// -*- mode: rust; -*- // // This file is part of curve25519-dalek. // Copyright (c) 2016-2019 Isis Lovecruft, Henry de Valence // See LICENSE for licensing information. // // Authors: // - Isis Agora Lovecruft // - Henry de Valence //! This module contains various constants (such as curve parameters //! and useful field elements like `sqrt(-1)`), as well as //! lookup tables of pre-computed points. use backend::serial::curve_models::AffineNielsPoint; use backend::serial::u32::field::FieldElement2625; use backend::serial::u32::scalar::Scalar29; use edwards::{EdwardsBasepointTable, EdwardsPoint}; use window::{LookupTable, NafLookupTable8}; /// The value of minus one, equal to `-&FieldElement::one()` pub(crate) const MINUS_ONE: FieldElement2625 = FieldElement2625([ 67108844, 33554431, 67108863, 33554431, 67108863, 33554431, 67108863, 33554431, 67108863, 33554431 ]); /// Edwards `d` value, equal to `-121665/121666 mod p`. pub(crate) const EDWARDS_D: FieldElement2625 = FieldElement2625([ 56195235, 13857412, 51736253, 6949390, 114729, 24766616, 60832955, 30306712, 48412415, 21499315, ]); /// Edwards `2*d` value, equal to `2*(-121665/121666) mod p`. pub(crate) const EDWARDS_D2: FieldElement2625 = FieldElement2625([ 45281625, 27714825, 36363642, 13898781, 229458, 15978800, 54557047, 27058993, 29715967, 9444199, ]); /// One minus edwards `d` value squared, equal to `(1 - (-121665/121666) mod p) pow 2` pub(crate) const ONE_MINUS_EDWARDS_D_SQUARED: FieldElement2625 = FieldElement2625([ 6275446, 16937061, 44170319, 29780721, 11667076, 7397348, 39186143, 1766194, 42675006, 672202 ]); /// Edwards `d` value minus one squared, equal to `(((-121665/121666) mod p) - 1) pow 2` pub(crate) const EDWARDS_D_MINUS_ONE_SQUARED: FieldElement2625 = FieldElement2625([ 15551776, 22456977, 53683765, 23429360, 55212328, 10178283, 40474537, 4729243, 61826754, 23438029 ]); /// `= sqrt(a*d - 1)`, where `a = -1 (mod p)`, `d` are the Edwards curve parameters. pub(crate) const SQRT_AD_MINUS_ONE: FieldElement2625 = FieldElement2625([ 24849947, 33400850, 43495378, 6347714, 46036536, 32887293, 41837720, 18186727, 66238516, 14525638, ]); /// `= 1/sqrt(a-d)`, where `a = -1 (mod p)`, `d` are the Edwards curve parameters. pub(crate) const INVSQRT_A_MINUS_D: FieldElement2625 = FieldElement2625([ 6111466, 4156064, 39310137, 12243467, 41204824, 120896, 20826367, 26493656, 6093567, 31568420, ]); /// Precomputed value of one of the square roots of -1 (mod p) pub(crate) const SQRT_M1: FieldElement2625 = FieldElement2625([ 34513072, 25610706, 9377949, 3500415, 12389472, 33281959, 41962654, 31548777, 326685, 11406482, ]); /// `APLUS2_OVER_FOUR` is (A+2)/4. (This is used internally within the Montgomery ladder.) pub(crate) const APLUS2_OVER_FOUR: FieldElement2625 = FieldElement2625([121666, 0, 0, 0, 0, 0, 0, 0, 0, 0]); /// `L` is the order of base point, i.e. 2^252 + /// 27742317777372353535851937790883648493 pub(crate) const L: Scalar29 = Scalar29([ 0x1cf5d3ed, 0x009318d2, 0x1de73596, 0x1df3bd45, 0x0000014d, 0x00000000, 0x00000000, 0x00000000, 0x00100000, ]); /// `L` * `LFACTOR` = -1 (mod 2^29) pub(crate) const LFACTOR: u32 = 0x12547e1b; /// `R` = R % L where R = 2^261 pub(crate) const R: Scalar29 = Scalar29([ 0x114df9ed, 0x1a617303, 0x0f7c098c, 0x16793167, 0x1ffd656e, 0x1fffffff, 0x1fffffff, 0x1fffffff, 0x000fffff, ]); /// `RR` = (R^2) % L where R = 2^261 pub(crate) const RR: Scalar29 = Scalar29([ 0x0b5f9d12, 0x1e141b17, 0x158d7f3d, 0x143f3757, 0x1972d781, 0x042feb7c, 0x1ceec73d, 0x1e184d1e, 0x0005046d, ]); /// The Ed25519 basepoint, as an `EdwardsPoint`. /// /// This is called `_POINT` to distinguish it from /// `ED25519_BASEPOINT_TABLE`, which should be used for scalar /// multiplication (it's much faster). pub const ED25519_BASEPOINT_POINT: EdwardsPoint = EdwardsPoint { X: FieldElement2625([ 52811034, 25909283, 16144682, 17082669, 27570973, 30858332, 40966398, 8378388, 20764389, 8758491, ]), Y: FieldElement2625([ 40265304, 26843545, 13421772, 20132659, 26843545, 6710886, 53687091, 13421772, 40265318, 26843545, ]), Z: FieldElement2625([1, 0, 0, 0, 0, 0, 0, 0, 0, 0]), T: FieldElement2625([ 28827043, 27438313, 39759291, 244362, 8635006, 11264893, 19351346, 13413597, 16611511, 27139452, ]), }; /// The 8-torsion subgroup \\(\mathcal E [8]\\). /// /// In the case of Curve25519, it is cyclic; the \\(i\\)-th element of /// the array is \\([i]P\\), where \\(P\\) is a point of order \\(8\\) /// generating \\(\mathcal E[8]\\). /// /// Thus \\(\mathcal E[4]\\) is the points indexed by `0,2,4,6`, and /// \\(\mathcal E[2]\\) is the points indexed by `0,4`. /// The Ed25519 basepoint has y = 4/5. This is called `_POINT` to /// distinguish it from `_TABLE`, which should be used for scalar /// multiplication (it's much faster). pub const EIGHT_TORSION: [EdwardsPoint; 8] = EIGHT_TORSION_INNER_DOC_HIDDEN; /// Inner item used to hide limb constants from cargo doc output. #[doc(hidden)] pub const EIGHT_TORSION_INNER_DOC_HIDDEN: [EdwardsPoint; 8] = [ EdwardsPoint { X: FieldElement2625([0, 0, 0, 0, 0, 0, 0, 0, 0, 0]), Y: FieldElement2625([1, 0, 0, 0, 0, 0, 0, 0, 0, 0]), Z: FieldElement2625([1, 0, 0, 0, 0, 0, 0, 0, 0, 0]), T: FieldElement2625([0, 0, 0, 0, 0, 0, 0, 0, 0, 0]), }, EdwardsPoint { X: FieldElement2625([ 21352778, 5345713, 4660180, 25206575, 24143089, 14568123, 30185756, 21306662, 33579924, 8345318, ]), Y: FieldElement2625([ 6952903, 1265500, 60246523, 7057497, 4037696, 5447722, 35427965, 15325401, 19365852, 31985330, ]), Z: FieldElement2625([1, 0, 0, 0, 0, 0, 0, 0, 0, 0]), T: FieldElement2625([ 41846657, 21581751, 11716001, 27684820, 48915701, 16297738, 20670665, 24995334, 3541542, 28543251, ]), }, EdwardsPoint { X: FieldElement2625([ 32595773, 7943725, 57730914, 30054016, 54719391, 272472, 25146209, 2005654, 66782178, 22147949, ]), Y: FieldElement2625([0, 0, 0, 0, 0, 0, 0, 0, 0, 0]), Z: FieldElement2625([1, 0, 0, 0, 0, 0, 0, 0, 0, 0]), T: FieldElement2625([0, 0, 0, 0, 0, 0, 0, 0, 0, 0]), }, EdwardsPoint { X: FieldElement2625([ 21352778, 5345713, 4660180, 25206575, 24143089, 14568123, 30185756, 21306662, 33579924, 8345318, ]), Y: FieldElement2625([ 60155942, 32288931, 6862340, 26496934, 63071167, 28106709, 31680898, 18229030, 47743011, 1569101, ]), Z: FieldElement2625([1, 0, 0, 0, 0, 0, 0, 0, 0, 0]), T: FieldElement2625([ 25262188, 11972680, 55392862, 5869611, 18193162, 17256693, 46438198, 8559097, 63567321, 5011180, ]), }, EdwardsPoint { X: FieldElement2625([0, 0, 0, 0, 0, 0, 0, 0, 0, 0]), Y: FieldElement2625([ 67108844, 33554431, 67108863, 33554431, 67108863, 33554431, 67108863, 33554431, 67108863, 33554431, ]), Z: FieldElement2625([1, 0, 0, 0, 0, 0, 0, 0, 0, 0]), T: FieldElement2625([0, 0, 0, 0, 0, 0, 0, 0, 0, 0]), }, EdwardsPoint { X: FieldElement2625([ 45756067, 28208718, 62448683, 8347856, 42965774, 18986308, 36923107, 12247769, 33528939, 25209113, ]), Y: FieldElement2625([ 60155942, 32288931, 6862340, 26496934, 63071167, 28106709, 31680898, 18229030, 47743011, 1569101, ]), Z: FieldElement2625([1, 0, 0, 0, 0, 0, 0, 0, 0, 0]), T: FieldElement2625([ 41846657, 21581751, 11716001, 27684820, 48915701, 16297738, 20670665, 24995334, 3541542, 28543251, ]), }, EdwardsPoint { X: FieldElement2625([ 34513072, 25610706, 9377949, 3500415, 12389472, 33281959, 41962654, 31548777, 326685, 11406482, ]), Y: FieldElement2625([0, 0, 0, 0, 0, 0, 0, 0, 0, 0]), Z: FieldElement2625([1, 0, 0, 0, 0, 0, 0, 0, 0, 0]), T: FieldElement2625([0, 0, 0, 0, 0, 0, 0, 0, 0, 0]), }, EdwardsPoint { X: FieldElement2625([ 45756067, 28208718, 62448683, 8347856, 42965774, 18986308, 36923107, 12247769, 33528939, 25209113, ]), Y: FieldElement2625([ 6952903, 1265500, 60246523, 7057497, 4037696, 5447722, 35427965, 15325401, 19365852, 31985330, ]), Z: FieldElement2625([1, 0, 0, 0, 0, 0, 0, 0, 0, 0]), T: FieldElement2625([ 25262188, 11972680, 55392862, 5869611, 18193162, 17256693, 46438198, 8559097, 63567321, 5011180, ]), }, ]; /// Table containing precomputed multiples of the Ed25519 basepoint \\(B = (x, 4/5)\\). pub const ED25519_BASEPOINT_TABLE: EdwardsBasepointTable = ED25519_BASEPOINT_TABLE_INNER_DOC_HIDDEN; /// Inner constant, used to avoid filling the docs with precomputed points. #[doc(hidden)] pub const ED25519_BASEPOINT_TABLE_INNER_DOC_HIDDEN: EdwardsBasepointTable = EdwardsBasepointTable([ LookupTable([ AffineNielsPoint { y_plus_x: FieldElement2625([ 93076338, 52752828, 29566454, 37215328, 54414518, 37569218, 94653489, 21800160, 61029707, 35602036, ]), y_minus_x: FieldElement2625([ 54563134, 934261, 64385954, 3049989, 66381436, 9406985, 12720692, 5043384, 19500929, 18085054, ]), xy2d: FieldElement2625([ 58370664, 4489569, 9688441, 18769238, 10184608, 21191052, 29287918, 11864899, 42594502, 29115885, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 54292951, 54132516, 45527619, 11784319, 41753206, 30803714, 55390960, 29739860, 66750418, 23343128, ]), y_minus_x: FieldElement2625([ 45405608, 6903824, 27185491, 6451973, 37531140, 24000426, 51492312, 11189267, 40279186, 28235350, ]), xy2d: FieldElement2625([ 26966623, 11152617, 32442495, 15396054, 14353839, 20802097, 63980037, 24013313, 51636816, 29387734, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 82745136, 23865874, 24204772, 25642034, 67725840, 16869169, 94896463, 52336674, 28944398, 32004408, ]), y_minus_x: FieldElement2625([ 16568933, 4717097, 55552716, 32452109, 15682895, 21747389, 16354576, 21778470, 7689661, 11199574, ]), xy2d: FieldElement2625([ 30464137, 27578307, 55329429, 17883566, 23220364, 15915852, 7512774, 10017326, 49359771, 23634074, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 50071967, 13921891, 78054670, 27521000, 27105051, 17470053, 105291517, 15006021, 70393432, 27277891, ]), y_minus_x: FieldElement2625([ 23599295, 25248385, 55915199, 25867015, 13236773, 10506355, 7464579, 9656445, 13059162, 10374397, ]), xy2d: FieldElement2625([ 7798537, 16710257, 3033922, 2874086, 28997861, 2835604, 32406664, 29715387, 66467155, 33453106, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 77970208, 11473153, 27284546, 35535607, 37044514, 46132292, 99976748, 48069538, 118779423, 44373810, ]), y_minus_x: FieldElement2625([ 4708026, 6336745, 20377586, 9066809, 55836755, 6594695, 41455196, 12483687, 54440373, 5581305, ]), xy2d: FieldElement2625([ 19563141, 16186464, 37722007, 4097518, 10237984, 29206317, 28542349, 13850243, 43430843, 17738489, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 51736881, 20691677, 32573249, 4720197, 107781206, 39429941, 115029100, 18329611, 124398787, 21468653, ]), y_minus_x: FieldElement2625([ 58559652, 109982, 15149363, 2178705, 22900618, 4543417, 3044240, 17864545, 1762327, 14866737, ]), xy2d: FieldElement2625([ 48909169, 17603008, 56635573, 1707277, 49922944, 3916100, 38872452, 3959420, 27914454, 4383652, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 72262591, 43463716, 68832610, 30776557, 97632468, 39071304, 86589715, 38784565, 43156424, 18378665, ]), y_minus_x: FieldElement2625([ 36839857, 30090922, 7665485, 10083793, 28475525, 1649722, 20654025, 16520125, 30598449, 7715701, ]), xy2d: FieldElement2625([ 28881826, 14381568, 9657904, 3680757, 46927229, 7843315, 35708204, 1370707, 29794553, 32145132, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 14499452, 64379265, 33917749, 62854211, 95603724, 14271266, 97399599, 10876453, 33954766, 35936157, ]), y_minus_x: FieldElement2625([ 59913433, 30899068, 52378708, 462250, 39384538, 3941371, 60872247, 3696004, 34808032, 15351954, ]), xy2d: FieldElement2625([ 27431194, 8222322, 16448760, 29646437, 48401861, 11938354, 34147463, 30583916, 29551812, 10109425, ]), }, ]), LookupTable([ AffineNielsPoint { y_plus_x: FieldElement2625([ 53451805, 20399000, 102933977, 45331528, 88556249, 40073815, 64730579, 31926875, 77201646, 28790260, ]), y_minus_x: FieldElement2625([ 27939166, 14210322, 4677035, 16277044, 44144402, 21156292, 34600109, 12005537, 49298737, 12803509, ]), xy2d: FieldElement2625([ 17228999, 17892808, 65875336, 300139, 65883994, 21839654, 30364212, 24516238, 18016356, 4397660, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 56150002, 25864224, 4776340, 18600194, 27850027, 17952220, 40489757, 14544524, 49631360, 34537070, ]), y_minus_x: FieldElement2625([ 29253598, 15796703, 64244882, 23645547, 10057022, 3163536, 7332899, 29434304, 46061167, 9934962, ]), xy2d: FieldElement2625([ 5793284, 16271923, 42977250, 23438027, 29188559, 1206517, 52360934, 4559894, 36984942, 22656481, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 