new autogenerated files

455 files changed, 8904 insertions, 0 deletions

diff --git a/src/Specific/CurveParameters/montgomery32_2e127m1_4limbs.json b/src/Specific/CurveParameters/montgomery32_2e127m1_4limbs.json
new file mode 100644
index 000000000..715e0bc39
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e127m1_4limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='16' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<127) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='16' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<127) - 1'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^127 - 1",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e129m25_5limbs.json b/src/Specific/CurveParameters/montgomery32_2e129m25_5limbs.json
new file mode 100644
index 000000000..f8ae5eb06
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e129m25_5limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<129) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<129) - 25'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^129 - 25",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "5"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e130m5_5limbs.json b/src/Specific/CurveParameters/montgomery32_2e130m5_5limbs.json
new file mode 100644
index 000000000..6e0f47327
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e130m5_5limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<130) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<130) - 5'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^130 - 5",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "5"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e137m13_5limbs.json b/src/Specific/CurveParameters/montgomery32_2e137m13_5limbs.json
new file mode 100644
index 000000000..4d312b8fa
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e137m13_5limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf3}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<137) - 13'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf3}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<137) - 13'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^137 - 13",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "5"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e140m27_5limbs.json b/src/Specific/CurveParameters/montgomery32_2e140m27_5limbs.json
new file mode 100644
index 000000000..150fa013f
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e140m27_5limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<140) - 27'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<140) - 27'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^140 - 27",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "5"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e141m9_5limbs.json b/src/Specific/CurveParameters/montgomery32_2e141m9_5limbs.json
new file mode 100644
index 000000000..a4ae14575
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e141m9_5limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<141) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<141) - 9'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^141 - 9",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "5"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e150m3_5limbs.json b/src/Specific/CurveParameters/montgomery32_2e150m3_5limbs.json
new file mode 100644
index 000000000..622102aaf
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e150m3_5limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<150) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<150) - 3'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^150 - 3",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "5"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e150m5_5limbs.json b/src/Specific/CurveParameters/montgomery32_2e150m5_5limbs.json
new file mode 100644
index 000000000..e30fac367
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e150m5_5limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<150) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<150) - 5'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^150 - 5",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "5"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e152m17_5limbs.json b/src/Specific/CurveParameters/montgomery32_2e152m17_5limbs.json
new file mode 100644
index 000000000..df812a98c
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e152m17_5limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<152) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<152) - 17'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^152 - 17",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "5"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e158m15_5limbs.json b/src/Specific/CurveParameters/montgomery32_2e158m15_5limbs.json
new file mode 100644
index 000000000..3589a75f1
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e158m15_5limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='20' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<158) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='20' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<158) - 15'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^158 - 15",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "5"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e165m25_6limbs.json b/src/Specific/CurveParameters/montgomery32_2e165m25_6limbs.json
new file mode 100644
index 000000000..062897823
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e165m25_6limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<165) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<165) - 25'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^165 - 25",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e166m5_6limbs.json b/src/Specific/CurveParameters/montgomery32_2e166m5_6limbs.json
new file mode 100644
index 000000000..cf122fa0b
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e166m5_6limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<166) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<166) - 5'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^166 - 5",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e171m19_6limbs.json b/src/Specific/CurveParameters/montgomery32_2e171m19_6limbs.json
new file mode 100644
index 000000000..4e692dddd
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e171m19_6limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<171) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<171) - 19'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^171 - 19",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e174m17_6limbs.json b/src/Specific/CurveParameters/montgomery32_2e174m17_6limbs.json
new file mode 100644
index 000000000..5a727b10b
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e174m17_6limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<174) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<174) - 17'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^174 - 17",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e174m3_6limbs.json b/src/Specific/CurveParameters/montgomery32_2e174m3_6limbs.json
new file mode 100644
index 000000000..4854948c3
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e174m3_6limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<174) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<174) - 3'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^174 - 3",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e189m25_6limbs.json b/src/Specific/CurveParameters/montgomery32_2e189m25_6limbs.json
new file mode 100644
index 000000000..776486213
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e189m25_6limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<189) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<189) - 25'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^189 - 25",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e190m11_6limbs.json b/src/Specific/CurveParameters/montgomery32_2e190m11_6limbs.json
new file mode 100644
index 000000000..df9f8b4be
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e190m11_6limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf5}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<190) - 11'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf5}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<190) - 11'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^190 - 11",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e191m19_6limbs.json b/src/Specific/CurveParameters/montgomery32_2e191m19_6limbs.json
new file mode 100644
index 000000000..9931cab8e
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e191m19_6limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<191) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<191) - 19'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^191 - 19",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e192m2e64m1_6limbs.json b/src/Specific/CurveParameters/montgomery32_2e192m2e64m1_6limbs.json
new file mode 100644
index 000000000..41841c274
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e192m2e64m1_6limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<192) - (1_mpz<<64) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<192) - (1_mpz<<64) - 1'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^192 - 2^64 - 1",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e194m33_7limbs.json b/src/Specific/CurveParameters/montgomery32_2e194m33_7limbs.json
new file mode 100644
index 000000000..dd12b8dcc
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e194m33_7limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xdf}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<194) - 33'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xdf}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<194) - 33'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^194 - 33",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e196m15_7limbs.json b/src/Specific/CurveParameters/montgomery32_2e196m15_7limbs.json
new file mode 100644
index 000000000..99d685852
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e196m15_7limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<196) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<196) - 15'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^196 - 15",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e198m17_7limbs.json b/src/Specific/CurveParameters/montgomery32_2e198m17_7limbs.json
new file mode 100644
index 000000000..5e79ade92
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e198m17_7limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<198) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<198) - 17'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^198 - 17",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e205m45x2e198m1_7limbs.json b/src/Specific/CurveParameters/montgomery32_2e205m45x2e198m1_7limbs.json
new file mode 100644
index 000000000..3741f2005
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e205m45x2e198m1_7limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x14,0xbf,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<205) - 45*(1_mpz<<198) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x14,0xbf,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<205) - 45*(1_mpz<<198) - 1'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^205 - 45*2^198 - 1",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e206m5_7limbs.json b/src/Specific/CurveParameters/montgomery32_2e206m5_7limbs.json
new file mode 100644
index 000000000..024d82a8e
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e206m5_7limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<206) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<206) - 5'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^206 - 5",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e212m29_7limbs.json b/src/Specific/CurveParameters/montgomery32_2e212m29_7limbs.json
new file mode 100644
index 000000000..2a8d9e871
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e212m29_7limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe3}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<212) - 29'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe3}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<212) - 29'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^212 - 29",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e213m3_7limbs.json b/src/Specific/CurveParameters/montgomery32_2e213m3_7limbs.json
new file mode 100644
index 000000000..fff94df3c
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e213m3_7limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<213) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<213) - 3'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^213 - 3",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e216m2e108m1_7limbs.json b/src/Specific/CurveParameters/montgomery32_2e216m2e108m1_7limbs.json
new file mode 100644
index 000000000..a15dfcce5
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e216m2e108m1_7limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<216) - (1_mpz<<108) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<216) - (1_mpz<<108) - 1'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^216 - 2^108 - 1",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e221m3_7limbs.json b/src/Specific/CurveParameters/montgomery32_2e221m3_7limbs.json
new file mode 100644
index 000000000..90a6b268d
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e221m3_7limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<221) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<221) - 3'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^221 - 3",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e222m117_7limbs.json b/src/Specific/CurveParameters/montgomery32_2e222m117_7limbs.json
new file mode 100644
index 000000000..d0bc78f18
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e222m117_7limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x8b}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<222) - 117'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x8b}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<222) - 117'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^222 - 117",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e224m2e96p1_7limbs.json b/src/Specific/CurveParameters/montgomery32_2e224m2e96p1_7limbs.json
new file mode 100644
index 000000000..0565a6206
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e224m2e96p1_7limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<224) - (1_mpz<<96) + 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<224) - (1_mpz<<96) + 1'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^224 - 2^96 + 1",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e226m5_8limbs.json b/src/Specific/CurveParameters/montgomery32_2e226m5_8limbs.json
new file mode 100644
index 000000000..5c22c90d5
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e226m5_8limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<226) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<226) - 5'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^226 - 5",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e230m27_8limbs.json b/src/Specific/CurveParameters/montgomery32_2e230m27_8limbs.json
new file mode 100644
index 000000000..f9935cf75
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e230m27_8limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<230) - 27'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<230) - 27'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^230 - 27",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e235m15_8limbs.json b/src/Specific/CurveParameters/montgomery32_2e235m15_8limbs.json
new file mode 100644
index 000000000..2ec32a813
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e235m15_8limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='30' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<235) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='30' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<235) - 15'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^235 - 15",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e243m9_8limbs.json b/src/Specific/CurveParameters/montgomery32_2e243m9_8limbs.json
new file mode 100644
index 000000000..cc310f894
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e243m9_8limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='31' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<243) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='31' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<243) - 9'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^243 - 9",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e251m9_8limbs.json b/src/Specific/CurveParameters/montgomery32_2e251m9_8limbs.json
new file mode 100644
index 000000000..9c0b5fe49
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e251m9_8limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<251) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<251) - 9'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^251 - 9",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e254m127x2e240m1_8limbs.json b/src/Specific/CurveParameters/montgomery32_2e254m127x2e240m1_8limbs.json
new file mode 100644
index 000000000..c73c5500a
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e254m127x2e240m1_8limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0x80,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<254) - 127*(1_mpz<<240) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0x80,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<254) - 127*(1_mpz<<240) - 1'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^254 - 127*2^240 - 1",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e255m19_8limbs.json b/src/Specific/CurveParameters/montgomery32_2e255m19_8limbs.json
new file mode 100644
index 000000000..8fed08c6f
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e255m19_8limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<255) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<255) - 19'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^255 - 19",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e255m765_8limbs.json b/src/Specific/CurveParameters/montgomery32_2e255m765_8limbs.json
new file mode 100644
index 000000000..bcfc35fac
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e255m765_8limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0x03}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<255) - 765'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0x03}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<255) - 765'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^255 - 765",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e256m189_8limbs.json b/src/Specific/CurveParameters/montgomery32_2e256m189_8limbs.json
new file mode 100644
index 000000000..b3cb44f7c
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e256m189_8limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x43}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<256) - 189'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x43}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<256) - 189'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^256 - 189",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e256m2e224p2e192p2e96m1_8limbs.json b/src/Specific/CurveParameters/montgomery32_2e256m2e224p2e192p2e96m1_8limbs.json
new file mode 100644
index 000000000..bea3c7199
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e256m2e224p2e192p2e96m1_8limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<256) - (1_mpz<<224) + (1_mpz<<192) + (1_mpz<<96) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<256) - (1_mpz<<224) + (1_mpz<<192) + (1_mpz<<96) - 1'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^256 - 2^224 + 2^192 + 2^96 - 1",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e256m2e32m977_8limbs.json b/src/Specific/CurveParameters/montgomery32_2e256m2e32m977_8limbs.json
new file mode 100644
index 000000000..882492992
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e256m2e32m977_8limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<256) - (1_mpz<<32) - 977'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<256) - (1_mpz<<32) - 977'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^256 - 2^32 - 977",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e256m4294968273_8limbs.json b/src/Specific/CurveParameters/montgomery32_2e256m4294968273_8limbs.json
new file mode 100644
index 000000000..74b8b05ec
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e256m4294968273_8limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<256) - 4294968273'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<256) - 4294968273'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^256 - 4294968273",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e256m88x2e240m1_8limbs.json b/src/Specific/CurveParameters/montgomery32_2e256m88x2e240m1_8limbs.json
new file mode 100644
index 000000000..6789691fb
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e256m88x2e240m1_8limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xa7,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<256) - 88*(1_mpz<<240) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xa7,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<256) - 88*(1_mpz<<240) - 1'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^256 - 88*2^240 - 1",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e266m3_9limbs.json b/src/Specific/CurveParameters/montgomery32_2e266m3_9limbs.json
new file mode 100644
index 000000000..cf5436706
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e266m3_9limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='34' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<266) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='34' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<266) - 3'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^266 - 3",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "9"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e285m9_9limbs.json b/src/Specific/CurveParameters/montgomery32_2e285m9_9limbs.json
new file mode 100644
index 000000000..47b9e6bc0
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e285m9_9limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='36' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<285) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='36' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<285) - 9'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^285 - 9",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "9"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e291m19_10limbs.json b/src/Specific/CurveParameters/montgomery32_2e291m19_10limbs.json
new file mode 100644
index 000000000..767e0adc4
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e291m19_10limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='37' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<291) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='37' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<291) - 19'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^291 - 19",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "10"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e321m9_11limbs.json b/src/Specific/CurveParameters/montgomery32_2e321m9_11limbs.json
new file mode 100644
index 000000000..5e6eb8a37
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e321m9_11limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<321) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<321) - 9'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^321 - 9",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "11"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e322m2e161m1_11limbs.json b/src/Specific/CurveParameters/montgomery32_2e322m2e161m1_11limbs.json
new file mode 100644
index 000000000..a94238880
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e322m2e161m1_11limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<322) - (1_mpz<<161) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<322) - (1_mpz<<161) - 1'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^322 - 2^161 - 1",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "11"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e336m17_11limbs.json b/src/Specific/CurveParameters/montgomery32_2e336m17_11limbs.json
new file mode 100644
index 000000000..88cfa4f2b
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e336m17_11limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<336) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<336) - 17'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^336 - 17",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "11"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e336m3_11limbs.json b/src/Specific/CurveParameters/montgomery32_2e336m3_11limbs.json
new file mode 100644
index 000000000..56b37964f
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e336m3_11limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<336) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<336) - 3'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^336 - 3",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "11"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e338m15_11limbs.json b/src/Specific/CurveParameters/montgomery32_2e338m15_11limbs.json
new file mode 100644
index 000000000..43374b885
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e338m15_11limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='43' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<338) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='43' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<338) - 15'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^338 - 15",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "11"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e369m25_12limbs.json b/src/Specific/CurveParameters/montgomery32_2e369m25_12limbs.json
new file mode 100644
index 000000000..63c02bba5
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e369m25_12limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='47' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<369) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='47' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<369) - 25'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^369 - 25",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "12"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e379m19_12limbs.json b/src/Specific/CurveParameters/montgomery32_2e379m19_12limbs.json
new file mode 100644
index 000000000..6f01e104e
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e379m19_12limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<379) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<379) - 19'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^379 - 19",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "12"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e382m105_12limbs.json b/src/Specific/CurveParameters/montgomery32_2e382m105_12limbs.json
new file mode 100644
index 000000000..8fe75592b
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e382m105_12limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x97}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<382) - 105'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x97}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<382) - 105'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^382 - 105",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "12"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e383m187_12limbs.json b/src/Specific/CurveParameters/montgomery32_2e383m187_12limbs.json
new file mode 100644
index 000000000..72815f974
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e383m187_12limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<383) - 187'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<383) - 187'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^383 - 187",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "12"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e383m31_12limbs.json b/src/Specific/CurveParameters/montgomery32_2e383m31_12limbs.json
new file mode 100644
index 000000000..a7d30ba56
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e383m31_12limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<383) - 31'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<383) - 31'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^383 - 31",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "12"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e383m421_12limbs.json b/src/Specific/CurveParameters/montgomery32_2e383m421_12limbs.json
new file mode 100644
index 000000000..774f60f83
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e383m421_12limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x5b}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<383) - 421'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x5b}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<383) - 421'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^383 - 421",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "12"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e384m2e128m2e96p2e32m1_12limbs.json b/src/Specific/CurveParameters/montgomery32_2e384m2e128m2e96p2e32m1_12limbs.json
new file mode 100644
index 000000000..fb1576805
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e384m2e128m2e96p2e32m1_12limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<384) - (1_mpz<<128) - (1_mpz<<96) + (1_mpz<<32) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<384) - (1_mpz<<128) - (1_mpz<<96) + (1_mpz<<32) - 1'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^384 - 2^128 - 2^96 + 2^32 - 1",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "12"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e384m317_12limbs.json b/src/Specific/CurveParameters/montgomery32_2e384m317_12limbs.json
new file mode 100644
index 000000000..a3c43fb58
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e384m317_12limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xc3}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<384) - 317'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xc3}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<384) - 317'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^384 - 317",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "12"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e384m5x2e368m1_12limbs.json b/src/Specific/CurveParameters/montgomery32_2e384m5x2e368m1_12limbs.json
new file mode 100644
index 000000000..593857bc4
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e384m5x2e368m1_12limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xfa,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<384) - 5*(1_mpz<<368) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xfa,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<384) - 5*(1_mpz<<368) - 1'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^384 - 5*2^368 - 1",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "12"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e384m79x2e376m1_12limbs.json b/src/Specific/CurveParameters/montgomery32_2e384m79x2e376m1_12limbs.json
new file mode 100644
index 000000000..b8c34a292
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e384m79x2e376m1_12limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xb0,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<384) - 79*(1_mpz<<376) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xb0,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<384) - 79*(1_mpz<<376) - 1'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^384 - 79*2^376 - 1",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "12"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e389m21_13limbs.json b/src/Specific/CurveParameters/montgomery32_2e389m21_13limbs.json
new file mode 100644
index 000000000..12ee46c6b
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e389m21_13limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='49' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<389) - 21'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='49' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<389) - 21'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^389 - 21",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "13"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e401m31_13limbs.json b/src/Specific/CurveParameters/montgomery32_2e401m31_13limbs.json
new file mode 100644
index 000000000..1552b5164
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e401m31_13limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='51' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<401) - 31'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='51' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<401) - 31'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^401 - 31",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "13"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e413m21_13limbs.json b/src/Specific/CurveParameters/montgomery32_2e413m21_13limbs.json
new file mode 100644
index 000000000..c144177e2
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e413m21_13limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<413) - 21'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<413) - 21'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^413 - 21",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "13"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e414m17_13limbs.json b/src/Specific/CurveParameters/montgomery32_2e414m17_13limbs.json
new file mode 100644
index 000000000..2f1a18da8
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e414m17_13limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<414) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<414) - 17'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^414 - 17",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "13"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e416m2e208m1_13limbs.json b/src/Specific/CurveParameters/montgomery32_2e416m2e208m1_13limbs.json
new file mode 100644
index 000000000..801a3e2ff
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e416m2e208m1_13limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<416) - (1_mpz<<208) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<416) - (1_mpz<<208) - 1'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^416 - 2^208 - 1",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "13"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e444m17_14limbs.json b/src/Specific/CurveParameters/montgomery32_2e444m17_14limbs.json
new file mode 100644
index 000000000..015d0a2cf
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e444m17_14limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='14' -Dq_mpz='(1_mpz<<444) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='14' -Dq_mpz='(1_mpz<<444) - 17'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^444 - 17",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "14"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e448m2e224m1_14limbs.json b/src/Specific/CurveParameters/montgomery32_2e448m2e224m1_14limbs.json
new file mode 100644
index 000000000..3fee52180
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e448m2e224m1_14limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='14' -Dq_mpz='(1_mpz<<448) - (1_mpz<<224) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='14' -Dq_mpz='(1_mpz<<448) - (1_mpz<<224) - 1'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^448 - 2^224 - 1",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "14"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e450m2e225m1_15limbs.json b/src/Specific/CurveParameters/montgomery32_2e450m2e225m1_15limbs.json
new file mode 100644
index 000000000..a0b4960cf
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e450m2e225m1_15limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<450) - (1_mpz<<225) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<450) - (1_mpz<<225) - 1'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^450 - 2^225 - 1",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "15"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e452m3_15limbs.json b/src/Specific/CurveParameters/montgomery32_2e452m3_15limbs.json
new file mode 100644
index 000000000..1b4614542
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e452m3_15limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<452) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<452) - 3'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^452 - 3",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "15"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e468m17_15limbs.json b/src/Specific/CurveParameters/montgomery32_2e468m17_15limbs.json
new file mode 100644
index 000000000..20de05319
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e468m17_15limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='59' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<468) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='59' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<468) - 17'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^468 - 17",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "15"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e480m2e240m1_15limbs.json b/src/Specific/CurveParameters/montgomery32_2e480m2e240m1_15limbs.json
new file mode 100644
index 000000000..d0a19077d
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e480m2e240m1_15limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='60' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<480) - (1_mpz<<240) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='60' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<480) - (1_mpz<<240) - 1'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^480 - 2^240 - 1",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "15"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e488m17_16limbs.json b/src/Specific/CurveParameters/montgomery32_2e488m17_16limbs.json
