config

Documentation

Index

• Variables
• type Curve
  • func (c Curve) Equal(other Curve) bool
• type Field
• type FieldDependency
• type FieldElementToCurvePoint
• type HashSuite
• type HashSuiteInfo
• type HashSuiteSswu
  • func (suite *HashSuiteSswu) GetInfo(baseField *field.FieldConfig, g *Point, name string) HashSuiteInfo
• type HashSuiteSvdw
  • func (parameters *HashSuiteSvdw) GetInfo(baseField *field.FieldConfig, g *Point, name string) HashSuiteInfo
• type Isogeny
• type IsogenyInfo
• type Point
• type RationalPolynomial
• type RationalPolynomialInfo
• type TwistedEdwardsCurve

Variables

var BLS12_377 = Curve{
	Name:         "bls12-377",
	CurvePackage: "bls12377",
	EnumID:       "BLS12_377",
	FrModulus:    "8444461749428370424248824938781546531375899335154063827935233455917409239041",
	FpModulus:    "258664426012969094010652733694893533536393512754914660539884262666720468348340822774968888139573360124440321458177",
	G1: Point{
		CoordType:        "fp.Element",
		CoordExtDegree:   1,
		PointName:        "g1",
		GLV:              true,
		CofactorCleaning: true,
		CRange:           defaultCRange(),
	},
	G2: Point{
		CoordType:        "fptower.E2",
		CoordExtDegree:   2,
		CoordExtRoot:     -5,
		PointName:        "g2",
		GLV:              true,
		CofactorCleaning: true,
		CRange:           defaultCRange(),
		Projective:       true,
	},

	HashE1: &HashSuiteSswu{
		A: []string{"0x1ae3a4617c510ea34b3c4687866d1616212919cefb9b37e860f40fde03873fc0a0bf847bffffff8b9857ffffffffff2"},
		B: []string{"0x16"},
		Z: []int{5},
		Isogeny: &Isogeny{
			XMap: RationalPolynomial{
				Num: [][]string{
					{"0x142abb491d3ccb00d65810beba93dbb0a661fd85974d6aa82c4bb2e1a3c84ffdd6ef419b80000000000000000000000"},
					{"0x4d9d782ee8a7b7630cd57be9a2ca555e2f689a3cb86f60022910be6480000004284600000000001"},
					{"0x142abb491d3ccb014ac44505178f6ec539a237640b7ceab573689a3cb86f600114885f32400000063c6900000000001"},
				},
				Den: [][]string{
					{"0x13675e0bba29edd8c3355efa68b295578bda268f2e1bd8008a442f99200000010a11800000000004"},
				},
			},
			YMap: RationalPolynomial{
				Num: [][]string{
					{"0x142abb491d3ccb014ac44505178f6ec539a237640b7ceab573689a3cb86f600114885f32400000063c68fffffffffff"},
					{"0x35c748c2f8a21d6af848e30c1b78229a46644922460e73f6faf06c327b438084815848140000010a11800000000002"},
					{"0xd71d230be288756a6446249c205dced645709767bd81c863eb7f8d8e4f15003f5f407b84000000a64af00000000002"},
					{"0x17872fd54cc6ecd6d73a5085f0d2013b6de7eb4a0d6711d3b14f5e9c2c81f001429f19baa0000007467a80000000001"},
				},
				Den: [][]string{
					{"0x1ae3a4617c510eac63b05c06ca1493b1a22d9f300f5138f1ef3622fba094800170b5d44300000008508bffffffffff9"},
					{"0x746c34465cfb9314934039de742f800d471ce75b14a710033d991d96c00000063c6900000000000c"},
					{"0x3a361a232e7dc98a49a01cef3a17c006a38e73ad8a5388019ecc8ecb600000031e3480000000000c"},
				},
			},
		},
	},