39464893, 55615857, 83391519, 22517938, 28414020, 52096600, 24191032, 38096129, 53770554, 39054999, ]), y_minus_x: FieldElement2625([ 12650548, 32057319, 9052870, 11355358, 49428827, 25154267, 49678271, 12264342, 10874051, 13524335, ]), xy2d: FieldElement2625([ 25556948, 30508442, 714650, 2510400, 23394682, 23139102, 33119037, 5080568, 44580805, 5376627, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 108129445, 29543378, 50095164, 30016803, 60382070, 35475328, 44787558, 57661420, 71644630, 35123438, ]), y_minus_x: FieldElement2625([ 64853442, 14606629, 45416424, 25514613, 28430648, 8775819, 36614302, 3044289, 31848280, 12543772, ]), xy2d: FieldElement2625([ 45080285, 2943892, 35251351, 6777305, 13784462, 29262229, 39731668, 31491700, 7718481, 14474653, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 69494160, 36008644, 44477543, 33601034, 62670928, 51428448, 67765827, 26317766, 91425031, 28300864, ]), y_minus_x: FieldElement2625([ 13741529, 10911568, 33875447, 24950694, 46931033, 32521134, 33040650, 20129900, 46379407, 8321685, ]), xy2d: FieldElement2625([ 21060490, 31341688, 15712756, 29218333, 1639039, 10656336, 23845965, 21679594, 57124405, 608371, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 53436113, 18466845, 56219170, 25997372, 61071954, 11305546, 68232832, 60328286, 94338261, 33578318, ]), y_minus_x: FieldElement2625([ 43864724, 33260226, 55364135, 14712570, 37643165, 31524814, 12797023, 27114124, 65475458, 16678953, ]), xy2d: FieldElement2625([ 37608244, 4770661, 51054477, 14001337, 7830047, 9564805, 65600720, 28759386, 49939598, 4904952, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 91168402, 48171434, 86146020, 18514523, 86874956, 18648002, 72278074, 16191879, 69237100, 29227598, ]), y_minus_x: FieldElement2625([ 50127693, 4124965, 58568254, 22900634, 30336521, 19449185, 37302527, 916032, 60226322, 30567899, ]), xy2d: FieldElement2625([ 44477957, 12419371, 59974635, 26081060, 50629959, 16739174, 285431, 2763829, 15736322, 4143876, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 69488197, 11839344, 62998462, 27565766, 78383161, 34349388, 67321664, 18959768, 23527083, 17096164, ]), y_minus_x: FieldElement2625([ 33431108, 22423954, 49269897, 17927531, 8909498, 8376530, 34483524, 4087880, 51919953, 19138217, ]), xy2d: FieldElement2625([ 1767664, 7197987, 53903638, 31531796, 54017513, 448825, 5799055, 4357868, 62334673, 17231393, ]), }, ]), LookupTable([ AffineNielsPoint { y_plus_x: FieldElement2625([ 6721947, 47388255, 43585475, 32003117, 93463156, 21691110, 90474010, 29604699, 74499753, 36314231, ]), y_minus_x: FieldElement2625([ 4409022, 2052381, 23373853, 10530217, 7676779, 20668478, 21302352, 29290375, 1244379, 20634787, ]), xy2d: FieldElement2625([ 62687625, 7169618, 4982368, 30596842, 30256824, 30776892, 14086412, 9208236, 15886429, 16489664, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 69104920, 43930080, 81455230, 46865633, 60234728, 17116020, 120524529, 33952799, 36502408, 32841498, ]), y_minus_x: FieldElement2625([ 41801399, 9795879, 64331450, 14878808, 33577029, 14780362, 13348553, 12076947, 36272402, 5113181, ]), xy2d: FieldElement2625([ 49338080, 11797795, 31950843, 13929123, 41220562, 12288343, 36767763, 26218045, 13847710, 5387222, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 48526682, 30138214, 84933706, 64767897, 89853205, 56666252, 75871923, 37172217, 47508201, 43925422, ]), y_minus_x: FieldElement2625([ 20246567, 19185054, 22358228, 33010720, 18507282, 23140436, 14554436, 24808340, 32232923, 16763880, ]), xy2d: FieldElement2625([ 9648486, 10094563, 26416693, 14745928, 36734546, 27081810, 11094160, 15689506, 3140038, 17044340, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 50948773, 39027126, 31895587, 38299426, 75932378, 43920116, 39884063, 43003044, 38334409, 33920726, ]), y_minus_x: FieldElement2625([ 19153450, 11523972, 56012374, 27051289, 42461232, 5420646, 28344573, 8041113, 719605, 11671788, ]), xy2d: FieldElement2625([ 8678006, 2694440, 60300850, 2517371, 4964326, 11152271, 51675948, 18287915, 27000812, 23358879, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 119059805, 40688742, 75748150, 30739554, 59873175, 43976173, 67672928, 38890528, 73859840, 19033405, ]), y_minus_x: FieldElement2625([ 11836410, 29574944, 26297893, 16080799, 23455045, 15735944, 1695823, 24735310, 8169719, 16220347, ]), xy2d: FieldElement2625([ 48993007, 8653646, 17578566, 27461813, 59083086, 17541668, 55964556, 30926767, 61118155, 19388398, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 43800347, 22586119, 82322091, 23473217, 36255258, 22504427, 27884328, 36401716, 69764724, 35292826, ]), y_minus_x: FieldElement2625([ 39571412, 19301410, 41772562, 25551651, 57738101, 8129820, 21651608, 30315096, 48021414, 22549153, ]), xy2d: FieldElement2625([ 1533110, 3437855, 23735889, 459276, 29970501, 11335377, 26030092, 5821408, 10478196, 8544890, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 32173083, 50979553, 24896205, 37475929, 22579055, 63698010, 19270447, 45771905, 84897880, 63712868, ]), y_minus_x: FieldElement2625([ 36555903, 31326030, 51530034, 23407230, 13243888, 517024, 15479401, 29701199, 30460519, 1052596, ]), xy2d: FieldElement2625([ 55493970, 13323617, 32618793, 8175907, 51878691, 12596686, 27491595, 28942073, 3179267, 24075541, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 99055914, 52742212, 62468279, 18214510, 51982886, 27514722, 52352086, 17142691, 19072639, 24043372, ]), y_minus_x: FieldElement2625([ 11685058, 11822410, 3158003, 19601838, 33402193, 29389366, 5977895, 28339415, 473098, 5040608, ]), xy2d: FieldElement2625([ 46817982, 8198641, 39698732, 11602122, 1290375, 30754672, 28326861, 1721092, 47550222, 30422825, ]), }, ]), LookupTable([ AffineNielsPoint { y_plus_x: FieldElement2625([ 74990396, 10687936, 74687587, 7738377, 48157852, 31000479, 88929649, 8076148, 39240368, 11538388, ]), y_minus_x: FieldElement2625([ 47173198, 3899860, 18283497, 26752864, 51380203, 22305220, 8754524, 7446702, 61432810, 5797015, ]), xy2d: FieldElement2625([ 55813245, 29760862, 51326753, 25589858, 12708868, 25098233, 2014098, 24503858, 64739691, 27677090, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 111745333, 55540121, 106535706, 34700805, 86065554, 50194990, 68301593, 29840232, 82232482, 44365936, ]), y_minus_x: FieldElement2625([ 14352079, 30134717, 48166819, 10822654, 32750596, 4699007, 67038501, 15776355, 38222085, 21579878, ]), xy2d: FieldElement2625([ 38867681, 25481956, 62129901, 28239114, 29416930, 1847569, 46454691, 17069576, 4714546, 23953777, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 15200313, 41923004, 86787964, 15970073, 35236190, 35513882, 24611598, 29010600, 55362987, 45894651, ]), y_minus_x: FieldElement2625([ 12876937, 23074376, 33134380, 6590940, 60801088, 14872439, 9613953, 8241152, 15370987, 9608631, ]), xy2d: FieldElement2625([ 62965568, 21540023, 8446280, 33162829, 4407737, 13629032, 59383996, 15866073, 38898243, 24740332, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 26660609, 51431209, 75502596, 33912478, 59707572, 34547419, 43204630, 34413128, 87680086, 41974987, ]), y_minus_x: FieldElement2625([ 14620696, 13067227, 51661590, 8264466, 14106269, 15080814, 33531827, 12516406, 45534429, 21077682, ]), xy2d: FieldElement2625([ 236881, 10476226, 57258, 18877408, 6472997, 2466984, 17258519, 7256740, 8791136, 15069930, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 68385255, 24182513, 90058498, 17231624, 43615824, 61406677, 81820737, 38428660, 36445723, 31223040, ]), y_minus_x: FieldElement2625([ 5855666, 4990204, 53397016, 7294283, 59304582, 1924646, 65685689, 25642053, 34039526, 9234252, ]), xy2d: FieldElement2625([ 20590503, 24535444, 31529743, 26201766, 64402029, 10650547, 31559055, 21944845, 18979185, 13396066, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 24474268, 38522535, 22267081, 37961786, 91172745, 25229251, 48291976, 13594781, 33514650, 40576390, ]), y_minus_x: FieldElement2625([ 55541958, 26988926, 45743778, 15928891, 40950559, 4315420, 41160136, 29637754, 45628383, 12868081, ]), xy2d: FieldElement2625([ 38473832, 13504660, 19988037, 31421671, 21078224, 6443208, 45662757, 2244499, 54653067, 25465048, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 36513317, 13793478, 61256044, 33873567, 41385691, 60844964, 100195408, 8957936, 51875216, 39094952, ]), y_minus_x: FieldElement2625([ 55478669, 22050529, 58989363, 25911358, 2620055, 1022908, 43398120, 31985447, 50980335, 18591624, ]), xy2d: FieldElement2625([ 23152952, 775386, 27395463, 14006635, 57407746, 4649511, 1689819, 892185, 55595587, 18348483, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 76878974, 43141169, 93604957, 37878551, 68665374, 30004407, 94562682, 38317558, 47929249, 39421565, ]), y_minus_x: FieldElement2625([ 34343820, 1927589, 31726409, 28801137, 23962433, 17534932, 27846558, 5931263, 37359161, 17445976, ]), xy2d: FieldElement2625([ 27461885, 30576896, 22380809, 1815854, 44075111, 30522493, 7283489, 18406359, 47582163, 7734628, ]), }, ]), LookupTable([ AffineNielsPoint { y_plus_x: FieldElement2625([ 59098581, 57518046, 55988459, 39750469, 29344157, 20123547, 74694158, 30377805, 85658360, 48856500, ]), y_minus_x: FieldElement2625([ 34450527, 27383209, 59436070, 22502750, 6258877, 13504381, 10458790, 27135971, 58236621, 8424745, ]), xy2d: FieldElement2625([ 24687186, 8613276, 36441818, 30320886, 1863891, 31723888, 19206233, 7134917, 55824382, 32725512, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 11334880, 24336410, 75134156, 46261950, 84632755, 23078360, 77352601, 18868970, 62042829, 50053268, ]), y_minus_x: FieldElement2625([ 8911542, 6887158, 57524604, 26595841, 11145640, 24010752, 17303924, 19430194, 6536640, 10543906, ]), xy2d: FieldElement2625([ 38162480, 15479762, 49642029, 568875, 65611181, 11223453, 64439674, 16928857, 39873154, 8876770, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 41365946, 54541999, 118567760, 32707823, 101191041, 32758142, 33627041, 15824473, 66504438, 24514614, ]), y_minus_x: FieldElement2625([ 10330056, 70051, 7957388, 24551765, 9764901, 15609756, 27698697, 28664395, 1657393, 3084098, ]), xy2d: FieldElement2625([ 10477963, 26084172, 12119565, 20303627, 29016246, 28188843, 31280318, 14396151, 36875289, 15272408, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 54820536, 36723894, 28813182, 16658753, 92225296, 27923965, 109043770, 54472724, 42094105, 35504935, ]), y_minus_x: FieldElement2625([ 40928506, 9489186, 11053416, 18808271, 36055143, 5825629, 58724558, 24786899, 15341278, 8373727, ]), xy2d: FieldElement2625([ 28685821, 7759505, 52730348, 21551571, 35137043, 4079241, 298136, 23321830, 64230656, 15190419, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 34175950, 47360767, 52771378, 51314432, 110213106, 10940926, 75778582, 36296824, 108184414, 60233859, ]), y_minus_x: FieldElement2625([ 65528476, 21825014, 41129205, 22109408, 49696989, 22641577, 9291593, 17306653, 54954121, 6048604, ]), xy2d: FieldElement2625([ 36803549, 14843443, 1539301, 11864366, 20201677, 1900163, 13934231, 5128323, 11213262, 9168384, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 40828313, 44562278, 19408959, 32613674, 115624762, 29225850, 62020803, 22449281, 20470156, 50710163, ]), y_minus_x: FieldElement2625([ 43972811, 9282191, 14855179, 18164354, 59746048, 19145871, 44324911, 14461607, 14042978, 5230683, ]), xy2d: FieldElement2625([ 29969548, 30812838, 50396996, 25001989, 9175485, 31085458, 21556950, 3506042, 61174973, 21104723, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 63964099, 42299092, 19704002, 38135710, 46678177, 6830682, 45824694, 42525944, 38569674, 48880994, ]), y_minus_x: FieldElement2625([ 47644235, 10110287, 49846336, 30050539, 43608476, 1355668, 51585814, 15300987, 46594746, 9168259, ]), xy2d: FieldElement2625([ 61755510, 4488612, 43305616, 16314346, 7780487, 17915493, 38160505, 9601604, 33087103, 24543045, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 47665675, 18041531, 46311396, 21109108, 104393280, 43783891, 39664534, 52108332, 61111992, 49219103, ]), y_minus_x: FieldElement2625([ 23294591, 16921819, 44458082, 25083453, 27844203, 11461195, 13099750, 31094076, 18151675, 13417686, ]), xy2d: FieldElement2625([ 42385932, 29377914, 35958184, 5988918, 40250079, 6685064, 1661597, 21002991, 15271675, 18101767, ]), }, ]), LookupTable([ AffineNielsPoint { y_plus_x: FieldElement2625([ 78541887, 20325766, 75348494, 