new file mode 100644
index 000000000..c5ce86391
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e488m17_16limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='61' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<488) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='61' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<488) - 17'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^488 - 17",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "16"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e489m21_16limbs.json b/src/Specific/CurveParameters/montgomery32_2e489m21_16limbs.json
new file mode 100644
index 000000000..686c6eeff
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e489m21_16limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<489) - 21'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<489) - 21'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^489 - 21",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "16"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e495m31_16limbs.json b/src/Specific/CurveParameters/montgomery32_2e495m31_16limbs.json
new file mode 100644
index 000000000..675d0a99c
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e495m31_16limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<495) - 31'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<495) - 31'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^495 - 31",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "16"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e510m290x2e496m1_16limbs.json b/src/Specific/CurveParameters/montgomery32_2e510m290x2e496m1_16limbs.json
new file mode 100644
index 000000000..2b0f36835
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e510m290x2e496m1_16limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x3e,0xdd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<510) - 290*(1_mpz<<496) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x3e,0xdd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<510) - 290*(1_mpz<<496) - 1'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^510 - 290*2^496 - 1",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "16"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e511m187_16limbs.json b/src/Specific/CurveParameters/montgomery32_2e511m187_16limbs.json
new file mode 100644
index 000000000..bc7a6e360
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e511m187_16limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<511) - 187'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<511) - 187'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^511 - 187",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "16"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e511m481_16limbs.json b/src/Specific/CurveParameters/montgomery32_2e511m481_16limbs.json
new file mode 100644
index 000000000..0fd27b5cd
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e511m481_16limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x1f}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<511) - 481'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x1f}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<511) - 481'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^511 - 481",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "16"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e512m491x2e496m1_16limbs.json b/src/Specific/CurveParameters/montgomery32_2e512m491x2e496m1_16limbs.json
new file mode 100644
index 000000000..c0841b538
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e512m491x2e496m1_16limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xfe,0x14,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<512) - 491*(1_mpz<<496) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xfe,0x14,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<512) - 491*(1_mpz<<496) - 1'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^512 - 491*2^496 - 1",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "16"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e512m569_16limbs.json b/src/Specific/CurveParameters/montgomery32_2e512m569_16limbs.json
new file mode 100644
index 000000000..5d1a4c178
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e512m569_16limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xc7}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<512) - 569'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xc7}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<512) - 569'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^512 - 569",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "16"
+}
diff --git a/src/Specific/CurveParameters/montgomery32_2e521m1_17limbs.json b/src/Specific/CurveParameters/montgomery32_2e521m1_17limbs.json
new file mode 100644
index 000000000..afe519841
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery32_2e521m1_17limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "32",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='66' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<521) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='66' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<521) - 1'",
+    "extra_files": [
+        "montgomery32/fesquare.c"
+    ],
+    "modulus": "2^521 - 1",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "17"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e127m1_2limbs.json b/src/Specific/CurveParameters/montgomery64_2e127m1_2limbs.json
new file mode 100644
index 000000000..3577a4216
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e127m1_2limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='16' -Dmodulus_limbs='2' -Dq_mpz='(1_mpz<<127) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='16' -Dmodulus_limbs='2' -Dq_mpz='(1_mpz<<127) - 1'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^127 - 1",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "2"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e129m25_3limbs.json b/src/Specific/CurveParameters/montgomery64_2e129m25_3limbs.json
new file mode 100644
index 000000000..881e84c55
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e129m25_3limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<129) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<129) - 25'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^129 - 25",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "3"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e130m5_3limbs.json b/src/Specific/CurveParameters/montgomery64_2e130m5_3limbs.json
new file mode 100644
index 000000000..7b05780c8
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e130m5_3limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<130) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<130) - 5'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^130 - 5",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "3"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e137m13_3limbs.json b/src/Specific/CurveParameters/montgomery64_2e137m13_3limbs.json
new file mode 100644
index 000000000..0f8af0f70
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e137m13_3limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf3}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<137) - 13'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf3}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<137) - 13'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^137 - 13",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "3"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e140m27_3limbs.json b/src/Specific/CurveParameters/montgomery64_2e140m27_3limbs.json
new file mode 100644
index 000000000..dc26fe4d5
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e140m27_3limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<140) - 27'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<140) - 27'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^140 - 27",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "3"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e141m9_3limbs.json b/src/Specific/CurveParameters/montgomery64_2e141m9_3limbs.json
new file mode 100644
index 000000000..72556558a
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e141m9_3limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<141) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<141) - 9'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^141 - 9",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "3"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e150m3_3limbs.json b/src/Specific/CurveParameters/montgomery64_2e150m3_3limbs.json
new file mode 100644
index 000000000..f14bf963c
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e150m3_3limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<150) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<150) - 3'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^150 - 3",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "3"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e150m5_3limbs.json b/src/Specific/CurveParameters/montgomery64_2e150m5_3limbs.json
new file mode 100644
index 000000000..85ee3258a
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e150m5_3limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<150) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<150) - 5'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^150 - 5",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "3"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e152m17_3limbs.json b/src/Specific/CurveParameters/montgomery64_2e152m17_3limbs.json
new file mode 100644
index 000000000..0426c2e66
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e152m17_3limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<152) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<152) - 17'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^152 - 17",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "3"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e158m15_3limbs.json b/src/Specific/CurveParameters/montgomery64_2e158m15_3limbs.json
new file mode 100644
index 000000000..d1a0e4c74
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e158m15_3limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='20' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<158) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='20' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<158) - 15'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^158 - 15",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "3"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e165m25_3limbs.json b/src/Specific/CurveParameters/montgomery64_2e165m25_3limbs.json
new file mode 100644
index 000000000..55091960e
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e165m25_3limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<165) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<165) - 25'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^165 - 25",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "3"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e166m5_3limbs.json b/src/Specific/CurveParameters/montgomery64_2e166m5_3limbs.json
new file mode 100644
index 000000000..7d0afcf9c
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e166m5_3limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<166) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<166) - 5'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^166 - 5",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "3"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e171m19_3limbs.json b/src/Specific/CurveParameters/montgomery64_2e171m19_3limbs.json
new file mode 100644
index 000000000..69142990b
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e171m19_3limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<171) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<171) - 19'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^171 - 19",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "3"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e174m17_3limbs.json b/src/Specific/CurveParameters/montgomery64_2e174m17_3limbs.json
new file mode 100644
index 000000000..b2f6e7dfd
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e174m17_3limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<174) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<174) - 17'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^174 - 17",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "3"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e174m3_3limbs.json b/src/Specific/CurveParameters/montgomery64_2e174m3_3limbs.json
new file mode 100644
index 000000000..079868e6d
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e174m3_3limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<174) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<174) - 3'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^174 - 3",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "3"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e189m25_3limbs.json b/src/Specific/CurveParameters/montgomery64_2e189m25_3limbs.json
new file mode 100644
index 000000000..762157c84
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e189m25_3limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<189) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<189) - 25'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^189 - 25",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "3"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e190m11_3limbs.json b/src/Specific/CurveParameters/montgomery64_2e190m11_3limbs.json
new file mode 100644
index 000000000..e2883db59
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e190m11_3limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf5}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<190) - 11'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf5}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<190) - 11'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^190 - 11",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "3"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e191m19_3limbs.json b/src/Specific/CurveParameters/montgomery64_2e191m19_3limbs.json
new file mode 100644
index 000000000..8d84ebdd4
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e191m19_3limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<191) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<191) - 19'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^191 - 19",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "3"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e192m2e64m1_3limbs.json b/src/Specific/CurveParameters/montgomery64_2e192m2e64m1_3limbs.json
new file mode 100644
index 000000000..cb979dd5c
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e192m2e64m1_3limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<192) - (1_mpz<<64) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<192) - (1_mpz<<64) - 1'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^192 - 2^64 - 1",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "3"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e194m33_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e194m33_4limbs.json
new file mode 100644
index 000000000..8b35535e4
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e194m33_4limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xdf}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<194) - 33'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xdf}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<194) - 33'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^194 - 33",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e196m15_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e196m15_4limbs.json
new file mode 100644
index 000000000..eb3cecba9
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e196m15_4limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<196) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<196) - 15'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^196 - 15",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e198m17_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e198m17_4limbs.json
new file mode 100644
index 000000000..92f5bdd0b
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e198m17_4limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<198) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<198) - 17'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^198 - 17",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e205m45x2e198m1_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e205m45x2e198m1_4limbs.json
new file mode 100644
index 000000000..14108693f
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e205m45x2e198m1_4limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x14,0xbf,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<205) - 45*(1_mpz<<198) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x14,0xbf,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<205) - 45*(1_mpz<<198) - 1'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^205 - 45*2^198 - 1",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e206m5_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e206m5_4limbs.json
new file mode 100644
index 000000000..135cd95b2
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e206m5_4limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<206) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<206) - 5'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^206 - 5",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e212m29_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e212m29_4limbs.json
new file mode 100644
index 000000000..99afe3770
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e212m29_4limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe3}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<212) - 29'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe3}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<212) - 29'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^212 - 29",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e213m3_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e213m3_4limbs.json
new file mode 100644
index 000000000..5eb965483
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e213m3_4limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<213) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<213) - 3'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^213 - 3",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e216m2e108m1_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e216m2e108m1_4limbs.json
new file mode 100644
index 000000000..0748a5f84
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e216m2e108m1_4limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<216) - (1_mpz<<108) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<216) - (1_mpz<<108) - 1'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^216 - 2^108 - 1",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e221m3_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e221m3_4limbs.json
new file mode 100644
index 000000000..c7ece4d53
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e221m3_4limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<221) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<221) - 3'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^221 - 3",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e222m117_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e222m117_4limbs.json
new file mode 100644
index 000000000..ab302d0c0
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e222m117_4limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x8b}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<222) - 117'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x8b}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<222) - 117'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^222 - 117",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e224m2e96p1_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e224m2e96p1_4limbs.json
new file mode 100644
index 000000000..e14e9b3e1
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e224m2e96p1_4limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<224) - (1_mpz<<96) + 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<224) - (1_mpz<<96) + 1'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^224 - 2^96 + 1",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e226m5_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e226m5_4limbs.json
new file mode 100644
index 000000000..cd8d344fd
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e226m5_4limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<226) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<226) - 5'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^226 - 5",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e230m27_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e230m27_4limbs.json
new file mode 100644
index 000000000..1b1323b1e
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e230m27_4limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<230) - 27'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<230) - 27'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^230 - 27",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e235m15_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e235m15_4limbs.json
new file mode 100644
index 000000000..3b6445f96
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e235m15_4limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='30' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<235) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='30' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<235) - 15'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^235 - 15",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e243m9_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e243m9_4limbs.json
new file mode 100644
index 000000000..a2fdbc967
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e243m9_4limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='31' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<243) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='31' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<243) - 9'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^243 - 9",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e251m9_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e251m9_4limbs.json
new file mode 100644
index 000000000..50a8d3129
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e251m9_4limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<251) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<251) - 9'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^251 - 9",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e254m127x2e240m1_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e254m127x2e240m1_4limbs.json
new file mode 100644
index 000000000..0d454decd
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e254m127x2e240m1_4limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x3f,0x80,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<254) - 127*(1_mpz<<240) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x3f,0x80,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<254) - 127*(1_mpz<<240) - 1'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^254 - 127*2^240 - 1",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e255m19_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e255m19_4limbs.json
new file mode 100644
index 000000000..499367e95
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e255m19_4limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<255) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<255) - 19'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^255 - 19",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e255m765_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e255m765_4limbs.json
new file mode 100644
index 000000000..5c3930407
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e255m765_4limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0x03}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<255) - 765'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0x03}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<255) - 765'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^255 - 765",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e256m189_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e256m189_4limbs.json
new file mode 100644
index 000000000..f38640d64
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e256m189_4limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x43}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<256) - 189'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x43}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<256) - 189'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^256 - 189",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e256m2e224p2e192p2e96m1_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e256m2e224p2e192p2e96m1_4limbs.json
new file mode 100644
index 000000000..844c898fa
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e256m2e224p2e192p2e96m1_4limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<256) - (1_mpz<<224) + (1_mpz<<192) + (1_mpz<<96) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<256) - (1_mpz<<224) + (1_mpz<<192) + (1_mpz<<96) - 1'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^256 - 2^224 + 2^192 + 2^96 - 1",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e256m2e32m977_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e256m2e32m977_4limbs.json
new file mode 100644
index 000000000..fba20abdb
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e256m2e32m977_4limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<256) - (1_mpz<<32) - 977'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<256) - (1_mpz<<32) - 977'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^256 - 2^32 - 977",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e256m4294968273_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e256m4294968273_4limbs.json
new file mode 100644
index 000000000..67dd72b7c
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e256m4294968273_4limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<256) - 4294968273'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<256) - 4294968273'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^256 - 4294968273",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e256m88x2e240m1_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e256m88x2e240m1_4limbs.json
new file mode 100644
index 000000000..d375c8362
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e256m88x2e240m1_4limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0xff,0xa7,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<256) - 88*(1_mpz<<240) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0xff,0xa7,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<256) - 88*(1_mpz<<240) - 1'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^256 - 88*2^240 - 1",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e266m3_5limbs.json b/src/Specific/CurveParameters/montgomery64_2e266m3_5limbs.json
new file mode 100644
index 000000000..4fe494f90
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e266m3_5limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='34' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<266) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='34' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<266) - 3'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^266 - 3",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "5"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e285m9_5limbs.json b/src/Specific/CurveParameters/montgomery64_2e285m9_5limbs.json
new file mode 100644
index 000000000..78ae31131
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e285m9_5limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='36' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<285) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='36' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<285) - 9'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^285 - 9",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "5"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e291m19_5limbs.json b/src/Specific/CurveParameters/montgomery64_2e291m19_5limbs.json
new file mode 100644
index 000000000..eaec85246
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e291m19_5limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='37' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<291) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='37' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<291) - 19'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^291 - 19",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "5"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e321m9_6limbs.json b/src/Specific/CurveParameters/montgomery64_2e321m9_6limbs.json
new file mode 100644
index 000000000..80975bbd5
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e321m9_6limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<321) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<321) - 9'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^321 - 9",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e322m2e161m1_6limbs.json b/src/Specific/CurveParameters/montgomery64_2e322m2e161m1_6limbs.json
new file mode 100644
index 000000000..0e241e3f7
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e322m2e161m1_6limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<322) - (1_mpz<<161) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<322) - (1_mpz<<161) - 1'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^322 - 2^161 - 1",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e336m17_6limbs.json b/src/Specific/CurveParameters/montgomery64_2e336m17_6limbs.json
new file mode 100644
index 000000000..ffb49083a
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e336m17_6limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<336) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<336) - 17'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^336 - 17",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e336m3_6limbs.json b/src/Specific/CurveParameters/montgomery64_2e336m3_6limbs.json
new file mode 100644
index 000000000..019d375c6
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e336m3_6limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<336) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<336) - 3'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^336 - 3",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e338m15_6limbs.json b/src/Specific/CurveParameters/montgomery64_2e338m15_6limbs.json
new file mode 100644
index 000000000..d66020497
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e338m15_6limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='43' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<338) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='43' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<338) - 15'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^338 - 15",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e369m25_6limbs.json b/src/Specific/CurveParameters/montgomery64_2e369m25_6limbs.json
new file mode 100644
index 000000000..4c9878c93
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e369m25_6limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='47' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<369) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='47' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<369) - 25'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^369 - 25",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e379m19_6limbs.json b/src/Specific/CurveParameters/montgomery64_2e379m19_6limbs.json
new file mode 100644
index 000000000..64a7a4339
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e379m19_6limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<379) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<379) - 19'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^379 - 19",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e382m105_6limbs.json b/src/Specific/CurveParameters/montgomery64_2e382m105_6limbs.json
new file mode 100644
index 000000000..e1cefbf4e
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e382m105_6limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x97}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<382) - 105'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x97}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<382) - 105'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^382 - 105",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e383m187_6limbs.json b/src/Specific/CurveParameters/montgomery64_2e383m187_6limbs.json
new file mode 100644
index 000000000..6bd6f23f9
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e383m187_6limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<383) - 187'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<383) - 187'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^383 - 187",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e383m31_6limbs.json b/src/Specific/CurveParameters/montgomery64_2e383m31_6limbs.json
new file mode 100644
index 000000000..d384d6ae5
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e383m31_6limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<383) - 31'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<383) - 31'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^383 - 31",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e383m421_6limbs.json b/src/Specific/CurveParameters/montgomery64_2e383m421_6limbs.json
new file mode 100644
index 000000000..7493a8a2f
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e383m421_6limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x5b}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<383) - 421'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x5b}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<383) - 421'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^383 - 421",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e384m2e128m2e96p2e32m1_6limbs.json b/src/Specific/CurveParameters/montgomery64_2e384m2e128m2e96p2e32m1_6limbs.json
new file mode 100644
index 000000000..d79fcf2f7
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e384m2e128m2e96p2e32m1_6limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<384) - (1_mpz<<128) - (1_mpz<<96) + (1_mpz<<32) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<384) - (1_mpz<<128) - (1_mpz<<96) + (1_mpz<<32) - 1'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^384 - 2^128 - 2^96 + 2^32 - 1",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e384m317_6limbs.json b/src/Specific/CurveParameters/montgomery64_2e384m317_6limbs.json
new file mode 100644
index 000000000..366a69f3f
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e384m317_6limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xc3}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<384) - 317'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xc3}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<384) - 317'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^384 - 317",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e384m5x2e368m1_6limbs.json b/src/Specific/CurveParameters/montgomery64_2e384m5x2e368m1_6limbs.json
new file mode 100644
index 000000000..271c1854f
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e384m5x2e368m1_6limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xfa,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<384) - 5*(1_mpz<<368) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xfa,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<384) - 5*(1_mpz<<368) - 1'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^384 - 5*2^368 - 1",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e384m79x2e376m1_6limbs.json b/src/Specific/CurveParameters/montgomery64_2e384m79x2e376m1_6limbs.json
new file mode 100644
index 000000000..ea1faea78
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e384m79x2e376m1_6limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0xb0,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<384) - 79*(1_mpz<<376) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0xb0,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<384) - 79*(1_mpz<<376) - 1'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^384 - 79*2^376 - 1",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e389m21_7limbs.json b/src/Specific/CurveParameters/montgomery64_2e389m21_7limbs.json
new file mode 100644
index 000000000..18dda32d8
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e389m21_7limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='49' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<389) - 21'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='49' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<389) - 21'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^389 - 21",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e401m31_7limbs.json b/src/Specific/CurveParameters/montgomery64_2e401m31_7limbs.json
new file mode 100644
index 000000000..0ce32ed79
