_fast_init_f64;
+    break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_64) && defined(ARM_TABLE_BITREVIDX_FLT64_64) && defined(ARM_TABLE_TWIDDLECOEF_F64_64) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_128))
+  case 128U:
+    fptr = arm_rfft_128_fast_init_f64;
+    break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_32) && defined(ARM_TABLE_BITREVIDX_FLT64_32) && defined(ARM_TABLE_TWIDDLECOEF_F64_32) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_64))
+  case 64U:
+    fptr = arm_rfft_64_fast_init_f64;
+    break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_16) && defined(ARM_TABLE_BITREVIDX_FLT64_16) && defined(ARM_TABLE_TWIDDLECOEF_F64_16) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_32))
+  case 32U:
+    fptr = arm_rfft_32_fast_init_f64;
+    break;
+#endif
+  default:
+    return ARM_MATH_ARGUMENT_ERROR;
+  }
+
+  if( ! fptr ) return ARM_MATH_ARGUMENT_ERROR;
+  return fptr( S );
+
+}
+
+/**
+  @} end of RealFFT group
+ */
diff --git a/CMSIS/DSP/Source/fft.cmake b/CMSIS/DSP/Source/fft.cmake
index cbf7fac..b4df288 100644
--- a/CMSIS/DSP/Source/fft.cmake
+++ b/CMSIS/DSP/Source/fft.cmake
@@ -50,6 +50,58 @@
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_4096)
 endif()
 
+
+#######################################
+#
+# CFFT F64
+#
+
+
+if (CONFIGTABLE AND CFFT_F64_16)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_16)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_16)
+endif()
+
+if (CONFIGTABLE AND CFFT_F64_32)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_32)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_64)
+endif()
+
+if (CONFIGTABLE AND CFFT_F64_64)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_64)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_64)
+endif()
+
+if (CONFIGTABLE AND CFFT_F64_128)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_128)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_128)
+endif()
+
+if (CONFIGTABLE AND CFFT_F64_256)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_256)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_256)
+endif()
+
+if (CONFIGTABLE AND CFFT_F64_512)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_512)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_512)
+endif()
+
+if (CONFIGTABLE AND CFFT_F64_1024)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_1024)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_1024)
+endif()
+
+if (CONFIGTABLE AND CFFT_F64_2048)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_2048)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_2048)
+endif()
+
+if (CONFIGTABLE AND CFFT_F64_4096)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_4096)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_4096)
+endif()
+
 #######################################
 #
 # CFFT Q31
@@ -152,63 +204,124 @@
 
 #######################################
 #
+# RFFT FAST F64
+#
+
+if (CONFIGTABLE AND RFFT_FAST_F64_32)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_16)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_16)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F64_32)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_16)
+endif()
+
+if (CONFIGTABLE AND RFFT_FAST_F64_64)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_32)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_32)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F64_64)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_32)
+endif()
+
+if (CONFIGTABLE AND RFFT_FAST_F64_128)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_64)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_64)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F64_128)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_64)
+endif()
+
+if (CONFIGTABLE AND RFFT_FAST_F64_256)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_128)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_128)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F64_256)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_128)
+endif()
+
+if (CONFIGTABLE AND RFFT_FAST_F64_512)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_256)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_256)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F64_512)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_256)
+endif()
+
+if (CONFIGTABLE AND RFFT_FAST_F64_1024)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_512)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_512)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F64_1024)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_512)
+endif()
+
+if (CONFIGTABLE AND RFFT_FAST_F64_2048)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_1024)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_1024)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F64_2048)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_1024)
+endif()
+
+if (CONFIGTABLE AND RFFT_FAST_F64_4096)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_2048)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_2048)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F64_4096)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_2048)
+endif()
+
+#######################################
+#
 # RFFT FAST F32
 #
 
 if (CONFIGTABLE AND RFFT_FAST_F32_32)
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_16) 
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_16) 
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F32_32) 
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_16)  
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_16)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_16)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F32_32)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_16)
 endif()
 
 if (CONFIGTABLE AND RFFT_FAST_F32_64)
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_32) 
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_32) 
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F32_64) 
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_32)  
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_32)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_32)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F32_64)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_32)
 endif()
 
 if (CONFIGTABLE AND RFFT_FAST_F32_128)
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_64) 
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_64) 
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F32_128) 
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_64) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_64)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_64)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F32_128)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_64)
 endif()
 
 if (CONFIGTABLE AND RFFT_FAST_F32_256)
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_128) 
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_128) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_128)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_128)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F32_256)
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_128) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_128)
 endif()
 
 if (CONFIGTABLE AND RFFT_FAST_F32_512)
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_256) 
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_256) 
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F32_512) 
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_256) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_256)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_256)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F32_512)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_256)
 endif()
 
 if (CONFIGTABLE AND RFFT_FAST_F32_1024)
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_512) 
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_512) 
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F32_1024) 
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_512) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_512)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_512)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F32_1024)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_512)
 endif()
 
 if (CONFIGTABLE AND RFFT_FAST_F32_2048)
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_1024) 
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_1024) 
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F32_2048) 
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_1024) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_1024)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_1024)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F32_2048)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_1024)
 endif()
 
 if (CONFIGTABLE AND RFFT_FAST_F32_4096)
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_2048) 
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_2048) 
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F32_4096) 
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_2048) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_2048)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_2048)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F32_4096)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_2048)
 endif()
 