28274914, 65123427, 32828713, 48410099, 35721975, 60187562, 20114249, ]), y_minus_x: FieldElement2625([ 35672693, 15575145, 30436815, 12192228, 44645511, 9395378, 57191156, 24915434, 12215109, 12028277, ]), xy2d: FieldElement2625([ 14098381, 6555944, 23007258, 5757252, 51681032, 20603929, 30123439, 4617780, 50208775, 32898803, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 63082644, 51868028, 79002030, 47273095, 52299401, 35401816, 51288864, 43708440, 91082124, 20869957, ]), y_minus_x: FieldElement2625([ 40577025, 29858441, 65199965, 2534300, 35238307, 17004076, 18341389, 22134481, 32013173, 23450893, ]), xy2d: FieldElement2625([ 41629544, 10876442, 55337778, 18929291, 54739296, 1838103, 21911214, 6354752, 4425632, 32716610, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 56675456, 18941465, 89338721, 30463384, 53917697, 34331160, 116802352, 55088400, 71833867, 47599401, ]), y_minus_x: FieldElement2625([ 19268631, 26250011, 1555348, 8692754, 45634805, 23643767, 6347389, 32142648, 47586572, 17444675, ]), xy2d: FieldElement2625([ 42244775, 12986007, 56209986, 27995847, 55796492, 33405905, 19541417, 8180106, 9282262, 10282508, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 108012627, 37982977, 58447667, 20360168, 71207265, 52943606, 15522533, 8372215, 72651459, 22851748, ]), y_minus_x: FieldElement2625([ 56546323, 14895632, 26814552, 16880582, 49628109, 31065071, 64326972, 6993760, 49014979, 10114654, ]), xy2d: FieldElement2625([ 47001790, 32625013, 31422703, 10427861, 59998115, 6150668, 38017109, 22025285, 25953724, 33448274, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 62874448, 59069571, 57989737, 36600431, 69210472, 54501569, 86498882, 39648727, 63793584, 46385556, ]), y_minus_x: FieldElement2625([ 51110167, 7578151, 5310217, 14408357, 33560244, 33329692, 31575953, 6326196, 7381791, 31132593, ]), xy2d: FieldElement2625([ 46206085, 3296810, 24736065, 17226043, 18374253, 7318640, 6295303, 8082724, 51746375, 12339663, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 27724736, 35845589, 73197064, 19369633, 68901590, 39412065, 80957277, 15768921, 92200031, 14856293, ]), y_minus_x: FieldElement2625([ 48242193, 8331042, 24373479, 8541013, 66406866, 24284974, 12927299, 20858939, 44926390, 24541532, ]), xy2d: FieldElement2625([ 55685435, 28132841, 11632844, 3405020, 30536730, 21880393, 39848098, 13866389, 30146206, 9142070, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 71032974, 18246915, 120400605, 23499470, 79400683, 32886065, 39406089, 9326383, 58871006, 37725725, ]), y_minus_x: FieldElement2625([ 51186905, 16037936, 6713787, 16606682, 45496729, 2790943, 26396185, 3731949, 345228, 28091483, ]), xy2d: FieldElement2625([ 45781307, 13448258, 25284571, 1143661, 20614966, 24705045, 2031538, 21163201, 50855680, 19972348, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 98125037, 16832002, 93480255, 52657630, 62081513, 14854136, 17477601, 37397089, 28012649, 50703444, ]), y_minus_x: FieldElement2625([ 62033029, 9368965, 58546785, 28953529, 51858910, 6970559, 57918991, 16292056, 58241707, 3507939, ]), xy2d: FieldElement2625([ 29439664, 3537914, 23333589, 6997794, 49553303, 22536363, 51899661, 18503164, 57943934, 6580395, ]), }, ]), LookupTable([ AffineNielsPoint { y_plus_x: FieldElement2625([ 54922984, 59429075, 83547131, 10826159, 58412047, 27318820, 84969307, 24280585, 65013061, 42858998, ]), y_minus_x: FieldElement2625([ 20714545, 29217521, 29088194, 7406487, 11426967, 28458727, 14792666, 18945815, 5289420, 33077305, ]), xy2d: FieldElement2625([ 50443312, 22903641, 60948518, 20248671, 9192019, 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76890510, 23204372, 32779358, 5095274, ]), y_minus_x: FieldElement2625([ 34100715, 28339925, 34843976, 29869215, 9460460, 24227009, 42507207, 14506723, 21639561, 30924196, ]), xy2d: FieldElement2625([ 50707921, 20442216, 25239337, 15531969, 3987758, 29055114, 65819361, 26690896, 17874573, 558605, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 53508716, 10240080, 76280747, 16131052, 46239610, 43154131, 100608350, 38634582, 69194755, 38674192, ]), y_minus_x: FieldElement2625([ 44903700, 31034903, 50727262, 414690, 42089314, 2170429, 30634760, 25190818, 35108870, 27794547, ]), xy2d: FieldElement2625([ 60263160, 15791201, 8550074, 32241778, 29928808, 21462176, 27534429, 26362287, 44757485, 12961481, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 42616785, 57538092, 10368192, 11582341, 110820435, 31309143, 83642793, 8206995, 104023076, 28394792, ]), y_minus_x: FieldElement2625([ 55987368, 30172197, 2307365, 6362031, 66973409, 8868176, 50273234, 7031274, 7589640, 8945490, ]), xy2d: FieldElement2625([ 34956097, 8917966, 6661220, 21876816, 65916803, 17761038, 7251488, 22372252, 24099108, 19098262, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 72128384, 25646961, 71352990, 18840075, 107284455, 40007595, 47990681, 20265406, 127985831, 56828126, ]), y_minus_x: FieldElement2625([ 10853575, 10721687, 26480089, 5861829, 44113045, 1972174, 65242217, 22996533, 63745412, 27113307, ]), xy2d: FieldElement2625([ 50106456, 5906789, 221599, 26991285, 7828207, 20305514, 24362660, 31546264, 53242455, 7421391, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 75248772, 27007934, 99366509, 27663885, 97484582, 1886180, 113042620, 48995682, 95935221, 29431402, ]), y_minus_x: FieldElement2625([ 6267067, 9695052, 7709135, 16950835, 34239795, 31668296, 14795159, 25714308, 13746020, 31812384, ]), xy2d: FieldElement2625([ 28584883, 7787108, 60375922, 18503702, 22846040, 25983196, 63926927, 33190907, 4771361, 25134474, ]), }, ]), LookupTable([ AffineNielsPoint { 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31985546, 44906155, 8714033, 14007766, 6928528, 16318175, 32543743, 4766742, 3552007, ]), xy2d: FieldElement2625([ 45357481, 16823515, 1351762, 32751011, 63099193, 3950934, 3217514, 14481909, 10988822, 29559670, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 15564288, 19242862, 70210106, 39238579, 97555643, 25503075, 79785990, 27049088, 58813011, 46850436, ]), y_minus_x: FieldElement2625([ 57666574, 6624295, 36809900, 21640754, 62437882, 31497052, 31521203, 9614054, 37108040, 12074673, ]), xy2d: FieldElement2625([ 4771172, 33419193, 14290748, 20464580, 27992297, 14998318, 65694928, 31997715, 29832612, 17163397, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 7064865, 59567690, 115055764, 62041325, 48217593, 30641695, 92934105, 38847728, 39986203, 46656021, ]), y_minus_x: FieldElement2625([ 64810282, 2439669, 59642254, 1719964, 39841323, 17225986, 32512468, 28236839, 36752793, 29363474, ]), xy2d: FieldElement2625([ 37102324, 10162315, 33928688, 3981722, 50626726, 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29073951, 53570360, 34941586, ]), y_minus_x: FieldElement2625([ 19646058, 5720633, 55692158, 12814208, 11607948, 12749789, 14147075, 15156355, 45242033, 11835259, ]), xy2d: FieldElement2625([ 19299512, 1155910, 28703737, 14890794, 2925026, 7269399, 26121523, 15467869, 40548314, 5052482, ]), }, ]), LookupTable([ AffineNielsPoint { y_plus_x: FieldElement2625([ 64091413, 43612637, 69089700, 37518674, 22160965, 12322533, 60677741, 20936246, 12228556, 26550755, ]), y_minus_x: FieldElement2625([ 32944382, 14922211, 44263970, 5188527, 21913450, 24834489, 4001464, 13238564, 60994061, 8653814, ]), xy2d: FieldElement2625([ 22865569, 28901697, 27603667, 21009037, 14348957, 8234005, 24808405, 5719875, 28483275, 2841751, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 117796741, 32441125, 66781144, 21446575, 21886281, 51556090, 65220896, 33238773, 87040921, 20815228, ]), y_minus_x: FieldElement2625([ 55452759, 10087520, 58243976, 28018288, 47830290, 30498519, 3999227, 13239134, 62331395, 19644223, ]), xy2d: FieldElement2625([ 1382174, 21859713, 17266789, 9194690, 53784508, 9720080, 20403944, 11284705, 53095046, 3093229, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 83759766, 56070931, 66044684, 35125060, 58779117, 40907184, 66806439, 16271224, 43059443, 26862581, ]), y_minus_x: FieldElement2625([ 45197768, 27626490, 62497547, 27994275, 35364760, 22769138, 24123613, 15193618, 45456747, 16815042, ]), xy2d: FieldElement2625([ 57172930, 29264984, 41829040, 4372841, 2087473, 10399484, 31870908, 14690798, 17361620, 11864968, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 55801216, 39764803, 80315437, 39360751, 105200035, 19587230, 54777658, 26067830, 41530403, 50868174, ]), y_minus_x: FieldElement2625([ 14668443, 21284197, 26039038, 15305210, 25515617, 4542480, 10453892, 6577524, 9145645, 27110552, ]), xy2d: FieldElement2625([ 5974855, 3053895, 57675815, 23169240, 35243739, 3225008, 59136222, 3936127, 61456591, 30504127, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 97734231, 28825031, 41552902, 20761565, 46624288, 41249530, 17097187, 50805368, 106217947, 35358062, ]), y_minus_x: FieldElement2625([ 63555773, 9865098, 61880298, 4272700, 61435032, 16864731, 14911343, 12196514, 45703375, 7047411, ]), xy2d: FieldElement2625([ 20093258, 9920966, 55970670, 28210574, 13161586, 12044805, 34252013, 4124600, 34765036, 23296865, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 46320021, 14084653, 53577151, 41396578, 19119037, 19731827, 71861240, 24839791, 45429205, 35842469, ]), y_minus_x: FieldElement2625([ 40289628, 30270716, 29965058, 3039786, 52635099, 2540456, 29457502, 14625692, 42289247, 12570231, ]), xy2d: FieldElement2625([ 66045306, 22002608, 16920317, 12494842, 1278292, 27685323, 45948920, 30055751, 55134159, 4724942, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 85069815, 21778897, 62967895, 23851901, 58232301, 32143814, 54201480, 24894499, 104641427, 35458286, ]), y_minus_x: FieldElement2625([ 23134274, 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21307972, 44056843, 5903204, 58246567, 28915267, 12376616, 3188849, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 29190450, 18895386, 27549112, 32370916, 70628929, 22857130, 32049514, 26245319, 50999629, 57256556, ]), y_minus_x: FieldElement2625([ 52364359, 24245275, 735817, 32955454, 46701176, 28496527, 25246077, 17758763, 18640740, 32593455, ]), xy2d: FieldElement2625([ 60180029, 17123636, 10361373, 5642961, 4910474, 12345252, 35470478, 33060001, 10530746, 1053335, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 104951742, 52922057, 120679510, 54991489, 47651803, 56453479, 102755357, 30605445, 24018830, 48581076, ]), y_minus_x: FieldElement2625([ 44516310, 30409154, 64819587, 5953842, 53668675, 9425630, 25310643, 13003497, 64794073, 18408815, ]), xy2d: FieldElement2625([ 39688860, 32951110, 59064879, 31885314, 41016598, 13987818, 39811242, 187898, 43942445, 31022696, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 45364447, 19743956, 68953703, 38575859, 123783328, 17642957, 76825530, 49821353, 62038646, 34280530, ]), y_minus_x: FieldElement2625([ 29370903, 27500434, 7334070, 18212173, 9385286, 2247707, 53446902, 28714970, 30007387, 17731091, ]), xy2d: FieldElement2625([ 66172485, 16086690, 23751945, 33011114, 65941325, 28365395, 9137108, 730663, 9835848, 4555336, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 43732410, 34964877, 44855110, 54209249, 97976497, 49381408, 17693929, 34099128, 55123565, 45977077, ]), y_minus_x: FieldElement2625([ 31117226, 21338698, 53606025, 6561946, 57231997, 20796761, 61990178, 29457725, 29120152, 13924425, ]), xy2d: FieldElement2625([ 49707966, 19321222, 19675798, 30819676, 56101901, 27695611, 57724924, 22236731, 7240930, 33317044, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 35747087, 22207651, 119210280, 27698212, 111764387, 54956091, 68331198, 37943914, 70402500, 51557120, ]), y_minus_x: FieldElement2625([ 50424044, 19110186, 11038543, 11054958, 53307689, 30215898, 42789283, 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LookupTable([ AffineNielsPoint { y_plus_x: FieldElement2625([ 79123950, 36355692, 95306994, 10151020, 91926984, 28811298, 55914672, 27908697, 72259831, 40828617, ]), y_minus_x: FieldElement2625([ 2831347, 21062286, 1478974, 6122054, 23825128, 20820846, 31097298, 6083058, 31021603, 23760822, ]), xy2d: FieldElement2625([ 64578913, 31324785, 445612, 10720828, 53259337, 22048494, 43601132, 16354464, 15067285, 19406725, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 74949787, 47592304, 100852864, 49488446, 66380650, 29911725, 88512851, 34612017, 47729401, 21151211, ]), y_minus_x: FieldElement2625([ 915865, 17085158, 15608284, 24765302, 42751837, 6060029, 