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e401m31_7limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='51' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<401) - 31'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='51' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<401) - 31'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^401 - 31",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e413m21_7limbs.json b/src/Specific/CurveParameters/montgomery64_2e413m21_7limbs.json
new file mode 100644
index 000000000..09be0c105
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e413m21_7limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<413) - 21'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<413) - 21'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^413 - 21",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e414m17_7limbs.json b/src/Specific/CurveParameters/montgomery64_2e414m17_7limbs.json
new file mode 100644
index 000000000..734277078
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e414m17_7limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<414) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<414) - 17'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^414 - 17",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e416m2e208m1_7limbs.json b/src/Specific/CurveParameters/montgomery64_2e416m2e208m1_7limbs.json
new file mode 100644
index 000000000..e31c2098f
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e416m2e208m1_7limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<416) - (1_mpz<<208) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<416) - (1_mpz<<208) - 1'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^416 - 2^208 - 1",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e444m17_7limbs.json b/src/Specific/CurveParameters/montgomery64_2e444m17_7limbs.json
new file mode 100644
index 000000000..b51e7aa81
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e444m17_7limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<444) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<444) - 17'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^444 - 17",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e448m2e224m1_7limbs.json b/src/Specific/CurveParameters/montgomery64_2e448m2e224m1_7limbs.json
new file mode 100644
index 000000000..475d77f40
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e448m2e224m1_7limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<448) - (1_mpz<<224) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<448) - (1_mpz<<224) - 1'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^448 - 2^224 - 1",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e450m2e225m1_8limbs.json b/src/Specific/CurveParameters/montgomery64_2e450m2e225m1_8limbs.json
new file mode 100644
index 000000000..a1b931fe6
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e450m2e225m1_8limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<450) - (1_mpz<<225) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<450) - (1_mpz<<225) - 1'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^450 - 2^225 - 1",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e452m3_8limbs.json b/src/Specific/CurveParameters/montgomery64_2e452m3_8limbs.json
new file mode 100644
index 000000000..f1c65f5d2
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e452m3_8limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<452) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<452) - 3'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^452 - 3",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e468m17_8limbs.json b/src/Specific/CurveParameters/montgomery64_2e468m17_8limbs.json
new file mode 100644
index 000000000..87cfcd1f7
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e468m17_8limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='59' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<468) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='59' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<468) - 17'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^468 - 17",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e480m2e240m1_8limbs.json b/src/Specific/CurveParameters/montgomery64_2e480m2e240m1_8limbs.json
new file mode 100644
index 000000000..e96cc2b6f
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e480m2e240m1_8limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='60' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<480) - (1_mpz<<240) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='60' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<480) - (1_mpz<<240) - 1'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^480 - 2^240 - 1",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e488m17_8limbs.json b/src/Specific/CurveParameters/montgomery64_2e488m17_8limbs.json
new file mode 100644
index 000000000..3d1845257
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e488m17_8limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='61' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<488) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='61' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<488) - 17'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^488 - 17",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e489m21_8limbs.json b/src/Specific/CurveParameters/montgomery64_2e489m21_8limbs.json
new file mode 100644
index 000000000..d4d747837
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e489m21_8limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<489) - 21'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<489) - 21'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^489 - 21",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e495m31_8limbs.json b/src/Specific/CurveParameters/montgomery64_2e495m31_8limbs.json
new file mode 100644
index 000000000..0563492ec
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e495m31_8limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<495) - 31'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<495) - 31'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^495 - 31",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e510m290x2e496m1_8limbs.json b/src/Specific/CurveParameters/montgomery64_2e510m290x2e496m1_8limbs.json
new file mode 100644
index 000000000..4f76cd99e
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e510m290x2e496m1_8limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x3e,0xdd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<510) - 290*(1_mpz<<496) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x3e,0xdd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<510) - 290*(1_mpz<<496) - 1'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^510 - 290*2^496 - 1",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e511m187_8limbs.json b/src/Specific/CurveParameters/montgomery64_2e511m187_8limbs.json
new file mode 100644
index 000000000..87c39de15
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e511m187_8limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<511) - 187'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<511) - 187'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^511 - 187",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e511m481_8limbs.json b/src/Specific/CurveParameters/montgomery64_2e511m481_8limbs.json
new file mode 100644
index 000000000..2cb97ccff
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e511m481_8limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x1f}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<511) - 481'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x1f}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<511) - 481'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^511 - 481",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e512m491x2e496m1_8limbs.json b/src/Specific/CurveParameters/montgomery64_2e512m491x2e496m1_8limbs.json
new file mode 100644
index 000000000..a305e0706
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e512m491x2e496m1_8limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0xfe,0x14,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<512) - 491*(1_mpz<<496) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0xfe,0x14,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<512) - 491*(1_mpz<<496) - 1'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^512 - 491*2^496 - 1",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e512m569_8limbs.json b/src/Specific/CurveParameters/montgomery64_2e512m569_8limbs.json
new file mode 100644
index 000000000..35c9c894f
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e512m569_8limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xc7}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<512) - 569'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xc7}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<512) - 569'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^512 - 569",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/montgomery64_2e521m1_9limbs.json b/src/Specific/CurveParameters/montgomery64_2e521m1_9limbs.json
new file mode 100644
index 000000000..49b5e9ab3
--- /dev/null
+++ b/src/Specific/CurveParameters/montgomery64_2e521m1_9limbs.json
@@ -0,0 +1,18 @@
+{
+    "base": "64",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='66' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<521) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='66' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<521) - 1'",
+    "extra_files": [
+        "montgomery64/fesquare.c"
+    ],
+    "modulus": "2^521 - 1",
+    "montgomery": true,
+    "operations": [
+        "fenz",
+        "feadd",
+        "femul",
+        "feopp",
+        "fesub"
+    ],
+    "sz": "9"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e127m1_5limbs.json b/src/Specific/CurveParameters/solinas32_2e127m1_5limbs.json
new file mode 100644
index 000000000..14f29955c
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e127m1_5limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "25.4",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,26,25,25}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='16' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<127) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,26,25,25}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='16' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<127) - 1'",
+    "modulus": "2^127 - 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "5"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e127m1_6limbs.json b/src/Specific/CurveParameters/solinas32_2e127m1_6limbs.json
new file mode 100644
index 000000000..e13e5988d
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e127m1_6limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "21 + 1/6",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,21,21,21}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='16' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<127) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,21,21,21}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='16' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<127) - 1'",
+    "modulus": "2^127 - 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e129m25_5limbs.json b/src/Specific/CurveParameters/solinas32_2e129m25_5limbs.json
new file mode 100644
index 000000000..1cb1dd069
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e129m25_5limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "25.8",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,25}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<129) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,25}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<129) - 25'",
+    "modulus": "2^129 - 25",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "5"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e129m25_6limbs.json b/src/Specific/CurveParameters/solinas32_2e129m25_6limbs.json
new file mode 100644
index 000000000..4f817cc39
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e129m25_6limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "21.5",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,22,21,22,21}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<129) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,22,21,22,21}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<129) - 25'",
+    "modulus": "2^129 - 25",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e130m5_5limbs.json b/src/Specific/CurveParameters/solinas32_2e130m5_5limbs.json
new file mode 100644
index 000000000..2b59eadea
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e130m5_5limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "26",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<130) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<130) - 5'",
+    "modulus": "2^130 - 5",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "5"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e130m5_6limbs.json b/src/Specific/CurveParameters/solinas32_2e130m5_6limbs.json
new file mode 100644
index 000000000..fc9f2485e
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e130m5_6limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "21 + 2/3",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,21,22,22,21}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<130) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,21,22,22,21}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<130) - 5'",
+    "modulus": "2^130 - 5",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e137m13_5limbs.json b/src/Specific/CurveParameters/solinas32_2e137m13_5limbs.json
new file mode 100644
index 000000000..e773216ea
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e137m13_5limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "27.4",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{28,27,28,27,27}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf3}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<137) - 13'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{28,27,28,27,27}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf3}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<137) - 13'",
+    "modulus": "2^137 - 13",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "5"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e137m13_6limbs.json b/src/Specific/CurveParameters/solinas32_2e137m13_6limbs.json
new file mode 100644
index 000000000..800be6c7f
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e137m13_6limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "22 + 5/6",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,23,23,23,22}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf3}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<137) - 13'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,23,23,23,22}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf3}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<137) - 13'",
+    "modulus": "2^137 - 13",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e140m27_6limbs.json b/src/Specific/CurveParameters/solinas32_2e140m27_6limbs.json
new file mode 100644
index 000000000..e334c5f9e
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e140m27_6limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "23 + 1/3",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,23,24,23,23}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<140) - 27'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,23,24,23,23}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<140) - 27'",
+    "modulus": "2^140 - 27",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e140m27_7limbs.json b/src/Specific/CurveParameters/solinas32_2e140m27_7limbs.json
new file mode 100644
index 000000000..a4fcb9ca2
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e140m27_7limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "20",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{20,20,20,20,20,20,20}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<140) - 27'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{20,20,20,20,20,20,20}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<140) - 27'",
+    "modulus": "2^140 - 27",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e141m9_6limbs.json b/src/Specific/CurveParameters/solinas32_2e141m9_6limbs.json
new file mode 100644
index 000000000..b6a87c90e
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e141m9_6limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "23.5",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,24,23,24,23}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<141) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,24,23,24,23}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<141) - 9'",
+    "modulus": "2^141 - 9",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e141m9_7limbs.json b/src/Specific/CurveParameters/solinas32_2e141m9_7limbs.json
new file mode 100644
index 000000000..e0f80a849
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e141m9_7limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "20 + 1/7",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{21,20,20,20,20,20,20}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<141) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{21,20,20,20,20,20,20}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<141) - 9'",
+    "modulus": "2^141 - 9",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e150m3_6limbs.json b/src/Specific/CurveParameters/solinas32_2e150m3_6limbs.json
new file mode 100644
index 000000000..49698efb0
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e150m3_6limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "25",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,25,25,25}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<150) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,25,25,25}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<150) - 3'",
+    "modulus": "2^150 - 3",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e150m3_7limbs.json b/src/Specific/CurveParameters/solinas32_2e150m3_7limbs.json
new file mode 100644
index 000000000..a979e51ed
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e150m3_7limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "21 + 3/7",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,22,21,22,21,21}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<150) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,22,21,22,21,21}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<150) - 3'",
+    "modulus": "2^150 - 3",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e150m5_6limbs.json b/src/Specific/CurveParameters/solinas32_2e150m5_6limbs.json
new file mode 100644
index 000000000..d7ba35351
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e150m5_6limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "25",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,25,25,25}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<150) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,25,25,25}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<150) - 5'",
+    "modulus": "2^150 - 5",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e150m5_7limbs.json b/src/Specific/CurveParameters/solinas32_2e150m5_7limbs.json
new file mode 100644
index 000000000..e5dec6d22
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e150m5_7limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "21 + 3/7",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,22,21,22,21,21}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<150) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,22,21,22,21,21}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<150) - 5'",
+    "modulus": "2^150 - 5",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e152m17_6limbs.json b/src/Specific/CurveParameters/solinas32_2e152m17_6limbs.json
new file mode 100644
index 000000000..fbb9d0926
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e152m17_6limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "25 + 1/3",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,25,26,25,25}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<152) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,25,26,25,25}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<152) - 17'",
+    "modulus": "2^152 - 17",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e152m17_7limbs.json b/src/Specific/CurveParameters/solinas32_2e152m17_7limbs.json
new file mode 100644
index 000000000..a73fe3988
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e152m17_7limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "21 + 5/7",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,22,21,22,22,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<152) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,22,21,22,22,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<152) - 17'",
+    "modulus": "2^152 - 17",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e158m15_6limbs.json b/src/Specific/CurveParameters/solinas32_2e158m15_6limbs.json
new file mode 100644
index 000000000..564d432e5
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e158m15_6limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "26 + 1/3",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,26,26,27,26,26}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='20' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<158) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,26,26,27,26,26}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='20' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<158) - 15'",
+    "modulus": "2^158 - 15",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e158m15_7limbs.json b/src/Specific/CurveParameters/solinas32_2e158m15_7limbs.json
new file mode 100644
index 000000000..f560c4161
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e158m15_7limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "22 + 4/7",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,22,23,22,23,22}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='20' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<158) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,22,23,22,23,22}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='20' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<158) - 15'",
+    "modulus": "2^158 - 15",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e165m25_7limbs.json b/src/Specific/CurveParameters/solinas32_2e165m25_7limbs.json
new file mode 100644
index 000000000..e294c8b71
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e165m25_7limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "23 + 4/7",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,23,24,23,24,23}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<165) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,23,24,23,24,23}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<165) - 25'",
+    "modulus": "2^165 - 25",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e165m25_8limbs.json b/src/Specific/CurveParameters/solinas32_2e165m25_8limbs.json
new file mode 100644
index 000000000..3f9ef1cbd
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e165m25_8limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "20.625",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{21,21,20,21,21,20,21,20}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<165) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{21,21,20,21,21,20,21,20}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<165) - 25'",
+    "modulus": "2^165 - 25",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e166m5_6limbs.json b/src/Specific/CurveParameters/solinas32_2e166m5_6limbs.json
new file mode 100644
index 000000000..ce84c0343
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e166m5_6limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "27 + 2/3",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{28,28,27,28,28,27}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<166) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{28,28,27,28,28,27}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<166) - 5'",
+    "modulus": "2^166 - 5",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e166m5_7limbs.json b/src/Specific/CurveParameters/solinas32_2e166m5_7limbs.json
new file mode 100644
index 000000000..20199690c
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e166m5_7limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "23 + 5/7",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,23,24,24,23}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<166) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,23,24,24,23}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<166) - 5'",
+    "modulus": "2^166 - 5",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e171m19_7limbs.json b/src/Specific/CurveParameters/solinas32_2e171m19_7limbs.json
new file mode 100644
index 000000000..92eb237dd
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e171m19_7limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "24 + 3/7",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,25,24,25,24,24}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<171) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,25,24,25,24,24}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<171) - 19'",
+    "modulus": "2^171 - 19",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e171m19_8limbs.json b/src/Specific/CurveParameters/solinas32_2e171m19_8limbs.json
new file mode 100644
index 000000000..e2f5ef5f3
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e171m19_8limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "21.375",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,22,21,21,22,21,21}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<171) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,22,21,21,22,21,21}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<171) - 19'",
+    "modulus": "2^171 - 19",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e174m17_7limbs.json b/src/Specific/CurveParameters/solinas32_2e174m17_7limbs.json
new file mode 100644
index 000000000..0feae0a7c
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e174m17_7limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "24 + 6/7",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,25,25,25,24}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<174) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,25,25,25,24}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<174) - 17'",
+    "modulus": "2^174 - 17",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e174m17_8limbs.json b/src/Specific/CurveParameters/solinas32_2e174m17_8limbs.json
new file mode 100644
index 000000000..9cbf3046d
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e174m17_8limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "21.75",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,22,21,22,22,22,21}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<174) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,22,21,22,22,22,21}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<174) - 17'",
+    "modulus": "2^174 - 17",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e174m3_7limbs.json b/src/Specific/CurveParameters/solinas32_2e174m3_7limbs.json
new file mode 100644
index 000000000..3dff58058
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e174m3_7limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "24 + 6/7",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,25,25,25,24}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<174) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,25,25,25,24}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<174) - 3'",
+    "modulus": "2^174 - 3",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e174m3_8limbs.json b/src/Specific/CurveParameters/solinas32_2e174m3_8limbs.json
new file mode 100644
index 000000000..327a2484e
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e174m3_8limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "21.75",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,22,21,22,22,22,21}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<174) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,22,21,22,22,22,21}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<174) - 3'",
+    "modulus": "2^174 - 3",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e189m25_7limbs.json b/src/Specific/CurveParameters/solinas32_2e189m25_7limbs.json
new file mode 100644
index 000000000..582585811
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e189m25_7limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "27",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,27,27,27,27,27}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<189) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,27,27,27,27,27}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<189) - 25'",
+    "modulus": "2^189 - 25",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e189m25_8limbs.json b/src/Specific/CurveParameters/solinas32_2e189m25_8limbs.json
new file mode 100644
index 000000000..00325f304
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e189m25_8limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "23.625",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,23,24,24,23,24,23}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<189) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,23,24,24,23,24,23}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<189) - 25'",
+    "modulus": "2^189 - 25",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e190m11_7limbs.json b/src/Specific/CurveParameters/solinas32_2e190m11_7limbs.json
new file mode 100644
index 000000000..6dea5db23
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e190m11_7limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "27 + 1/7",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{28,27,27,27,27,27,27}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf5}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<190) - 11'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{28,27,27,27,27,27,27}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf5}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<190) - 11'",
+    "modulus": "2^190 - 11",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e190m11_8limbs.json b/src/Specific/CurveParameters/solinas32_2e190m11_8limbs.json
new file mode 100644
index 000000000..045d85add
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e190m11_8limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "23.75",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,23,24,24,24,23}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf5}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<190) - 11'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,23,24,24,24,23}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf5}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<190) - 11'",
+    "modulus": "2^190 - 11",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e191m19_8limbs.json b/src/Specific/CurveParameters/solinas32_2e191m19_8limbs.json
new file mode 100644
index 000000000..6e5c1af9c
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e191m19_8limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "23.875",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,24,24,24,24,23}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<191) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,24,24,24,24,23}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<191) - 19'",
+    "modulus": "2^191 - 19",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e191m19_9limbs.json b/src/Specific/CurveParameters/solinas32_2e191m19_9limbs.json
new file mode 100644
index 000000000..995166faf
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e191m19_9limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "21 + 2/9",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,21,22,21,21,21,21}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<191) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,21,22,21,21,21,21}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<191) - 19'",
+    "modulus": "2^191 - 19",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "9"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e192m2e64m1_10limbs.json b/src/Specific/CurveParameters/solinas32_2e192m2e64m1_10limbs.json
new file mode 100644
index 000000000..d755eb9d8
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e192m2e64m1_10limbs.json
@@ -0,0 +1,38 @@
+{
+    "base": "19.2",
+    "bitwidth": 32,
+    "carry_chains": [
+        [
+            2,
+            9
+        ],
+        [
+            3,
+            0,
+            4,
+            1,
+            5,
+            2,
+            6,
+            7,
+            8,
+            9
+        ],
+        [
+            3,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{20,19,19,19,19,20,19,19,19,19}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<192) - (1_mpz<<64) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{20,19,19,19,19,20,19,19,19,19}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<192) - (1_mpz<<64) - 1'",
+    "modulus": "2^192 - 2^64 - 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "10"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e192m2e64m1_9limbs.json b/src/Specific/CurveParameters/solinas32_2e192m2e64m1_9limbs.json
new file mode 100644
index 000000000..20cf192e3
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e192m2e64m1_9limbs.json
@@ -0,0 +1,37 @@
+{
+    "base": "21 + 1/3",
+    "bitwidth": 32,
+    "carry_chains": [
+        [
+            2,
+            8
+        ],
+        [
+            3,
+            0,
+            4,
+            1,
+            5,
+            2,
+            6,
+            7,
+            8
+        ],
+        [
+            3,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<192) - (1_mpz<<64) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<192) - (1_mpz<<64) - 1'",
+    "modulus": "2^192 - 2^64 - 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "9"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e194m33_8limbs.json b/src/Specific/CurveParameters/solinas32_2e194m33_8limbs.json
new file mode 100644
index 000000000..12a2fb02a
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e194m33_8limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "24.25",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,24,24,25,24,24,24}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xdf}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<194) - 33'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,24,24,25,24,24,24}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xdf}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<194) - 33'",
+    "modulus": "2^194 - 33",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e194m33_9limbs.json b/src/Specific/CurveParameters/solinas32_2e194m33_9limbs.json
new file mode 100644
index 000000000..3e66a065e
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e194m33_9limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "21 + 5/9",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,21,22,21,22,21,22,21}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xdf}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<194) - 33'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,21,22,21,22,21,22,21}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xdf}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<194) - 33'",
+    "modulus": "2^194 - 33",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "9"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e196m15_8limbs.json b/src/Specific/CurveParameters/solinas32_2e196m15_8limbs.json
new file mode 100644
index 000000000..b85a2fc0d
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e196m15_8limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "24.5",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,25,24,25,24,25,24}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<196) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,25,24,25,24,25,24}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<196) - 15'",
+    "modulus": "2^196 - 15",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e196m15_9limbs.json b/src/Specific/CurveParameters/solinas32_2e196m15_9limbs.json
new file mode 100644
index 000000000..b5a8155b1
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e196m15_9limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "21 + 7/9",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,22,22,21,22,22,22,21}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<196) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,22,22,21,22,22,22,21}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<196) - 15'",
+    "modulus": "2^196 - 15",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "9"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e198m17_8limbs.json b/src/Specific/CurveParameters/solinas32_2e198m17_8limbs.json
new file mode 100644
index 000000000..1f4410c88
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e198m17_8limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "24.75",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,24,25,25,25,24}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<198) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,24,25,25,25,24}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<198) - 17'",
+    "modulus": "2^198 - 17",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e198m17_9limbs.json b/src/Specific/CurveParameters/solinas32_2e198m17_9limbs.json
new file mode 100644
index 000000000..1477daac7
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e198m17_9limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "22",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,22,22,22,22,22,22,22}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<198) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,22,22,22,22,22,22,22}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<198) - 17'",
