diff --git a/tests/opt-testcases/tls13-compat.sh b/tests/opt-testcases/tls13-compat.sh
index f5989ba..fa7663b 100755
--- a/tests/opt-testcases/tls13-compat.sh
+++ b/tests/opt-testcases/tls13-compat.sh
@@ -20,7 +20,7 @@
 # Purpose
 #
 # List TLS1.3 compat test cases. They are generated by
-# `generate_tls13_compat_tests.py -a`.
+# `./tests/scripts/generate_tls13_compat_tests.py -a -o tests/opt-testcases/tls13-compat.sh`.
 #
 # PLEASE DO NOT EDIT THIS FILE. IF NEEDED, PLEASE MODIFY `generate_tls13_compat_tests.py`
 # AND REGENERATE THIS FILE.
@@ -35,10 +35,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -52,10 +53,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -64,13 +66,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_GCM_SHA256,secp384r1,ecdsa_secp256r1_sha256" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_GCM_SHA256 -sigalgs ecdsa_secp256r1_sha256 -groups P-384 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp384r1,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -81,13 +84,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_GCM_SHA256,secp384r1,ecdsa_secp256r1_sha256" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --priority=NONE:+AEAD:+AES-128-GCM:+GROUP-SECP384R1:+SHA256:+SIGN-ECDSA-SECP256R1-SHA256:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp384r1,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -96,13 +100,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_GCM_SHA256,secp521r1,ecdsa_secp256r1_sha256" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_GCM_SHA256 -sigalgs ecdsa_secp256r1_sha256 -groups P-521 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp521r1,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -113,13 +118,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_GCM_SHA256,secp521r1,ecdsa_secp256r1_sha256" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --priority=NONE:+AEAD:+AES-128-GCM:+GROUP-SECP521R1:+SHA256:+SIGN-ECDSA-SECP256R1-SHA256:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp521r1,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -128,13 +134,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_GCM_SHA256,x25519,ecdsa_secp256r1_sha256" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_GCM_SHA256 -sigalgs ecdsa_secp256r1_sha256 -groups X25519 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x25519,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -145,13 +152,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_GCM_SHA256,x25519,ecdsa_secp256r1_sha256" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --priority=NONE:+AEAD:+AES-128-GCM:+GROUP-X25519:+SHA256:+SIGN-ECDSA-SECP256R1-SHA256:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x25519,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -160,13 +168,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_GCM_SHA256,x448,ecdsa_secp256r1_sha256" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_GCM_SHA256 -sigalgs ecdsa_secp256r1_sha256 -groups X448 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x448,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -177,13 +186,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_GCM_SHA256,x448,ecdsa_secp256r1_sha256" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --priority=NONE:+AEAD:+AES-128-GCM:+GROUP-X448:+SHA256:+SIGN-ECDSA-SECP256R1-SHA256:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x448,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -192,13 +202,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_GCM_SHA256,secp256r1,ecdsa_secp384r1_sha384" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_GCM_SHA256 -sigalgs ecdsa_secp384r1_sha384 -groups P-256 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp256r1,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -209,13 +220,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_GCM_SHA256,secp256r1,ecdsa_secp384r1_sha384" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+AEAD:+AES-128-GCM:+GROUP-SECP256R1:+SHA256:+SIGN-ECDSA-SECP384R1-SHA384:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp256r1,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -227,10 +239,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -244,10 +257,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -256,13 +270,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_GCM_SHA256,secp521r1,ecdsa_secp384r1_sha384" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_GCM_SHA256 -sigalgs ecdsa_secp384r1_sha384 -groups P-521 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp521r1,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -273,13 +288,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_GCM_SHA256,secp521r1,ecdsa_secp384r1_sha384" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+AEAD:+AES-128-GCM:+GROUP-SECP521R1:+SHA256:+SIGN-ECDSA-SECP384R1-SHA384:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp521r1,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -288,13 +304,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_GCM_SHA256,x25519,ecdsa_secp384r1_sha384" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_GCM_SHA256 -sigalgs ecdsa_secp384r1_sha384 -groups X25519 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x25519,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -305,13 +322,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_GCM_SHA256,x25519,ecdsa_secp384r1_sha384" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+AEAD:+AES-128-GCM:+GROUP-X25519:+SHA256:+SIGN-ECDSA-SECP384R1-SHA384:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x25519,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -320,13 +338,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_GCM_SHA256,x448,ecdsa_secp384r1_sha384" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_GCM_SHA256 -sigalgs ecdsa_secp384r1_sha384 -groups X448 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x448,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -337,13 +356,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_GCM_SHA256,x448,ecdsa_secp384r1_sha384" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+AEAD:+AES-128-GCM:+GROUP-X448:+SHA256:+SIGN-ECDSA-SECP384R1-SHA384:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x448,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -352,13 +372,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_GCM_SHA256,secp256r1,ecdsa_secp521r1_sha512" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_GCM_SHA256 -sigalgs ecdsa_secp521r1_sha512 -groups P-256 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp256r1,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -369,13 +390,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_GCM_SHA256,secp256r1,ecdsa_secp521r1_sha512" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --priority=NONE:+AEAD:+AES-128-GCM:+GROUP-SECP256R1:+SHA256:+SIGN-ECDSA-SECP521R1-SHA512:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp256r1,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -384,13 +406,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_GCM_SHA256,secp384r1,ecdsa_secp521r1_sha512" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_GCM_SHA256 -sigalgs ecdsa_secp521r1_sha512 -groups P-384 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp384r1,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -401,13 +424,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_GCM_SHA256,secp384r1,ecdsa_secp521r1_sha512" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --priority=NONE:+AEAD:+AES-128-GCM:+GROUP-SECP384R1:+SHA256:+SIGN-ECDSA-SECP521R1-SHA512:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp384r1,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -419,10 +443,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -436,10 +461,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -448,13 +474,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_GCM_SHA256,x25519,ecdsa_secp521r1_sha512" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_GCM_SHA256 -sigalgs ecdsa_secp521r1_sha512 -groups X25519 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x25519,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -465,13 +492,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_GCM_SHA256,x25519,ecdsa_secp521r1_sha512" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --priority=NONE:+AEAD:+AES-128-GCM:+GROUP-X25519:+SHA256:+SIGN-ECDSA-SECP521R1-SHA512:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x25519,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -480,13 +508,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_GCM_SHA256,x448,ecdsa_secp521r1_sha512" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_GCM_SHA256 -sigalgs ecdsa_secp521r1_sha512 -groups X448 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x448,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -497,13 +526,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_GCM_SHA256,x448,ecdsa_secp521r1_sha512" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --priority=NONE:+AEAD:+AES-128-GCM:+GROUP-X448:+SHA256:+SIGN-ECDSA-SECP521R1-SHA512:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x448,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -516,10 +546,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -534,10 +565,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -550,10 +582,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -568,10 +601,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -584,10 +618,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -602,10 +637,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -618,10 +654,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -636,10 +673,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -652,10 +690,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -670,10 +709,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -685,10 +725,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp256r1_sha256 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -702,10 +743,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp256r1_sha256 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -714,13 +756,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_256_GCM_SHA384,secp384r1,ecdsa_secp256r1_sha256" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -accept $SRV_PORT -ciphersuites TLS_AES_256_GCM_SHA384 -sigalgs ecdsa_secp256r1_sha256 -groups P-384 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp256r1_sha256 curves=secp384r1,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp256r1_sha256 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -731,13 +774,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_256_GCM_SHA384,secp384r1,ecdsa_secp256r1_sha256" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --priority=NONE:+AEAD:+AES-256-GCM:+GROUP-SECP384R1:+SHA384:+SIGN-ECDSA-SECP256R1-SHA256:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp256r1_sha256 curves=secp384r1,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp256r1_sha256 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -746,13 +790,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_256_GCM_SHA384,secp521r1,ecdsa_secp256r1_sha256" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -accept $SRV_PORT -ciphersuites TLS_AES_256_GCM_SHA384 -sigalgs ecdsa_secp256r1_sha256 -groups P-521 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp256r1_sha256 curves=secp521r1,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp256r1_sha256 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -763,13 +808,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_256_GCM_SHA384,secp521r1,ecdsa_secp256r1_sha256" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --priority=NONE:+AEAD:+AES-256-GCM:+GROUP-SECP521R1:+SHA384:+SIGN-ECDSA-SECP256R1-SHA256:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp256r1_sha256 curves=secp521r1,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp256r1_sha256 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -778,13 +824,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_256_GCM_SHA384,x25519,ecdsa_secp256r1_sha256" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -accept $SRV_PORT -ciphersuites TLS_AES_256_GCM_SHA384 -sigalgs ecdsa_secp256r1_sha256 -groups X25519 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp256r1_sha256 curves=x25519,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp256r1_sha256 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -795,13 +842,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_256_GCM_SHA384,x25519,ecdsa_secp256r1_sha256" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --priority=NONE:+AEAD:+AES-256-GCM:+GROUP-X25519:+SHA384:+SIGN-ECDSA-SECP256R1-SHA256:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp256r1_sha256 curves=x25519,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp256r1_sha256 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -810,13 +858,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_256_GCM_SHA384,x448,ecdsa_secp256r1_sha256" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -accept $SRV_PORT -ciphersuites TLS_AES_256_GCM_SHA384 -sigalgs ecdsa_secp256r1_sha256 -groups X448 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp256r1_sha256 curves=x448,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp256r1_sha256 curves=x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -827,13 +876,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_256_GCM_SHA384,x448,ecdsa_secp256r1_sha256" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --priority=NONE:+AEAD:+AES-256-GCM:+GROUP-X448:+SHA384:+SIGN-ECDSA-SECP256R1-SHA256:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp256r1_sha256 curves=x448,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp256r1_sha256 curves=x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -842,13 +892,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_256_GCM_SHA384,secp256r1,ecdsa_secp384r1_sha384" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -ciphersuites TLS_AES_256_GCM_SHA384 -sigalgs ecdsa_secp384r1_sha384 -groups P-256 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp384r1_sha384 curves=secp256r1,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp384r1_sha384 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -859,13 +910,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_256_GCM_SHA384,secp256r1,ecdsa_secp384r1_sha384" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+AEAD:+AES-256-GCM:+GROUP-SECP256R1:+SHA384:+SIGN-ECDSA-SECP384R1-SHA384:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp384r1_sha384 curves=secp256r1,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp384r1_sha384 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -877,10 +929,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp384r1_sha384 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -894,10 +947,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp384r1_sha384 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -906,13 +960,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_256_GCM_SHA384,secp521r1,ecdsa_secp384r1_sha384" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -ciphersuites TLS_AES_256_GCM_SHA384 -sigalgs ecdsa_secp384r1_sha384 -groups P-521 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp384r1_sha384 curves=secp521r1,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp384r1_sha384 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -923,13 +978,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_256_GCM_SHA384,secp521r1,ecdsa_secp384r1_sha384" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+AEAD:+AES-256-GCM:+GROUP-SECP521R1:+SHA384:+SIGN-ECDSA-SECP384R1-SHA384:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp384r1_sha384 curves=secp521r1,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp384r1_sha384 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -938,13 +994,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_256_GCM_SHA384,x25519,ecdsa_secp384r1_sha384" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -ciphersuites TLS_AES_256_GCM_SHA384 -sigalgs ecdsa_secp384r1_sha384 -groups X25519 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp384r1_sha384 curves=x25519,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp384r1_sha384 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -955,13 +1012,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_256_GCM_SHA384,x25519,ecdsa_secp384r1_sha384" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+AEAD:+AES-256-GCM:+GROUP-X25519:+SHA384:+SIGN-ECDSA-SECP384R1-SHA384:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp384r1_sha384 curves=x25519,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp384r1_sha384 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -970,13 +1028,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_256_GCM_SHA384,x448,ecdsa_secp384r1_sha384" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -ciphersuites TLS_AES_256_GCM_SHA384 -sigalgs ecdsa_secp384r1_sha384 -groups X448 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp384r1_sha384 curves=x448,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp384r1_sha384 curves=x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -987,13 +1046,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_256_GCM_SHA384,x448,ecdsa_secp384r1_sha384" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+AEAD:+AES-256-GCM:+GROUP-X448:+SHA384:+SIGN-ECDSA-SECP384R1-SHA384:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp384r1_sha384 curves=x448,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp384r1_sha384 curves=x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1002,13 +1062,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_256_GCM_SHA384,secp256r1,ecdsa_secp521r1_sha512" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -accept $SRV_PORT -ciphersuites TLS_AES_256_GCM_SHA384 -sigalgs ecdsa_secp521r1_sha512 -groups P-256 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp521r1_sha512 curves=secp256r1,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp521r1_sha512 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1019,13 +1080,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_256_GCM_SHA384,secp256r1,ecdsa_secp521r1_sha512" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --priority=NONE:+AEAD:+AES-256-GCM:+GROUP-SECP256R1:+SHA384:+SIGN-ECDSA-SECP521R1-SHA512:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp521r1_sha512 curves=secp256r1,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp521r1_sha512 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1034,13 +1096,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_256_GCM_SHA384,secp384r1,ecdsa_secp521r1_sha512" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -accept $SRV_PORT -ciphersuites TLS_AES_256_GCM_SHA384 -sigalgs ecdsa_secp521r1_sha512 -groups P-384 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp521r1_sha512 curves=secp384r1,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp521r1_sha512 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1051,13 +1114,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_256_GCM_SHA384,secp384r1,ecdsa_secp521r1_sha512" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --priority=NONE:+AEAD:+AES-256-GCM:+GROUP-SECP384R1:+SHA384:+SIGN-ECDSA-SECP521R1-SHA512:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp521r1_sha512 curves=secp384r1,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp521r1_sha512 