Update MNT4-753

mnt4_753/src/fields/fq2.rs

@@ -1,6 +1,5 @@
 use crate::{Fq, FQ_ONE};
 use ark_ff::{
-    biginteger::BigInteger768 as BigInteger,
     field_new,
     fields::fp2::{Fp2, Fp2Parameters},
 };
@@ -14,64 +13,16 @@ impl Fp2Parameters for Fq2Parameters {
 
     // non_residue = 13
     #[rustfmt::skip]
-    const NONRESIDUE: Fq = field_new!(Fq, BigInteger([
-            11881297496860141143,
-            13588356353764843511,
-            9969398190777826186,
-            17325157081734070311,
-            16341533986183788031,
-            8322434028726676858,
-            13631157743146294957,
-            8365783422740577875,
-            3010239015809771096,
-            11776256826687733591,
-            7214251687253691272,
-            268626707558702
-    ]));
+    const NONRESIDUE: Fq = field_new!(Fq, "13");
 
     // qnr = (8, 1)
-    const QUADRATIC_NONRESIDUE: (Self::Fp, Self::Fp) = (
-        field_new!(
-            Fq,
-            BigInteger([
-                587330122779359758,
-                14352661462510473462,
-                17802452401246596498,
-                18018663494943049411,
-                17948754733747257098,
-                10253180574146027531,
-                6683223122694781837,
-                13573468617269213174,
-                5059368039312883748,
-                950479668716233863,
-                9936591501985804621,
-                88719447132658
-            ])
-        ),
-        FQ_ONE,
-    );
+    const QUADRATIC_NONRESIDUE: (Self::Fp, Self::Fp) = (field_new!(Fq, "8"), FQ_ONE);
 
     // Coefficients:
     // [1, 41898490967918953402344214791240637128170709919953949071783502921025352812571106773058893763790338921418070971888253786114353726529584385201591605722013126468931404347949840543007986327743462853720628051692141265303114721689600]
     // see https://github.com/o1-labs/snarky/blob/2cf5ef3a14989e57c17518832b3c52590068fc48/src/camlsnark_c/libsnark-caml/depends/libff/libff/algebra/curves/mnt753/mnt4753/mnt4753_init.cpp
     const FROBENIUS_COEFF_FP2_C1: &'static [Self::Fp] = &[
         FQ_ONE,
-        field_new!(
-            Fq,
-            BigInteger([
-                14260497802974073023,
-                5895249896161266456,
-                14682908860938702530,
-                17222385991615618722,
-                14621060510943733448,
-                10594887362868996148,
-                7477357615964975684,
-                12570239403004322603,
-                2180620924574446161,
-                12129628062772479841,
-                8853285699251153944,
-                362282887012814
-            ])
-        ),
+        field_new!(Fq, "41898490967918953402344214791240637128170709919953949071783502921025352812571106773058893763790338921418070971888253786114353726529584385201591605722013126468931404347949840543007986327743462853720628051692141265303114721689600"),
     ];
 }

mnt4_753/src/fields/fq4.rs

@@ -1,6 +1,5 @@
 use crate::{Fq, Fq2, Fq2Parameters, FQ_ONE, FQ_ZERO};
 use ark_ff::{
-    biginteger::BigInteger768 as BigInteger,
     field_new,
     fields::fp4::{Fp4, Fp4Parameters},
 };
@@ -22,47 +21,8 @@ impl Fp4Parameters for Fq4Parameters {
     #[rustfmt::skip]
     const FROBENIUS_COEFF_FP4_C1: &'static [Fq] = &[
         FQ_ONE,
-        field_new!(Fq, BigInteger([
-            2732208433323581659,
-            2172983777736624684,
-            14351170316343013496,
-            6345300643186282385,
-            3197292113538174065,
-            1887663496013421009,
-            16627860175048929982,
-            1842296636815120666,
-            13463717484107308085,
-            721000253033730237,
-            1214767992212094798,
-            163570781165682,
-         ])),
-        field_new!(Fq, BigInteger([
-            14260497802974073023,
-            5895249896161266456,
-            14682908860938702530,
-            17222385991615618722,
-            14621060510943733448,
-            10594887362868996148,
-            7477357615964975684,
-            12570239403004322603,
-            2180620924574446161,
-            12129628062772479841,
-            8853285699251153944,
-            362282887012814,
-        ])),
-        field_new!(Fq, BigInteger([
-            4081847608632041254,
-            14228374352133326707,
-            11267574244067947896,
-            1174247187748832530,
-            10065542319823237575,
-            10873259071217986508,
-            12902564573729719519,
-            17180267336735511666,
-            11808206507871910973,
-            12535793096497356591,
-            18394626215023595103,
-            334259642706846,
-        ])),
+        field_new!(Fq, "18691656569803771296244054523431852464958959799019013859007259692542121208304602539555350517075508287829753932558576476751900235650227380562700444433662761577027341858128610410779088384480737679672900770810745291515010467307990"),
+        field_new!(Fq, "41898490967918953402344214791240637128170709919953949071783502921025352812571106773058893763790338921418070971888253786114353726529584385201591605722013126468931404347949840543007986327743462853720628051692141265303114721689600"),
+        field_new!(Fq, "23206834398115182106100160267808784663211750120934935212776243228483231604266504233503543246714830633588317039329677309362453490879357004638891167538350364891904062489821230132228897943262725174047727280881395973788104254381611"),
     ];
 }