+    "modulus": "2^198 - 17",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "9"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e206m5_8limbs.json b/src/Specific/CurveParameters/solinas32_2e206m5_8limbs.json
new file mode 100644
index 000000000..024757689
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e206m5_8limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "25.75",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,25,26,26,26,25}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<206) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,25,26,26,26,25}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<206) - 5'",
+    "modulus": "2^206 - 5",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e206m5_9limbs.json b/src/Specific/CurveParameters/solinas32_2e206m5_9limbs.json
new file mode 100644
index 000000000..e865b2c5a
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e206m5_9limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "22 + 8/9",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,23,23,23,23,23,23,22}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<206) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,23,23,23,23,23,23,22}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<206) - 5'",
+    "modulus": "2^206 - 5",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "9"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e212m29_8limbs.json b/src/Specific/CurveParameters/solinas32_2e212m29_8limbs.json
new file mode 100644
index 000000000..2595f7982
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e212m29_8limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "26.5",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,26,27,26,27,26,27,26}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe3}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<212) - 29'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,26,27,26,27,26,27,26}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe3}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<212) - 29'",
+    "modulus": "2^212 - 29",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e212m29_9limbs.json b/src/Specific/CurveParameters/solinas32_2e212m29_9limbs.json
new file mode 100644
index 000000000..854f9f5b6
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e212m29_9limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "23 + 5/9",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,23,24,23,24,23,24,23}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe3}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<212) - 29'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,23,24,23,24,23,24,23}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe3}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<212) - 29'",
+    "modulus": "2^212 - 29",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "9"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e213m3_8limbs.json b/src/Specific/CurveParameters/solinas32_2e213m3_8limbs.json
new file mode 100644
index 000000000..dc212ae18
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e213m3_8limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "26.625",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,26,27,27,26,27,26}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<213) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,26,27,27,26,27,26}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<213) - 3'",
+    "modulus": "2^213 - 3",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e213m3_9limbs.json b/src/Specific/CurveParameters/solinas32_2e213m3_9limbs.json
new file mode 100644
index 000000000..49ecc000e
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e213m3_9limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "23 + 2/3",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,23,24,24,23,24,24,23}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<213) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,23,24,24,23,24,24,23}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<213) - 3'",
+    "modulus": "2^213 - 3",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "9"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e216m2e108m1_10limbs.json b/src/Specific/CurveParameters/solinas32_2e216m2e108m1_10limbs.json
new file mode 100644
index 000000000..bc984e524
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e216m2e108m1_10limbs.json
@@ -0,0 +1,39 @@
+{
+    "base": "21.6",
+    "bitwidth": 32,
+    "carry_chains": [
+        [
+            4,
+            9
+        ],
+        [
+            5,
+            0,
+            6,
+            1,
+            7,
+            2,
+            8,
+            3,
+            9,
+            4
+        ],
+        [
+            5,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,21,22,21,22,22,21,22,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<216) - (1_mpz<<108) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,21,22,21,22,22,21,22,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<216) - (1_mpz<<108) - 1'",
+    "goldilocks": true,
+    "modulus": "2^216 - 2^108 - 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "10"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e216m2e108m1_8limbs.json b/src/Specific/CurveParameters/solinas32_2e216m2e108m1_8limbs.json
new file mode 100644
index 000000000..29163fbf7
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e216m2e108m1_8limbs.json
@@ -0,0 +1,37 @@
+{
+    "base": "27",
+    "bitwidth": 32,
+    "carry_chains": [
+        [
+            3,
+            7
+        ],
+        [
+            4,
+            0,
+            5,
+            1,
+            6,
+            2,
+            7,
+            3
+        ],
+        [
+            4,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,27,27,27,27,27,27}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<216) - (1_mpz<<108) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,27,27,27,27,27,27}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<216) - (1_mpz<<108) - 1'",
+    "goldilocks": true,
+    "modulus": "2^216 - 2^108 - 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e221m3_8limbs.json b/src/Specific/CurveParameters/solinas32_2e221m3_8limbs.json
new file mode 100644
index 000000000..1e2996386
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e221m3_8limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "27.625",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{28,28,27,28,28,27,28,27}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<221) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{28,28,27,28,28,27,28,27}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<221) - 3'",
+    "modulus": "2^221 - 3",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e221m3_9limbs.json b/src/Specific/CurveParameters/solinas32_2e221m3_9limbs.json
new file mode 100644
index 000000000..5dc8a4016
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e221m3_9limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "24 + 5/9",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,24,25,24,25,24,25,24}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<221) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,24,25,24,25,24,25,24}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<221) - 3'",
+    "modulus": "2^221 - 3",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "9"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e222m117_10limbs.json b/src/Specific/CurveParameters/solinas32_2e222m117_10limbs.json
new file mode 100644
index 000000000..26901762e
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e222m117_10limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "22.2",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,22,22,22,22,23,22,22,22,22}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x8b}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<222) - 117'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,22,22,22,22,23,22,22,22,22}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x8b}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<222) - 117'",
+    "modulus": "2^222 - 117",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "10"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e222m117_9limbs.json b/src/Specific/CurveParameters/solinas32_2e222m117_9limbs.json
new file mode 100644
index 000000000..09ce2209c
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e222m117_9limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "24 + 2/3",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,24,25,25,24,25,25,24}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x8b}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<222) - 117'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,24,25,25,24,25,25,24}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x8b}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<222) - 117'",
+    "modulus": "2^222 - 117",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "9"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e224m2e96p1_10limbs.json b/src/Specific/CurveParameters/solinas32_2e224m2e96p1_10limbs.json
new file mode 100644
index 000000000..193b1cb8f
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e224m2e96p1_10limbs.json
@@ -0,0 +1,38 @@
+{
+    "base": "22.4",
+    "bitwidth": 32,
+    "carry_chains": [
+        [
+            3,
+            9
+        ],
+        [
+            4,
+            0,
+            5,
+            1,
+            6,
+            2,
+            7,
+            3,
+            8,
+            9
+        ],
+        [
+            4,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,22,23,22,22,23,22,23,22,22}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<224) - (1_mpz<<96) + 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,22,23,22,22,23,22,23,22,22}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<224) - (1_mpz<<96) + 1'",
+    "modulus": "2^224 - 2^96 + 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "10"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e224m2e96p1_11limbs.json b/src/Specific/CurveParameters/solinas32_2e224m2e96p1_11limbs.json
new file mode 100644
index 000000000..536a0b5ed
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e224m2e96p1_11limbs.json
@@ -0,0 +1,39 @@
+{
+    "base": "20 + 4/11",
+    "bitwidth": 32,
+    "carry_chains": [
+        [
+            3,
+            10
+        ],
+        [
+            4,
+            0,
+            5,
+            1,
+            6,
+            2,
+            7,
+            3,
+            8,
+            9,
+            10
+        ],
+        [
+            4,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{21,20,21,20,20,21,20,20,21,20,20}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<224) - (1_mpz<<96) + 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{21,20,21,20,20,21,20,20,21,20,20}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<224) - (1_mpz<<96) + 1'",
+    "modulus": "2^224 - 2^96 + 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "11"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e226m5_10limbs.json b/src/Specific/CurveParameters/solinas32_2e226m5_10limbs.json
new file mode 100644
index 000000000..a74dc0db0
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e226m5_10limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "22.6",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,22,23,22,23,23,22,23,22}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<226) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,22,23,22,23,23,22,23,22}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<226) - 5'",
+    "modulus": "2^226 - 5",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "10"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e226m5_9limbs.json b/src/Specific/CurveParameters/solinas32_2e226m5_9limbs.json
new file mode 100644
index 000000000..8380d71ce
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e226m5_9limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "25 + 1/9",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,25,25,25,25,25,25,25}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<226) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,25,25,25,25,25,25,25}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<226) - 5'",
+    "modulus": "2^226 - 5",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "9"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e230m27_10limbs.json b/src/Specific/CurveParameters/solinas32_2e230m27_10limbs.json
new file mode 100644
index 000000000..3b9e87d2a
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e230m27_10limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "23",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,23,23,23,23,23,23,23,23}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<230) - 27'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,23,23,23,23,23,23,23,23}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<230) - 27'",
+    "modulus": "2^230 - 27",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "10"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e230m27_9limbs.json b/src/Specific/CurveParameters/solinas32_2e230m27_9limbs.json
new file mode 100644
index 000000000..22751ffe7
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e230m27_9limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "25 + 5/9",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,25,26,25,26,25,26,25}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<230) - 27'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,25,26,25,26,25,26,25}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<230) - 27'",
+    "modulus": "2^230 - 27",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "9"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e235m15_10limbs.json b/src/Specific/CurveParameters/solinas32_2e235m15_10limbs.json
new file mode 100644
index 000000000..351d1b199
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e235m15_10limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "23.5",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,24,23,24,23,24,23,24,23}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='30' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<235) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,24,23,24,23,24,23,24,23}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='30' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<235) - 15'",
+    "modulus": "2^235 - 15",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "10"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e235m15_9limbs.json b/src/Specific/CurveParameters/solinas32_2e235m15_9limbs.json
new file mode 100644
index 000000000..c3df1a41d
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e235m15_9limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "26 + 1/9",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,26,26,26,26,26,26,26,26}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='30' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<235) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,26,26,26,26,26,26,26,26}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='30' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<235) - 15'",
+    "modulus": "2^235 - 15",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "9"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e243m9_10limbs.json b/src/Specific/CurveParameters/solinas32_2e243m9_10limbs.json
new file mode 100644
index 000000000..6aee5cf6d
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e243m9_10limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "24.3",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,24,25,24,24,25,24,24,24}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='31' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<243) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,24,25,24,24,25,24,24,24}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='31' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<243) - 9'",
+    "modulus": "2^243 - 9",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "10"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e243m9_9limbs.json b/src/Specific/CurveParameters/solinas32_2e243m9_9limbs.json
new file mode 100644
index 000000000..2a1bad7ae
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e243m9_9limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "27",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,27,27,27,27,27,27,27}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='31' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<243) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,27,27,27,27,27,27,27}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='31' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<243) - 9'",
+    "modulus": "2^243 - 9",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "9"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e251m9_10limbs.json b/src/Specific/CurveParameters/solinas32_2e251m9_10limbs.json
new file mode 100644
index 000000000..935c4ac38
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e251m9_10limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "25.1",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,25,25,25,25,25,25,25,25}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<251) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,25,25,25,25,25,25,25,25}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<251) - 9'",
+    "modulus": "2^251 - 9",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "10"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e251m9_11limbs.json b/src/Specific/CurveParameters/solinas32_2e251m9_11limbs.json
new file mode 100644
index 000000000..40143cad7
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e251m9_11limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "22 + 9/11",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,23,23,23,22,23,23,23,23,22}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<251) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,23,23,23,22,23,23,23,23,22}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<251) - 9'",
+    "modulus": "2^251 - 9",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "11"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e255m19_10limbs.json b/src/Specific/CurveParameters/solinas32_2e255m19_10limbs.json
new file mode 100644
index 000000000..db664be0e
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e255m19_10limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "25.5",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,26,25,26,25,26,25,26,25}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<255) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,26,25,26,25,26,25,26,25}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<255) - 19'",
+    "modulus": "2^255 - 19",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "10"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e255m19_11limbs.json b/src/Specific/CurveParameters/solinas32_2e255m19_11limbs.json
new file mode 100644
index 000000000..83c6ed2e8
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e255m19_11limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "23 + 2/11",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,23,23,23,24,23,23,23,23,23}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<255) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,23,23,23,24,23,23,23,23,23}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<255) - 19'",
+    "modulus": "2^255 - 19",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "11"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e255m765_12limbs.json b/src/Specific/CurveParameters/solinas32_2e255m765_12limbs.json
new file mode 100644
index 000000000..db8955fce
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e255m765_12limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "21.25",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,21,22,21,21,21,22,21,21,21}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0x03}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<255) - 765'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,21,22,21,21,21,22,21,21,21}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0x03}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<255) - 765'",
+    "modulus": "2^255 - 765",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "12"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e255m765_13limbs.json b/src/Specific/CurveParameters/solinas32_2e255m765_13limbs.json
new file mode 100644
index 000000000..565cd962b
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e255m765_13limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "19 + 8/13",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{20,20,19,20,20,19,20,19,20,20,19,20,19}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0x03}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<255) - 765'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{20,20,19,20,20,19,20,19,20,20,19,20,19}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0x03}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<255) - 765'",
+    "modulus": "2^255 - 765",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "13"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e256m189_11limbs.json b/src/Specific/CurveParameters/solinas32_2e256m189_11limbs.json
new file mode 100644
index 000000000..03e239a2b
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e256m189_11limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "23 + 3/11",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,23,24,23,23,23,24,23,23,23}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x43}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<256) - 189'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,23,24,23,23,23,24,23,23,23}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x43}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<256) - 189'",
+    "modulus": "2^256 - 189",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "11"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e256m189_12limbs.json b/src/Specific/CurveParameters/solinas32_2e256m189_12limbs.json
new file mode 100644
index 000000000..fe78fad7a
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e256m189_12limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "21 + 1/3",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21,22,21,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x43}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<256) - 189'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21,22,21,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x43}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<256) - 189'",
+    "modulus": "2^256 - 189",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "12"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e256m2e224p2e192p2e96m1_11limbs.json b/src/Specific/CurveParameters/solinas32_2e256m2e224p2e192p2e96m1_11limbs.json
new file mode 100644
index 000000000..3b3f2c625
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e256m2e224p2e192p2e96m1_11limbs.json
@@ -0,0 +1,43 @@
+{
+    "base": "23 + 3/11",
+    "bitwidth": 32,
+    "carry_chains": [
+        [
+            8,
+            7,
+            3,
+            10
+        ],
+        [
+            9,
+            8,
+            4,
+            0,
+            10,
+            5,
+            1,
+            6,
+            2,
+            7,
+            3
+        ],
+        [
+            9,
+            8,
+            4,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,23,24,23,23,23,24,23,23,23}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<256) - (1_mpz<<224) + (1_mpz<<192) + (1_mpz<<96) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,23,24,23,23,23,24,23,23,23}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<256) - (1_mpz<<224) + (1_mpz<<192) + (1_mpz<<96) - 1'",
+    "modulus": "2^256 - 2^224 + 2^192 + 2^96 - 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "11"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e256m2e224p2e192p2e96m1_12limbs.json b/src/Specific/CurveParameters/solinas32_2e256m2e224p2e192p2e96m1_12limbs.json
new file mode 100644
index 000000000..e46eeba3e
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e256m2e224p2e192p2e96m1_12limbs.json
@@ -0,0 +1,44 @@
+{
+    "base": "21 + 1/3",
+    "bitwidth": 32,
+    "carry_chains": [
+        [
+            9,
+            8,
+            3,
+            11
+        ],
+        [
+            10,
+            9,
+            4,
+            0,
+            11,
+            5,
+            1,
+            6,
+            2,
+            7,
+            3,
+            8
+        ],
+        [
+            10,
+            9,
+            4,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21,22,21,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<256) - (1_mpz<<224) + (1_mpz<<192) + (1_mpz<<96) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21,22,21,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<256) - (1_mpz<<224) + (1_mpz<<192) + (1_mpz<<96) - 1'",
+    "modulus": "2^256 - 2^224 + 2^192 + 2^96 - 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "12"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e256m2e32m977_12limbs.json b/src/Specific/CurveParameters/solinas32_2e256m2e32m977_12limbs.json
new file mode 100644
index 000000000..87873c93f
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e256m2e32m977_12limbs.json
@@ -0,0 +1,40 @@
+{
+    "base": "21 + 1/3",
+    "bitwidth": 32,
+    "carry_chains": [
+        [
+            0,
+            11
+        ],
+        [
+            1,
+            0,
+            2,
+            3,
+            4,
+            5,
+            6,
+            7,
+            8,
+            9,
+            10,
+            11
+        ],
+        [
+            1,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21,22,21,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<256) - (1_mpz<<32) - 977'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21,22,21,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<256) - (1_mpz<<32) - 977'",
+    "modulus": "2^256 - 2^32 - 977",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "12"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e256m2e32m977_13limbs.json b/src/Specific/CurveParameters/solinas32_2e256m2e32m977_13limbs.json
new file mode 100644
index 000000000..555cb4a8a
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e256m2e32m977_13limbs.json
@@ -0,0 +1,41 @@
+{
+    "base": "19 + 9/13",
+    "bitwidth": 32,
+    "carry_chains": [
+        [
+            0,
+            12
+        ],
+        [
+            1,
+            0,
+            2,
+            3,
+            4,
+            5,
+            6,
+            7,
+            8,
+            9,
+            10,
+            11,
+            12
+        ],
+        [
+            1,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{20,20,20,19,20,20,19,20,20,19,20,20,19}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<256) - (1_mpz<<32) - 977'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{20,20,20,19,20,20,19,20,20,19,20,20,19}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<256) - (1_mpz<<32) - 977'",
+    "modulus": "2^256 - 2^32 - 977",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "13"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e266m3_10limbs.json b/src/Specific/CurveParameters/solinas32_2e266m3_10limbs.json
new file mode 100644
index 000000000..bc42c7f43
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e266m3_10limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "26.6",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,26,27,26,27,27,26,27,26}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='34' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<266) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,26,27,26,27,27,26,27,26}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='34' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<266) - 3'",
+    "modulus": "2^266 - 3",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "10"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e266m3_11limbs.json b/src/Specific/CurveParameters/solinas32_2e266m3_11limbs.json
new file mode 100644
index 000000000..fa8779bc9
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e266m3_11limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "24 + 2/11",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,24,24,24,25,24,24,24,24,24}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='34' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<266) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,24,24,24,25,24,24,24,24,24}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='34' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<266) - 3'",
+    "modulus": "2^266 - 3",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "11"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e285m9_11limbs.json b/src/Specific/CurveParameters/solinas32_2e285m9_11limbs.json
new file mode 100644
index 000000000..8c7efcbc8
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e285m9_11limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "25 + 10/11",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,26,26,26,26,25}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='36' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<285) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,26,26,26,26,25}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='36' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<285) - 9'",
+    "modulus": "2^285 - 9",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "11"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e285m9_12limbs.json b/src/Specific/CurveParameters/solinas32_2e285m9_12limbs.json
new file mode 100644
index 000000000..76980e16a
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e285m9_12limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "23.75",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,23,24,24,24,23,24,24,24,23}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='36' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<285) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,23,24,24,24,23,24,24,24,23}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='36' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<285) - 9'",
+    "modulus": "2^285 - 9",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "12"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e291m19_11limbs.json b/src/Specific/CurveParameters/solinas32_2e291m19_11limbs.json
new file mode 100644
index 000000000..a197adc79
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e291m19_11limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "26 + 5/11",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,26,27,26,27,26,27,26,27,26,26}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='37' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<291) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,26,27,26,27,26,27,26,27,26,26}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='37' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<291) - 19'",
+    "modulus": "2^291 - 19",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "11"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e291m19_12limbs.json b/src/Specific/CurveParameters/solinas32_2e291m19_12limbs.json
new file mode 100644
index 000000000..b9d3c6296
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e291m19_12limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "24.25",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,24,24,25,24,24,24,25,24,24,24}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='37' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<291) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,24,24,25,24,24,24,25,24,24,24}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='37' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<291) - 19'",
+    "modulus": "2^291 - 19",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "12"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e321m9_12limbs.json b/src/Specific/CurveParameters/solinas32_2e321m9_12limbs.json
new file mode 100644
index 000000000..9ee8403d8
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e321m9_12limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "26.75",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,27,26,27,27,27,26,27,27,27,26}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<321) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,27,26,27,27,27,26,27,27,27,26}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<321) - 9'",
+    "modulus": "2^321 - 9",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "12"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e321m9_13limbs.json b/src/Specific/CurveParameters/solinas32_2e321m9_13limbs.json
new file mode 100644
index 000000000..b46eb9cb3
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e321m9_13limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "24 + 9/13",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,24,25,25,24,25,25,24,25,25,24}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<321) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,24,25,25,24,25,25,24,25,25,24}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<321) - 9'",
+    "modulus": "2^321 - 9",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "13"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e322m2e161m1_12limbs.json b/src/Specific/CurveParameters/solinas32_2e322m2e161m1_12limbs.json
new file mode 100644
index 000000000..af5f5e053
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e322m2e161m1_12limbs.json
@@ -0,0 +1,41 @@
+{
+    "base": "26 + 5/6",
+    "bitwidth": 32,
+    "carry_chains": [
+        [
+            5,
+            11
+        ],
+        [
+            6,
+            0,
+            7,
+            1,
+            8,
+            2,
+            9,
+            3,
+            10,
+            4,
+            11,
+            5
+        ],
+        [
+            6,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,27,27,27,26,27,27,27,27,27,26}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<322) - (1_mpz<<161) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,27,27,27,26,27,27,27,27,27,26}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<322) - (1_mpz<<161) - 1'",
+    "goldilocks": true,
+    "modulus": "2^322 - 2^161 - 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "12"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e322m2e161m1_14limbs.json b/src/Specific/CurveParameters/solinas32_2e322m2e161m1_14limbs.json
new file mode 100644
index 000000000..05808e8da
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e322m2e161m1_14limbs.json
@@ -0,0 +1,43 @@
+{
+    "base": "23",
+    "bitwidth": 32,
+    "carry_chains": [
+        [
+            6,
+            13
+        ],
+        [
+            7,
+            0,
+            8,
+            1,
+            9,
+            2,
+            10,
+            3,
+            11,
+            4,
+            12,
+            5,
+            13,
+            6
+        ],
+        [
+            7,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,23,23,23,23,23,23,23,23,23,23,23,23}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='14' -Dq_mpz='(1_mpz<<322) - (1_mpz<<161) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,23,23,23,23,23,23,23,23,23,23,23,23}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='14' -Dq_mpz='(1_mpz<<322) - (1_mpz<<161) - 1'",
+    "goldilocks": true,
+    "modulus": "2^322 - 2^161 - 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "14"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e336m17_13limbs.json b/src/Specific/CurveParameters/solinas32_2e336m17_13limbs.json
new file mode 100644
index 000000000..f0da53eed
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e336m17_13limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "25 + 11/13",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,25,26,26,26,26,26,25}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<336) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,25,26,26,26,26,26,25}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<336) - 17'",
+    "modulus": "2^336 - 17",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "13"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e336m17_14limbs.json b/src/Specific/CurveParameters/solinas32_2e336m17_14limbs.json
new file mode 100644
index 000000000..28475f3bc
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e336m17_14limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "24",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,24,24,24,24,24,24,24,24,24,24,24}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='14' -Dq_mpz='(1_mpz<<336) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,24,24,24,24,24,24,24,24,24,24,24}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='14' -Dq_mpz='(1_mpz<<336) - 17'",
+    "modulus": "2^336 - 17",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "14"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e336m3_12limbs.json b/src/Specific/CurveParameters/solinas32_2e336m3_12limbs.json
new file mode 100644
index 000000000..1a3f3cb04
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e336m3_12limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "28",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{28,28,28,28,28,28,28,28,28,28,28,28}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<336) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{28,28,28,28,28,28,28,28,28,28,28,28}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<336) - 3'",
+    "modulus": "2^336 - 3",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "12"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e336m3_13limbs.json b/src/Specific/CurveParameters/solinas32_2e336m3_13limbs.json
new file mode 100644
index 000000000..5eca2a8f7