 #######################################
@@ -217,66 +330,66 @@
 #
 
 if (CONFIGTABLE AND RFFT_F32_32)
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32)
     # For cfft_radix4_init
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024) 
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096)
 endif()
 
 if (CONFIGTABLE AND RFFT_F32_64)
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32)
     # For cfft_radix4_init
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024) 
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096)
 endif()
 
 if (CONFIGTABLE AND RFFT_F32_128)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32)
     # For cfft_radix4_init
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024) 
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096)  
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096)
 endif()
 
 if (CONFIGTABLE AND RFFT_F32_256)
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32)
     # For cfft_radix4_init
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024) 
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096)
 endif()
 
 if (CONFIGTABLE AND RFFT_F32_512)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32)
     # For cfft_radix4_init
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024) 
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096)  
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096)
 endif()
 
 if (CONFIGTABLE AND RFFT_F32_1024)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32)
     # For cfft_radix4_init
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024) 
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096)  
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096)
 endif()
 
 if (CONFIGTABLE AND RFFT_F32_2048)
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32)
     # For cfft_radix4_init
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024) 
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096)
 endif()
 
 if (CONFIGTABLE AND RFFT_F32_4096)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32)
     # For cfft_radix4_init
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024) 
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096)  
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096)
 endif()
 
 if (CONFIGTABLE AND RFFT_F32_8192)
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32)
     # For cfft_radix4_init
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024) 
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096)
 endif()
 
 #######################################
@@ -285,55 +398,55 @@
 #
 
 if (CONFIGTABLE AND RFFT_Q31_32)
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_16)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_16)
 endif()
 
 if (CONFIGTABLE AND RFFT_Q31_64)
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_32)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_32)
 endif()
 
 if (CONFIGTABLE AND RFFT_Q31_128)
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_64)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_64)
 endif()
 
 if (CONFIGTABLE AND RFFT_Q31_256)
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_128)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_128)
 endif()
 
 if (CONFIGTABLE AND RFFT_Q31_512)
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_256)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_256)
 endif()
 
 if (CONFIGTABLE AND RFFT_Q31_1024)
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_512)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_512)
 endif()
 
 if (CONFIGTABLE AND RFFT_Q31_2048)
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_1024)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_1024)
 endif()
 
 if (CONFIGTABLE AND RFFT_Q31_4096)
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_2048)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_2048)
 endif()
 
 if (CONFIGTABLE AND RFFT_Q31_8192)
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_4096)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_4096)
 endif()
@@ -346,35 +459,35 @@
 if (CONFIGTABLE AND RFFT_Q15_32)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_16)
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_16) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_16)
 endif()
 
 if (CONFIGTABLE AND RFFT_Q15_64)
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_32)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_32)
 endif()
 
 if (CONFIGTABLE AND RFFT_Q15_128)
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_64)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_64)
 endif()
 
 if (CONFIGTABLE AND RFFT_Q15_256)
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_128)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_128)
 endif()
 
 if (CONFIGTABLE AND RFFT_Q15_512)
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_256)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_256)
 endif()
 
 if (CONFIGTABLE AND RFFT_Q15_1024)
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_512)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_512)
 endif()
@@ -382,17 +495,17 @@
 if (CONFIGTABLE AND RFFT_Q15_2048)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_1024)
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_1024) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_1024)
 endif()
 
 if (CONFIGTABLE AND RFFT_Q15_4096)
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_2048)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_2048)
 endif()
 
 if (CONFIGTABLE AND RFFT_Q15_8192)
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_4096)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_4096)
 endif()
@@ -403,38 +516,38 @@
 #
 
 if (CONFIGTABLE AND DCT4_F32_128)
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_DCT4_F32_128) 
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_DCT4_F32_128)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32)
 
     # For cfft_radix4_init
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096)
 endif()
 
 if (CONFIGTABLE AND DCT4_F32_512)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_DCT4_F32_512)
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32)
 
     # For cfft_radix4_init
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024) 
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096)
 endif()
 
 if (CONFIGTABLE AND DCT4_F32_2048)
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_DCT4_F32_2048) 
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_DCT4_F32_2048)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32)
 
     # For cfft_radix4_init
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096)
 endif()
 
 if (CONFIGTABLE AND DCT4_F32_8192)
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_DCT4_F32_8192) 
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_DCT4_F32_8192)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32)
 
     # For cfft_radix4_init
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096)
 endif()
 
@@ -444,39 +557,39 @@
 #
 
 if (CONFIGTABLE AND DCT4_Q31_128)
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_DCT4_Q31_128) 
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_DCT4_Q31_128)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31)
 
     # For cfft_radix4_init
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_4096)
 endif()
 
-if (CONFIGTABLE AND DCT4_Q31_512) 
+if (CONFIGTABLE AND DCT4_Q31_512)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_DCT4_Q31_512)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31)
 
     # For cfft_radix4_init
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024) 
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_4096)  
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_4096)
 endif()
 
 if (CONFIGTABLE AND DCT4_Q31_2048)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_DCT4_Q31_2048)
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31)
 
     # For cfft_radix4_init
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_4096)
 endif()
 
 if (CONFIGTABLE AND DCT4_Q31_8192)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_DCT4_Q31_8192)
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31)
 
     # For cfft_radix4_init
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024) 
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_4096) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_4096)
 endif()
 
 #######################################
@@ -484,39 +597,39 @@
 # DCT4 Q15
 #
 
-if (CONFIGTABLE AND DCT4_Q15_128) 
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_DCT4_Q15_128) 
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15) 
+if (CONFIGTABLE AND DCT4_Q15_128)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_DCT4_Q15_128)
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15)
 
     # For cfft_radix4_init
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_4096)
 endif()
 
-if (CONFIGTABLE AND DCT4_Q15_512) 
+if (CONFIGTABLE AND DCT4_Q15_512)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_DCT4_Q15_512)
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15)
 
     # For cfft_radix4_init
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_4096)
 endif()
 
 if (CONFIGTABLE AND DCT4_Q15_2048)
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_DCT4_Q15_2048) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_DCT4_Q15_2048)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15)
 
     # For cfft_radix4_init
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_4096)
 endif()
 
 if (CONFIGTABLE AND DCT4_Q15_8192)
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_DCT4_Q15_8192) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_DCT4_Q15_8192)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15)
 
     # For cfft_radix4_init
-    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024) 
+    target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024)
     target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_4096)
 endif()
 
diff --git a/CMSIS/DSP/Testing/Include/Tests/TransformCF64.h b/CMSIS/DSP/Testing/Include/Tests/TransformCF64.h
index 250b667..066ced1 100755
--- a/CMSIS/DSP/Testing/Include/Tests/TransformCF64.h
+++ b/CMSIS/DSP/Testing/Include/Tests/TransformCF64.h
@@ -14,7 +14,7 @@
 
