mirror of
https://github.com/arnaucube/ark-curves-cherry-picked.git
synced 2026-01-27 14:13:46 +01:00
Update BN254
This commit is contained in:
Pratyush Mishra
@@ -1,5 +1,5 @@
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use super::*;
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use ark_ff::{biginteger::BigInteger256, field_new, fields::*};
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use ark_ff::{field_new, fields::*};
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pub type Fq6 = Fp6<Fq6Parameters>;
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@@ -11,175 +11,72 @@ impl Fp6Parameters for Fq6Parameters {
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/// NONRESIDUE = U+9
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#[rustfmt::skip]
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const NONRESIDUE: Fq2 = field_new!(Fq2,
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field_new!(Fq, BigInteger256([
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0xf60647ce410d7ff7,
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0x2f3d6f4dd31bd011,
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0x2943337e3940c6d1,
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0x1d9598e8a7e39857,
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])),
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field_new!(Fq, BigInteger256([
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202099033278250856u64,
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8885205928937022213u64,
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5545221690922665192u64,
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39800542322357402u64,
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])),
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);
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const NONRESIDUE: Fq2 = field_new!(Fq2, field_new!(Fq, "9"), field_new!(Fq, "1"));
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#[rustfmt::skip]
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const FROBENIUS_COEFF_FP6_C1: &'static [Fq2] = &[
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// Fp2::NONRESIDUE^(((q^0) - 1) / 3)
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field_new!(Fq2,
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field_new!(Fq, BigInteger256([
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0xd35d438dc58f0d9d,
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0x0a78eb28f5c70b3d,
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0x666ea36f7879462c,
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0xe0a77c19a07df2f,
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])),
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field_new!(Fq, BigInteger256([0x0, 0x0, 0x0, 0x0])),
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field_new!(Fq2,
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field_new!(Fq, "1"),
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field_new!(Fq, "0"),
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),
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// Fp2::NONRESIDUE^(((q^1) - 1) / 3)
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field_new!(Fq2,
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field_new!(Fq, BigInteger256([
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0xb5773b104563ab30,
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0x347f91c8a9aa6454,
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0x7a007127242e0991,
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0x1956bcd8118214ec,
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])),
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field_new!(Fq, BigInteger256([
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0x6e849f1ea0aa4757,
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0xaa1c7b6d89f89141,
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0xb6e713cdfae0ca3a,
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0x26694fbb4e82ebc3,
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])),
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field_new!(Fq2,
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field_new!(Fq, "21575463638280843010398324269430826099269044274347216827212613867836435027261"),
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field_new!(Fq, "10307601595873709700152284273816112264069230130616436755625194854815875713954"),
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),
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// Fp2::NONRESIDUE^(((q^2) - 1) / 3)
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field_new!(Fq2,
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field_new!(Fq, BigInteger256([
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0x3350c88e13e80b9c,
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0x7dce557cdb5e56b9,
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0x6001b4b8b615564a,
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0x2682e617020217e0,
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])),
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field_new!(Fq, BigInteger256([0x0, 0x0, 0x0, 0x0])),
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field_new!(Fq2,
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field_new!(Fq, "21888242871839275220042445260109153167277707414472061641714758635765020556616"),
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field_new!(Fq, "0"),
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),
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// Fp2::NONRESIDUE^(((q^3) - 1) / 3)
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field_new!(Fq2,
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field_new!(Fq, BigInteger256([
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0xc9af22f716ad6bad,
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0xb311782a4aa662b2,
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0x19eeaf64e248c7f4,
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0x20273e77e3439f82,
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])),
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field_new!(Fq, BigInteger256([
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0xacc02860f7ce93ac,
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0x3933d5817ba76b4c,
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0x69e6188b446c8467,
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0xa46036d4417cc55,
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])),
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field_new!(Fq2,
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field_new!(Fq, "3772000881919853776433695186713858239009073593817195771773381919316419345261"),
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field_new!(Fq, "2236595495967245188281701248203181795121068902605861227855261137820944008926"),
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),
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// Fp2::NONRESIDUE^(((q^4) - 1) / 3)
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field_new!(Fq2,
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field_new!(Fq, BigInteger256([
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0x71930c11d782e155,
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0xa6bb947cffbe3323,
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0xaa303344d4741444,
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0x2c3b3f0d26594943,
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])),
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field_new!(Fq, BigInteger256([0x0, 0x0, 0x0, 0x0])),
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field_new!(Fq2,
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field_new!(Fq, "2203960485148121921418603742825762020974279258880205651966"),
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field_new!(Fq, "0"),
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),
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// Fp2::NONRESIDUE^(((q^5) - 1) / 3)
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field_new!(Fq2,
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field_new!(Fq, BigInteger256([
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0xf91aba2654e8e3b1,
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0x4771cb2fdc92ce12,
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0xdcb16ae0fc8bdf35,
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0x274aa195cd9d8be4,