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e336m3_13limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "25 + 11/13",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,25,26,26,26,26,26,25}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<336) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,25,26,26,26,26,26,25}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<336) - 3'",
+    "modulus": "2^336 - 3",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "13"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e338m15_13limbs.json b/src/Specific/CurveParameters/solinas32_2e338m15_13limbs.json
new file mode 100644
index 000000000..170c92f35
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e338m15_13limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "26",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,26,26,26,26,26,26,26}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='43' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<338) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,26,26,26,26,26,26,26}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='43' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<338) - 15'",
+    "modulus": "2^338 - 15",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "13"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e338m15_14limbs.json b/src/Specific/CurveParameters/solinas32_2e338m15_14limbs.json
new file mode 100644
index 000000000..22112c079
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e338m15_14limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "24 + 1/7",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,24,24,24,24,24,25,24,24,24,24,24,24}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='43' -Dmodulus_limbs='14' -Dq_mpz='(1_mpz<<338) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,24,24,24,24,24,25,24,24,24,24,24,24}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='43' -Dmodulus_limbs='14' -Dq_mpz='(1_mpz<<338) - 15'",
+    "modulus": "2^338 - 15",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "14"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e369m25_15limbs.json b/src/Specific/CurveParameters/solinas32_2e369m25_15limbs.json
new file mode 100644
index 000000000..98ffe66f1
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e369m25_15limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "24.6",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,24,25,24,25,25,24,25,24,25,25,24,25,24}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='47' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<369) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,24,25,24,25,25,24,25,24,25,25,24,25,24}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='47' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<369) - 25'",
+    "modulus": "2^369 - 25",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "15"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e369m25_16limbs.json b/src/Specific/CurveParameters/solinas32_2e369m25_16limbs.json
new file mode 100644
index 000000000..ddeee561c
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e369m25_16limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "23 + 1/16",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='47' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<369) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='47' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<369) - 25'",
+    "modulus": "2^369 - 25",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "16"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e379m19_15limbs.json b/src/Specific/CurveParameters/solinas32_2e379m19_15limbs.json
new file mode 100644
index 000000000..34b4b107f
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e379m19_15limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "25 + 4/15",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,25,26,25,25,25,26,25,25,25,26,25,25,25}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<379) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,25,26,25,25,25,26,25,25,25,26,25,25,25}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<379) - 19'",
+    "modulus": "2^379 - 19",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "15"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e379m19_16limbs.json b/src/Specific/CurveParameters/solinas32_2e379m19_16limbs.json
new file mode 100644
index 000000000..d6ad0e2b4
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e379m19_16limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "23 + 11/16",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,23,24,24,23,24,24,23,24,24,23,24,24,23}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<379) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,23,24,24,23,24,24,23,24,24,23,24,24,23}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<379) - 19'",
+    "modulus": "2^379 - 19",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "16"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e382m105_16limbs.json b/src/Specific/CurveParameters/solinas32_2e382m105_16limbs.json
new file mode 100644
index 000000000..dc4e1657b
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e382m105_16limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "23.875",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,24,24,24,24,23,24,24,24,24,24,24,24,23}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x97}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<382) - 105'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,24,24,24,24,23,24,24,24,24,24,24,24,23}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x97}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<382) - 105'",
+    "modulus": "2^382 - 105",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "16"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e382m105_17limbs.json b/src/Specific/CurveParameters/solinas32_2e382m105_17limbs.json
new file mode 100644
index 000000000..2b6df00e9
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e382m105_17limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "22 + 8/17",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22,22}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x97}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<382) - 105'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22,22}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x97}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<382) - 105'",
+    "modulus": "2^382 - 105",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "17"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e383m187_16limbs.json b/src/Specific/CurveParameters/solinas32_2e383m187_16limbs.json
new file mode 100644
index 000000000..ce174751d
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e383m187_16limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "23 + 15/16",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,23}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<383) - 187'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,23}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<383) - 187'",
+    "modulus": "2^383 - 187",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "16"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e383m187_17limbs.json b/src/Specific/CurveParameters/solinas32_2e383m187_17limbs.json
new file mode 100644
index 000000000..bbc0c53f0
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e383m187_17limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "22 + 9/17",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<383) - 187'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<383) - 187'",
+    "modulus": "2^383 - 187",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "17"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e383m31_15limbs.json b/src/Specific/CurveParameters/solinas32_2e383m31_15limbs.json
new file mode 100644
index 000000000..bd58a5cfd
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e383m31_15limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "25 + 8/15",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,25,26,25,26,25,26,25,26,25,26,25,26,25}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<383) - 31'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,25,26,25,26,25,26,25,26,25,26,25,26,25}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<383) - 31'",
+    "modulus": "2^383 - 31",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "15"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e383m31_16limbs.json b/src/Specific/CurveParameters/solinas32_2e383m31_16limbs.json
new file mode 100644
index 000000000..facacaa28
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e383m31_16limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "23 + 15/16",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,23}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<383) - 31'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,23}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<383) - 31'",
+    "modulus": "2^383 - 31",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "16"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e383m421_17limbs.json b/src/Specific/CurveParameters/solinas32_2e383m421_17limbs.json
new file mode 100644
index 000000000..448717b9a
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e383m421_17limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "22 + 9/17",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x5b}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<383) - 421'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x5b}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<383) - 421'",
+    "modulus": "2^383 - 421",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "17"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e383m421_18limbs.json b/src/Specific/CurveParameters/solinas32_2e383m421_18limbs.json
new file mode 100644
index 000000000..06142d4be
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e383m421_18limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "21 + 5/18",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,21,22,21,21,22,21,21,21,22,21,21,21}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x5b}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<383) - 421'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,21,22,21,21,22,21,21,21,22,21,21,21}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x5b}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<383) - 421'",
+    "modulus": "2^383 - 421",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "18"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e384m2e128m2e96p2e32m1_18limbs.json b/src/Specific/CurveParameters/solinas32_2e384m2e128m2e96p2e32m1_18limbs.json
new file mode 100644
index 000000000..6f5c3a551
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e384m2e128m2e96p2e32m1_18limbs.json
@@ -0,0 +1,50 @@
+{
+    "base": "21 + 1/3",
+    "bitwidth": 32,
+    "carry_chains": [
+        [
+            5,
+            3,
+            0,
+            17
+        ],
+        [
+            6,
+            4,
+            1,
+            0,
+            7,
+            5,
+            2,
+            8,
+            3,
+            9,
+            10,
+            11,
+            12,
+            13,
+            14,
+            15,
+            16,
+            17
+        ],
+        [
+            6,
+            4,
+            1,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21,22,21,21,22,21,21,22,21,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<384) - (1_mpz<<128) - (1_mpz<<96) + (1_mpz<<32) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21,22,21,21,22,21,21,22,21,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<384) - (1_mpz<<128) - (1_mpz<<96) + (1_mpz<<32) - 1'",
+    "modulus": "2^384 - 2^128 - 2^96 + 2^32 - 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "18"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e384m2e128m2e96p2e32m1_19limbs.json b/src/Specific/CurveParameters/solinas32_2e384m2e128m2e96p2e32m1_19limbs.json
new file mode 100644
index 000000000..3362160f7
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e384m2e128m2e96p2e32m1_19limbs.json
@@ -0,0 +1,51 @@
+{
+    "base": "20 + 4/19",
+    "bitwidth": 32,
+    "carry_chains": [
+        [
+            5,
+            3,
+            0,
+            18
+        ],
+        [
+            6,
+            4,
+            1,
+            0,
+            7,
+            5,
+            2,
+            8,
+            3,
+            9,
+            10,
+            11,
+            12,
+            13,
+            14,
+            15,
+            16,
+            17,
+            18
+        ],
+        [
+            6,
+            4,
+            1,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{21,20,20,20,21,20,20,20,20,21,20,20,20,20,21,20,20,20,20}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='19' -Dq_mpz='(1_mpz<<384) - (1_mpz<<128) - (1_mpz<<96) + (1_mpz<<32) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{21,20,20,20,21,20,20,20,20,21,20,20,20,20,21,20,20,20,20}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='19' -Dq_mpz='(1_mpz<<384) - (1_mpz<<128) - (1_mpz<<96) + (1_mpz<<32) - 1'",
+    "modulus": "2^384 - 2^128 - 2^96 + 2^32 - 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "19"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e384m317_17limbs.json b/src/Specific/CurveParameters/solinas32_2e384m317_17limbs.json
new file mode 100644
index 000000000..db04ccdea
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e384m317_17limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "22 + 10/17",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,22,23,22,23,23,22,23,22,23,23,22,23,22,23,22}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xc3}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<384) - 317'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,22,23,22,23,23,22,23,22,23,23,22,23,22,23,22}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xc3}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<384) - 317'",
+    "modulus": "2^384 - 317",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "17"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e384m317_18limbs.json b/src/Specific/CurveParameters/solinas32_2e384m317_18limbs.json
new file mode 100644
index 000000000..c8638bad6
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e384m317_18limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "21 + 1/3",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21,22,21,21,22,21,21,22,21,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xc3}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<384) - 317'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21,22,21,21,22,21,21,22,21,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xc3}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<384) - 317'",
+    "modulus": "2^384 - 317",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "18"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e389m21_15limbs.json b/src/Specific/CurveParameters/solinas32_2e389m21_15limbs.json
new file mode 100644
index 000000000..3a4570ccc
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e389m21_15limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "25 + 14/15",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,26,26,26,26,26,26,26,26,25}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='49' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<389) - 21'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,26,26,26,26,26,26,26,26,25}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='49' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<389) - 21'",
+    "modulus": "2^389 - 21",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "15"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e389m21_16limbs.json b/src/Specific/CurveParameters/solinas32_2e389m21_16limbs.json
new file mode 100644
index 000000000..2d9b0307a
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e389m21_16limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "24 + 5/16",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,24,25,24,24,25,24,24,25,24,24,25,24,24,24}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='49' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<389) - 21'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,24,25,24,24,25,24,24,25,24,24,25,24,24,24}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='49' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<389) - 21'",
+    "modulus": "2^389 - 21",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "16"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e401m31_16limbs.json b/src/Specific/CurveParameters/solinas32_2e401m31_16limbs.json
new file mode 100644
index 000000000..70b34f05c
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e401m31_16limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "25 + 1/16",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='51' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<401) - 31'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='51' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<401) - 31'",
+    "modulus": "2^401 - 31",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "16"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e401m31_17limbs.json b/src/Specific/CurveParameters/solinas32_2e401m31_17limbs.json
new file mode 100644
index 000000000..dd8649aa4
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e401m31_17limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "23 + 10/17",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,23,24,23,24,24,23,24,23,24,24,23,24,23,24,23}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='51' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<401) - 31'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,23,24,23,24,24,23,24,23,24,24,23,24,23,24,23}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='51' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<401) - 31'",
+    "modulus": "2^401 - 31",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "17"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e413m21_16limbs.json b/src/Specific/CurveParameters/solinas32_2e413m21_16limbs.json
new file mode 100644
index 000000000..2c3644f7b
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e413m21_16limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "25 + 13/16",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,25,26,26,26,26,25,26,26,26,26,25}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<413) - 21'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,25,26,26,26,26,25,26,26,26,26,25}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<413) - 21'",
+    "modulus": "2^413 - 21",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "16"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e413m21_17limbs.json b/src/Specific/CurveParameters/solinas32_2e413m21_17limbs.json
new file mode 100644
index 000000000..c1a7ea0b8
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e413m21_17limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "24 + 5/17",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,24,25,24,24,25,24,24,24,25,24,24,25,24,24,24}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<413) - 21'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,24,25,24,24,25,24,24,24,25,24,24,25,24,24,24}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<413) - 21'",
+    "modulus": "2^413 - 21",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "17"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e414m17_16limbs.json b/src/Specific/CurveParameters/solinas32_2e414m17_16limbs.json
new file mode 100644
index 000000000..29a883374
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e414m17_16limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "25.875",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,26,25,26,26,26,26,26,26,26,25}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<414) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,26,25,26,26,26,26,26,26,26,25}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<414) - 17'",
+    "modulus": "2^414 - 17",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "16"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e414m17_17limbs.json b/src/Specific/CurveParameters/solinas32_2e414m17_17limbs.json
new file mode 100644
index 000000000..fd1606272
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e414m17_17limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "24 + 6/17",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,25,24,24,25,24,24,25,24,24,25,24,24,25,24,24}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<414) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,25,24,24,25,24,24,25,24,24,25,24,24,25,24,24}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<414) - 17'",
+    "modulus": "2^414 - 17",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "17"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e416m2e208m1_16limbs.json b/src/Specific/CurveParameters/solinas32_2e416m2e208m1_16limbs.json
new file mode 100644
index 000000000..7a67e9442
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e416m2e208m1_16limbs.json
@@ -0,0 +1,45 @@
+{
+    "base": "26",
+    "bitwidth": 32,
+    "carry_chains": [
+        [
+            7,
+            15
+        ],
+        [
+            8,
+            0,
+            9,
+            1,
+            10,
+            2,
+            11,
+            3,
+            12,
+            4,
+            13,
+            5,
+            14,
+            6,
+            15,
+            7
+        ],
+        [
+            8,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<416) - (1_mpz<<208) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<416) - (1_mpz<<208) - 1'",
+    "goldilocks": true,
+    "modulus": "2^416 - 2^208 - 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "16"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e416m2e208m1_18limbs.json b/src/Specific/CurveParameters/solinas32_2e416m2e208m1_18limbs.json
new file mode 100644
index 000000000..b9fe5f73b
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e416m2e208m1_18limbs.json
@@ -0,0 +1,47 @@
+{
+    "base": "23 + 1/9",
+    "bitwidth": 32,
+    "carry_chains": [
+        [
+            8,
+            17
+        ],
+        [
+            9,
+            0,
+            10,
+            1,
+            11,
+            2,
+            12,
+            3,
+            13,
+            4,
+            14,
+            5,
+            15,
+            6,
+            16,
+            7,
+            17,
+            8
+        ],
+        [
+            9,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,23,23,23,23,23,23,23,24,23,23,23,23,23,23,23,23}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<416) - (1_mpz<<208) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,23,23,23,23,23,23,23,24,23,23,23,23,23,23,23,23}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<416) - (1_mpz<<208) - 1'",
+    "goldilocks": true,
+    "modulus": "2^416 - 2^208 - 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "18"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e444m17_17limbs.json b/src/Specific/CurveParameters/solinas32_2e444m17_17limbs.json
new file mode 100644
index 000000000..465fcb03e
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e444m17_17limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "26 + 2/17",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,26,26,26,26,26,26,26,27,26,26,26,26,26,26,26,26}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<444) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,26,26,26,26,26,26,26,27,26,26,26,26,26,26,26,26}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<444) - 17'",
+    "modulus": "2^444 - 17",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "17"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e444m17_18limbs.json b/src/Specific/CurveParameters/solinas32_2e444m17_18limbs.json
new file mode 100644
index 000000000..8fdccc232
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e444m17_18limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "24 + 2/3",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,24,25,25,24,25,25,24,25,25,24,25,25,24,25,25,24}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<444) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,24,25,25,24,25,25,24,25,25,24,25,25,24,25,25,24}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<444) - 17'",
+    "modulus": "2^444 - 17",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "18"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e448m2e224m1_16limbs.json b/src/Specific/CurveParameters/solinas32_2e448m2e224m1_16limbs.json
new file mode 100644
index 000000000..88c539a6b
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e448m2e224m1_16limbs.json
@@ -0,0 +1,45 @@
+{
+    "base": "28",
+    "bitwidth": 32,
+    "carry_chains": [
+        [
+            7,
+            15
+        ],
+        [
+            8,
+            0,
+            9,
+            1,
+            10,
+            2,
+            11,
+            3,
+            12,
+            4,
+            13,
+            5,
+            14,
+            6,
+            15,
+            7
+        ],
+        [
+            8,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<448) - (1_mpz<<224) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<448) - (1_mpz<<224) - 1'",
+    "goldilocks": true,
+    "modulus": "2^448 - 2^224 - 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "16"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e448m2e224m1_18limbs.json b/src/Specific/CurveParameters/solinas32_2e448m2e224m1_18limbs.json
new file mode 100644
index 000000000..051892b7f
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e448m2e224m1_18limbs.json
@@ -0,0 +1,47 @@
+{
+    "base": "24 + 8/9",
+    "bitwidth": 32,
+    "carry_chains": [
+        [
+            8,
+            17
+        ],
+        [
+            9,
+            0,
+            10,
+            1,
+            11,
+            2,
+            12,
+            3,
+            13,
+            4,
+            14,
+            5,
+            15,
+            6,
+            16,
+            7,
+            17,
+            8
+        ],
+        [
+            9,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,25,25,25,25,25,24,25,25,25,25,25,25,25,25,24}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<448) - (1_mpz<<224) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,25,25,25,25,25,24,25,25,25,25,25,25,25,25,24}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<448) - (1_mpz<<224) - 1'",
+    "goldilocks": true,
+    "modulus": "2^448 - 2^224 - 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "18"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e450m2e225m1_18limbs.json b/src/Specific/CurveParameters/solinas32_2e450m2e225m1_18limbs.json
new file mode 100644
index 000000000..f03761900
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e450m2e225m1_18limbs.json
@@ -0,0 +1,47 @@
+{
+    "base": "25",
+    "bitwidth": 32,
+    "carry_chains": [
+        [
+            8,
+            17
+        ],
+        [
+            9,
+            0,
+            10,
+            1,
+            11,
+            2,
+            12,
+            3,
+            13,
+            4,
+            14,
+            5,
+            15,
+            6,
+            16,
+            7,
+            17,
+            8
+        ],
+        [
+            9,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<450) - (1_mpz<<225) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<450) - (1_mpz<<225) - 1'",
+    "goldilocks": true,
+    "modulus": "2^450 - 2^225 - 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "18"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e450m2e225m1_20limbs.json b/src/Specific/CurveParameters/solinas32_2e450m2e225m1_20limbs.json
new file mode 100644
index 000000000..0b5aca854
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e450m2e225m1_20limbs.json
@@ -0,0 +1,49 @@
+{
+    "base": "22.5",
+    "bitwidth": 32,
+    "carry_chains": [
+        [
+            9,
+            19
+        ],
+        [
+            10,
+            0,
+            11,
+            1,
+            12,
+            2,
+            13,
+            3,
+            14,
+            4,
+            15,
+            5,
+            16,
+            6,
+            17,
+            7,
+            18,
+            8,
+            19,
+            9
+        ],
+        [
+            10,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='20' -Dq_mpz='(1_mpz<<450) - (1_mpz<<225) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='20' -Dq_mpz='(1_mpz<<450) - (1_mpz<<225) - 1'",
+    "goldilocks": true,
+    "modulus": "2^450 - 2^225 - 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "20"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e452m3_17limbs.json b/src/Specific/CurveParameters/solinas32_2e452m3_17limbs.json
new file mode 100644
index 000000000..3145c4863
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e452m3_17limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "26 + 10/17",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,26,27,26,27,27,26,27,26,27,27,26,27,26,27,26}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<452) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,26,27,26,27,27,26,27,26,27,27,26,27,26,27,26}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<452) - 3'",
+    "modulus": "2^452 - 3",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "17"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e452m3_18limbs.json b/src/Specific/CurveParameters/solinas32_2e452m3_18limbs.json
new file mode 100644
index 000000000..a85ee402d
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e452m3_18limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "25 + 1/9",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,25,25,25,25,25,25,25,26,25,25,25,25,25,25,25,25}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<452) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,25,25,25,25,25,25,25,26,25,25,25,25,25,25,25,25}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<452) - 3'",
+    "modulus": "2^452 - 3",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "18"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e468m17_18limbs.json b/src/Specific/CurveParameters/solinas32_2e468m17_18limbs.json
new file mode 100644
index 000000000..5c12edc84
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e468m17_18limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "26",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='59' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<468) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='59' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<468) - 17'",
+    "modulus": "2^468 - 17",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "18"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e468m17_19limbs.json b/src/Specific/CurveParameters/solinas32_2e468m17_19limbs.json
new file mode 100644
index 000000000..a2a37f9c5
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e468m17_19limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "24 + 12/19",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,24,25,25,24,25,25,24,25,24,25,25,24,25,25,24,25,24}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='59' -Dmodulus_limbs='19' -Dq_mpz='(1_mpz<<468) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,24,25,25,24,25,25,24,25,24,25,25,24,25,25,24,25,24}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='59' -Dmodulus_limbs='19' -Dq_mpz='(1_mpz<<468) - 17'",
+    "modulus": "2^468 - 17",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "19"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e480m2e240m1_18limbs.json b/src/Specific/CurveParameters/solinas32_2e480m2e240m1_18limbs.json
new file mode 100644
index 000000000..154310fed
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e480m2e240m1_18limbs.json
@@ -0,0 +1,47 @@
+{
+    "base": "26 + 2/3",
+    "bitwidth": 32,
+    "carry_chains": [
+        [
+            8,
+            17
+        ],
+        [
+            9,
+            0,
+            10,
+            1,
+            11,
+            2,
+            12,
+            3,
+            13,
+            4,
+            14,
+            5,
+            15,
+            6,
+            16,
+            7,
+            17,
+            8
+        ],
+        [
+            9,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,26,27,27,26,27,27,26,27,27,26,27,27,26,27,27,26}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='60' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<480) - (1_mpz<<240) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,26,27,27,26,27,27,26,27,27,26,27,27,26,27,27,26}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='60' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<480) - (1_mpz<<240) - 1'",
+    "goldilocks": true,
+    "modulus": "2^480 - 2^240 - 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "18"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e480m2e240m1_20limbs.json b/src/Specific/CurveParameters/solinas32_2e480m2e240m1_20limbs.json
new file mode 100644
index 000000000..224a758c0
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e480m2e240m1_20limbs.json
@@ -0,0 +1,49 @@
+{
+    "base": "24",
+    "bitwidth": 32,
+    "carry_chains": [
+        [
+            9,
+            19
+        ],
+        [
+            10,
+            0,
+            11,
+            1,
+            12,
+            2,
+            13,
+            3,
+            14,
+            4,
+            15,
+            5,
+            16,
+            6,
+            17,
+            7,
+            18,
+            8,
+            19,
+            9
+        ],
+        [
+            10,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='60' -Dmodulus_limbs='20' -Dq_mpz='(1_mpz<<480) - (1_mpz<<240) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='60' -Dmodulus_limbs='20' -Dq_mpz='(1_mpz<<480) - (1_mpz<<240) - 1'",
+    "goldilocks": true,
+    "modulus": "2^480 - 2^240 - 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "20"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e488m17_19limbs.json b/src/Specific/CurveParameters/solinas32_2e488m17_19limbs.json
new file mode 100644
index 000000000..543f964b0
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e488m17_19limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "25 + 13/19",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,25,26,26,25,26,26,25,26,26,25,26,26,25,26,26,25}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='61' -Dmodulus_limbs='19' -Dq_mpz='(1_mpz<<488) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,25,26,26,25,26,26,25,26,26,25,26,26,25,26,26,25}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='61' -Dmodulus_limbs='19' -Dq_mpz='(1_mpz<<488) - 17'",
+    "modulus": "2^488 - 17",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "19"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e488m17_20limbs.json b/src/Specific/CurveParameters/solinas32_2e488m17_20limbs.json
new file mode 100644
index 000000000..7affee0f7
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e488m17_20limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "24.4",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,25,24,24,25,24,25,24,24,25,24,25,24,24,25,24,25,24,24}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='61' -Dmodulus_limbs='20' -Dq_mpz='(1_mpz<<488) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,25,24,24,25,24,25,24,24,25,24,25,24,24,25,24,25,24,24}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='61' -Dmodulus_limbs='20' -Dq_mpz='(1_mpz<<488) - 17'",
+    "modulus": "2^488 - 17",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "20"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e489m21_19limbs.json b/src/Specific/CurveParameters/solinas32_2e489m21_19limbs.json
new file mode 100644
index 000000000..0482310e5
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e489m21_19limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "25 + 14/19",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,25,26,26,26,25,26,26,26,25,26,26,26,25,26,26,25}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='19' -Dq_mpz='(1_mpz<<489) - 21'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,25,26,26,26,25,26,26,26,25,26,26,26,25,26,26,25}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='19' -Dq_mpz='(1_mpz<<489) - 21'",
+    "modulus": "2^489 - 21",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "19"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e489m21_20limbs.json b/src/Specific/CurveParameters/solinas32_2e489m21_20limbs.json
new file mode 100644
index 000000000..c1ada5690
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e489m21_20limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "24 + 9/20",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,25,24,25,24,25,24,25,24,24,25,24,25,24,25,24,25,24,24}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='20' -Dq_mpz='(1_mpz<<489) - 21'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,25,24,25,24,25,24,25,24,24,25,24,25,24,25,24,25,24,24}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='20' -Dq_mpz='(1_mpz<<489) - 21'",
+    "modulus": "2^489 - 21",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "20"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e495m31_20limbs.json b/src/Specific/CurveParameters/solinas32_2e495m31_20limbs.json
new file mode 100644
index 000000000..4a3c4bd5f