             Client::RefPattern<float64_t> ref;
 
-            //const arm_cfft_instance_f64 *instCfftF64;
+            const arm_cfft_instance_f64 *instCfftF64;
 
             int ifft;
             
diff --git a/CMSIS/DSP/Testing/Include/Tests/TransformRF64.h b/CMSIS/DSP/Testing/Include/Tests/TransformRF64.h
index 388c343..92f4121 100755
--- a/CMSIS/DSP/Testing/Include/Tests/TransformRF64.h
+++ b/CMSIS/DSP/Testing/Include/Tests/TransformRF64.h
@@ -15,7 +15,7 @@
 
             Client::RefPattern<float64_t> ref;
 
-            //arm_rfft_fast_instance_f64 instRfftF64;
+            arm_rfft_fast_instance_f64 instRfftF64;
 
             int ifft;
             
diff --git a/CMSIS/DSP/Testing/Source/Tests/TransformCF64.cpp b/CMSIS/DSP/Testing/Source/Tests/TransformCF64.cpp
index c3f7f99..05c542b 100755
--- a/CMSIS/DSP/Testing/Source/Tests/TransformCF64.cpp
+++ b/CMSIS/DSP/Testing/Source/Tests/TransformCF64.cpp
@@ -6,7 +6,7 @@
 
 #include <cstdio>
 
-#define SNR_THRESHOLD 120
+#define SNR_THRESHOLD 250
 
     void TransformCF64::test_cfft_f64()
     {
@@ -16,13 +16,12 @@
 
         memcpy(outfftp,inp,sizeof(float64_t)*input.nbSamples());
    
-        /*
         arm_cfft_f64(
              this->instCfftF64,
              outfftp,
              this->ifft,
              1);
-             */
+
           
         ASSERT_SNR(outputfft,ref,(float64_t)SNR_THRESHOLD);
         ASSERT_EMPTY_TAIL(outputfft);
@@ -43,7 +42,7 @@
             input.reload(TransformCF64::INPUTS_CFFT_NOISY_16_F64_ID,mgr);
             ref.reload(  TransformCF64::REF_CFFT_NOISY_16_F64_ID,mgr);
 
-            //instCfftF64 = &arm_cfft_sR_f64_len16;
+            instCfftF64 = &arm_cfft_sR_f64_len16;
 
             this->ifft=0;
 
@@ -54,7 +53,7 @@
             input.reload(TransformCF64::INPUTS_CIFFT_NOISY_16_F64_ID,mgr);
             ref.reload(  TransformCF64::INPUTS_CFFT_NOISY_16_F64_ID,mgr);
 
-            //instCfftF64 = &arm_cfft_sR_f64_len16;
+            instCfftF64 = &arm_cfft_sR_f64_len16;
 
             this->ifft=1;
 
@@ -65,7 +64,7 @@
             input.reload(TransformCF64::INPUTS_CFFT_NOISY_32_F64_ID,mgr);
             ref.reload(  TransformCF64::REF_CFFT_NOISY_32_F64_ID,mgr);
 
-            //instCfftF64 = &arm_cfft_sR_f64_len32;
+            instCfftF64 = &arm_cfft_sR_f64_len32;
 
             this->ifft=0;
 
@@ -76,7 +75,7 @@
             input.reload(TransformCF64::INPUTS_CIFFT_NOISY_32_F64_ID,mgr);
             ref.reload(  TransformCF64::INPUTS_CFFT_NOISY_32_F64_ID,mgr);
 
-            //instCfftF64 = &arm_cfft_sR_f64_len32;
+            instCfftF64 = &arm_cfft_sR_f64_len32;
 
             this->ifft=1;
 
@@ -87,7 +86,7 @@
             input.reload(TransformCF64::INPUTS_CFFT_NOISY_64_F64_ID,mgr);
             ref.reload(  TransformCF64::REF_CFFT_NOISY_64_F64_ID,mgr);
 
-            //instCfftF64 = &arm_cfft_sR_f64_len64;
+            instCfftF64 = &arm_cfft_sR_f64_len64;
 
             this->ifft=0;
 
@@ -98,7 +97,7 @@
             input.reload(TransformCF64::INPUTS_CIFFT_NOISY_64_F64_ID,mgr);
             ref.reload(  TransformCF64::INPUTS_CFFT_NOISY_64_F64_ID,mgr);
 
-            //instCfftF64 = &arm_cfft_sR_f64_len64;
+            instCfftF64 = &arm_cfft_sR_f64_len64;
 
             this->ifft=1;
 
@@ -109,7 +108,7 @@
             input.reload(TransformCF64::INPUTS_CFFT_NOISY_128_F64_ID,mgr);
             ref.reload(  TransformCF64::REF_CFFT_NOISY_128_F64_ID,mgr);
 
-            //instCfftF64 = &arm_cfft_sR_f64_len128;
+            instCfftF64 = &arm_cfft_sR_f64_len128;
 
             this->ifft=0;
 
@@ -120,7 +119,7 @@
             input.reload(TransformCF64::INPUTS_CIFFT_NOISY_128_F64_ID,mgr);
             ref.reload(  TransformCF64::INPUTS_CFFT_NOISY_128_F64_ID,mgr);
 
-            //instCfftF64 = &arm_cfft_sR_f64_len128;
+            instCfftF64 = &arm_cfft_sR_f64_len128;
 
             this->ifft=1;
 
@@ -131,7 +130,7 @@
             input.reload(TransformCF64::INPUTS_CFFT_NOISY_256_F64_ID,mgr);
             ref.reload(  TransformCF64::REF_CFFT_NOISY_256_F64_ID,mgr);
 
-            //instCfftF64 = &arm_cfft_sR_f64_len256;
+            instCfftF64 = &arm_cfft_sR_f64_len256;
 
             this->ifft=0;
 
@@ -142,7 +141,7 @@
             input.reload(TransformCF64::INPUTS_CIFFT_NOISY_256_F64_ID,mgr);
             ref.reload(  TransformCF64::INPUTS_CFFT_NOISY_256_F64_ID,mgr);
 