49737545, 8410996, 59888403, 16527024, ]), xy2d: FieldElement2625([ 32922597, 32997445, 20336073, 17369864, 10903704, 28169945, 16957573, 52992, 23834301, 6588044, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 32752011, 44787382, 70490858, 24839565, 22652987, 22810329, 17159698, 50243539, 46794283, 32248439, ]), y_minus_x: 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LookupTable([ AffineNielsPoint { y_plus_x: FieldElement2625([ 80071405, 38866230, 57048095, 45212711, 85964149, 25600230, 80395126, 54300159, 62727806, 9882021, ]), y_minus_x: FieldElement2625([ 18512060, 11319350, 46985740, 15090308, 18818594, 5271736, 44380960, 3666878, 43141434, 30255002, ]), xy2d: FieldElement2625([ 60319844, 30408388, 16192428, 13241070, 15898607, 19348318, 57023983, 26893321, 64705764, 5276064, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 97278672, 28236783, 93415069, 55358004, 94923826, 40623698, 74261714, 37239413, 68558087, 13082860, ]), y_minus_x: FieldElement2625([ 10342807, 3098505, 2119311, 193222, 25702612, 12233820, 23697382, 15056736, 46092426, 25352431, ]), xy2d: FieldElement2625([ 33958735, 3261607, 22745853, 7948688, 19370557, 18376767, 40936887, 6482813, 56808784, 22494330, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 32869439, 61700319, 25609741, 49233102, 56421094, 51637792, 26112419, 36075440, 44444575, 40459246, ]), 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10617073, 2028709, 14841030, 26832768, 28718731, 17791548, 20527770, 12988982, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 52286341, 27757162, 63400876, 12689772, 66209881, 22639565, 110034681, 56543919, 70408527, 54683910, ]), y_minus_x: FieldElement2625([ 50331161, 18301130, 57466446, 4978982, 3308785, 8755439, 6943197, 6461331, 41525717, 8991217, ]), xy2d: FieldElement2625([ 49882601, 1816361, 65435576, 27467992, 31783887, 25378441, 34160718, 7417949, 36866577, 1507264, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 29692644, 40384323, 56610063, 37889327, 88054838, 21647935, 38221255, 41763822, 14606361, 22907359, ]), y_minus_x: FieldElement2625([ 63627275, 8707080, 32188102, 5672294, 22096700, 1711240, 34088169, 9761486, 4170404, 31469107, ]), xy2d: FieldElement2625([ 55521375, 14855944, 62981086, 32022574, 40459774, 15084045, 22186522, 16002000, 52832027, 25153633, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 62297389, 47315460, 35404986, 31070512, 63796392, 41423478, 59995291, 23934339, 80349708, 44520301, ]), y_minus_x: FieldElement2625([ 59366301, 25297669, 52340529, 19898171, 43876480, 12387165, 4498947, 14147411, 29514390, 4302863, ]), xy2d: FieldElement2625([ 53695440, 21146572, 20757301, 19752600, 14785142, 8976368, 62047588, 31410058, 17846987, 19582505, ]), }, ]), LookupTable([ AffineNielsPoint { y_plus_x: FieldElement2625([ 64864393, 32799703, 62511833, 32488122, 60861691, 35009730, 112569999, 24339641, 61886162, 46204698, ]), y_minus_x: FieldElement2625([ 57202067, 17484121, 21134159, 12198166, 40044289, 708125, 387813, 13770293, 47974538, 10958662, ]), xy2d: FieldElement2625([ 22470984, 12369526, 23446014, 28113323, 45588061, 23855708, 55336367, 21979976, 42025033, 4271861, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 109048144, 57055220, 47199530, 48916026, 61124505, 35713623, 67184238, 62830334, 101691505, 42024103, ]), y_minus_x: FieldElement2625([ 15854951, 4148314, 58214974, 7259001, 11666551, 13824734, 36577666, 2697371, 24154791, 24093489, ]), xy2d: FieldElement2625([ 15446137, 17747788, 29759746, 14019369, 30811221, 23944241, 35526855, 12840103, 24913809, 9815020, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 62399559, 27940162, 35267365, 21265538, 52665326, 44353845, 125114051, 46993199, 85843991, 43020669, ]), y_minus_x: FieldElement2625([ 11933045, 9281483, 5081055, 28370608, 64480701, 28648802, 59381042, 22658328, 44380208, 16199063, ]), xy2d: FieldElement2625([ 14576810, 379472, 40322331, 25237195, 37682355, 22741457, 67006097, 1876698, 30801119, 2164795, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 15995067, 36754305, 13672554, 13712240, 47730029, 62461217, 121136116, 51612593, 53616055, 34822483, ]), y_minus_x: FieldElement2625([ 56818250, 29895392, 63822271, 10948817, 23037027, 3794475, 63638526, 20954210, 50053494, 3565903, ]), xy2d: FieldElement2625([ 29210069, 24135095, 61189071, 28601646, 10834810, 20226706, 50596761, 22733718, 39946641, 19523900, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 121055819, 49063018, 83772567, 25398281, 38758921, 42573554, 37925442, 29785008, 69352974, 19552452, ]), y_minus_x: FieldElement2625([ 61955989, 29753495, 57802388, 27482848, 16243068, 14684434, 41435776, 17373631, 13491505, 4641841, ]), xy2d: FieldElement2625([ 10813398, 643330, 47920349, 32825515, 30292061, 16954354, 27548446, 25833190, 14476988, 20787001, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 77400943, 9984944, 73590300, 41834336, 59857349, 40587174, 27282936, 31910173, 106304917, 12651322, ]), y_minus_x: FieldElement2625([ 35923332, 32741048, 22271203, 11835308, 10201545, 15351028, 17099662, 3988035, 21721536, 30405492, ]), xy2d: FieldElement2625([ 10202177, 27008593, 35735631, 23979793, 34958221, 25434748, 54202543, 3852693, 13216206, 14842320, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 51293205, 22953365, 60569911, 26295436, 60124204, 26972653, 35608016, 47320255, 106783330, 43454614, ]), y_minus_x: FieldElement2625([ 14465486, 19721101, 34974879, 18815558, 39665676, 12990491, 33046193, 15796406, 60056998, 25514317, ]), xy2d: FieldElement2625([ 30924398, 25274812, 6359015, 20738097, 16508376, 9071735, 41620263, 15413634, 9524356, 26535554, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 12274182, 20378885, 99736504, 65323537, 73845487, 13267304, 72346523, 28444948, 82772379, 37590215, ]), y_minus_x: FieldElement2625([ 64157555, 8903984, 17349946, 601635, 50676049, 28941875, 53376124, 17665097, 44850385, 4659090, ]), xy2d: FieldElement2625([ 50192582, 28601458, 36715152, 18395610, 20774811, 15897498, 5736189, 15026997, 64930608, 20098846, ]), }, ]), LookupTable([ AffineNielsPoint { y_plus_x: FieldElement2625([ 58249865, 31335375, 28571665, 56953346, 66634395, 23448733, 63307367, 33832526, 23440561, 33264224, ]), y_minus_x: FieldElement2625([ 10226222, 27625730, 15139955, 120818, 52241171, 5218602, 32937275, 11551483, 50536904, 26111567, ]), xy2d: FieldElement2625([ 17932739, 21117156, 43069306, 10749059, 11316803, 7535897, 22503767, 5561594, 63462240, 3898660, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 74858752, 32584864, 50769132, 33537967, 42090752, 15122142, 65535333, 40706961, 88940025, 34799664, ]), y_minus_x: FieldElement2625([ 26958440, 18896406, 4314585, 8346991, 61431100, 11960071, 34519569, 32934396, 36706772, 16838219, ]), xy2d: FieldElement2625([ 54942968, 9166946, 33491384, 13673479, 29787085, 13096535, 6280834, 14587357, 44770839, 13987524, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 109867800, 7778773, 88224864, 49127028, 62275597, 28196653, 62807965, 28429792, 59639082, 30696363, ]), y_minus_x: FieldElement2625([ 9681908, 26817309, 35157219, 13591837, 60225043, 386949, 31622781, 6439245, 52527852, 4091396, ]), xy2d: FieldElement2625([ 58682418, 1470726, 38999185, 31957441, 3978626, 28430809, 47486180, 12092162, 29077877, 18812444, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 72378032, 26694705, 120987516, 25533715, 25932562, 35317984, 61502753, 28048550, 47091016, 2357888, ]), y_minus_x: FieldElement2625([ 32264008, 18146780, 61721128, 32394338, 65017541, 29607531, 23104803, 20684524, 5727337, 189038, ]), xy2d: FieldElement2625([ 14609104, 24599962, 61108297, 16931650, 52531476, 25810533, 40363694, 10942114, 41219933, 18669734, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 87622345, 39112362, 51504250, 41383962, 93522806, 31535027, 45729895, 41026212, 13913676, 28416557, ]), y_minus_x: FieldElement2625([ 41534488, 11967825, 29233242, 12948236, 60354399, 4713226, 58167894, 14059179, 12878652, 8511905, ]), xy2d: FieldElement2625([ 41452044, 3393630, 64153449, 26478905, 64858154, 9366907, 36885446, 6812973, 5568676, 30426776, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 78738868, 12144453, 69225203, 47160468, 94487748, 49231348, 49700110, 20050058, 119822531, 8070816, ]), y_minus_x: FieldElement2625([ 27117677, 23547054, 35826092, 27984343, 1127281, 12772488, 37262958, 10483305, 55556115, 32525717, ]), xy2d: FieldElement2625([ 10637467, 27866368, 5674780, 1072708, 40765276, 26572129, 65424888, 9177852, 39615702, 15431202, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 87633990, 44446997, 121475255, 12779441, 104724694, 16150073, 105977209, 14943140, 52052074, 25618500, ]), y_minus_x: FieldElement2625([ 37084402, 5626925, 66557297, 23573344, 753597, 11981191, 25244767, 30314666, 63752313, 9594023, ]), xy2d: FieldElement2625([ 43356201, 2636869, 61944954, 23450613, 585133, 7877383, 11345683, 27062142, 13352334, 22577348, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 65177046, 28146973, 70413512, 54223994, 84124668, 62231772, 104433876, 25801948, 53893326, 33235227, ]), y_minus_x: FieldElement2625([ 20239939, 6607058, 6203985, 3483793, 48721888, 32775202, 46385121, 15077869, 44358105, 14523816, ]), xy2d: FieldElement2625([ 27406023, 27512775, 27423595, 29057038, 4996213, 10002360, 38266833, 29008937, 36936121, 28748764, ]), }, ]), LookupTable([ AffineNielsPoint { y_plus_x: FieldElement2625([ 78483087, 12660714, 17861383, 21013599, 78044431, 34653658, 53222787, 24462691, 106490683, 44912934, ]), y_minus_x: FieldElement2625([ 54378055, 10311866, 1510375, 10778093, 64989409, 24408729, 32676002, 11149336, 40985213, 4985767, ]), xy2d: FieldElement2625([ 48012542, 341146, 60911379, 33315398, 15756972, 24757770, 66125820, 13794113, 47694557, 17933176, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 73598907, 45494717, 25495922, 59382504, 75777235, 24803115, 70476466, 40524436, 65417798, 58104073, ]), y_minus_x: FieldElement2625([ 1656478, 13457317, 15370807, 6364910, 13605745, 8362338, 47934242, 28078708, 50312267, 28522993, ]), xy2d: FieldElement2625([ 44835530, 20030007, 67044178, 29220208, 48503227, 22632463, 46537798, 26546453, 67009010, 23317098, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 84856310, 43593691, 86477162, 29503840, 46478228, 51067577, 99101545, 17696455, 104957364, 28042459, ]), y_minus_x: FieldElement2625([ 31932008, 28568291, 47496481, 16366579, 22023614, 88450, 11371999, 29810185, 4882241, 22927527, ]), xy2d: FieldElement2625([ 29796488, 37186, 19818052, 10115756, 55279832, 3352735, 18551198, 3272828, 61917932, 29392022, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 12501267, 4044383, 58495907, 53716478, 101787674, 38691029, 47878485, 30024734, 330069, 29895023, ]), y_minus_x: FieldElement2625([ 6384877, 2899513, 17807477, 7663917, 64749976, 12363164, 25366522, 24980540, 66837568, 12071498, ]), xy2d: FieldElement2625([ 58743349, 29511910, 25133447, 29037077, 60897836, 2265926, 34339246, 1936674, 61949167, 3829362, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 28425947, 27718999, 66531773, 28857233, 120000172, 40425360, 75030413, 26986644, 26333139, 47822096, ]), y_minus_x: FieldElement2625([ 56041645, 11871230, 27385719, 22994888, 62522949, 22365119, 10004785, 24844944, 45347639, 8930323, ]), xy2d: FieldElement2625([ 45911060, 17158396, 25654215, 31829035, 12282011, 11008919, 1541940, 4757911, 40617363, 17145491, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 80646107, 25794941, 113612887, 44516357, 61186043, 20336366, 53952279, 39771685, 118274028, 47369420, ]), y_minus_x: FieldElement2625([ 49686272, 15157789, 18705543, 29619, 24409717, 33293956, 27361680, 9257833, 65152338, 31777517, ]), xy2d: FieldElement2625([ 42063564, 23362465, 15366584, 15166509, 54003778, 8423555, 37937324, 12361134, 48422886, 4578289, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 91688613, 3711569, 68451186, 22374305, 107212592, 47679386, 44564334, 14074918, 21964432, 41789689, ]), y_minus_x: FieldElement2625([ 60580251, 31142934, 9442965, 27628844, 12025639, 32067012, 64127349, 31885225, 13006805, 2355433, ]), xy2d: FieldElement2625([ 50803946, 19949172, 60476436, 28412082, 16974358, 22643349, 27202043, 1719366, 1141648, 20758196, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 54244901, 53888877, 58790596, 56090772, 60298717, 28710537, 13475065, 30420460, 32674894, 47269477, ]), y_minus_x: FieldElement2625([ 11423316, 28086373, 32344215, 8962751, 24989809, 9241752, 53843611, 16086211, 38367983, 17912338, ]), xy2d: FieldElement2625([ 65699196, 12530727, 60740138, 10847386, 19531186, 19422272, 55399715, 7791793, 39862921, 4383346, ]), }, ]), LookupTable([ AffineNielsPoint { y_plus_x: FieldElement2625([ 38137947, 38825878, 65842854, 23817442, 121762491, 50287029, 62246456, 62202414, 27193555, 39799623, ]), y_minus_x: FieldElement2625([ 51914908, 5362277, 65324971, 2695833, 4960227, 12840725, 23061898, 3260492, 22510453, 8577507, ]), xy2d: FieldElement2625([ 54476394, 11257345, 34415870, 13548176, 66387860, 10879010, 31168030, 13952092, 37537372, 29918525, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 70986166, 23981692, 99525555, 38959755, 56104456, 19897796, 70868632, 45489751, 72720723, 41718449, ]), y_minus_x: FieldElement2625([ 50833043, 14667796, 15906460, 12155291, 44997715, 24514713, 32003001, 24722143, 5773084, 25132323, ]), xy2d: FieldElement2625([ 43320746, 25300131, 1950874, 8937633, 18686727, 16459170, 66203139, 12376319, 31632953, 190926, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 109624102, 17415545, 58684872, 13378745, 81271271, 6901327, 58820115, 38062995, 41767308, 29926903, ]), y_minus_x: FieldElement2625([ 8884438, 27670423, 6023973, 10104341, 60227295, 28612898, 18722940, 18768427, 65436375, 827624, ]), xy2d: FieldElement2625([ 34388281, 17265135, 34605316, 7101209, 13354605, 2659080, 65308289, 19446395, 42230385, 1541285, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 70010192, 32436744, 70989239, 57049475, 116596786, 29941649, 45306746, 29986950, 87565708, 31669398, ]), y_minus_x: FieldElement2625([ 27019610, 12299467, 53450576, 31951197, 54247203, 28692960, 47568713, 28538373, 29439640, 15138866, ]), xy2d: FieldElement2625([ 21536104, 26928012, 34661045, 22864223, 44700786, 5175813, 61688824, 17193268, 7779327, 109896, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 97388589, 48203181, 59063992, 39979989, 80748484, 32810922, 28698389, 45734550, 23177718, 33000357, ]), y_minus_x: FieldElement2625([ 26572828, 3405927, 35407164, 12890904, 47843196, 5335865, 60615096, 2378491, 4439158, 20275085, ]), xy2d: FieldElement2625([ 44392139, 3489069, 57883598, 33221678, 18875721, 32414337, 14819433, 20822905, 49391106, 28092994, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 62052362, 50120982, 83062524, 37322183, 56672364, 49181491, 66287909, 35731656, 75658945, 18440266, ]), y_minus_x: FieldElement2625([ 48635543, 16596774, 66727204, 15663610, 22860960, 15585581, 39264755, 29971692, 43848403, 25125843, ]), xy2d: FieldElement2625([ 34628313, 15707274, 58902952, 27902350, 29464557, 2713815, 44383727, 15860481, 45206294, 1494192, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 47546754, 53021470, 41524990, 24254879, 80236705, 34314140, 21923481, 16529112, 75851568, 46521448, ]), y_minus_x: FieldElement2625([ 38643965, 1553204, 32536856, 23080703, 42417258, 33148257, 58194238, 30620535, 37205105, 15553882, ]), xy2d: FieldElement2625([ 21877890, 3230008, 9881174, 10539357, 62311749, 2841331, 11543572, 14513274, 19375923, 20906471, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 75941133, 52613378, 80362373, 38692006, 72146734, 37633208, 24880817, 60886148, 69971515, 9455042, ]), y_minus_x: FieldElement2625([ 29306751, 5123106, 20245049, 19404543, 9592565, 8447059, 65031740, 30564351, 15511448, 4789663, ]), xy2d: FieldElement2625([ 46429108, 7004546, 8824831, 24119455, 63063159, 29803695, 61354101, 108892, 23513200, 16652362, ]), }, ]), LookupTable([ AffineNielsPoint { y_plus_x: FieldElement2625([ 100961536, 37699212, 62632834, 26975308, 77878902, 26398889, 60458447, 54172563, 115898528, 43767290, ]), y_minus_x: FieldElement2625([ 2756062, 8598110, 7383731, 26694540, 22312758, 32449420, 21179800, 2600940, 57120566, 21047965, ]), xy2d: FieldElement2625([ 42463153, 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15495313, 78733938, 46619030, 74499414, 44144056, 77946923, 51688439, ]), y_minus_x: FieldElement2625([ 47766460, 867879, 9277171, 30335973, 52677291, 31567988, 19295825, 17757482, 6378259, 699185, ]), xy2d: FieldElement2625([ 7895007, 4057113, 60027092, 20476675, 49222032, 33231305, 66392824, 15693154, 62063800, 20180469, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 59371282, 27685029, 119651408, 26147511, 78494517, 46756047, 31730677, 22591592, 63190227, 23885106, ]), y_minus_x: FieldElement2625([ 10188286, 17783598, 59772502, 13427542, 22223443, 14896287, 30743455, 7116568, 45322357, 5427592, ]), xy2d: FieldElement2625([ 696102, 13206899, 27047647, 22922350, 15285304, 23701253, 10798489, 28975712, 19236242, 12477404, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 55879406, 44798227, 50054593, 25513566, 66320635, 58940896, 63211193, 44734935, 43939347, 41288075, ]), y_minus_x: FieldElement2625([ 17800790, 19518253, 40108434, 21787760, 23887826, 3149671, 23466177, 23016261, 10322026, 15313801, ]), xy2d: FieldElement2625([ 26246234, 11968874, 32263343, 28085704, 6830754, 20231401, 51314159, 33452449, 42659621, 10890803, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 35743198, 43825794, 54448238, 27287163, 83799070, 54046319, 119235514, 50039361, 92289660, 28219547, ]), y_minus_x: FieldElement2625([ 66522290, 10376443, 34522450, 22268075, 19801892, 10997610, 2276632, 9482883, 316878, 13820577, ]), xy2d: FieldElement2625([ 57226037, 29044064, 64993357, 16457135, 56008783, 11674995, 30756178, 26039378, 30696929, 29841583, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 100097781, 23951019, 12499365, 41465219, 56491606, 21622917, 59766047, 57123466, 34759345, 7392472, ]), y_minus_x: FieldElement2625([ 58253184, 15927860, 9866406, 29905021, 64711949, 16898650, 36699387, 24419436, 25112946, 30627788, ]), xy2d: FieldElement2625([ 64604801, 33117465, 25621773, 27875660, 15085041, 28074555, 42223985, 20028237, 5537437, 19640113, ]), }, ]), LookupTable([ AffineNielsPoint { y_plus_x: FieldElement2625([ 55883261, 2320284, 57524584, 10149186, 100773065, 5808646, 119341477, 31824763, 98343453, 39645030, ]), y_minus_x: FieldElement2625([ 57475529, 116425, 26083934, 2897444, 60744427, 30866345, 609720, 15878753, 60138459, 24519663, ]), xy2d: FieldElement2625([ 39351007, 247743, 51914090, 24551880, 23288160, 23542496, 43239268, 6503645, 20650474, 1804084, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 106627923, 49010854, 76081380, 42024039, 82749485, 37994278, 70230858, 56779150, 94951478, 33352103, ]), y_minus_x: FieldElement2625([ 51801891, 2839643, 22530074, 10026331, 4602058, 5048462, 28248656, 5031932, 55733782, 12714368, ]), xy2d: FieldElement2625([ 20807691, 26283607, 29286140, 11421711, 39232341, 19686201, 45881388, 1035545, 47375635, 12796919, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 79185725, 52807577, 58323861, 21705509, 42096072, 49955115, 49517368, 20654993, 70589528, 51926048, ]), y_minus_x: 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29266687, 45762450, 25120105, 32087528, 32331655, 32247247, 19164571, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 14312609, 34775988, 17395389, 58408721, 62163121, 58424228, 106019982, 23916613, 51081240, 20175586, ]), y_minus_x: FieldElement2625([ 65680039, 23875441, 57873182, 6549686, 59725795, 33085767, 23046501, 9803137, 17597934, 2346211, ]), xy2d: FieldElement2625([ 18510781, 15337574, 26171504, 981392, 44867312, 7827555, 43617730, 22231079, 3059832, 21771562, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 77250443, 39637338, 84938156, 31606788, 76938955, 13613135, 41552228, 28009845, 33606651, 37146527, ]), y_minus_x: FieldElement2625([ 33114149, 17665080, 40583177, 20211034, 33076704, 8716171, 1151462, 1521897, 66126199, 26716628, ]), xy2d: FieldElement2625([ 34169699, 29298616, 23947180, 33230254, 34035889, 21248794, 50471177, 3891703, 26353178, 693168, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 97483084, 35150011, 117333688, 46741361, 71709207, 33961335, 76694157, 33153763, 31375463, 47924397, ]), y_minus_x: FieldElement2625([ 52738210, 25781902, 1510300, 6434173, 48324075, 27291703, 32732229, 20445593, 17901440, 16011505, ]), xy2d: FieldElement2625([ 18171223, 21619806, 54608461, 15197121, 56070717, 18324396, 47936623, 17508055, 8764034, 12309598, ]), }, ]), LookupTable([ AffineNielsPoint { y_plus_x: FieldElement2625([ 73084753, 28311243, 47649501, 23872684, 55567586, 14015781, 110551971, 34782749, 17544095, 22960650, ]), y_minus_x: FieldElement2625([ 5811932, 31839139, 3442886, 31285122, 48741515, 25194890, 49064820, 18144304, 61543482, 12348899, ]), xy2d: FieldElement2625([ 35709185, 11407554, 25755363, 6891399, 63851926, 14872273, 42259511, 8141294, 56476330, 32968952, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 121542424, 34248456, 62032718, 46854775, 81124121, 19103037, 124519055, 22225380, 30944592, 1130208, ]), y_minus_x: FieldElement2625([ 8247747, 26843490, 40546482, 25845122, 52706924, 18905521, 4652151, 2488540, 23550156, 33283200, ]), xy2d: FieldElement2625([ 17294297, 29765994, 7026747, 15626851, 22990044, 113481, 2267737, 27646286, 66700045, 33416712, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 83199930, 17300505, 85708115, 40895109, 69246500, 32332774, 63744702, 48105367, 70369388, 26388160, ]), y_minus_x: FieldElement2625([ 62198760, 20221544, 18550886, 10864893, 50649539, 26262835, 44079994, 20349526, 54360141, 2701325, ]), xy2d: FieldElement2625([ 58534169, 16099414, 4629974, 17213908, 46322650, 27548999, 57090500, 9276970, 11329923, 1862132, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 14763057, 17650824, 103299457, 3689865, 70620756, 43867957, 45157775, 45773662, 58070900, 32614131, ]), y_minus_x: FieldElement2625([ 8894987, 30108338, 6150752, 3013931, 301220, 15693451, 35127648, 30644714, 51670695, 11595569, ]), xy2d: FieldElement2625([ 15214943, 3537601, 40870142, 19495559, 4418656, 18323671, 13947275, 10730794, 53619402, 29190761, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 64570539, 41237224, 99867876, 33817540, 104232996, 25598978, 111885603, 23365795, 68085971, 34254425, ]), y_minus_x: FieldElement2625([ 54642373, 4195083, 57897332, 550903, 51543527, 12917919, 19118110, 33114591, 36574330, 19216518, ]), xy2d: FieldElement2625([ 31788442, 19046775, 4799988, 7372237, 8808585, 18806489, 9408236, 23502657, 12493931, 28145115, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 41428258, 5260743, 47873055, 27269961, 63412921, 16566086, 94327144, 36161552, 29375954, 6024730, ]), y_minus_x: FieldElement2625([ 842132, 30759739, 62345482, 24831616, 26332017, 21148791, 11831879, 6985184, 57168503, 2854095, ]), xy2d: FieldElement2625([ 62261602, 25585100, 2516241, 27706719, 9695690, 26333246, 16512644, 960770, 12121869, 16648078, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 51890193, 48221527, 53772634, 35568148, 97707150, 33090294, 35603941, 25672367, 20237805, 36392843, ]), y_minus_x: FieldElement2625([ 47820798, 4453151, 15298546, 17376044, 22115042, 17581828, 12544293, 20083975, 1068880, 21054527, ]), xy2d: FieldElement2625([ 57549981, 17035596, 33238497, 13506958, 30505848, 32439836, 58621956, 30924378, 12521377, 4845654, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 106019188, 44298538, 64150483, 43754095, 74868174, 54020263, 70518210, 32681031, 127735421, 20668560, ]), y_minus_x: FieldElement2625([ 43547042, 6230155, 46726851, 10655313, 43068279, 21933259, 10477733, 32314216, 63995636, 13974497, ]), xy2d: FieldElement2625([ 12966261, 15550616, 35069916, 31939085, 21025979, 32924988, 5642324, 7188737, 18895762, 12629579, ]), }, ]), LookupTable([ AffineNielsPoint { y_plus_x: FieldElement2625([ 14741860, 18607545, 89286071, 21833194, 68388604, 41613031, 11758139, 34343875, 32195180, 37450109, ]), y_minus_x: FieldElement2625([ 10758205, 15755439, 62598914, 9243697, 62229442, 6879878, 64904289, 29988312, 58126794, 4429646, ]), xy2d: FieldElement2625([ 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22392694, 24760584, 29207344, 25577410, 20175752, ]), xy2d: FieldElement2625([ 42818486, 4759344, 66418211, 31701615, 2066746, 10693769, 37513074, 9884935, 57739938, 4745409, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 57967561, 39604145, 47577802, 29213020, 102956929, 43498706, 51646855, 55797011, 78040786, 21622500, ]), y_minus_x: FieldElement2625([ 50547351, 14112679, 59096219, 4817317, 59068400, 22139825, 44255434, 10856640, 46638094, 