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e495m31_20limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "24.75",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,24,25,25,25,24,25,25,25,24,25,25,25,24,25,25,25,24}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='20' -Dq_mpz='(1_mpz<<495) - 31'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,24,25,25,25,24,25,25,25,24,25,25,25,24,25,25,25,24}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='20' -Dq_mpz='(1_mpz<<495) - 31'",
+    "modulus": "2^495 - 31",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "20"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e495m31_21limbs.json b/src/Specific/CurveParameters/solinas32_2e495m31_21limbs.json
new file mode 100644
index 000000000..67765b859
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e495m31_21limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "23 + 4/7",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,23,24,23,24,23,24,24,23,24,23,24,23,24,24,23,24,23,24,23}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='21' -Dq_mpz='(1_mpz<<495) - 31'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,23,24,23,24,23,24,24,23,24,23,24,23,24,24,23,24,23,24,23}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='21' -Dq_mpz='(1_mpz<<495) - 31'",
+    "modulus": "2^495 - 31",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "21"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e511m187_22limbs.json b/src/Specific/CurveParameters/solinas32_2e511m187_22limbs.json
new file mode 100644
index 000000000..3682fc105
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e511m187_22limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "23 + 5/22",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,23,23,24,23,23,23,24,23,23,23,23,24,23,23,23,24,23,23,23,23}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='22' -Dq_mpz='(1_mpz<<511) - 187'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,23,23,24,23,23,23,24,23,23,23,23,24,23,23,23,24,23,23,23,23}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='22' -Dq_mpz='(1_mpz<<511) - 187'",
+    "modulus": "2^511 - 187",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "22"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e511m187_23limbs.json b/src/Specific/CurveParameters/solinas32_2e511m187_23limbs.json
new file mode 100644
index 000000000..30446b75d
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e511m187_23limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "22 + 5/23",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,22,22,22,23,22,22,22,22,23,22,22,22,23,22,22,22,22,23,22,22,22,22}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='23' -Dq_mpz='(1_mpz<<511) - 187'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,22,22,22,23,22,22,22,22,23,22,22,22,23,22,22,22,22,23,22,22,22,22}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='23' -Dq_mpz='(1_mpz<<511) - 187'",
+    "modulus": "2^511 - 187",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "23"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e511m481_23limbs.json b/src/Specific/CurveParameters/solinas32_2e511m481_23limbs.json
new file mode 100644
index 000000000..aca753a6e
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e511m481_23limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "22 + 5/23",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,22,22,22,23,22,22,22,22,23,22,22,22,23,22,22,22,22,23,22,22,22,22}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x1f}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='23' -Dq_mpz='(1_mpz<<511) - 481'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,22,22,22,23,22,22,22,22,23,22,22,22,23,22,22,22,22,23,22,22,22,22}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x1f}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='23' -Dq_mpz='(1_mpz<<511) - 481'",
+    "modulus": "2^511 - 481",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "23"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e511m481_24limbs.json b/src/Specific/CurveParameters/solinas32_2e511m481_24limbs.json
new file mode 100644
index 000000000..4934dee8f
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e511m481_24limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "21 + 7/24",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21,21,22,21,21,22,21,21,21,22,21,21,22,21,21,21}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x1f}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='24' -Dq_mpz='(1_mpz<<511) - 481'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21,21,22,21,21,22,21,21,21,22,21,21,22,21,21,21}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x1f}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='24' -Dq_mpz='(1_mpz<<511) - 481'",
+    "modulus": "2^511 - 481",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "24"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e512m569_24limbs.json b/src/Specific/CurveParameters/solinas32_2e512m569_24limbs.json
new file mode 100644
index 000000000..5e75c6b7d
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e512m569_24limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "21 + 1/3",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21,22,21,21,22,21,21,22,21,21,22,21,21,22,21,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xc7}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='24' -Dq_mpz='(1_mpz<<512) - 569'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21,22,21,21,22,21,21,22,21,21,22,21,21,22,21,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xc7}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='24' -Dq_mpz='(1_mpz<<512) - 569'",
+    "modulus": "2^512 - 569",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "24"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e512m569_25limbs.json b/src/Specific/CurveParameters/solinas32_2e512m569_25limbs.json
new file mode 100644
index 000000000..23e7e2a0d
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e512m569_25limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "20 + 12/25",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,20}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xc7}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='25' -Dq_mpz='(1_mpz<<512) - 569'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,20}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xc7}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='25' -Dq_mpz='(1_mpz<<512) - 569'",
+    "modulus": "2^512 - 569",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "25"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e521m1_19limbs.json b/src/Specific/CurveParameters/solinas32_2e521m1_19limbs.json
new file mode 100644
index 000000000..8ac1a66a6
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e521m1_19limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "27 + 8/19",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{28,27,28,27,28,27,27,28,27,28,27,28,27,27,28,27,28,27,27}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='66' -Dmodulus_limbs='19' -Dq_mpz='(1_mpz<<521) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{28,27,28,27,28,27,27,28,27,28,27,28,27,27,28,27,28,27,27}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='66' -Dmodulus_limbs='19' -Dq_mpz='(1_mpz<<521) - 1'",
+    "modulus": "2^521 - 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "19"
+}
diff --git a/src/Specific/CurveParameters/solinas32_2e521m1_20limbs.json b/src/Specific/CurveParameters/solinas32_2e521m1_20limbs.json
new file mode 100644
index 000000000..b56e1c8bb
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas32_2e521m1_20limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "26 + 1/20",
+    "bitwidth": 32,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='66' -Dmodulus_limbs='20' -Dq_mpz='(1_mpz<<521) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='66' -Dmodulus_limbs='20' -Dq_mpz='(1_mpz<<521) - 1'",
+    "modulus": "2^521 - 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "20"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e127m1_3limbs.json b/src/Specific/CurveParameters/solinas64_2e127m1_3limbs.json
new file mode 100644
index 000000000..84ed92b8e
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e127m1_3limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "42 + 1/3",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,42,42}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='16' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<127) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,42,42}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='16' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<127) - 1'",
+    "modulus": "2^127 - 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "3"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e129m25_3limbs.json b/src/Specific/CurveParameters/solinas64_2e129m25_3limbs.json
new file mode 100644
index 000000000..12645fc11
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e129m25_3limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "43",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,43,43}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<129) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,43,43}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<129) - 25'",
+    "modulus": "2^129 - 25",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "3"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e129m25_4limbs.json b/src/Specific/CurveParameters/solinas64_2e129m25_4limbs.json
new file mode 100644
index 000000000..e6d0846b7
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e129m25_4limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "32.25",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{33,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<129) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{33,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<129) - 25'",
+    "modulus": "2^129 - 25",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e130m5_3limbs.json b/src/Specific/CurveParameters/solinas64_2e130m5_3limbs.json
new file mode 100644
index 000000000..5d8b448cc
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e130m5_3limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "43 + 1/3",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{44,43,43}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<130) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{44,43,43}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<130) - 5'",
+    "modulus": "2^130 - 5",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "3"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e130m5_4limbs.json b/src/Specific/CurveParameters/solinas64_2e130m5_4limbs.json
new file mode 100644
index 000000000..169ec8992
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e130m5_4limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "32.5",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{33,32,33,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<130) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{33,32,33,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<130) - 5'",
+    "modulus": "2^130 - 5",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e137m13_3limbs.json b/src/Specific/CurveParameters/solinas64_2e137m13_3limbs.json
new file mode 100644
index 000000000..83b4028c7
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e137m13_3limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "45 + 2/3",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{46,46,45}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf3}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<137) - 13'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{46,46,45}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf3}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<137) - 13'",
+    "modulus": "2^137 - 13",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "3"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e137m13_4limbs.json b/src/Specific/CurveParameters/solinas64_2e137m13_4limbs.json
new file mode 100644
index 000000000..9826afaca
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e137m13_4limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "34.25",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{35,34,34,34}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf3}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<137) - 13'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{35,34,34,34}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf3}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<137) - 13'",
+    "modulus": "2^137 - 13",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e140m27_3limbs.json b/src/Specific/CurveParameters/solinas64_2e140m27_3limbs.json
new file mode 100644
index 000000000..bb63dd313
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e140m27_3limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "46 + 2/3",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,47,46}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<140) - 27'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,47,46}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<140) - 27'",
+    "modulus": "2^140 - 27",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "3"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e140m27_4limbs.json b/src/Specific/CurveParameters/solinas64_2e140m27_4limbs.json
new file mode 100644
index 000000000..2a315d2c2
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e140m27_4limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "35",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{35,35,35,35}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<140) - 27'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{35,35,35,35}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<140) - 27'",
+    "modulus": "2^140 - 27",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e141m9_3limbs.json b/src/Specific/CurveParameters/solinas64_2e141m9_3limbs.json
new file mode 100644
index 000000000..20ce1fb92
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e141m9_3limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "47",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,47,47}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<141) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,47,47}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<141) - 9'",
+    "modulus": "2^141 - 9",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "3"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e141m9_4limbs.json b/src/Specific/CurveParameters/solinas64_2e141m9_4limbs.json
new file mode 100644
index 000000000..d2a7b65b5
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e141m9_4limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "35.25",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{36,35,35,35}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<141) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{36,35,35,35}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<141) - 9'",
+    "modulus": "2^141 - 9",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e150m3_3limbs.json b/src/Specific/CurveParameters/solinas64_2e150m3_3limbs.json
new file mode 100644
index 000000000..018d50670
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e150m3_3limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "50",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{50,50,50}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<150) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{50,50,50}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<150) - 3'",
+    "modulus": "2^150 - 3",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "3"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e150m3_4limbs.json b/src/Specific/CurveParameters/solinas64_2e150m3_4limbs.json
new file mode 100644
index 000000000..f522c1ae6
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e150m3_4limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "37.5",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{38,37,38,37}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<150) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{38,37,38,37}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<150) - 3'",
+    "modulus": "2^150 - 3",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e150m5_3limbs.json b/src/Specific/CurveParameters/solinas64_2e150m5_3limbs.json
new file mode 100644
index 000000000..489555bd6
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e150m5_3limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "50",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{50,50,50}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<150) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{50,50,50}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<150) - 5'",
+    "modulus": "2^150 - 5",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "3"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e150m5_4limbs.json b/src/Specific/CurveParameters/solinas64_2e150m5_4limbs.json
new file mode 100644
index 000000000..256937f97
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e150m5_4limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "37.5",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{38,37,38,37}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<150) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{38,37,38,37}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<150) - 5'",
+    "modulus": "2^150 - 5",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e152m17_3limbs.json b/src/Specific/CurveParameters/solinas64_2e152m17_3limbs.json
new file mode 100644
index 000000000..2b7ac15f3
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e152m17_3limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "50 + 2/3",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{51,51,50}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<152) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{51,51,50}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<152) - 17'",
+    "modulus": "2^152 - 17",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "3"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e152m17_4limbs.json b/src/Specific/CurveParameters/solinas64_2e152m17_4limbs.json
new file mode 100644
index 000000000..c9f3def51
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e152m17_4limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "38",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{38,38,38,38}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<152) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{38,38,38,38}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<152) - 17'",
+    "modulus": "2^152 - 17",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e158m15_3limbs.json b/src/Specific/CurveParameters/solinas64_2e158m15_3limbs.json
new file mode 100644
index 000000000..7c56af9da
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e158m15_3limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "52 + 2/3",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{53,53,52}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='20' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<158) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{53,53,52}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='20' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<158) - 15'",
+    "modulus": "2^158 - 15",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "3"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e158m15_4limbs.json b/src/Specific/CurveParameters/solinas64_2e158m15_4limbs.json
new file mode 100644
index 000000000..0f658a8ff
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e158m15_4limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "39.5",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{40,39,40,39}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='20' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<158) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{40,39,40,39}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='20' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<158) - 15'",
+    "modulus": "2^158 - 15",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e165m25_3limbs.json b/src/Specific/CurveParameters/solinas64_2e165m25_3limbs.json
new file mode 100644
index 000000000..92849ddd7
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e165m25_3limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "55",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,55,55}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<165) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,55,55}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<165) - 25'",
+    "modulus": "2^165 - 25",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "3"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e165m25_4limbs.json b/src/Specific/CurveParameters/solinas64_2e165m25_4limbs.json
new file mode 100644
index 000000000..533628ddc
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e165m25_4limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "41.25",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{42,41,41,41}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<165) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{42,41,41,41}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<165) - 25'",
+    "modulus": "2^165 - 25",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e166m5_3limbs.json b/src/Specific/CurveParameters/solinas64_2e166m5_3limbs.json
new file mode 100644
index 000000000..dbdc4a876
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e166m5_3limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "55 + 1/3",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,55,55}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<166) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,55,55}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<166) - 5'",
+    "modulus": "2^166 - 5",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "3"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e166m5_4limbs.json b/src/Specific/CurveParameters/solinas64_2e166m5_4limbs.json
new file mode 100644
index 000000000..bb49c6f5b
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e166m5_4limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "41.5",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{42,41,42,41}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<166) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{42,41,42,41}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<166) - 5'",
+    "modulus": "2^166 - 5",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e171m19_3limbs.json b/src/Specific/CurveParameters/solinas64_2e171m19_3limbs.json
new file mode 100644
index 000000000..0fb2937b6
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e171m19_3limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "57",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{57,57,57}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<171) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{57,57,57}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<171) - 19'",
+    "modulus": "2^171 - 19",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "3"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e171m19_4limbs.json b/src/Specific/CurveParameters/solinas64_2e171m19_4limbs.json
new file mode 100644
index 000000000..3637caccc
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e171m19_4limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "42.75",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,43,43,42}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<171) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,43,43,42}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<171) - 19'",
+    "modulus": "2^171 - 19",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e174m17_3limbs.json b/src/Specific/CurveParameters/solinas64_2e174m17_3limbs.json
new file mode 100644
index 000000000..ae80ead5e
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e174m17_3limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "58",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{58,58,58}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<174) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{58,58,58}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<174) - 17'",
+    "modulus": "2^174 - 17",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "3"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e174m17_4limbs.json b/src/Specific/CurveParameters/solinas64_2e174m17_4limbs.json
new file mode 100644
index 000000000..466921be6
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e174m17_4limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "43.5",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{44,43,44,43}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<174) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{44,43,44,43}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<174) - 17'",
+    "modulus": "2^174 - 17",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e174m3_3limbs.json b/src/Specific/CurveParameters/solinas64_2e174m3_3limbs.json
new file mode 100644
index 000000000..a665a65df
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e174m3_3limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "58",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{58,58,58}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<174) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{58,58,58}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<174) - 3'",
+    "modulus": "2^174 - 3",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "3"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e174m3_4limbs.json b/src/Specific/CurveParameters/solinas64_2e174m3_4limbs.json
new file mode 100644
index 000000000..c5937511f
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e174m3_4limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "43.5",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{44,43,44,43}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<174) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{44,43,44,43}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<174) - 3'",
+    "modulus": "2^174 - 3",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e189m25_4limbs.json b/src/Specific/CurveParameters/solinas64_2e189m25_4limbs.json
new file mode 100644
index 000000000..085938649
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e189m25_4limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "47.25",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,47,47,47}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<189) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,47,47,47}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<189) - 25'",
+    "modulus": "2^189 - 25",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e189m25_5limbs.json b/src/Specific/CurveParameters/solinas64_2e189m25_5limbs.json
new file mode 100644
index 000000000..fde6a73e8
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e189m25_5limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "37.8",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{38,38,38,38,37}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<189) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{38,38,38,38,37}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<189) - 25'",
+    "modulus": "2^189 - 25",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "5"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e190m11_4limbs.json b/src/Specific/CurveParameters/solinas64_2e190m11_4limbs.json
new file mode 100644
index 000000000..e474c76ee
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e190m11_4limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "47.5",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,47,48,47}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf5}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<190) - 11'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,47,48,47}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf5}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<190) - 11'",
+    "modulus": "2^190 - 11",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e190m11_5limbs.json b/src/Specific/CurveParameters/solinas64_2e190m11_5limbs.json
new file mode 100644
index 000000000..87530892f
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e190m11_5limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "38",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{38,38,38,38,38}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf5}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<190) - 11'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{38,38,38,38,38}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf5}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<190) - 11'",
+    "modulus": "2^190 - 11",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "5"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e191m19_4limbs.json b/src/Specific/CurveParameters/solinas64_2e191m19_4limbs.json
new file mode 100644
index 000000000..a925ca643
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e191m19_4limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "47.75",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,47}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<191) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,47}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<191) - 19'",
+    "modulus": "2^191 - 19",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e191m19_5limbs.json b/src/Specific/CurveParameters/solinas64_2e191m19_5limbs.json
new file mode 100644
index 000000000..433c1c0af
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e191m19_5limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "38.2",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{39,38,38,38,38}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<191) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{39,38,38,38,38}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<191) - 19'",
+    "modulus": "2^191 - 19",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "5"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e192m2e64m1_4limbs.json b/src/Specific/CurveParameters/solinas64_2e192m2e64m1_4limbs.json
new file mode 100644
index 000000000..6ff21b39c
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e192m2e64m1_4limbs.json
@@ -0,0 +1,32 @@
+{
+    "base": "48",
+    "bitwidth": 64,
+    "carry_chains": [
+        [
+            0,
+            3
+        ],
+        [
+            1,
+            0,
+            2,
+            3
+        ],
+        [
+            1,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<192) - (1_mpz<<64) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<192) - (1_mpz<<64) - 1'",
+    "modulus": "2^192 - 2^64 - 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e192m2e64m1_5limbs.json b/src/Specific/CurveParameters/solinas64_2e192m2e64m1_5limbs.json
new file mode 100644
index 000000000..8cf158546
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e192m2e64m1_5limbs.json
@@ -0,0 +1,33 @@
+{
+    "base": "38.4",
+    "bitwidth": 64,
+    "carry_chains": [
+        [
+            0,
+            4
+        ],
+        [
+            1,
+            0,
+            2,
+            3,
+            4
+        ],
+        [
+            1,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{39,38,39,38,38}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<192) - (1_mpz<<64) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{39,38,39,38,38}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<192) - (1_mpz<<64) - 1'",
+    "modulus": "2^192 - 2^64 - 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "5"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e194m33_4limbs.json b/src/Specific/CurveParameters/solinas64_2e194m33_4limbs.json
new file mode 100644
index 000000000..762e89e1e
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e194m33_4limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "48.5",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,48,49,48}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xdf}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<194) - 33'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,48,49,48}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xdf}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<194) - 33'",
+    "modulus": "2^194 - 33",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e194m33_5limbs.json b/src/Specific/CurveParameters/solinas64_2e194m33_5limbs.json
new file mode 100644
index 000000000..74b1873c5
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e194m33_5limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "38.8",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{39,39,39,39,38}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xdf}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<194) - 33'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{39,39,39,39,38}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xdf}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<194) - 33'",
+    "modulus": "2^194 - 33",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "5"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e196m15_4limbs.json b/src/Specific/CurveParameters/solinas64_2e196m15_4limbs.json
new file mode 100644
index 000000000..0390e5bc7
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e196m15_4limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "49",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,49,49,49}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<196) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,49,49,49}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<196) - 15'",
+    "modulus": "2^196 - 15",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e196m15_5limbs.json b/src/Specific/CurveParameters/solinas64_2e196m15_5limbs.json
new file mode 100644
index 000000000..632a6a494
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e196m15_5limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "39.2",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{40,39,39,39,39}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<196) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{40,39,39,39,39}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<196) - 15'",
+    "modulus": "2^196 - 15",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "5"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e198m17_4limbs.json b/src/Specific/CurveParameters/solinas64_2e198m17_4limbs.json
new file mode 100644
index 000000000..fcdfdf66a
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e198m17_4limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "49.5",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{50,49,50,49}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<198) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{50,49,50,49}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<198) - 17'",
+    "modulus": "2^198 - 17",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e198m17_5limbs.json b/src/Specific/CurveParameters/solinas64_2e198m17_5limbs.json
new file mode 100644
index 000000000..5914300de
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e198m17_5limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "39.6",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{40,40,39,40,39}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<198) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{40,40,39,40,39}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<198) - 17'",
+    "modulus": "2^198 - 17",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "5"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e206m5_4limbs.json b/src/Specific/CurveParameters/solinas64_2e206m5_4limbs.json
new file mode 100644
index 000000000..3e2a60232
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e206m5_4limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "51.5",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,51,52,51}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<206) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,51,52,51}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<206) - 5'",
+    "modulus": "2^206 - 5",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e206m5_5limbs.json b/src/Specific/CurveParameters/solinas64_2e206m5_5limbs.json
new file mode 100644
index 000000000..ddf998eba
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e206m5_5limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "41.2",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{42,41,41,41,41}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<206) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{42,41,41,41,41}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<206) - 5'",
+    "modulus": "2^206 - 5",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "5"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e212m29_4limbs.json b/src/Specific/CurveParameters/solinas64_2e212m29_4limbs.json
new file mode 100644
index 000000000..e4eb5ffc8
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e212m29_4limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "53",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{53,53,53,53}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe3}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<212) - 29'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{53,53,53,53}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe3}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<212) - 29'",
+    "modulus": "2^212 - 29",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e212m29_5limbs.json b/src/Specific/CurveParameters/solinas64_2e212m29_5limbs.json
new file mode 100644
index 000000000..c895ffb89
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e212m29_5limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "42.4",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,42,43,42,42}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe3}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<212) - 29'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,42,43,42,42}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe3}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<212) - 29'",