-            //instCfftF64 = &arm_cfft_sR_f64_len256;
+            instCfftF64 = &arm_cfft_sR_f64_len256;
 
             this->ifft=1;
 
@@ -153,7 +152,7 @@
             input.reload(TransformCF64::INPUTS_CFFT_NOISY_512_F64_ID,mgr);
             ref.reload(  TransformCF64::REF_CFFT_NOISY_512_F64_ID,mgr);
 
-            //instCfftF64 = &arm_cfft_sR_f64_len512;
+            instCfftF64 = &arm_cfft_sR_f64_len512;
 
             this->ifft=0;
 
@@ -164,7 +163,7 @@
             input.reload(TransformCF64::INPUTS_CIFFT_NOISY_512_F64_ID,mgr);
             ref.reload(  TransformCF64::INPUTS_CFFT_NOISY_512_F64_ID,mgr);
 
-            //instCfftF64 = &arm_cfft_sR_f64_len512;
+            instCfftF64 = &arm_cfft_sR_f64_len512;
 
             this->ifft=1;
 
@@ -175,7 +174,7 @@
             input.reload(TransformCF64::INPUTS_CFFT_NOISY_1024_F64_ID,mgr);
             ref.reload(  TransformCF64::REF_CFFT_NOISY_1024_F64_ID,mgr);
 
-            //instCfftF64 = &arm_cfft_sR_f64_len1024;
+            instCfftF64 = &arm_cfft_sR_f64_len1024;
 
             this->ifft=0;
 
@@ -186,7 +185,7 @@
             input.reload(TransformCF64::INPUTS_CIFFT_NOISY_1024_F64_ID,mgr);
             ref.reload(  TransformCF64::INPUTS_CFFT_NOISY_1024_F64_ID,mgr);
 
-            //instCfftF64 = &arm_cfft_sR_f64_len1024;
+            instCfftF64 = &arm_cfft_sR_f64_len1024;
 
             this->ifft=1;
 
@@ -197,7 +196,7 @@
             input.reload(TransformCF64::INPUTS_CFFT_NOISY_2048_F64_ID,mgr);
             ref.reload(  TransformCF64::REF_CFFT_NOISY_2048_F64_ID,mgr);
 
-            //instCfftF64 = &arm_cfft_sR_f64_len2048;
+            instCfftF64 = &arm_cfft_sR_f64_len2048;
 
             this->ifft=0;
 
@@ -208,7 +207,7 @@
             input.reload(TransformCF64::INPUTS_CIFFT_NOISY_2048_F64_ID,mgr);
             ref.reload(  TransformCF64::INPUTS_CFFT_NOISY_2048_F64_ID,mgr);
 
-            //instCfftF64 = &arm_cfft_sR_f64_len2048;
+            instCfftF64 = &arm_cfft_sR_f64_len2048;
 
             this->ifft=1;
 
@@ -219,7 +218,7 @@
             input.reload(TransformCF64::INPUTS_CFFT_NOISY_4096_F64_ID,mgr);
             ref.reload(  TransformCF64::REF_CFFT_NOISY_4096_F64_ID,mgr);
 
-            //instCfftF64 = &arm_cfft_sR_f64_len4096;
+            instCfftF64 = &arm_cfft_sR_f64_len4096;
 
             this->ifft=0;
 
@@ -230,7 +229,7 @@
             input.reload(TransformCF64::INPUTS_CIFFT_NOISY_4096_F64_ID,mgr);
             ref.reload(  TransformCF64::INPUTS_CFFT_NOISY_4096_F64_ID,mgr);
 
-            //instCfftF64 = &arm_cfft_sR_f64_len4096;
+            instCfftF64 = &arm_cfft_sR_f64_len4096;
 
             this->ifft=1;
 
@@ -243,7 +242,7 @@
             input.reload(TransformCF64::INPUTS_CFFT_STEP_16_F64_ID,mgr);
             ref.reload(  TransformCF64::REF_CFFT_STEP_16_F64_ID,mgr);
 
-            //instCfftF64 = &arm_cfft_sR_f64_len16;
+            instCfftF64 = &arm_cfft_sR_f64_len16;
 
             this->ifft=0;
 
@@ -254,7 +253,7 @@
             input.reload(TransformCF64::INPUTS_CIFFT_STEP_16_F64_ID,mgr);
             ref.reload(  TransformCF64::INPUTS_CFFT_STEP_16_F64_ID,mgr);
 
-            //instCfftF64 = &arm_cfft_sR_f64_len16;
+            instCfftF64 = &arm_cfft_sR_f64_len16;
 
             this->ifft=1;
 
@@ -265,7 +264,7 @@
             input.reload(TransformCF64::INPUTS_CFFT_STEP_32_F64_ID,mgr);
             ref.reload(  TransformCF64::REF_CFFT_STEP_32_F64_ID,mgr);
 
-            //instCfftF64 = &arm_cfft_sR_f64_len32;
+            instCfftF64 = &arm_cfft_sR_f64_len32;
 
             this->ifft=0;
 
@@ -276,7 +275,7 @@
             input.reload(TransformCF64::INPUTS_CIFFT_STEP_32_F64_ID,mgr);
             ref.reload(  TransformCF64::INPUTS_CFFT_STEP_32_F64_ID,mgr);
 
-            //instCfftF64 = &arm_cfft_sR_f64_len32;
+            instCfftF64 = &arm_cfft_sR_f64_len32;
 
             this->ifft=1;
 
@@ -287,7 +286,7 @@
             input.reload(TransformCF64::INPUTS_CFFT_STEP_64_F64_ID,mgr);
             ref.reload(  TransformCF64::REF_CFFT_STEP_64_F64_ID,mgr);
 
-            //instCfftF64 = &arm_cfft_sR_f64_len64;
+            instCfftF64 = &arm_cfft_sR_f64_len64;
 
             this->ifft=0;
 