	HashE2: &HashSuiteSswu{
		A: []string{"0x152964189f4c623685ae0423eb10294ce6458c064f093208504005b37d04d5d336dc9d66a97093f84d62e778f8c82be", "0x735c455387ab435839e5a5dbc1a30510070300f4becac797642fe56985064e95f7d6521a1a6e71004047f835c1f957"},
		B: []string{"0x19e38372e0d4bf401d2fa5f2261e1e3fc95d51a3857fc23b1385d51ea9c973a89c22148a93dff96447700bf1c3aebac", "0x1579ddb5c1c595b7c08c3a3cef5626143c25757c6b67d0a2677b22fc0c890d8b2b1a17895d047a98c49047069f725"},
		Z: []int{12, 1},
		Isogeny: &Isogeny{
			XMap: RationalPolynomial{
				Num: [][]string{
					{"0x113b0abb7ba48832ffb7aaaa7ce085078312d4bf0bf8882e8f4a0a6e24d91b535b6c81277ad9369cacc733de5cf86d9",
						"0x11e62d211119d8108bbf13b3b4b79a1aabbe2d6004858109139667b300e5097370015d42782ca1bf7652dba1d4cac3c"},
					{"0x51a19546efd3c582ec16ee049bafb8ccbdd87d98f753e654e0b93ae62a627a6f610b30f76016baa8d18dc4677dc401",
						"0xddc3aac50aa5af86f8c1d31db787f4b6ac0262a8ea40c07d61389c2a70b06c51fb59520394e05c55c72e363b9607a1"},
					{"0x93198927f09c55a596756ab909a06ab3c0127be6538fb275f2b7b5bfaa1ab85b12a45ef345d628d5c6e69effd7e76a",
						"0x2c02fb38b1440c7b2d4fae061763cd734c40b1eddf1ca9552554d2859906f8d6290038a485a655f8178f99b1fe43e1"},
					{"0x19091208a40d61bd9a55359da28b532617da69a58addac35288930ccd5083166d791cc7dd3c6533e01f786000c532f7",
						"0xcf913d369130273a81f982f469bc8fd98a8983af247d28845d76729468a777836e1d3cdf1e1adea6b08566db5b514f"},
					{"0x181a36b975099a83b4773c6e62d93365d5fd3787c2b62d0a315245f6226ab13cd462f731b73a436a598b34dc0ec58d0",
						"0xdeebd58f0234fa272439c69d9f0ed559b955d416256645c2ab1857d988b49109ff460206e2b978d877fc9274fe4840"},
					{"0x10cd4f85b581fa9bbd614f001a2e64839a4635373187b57373f17f77e11ea30ce505e6ebab860ee2aa46c9e6b327add",
						"0xc1f11111a68f3346dfeb807985c61491498efd3439c5c7a0b77e9d819a48be950e43c9f30cd21e5e439815a2ab6a9a"},
					{"0x1813ccf2b39896b88561d57592c5e7d7594146f9eb341852cdbc192e88792058059bd79b248c5b8c415d6149d51130a",
						"0xeb958c5ed40e2b75a170536e42368207df82fcc26518f6f83f40cea65efdd81dcc248290c660107e0a2d650a38d526"},
					{"0xa143ff2d94ba2d2322d63cb3769874b17c00fe76fff4b53fb5fa4744da3114899adaca240bde7d88357aa80b144bb1",
						"0xa25054cd91b2b06cdad439cdf86265929d35738f09e759a56164861f45586602c630ef182e9262f0413374b154dd20"},
					{"0x1f0a897c94b01589c9eb5cdd999c580c284f39c6fa6f2ad0c569c3b219cc245484ed7310b858f980b2917508d94f59",
						"0x5c56eb37beca858c993f39fbf09b73efbd98934b5b1d8de0c21fc75d20075e6d7720601832565b1823339bffc17a6d"},
					{"0x13a21ac110c90240e49de23070e86bcb64b8c500d8f9d792095a0a7f9133f4d8d94c518f9eb1359c8c82926e41d004c",
						"0x18471a982b5d8d7756ff4971fbba3945be37cea5cda74e17674b76cbf527f8ae51a27236a95d815a4f36a2461df5b67"},
					{"0x380e386dce2ad72755e1d21461a3d33ce275b036c2a11a755df7e948161f3318531311b8dfaad26a2b6af699e42f07",
						"0xc86f279fd500d0594160f87a462ff89f4b0db7b7fe6bc809871f11183f13235d343e0a8bae13c9f5791a2821ce8bf"},
					{"0xd73c34c8f904e327cd1fc22e8a90e04bed13e46eb98e3d47d18cde142b9e0f3a03eaac69214acac03042aa9b9b6495",
						"0x76ea3cf6b7185d7d6e3e73ac03a21b645e5aaee7a99dccecc485620fdf64e7486c7b1e4f8b6e069240b7a1e76b0609"},
					{"0xca983f9f6ea728c5b4bb9a6dc72d24ecab7833e1a8242bf1a84140deb996176a8f7c7d6fe34fdb4660afd6dfa5fd74",
						"0x7e4badbdba86487f1b87daccf8d14f62bcb01bca058d8e318ad40ae8343a47d40f6b18af1e0bf9860eeb32db4f02aa"},
					{"0x1552beaa2371b711181b528b4ea3e801e3a71c2bc0bde70a2babef6d5702ff12af4f5f2823599093d5485b94c873d36",