+    "modulus": "2^212 - 29",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "5"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e213m3_4limbs.json b/src/Specific/CurveParameters/solinas64_2e213m3_4limbs.json
new file mode 100644
index 000000000..0dc66d792
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e213m3_4limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "53.25",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{54,53,53,53}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<213) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{54,53,53,53}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<213) - 3'",
+    "modulus": "2^213 - 3",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e213m3_5limbs.json b/src/Specific/CurveParameters/solinas64_2e213m3_5limbs.json
new file mode 100644
index 000000000..ef546ce26
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e213m3_5limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "42.6",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,43,42,43,42}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<213) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,43,42,43,42}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<213) - 3'",
+    "modulus": "2^213 - 3",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "5"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e216m2e108m1_4limbs.json b/src/Specific/CurveParameters/solinas64_2e216m2e108m1_4limbs.json
new file mode 100644
index 000000000..b728ac8c6
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e216m2e108m1_4limbs.json
@@ -0,0 +1,33 @@
+{
+    "base": "54",
+    "bitwidth": 64,
+    "carry_chains": [
+        [
+            1,
+            3
+        ],
+        [
+            2,
+            0,
+            3,
+            1
+        ],
+        [
+            2,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{54,54,54,54}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<216) - (1_mpz<<108) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{54,54,54,54}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<216) - (1_mpz<<108) - 1'",
+    "goldilocks": true,
+    "modulus": "2^216 - 2^108 - 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e216m2e108m1_5limbs.json b/src/Specific/CurveParameters/solinas64_2e216m2e108m1_5limbs.json
new file mode 100644
index 000000000..9220783f9
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e216m2e108m1_5limbs.json
@@ -0,0 +1,34 @@
+{
+    "base": "43.2",
+    "bitwidth": 64,
+    "carry_chains": [
+        [
+            1,
+            4
+        ],
+        [
+            2,
+            0,
+            3,
+            1,
+            4
+        ],
+        [
+            2,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{44,43,43,43,43}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<216) - (1_mpz<<108) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{44,43,43,43,43}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<216) - (1_mpz<<108) - 1'",
+    "goldilocks": true,
+    "modulus": "2^216 - 2^108 - 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "5"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e221m3_4limbs.json b/src/Specific/CurveParameters/solinas64_2e221m3_4limbs.json
new file mode 100644
index 000000000..760ef60d8
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e221m3_4limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "55.25",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,55,55,55}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<221) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,55,55,55}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<221) - 3'",
+    "modulus": "2^221 - 3",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e221m3_5limbs.json b/src/Specific/CurveParameters/solinas64_2e221m3_5limbs.json
new file mode 100644
index 000000000..1514d6624
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e221m3_5limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "44.2",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{45,44,44,44,44}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<221) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{45,44,44,44,44}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<221) - 3'",
+    "modulus": "2^221 - 3",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "5"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e222m117_4limbs.json b/src/Specific/CurveParameters/solinas64_2e222m117_4limbs.json
new file mode 100644
index 000000000..343debf77
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e222m117_4limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "55.5",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,55,56,55}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x8b}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<222) - 117'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,55,56,55}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x8b}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<222) - 117'",
+    "modulus": "2^222 - 117",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e222m117_5limbs.json b/src/Specific/CurveParameters/solinas64_2e222m117_5limbs.json
new file mode 100644
index 000000000..01d8a5e91
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e222m117_5limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "44.4",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{45,44,45,44,44}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x8b}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<222) - 117'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{45,44,45,44,44}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x8b}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<222) - 117'",
+    "modulus": "2^222 - 117",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "5"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e224m2e96p1_5limbs.json b/src/Specific/CurveParameters/solinas64_2e224m2e96p1_5limbs.json
new file mode 100644
index 000000000..e8243620f
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e224m2e96p1_5limbs.json
@@ -0,0 +1,33 @@
+{
+    "base": "44.8",
+    "bitwidth": 64,
+    "carry_chains": [
+        [
+            1,
+            4
+        ],
+        [
+            2,
+            0,
+            3,
+            1,
+            4
+        ],
+        [
+            2,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{45,45,45,45,44}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<224) - (1_mpz<<96) + 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{45,45,45,45,44}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<224) - (1_mpz<<96) + 1'",
+    "modulus": "2^224 - 2^96 + 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "5"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e224m2e96p1_6limbs.json b/src/Specific/CurveParameters/solinas64_2e224m2e96p1_6limbs.json
new file mode 100644
index 000000000..e2d4c3474
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e224m2e96p1_6limbs.json
@@ -0,0 +1,34 @@
+{
+    "base": "37 + 1/3",
+    "bitwidth": 64,
+    "carry_chains": [
+        [
+            1,
+            5
+        ],
+        [
+            2,
+            0,
+            3,
+            1,
+            4,
+            5
+        ],
+        [
+            2,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{38,37,37,38,37,37}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<224) - (1_mpz<<96) + 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{38,37,37,38,37,37}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<224) - (1_mpz<<96) + 1'",
+    "modulus": "2^224 - 2^96 + 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e226m5_4limbs.json b/src/Specific/CurveParameters/solinas64_2e226m5_4limbs.json
new file mode 100644
index 000000000..e1a5fdb5f
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e226m5_4limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "56.5",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{57,56,57,56}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<226) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{57,56,57,56}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<226) - 5'",
+    "modulus": "2^226 - 5",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e226m5_5limbs.json b/src/Specific/CurveParameters/solinas64_2e226m5_5limbs.json
new file mode 100644
index 000000000..bfc751eb9
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e226m5_5limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "45.2",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{46,45,45,45,45}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<226) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{46,45,45,45,45}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<226) - 5'",
+    "modulus": "2^226 - 5",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "5"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e230m27_4limbs.json b/src/Specific/CurveParameters/solinas64_2e230m27_4limbs.json
new file mode 100644
index 000000000..e8e3eebfa
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e230m27_4limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "57.5",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{58,57,58,57}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<230) - 27'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{58,57,58,57}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<230) - 27'",
+    "modulus": "2^230 - 27",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e230m27_5limbs.json b/src/Specific/CurveParameters/solinas64_2e230m27_5limbs.json
new file mode 100644
index 000000000..2dd1b74b0
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e230m27_5limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "46",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{46,46,46,46,46}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<230) - 27'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{46,46,46,46,46}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<230) - 27'",
+    "modulus": "2^230 - 27",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "5"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e235m15_4limbs.json b/src/Specific/CurveParameters/solinas64_2e235m15_4limbs.json
new file mode 100644
index 000000000..e1a7a4ada
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e235m15_4limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "58.75",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{59,59,59,58}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='30' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<235) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{59,59,59,58}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='30' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<235) - 15'",
+    "modulus": "2^235 - 15",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "4"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e235m15_5limbs.json b/src/Specific/CurveParameters/solinas64_2e235m15_5limbs.json
new file mode 100644
index 000000000..e87ff8f4c
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e235m15_5limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "47",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,47,47,47,47}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='30' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<235) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,47,47,47,47}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='30' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<235) - 15'",
+    "modulus": "2^235 - 15",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "5"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e243m9_5limbs.json b/src/Specific/CurveParameters/solinas64_2e243m9_5limbs.json
new file mode 100644
index 000000000..928df3685
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e243m9_5limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "48.6",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,49,48,49,48}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='31' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<243) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,49,48,49,48}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='31' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<243) - 9'",
+    "modulus": "2^243 - 9",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "5"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e243m9_6limbs.json b/src/Specific/CurveParameters/solinas64_2e243m9_6limbs.json
new file mode 100644
index 000000000..9757ea121
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e243m9_6limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "40.5",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{41,40,41,40,41,40}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='31' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<243) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{41,40,41,40,41,40}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='31' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<243) - 9'",
+    "modulus": "2^243 - 9",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e251m9_5limbs.json b/src/Specific/CurveParameters/solinas64_2e251m9_5limbs.json
new file mode 100644
index 000000000..96d75c483
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e251m9_5limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "50.2",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{51,50,50,50,50}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<251) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{51,50,50,50,50}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<251) - 9'",
+    "modulus": "2^251 - 9",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "5"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e251m9_6limbs.json b/src/Specific/CurveParameters/solinas64_2e251m9_6limbs.json
new file mode 100644
index 000000000..5f7ec3e3e
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e251m9_6limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "41 + 5/6",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{42,42,42,42,42,41}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<251) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{42,42,42,42,42,41}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<251) - 9'",
+    "modulus": "2^251 - 9",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e255m19_5limbs.json b/src/Specific/CurveParameters/solinas64_2e255m19_5limbs.json
new file mode 100644
index 000000000..fc7474a7a
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e255m19_5limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "51",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{51,51,51,51,51}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<255) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{51,51,51,51,51}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<255) - 19'",
+    "modulus": "2^255 - 19",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "5"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e255m19_6limbs.json b/src/Specific/CurveParameters/solinas64_2e255m19_6limbs.json
new file mode 100644
index 000000000..fbaefe20d
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e255m19_6limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "42.5",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,42,43,42,43,42}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<255) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,42,43,42,43,42}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<255) - 19'",
+    "modulus": "2^255 - 19",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e255m765_5limbs.json b/src/Specific/CurveParameters/solinas64_2e255m765_5limbs.json
new file mode 100644
index 000000000..13bc14138
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e255m765_5limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "51",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{51,51,51,51,51}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0x03}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<255) - 765'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{51,51,51,51,51}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0x03}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<255) - 765'",
+    "modulus": "2^255 - 765",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "5"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e255m765_6limbs.json b/src/Specific/CurveParameters/solinas64_2e255m765_6limbs.json
new file mode 100644
index 000000000..f48c1992f
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e255m765_6limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "42.5",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,42,43,42,43,42}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0x03}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<255) - 765'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,42,43,42,43,42}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0x03}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<255) - 765'",
+    "modulus": "2^255 - 765",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e256m189_5limbs.json b/src/Specific/CurveParameters/solinas64_2e256m189_5limbs.json
new file mode 100644
index 000000000..2db4f843e
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e256m189_5limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "51.2",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,51,51,51,51}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x43}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<256) - 189'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,51,51,51,51}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x43}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<256) - 189'",
+    "modulus": "2^256 - 189",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "5"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e256m189_6limbs.json b/src/Specific/CurveParameters/solinas64_2e256m189_6limbs.json
new file mode 100644
index 000000000..395c713c8
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e256m189_6limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "42 + 2/3",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,43,42,43,43,42}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x43}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<256) - 189'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,43,42,43,43,42}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x43}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<256) - 189'",
+    "modulus": "2^256 - 189",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e256m2e224p2e192p2e96m1_5limbs.json b/src/Specific/CurveParameters/solinas64_2e256m2e224p2e192p2e96m1_5limbs.json
new file mode 100644
index 000000000..1313f235c
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e256m2e224p2e192p2e96m1_5limbs.json
@@ -0,0 +1,37 @@
+{
+    "base": "51.2",
+    "bitwidth": 64,
+    "carry_chains": [
+        [
+            3,
+            2,
+            0,
+            4
+        ],
+        [
+            4,
+            3,
+            1,
+            0,
+            2
+        ],
+        [
+            4,
+            3,
+            1,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,51,51,51,51}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<256) - (1_mpz<<224) + (1_mpz<<192) + (1_mpz<<96) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,51,51,51,51}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<256) - (1_mpz<<224) + (1_mpz<<192) + (1_mpz<<96) - 1'",
+    "modulus": "2^256 - 2^224 + 2^192 + 2^96 - 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "5"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e256m2e224p2e192p2e96m1_6limbs.json b/src/Specific/CurveParameters/solinas64_2e256m2e224p2e192p2e96m1_6limbs.json
new file mode 100644
index 000000000..ccfa9a0a7
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e256m2e224p2e192p2e96m1_6limbs.json
@@ -0,0 +1,38 @@
+{
+    "base": "42 + 2/3",
+    "bitwidth": 64,
+    "carry_chains": [
+        [
+            4,
+            3,
+            1,
+            5
+        ],
+        [
+            5,
+            4,
+            2,
+            0,
+            3,
+            1
+        ],
+        [
+            5,
+            4,
+            2,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,43,42,43,43,42}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<256) - (1_mpz<<224) + (1_mpz<<192) + (1_mpz<<96) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,43,42,43,43,42}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<256) - (1_mpz<<224) + (1_mpz<<192) + (1_mpz<<96) - 1'",
+    "modulus": "2^256 - 2^224 + 2^192 + 2^96 - 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e256m2e32m977_6limbs.json b/src/Specific/CurveParameters/solinas64_2e256m2e32m977_6limbs.json
new file mode 100644
index 000000000..d01c3caef
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e256m2e32m977_6limbs.json
@@ -0,0 +1,33 @@
+{
+    "base": "42 + 2/3",
+    "bitwidth": 64,
+    "carry_chains": [
+        [
+            5,
+            5
+        ],
+        [
+            0,
+            1,
+            2,
+            3,
+            4
+        ],
+        [
+            0,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,43,42,43,43,42}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<256) - (1_mpz<<32) - 977'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,43,42,43,43,42}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<256) - (1_mpz<<32) - 977'",
+    "modulus": "2^256 - 2^32 - 977",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e256m2e32m977_7limbs.json b/src/Specific/CurveParameters/solinas64_2e256m2e32m977_7limbs.json
new file mode 100644
index 000000000..8dd259a2e
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e256m2e32m977_7limbs.json
@@ -0,0 +1,34 @@
+{
+    "base": "36 + 4/7",
+    "bitwidth": 64,
+    "carry_chains": [
+        [
+            6,
+            6
+        ],
+        [
+            0,
+            1,
+            2,
+            3,
+            4,
+            5
+        ],
+        [
+            0,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{37,37,36,37,36,37,36}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<256) - (1_mpz<<32) - 977'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{37,37,36,37,36,37,36}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<256) - (1_mpz<<32) - 977'",
+    "modulus": "2^256 - 2^32 - 977",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e256m4294968273_10limbs.json b/src/Specific/CurveParameters/solinas64_2e256m4294968273_10limbs.json
new file mode 100644
index 000000000..f0bb669b4
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e256m4294968273_10limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "25.6",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{26,26,25,26,25,26,26,25,26,25}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<256) - 4294968273'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{26,26,25,26,25,26,26,25,26,25}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<256) - 4294968273'",
+    "modulus": "2^256 - 4294968273",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "10"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e256m4294968273_9limbs.json b/src/Specific/CurveParameters/solinas64_2e256m4294968273_9limbs.json
new file mode 100644
index 000000000..13b5f1162
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e256m4294968273_9limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "28 + 4/9",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{29,28,29,28,29,28,29,28,28}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<256) - 4294968273'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{29,28,29,28,29,28,29,28,28}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<256) - 4294968273'",
+    "modulus": "2^256 - 4294968273",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "9"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e266m3_5limbs.json b/src/Specific/CurveParameters/solinas64_2e266m3_5limbs.json
new file mode 100644
index 000000000..230733ce5
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e266m3_5limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "53.2",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{54,53,53,53,53}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='34' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<266) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{54,53,53,53,53}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='34' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<266) - 3'",
+    "modulus": "2^266 - 3",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "5"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e266m3_6limbs.json b/src/Specific/CurveParameters/solinas64_2e266m3_6limbs.json
new file mode 100644
index 000000000..279f2a0fa
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e266m3_6limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "44 + 1/3",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{45,44,44,45,44,44}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='34' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<266) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{45,44,44,45,44,44}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='34' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<266) - 3'",
+    "modulus": "2^266 - 3",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e285m9_5limbs.json b/src/Specific/CurveParameters/solinas64_2e285m9_5limbs.json
new file mode 100644
index 000000000..72b220406
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e285m9_5limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "57",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{57,57,57,57,57}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='36' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<285) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{57,57,57,57,57}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='36' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<285) - 9'",
+    "modulus": "2^285 - 9",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "5"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e285m9_6limbs.json b/src/Specific/CurveParameters/solinas64_2e285m9_6limbs.json
new file mode 100644
index 000000000..7fd451ea1
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e285m9_6limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "47.5",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,47,48,47,48,47}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='36' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<285) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,47,48,47,48,47}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='36' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<285) - 9'",
+    "modulus": "2^285 - 9",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e291m19_5limbs.json b/src/Specific/CurveParameters/solinas64_2e291m19_5limbs.json
new file mode 100644
index 000000000..047934ac6
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e291m19_5limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "58.2",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{59,58,58,58,58}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='37' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<291) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{59,58,58,58,58}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='37' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<291) - 19'",
+    "modulus": "2^291 - 19",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "5"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e291m19_6limbs.json b/src/Specific/CurveParameters/solinas64_2e291m19_6limbs.json
new file mode 100644
index 000000000..f9cd639bd
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e291m19_6limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "48.5",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,48,49,48,49,48}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='37' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<291) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,48,49,48,49,48}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='37' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<291) - 19'",
+    "modulus": "2^291 - 19",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e321m9_6limbs.json b/src/Specific/CurveParameters/solinas64_2e321m9_6limbs.json
new file mode 100644
index 000000000..e6a43c679
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e321m9_6limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "53.5",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{54,53,54,53,54,53}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<321) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{54,53,54,53,54,53}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<321) - 9'",
+    "modulus": "2^321 - 9",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e321m9_7limbs.json b/src/Specific/CurveParameters/solinas64_2e321m9_7limbs.json
new file mode 100644
index 000000000..22804802a
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e321m9_7limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "45 + 6/7",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{46,46,46,46,46,46,45}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<321) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{46,46,46,46,46,46,45}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<321) - 9'",
+    "modulus": "2^321 - 9",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e322m2e161m1_6limbs.json b/src/Specific/CurveParameters/solinas64_2e322m2e161m1_6limbs.json
new file mode 100644
index 000000000..369590254
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e322m2e161m1_6limbs.json
@@ -0,0 +1,35 @@
+{
+    "base": "53 + 2/3",
+    "bitwidth": 64,
+    "carry_chains": [
+        [
+            2,
+            5
+        ],
+        [
+            3,
+            0,
+            4,
+            1,
+            5,
+            2
+        ],
+        [
+            3,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{54,54,53,54,54,53}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<322) - (1_mpz<<161) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{54,54,53,54,54,53}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<322) - (1_mpz<<161) - 1'",
+    "goldilocks": true,
+    "modulus": "2^322 - 2^161 - 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e322m2e161m1_7limbs.json b/src/Specific/CurveParameters/solinas64_2e322m2e161m1_7limbs.json
new file mode 100644
index 000000000..0d6f4d8e8
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e322m2e161m1_7limbs.json
@@ -0,0 +1,36 @@
+{
+    "base": "46",
+    "bitwidth": 64,
+    "carry_chains": [
+        [
+            2,
+            6
+        ],
+        [
+            3,
+            0,
+            4,
+            1,
+            5,
+            2,
+            6
+        ],
+        [
+            3,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{46,46,46,46,46,46,46}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<322) - (1_mpz<<161) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{46,46,46,46,46,46,46}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<322) - (1_mpz<<161) - 1'",
+    "goldilocks": true,
+    "modulus": "2^322 - 2^161 - 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e336m17_6limbs.json b/src/Specific/CurveParameters/solinas64_2e336m17_6limbs.json
new file mode 100644
index 000000000..08aab358b
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e336m17_6limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "56",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,56,56,56,56,56}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<336) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,56,56,56,56,56}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<336) - 17'",
+    "modulus": "2^336 - 17",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e336m17_7limbs.json b/src/Specific/CurveParameters/solinas64_2e336m17_7limbs.json
new file mode 100644
index 000000000..b242595d6
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e336m17_7limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "48",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48,48,48,48}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<336) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48,48,48,48}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<336) - 17'",
+    "modulus": "2^336 - 17",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e336m3_6limbs.json b/src/Specific/CurveParameters/solinas64_2e336m3_6limbs.json
new file mode 100644
index 000000000..3fa2f5b89
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e336m3_6limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "56",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,56,56,56,56,56}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<336) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,56,56,56,56,56}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<336) - 3'",
+    "modulus": "2^336 - 3",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e336m3_7limbs.json b/src/Specific/CurveParameters/solinas64_2e336m3_7limbs.json
new file mode 100644
index 000000000..2182ac00b
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e336m3_7limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "48",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48,48,48,48}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<336) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48,48,48,48}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<336) - 3'",
+    "modulus": "2^336 - 3",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e338m15_6limbs.json b/src/Specific/CurveParameters/solinas64_2e338m15_6limbs.json
new file mode 100644
index 000000000..be1706289
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e338m15_6limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "56 + 1/3",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{57,56,56,57,56,56}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='43' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<338) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{57,56,56,57,56,56}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='43' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<338) - 15'",
+    "modulus": "2^338 - 15",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "6"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e338m15_7limbs.json b/src/Specific/CurveParameters/solinas64_2e338m15_7limbs.json
new file mode 100644
index 000000000..c390e8d6f
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e338m15_7limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "48 + 2/7",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,48,48,49,48,48,48}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='43' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<338) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,48,48,49,48,48,48}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='43' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<338) - 15'",
+    "modulus": "2^338 - 15",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e369m25_7limbs.json b/src/Specific/CurveParameters/solinas64_2e369m25_7limbs.json
new file mode 100644
index 000000000..b3479f8be
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e369m25_7limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "52 + 5/7",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{53,53,53,52,53,53,52}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='47' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<369) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{53,53,53,52,53,53,52}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='47' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<369) - 25'",
+    "modulus": "2^369 - 25",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e369m25_8limbs.json b/src/Specific/CurveParameters/solinas64_2e369m25_8limbs.json
new file mode 100644
index 000000000..b4e820992
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e369m25_8limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "46.125",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,46,46,46,46,46,46,46}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='47' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<369) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,46,46,46,46,46,46,46}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='47' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<369) - 25'",
+    "modulus": "2^369 - 25",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e379m19_7limbs.json b/src/Specific/CurveParameters/solinas64_2e379m19_7limbs.json
new file mode 100644
index 000000000..fd0f76927
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e379m19_7limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "54 + 1/7",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,54,54,54,54,54,54}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<379) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,54,54,54,54,54,54}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<379) - 19'",
+    "modulus": "2^379 - 19",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e379m19_8limbs.json b/src/Specific/CurveParameters/solinas64_2e379m19_8limbs.json
new file mode 100644
index 000000000..6ab231a34