@@ -298,7 +297,7 @@
             input.reload(TransformCF64::INPUTS_CIFFT_STEP_64_F64_ID,mgr);
             ref.reload(  TransformCF64::INPUTS_CFFT_STEP_64_F64_ID,mgr);
 
-            //instCfftF64 = &arm_cfft_sR_f64_len64;
+            instCfftF64 = &arm_cfft_sR_f64_len64;
 
             this->ifft=1;
 
@@ -309,7 +308,7 @@
             input.reload(TransformCF64::INPUTS_CFFT_STEP_128_F64_ID,mgr);
             ref.reload(  TransformCF64::REF_CFFT_STEP_128_F64_ID,mgr);
 
-            //instCfftF64 = &arm_cfft_sR_f64_len128;
+            instCfftF64 = &arm_cfft_sR_f64_len128;
 
             this->ifft=0;
 
@@ -320,7 +319,7 @@
             input.reload(TransformCF64::INPUTS_CIFFT_STEP_128_F64_ID,mgr);
             ref.reload(  TransformCF64::INPUTS_CFFT_STEP_128_F64_ID,mgr);
 
-            //instCfftF64 = &arm_cfft_sR_f64_len128;
+            instCfftF64 = &arm_cfft_sR_f64_len128;
 
             this->ifft=1;
 
@@ -331,7 +330,7 @@
             input.reload(TransformCF64::INPUTS_CFFT_STEP_256_F64_ID,mgr);
             ref.reload(  TransformCF64::REF_CFFT_STEP_256_F64_ID,mgr);
 
-            //instCfftF64 = &arm_cfft_sR_f64_len256;
+            instCfftF64 = &arm_cfft_sR_f64_len256;
 
             this->ifft=0;
 
@@ -342,7 +341,7 @@
             input.reload(TransformCF64::INPUTS_CIFFT_STEP_256_F64_ID,mgr);
             ref.reload(  TransformCF64::INPUTS_CFFT_STEP_256_F64_ID,mgr);
 
-            //instCfftF64 = &arm_cfft_sR_f64_len256;
+            instCfftF64 = &arm_cfft_sR_f64_len256;
 
             this->ifft=1;
 
@@ -353,7 +352,7 @@
             input.reload(TransformCF64::INPUTS_CFFT_STEP_512_F64_ID,mgr);
             ref.reload(  TransformCF64::REF_CFFT_STEP_512_F64_ID,mgr);
 
-            //instCfftF64 = &arm_cfft_sR_f64_len512;
+            instCfftF64 = &arm_cfft_sR_f64_len512;
 
             this->ifft=0;
 
@@ -364,7 +363,7 @@
             input.reload(TransformCF64::INPUTS_CIFFT_STEP_512_F64_ID,mgr);
             ref.reload(  TransformCF64::INPUTS_CFFT_STEP_512_F64_ID,mgr);
 
-            //instCfftF64 = &arm_cfft_sR_f64_len512;
+            instCfftF64 = &arm_cfft_sR_f64_len512;
 
             this->ifft=1;
 
@@ -375,7 +374,7 @@
             input.reload(TransformCF64::INPUTS_CFFT_STEP_1024_F64_ID,mgr);
             ref.reload(  TransformCF64::REF_CFFT_STEP_1024_F64_ID,mgr);
 
-            //instCfftF64 = &arm_cfft_sR_f64_len1024;
+            instCfftF64 = &arm_cfft_sR_f64_len1024;
 
             this->ifft=0;
 
@@ -386,7 +385,7 @@
             input.reload(TransformCF64::INPUTS_CIFFT_STEP_1024_F64_ID,mgr);
             ref.reload(  TransformCF64::INPUTS_CFFT_STEP_1024_F64_ID,mgr);
 
-            //instCfftF64 = &arm_cfft_sR_f64_len1024;
+            instCfftF64 = &arm_cfft_sR_f64_len1024;
 
             this->ifft=1;
 
@@ -397,7 +396,7 @@
             input.reload(TransformCF64::INPUTS_CFFT_STEP_2048_F64_ID,mgr);
             ref.reload(  TransformCF64::REF_CFFT_STEP_2048_F64_ID,mgr);
 
-            //instCfftF64 = &arm_cfft_sR_f64_len2048;
+            instCfftF64 = &arm_cfft_sR_f64_len2048;
 
             this->ifft=0;
 
@@ -408,7 +407,7 @@
             input.reload(TransformCF64::INPUTS_CIFFT_STEP_2048_F64_ID,mgr);
             ref.reload(  TransformCF64::INPUTS_CFFT_STEP_2048_F64_ID,mgr);
 
-            //instCfftF64 = &arm_cfft_sR_f64_len2048;
+            instCfftF64 = &arm_cfft_sR_f64_len2048;
 
             this->ifft=1;
 
@@ -419,7 +418,7 @@
             input.reload(TransformCF64::INPUTS_CFFT_STEP_4096_F64_ID,mgr);
             ref.reload(  TransformCF64::REF_CFFT_STEP_4096_F64_ID,mgr);
 
-            //instCfftF64 = &arm_cfft_sR_f64_len4096;
+            instCfftF64 = &arm_cfft_sR_f64_len4096;
 
             this->ifft=0;
 
@@ -430,7 +429,7 @@
             input.reload(TransformCF64::INPUTS_CIFFT_STEP_4096_F64_ID,mgr);
             ref.reload(  TransformCF64::INPUTS_CFFT_STEP_4096_F64_ID,mgr);
 
-            //instCfftF64 = &arm_cfft_sR_f64_len4096;
+            instCfftF64 = &arm_cfft_sR_f64_len4096;
 
             this->ifft=1;
 
diff --git a/CMSIS/DSP/Testing/Source/Tests/TransformRF64.cpp b/CMSIS/DSP/Testing/Source/Tests/TransformRF64.cpp
index 0e6f05b..cb19870 100755
--- a/CMSIS/DSP/Testing/Source/Tests/TransformRF64.cpp
+++ b/CMSIS/DSP/Testing/Source/Tests/TransformRF64.cpp
@@ -6,7 +6,7 @@
 