13434653, ]), xy2d: FieldElement2625([ 22759470, 23480998, 50342599, 31683009, 13637441, 23386341, 1765143, 20900106, 28445306, 28189722, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 29875044, 46048045, 69904399, 63322533, 68819482, 48735613, 56913146, 24765756, 9074233, 34721612, ]), y_minus_x: FieldElement2625([ 40903181, 11014232, 57266213, 30918946, 40200743, 7532293, 48391976, 24018933, 3843902, 9367684, ]), xy2d: FieldElement2625([ 56139269, 27150720, 9591133, 9582310, 11349256, 108879, 16235123, 8601684, 66969667, 4242894, ]), }, ]), LookupTable([ AffineNielsPoint { y_plus_x: FieldElement2625([ 89201818, 53917740, 65066069, 21585919, 99295616, 55591475, 60534521, 36025091, 106800361, 16625499, ]), y_minus_x: FieldElement2625([ 56051142, 3042015, 13770083, 24296510, 584235, 33009577, 59338006, 2602724, 39757248, 14247412, ]), xy2d: FieldElement2625([ 6314156, 23289540, 34336361, 15957556, 56951134, 168749, 58490057, 14290060, 27108877, 32373552, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 58522248, 26383465, 80350645, 44514587, 34117848, 19759835, 100656839, 22495542, 107069276, 34536304, ]), y_minus_x: FieldElement2625([ 22833421, 9293594, 34459416, 19935764, 57971897, 14756818, 44180005, 19583651, 56629059, 17356469, ]), xy2d: FieldElement2625([ 59340277, 3326785, 38997067, 10783823, 19178761, 14905060, 22680049, 13906969, 51175174, 3797898, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 88830182, 29341685, 54902740, 42864613, 63226624, 19901321, 90849087, 30845199, 87600846, 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37783946, 411173, 14578841, 8080033, 55534529, 22952821, ]), xy2d: FieldElement2625([ 19598397, 10334610, 12555054, 2555664, 18821899, 23214652, 21873262, 16014234, 26224780, 16452269, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 36884920, 5145195, 73053412, 49940397, 71085598, 35564328, 122839923, 25936244, 46575034, 37253081, ]), y_minus_x: FieldElement2625([ 14187449, 3448569, 56472628, 22743496, 44444983, 30120835, 7268409, 22663988, 27394300, 12015369, ]), xy2d: FieldElement2625([ 19695742, 16087646, 28032085, 12999827, 6817792, 11427614, 20244189, 32241655, 53849736, 30151970, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 97968948, 12735207, 65220619, 28854697, 50133957, 35811371, 126051714, 45852742, 58558339, 23160969, ]), y_minus_x: FieldElement2625([ 61389038, 22309106, 65198214, 15569034, 26642876, 25966672, 61319509, 18435777, 62132699, 12651792, ]), xy2d: FieldElement2625([ 64260450, 9953420, 11531313, 28271553, 26895122, 20857343, 53990043, 17036529, 9768697, 31021214, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 109498250, 35449081, 66821165, 28850346, 82457582, 25397901, 32767512, 46319882, 72048958, 44232657, ]), y_minus_x: FieldElement2625([ 18860224, 15980149, 48121624, 31991861, 40875851, 22482575, 59264981, 13944023, 42736516, 16582018, ]), xy2d: FieldElement2625([ 51604604, 4970267, 37215820, 4175592, 46115652, 31354675, 55404809, 15444559, 56105103, 7989036, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 98599278, 39122492, 64696060, 35736814, 34772016, 38086117, 35030594, 39754637, 47422750, 52308692, ]), y_minus_x: FieldElement2625([ 49800177, 17674491, 35586086, 33551600, 34221481, 16375548, 8680158, 17182719, 28550067, 26697300, ]), xy2d: FieldElement2625([ 38981977, 27866340, 16837844, 31733974, 60258182, 12700015, 37068883, 4364037, 1155602, 5988841, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 88999280, 20281524, 121593716, 12154347, 59276991, 48854927, 90257846, 29083950, 91727270, 41837612, ]), y_minus_x: FieldElement2625([ 33972757, 23041680, 9975415, 6841041, 35549071, 16356535, 3070187, 26528504, 1466168, 10740210, ]), xy2d: FieldElement2625([ 65599446, 18066246, 53605478, 22898515, 32799043, 909394, 53169961, 27774712, 34944214, 18227391, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 71069668, 19286628, 39082773, 51190812, 47704004, 46701299, 82676190, 34505938, 63848542, 32980496, ]), y_minus_x: FieldElement2625([ 24740822, 5052253, 37014733, 8961360, 25877428, 6165135, 42740684, 14397371, 59728495, 27410326, ]), xy2d: FieldElement2625([ 38220480, 3510802, 39005586, 32395953, 55870735, 22922977, 51667400, 19101303, 65483377, 27059617, ]), }, ]), LookupTable([ AffineNielsPoint { y_plus_x: FieldElement2625([ 67902144, 24323953, 75945165, 27318724, 39747955, 31184838, 100261706, 62223612, 57202662, 32932579, ]), y_minus_x: FieldElement2625([ 5666214, 525582, 20782575, 25516013, 42570364, 14657739, 16099374, 1468826, 60937436, 18367850, ]), xy2d: FieldElement2625([ 62249590, 29775088, 64191105, 26806412, 7778749, 11688288, 36704511, 23683193, 65549940, 23690785, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 10896313, 25834728, 67933138, 34027032, 114757419, 36564017, 25248957, 48337770, 36527387, 17796587, ]), y_minus_x: FieldElement2625([ 10566929, 12612572, 35164652, 11118702, 54475488, 12362878, 21752402, 8822496, 24003793, 14264025, ]), xy2d: FieldElement2625([ 27713843, 26198459, 56100623, 9227529, 27050101, 2504721, 23886875, 20436907, 13958494, 27821979, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 110736080, 38421656, 39861735, 37454952, 29838368, 25342141, 102328328, 23512649, 74449384, 51698795, ]), y_minus_x: FieldElement2625([ 4646495, 25543308, 44342840, 22021777, 23184552, 8566613, 31366726, 32173371, 52042079, 23179239, ]), xy2d: FieldElement2625([ 49838347, 12723031, 50115803, 14878793, 21619651, 27356856, 27584816, 3093888, 58265170, 3849920, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 58043933, 35657603, 92670503, 51983125, 61869038, 43137389, 99585908, 24536476, 72111157, 18004172, ]), y_minus_x: FieldElement2625([ 55051311, 22376525, 21115584, 20189277, 8808711, 21523724, 16489529, 13378448, 41263148, 12741425, ]), xy2d: FieldElement2625([ 61162478, 10645102, 36197278, 15390283, 63821882, 26435754, 24306471, 15852464, 28834118, 25908360, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 49773097, 24447374, 109686448, 42989383, 58636779, 32971069, 54018092, 34010272, 87570721, 39045736, ]), y_minus_x: FieldElement2625([ 13669229, 17458950, 54626889, 23351392, 52539093, 21661233, 42112877, 11293806, 38520660, 24132599, ]), xy2d: FieldElement2625([ 28497909, 6272777, 34085870, 14470569, 8906179, 32328802, 18504673, 19389266, 29867744, 24758489, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 50901822, 47071627, 39309233, 19856633, 24009063, 60734973, 60741262, 53933471, 22853427, 29542421, ]), y_minus_x: FieldElement2625([ 24191359, 16712145, 53177067, 15217830, 14542237, 1646131, 18603514, 22516545, 12876622, 31441985, ]), xy2d: FieldElement2625([ 17902668, 4518229, 66697162, 30725184, 26878216, 5258055, 54248111, 608396, 16031844, 3723494, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 105584936, 12763726, 46662418, 41131935, 33001347, 54091119, 17558840, 59235974, 23896952, 29240187, ]), y_minus_x: FieldElement2625([ 47103464, 21542479, 31520463, 605201, 2543521, 5991821, 64163800, 7229063, 57189218, 24727572, ]), xy2d: FieldElement2625([ 28816026, 298879, 38943848, 17633493, 19000927, 31888542, 54428030, 30605106, 49057085, 31471516, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 16000882, 33209536, 70601955, 55661665, 37604267, 20394642, 79686603, 49595699, 47393623, 7847706, ]), y_minus_x: FieldElement2625([ 10151868, 10572098, 27312476, 7922682, 14825339, 4723128, 34252933, 27035413, 57088296, 3852847, ]), xy2d: FieldElement2625([ 55678375, 15697595, 45987307, 29133784, 5386313, 15063598, 16514493, 17622322, 29330898, 18478208, ]), }, ]), LookupTable([ AffineNielsPoint { y_plus_x: FieldElement2625([ 41609110, 29175637, 51885955, 26653220, 83724594, 35606215, 70412565, 33569921, 106668931, 45868821, ]), y_minus_x: FieldElement2625([ 15683501, 27551389, 18109119, 23573784, 15337967, 27556609, 50391428, 15921865, 16103996, 29823217, ]), xy2d: FieldElement2625([ 43939021, 22773182, 13588191, 31925625, 63310306, 32479502, 47835256, 5402698, 37293151, 23713330, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 90299521, 35939014, 34394523, 37016585, 104314072, 32025298, 55842007, 8911516, 109011869, 36294143, ]), y_minus_x: FieldElement2625([ 21374101, 30000182, 33584214, 9874410, 15377179, 11831242, 33578960, 6134906, 4931255, 11987849, ]), xy2d: FieldElement2625([ 67101132, 30575573, 50885377, 7277596, 105524, 33232381, 35628324, 13861387, 37032554, 10117929, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 37607694, 22809559, 40945095, 13051538, 41483300, 38644074, 127892224, 40258509, 79998882, 15728939, ]), y_minus_x: FieldElement2625([ 45136504, 21783052, 66157804, 29135591, 14704839, 2695116, 903376, 23126293, 12885166, 8311031, ]), xy2d: FieldElement2625([ 49592363, 5352193, 10384213, 19742774, 7506450, 13453191, 26423267, 4384730, 1888765, 28119028, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 108400371, 64001550, 120723127, 30371924, 98005322, 19632702, 101966083, 20846561, 47644429, 30214188, ]), y_minus_x: FieldElement2625([ 43500868, 30888657, 66582772, 4651135, 5765089, 4618330, 6092245, 14845197, 17151279, 23700316, ]), xy2d: FieldElement2625([ 42278406, 20820711, 51942885, 10367249, 37577956, 33289075, 22825804, 26467153, 50242379, 16176524, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 43525570, 40119392, 87172552, 37352659, 129477549, 40913655, 69115045, 23191005, 38362610, 56911354, ]), y_minus_x: FieldElement2625([ 56482264, 29068029, 53788301, 28429114, 3432135, 27161203, 23632036, 31613822, 32808309, 1099883, ]), xy2d: FieldElement2625([ 15030958, 5768825, 39657628, 30667132, 60681485, 18193060, 51830967, 26745081, 2051440, 18328567, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 63746522, 26315059, 74626753, 43379423, 90664713, 33849800, 72257261, 52954675, 44422508, 50188091, ]), y_minus_x: FieldElement2625([ 4577067, 16802144, 13249840, 18250104, 19958762, 19017158, 18559669, 22794883, 8402477, 23690159, ]), xy2d: FieldElement2625([ 38702534, 32502850, 40318708, 32646733, 49896449, 22523642, 9453450, 18574360, 17983009, 9967138, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 41346351, 40079153, 93694351, 43523701, 24709297, 34774792, 65430873, 7806336, 84616260, 37205991, ]), y_minus_x: FieldElement2625([ 56688388, 29436320, 14584638, 15971087, 51340543, 8861009, 26556809, 27979875, 48555541, 22197296, ]), xy2d: FieldElement2625([ 2839082, 14284142, 4029895, 3472686, 14402957, 12689363, 40466743, 8459446, 61503401, 25932490, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 62269556, 30018987, 76853824, 2871047, 92222842, 36741449, 109106914, 32705364, 84366947, 25576692, ]), y_minus_x: FieldElement2625([ 18164541, 22959256, 49953981, 32012014, 19237077, 23809137, 23357532, 18337424, 26908269, 12150756, ]), xy2d: FieldElement2625([ 36843994, 25906566, 5112248, 26517760, 65609056, 26580174, 43167, 28016731, 34806789, 16215818, ]), }, ]), LookupTable([ AffineNielsPoint { y_plus_x: FieldElement2625([ 60209940, 43378825, 54804084, 29153342, 102820586, 27277595, 99683352, 46087336, 59605791, 24879084, ]), y_minus_x: FieldElement2625([ 39765323, 17038963, 39957339, 22831480, 946345, 16291093, 254968, 7168080, 21676107, 31611404, ]), xy2d: FieldElement2625([ 21260942, 25129680, 50276977, 21633609, 43430902, 3968120, 63456915, 27338965, 63552672, 25641356, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 16544735, 46804798, 50304435, 49100673, 62525860, 46311689, 64646555, 24874095, 48201831, 23891632, ]), y_minus_x: FieldElement2625([ 64693606, 17976703, 18312302, 4964443, 51836334, 20900867, 26820650, 16690659, 25459437, 28989823, ]), xy2d: FieldElement2625([ 41964155, 11425019, 28423002, 22533875, 60963942, 17728207, 9142794, 31162830, 60676445, 31909614, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 44004193, 39807907, 16964146, 29785560, 109103755, 54812425, 39651637, 50764205, 73444554, 40804420, ]), y_minus_x: FieldElement2625([ 36775618, 13979674, 7503222, 21186118, 55152142, 28932738, 36836594, 2682241, 25993170, 21075909, ]), xy2d: FieldElement2625([ 4364628, 5930691, 32304656, 23509878, 59054082, 15091130, 22857016, 22955477, 31820367, 15075278, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 98987979, 24635738, 84367624, 33645057, 126175891, 28636721, 91271651, 23903545, 116247489, 46387475, ]), y_minus_x: FieldElement2625([ 19073683, 14851414, 42705695, 21694263, 7625277, 11091125, 47489674, 2074448, 57694925, 14905376, ]), xy2d: FieldElement2625([ 24483648, 21618865, 64589997, 22007013, 65555733, 15355505, 41826784, 9253128, 27628530, 25998952, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 84706452, 41895034, 86464480, 34106618, 26198469, 30377849, 71702187, 24396849, 120106852, 48851446, ]), y_minus_x: FieldElement2625([ 510886, 14337390, 35323607, 16638631, 6328095, 2713355, 46891447, 21690211, 8683220, 2921426, ]), xy2d: FieldElement2625([ 18606791, 11874196, 27155355, 28272950, 43077121, 6265445, 41930624, 32275507, 4674689, 13890525, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 13609605, 13069022, 106845367, 20498522, 91469449, 43147405, 82086020, 43389536, 71498550, 33842827, ]), y_minus_x: FieldElement2625([ 9922506, 33035038, 13613106, 5883594, 48350519, 33120168, 54804801, 8317627, 23388070, 16052080, ]), xy2d: FieldElement2625([ 12719997, 11937594, 35138804, 28525742, 26900119, 8561328, 46953177, 21921452, 52354592, 22741539, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 83070703, 47704840, 93825794, 32888599, 111423399, 47157999, 78938436, 41022275, 38286735, 34483706, ]), y_minus_x: FieldElement2625([ 11038231, 21972036, 39798381, 26237869, 56610336, 17246600, 43629330, 24182562, 45715720, 2465073, ]), xy2d: FieldElement2625([ 20017144, 29231206, 27915241, 1529148, 12396362, 15675764, 13817261, 23896366, 2463390, 28932292, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 50749967, 20890520, 122152544, 38550884, 65852441, 34628003, 76692421, 12851106, 71112760, 46228148, ]), y_minus_x: FieldElement2625([ 65377275, 18398561, 63845933, 16143081, 19294135, 13385325, 14741514, 24450706, 7903885, 2348101, ]), xy2d: FieldElement2625([ 24536016, 17039225, 12715591, 29692277, 1511292, 10047386, 63266518, 26425272, 38731325, 10048126, ]), }, ]), LookupTable([ AffineNielsPoint { y_plus_x: FieldElement2625([ 54486638, 27349611, 97827688, 2591311, 56491836, 12192839, 85982162, 59811773, 34811106, 15221631, ]), y_minus_x: FieldElement2625([ 40630742, 22450567, 11546243, 31701949, 9180879, 7656409, 45764914, 2095754, 29769758, 6593415, ]), xy2d: FieldElement2625([ 35114656, 30646970, 4176911, 3264766, 12538965, 32686321, 26312344, 27435754, 30958053, 8292160, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 98538667, 53149747, 96282394, 15632447, 12174511, 64348770, 99917693, 37531617, 93251999, 30405555, ]), y_minus_x: FieldElement2625([ 22648882, 1402143, 44308880, 13746058, 7936347, 365344, 58440231, 31879998, 63350620, 31249806, ]), xy2d: FieldElement2625([ 51616947, 8012312, 64594134, 20851969, 43143017, 23300402, 65496150, 32018862, 50444388, 8194477, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 27338047, 26047012, 59694639, 10140404, 48082437, 26964542, 94386054, 42409807, 95681149, 36559595, ]), y_minus_x: FieldElement2625([ 26287105, 4821776, 25476601, 29408529, 63344350, 17765447, 49100281, 1182478, 41014043, 20474836, ]), xy2d: FieldElement2625([ 59937691, 3178079, 23970071, 6201893, 49913287, 29065239, 45232588, 19571804, 32208682, 32356184, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 50451143, 36372074, 56822501, 14811297, 73133531, 46903936, 39793359, 56611021, 39436277, 22014573, ]), y_minus_x: FieldElement2625([ 15941010, 24148500, 45741813, 8062054, 31876073, 33315803, 51830470, 32110002, 15397330, 29424239, ]), xy2d: FieldElement2625([ 8934485, 20068965, 43822466, 20131190, 34662773, 14047985, 31170398, 32113411, 39603297, 15087183, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 115860466, 31397939, 24524912, 16876564, 82629290, 27193655, 118715321, 11461894, 83897392, 27685489, ]), y_minus_x: FieldElement2625([ 65161459, 16013772, 21750665, 3714552, 49707082, 17498998, 63338576, 23231111, 31322513, 21938797, ]), xy2d: FieldElement2625([ 21426636, 27904214, 53460576, 28206894, 38296674, 28633461, 48833472, 18933017, 13040861, 21441484, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 78402740, 46032517, 107081326, 48638180, 104910306, 14748870, 14555558, 20137329, 68722574, 38451366, ]), y_minus_x: FieldElement2625([ 41213962, 15323293, 58619073, 25496531, 25967125, 20128972, 2825959, 28657387, 43137087, 22287016, ]), xy2d: FieldElement2625([ 51184079, 28324551, 49665331, 6410663, 3622847, 10243618, 20615400, 12405433, 43355834, 25118015, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 127126414, 46110638, 114026375, 9025185, 50036385, 4333800, 71487300, 35986461, 23097948, 32988414, ]), y_minus_x: FieldElement2625([ 4565804, 17528778, 20084411, 25711615, 1724998, 189254, 24767264, 10103221, 48596551, 2424777, ]), xy2d: FieldElement2625([ 366633, 21577626, 8173089, 26664313, 30788633, 5745705, 59940186, 1344108, 63466311, 12412658, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 110215918, 41244716, 82038279, 33386174, 102006892, 53695876, 91271559, 51782359, 63967361, 44733816, ]), y_minus_x: FieldElement2625([ 18289503, 18829478, 8056944, 16430056, 45379140, 7842513, 61107423, 32067534, 48424218, 22110928, ]), xy2d: FieldElement2625([ 476239, 6601091, 60956074, 23831056, 17503544, 28690532, 27672958, 13403813, 11052904, 5219329, ]), }, ]), LookupTable([ AffineNielsPoint { y_plus_x: FieldElement2625([ 87787372, 25178693, 34436965, 42403554, 129207969, 48129182, 98295834, 29580701, 9014761, 58529808, ]), y_minus_x: FieldElement2625([ 53464795, 23204192, 51146355, 5075807, 65594203, 22019831, 34006363, 9160279, 8473550, 30297594, ]), xy2d: FieldElement2625([ 24900749, 14435722, 17209120, 18261891, 44516588, 9878982, 59419555, 17218610, 42540382, 11788947, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 63990690, 22159237, 53306774, 48351872, 76761311, 26708527, 47071426, 43965164, 42540393, 32095740, ]), y_minus_x: FieldElement2625([ 51449703, 16736705, 44641714, 10215877, 58011687, 7563910, 11871841, 21049238, 48595538, 8464117, ]), xy2d: FieldElement2625([ 43708233, 8348506, 52522913, 32692717, 63158658, 27181012, 14325288, 8628612, 33313881, 25183915, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 46921853, 28586496, 89476219, 38825978, 66011746, 28765593, 109412060, 23317576, 58168128, 61290594, ]), y_minus_x: FieldElement2625([ 60160060, 31759219, 34483180, 17533252, 32635413, 26180187, 15989196, 20716244, 28358191, 29300528, ]), xy2d: FieldElement2625([ 43547083, 30755372, 34757181, 31892468, 57961144, 10429266, 50471180, 4072015, 61757200, 5596588, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 105981130, 30164382, 79421759, 39767609, 3117141, 49632997, 29266238, 36111653, 68877164, 15373192, ]), y_minus_x: FieldElement2625([ 59865506, 30307471, 62515396, 26001078, 66980936, 32642186, 66017961, 29049440, 42448372, 3442909, ]), xy2d: FieldElement2625([ 36898293, 5124042, 14181784, 8197961, 18964734, 21615339, 22597930, 7176455, 48523386, 13365929, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 59231455, 32054473, 75433536, 38244510, 73370723, 34444877, 24538106, 24984246, 57419264, 30522764, ]), y_minus_x: FieldElement2625([ 25008885, 22782833, 62803832, 23916421, 16265035, 15721635, 683793, 21730648, 15723478, 18390951, ]), xy2d: FieldElement2625([ 57448220, 12374378, 40101865, 26528283, 59384749, 21239917, 11879681, 5400171, 519526, 32318556, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 22258378, 50776631, 59239045, 14613015, 44588609, 30603508, 46754982, 40870398, 16648396, 41160072, ]), y_minus_x: FieldElement2625([ 59027556, 25089834, 58885552, 9719709, 19259459, 18206220, 23994941, 28272877, 57640015, 4763277, ]), xy2d: FieldElement2625([ 45409620, 9220968, 51378240, 1084136, 41632757, 30702041, 31088446, 25789909, 55752334, 728111, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 26047201, 55357393, 127317403, 50587064, 91200930, 9158118, 62835319, 20998873, 104852291, 28056158, ]), y_minus_x: FieldElement2625([ 17510331, 33231575, 5854288, 8403524, 17133918, 30441820, 38997856, 12327944, 10750447, 10014012, ]), xy2d: FieldElement2625([ 56796096, 3936951, 9156313, 24656749, 16498691, 32559785, 39627812, 32887699, 3424690, 7540221, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 97431206, 26590321, 78469868, 29411114, 74542167, 4989747, 127146306, 50791643, 57864597, 48812477, ]), y_minus_x: FieldElement2625([ 13054543, 30774935, 19155473, 469045, 54626067, 4566041, 5631406, 2711395, 1062915, 28418087, ]), xy2d: FieldElement2625([ 47868616, 22299832, 37599834, 26054466, 61273100, 13005410, 61042375, 12194496, 32960380, 1459310, ]), }, ]), LookupTable([ AffineNielsPoint { y_plus_x: FieldElement2625([ 86960860, 40582355, 90778216, 43574797, 75695366, 26896524, 67503060, 27452546, 85746866, 55933926, ]), y_minus_x: FieldElement2625([ 31395515, 15098109, 26581030, 8030562, 50580950, 28547297, 9012485, 25970078, 60465776, 28111795, ]), xy2d: FieldElement2625([ 57916680, 31207054, 65111764, 4529533, 25766844, 607986, 67095642, 9677542, 34813975, 27098423, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 64664330, 33404494, 96457765, 8186664, 68982624, 12489862, 103283149, 25714738, 59256019, 58970434, ]), y_minus_x: FieldElement2625([ 51872508, 18120922, 7766469, 746860, 26346930, 23332670, 39775412, 10754587, 57677388, 5203575, ]), xy2d: FieldElement2625([ 31834314, 14135496, 66338857, 5159117, 20917671, 16786336, 59640890, 26216907, 31809242, 7347066, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 57502122, 21680191, 87523322, 46588417, 80825387, 21862550, 86906833, 21343176, 82301739, 31466941, ]), y_minus_x: FieldElement2625([ 54445282, 31372712, 1168161, 29749623, 26747876, 19416341, 10609329, 12694420, 33473243, 20172328, ]), xy2d: FieldElement2625([ 33184999, 11180355, 15832085, 22169002, 65475192, 225883, 15089336, 22530529, 60973201, 14480052, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 98417562, 27934433, 98139703, 31657332, 82783410, 26971548, 72605071, 13685226, 27595050, 42291707, ]), y_minus_x: FieldElement2625([ 46790012, 18404192, 10933842, 17376410, 8335351, 26008410, 36100512, 20943827, 26498113, 66511, ]), xy2d: FieldElement2625([ 22644435, 24792703, 50437087, 4884561, 64003250, 19995065, 30540765, 29267685, 53781076, 26039336, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 106199862, 9834843, 85726071, 30873119, 63706907, 53801357, 75314402, 13585436, 117090263, 48669869, ]), y_minus_x: FieldElement2625([ 23711543, 32881517, 31206560, 25191721, 6164646, 23844445, 33572981, 32128335, 8236920, 16492939, ]), xy2d: FieldElement2625([ 43198286, 20038905, 40809380, 29050590, 25005589, 25867162, 19574901, 10071562, 6708380, 27332008, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 69210217, 28624377, 86811594, 35922006, 118790560, 34602105, 72409880, 42883131, 29955600, 55430554, ]), y_minus_x: FieldElement2625([ 3096359, 9271816, 45488000, 18032587, 52260867, 25961494, 41216721, 20918836, 57191288, 6216607, ]), xy2d: FieldElement2625([ 34493015, 338662, 41913253, 2510421, 37895298, 19734218, 24822829, 27407865, 40341383, 7525078, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 44042196, 53123240, 83242349, 25658253, 130828162, 34333218, 66198527, 30771936, 47722230, 45548532, ]), y_minus_x: FieldElement2625([ 21691500, 19929806, 66467532, 19187410, 3285880, 30070836, 42044197, 9718257, 59631427, 13381417, ]), xy2d: FieldElement2625([ 18445390, 29352196, 14979845, 11622458, 65381754, 29971451, 23111647, 27179185, 28535281, 15779576, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 30098034, 36644094, 124983340, 16662133, 45801924, 44862842, 53040409, 12021729, 77064149, 17251075, ]), y_minus_x: FieldElement2625([ 9734894, 18977602, 59635230, 24415696, 2060391, 11313496, 48682835, 9924398, 20194861, 13380996, ]), xy2d: FieldElement2625([ 40730762, 25589224, 44941042, 15789296, 49053522, 27385639, 65123949, 15707770, 26342023, 10146099, ]), }, ]), LookupTable([ AffineNielsPoint { y_plus_x: FieldElement2625([ 41091971, 33334488, 88448054, 33513043, 86854119, 30675731, 37471583, 35781471, 21612325, 33008704, ]), y_minus_x: FieldElement2625([ 54031477, 1184227, 23562814, 27583990, 46757619, 27205717, 25764460, 12243797, 46252298, 11649657, ]), xy2d: FieldElement2625([ 57077370, 11262625, 27384172, 2271902, 26947504, 17556661, 39943, 6114064, 33514190, 2333242, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 112784121, 54687041, 75228644, 40774344, 45278341, 58092729, 60429112, 54438225, 91459440, 20104430, ]), y_minus_x: FieldElement2625([ 62992557, 22282898, 43222677, 4843614, 37020525, 690622, 35572776, 23147595, 8317859, 12352766, ]), xy2d: FieldElement2625([ 18200138, 19078521, 34021104, 30857812, 43406342, 24451920, 43556767, 31266881, 20712162, 6719373, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 26656189, 39629685, 59250307, 35440503, 105873684, 37816756, 78226393, 29791221, 26224234, 30256974, ]), y_minus_x: FieldElement2625([ 49939907, 18700334, 63713187, 17184554, 47154818, 14050419, 21728352, 9493610, 18620611, 17125804, ]), xy2d: FieldElement2625([ 53785524, 13325348, 11432106, 5964811, 18609221, 6062965, 61839393, 23828875, 36407290, 17074774, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 43248307, 55875704, 94070219, 35195292, 34695751, 16816491, 79357372, 28313792, 80844205, 35488493, ]), y_minus_x: FieldElement2625([ 25089769, 6742589, 17081145, 20148166, 21909292, 17486451, 51972569, 29789085, 45830866, 5473615, ]), xy2d: FieldElement2625([ 31883658, 25593331, 1083431, 21982029, 22828470, 13290673, 59983779, 12469655, 29111212, 28103418, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 91353792, 52058456, 107954750, 36345970, 52111264, 50221109, 91476329, 39943270, 56813276, 34006814, ]), y_minus_x: FieldElement2625([ 41468082, 30136590, 5217915, 16224624, 19987036, 29472163, 42872612, 27639183, 15766061, 8407814, ]), xy2d: FieldElement2625([ 46701865, 13990230, 15495425, 16395525, 5377168, 15166495, 58191841, 29165478, 59040954, 2276717, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 30157899, 46478498, 116505677, 42800183, 87003891, 36922573, 43281276, 38650650, 89849239, 26251014, ]), y_minus_x: FieldElement2625([ 2041139, 19298082, 7783686, 13876377, 41161879, 20201972, 24051123, 13742383, 51471265, 13295221, ]), xy2d: FieldElement2625([ 33338218, 25048699, 12532112, 7977527, 9106186, 31839181, 49388668, 28941459, 62657506, 18884987, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 47063564, 39008528, 52762315, 40001577, 28862070, 35438083, 64639597, 29412551, 74879432, 43175028, ]), y_minus_x: FieldElement2625([ 23208049, 7979712, 33071466, 8149229, 1758231, 22719437, 30945527, 31860109, 33606523, 18786461, ]), xy2d: FieldElement2625([ 1439939, 17283952, 66028874, 32760649, 4625401, 10647766, 62065063, 1220117, 30494170, 22113633, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 62071265, 20526136, 64138304, 30492664, 82749837, 26852765, 40369837, 34480481, 65424524, 20220784, ]), y_minus_x: FieldElement2625([ 13908495, 30005160, 30919927, 27280607, 45587000, 7989038, 9021034, 9078865, 3353509, 4033511, ]), xy2d: FieldElement2625([ 37445433, 18440821, 32259990, 33209950, 24295848, 20642309, 23161162, 8839127, 27485041, 7356032, ]), }, ]), LookupTable([ AffineNielsPoint { y_plus_x: FieldElement2625([ 76769853, 34259874, 79088928, 28184277, 65480320, 14661172, 60762722, 36179446, 95539899, 50337029, ]), y_minus_x: FieldElement2625([ 43269631, 25243016, 41163352, 7480957, 49427195, 25200248, 44562891, 14150564, 15970762, 4099461, ]), xy2d: FieldElement2625([ 29262576, 16756590, 26350592, 24760869, 8529670, 22346382, 13617292, 23617289, 11465738, 8317062, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 41615764, 26591503, 99609063, 24135380, 44070139, 31252209, 82007500, 37402886, 88078197, 28396915, ]), y_minus_x: FieldElement2625([ 46724414, 19206718, 48772458, 13884721, 34069410, 2842113, 45498038, 29904543, 11177094, 14989547, ]), xy2d: FieldElement2625([ 42612143, 21838415, 16959895, 2278463, 12066309, 10137771, 13515641, 2581286, 38621356, 9930239, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 49357223, 31456605, 83653163, 54099563, 118302919, 18605349, 18345766, 53705111, 83400343, 28240393, ]), y_minus_x: FieldElement2625([ 33879670, 2553287, 32678213, 9875984, 8534129, 6889387, 57432090, 6957616, 4368891, 9788741, ]), xy2d: FieldElement2625([ 16660737, 7281060, 56278106, 12911819, 20108584, 25452756, 45386327, 24941283, 16250551, 22443329, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 47343357, 35944957, 117666696, 14161978, 69014150, 39969338, 71798447, 10604806, 104027325, 4782745, ]), y_minus_x: FieldElement2625([ 65754325, 14736940, 59741422, 20261545, 7710541, 19398842, 57127292, 4383044, 22546403, 437323, ]), xy2d: FieldElement2625([ 31665558, 21373968, 50922033, 1491338, 48740239, 3294681, 27343084, 2786261, 36475274, 19457415, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 52641566, 32870716, 33734756, 41002983, 19294359, 14334329, 47418233, 35909750, 47824192, 27440058, ]), y_minus_x: FieldElement2625([ 15121312, 17758270, 6377019, 27523071, 56310752, 20596586, 18952176, 15496498, 37728731, 11754227, ]), xy2d: FieldElement2625([ 64471568, 20071356, 8488726, 19250536, 12728760, 31931939, 7141595, 11724556, 22761615, 23420291, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 16918416, 11729663, 49025285, 36577418, 103201995, 53769203, 38367677, 21327038, 32851221, 11717399, ]), y_minus_x: FieldElement2625([ 11166615, 7338049, 60386341, 4531519, 37640192, 26252376, 31474878, 3483633, 65915689, 29523600, ]), xy2d: FieldElement2625([ 66923210, 9921304, 31456609, 20017994, 55095045, 13348922, 33142652, 6546660, 47123585, 29606055, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 101757113, 44821142, 55911756, 25655328, 31703693, 37410335, 58571732, 20721383, 36336829, 18068118, ]), y_minus_x: FieldElement2625([ 49102387, 12709067, 3991746, 27075244, 45617340, 23004006, 35973516, 17504552, 10928916, 3011958, ]), xy2d: FieldElement2625([ 60151107, 17960094, 31696058, 334240, 29576716, 14796075, 36277808, 20749251, 18008030, 10258577, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 44660220, 49210000, 74127342, 29144428, 36794597, 32352840, 65255398, 34921551, 92236737, 6671742, ]), y_minus_x: FieldElement2625([ 29701166, 19180498, 56230743, 9279287, 67091296, 13127209, 21382910, 11042292, 25838796, 4642684, ]), xy2d: FieldElement2625([ 46678630, 14955536, 42982517, 8124618, 61739576, 27563961, 30468146, 19653792, 18423288, 4177476, ]), }, ]), ]); /// Odd multiples of the basepoint `[B, 3B, 5B, 7B, 9B, 11B, 13B, 15B, ..., 127B]`. pub(crate) const AFFINE_ODD_MULTIPLES_OF_BASEPOINT: NafLookupTable8 = NafLookupTable8([ AffineNielsPoint { y_plus_x: FieldElement2625([ 93076338, 52752828, 29566454, 37215328, 54414518, 37569218, 94653489, 21800160, 61029707, 35602036, ]), y_minus_x: FieldElement2625([ 54563134, 934261, 64385954, 3049989, 66381436, 9406985, 12720692, 5043384, 19500929, 18085054, ]), xy2d: FieldElement2625([ 58370664, 4489569, 9688441, 18769238, 10184608, 21191052, 29287918, 11864899, 42594502, 29115885, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 82745136, 23865874, 24204772, 25642034, 67725840, 16869169, 94896463, 52336674, 28944398, 32004408, ]), y_minus_x: FieldElement2625([ 16568933, 4717097, 55552716, 32452109, 15682895, 21747389, 16354576, 21778470, 7689661, 11199574, ]), xy2d: FieldElement2625([ 30464137, 27578307, 55329429, 17883566, 23220364, 15915852, 7512774, 10017326, 49359771, 23634074, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 77970208, 11473153, 27284546, 35535607, 37044514, 46132292, 99976748, 48069538, 118779423, 44373810, ]), y_minus_x: FieldElement2625([ 4708026, 6336745, 20377586, 9066809, 55836755, 6594695, 41455196, 12483687, 54440373, 5581305, ]), xy2d: FieldElement2625([ 19563141, 16186464, 37722007, 4097518, 10237984, 29206317, 28542349, 13850243, 43430843, 17738489, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 72262591, 43463716, 68832610, 30776557, 97632468, 39071304, 86589715, 38784565, 43156424, 18378665, ]), y_minus_x: FieldElement2625([ 36839857, 30090922, 7665485, 10083793, 28475525, 1649722, 20654025, 16520125, 30598449, 7715701, ]), xy2d: FieldElement2625([ 28881826, 14381568, 9657904, 3680757, 46927229, 7843315, 35708204, 1370707, 29794553, 32145132, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 44589852, 26862249, 14201701, 24808930, 43598457, 42399157, 85583074, 32192981, 54046167, 47376308, ]), y_minus_x: FieldElement2625([ 60653668, 25714560, 3374701, 28813570, 40010246, 22982724, 31655027, 26342105, 18853321, 19333481, ]), xy2d: FieldElement2625([ 4566811, 20590564, 38133974, 21313742, 59506191, 30723862, 58594505, 23123294, 2207752, 30344648, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 41954014, 62923042, 96790006, 41423232, 60254202, 24130566, 121780363, 32891430, 103106264, 17421994, ]), y_minus_x: FieldElement2625([ 25576264, 30851218, 7349803, 21739588, 16472781, 9300885, 3844789, 15725684, 171356, 6466918, ]), xy2d: FieldElement2625([ 23103977, 13316479, 9739013, 17404951, 817874, 18515490, 8965338, 19466374, 36393951, 16193876, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 100695917, 36735143, 64714733, 47558118, 50205389, 17283591, 84347261, 38283886, 49034350, 9256799, ]), y_minus_x: FieldElement2625([ 41926547, 29380300, 32336397, 5036987, 45872047, 11360616, 22616405, 9761698, 47281666, 630304, ]), xy2d: FieldElement2625([ 53388152, 2639452, 42871404, 26147950, 9494426, 27780403, 60554312, 17593437, 64659607, 19263131, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 63957664, 28508356, 76391577, 40420576, 102310665, 32691407, 48168288, 15033783, 92213982, 25659555, ]), y_minus_x: FieldElement2625([ 42782475, 15950225, 35307649, 18961608, 55446126, 28463506, 1573891, 30928545, 2198789, 17749813, ]), xy2d: FieldElement2625([ 64009494, 10324966, 64867251, 7453182, 61661885, 30818928, 53296841, 17317989, 34647629, 21263748, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 17735022, 27114469, 76149336, 40765111, 43325570, 26153544, 26948151, 45905235, 38656900, 62179684, ]), y_minus_x: FieldElement2625([ 2154119, 14782993, 28737794, 11906199, 36205504, 26488101, 19338132, 16910143, 50209922, 29794297, ]), xy2d: FieldElement2625([ 29935700, 6336041, 20999566, 30405369, 13628497, 24612108, 61639745, 22359641, 56973806, 18684690, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 29792811, 31379227, 113441390, 20675662, 58452680, 54138549, 42892249, 32958636, 31674345, 24275271, ]), y_minus_x: FieldElement2625([ 7606599, 22131225, 17376912, 15235046, 32822971, 7512882, 30227203, 14344178, 9952094, 8804749, ]), xy2d: FieldElement2625([ 32575079, 3961822, 36404898, 17773250, 67073898, 1319543, 30641032, 7823672, 63309858, 18878784, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 77823924, 52933642, 26572931, 18690221, 109143683, 23989794, 79129572, 53326100, 38888709, 55889506, ]), y_minus_x: FieldElement2625([ 37146997, 554126, 63326061, 20925660, 49205290, 8620615, 53375504, 25938867, 8752612, 31225894, ]), xy2d: FieldElement2625([ 4529887, 12416158, 60388162, 30157900, 15427957, 27628808, 61150927, 12724463, 23658330, 23690055, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 102043267, 54823614, 45810225, 19657305, 54297192, 7413280, 66851983, 39718512, 25005048, 18002658, ]), y_minus_x: FieldElement2625([ 5403481, 24654166, 61855580, 13522652, 14989680, 1879017, 43913069, 25724172, 20315901, 421248, ]), xy2d: FieldElement2625([ 34818947, 1705239, 25347020, 7938434, 51632025, 1720023, 54809726, 32655885, 64907986, 5517607, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 88543525, 16557377, 80359887, 30047148, 91602876, 27723948, 62710290, 52707861, 7715736, 61648232, ]), y_minus_x: FieldElement2625([ 14461032, 6393639, 22681353, 14533514, 52493587, 3544717, 57780998, 24657863, 59891807, 31628125, ]), xy2d: FieldElement2625([ 60864886, 31199953, 18524951, 11247802, 43517645, 21165456, 26204394, 27268421, 63221077, 29979135, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 97491378, 10077555, 94805128, 42472719, 30231379, 17961119, 76201413, 41182329, 41405214, 31798052, ]), y_minus_x: FieldElement2625([ 13670592, 720327, 7131696, 19360499, 66651570, 16947532, 3061924, 22871019, 39814495, 20141336, ]), xy2d: FieldElement2625([ 44847187, 28379568, 38472030, 23697331, 49441718, 3215393, 1669253, 30451034, 62323912, 29368533, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 74923758, 35244493, 27222384, 30715870, 48444195, 28125622, 116052444, 32330148, 92609232, 35372537, ]), y_minus_x: FieldElement2625([ 39340596, 15199968, 52787715, 18781603, 18787729, 5464578, 11652644, 8722118, 57056621, 5153960, ]), xy2d: FieldElement2625([ 5733861, 14534448, 59480402, 15892910, 30737296, 188529, 491756, 17646733, 33071791, 15771063, ]), }, AffineNielsPoint { y_plus_x: FieldElement2625([ 85239571, 21331573, 119690709, 30172286, 44350959, 55826224, 68258766, 16209406, 20222151, 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