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1069,10 +1133,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp521r1_sha512 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1086,10 +1151,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp521r1_sha512 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1098,13 +1164,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_256_GCM_SHA384,x25519,ecdsa_secp521r1_sha512" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -accept $SRV_PORT -ciphersuites TLS_AES_256_GCM_SHA384 -sigalgs ecdsa_secp521r1_sha512 -groups X25519 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp521r1_sha512 curves=x25519,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp521r1_sha512 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1115,13 +1182,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_256_GCM_SHA384,x25519,ecdsa_secp521r1_sha512" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --priority=NONE:+AEAD:+AES-256-GCM:+GROUP-X25519:+SHA384:+SIGN-ECDSA-SECP521R1-SHA512:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp521r1_sha512 curves=x25519,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp521r1_sha512 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1130,13 +1198,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_256_GCM_SHA384,x448,ecdsa_secp521r1_sha512" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -accept $SRV_PORT -ciphersuites TLS_AES_256_GCM_SHA384 -sigalgs ecdsa_secp521r1_sha512 -groups X448 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp521r1_sha512 curves=x448,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp521r1_sha512 curves=x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1147,13 +1216,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_256_GCM_SHA384,x448,ecdsa_secp521r1_sha512" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --priority=NONE:+AEAD:+AES-256-GCM:+GROUP-X448:+SHA384:+SIGN-ECDSA-SECP521R1-SHA512:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp521r1_sha512 curves=x448,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp521r1_sha512 curves=x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1166,10 +1236,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=rsa_pss_rsae_sha256 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1184,10 +1255,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=rsa_pss_rsae_sha256 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1200,10 +1272,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=rsa_pss_rsae_sha256 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1218,10 +1291,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=rsa_pss_rsae_sha256 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1234,10 +1308,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=rsa_pss_rsae_sha256 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1252,10 +1327,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=rsa_pss_rsae_sha256 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1268,10 +1344,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=rsa_pss_rsae_sha256 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1286,10 +1363,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=rsa_pss_rsae_sha256 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1302,10 +1380,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=rsa_pss_rsae_sha256 curves=x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1320,10 +1399,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=rsa_pss_rsae_sha256 curves=x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1335,10 +1415,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1352,10 +1433,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1364,13 +1446,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_CHACHA20_POLY1305_SHA256,secp384r1,ecdsa_secp256r1_sha256" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -accept $SRV_PORT -ciphersuites TLS_CHACHA20_POLY1305_SHA256 -sigalgs ecdsa_secp256r1_sha256 -groups P-384 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp384r1,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1381,13 +1464,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_CHACHA20_POLY1305_SHA256,secp384r1,ecdsa_secp256r1_sha256" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --priority=NONE:+AEAD:+CHACHA20-POLY1305:+GROUP-SECP384R1:+SHA256:+SIGN-ECDSA-SECP256R1-SHA256:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp384r1,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1396,13 +1480,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_CHACHA20_POLY1305_SHA256,secp521r1,ecdsa_secp256r1_sha256" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -accept $SRV_PORT -ciphersuites TLS_CHACHA20_POLY1305_SHA256 -sigalgs ecdsa_secp256r1_sha256 -groups P-521 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp521r1,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1413,13 +1498,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_CHACHA20_POLY1305_SHA256,secp521r1,ecdsa_secp256r1_sha256" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --priority=NONE:+AEAD:+CHACHA20-POLY1305:+GROUP-SECP521R1:+SHA256:+SIGN-ECDSA-SECP256R1-SHA256:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp521r1,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1428,13 +1514,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_CHACHA20_POLY1305_SHA256,x25519,ecdsa_secp256r1_sha256" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -accept $SRV_PORT -ciphersuites TLS_CHACHA20_POLY1305_SHA256 -sigalgs ecdsa_secp256r1_sha256 -groups X25519 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x25519,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1445,13 +1532,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_CHACHA20_POLY1305_SHA256,x25519,ecdsa_secp256r1_sha256" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --priority=NONE:+AEAD:+CHACHA20-POLY1305:+GROUP-X25519:+SHA256:+SIGN-ECDSA-SECP256R1-SHA256:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x25519,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1460,13 +1548,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_CHACHA20_POLY1305_SHA256,x448,ecdsa_secp256r1_sha256" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -accept $SRV_PORT -ciphersuites TLS_CHACHA20_POLY1305_SHA256 -sigalgs ecdsa_secp256r1_sha256 -groups X448 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x448,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1477,13 +1566,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_CHACHA20_POLY1305_SHA256,x448,ecdsa_secp256r1_sha256" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --priority=NONE:+AEAD:+CHACHA20-POLY1305:+GROUP-X448:+SHA256:+SIGN-ECDSA-SECP256R1-SHA256:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x448,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1492,13 +1582,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_CHACHA20_POLY1305_SHA256,secp256r1,ecdsa_secp384r1_sha384" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -ciphersuites TLS_CHACHA20_POLY1305_SHA256 -sigalgs ecdsa_secp384r1_sha384 -groups P-256 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp256r1,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1509,13 +1600,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_CHACHA20_POLY1305_SHA256,secp256r1,ecdsa_secp384r1_sha384" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+AEAD:+CHACHA20-POLY1305:+GROUP-SECP256R1:+SHA256:+SIGN-ECDSA-SECP384R1-SHA384:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp256r1,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1527,10 +1619,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1544,10 +1637,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1556,13 +1650,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_CHACHA20_POLY1305_SHA256,secp521r1,ecdsa_secp384r1_sha384" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -ciphersuites TLS_CHACHA20_POLY1305_SHA256 -sigalgs ecdsa_secp384r1_sha384 -groups P-521 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp521r1,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1573,13 +1668,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_CHACHA20_POLY1305_SHA256,secp521r1,ecdsa_secp384r1_sha384" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+AEAD:+CHACHA20-POLY1305:+GROUP-SECP521R1:+SHA256:+SIGN-ECDSA-SECP384R1-SHA384:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp521r1,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1588,13 +1684,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_CHACHA20_POLY1305_SHA256,x25519,ecdsa_secp384r1_sha384" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -ciphersuites TLS_CHACHA20_POLY1305_SHA256 -sigalgs ecdsa_secp384r1_sha384 -groups X25519 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x25519,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1605,13 +1702,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_CHACHA20_POLY1305_SHA256,x25519,ecdsa_secp384r1_sha384" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+AEAD:+CHACHA20-POLY1305:+GROUP-X25519:+SHA256:+SIGN-ECDSA-SECP384R1-SHA384:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x25519,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1620,13 +1718,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_CHACHA20_POLY1305_SHA256,x448,ecdsa_secp384r1_sha384" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -ciphersuites TLS_CHACHA20_POLY1305_SHA256 -sigalgs ecdsa_secp384r1_sha384 -groups X448 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x448,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1637,13 +1736,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_CHACHA20_POLY1305_SHA256,x448,ecdsa_secp384r1_sha384" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+AEAD:+CHACHA20-POLY1305:+GROUP-X448:+SHA256:+SIGN-ECDSA-SECP384R1-SHA384:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x448,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1652,13 +1752,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_CHACHA20_POLY1305_SHA256,secp256r1,ecdsa_secp521r1_sha512" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -accept $SRV_PORT -ciphersuites TLS_CHACHA20_POLY1305_SHA256 -sigalgs ecdsa_secp521r1_sha512 -groups P-256 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp256r1,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1669,13 +1770,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_CHACHA20_POLY1305_SHA256,secp256r1,ecdsa_secp521r1_sha512" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --priority=NONE:+AEAD:+CHACHA20-POLY1305:+GROUP-SECP256R1:+SHA256:+SIGN-ECDSA-SECP521R1-SHA512:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp256r1,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1684,13 +1786,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_CHACHA20_POLY1305_SHA256,secp384r1,ecdsa_secp521r1_sha512" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -accept $SRV_PORT -ciphersuites TLS_CHACHA20_POLY1305_SHA256 -sigalgs ecdsa_secp521r1_sha512 -groups P-384 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp384r1,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1701,13 +1804,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_CHACHA20_POLY1305_SHA256,secp384r1,ecdsa_secp521r1_sha512" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --priority=NONE:+AEAD:+CHACHA20-POLY1305:+GROUP-SECP384R1:+SHA256:+SIGN-ECDSA-SECP521R1-SHA512:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp384r1,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1719,10 +1823,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1736,10 +1841,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1748,13 +1854,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_CHACHA20_POLY1305_SHA256,x25519,ecdsa_secp521r1_sha512" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -accept $SRV_PORT -ciphersuites TLS_CHACHA20_POLY1305_SHA256 -sigalgs ecdsa_secp521r1_sha512 -groups X25519 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x25519,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1765,13 +1872,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_CHACHA20_POLY1305_SHA256,x25519,ecdsa_secp521r1_sha512" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --priority=NONE:+AEAD:+CHACHA20-POLY1305:+GROUP-X25519:+SHA256:+SIGN-ECDSA-SECP521R1-SHA512:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x25519,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1780,13 +1888,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_CHACHA20_POLY1305_SHA256,x448,ecdsa_secp521r1_sha512" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -accept $SRV_PORT -ciphersuites TLS_CHACHA20_POLY1305_SHA256 -sigalgs ecdsa_secp521r1_sha512 -groups X448 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x448,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1797,13 +1906,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_CHACHA20_POLY1305_SHA256,x448,ecdsa_secp521r1_sha512" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --priority=NONE:+AEAD:+CHACHA20-POLY1305:+GROUP-X448:+SHA256:+SIGN-ECDSA-SECP521R1-SHA512:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x448,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1816,10 +1926,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1834,10 +1945,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1850,10 +1962,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1868,10 +1981,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1884,10 +1998,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1902,10 +2017,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1918,10 +2034,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1936,10 +2053,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1952,10 +2070,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1970,10 +2089,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1985,10 +2105,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2002,10 +2123,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2014,13 +2136,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_SHA256,secp384r1,ecdsa_secp256r1_sha256" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_SHA256 -sigalgs ecdsa_secp256r1_sha256 -groups P-384 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp384r1,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2031,13 +2154,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_SHA256,secp384r1,ecdsa_secp256r1_sha256" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --priority=NONE:+AEAD:+AES-128-CCM:+GROUP-SECP384R1:+SHA256:+SIGN-ECDSA-SECP256R1-SHA256:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp384r1,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2046,13 +2170,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_SHA256,secp521r1,ecdsa_secp256r1_sha256" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_SHA256 -sigalgs ecdsa_secp256r1_sha256 -groups P-521 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp521r1,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2063,13 +2188,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_SHA256,secp521r1,ecdsa_secp256r1_sha256" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --priority=NONE:+AEAD:+AES-128-CCM:+GROUP-SECP521R1:+SHA256:+SIGN-ECDSA-SECP256R1-SHA256:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp521r1,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2078,13 +2204,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_SHA256,x25519,ecdsa_secp256r1_sha256" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_SHA256 -sigalgs ecdsa_secp256r1_sha256 -groups X25519 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x25519,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2095,13 +2222,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_SHA256,x25519,ecdsa_secp256r1_sha256" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --priority=NONE:+AEAD:+AES-128-CCM:+GROUP-X25519:+SHA256:+SIGN-ECDSA-SECP256R1-SHA256:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x25519,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2110,13 +2238,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_SHA256,x448,ecdsa_secp256r1_sha256" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_SHA256 -sigalgs ecdsa_secp256r1_sha256 -groups X448 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x448,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2127,13 +2256,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_SHA256,x448,ecdsa_secp256r1_sha256" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --priority=NONE:+AEAD:+AES-128-CCM:+GROUP-X448:+SHA256:+SIGN-ECDSA-SECP256R1-SHA256:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x448,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2142,13 +2272,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_SHA256,secp256r1,ecdsa_secp384r1_sha384" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_SHA256 -sigalgs ecdsa_secp384r1_sha384 -groups P-256 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp256r1,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2159,13 +2290,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_SHA256,secp256r1,ecdsa_secp384r1_sha384" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+AEAD:+AES-128-CCM:+GROUP-SECP256R1:+SHA256:+SIGN-ECDSA-SECP384R1-SHA384:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp256r1,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2177,10 +2309,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2194,10 +2327,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2206,13 +2340,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_SHA256,secp521r1,ecdsa_secp384r1_sha384" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_SHA256 -sigalgs ecdsa_secp384r1_sha384 -groups P-521 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp521r1,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2223,13 +2358,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_SHA256,secp521r1,ecdsa_secp384r1_sha384" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+AEAD:+AES-128-CCM:+GROUP-SECP521R1:+SHA256:+SIGN-ECDSA-SECP384R1-SHA384:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp521r1,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2238,13 +2374,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_SHA256,x25519,ecdsa_secp384r1_sha384" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_SHA256 -sigalgs ecdsa_secp384r1_sha384 -groups X25519 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x25519,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2255,13 +2392,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_SHA256,x25519,ecdsa_secp384r1_sha384" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+AEAD:+AES-128-CCM:+GROUP-X25519:+SHA256:+SIGN-ECDSA-SECP384R1-SHA384:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x25519,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2270,13 +2408,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_SHA256,x448,ecdsa_secp384r1_sha384" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_SHA256 -sigalgs ecdsa_secp384r1_sha384 -groups X448 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x448,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2287,13 +2426,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_SHA256,x448,ecdsa_secp384r1_sha384" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+AEAD:+AES-128-CCM:+GROUP-X448:+SHA256:+SIGN-ECDSA-SECP384R1-SHA384:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x448,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2302,13 +2442,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_SHA256,secp256r1,ecdsa_secp521r1_sha512" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_SHA256 -sigalgs ecdsa_secp521r1_sha512 -groups P-256 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp256r1,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2319,13 +2460,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_SHA256,secp256r1,ecdsa_secp521r1_sha512" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --priority=NONE:+AEAD:+AES-128-CCM:+GROUP-SECP256R1:+SHA256:+SIGN-ECDSA-SECP521R1-SHA512:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp256r1,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2334,13 +2476,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_SHA256,secp384r1,ecdsa_secp521r1_sha512" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_SHA256 -sigalgs ecdsa_secp521r1_sha512 -groups P-384 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp384r1,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2351,13 +2494,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_SHA256,secp384r1,ecdsa_secp521r1_sha512" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --priority=NONE:+AEAD:+AES-128-CCM:+GROUP-SECP384R1:+SHA256:+SIGN-ECDSA-SECP521R1-SHA512:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp384r1,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2369,10 +2513,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2386,10 +2531,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2398,13 +2544,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_SHA256,x25519,ecdsa_secp521r1_sha512" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_SHA256 -sigalgs ecdsa_secp521r1_sha512 -groups X25519 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x25519,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2415,13 +2562,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_SHA256,x25519,ecdsa_secp521r1_sha512" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --priority=NONE:+AEAD:+AES-128-CCM:+GROUP-X25519:+SHA256:+SIGN-ECDSA-SECP521R1-SHA512:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x25519,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2430,13 +2578,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_SHA256,x448,ecdsa_secp521r1_sha512" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_SHA256 -sigalgs ecdsa_secp521r1_sha512 -groups X448 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x448,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2447,13 +2596,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_SHA256,x448,ecdsa_secp521r1_sha512" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --priority=NONE:+AEAD:+AES-128-CCM:+GROUP-X448:+SHA256:+SIGN-ECDSA-SECP521R1-SHA512:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x448,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2466,10 +2616,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2484,10 +2635,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2500,10 +2652,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2518,10 +2671,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2534,10 +2688,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2552,10 +2707,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2568,10 +2724,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2586,10 +2743,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2602,10 +2760,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2620,10 +2779,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2635,10 +2795,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2652,10 +2813,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2664,13 +2826,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_8_SHA256,secp384r1,ecdsa_secp256r1_sha256" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_8_SHA256 -sigalgs ecdsa_secp256r1_sha256 -groups P-384 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp384r1,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2681,13 +2844,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_8_SHA256,secp384r1,ecdsa_secp256r1_sha256" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --priority=NONE:+AEAD:+AES-128-CCM-8:+GROUP-SECP384R1:+SHA256:+SIGN-ECDSA-SECP256R1-SHA256:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp384r1,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2696,13 +2860,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_8_SHA256,secp521r1,ecdsa_secp256r1_sha256" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_8_SHA256 -sigalgs ecdsa_secp256r1_sha256 -groups P-521 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp521r1,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2713,13 +2878,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_8_SHA256,secp521r1,ecdsa_secp256r1_sha256" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --priority=NONE:+AEAD:+AES-128-CCM-8:+GROUP-SECP521R1:+SHA256:+SIGN-ECDSA-SECP256R1-SHA256:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp521r1,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2728,13 +2894,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_8_SHA256,x25519,ecdsa_secp256r1_sha256" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_8_SHA256 -sigalgs ecdsa_secp256r1_sha256 -groups X25519 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x25519,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2745,13 +2912,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_8_SHA256,x25519,ecdsa_secp256r1_sha256" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --priority=NONE:+AEAD:+AES-128-CCM-8:+GROUP-X25519:+SHA256:+SIGN-ECDSA-SECP256R1-SHA256:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x25519,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2760,13 +2928,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_8_SHA256,x448,ecdsa_secp256r1_sha256" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_8_SHA256 -sigalgs ecdsa_secp256r1_sha256 -groups X448 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x448,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2777,13 +2946,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_8_SHA256,x448,ecdsa_secp256r1_sha256" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --priority=NONE:+AEAD:+AES-128-CCM-8:+GROUP-X448:+SHA256:+SIGN-ECDSA-SECP256R1-SHA256:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x448,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2792,13 +2962,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_8_SHA256,secp256r1,ecdsa_secp384r1_sha384" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_8_SHA256 -sigalgs ecdsa_secp384r1_sha384 -groups P-256 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp256r1,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2809,13 +2980,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_8_SHA256,secp256r1,ecdsa_secp384r1_sha384" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+AEAD:+AES-128-CCM-8:+GROUP-SECP256R1:+SHA256:+SIGN-ECDSA-SECP384R1-SHA384:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp256r1,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2827,10 +2999,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2844,10 +3017,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2856,13 +3030,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_8_SHA256,secp521r1,ecdsa_secp384r1_sha384" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_8_SHA256 -sigalgs ecdsa_secp384r1_sha384 -groups P-521 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp521r1,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2873,13 +3048,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_8_SHA256,secp521r1,ecdsa_secp384r1_sha384" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+AEAD:+AES-128-CCM-8:+GROUP-SECP521R1:+SHA256:+SIGN-ECDSA-SECP384R1-SHA384:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp521r1,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2888,13 +3064,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_8_SHA256,x25519,ecdsa_secp384r1_sha384" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_8_SHA256 -sigalgs ecdsa_secp384r1_sha384 -groups X25519 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x25519,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2905,13 +3082,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_8_SHA256,x25519,ecdsa_secp384r1_sha384" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+AEAD:+AES-128-CCM-8:+GROUP-X25519:+SHA256:+SIGN-ECDSA-SECP384R1-SHA384:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x25519,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2920,13 +3098,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_8_SHA256,x448,ecdsa_secp384r1_sha384" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_8_SHA256 -sigalgs ecdsa_secp384r1_sha384 -groups X448 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x448,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2937,13 +3116,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_8_SHA256,x448,ecdsa_secp384r1_sha384" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+AEAD:+AES-128-CCM-8:+GROUP-X448:+SHA256:+SIGN-ECDSA-SECP384R1-SHA384:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x448,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2952,13 +3132,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_8_SHA256,secp256r1,ecdsa_secp521r1_sha512" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_8_SHA256 -sigalgs ecdsa_secp521r1_sha512 -groups P-256 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp256r1,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2969,13 +3150,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_8_SHA256,secp256r1,ecdsa_secp521r1_sha512" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --priority=NONE:+AEAD:+AES-128-CCM-8:+GROUP-SECP256R1:+SHA256:+SIGN-ECDSA-SECP521R1-SHA512:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp256r1,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2984,13 +3166,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_8_SHA256,secp384r1,ecdsa_secp521r1_sha512" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_8_SHA256 -sigalgs ecdsa_secp521r1_sha512 -groups P-384 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp384r1,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -3001,13 +3184,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_8_SHA256,secp384r1,ecdsa_secp521r1_sha512" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --priority=NONE:+AEAD:+AES-128-CCM-8:+GROUP-SECP384R1:+SHA256:+SIGN-ECDSA-SECP521R1-SHA512:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp384r1,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -3019,10 +3203,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -3036,10 +3221,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -3048,13 +3234,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_8_SHA256,x25519,ecdsa_secp521r1_sha512" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_8_SHA256 -sigalgs ecdsa_secp521r1_sha512 -groups X25519 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x25519,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -3065,13 +3252,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_8_SHA256,x25519,ecdsa_secp521r1_sha512" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --priority=NONE:+AEAD:+AES-128-CCM-8:+GROUP-X25519:+SHA256:+SIGN-ECDSA-SECP521R1-SHA512:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x25519,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -3080,13 +3268,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_8_SHA256,x448,ecdsa_secp521r1_sha512" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_8_SHA256 -sigalgs ecdsa_secp521r1_sha512 -groups X448 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x448,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -3097,13 +3286,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_8_SHA256,x448,ecdsa_secp521r1_sha512" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --priority=NONE:+AEAD:+AES-128-CCM-8:+GROUP-X448:+SHA256:+SIGN-ECDSA-SECP521R1-SHA512:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x448,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -3116,10 +3306,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -3134,10 +3325,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -3150,10 +3342,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -3168,10 +3361,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -3184,10 +3378,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -3202,10 +3397,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -3218,10 +3414,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -3236,10 +3433,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -3252,10 +3450,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -3270,7 +3469,8 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"