 #include <cstdio>
 
-#define SNR_THRESHOLD 120
+#define SNR_THRESHOLD 250
 
 
 
@@ -19,24 +19,24 @@
        float64_t *outp = outputfft.ptr();
 
        memcpy(tmp,inp,sizeof(float64_t)*input.nbSamples());
-   /*
+
         arm_rfft_fast_f64(
              &this->instRfftF64,
              tmp,
              outp,
              this->ifft);
-          */
+
         ASSERT_SNR(outputfft,ref,(float64_t)SNR_THRESHOLD);
         ASSERT_EMPTY_TAIL(outputfft);
-        
-    } 
 
-  
+    }
+
+
     void TransformRF64::setUp(Testing::testID_t id,std::vector<Testing::param_t>& paramsArgs,Client::PatternMgr *mgr)
     {
 
 
-       
+
 
        switch(id)
        {
@@ -46,7 +46,7 @@
             input.reload(TransformRF64::INPUTS_RFFT_NOISY_32_F64_ID,mgr);
             ref.reload(  TransformRF64::REF_RFFT_NOISY_32_F64_ID,mgr);
 
-            //arm_rfft_fast_init_f64(&this->instRfftF64 ,32);
+            arm_rfft_fast_init_f64(&this->instRfftF64 ,32);
 
             inputchanged.create(input.nbSamples(),TransformRF64::TEMP_F64_ID,mgr);
 
@@ -59,7 +59,7 @@
             input.reload(TransformRF64::INPUTS_RIFFT_NOISY_64_F64_ID,mgr);
             ref.reload(  TransformRF64::INPUTS_RFFT_NOISY_64_F64_ID,mgr);
 
-            //arm_rfft_fast_init_f64(&this->instRfftF64 ,64);
+            arm_rfft_fast_init_f64(&this->instRfftF64 ,64);
 
             inputchanged.create(input.nbSamples(),TransformRF64::TEMP_F64_ID,mgr);
 
@@ -72,7 +72,7 @@
             input.reload(TransformRF64::INPUTS_RFFT_NOISY_64_F64_ID,mgr);
             ref.reload(  TransformRF64::REF_RFFT_NOISY_64_F64_ID,mgr);
 
-            //arm_rfft_fast_init_f64(&this->instRfftF64 ,64);
+            arm_rfft_fast_init_f64(&this->instRfftF64 ,64);
 
             inputchanged.create(input.nbSamples(),TransformRF64::TEMP_F64_ID,mgr);
 
@@ -85,7 +85,7 @@
             input.reload(TransformRF64::INPUTS_RIFFT_NOISY_64_F64_ID,mgr);
             ref.reload(  TransformRF64::INPUTS_RFFT_NOISY_64_F64_ID,mgr);
 
-            //arm_rfft_fast_init_f64(&this->instRfftF64 ,64);
+            arm_rfft_fast_init_f64(&this->instRfftF64 ,64);
 
             inputchanged.create(input.nbSamples(),TransformRF64::TEMP_F64_ID,mgr);
 
@@ -98,7 +98,7 @@
             input.reload(TransformRF64::INPUTS_RFFT_NOISY_128_F64_ID,mgr);
             ref.reload(  TransformRF64::REF_RFFT_NOISY_128_F64_ID,mgr);
 
-            //arm_rfft_fast_init_f64(&this->instRfftF64 ,128);
+            arm_rfft_fast_init_f64(&this->instRfftF64 ,128);
 
             inputchanged.create(input.nbSamples(),TransformRF64::TEMP_F64_ID,mgr);
 
@@ -111,7 +111,7 @@
             input.reload(TransformRF64::INPUTS_RIFFT_NOISY_128_F64_ID,mgr);
             ref.reload(  TransformRF64::INPUTS_RFFT_NOISY_128_F64_ID,mgr);
 
-            //arm_rfft_fast_init_f64(&this->instRfftF64 ,128);
+            arm_rfft_fast_init_f64(&this->instRfftF64 ,128);
 
             inputchanged.create(input.nbSamples(),TransformRF64::TEMP_F64_ID,mgr);
 
@@ -124,7 +124,7 @@
             input.reload(TransformRF64::INPUTS_RFFT_NOISY_256_F64_ID,mgr);
             ref.reload(  TransformRF64::REF_RFFT_NOISY_256_F64_ID,mgr);
 
-            //arm_rfft_fast_init_f64(&this->instRfftF64 ,256);
+            arm_rfft_fast_init_f64(&this->instRfftF64 ,256);
 
             inputchanged.create(input.nbSamples(),TransformRF64::TEMP_F64_ID,mgr);
 
@@ -137,7 +137,7 @@
             input.reload(TransformRF64::INPUTS_RIFFT_NOISY_256_F64_ID,mgr);
             ref.reload(  TransformRF64::INPUTS_RFFT_NOISY_256_F64_ID,mgr);
 
-            //arm_rfft_fast_init_f64(&this->instRfftF64 ,256);
+            arm_rfft_fast_init_f64(&this->instRfftF64 ,256);
 
             inputchanged.create(input.nbSamples(),TransformRF64::TEMP_F64_ID,mgr);
 
@@ -150,7 +150,7 @@
             input.reload(TransformRF64::INPUTS_RFFT_NOISY_512_F64_ID,mgr);
             ref.reload(  TransformRF64::REF_RFFT_NOISY_512_F64_ID,mgr);
 
-            //arm_rfft_fast_init_f64(&this->instRfftF64 ,512);
+            arm_rfft_fast_init_f64(&this->instRfftF64 ,512);
 
             inputchanged.create(input.nbSamples(),TransformRF64::TEMP_F64_ID,mgr);
 
@@ -163,7 +163,7 @@
             input.reload(TransformRF64::INPUTS_RIFFT_NOISY_512_F64_ID,mgr);
             ref.reload(  TransformRF64::INPUTS_RFFT_NOISY_512_F64_ID,mgr);
 
-            //arm_rfft_fast_init_f64(&this->instRfftF64 ,512);
+            arm_rfft_fast_init_f64(&this->instRfftF64 ,512);
 
             inputchanged.create(input.nbSamples(),TransformRF64::TEMP_F64_ID,mgr);
 