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e379m19_8limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "47.375",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,47,48,47,47,48,47,47}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<379) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,47,48,47,47,48,47,47}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<379) - 19'",
+    "modulus": "2^379 - 19",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e382m105_7limbs.json b/src/Specific/CurveParameters/solinas64_2e382m105_7limbs.json
new file mode 100644
index 000000000..db5d43404
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e382m105_7limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "54 + 4/7",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,55,54,55,54,55,54}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x97}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<382) - 105'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,55,54,55,54,55,54}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x97}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<382) - 105'",
+    "modulus": "2^382 - 105",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e382m105_8limbs.json b/src/Specific/CurveParameters/solinas64_2e382m105_8limbs.json
new file mode 100644
index 000000000..44a93b62f
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e382m105_8limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "47.75",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,47,48,48,48,47}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x97}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<382) - 105'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,47,48,48,48,47}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x97}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<382) - 105'",
+    "modulus": "2^382 - 105",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e383m187_7limbs.json b/src/Specific/CurveParameters/solinas64_2e383m187_7limbs.json
new file mode 100644
index 000000000..1e1b2078b
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e383m187_7limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "54 + 5/7",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,55,55,54,55,55,54}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<383) - 187'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,55,55,54,55,55,54}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<383) - 187'",
+    "modulus": "2^383 - 187",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e383m187_8limbs.json b/src/Specific/CurveParameters/solinas64_2e383m187_8limbs.json
new file mode 100644
index 000000000..dd00cc973
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e383m187_8limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "47.875",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48,48,48,48,47}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<383) - 187'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48,48,48,48,47}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<383) - 187'",
+    "modulus": "2^383 - 187",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e383m31_7limbs.json b/src/Specific/CurveParameters/solinas64_2e383m31_7limbs.json
new file mode 100644
index 000000000..ca0fceb7b
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e383m31_7limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "54 + 5/7",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,55,55,54,55,55,54}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<383) - 31'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,55,55,54,55,55,54}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<383) - 31'",
+    "modulus": "2^383 - 31",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e383m31_8limbs.json b/src/Specific/CurveParameters/solinas64_2e383m31_8limbs.json
new file mode 100644
index 000000000..b808d3ffb
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e383m31_8limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "47.875",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48,48,48,48,47}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<383) - 31'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48,48,48,48,47}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<383) - 31'",
+    "modulus": "2^383 - 31",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e383m421_7limbs.json b/src/Specific/CurveParameters/solinas64_2e383m421_7limbs.json
new file mode 100644
index 000000000..75c16511d
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e383m421_7limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "54 + 5/7",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,55,55,54,55,55,54}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x5b}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<383) - 421'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,55,55,54,55,55,54}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x5b}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<383) - 421'",
+    "modulus": "2^383 - 421",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e383m421_8limbs.json b/src/Specific/CurveParameters/solinas64_2e383m421_8limbs.json
new file mode 100644
index 000000000..6fc3bb3ee
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e383m421_8limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "47.875",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48,48,48,48,47}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x5b}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<383) - 421'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48,48,48,48,47}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x5b}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<383) - 421'",
+    "modulus": "2^383 - 421",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e384m2e128m2e96p2e32m1_10limbs.json b/src/Specific/CurveParameters/solinas64_2e384m2e128m2e96p2e32m1_10limbs.json
new file mode 100644
index 000000000..e09796758
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e384m2e128m2e96p2e32m1_10limbs.json
@@ -0,0 +1,42 @@
+{
+    "base": "38.4",
+    "bitwidth": 64,
+    "carry_chains": [
+        [
+            2,
+            1,
+            9,
+            9
+        ],
+        [
+            3,
+            2,
+            0,
+            4,
+            1,
+            5,
+            6,
+            7,
+            8,
+            9
+        ],
+        [
+            3,
+            2,
+            0,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{39,38,39,38,38,39,38,39,38,38}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<384) - (1_mpz<<128) - (1_mpz<<96) + (1_mpz<<32) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{39,38,39,38,38,39,38,39,38,38}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<384) - (1_mpz<<128) - (1_mpz<<96) + (1_mpz<<32) - 1'",
+    "modulus": "2^384 - 2^128 - 2^96 + 2^32 - 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "10"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e384m2e128m2e96p2e32m1_9limbs.json b/src/Specific/CurveParameters/solinas64_2e384m2e128m2e96p2e32m1_9limbs.json
new file mode 100644
index 000000000..61e747149
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e384m2e128m2e96p2e32m1_9limbs.json
@@ -0,0 +1,41 @@
+{
+    "base": "42 + 2/3",
+    "bitwidth": 64,
+    "carry_chains": [
+        [
+            2,
+            1,
+            8,
+            8
+        ],
+        [
+            3,
+            2,
+            0,
+            4,
+            1,
+            5,
+            6,
+            7,
+            8
+        ],
+        [
+            3,
+            2,
+            0,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,43,42,43,43,42,43,43,42}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<384) - (1_mpz<<128) - (1_mpz<<96) + (1_mpz<<32) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,43,42,43,43,42,43,43,42}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<384) - (1_mpz<<128) - (1_mpz<<96) + (1_mpz<<32) - 1'",
+    "modulus": "2^384 - 2^128 - 2^96 + 2^32 - 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "9"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e384m317_7limbs.json b/src/Specific/CurveParameters/solinas64_2e384m317_7limbs.json
new file mode 100644
index 000000000..f8f948664
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e384m317_7limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "54 + 6/7",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,55,55,55,55,55,54}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xc3}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<384) - 317'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,55,55,55,55,55,54}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xc3}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<384) - 317'",
+    "modulus": "2^384 - 317",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e384m317_8limbs.json b/src/Specific/CurveParameters/solinas64_2e384m317_8limbs.json
new file mode 100644
index 000000000..15c38b79b
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e384m317_8limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "48",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48,48,48,48,48}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xc3}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<384) - 317'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48,48,48,48,48}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xc3}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<384) - 317'",
+    "modulus": "2^384 - 317",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e389m21_7limbs.json b/src/Specific/CurveParameters/solinas64_2e389m21_7limbs.json
new file mode 100644
index 000000000..24441cc8c
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e389m21_7limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "55 + 4/7",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,56,55,56,55,56,55}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='49' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<389) - 21'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,56,55,56,55,56,55}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='49' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<389) - 21'",
+    "modulus": "2^389 - 21",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e389m21_8limbs.json b/src/Specific/CurveParameters/solinas64_2e389m21_8limbs.json
new file mode 100644
index 000000000..59ceac665
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e389m21_8limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "48.625",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,49,48,49,49,48,49,48}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='49' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<389) - 21'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,49,48,49,49,48,49,48}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='49' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<389) - 21'",
+    "modulus": "2^389 - 21",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e401m31_7limbs.json b/src/Specific/CurveParameters/solinas64_2e401m31_7limbs.json
new file mode 100644
index 000000000..8a51e5f13
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e401m31_7limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "57 + 2/7",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{58,57,57,58,57,57,57}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='51' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<401) - 31'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{58,57,57,58,57,57,57}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='51' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<401) - 31'",
+    "modulus": "2^401 - 31",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e401m31_8limbs.json b/src/Specific/CurveParameters/solinas64_2e401m31_8limbs.json
new file mode 100644
index 000000000..c2c951fea
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e401m31_8limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "50.125",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{51,50,50,50,50,50,50,50}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='51' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<401) - 31'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{51,50,50,50,50,50,50,50}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='51' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<401) - 31'",
+    "modulus": "2^401 - 31",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e413m21_7limbs.json b/src/Specific/CurveParameters/solinas64_2e413m21_7limbs.json
new file mode 100644
index 000000000..bef9bc7cb
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e413m21_7limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "59",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{59,59,59,59,59,59,59}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<413) - 21'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{59,59,59,59,59,59,59}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<413) - 21'",
+    "modulus": "2^413 - 21",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "7"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e413m21_8limbs.json b/src/Specific/CurveParameters/solinas64_2e413m21_8limbs.json
new file mode 100644
index 000000000..d32fdb772
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e413m21_8limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "51.625",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,52,51,52,52,51,52,51}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<413) - 21'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,52,51,52,52,51,52,51}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<413) - 21'",
+    "modulus": "2^413 - 21",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e414m17_8limbs.json b/src/Specific/CurveParameters/solinas64_2e414m17_8limbs.json
new file mode 100644
index 000000000..10752da45
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e414m17_8limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "51.75",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,52,52,51,52,52,52,51}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<414) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,52,52,51,52,52,52,51}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<414) - 17'",
+    "modulus": "2^414 - 17",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e414m17_9limbs.json b/src/Specific/CurveParameters/solinas64_2e414m17_9limbs.json
new file mode 100644
index 000000000..7da1fef4f
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e414m17_9limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "46",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{46,46,46,46,46,46,46,46,46}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<414) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{46,46,46,46,46,46,46,46,46}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<414) - 17'",
+    "modulus": "2^414 - 17",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "9"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e416m2e208m1_8limbs.json b/src/Specific/CurveParameters/solinas64_2e416m2e208m1_8limbs.json
new file mode 100644
index 000000000..ce36e69a4
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e416m2e208m1_8limbs.json
@@ -0,0 +1,37 @@
+{
+    "base": "52",
+    "bitwidth": 64,
+    "carry_chains": [
+        [
+            3,
+            7
+        ],
+        [
+            4,
+            0,
+            5,
+            1,
+            6,
+            2,
+            7,
+            3
+        ],
+        [
+            4,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,52,52,52,52,52,52,52}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<416) - (1_mpz<<208) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,52,52,52,52,52,52,52}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<416) - (1_mpz<<208) - 1'",
+    "goldilocks": true,
+    "modulus": "2^416 - 2^208 - 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e416m2e208m1_9limbs.json b/src/Specific/CurveParameters/solinas64_2e416m2e208m1_9limbs.json
new file mode 100644
index 000000000..43d4e14a2
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e416m2e208m1_9limbs.json
@@ -0,0 +1,38 @@
+{
+    "base": "46 + 2/9",
+    "bitwidth": 64,
+    "carry_chains": [
+        [
+            3,
+            8
+        ],
+        [
+            4,
+            0,
+            5,
+            1,
+            6,
+            2,
+            7,
+            3,
+            8
+        ],
+        [
+            4,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,46,46,46,47,46,46,46,46}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<416) - (1_mpz<<208) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,46,46,46,47,46,46,46,46}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<416) - (1_mpz<<208) - 1'",
+    "goldilocks": true,
+    "modulus": "2^416 - 2^208 - 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "9"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e444m17_8limbs.json b/src/Specific/CurveParameters/solinas64_2e444m17_8limbs.json
new file mode 100644
index 000000000..69f55eade
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e444m17_8limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "55.5",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,55,56,55,56,55,56,55}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<444) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,55,56,55,56,55,56,55}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<444) - 17'",
+    "modulus": "2^444 - 17",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e444m17_9limbs.json b/src/Specific/CurveParameters/solinas64_2e444m17_9limbs.json
new file mode 100644
index 000000000..a50cdcbc5
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e444m17_9limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "49 + 1/3",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{50,49,49,50,49,49,50,49,49}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<444) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{50,49,49,50,49,49,50,49,49}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<444) - 17'",
+    "modulus": "2^444 - 17",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "9"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e448m2e224m1_10limbs.json b/src/Specific/CurveParameters/solinas64_2e448m2e224m1_10limbs.json
new file mode 100644
index 000000000..efdd04156
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e448m2e224m1_10limbs.json
@@ -0,0 +1,39 @@
+{
+    "base": "44.8",
+    "bitwidth": 64,
+    "carry_chains": [
+        [
+            4,
+            9
+        ],
+        [
+            5,
+            0,
+            6,
+            1,
+            7,
+            2,
+            8,
+            3,
+            9,
+            4
+        ],
+        [
+            5,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{45,45,45,45,44,45,45,45,45,44}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<448) - (1_mpz<<224) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{45,45,45,45,44,45,45,45,45,44}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<448) - (1_mpz<<224) - 1'",
+    "goldilocks": true,
+    "modulus": "2^448 - 2^224 - 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "10"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e448m2e224m1_8limbs.json b/src/Specific/CurveParameters/solinas64_2e448m2e224m1_8limbs.json
new file mode 100644
index 000000000..fe86ac402
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e448m2e224m1_8limbs.json
@@ -0,0 +1,37 @@
+{
+    "base": "56",
+    "bitwidth": 64,
+    "carry_chains": [
+        [
+            3,
+            7
+        ],
+        [
+            4,
+            0,
+            5,
+            1,
+            6,
+            2,
+            7,
+            3
+        ],
+        [
+            4,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,56,56,56,56,56,56,56}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<448) - (1_mpz<<224) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,56,56,56,56,56,56,56}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<448) - (1_mpz<<224) - 1'",
+    "goldilocks": true,
+    "modulus": "2^448 - 2^224 - 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e450m2e225m1_10limbs.json b/src/Specific/CurveParameters/solinas64_2e450m2e225m1_10limbs.json
new file mode 100644
index 000000000..08b573c44
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e450m2e225m1_10limbs.json
@@ -0,0 +1,39 @@
+{
+    "base": "45",
+    "bitwidth": 64,
+    "carry_chains": [
+        [
+            4,
+            9
+        ],
+        [
+            5,
+            0,
+            6,
+            1,
+            7,
+            2,
+            8,
+            3,
+            9,
+            4
+        ],
+        [
+            5,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{45,45,45,45,45,45,45,45,45,45}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<450) - (1_mpz<<225) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{45,45,45,45,45,45,45,45,45,45}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<450) - (1_mpz<<225) - 1'",
+    "goldilocks": true,
+    "modulus": "2^450 - 2^225 - 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "10"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e450m2e225m1_8limbs.json b/src/Specific/CurveParameters/solinas64_2e450m2e225m1_8limbs.json
new file mode 100644
index 000000000..31ba16aa6
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e450m2e225m1_8limbs.json
@@ -0,0 +1,37 @@
+{
+    "base": "56.25",
+    "bitwidth": 64,
+    "carry_chains": [
+        [
+            3,
+            7
+        ],
+        [
+            4,
+            0,
+            5,
+            1,
+            6,
+            2,
+            7,
+            3
+        ],
+        [
+            4,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{57,56,56,56,57,56,56,56}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<450) - (1_mpz<<225) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{57,56,56,56,57,56,56,56}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<450) - (1_mpz<<225) - 1'",
+    "goldilocks": true,
+    "modulus": "2^450 - 2^225 - 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e452m3_8limbs.json b/src/Specific/CurveParameters/solinas64_2e452m3_8limbs.json
new file mode 100644
index 000000000..8e4913e9c
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e452m3_8limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "56.5",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{57,56,57,56,57,56,57,56}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<452) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{57,56,57,56,57,56,57,56}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<452) - 3'",
+    "modulus": "2^452 - 3",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e452m3_9limbs.json b/src/Specific/CurveParameters/solinas64_2e452m3_9limbs.json
new file mode 100644
index 000000000..ec5222ae4
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e452m3_9limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "50 + 2/9",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{51,50,50,50,51,50,50,50,50}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<452) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{51,50,50,50,51,50,50,50,50}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<452) - 3'",
+    "modulus": "2^452 - 3",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "9"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e468m17_8limbs.json b/src/Specific/CurveParameters/solinas64_2e468m17_8limbs.json
new file mode 100644
index 000000000..e2bd17fc5
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e468m17_8limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "58.5",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{59,58,59,58,59,58,59,58}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='59' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<468) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{59,58,59,58,59,58,59,58}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='59' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<468) - 17'",
+    "modulus": "2^468 - 17",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e468m17_9limbs.json b/src/Specific/CurveParameters/solinas64_2e468m17_9limbs.json
new file mode 100644
index 000000000..ca367ecff
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e468m17_9limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "52",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,52,52,52,52,52,52,52,52}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='59' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<468) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,52,52,52,52,52,52,52,52}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='59' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<468) - 17'",
+    "modulus": "2^468 - 17",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "9"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e480m2e240m1_10limbs.json b/src/Specific/CurveParameters/solinas64_2e480m2e240m1_10limbs.json
new file mode 100644
index 000000000..7d260d2f2
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e480m2e240m1_10limbs.json
@@ -0,0 +1,39 @@
+{
+    "base": "48",
+    "bitwidth": 64,
+    "carry_chains": [
+        [
+            4,
+            9
+        ],
+        [
+            5,
+            0,
+            6,
+            1,
+            7,
+            2,
+            8,
+            3,
+            9,
+            4
+        ],
+        [
+            5,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48,48,48,48,48,48,48}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='60' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<480) - (1_mpz<<240) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48,48,48,48,48,48,48}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='60' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<480) - (1_mpz<<240) - 1'",
+    "goldilocks": true,
+    "modulus": "2^480 - 2^240 - 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "10"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e480m2e240m1_8limbs.json b/src/Specific/CurveParameters/solinas64_2e480m2e240m1_8limbs.json
new file mode 100644
index 000000000..199faa549
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e480m2e240m1_8limbs.json
@@ -0,0 +1,37 @@
+{
+    "base": "60",
+    "bitwidth": 64,
+    "carry_chains": [
+        [
+            3,
+            7
+        ],
+        [
+            4,
+            0,
+            5,
+            1,
+            6,
+            2,
+            7,
+            3
+        ],
+        [
+            4,
+            0
+        ]
+    ],
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{60,60,60,60,60,60,60,60}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='60' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<480) - (1_mpz<<240) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{60,60,60,60,60,60,60,60}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='60' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<480) - (1_mpz<<240) - 1'",
+    "goldilocks": true,
+    "modulus": "2^480 - 2^240 - 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "8"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e488m17_10limbs.json b/src/Specific/CurveParameters/solinas64_2e488m17_10limbs.json
new file mode 100644
index 000000000..8dc0a1455
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e488m17_10limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "48.8",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,49,49,49,48,49,49,49,49,48}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='61' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<488) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,49,49,49,48,49,49,49,49,48}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='61' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<488) - 17'",
+    "modulus": "2^488 - 17",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "10"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e488m17_9limbs.json b/src/Specific/CurveParameters/solinas64_2e488m17_9limbs.json
new file mode 100644
index 000000000..ea15110cb
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e488m17_9limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "54 + 2/9",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,54,54,54,55,54,54,54,54}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='61' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<488) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,54,54,54,55,54,54,54,54}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='61' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<488) - 17'",
+    "modulus": "2^488 - 17",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "9"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e489m21_10limbs.json b/src/Specific/CurveParameters/solinas64_2e489m21_10limbs.json
new file mode 100644
index 000000000..5d9bdada8
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e489m21_10limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "48.9",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,49,49,49,49,49,49,49,49,48}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<489) - 21'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,49,49,49,49,49,49,49,49,48}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<489) - 21'",
+    "modulus": "2^489 - 21",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "10"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e489m21_9limbs.json b/src/Specific/CurveParameters/solinas64_2e489m21_9limbs.json
new file mode 100644
index 000000000..7ea6e38d4
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e489m21_9limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "54 + 1/3",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,54,54,55,54,54,55,54,54}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<489) - 21'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,54,54,55,54,54,55,54,54}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<489) - 21'",
+    "modulus": "2^489 - 21",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "9"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e495m31_10limbs.json b/src/Specific/CurveParameters/solinas64_2e495m31_10limbs.json
new file mode 100644
index 000000000..cc6a1946c
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e495m31_10limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "49.5",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{50,49,50,49,50,49,50,49,50,49}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<495) - 31'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{50,49,50,49,50,49,50,49,50,49}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<495) - 31'",
+    "modulus": "2^495 - 31",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "10"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e495m31_9limbs.json b/src/Specific/CurveParameters/solinas64_2e495m31_9limbs.json
new file mode 100644
index 000000000..2ee6173c1
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e495m31_9limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "55",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,55,55,55,55,55,55,55,55}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<495) - 31'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,55,55,55,55,55,55,55,55}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<495) - 31'",
+    "modulus": "2^495 - 31",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "9"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e511m187_10limbs.json b/src/Specific/CurveParameters/solinas64_2e511m187_10limbs.json
new file mode 100644
index 000000000..f7e0519bc
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e511m187_10limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "51.1",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,51,51,51,51,51,51,51,51,51}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<511) - 187'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,51,51,51,51,51,51,51,51,51}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<511) - 187'",
+    "modulus": "2^511 - 187",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "10"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e511m187_11limbs.json b/src/Specific/CurveParameters/solinas64_2e511m187_11limbs.json
new file mode 100644
index 000000000..e7366410c
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e511m187_11limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "46 + 5/11",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,46,47,46,47,46,47,46,47,46,46}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<511) - 187'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,46,47,46,47,46,47,46,47,46,46}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<511) - 187'",
+    "modulus": "2^511 - 187",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "11"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e511m481_10limbs.json b/src/Specific/CurveParameters/solinas64_2e511m481_10limbs.json
new file mode 100644
index 000000000..894a698a1
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e511m481_10limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "51.1",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,51,51,51,51,51,51,51,51,51}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x1f}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<511) - 481'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,51,51,51,51,51,51,51,51,51}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x1f}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<511) - 481'",
+    "modulus": "2^511 - 481",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "10"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e511m481_11limbs.json b/src/Specific/CurveParameters/solinas64_2e511m481_11limbs.json
new file mode 100644
index 000000000..c448c4d2a
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e511m481_11limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "46 + 5/11",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,46,47,46,47,46,47,46,47,46,46}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x1f}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<511) - 481'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,46,47,46,47,46,47,46,47,46,46}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x1f}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<511) - 481'",
+    "modulus": "2^511 - 481",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "11"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e512m569_10limbs.json b/src/Specific/CurveParameters/solinas64_2e512m569_10limbs.json
new file mode 100644
index 000000000..4fadeab8b
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e512m569_10limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "51.2",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,51,51,51,51,52,51,51,51,51}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xc7}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<512) - 569'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,51,51,51,51,52,51,51,51,51}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xc7}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<512) - 569'",
+    "modulus": "2^512 - 569",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "10"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e512m569_11limbs.json b/src/Specific/CurveParameters/solinas64_2e512m569_11limbs.json
new file mode 100644
index 000000000..8e0d053fc
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e512m569_11limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "46 + 6/11",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,47,46,47,46,47,46,47,46,47,46}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xc7}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<512) - 569'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,47,46,47,46,47,46,47,46,47,46}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xc7}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<512) - 569'",
+    "modulus": "2^512 - 569",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "11"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e521m1_10limbs.json b/src/Specific/CurveParameters/solinas64_2e521m1_10limbs.json
new file mode 100644
index 000000000..006c99443
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e521m1_10limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "52.1",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{53,52,52,52,52,52,52,52,52,52}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='66' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<521) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{53,52,52,52,52,52,52,52,52,52}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='66' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<521) - 1'",
+    "modulus": "2^521 - 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "10"
+}
diff --git a/src/Specific/CurveParameters/solinas64_2e521m1_9limbs.json b/src/Specific/CurveParameters/solinas64_2e521m1_9limbs.json
new file mode 100644
index 000000000..7b11511a8
--- /dev/null
+++ b/src/Specific/CurveParameters/solinas64_2e521m1_9limbs.json
@@ -0,0 +1,17 @@
+{
+    "base": "57 + 8/9",
+    "bitwidth": 64,
+    "carry_chains": "default",
+    "coef_div_modulus": "2",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{58,58,58,58,58,58,58,58,57}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='66' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<521) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{58,58,58,58,58,58,58,58,57}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='66' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<521) - 1'",
+    "modulus": "2^521 - 1",
+    "operations": [
+        "femul",
+        "feadd",
+        "fesub",
+        "fesquare",
+        "freeze"
+    ],
+    "sz": "9"
+}