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])),
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field_new!(Fq, BigInteger256([
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0x5cfc50ae18811f8b,
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0x4bb28433cb43988c,
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0x4fd35f13c3b56219,
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0x301949bd2fc8883a,
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])),
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field_new!(Fq2,
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field_new!(Fq, "18429021223477853657660792034369865839114504446431234726392080002137598044644"),
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field_new!(Fq, "9344045779998320333812420223237981029506012124075525679208581902008406485703"),
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),
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];
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#[rustfmt::skip]
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const FROBENIUS_COEFF_FP6_C2: &'static [Fq2] = &[
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// Fp2::NONRESIDUE^((2*(q^0) - 2) / 3)
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field_new!(Fq2,
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field_new!(Fq, BigInteger256([
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0xd35d438dc58f0d9d,
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0x0a78eb28f5c70b3d,
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0x666ea36f7879462c,
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0xe0a77c19a07df2f,
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])),
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field_new!(Fq, BigInteger256([0x0, 0x0, 0x0, 0x0])),
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field_new!(Fq2,
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field_new!(Fq, "1"),
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field_new!(Fq, "0"),
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),
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// Fp2::NONRESIDUE^((2*(q^1) - 2) / 3)
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field_new!(Fq2,
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field_new!(Fq, BigInteger256([
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0x7361d77f843abe92,
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0xa5bb2bd3273411fb,
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0x9c941f314b3e2399,
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0x15df9cddbb9fd3ec,
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])),
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field_new!(Fq, BigInteger256([
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0x5dddfd154bd8c949,
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0x62cb29a5a4445b60,
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0x37bc870a0c7dd2b9,
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0x24830a9d3171f0fd,
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])),
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field_new!(Fq2,
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field_new!(Fq, "2581911344467009335267311115468803099551665605076196740867805258568234346338"),
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field_new!(Fq, "19937756971775647987995932169929341994314640652964949448313374472400716661030"),
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),
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// Fp2::NONRESIDUE^((2*(q^2) - 2) / 3)
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field_new!(Fq2,
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field_new!(Fq, BigInteger256([
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0x71930c11d782e155,
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0xa6bb947cffbe3323,
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0xaa303344d4741444,
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0x2c3b3f0d26594943,
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])),
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field_new!(Fq, BigInteger256([0x0, 0x0, 0x0, 0x0])),
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field_new!(Fq2,
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field_new!(Fq, "2203960485148121921418603742825762020974279258880205651966"),
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field_new!(Fq, "0"),
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),
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// Fp2::NONRESIDUE^((2*(q^3) - 2) / 3)
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field_new!(Fq2,
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field_new!(Fq, BigInteger256([
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0x448a93a57b6762df,
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0xbfd62df528fdeadf,
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0xd858f5d00e9bd47a,
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0x6b03d4d3476ec58,
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])),
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field_new!(Fq, BigInteger256([
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0x2b19daf4bcc936d1,
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0xa1a54e7a56f4299f,
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0xb533eee05adeaef1,
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0x170c812b84dda0b2,
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])),
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field_new!(Fq2,
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field_new!(Fq, "5324479202449903542726783395506214481928257762400643279780343368557297135718"),
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field_new!(Fq, "16208900380737693084919495127334387981393726419856888799917914180988844123039"),
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),
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// Fp2::NONRESIDUE^((2*(q^4) - 2) / 3)
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field_new!(Fq2,
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field_new!(Fq, BigInteger256([
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0x3350c88e13e80b9c,
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0x7dce557cdb5e56b9,
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0x6001b4b8b615564a,
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0x2682e617020217e0,
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])),
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field_new!(Fq, BigInteger256([0x0, 0x0, 0x0, 0x0])),
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field_new!(Fq2,
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field_new!(Fq, "21888242871839275220042445260109153167277707414472061641714758635765020556616"),
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field_new!(Fq, "0"),
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),
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// Fp2::NONRESIDUE^((2*(q^5) - 2) / 3)
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field_new!(Fq2,
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field_new!(Fq, BigInteger256([
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0x843420f1d8dadbd6,
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0x31f010c9183fcdb2,
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0x436330b527a76049,
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0x13d47447f11adfe4,
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])),
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field_new!(Fq, BigInteger256([
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0xef494023a857fa74,
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0x2a925d02d5ab101a,
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0x83b015829ba62f10,
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0x2539111d0c13aea3,
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])),
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field_new!(Fq2,
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field_new!(Fq, "13981852324922362344252311234282257507216387789820983642040889267519694726527"),
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field_new!(Fq, "7629828391165209371577384193250820201684255241773809077146787135900891633097"),
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),
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];
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