@@ -176,7 +176,7 @@
             input.reload(TransformRF64::INPUTS_RFFT_NOISY_1024_F64_ID,mgr);
             ref.reload(  TransformRF64::REF_RFFT_NOISY_1024_F64_ID,mgr);
 
-            //arm_rfft_fast_init_f64(&this->instRfftF64 ,1024);
+            arm_rfft_fast_init_f64(&this->instRfftF64 ,1024);
 
             inputchanged.create(input.nbSamples(),TransformRF64::TEMP_F64_ID,mgr);
 
@@ -189,7 +189,7 @@
             input.reload(TransformRF64::INPUTS_RIFFT_NOISY_1024_F64_ID,mgr);
             ref.reload(  TransformRF64::INPUTS_RFFT_NOISY_1024_F64_ID,mgr);
 
-            //arm_rfft_fast_init_f64(&this->instRfftF64 ,1024);
+            arm_rfft_fast_init_f64(&this->instRfftF64 ,1024);
 
             inputchanged.create(input.nbSamples(),TransformRF64::TEMP_F64_ID,mgr);
 
@@ -202,7 +202,7 @@
             input.reload(TransformRF64::INPUTS_RFFT_NOISY_2048_F64_ID,mgr);
             ref.reload(  TransformRF64::REF_RFFT_NOISY_2048_F64_ID,mgr);
 
-            //arm_rfft_fast_init_f64(&this->instRfftF64 ,2048);
+            arm_rfft_fast_init_f64(&this->instRfftF64 ,2048);
 
             inputchanged.create(input.nbSamples(),TransformRF64::TEMP_F64_ID,mgr);
 
@@ -215,7 +215,7 @@
             input.reload(TransformRF64::INPUTS_RIFFT_NOISY_2048_F64_ID,mgr);
             ref.reload(  TransformRF64::INPUTS_RFFT_NOISY_2048_F64_ID,mgr);
 
-            //arm_rfft_fast_init_f64(&this->instRfftF64 ,2048);
+            arm_rfft_fast_init_f64(&this->instRfftF64 ,2048);
 
             inputchanged.create(input.nbSamples(),TransformRF64::TEMP_F64_ID,mgr);
 
@@ -228,7 +228,7 @@
             input.reload(TransformRF64::INPUTS_RFFT_NOISY_4096_F64_ID,mgr);
             ref.reload(  TransformRF64::REF_RFFT_NOISY_4096_F64_ID,mgr);
 
-            //arm_rfft_fast_init_f64(&this->instRfftF64 ,4096);
+            arm_rfft_fast_init_f64(&this->instRfftF64 ,4096);
 
             inputchanged.create(input.nbSamples(),TransformRF64::TEMP_F64_ID,mgr);
 
@@ -241,7 +241,7 @@
             input.reload(TransformRF64::INPUTS_RIFFT_NOISY_4096_F64_ID,mgr);
             ref.reload(  TransformRF64::INPUTS_RFFT_NOISY_4096_F64_ID,mgr);
 
-            //arm_rfft_fast_init_f64(&this->instRfftF64 ,4096);
+            arm_rfft_fast_init_f64(&this->instRfftF64 ,4096);
 
             inputchanged.create(input.nbSamples(),TransformRF64::TEMP_F64_ID,mgr);
 
@@ -256,7 +256,7 @@
             input.reload(TransformRF64::INPUTS_RFFT_STEP_32_F64_ID,mgr);
             ref.reload(  TransformRF64::REF_RFFT_STEP_32_F64_ID,mgr);
 
-            //arm_rfft_fast_init_f64(&this->instRfftF64 ,32);
+            arm_rfft_fast_init_f64(&this->instRfftF64 ,32);
 
             inputchanged.create(input.nbSamples(),TransformRF64::TEMP_F64_ID,mgr);
 
@@ -269,7 +269,7 @@
             input.reload(TransformRF64::INPUTS_RIFFT_STEP_64_F64_ID,mgr);
             ref.reload(  TransformRF64::INPUTS_RFFT_STEP_64_F64_ID,mgr);
 
-            //arm_rfft_fast_init_f64(&this->instRfftF64 ,64);
+            arm_rfft_fast_init_f64(&this->instRfftF64 ,64);
 
             inputchanged.create(input.nbSamples(),TransformRF64::TEMP_F64_ID,mgr);
 
@@ -282,7 +282,7 @@
             input.reload(TransformRF64::INPUTS_RFFT_STEP_64_F64_ID,mgr);
             ref.reload(  TransformRF64::REF_RFFT_STEP_64_F64_ID,mgr);
 
-            //arm_rfft_fast_init_f64(&this->instRfftF64 ,64);
+            arm_rfft_fast_init_f64(&this->instRfftF64 ,64);
 
             inputchanged.create(input.nbSamples(),TransformRF64::TEMP_F64_ID,mgr);
 
@@ -295,7 +295,7 @@
             input.reload(TransformRF64::INPUTS_RIFFT_STEP_64_F64_ID,mgr);
             ref.reload(  TransformRF64::INPUTS_RFFT_STEP_64_F64_ID,mgr);
 
-            //arm_rfft_fast_init_f64(&this->instRfftF64 ,64);
+            arm_rfft_fast_init_f64(&this->instRfftF64 ,64);
 
             inputchanged.create(input.nbSamples(),TransformRF64::TEMP_F64_ID,mgr);
 
@@ -308,7 +308,7 @@
             input.reload(TransformRF64::INPUTS_RFFT_STEP_128_F64_ID,mgr);
             ref.reload(  TransformRF64::REF_RFFT_STEP_128_F64_ID,mgr);
 
-            //arm_rfft_fast_init_f64(&this->instRfftF64 ,128);
+            arm_rfft_fast_init_f64(&this->instRfftF64 ,128);
 
             inputchanged.create(input.nbSamples(),TransformRF64::TEMP_F64_ID,mgr);
             this->ifft=0;
@@ -320,7 +320,7 @@
             input.reload(TransformRF64::INPUTS_RIFFT_STEP_128_F64_ID,mgr);
             ref.reload(  TransformRF64::INPUTS_RFFT_STEP_128_F64_ID,mgr);
 
-            //arm_rfft_fast_init_f64(&this->instRfftF64 ,128);
+            arm_rfft_fast_init_f64(&this->instRfftF64 ,128);
 
             inputchanged.create(input.nbSamples(),TransformRF64::TEMP_F64_ID,mgr);
 
@@ -333,7 +333,7 @@
             input.reload(TransformRF64::INPUTS_RFFT_STEP_256_F64_ID,mgr);
             ref.reload(  TransformRF64::REF_RFFT_STEP_256_F64_ID,mgr);
 
-            //arm_rfft_fast_init_f64(&this->instRfftF64 ,256);
+            arm_rfft_fast_init_f64(&this->instRfftF64 ,256);
 
             inputchanged.create(input.nbSamples(),TransformRF64::TEMP_F64_ID,mgr);
 
@@ -346,7 +346,7 @@
             input.reload(TransformRF64::INPUTS_RIFFT_STEP_256_F64_ID,mgr);
             ref.reload(  TransformRF64::INPUTS_RFFT_STEP_256_F64_ID,mgr);
 
-            //arm_rfft_fast_init_f64(&this->instRfftF64 ,256);
+            arm_rfft_fast_init_f64(&this->instRfftF64 ,256);
 
             inputchanged.create(input.nbSamples(),TransformRF64::TEMP_F64_ID,mgr);
 
@@ -359,7 +359,7 @@
             input.reload(TransformRF64::INPUTS_RFFT_STEP_512_F64_ID,mgr);
             ref.reload(  TransformRF64::REF_RFFT_STEP_512_F64_ID,mgr);
 
-            //arm_rfft_fast_init_f64(&this->instRfftF64 ,512);
+            arm_rfft_fast_init_f64(&this->instRfftF64 ,512);
 
             inputchanged.create(input.nbSamples(),TransformRF64::TEMP_F64_ID,mgr);
 
@@ -372,7 +372,7 @@
             input.reload(TransformRF64::INPUTS_RIFFT_STEP_512_F64_ID,mgr);
             ref.reload(  TransformRF64::INPUTS_RFFT_STEP_512_F64_ID,mgr);
 
-            //arm_rfft_fast_init_f64(&this->instRfftF64 ,512);
+            arm_rfft_fast_init_f64(&this->instRfftF64 ,512);
 
             inputchanged.create(input.nbSamples(),TransformRF64::TEMP_F64_ID,mgr);
 
@@ -385,7 +385,7 @@
             input.reload(TransformRF64::INPUTS_RFFT_STEP_1024_F64_ID,mgr);
             ref.reload(  TransformRF64::REF_RFFT_STEP_1024_F64_ID,mgr);
 
-            //arm_rfft_fast_init_f64(&this->instRfftF64 ,1024);
+            arm_rfft_fast_init_f64(&this->instRfftF64 ,1024);
 
             inputchanged.create(input.nbSamples(),TransformRF64::TEMP_F64_ID,mgr);
 
@@ -398,7 +398,7 @@
             input.reload(TransformRF64::INPUTS_RIFFT_STEP_1024_F64_ID,mgr);
             ref.reload(  TransformRF64::INPUTS_RFFT_STEP_1024_F64_ID,mgr);
 
-            //arm_rfft_fast_init_f64(&this->instRfftF64 ,1024);
+            arm_rfft_fast_init_f64(&this->instRfftF64 ,1024);
 
             inputchanged.create(input.nbSamples(),TransformRF64::TEMP_F64_ID,mgr);
 
@@ -411,7 +411,7 @@
             input.reload(TransformRF64::INPUTS_RFFT_STEP_2048_F64_ID,mgr);
             ref.reload(  TransformRF64::REF_RFFT_STEP_2048_F64_ID,mgr);
 
-            //arm_rfft_fast_init_f64(&this->instRfftF64 ,2048);
+            arm_rfft_fast_init_f64(&this->instRfftF64 ,2048);
 
             inputchanged.create(input.nbSamples(),TransformRF64::TEMP_F64_ID,mgr);
 
@@ -424,7 +424,7 @@
             input.reload(TransformRF64::INPUTS_RIFFT_STEP_2048_F64_ID,mgr);
             ref.reload(  TransformRF64::INPUTS_RFFT_STEP_2048_F64_ID,mgr);
 
-            //arm_rfft_fast_init_f64(&this->instRfftF64 ,2048);
+            arm_rfft_fast_init_f64(&this->instRfftF64 ,2048);
 
             inputchanged.create(input.nbSamples(),TransformRF64::TEMP_F64_ID,mgr);
 
@@ -437,7 +437,7 @@
             input.reload(TransformRF64::INPUTS_RFFT_STEP_4096_F64_ID,mgr);
             ref.reload(  TransformRF64::REF_RFFT_STEP_4096_F64_ID,mgr);
 
-            //arm_rfft_fast_init_f64(&this->instRfftF64 ,4096);
+            arm_rfft_fast_init_f64(&this->instRfftF64 ,4096);
 
             inputchanged.create(input.nbSamples(),TransformRF64::TEMP_F64_ID,mgr);
 
@@ -450,7 +450,7 @@
             input.reload(TransformRF64::INPUTS_RIFFT_STEP_4096_F64_ID,mgr);
             ref.reload(  TransformRF64::INPUTS_RFFT_STEP_4096_F64_ID,mgr);
 
-            //arm_rfft_fast_init_f64(&this->instRfftF64 ,4096);
+            arm_rfft_fast_init_f64(&this->instRfftF64 ,4096);
 
             inputchanged.create(input.nbSamples(),TransformRF64::TEMP_F64_ID,mgr);
 
@@ -462,9 +462,9 @@
 
        }
 
-       
+
       outputfft.create(ref.nbSamples(),TransformRF64::OUTPUT_RFFT_F64_ID,mgr);
-       
+
 
     }