						"0x11783b91dc5ce3d03283278116bb901408dc61ef8bad40991144de2f3509787d83b566820fd315b558ccd76c9debd5d"},
					{"0x175374ccff26ce81965dce12856efd5cb587251e70a588e2e4633110d65bf17f2991df664e727ebc65b42d74a938e4b",
						"0xe75b2e26120b6428e51285251602a89ca9f865d444853ac3527b940d7b218df89806e725ec52e75b92dfcf63616483"},
					{"0xecfa3729a48226a477e72d4067aa372a29fa8943324495f2f39f754bd1d114fc2d9c62453fde06e3272bf09faea06f",
						"0xe95c673c49bda6dacee18f07327cee3902582326fbe658d3e8cb15b40327b8b7c1b04e0160071f1e8c617361754705"},
					{"0x155dd556a15b55b766cc98f3455788f3ca450ac5c613b2e1464b53f0e5412a626e423cf9dd5127edaa6deeaa5638f93",
						"0x15ac434170f220d28273b44c48eca01f2cfaae20e2342429ca6f3668e0825821a3d7f1227db23b1a7a36e7f8abf89e"},
					{"0xe785dde291472723e95d737c7bc0bb72a8125cfbd91b122beedd3f45dedefc1480e9350bbfb6a5ca2fb9ec905573fa",
						"0xe01e2c8ab4ddf439c8d4028ccc68b13de8099e3aa7d5120867366605682a4db4ec308cf07e043cf7256e35c23ecbc7"},
					{"0x4e2c05f403fa31d03e91053fb52a3fc12ae58977575f53cd8a52b53d1067cc61de65daada7c7c1bf5bdb07f3719b14",
						"0x18de34a92f81eba3a57d55a9d4bd5cf7da7b1794a0f9ece37abd537ddcdb29edbb01aa88baef416408d34a227874c33"},
					{"0xe4a28f5d9cdcb181099868140cf3064cd573f892aceb79e3df63546686df19a3164efedc851333bbe232be84e3e627",
						"0xd31f8027ef5f6b916364d998dbc4640196191cf0ca44e2c2c4825bf4babd706351d21f1f6177ee4c3f5d16928d059b"},
					{"0x602985c2bf7472638e59af721dc3e635d08ede15ad23084d54441a493d515ab9d727832a06110b8a5e4cdf978980d1",
						"0x159cb19fac8df89c704efce7423d8965e1477606471d21f77988cd744d0ea0938a85eb4a21d41a34c97d64a409f7314"},
					{"0x12f6020b2f6dc691f96e6a7c5e42a221a861c1b27223e30adbb75022ff42f318e8d96e0a964dfcb9dd0d20fd3a7c247",
						"0x1766ffa6c449787005d03e90251c271190a3c8e6db8383ce2925b91c87ae29c989d503705ed7566fe5c7bfefb6902c6"},
					{"0x471dda72677bf4df7027fff15bb88083362b56b41dbbeb3e3f9afed6c7fd9b8e03a7b66f7dde784cdb94ef12714ed1",
						"0xb95429ba2726547f58f812d8516a9c7545fb43d2080d1b154e4e8aaa689a378141fd28ad946cf12fef100e180c9762"},
					{"0x1ac99df3bf98db5235d2892b0f00a86db204cc8f367535d37ff878fd945bcd6f4991d08e3d7598788e2f860c950d110",
						"0x0"},
				},
				Den: [][]string{
					{"0x146e50faa64a7651c3b0b61836501a66805927dcb051b32662d0d261c3b5458776918917726e7ab20050fb3f1e9d32c",
						"0xb1ea777f7008d8bcafa4799bac2e33475d6b287b6c831af5c06bb778507412d8aa8d347a14ea074b7983518d668616"},
					{"0x79f0dba8c34b89c8d1fd2363421e1f97f7f12579ab42f520b86c9e7b44e822fadf62f6e98bfebed3065ef7e6d873e2",
						"0x40dd9ff7e21f5f6802ef1e47c240880f84fbe0232f659145f22f9c842736890572e9a0018ff427005b45140ad2597d"},
					{"0xde82c1e45e55039d5d8ae4684e278f230e94285b4bc97eae01f84acf258e9be8888a96dd0fdccde825922ec5517ec5",
						"0x101b161db02dadd38c1b219d253f01728d2b3ba65e3dc05ebf102ff9fab2f2ef1cc95047570148228b4915820b0301d"},
					{"0x19c6b7b7a90b244a9cc8e9cf77c1fc40ffeae17efe57efaad45c6b85105effe955b8aec25cd5a33b5fe1b403099cc87",
						"0x1658235a28d3dcd62a783eb6e135a65f19ee1ded96bf717f26fb9e81763b6d1d0d32ef686998776504a5c6426ba2ddc"},
					{"0x1374e714d24649d3de48ea7e809ed20ba8de79a7a95b59e26babe22856e57c5f9e6667da8107e27b1215afe2846471",
						"0x9fa434f0a714ff9b2bb5ea51856efce45659377666fe4377774d04ca63a1ae957c5cc11376defad113c94ae6ce4652"},
					{"0x11796b770f7504fb0a25336ae91aca083bb600d5523a27885e44f3bedff57966411346d44cce4bbaf50770a210445b7",
						"0xa5dc732bb3f95325df484711467e89dc69a7986d2439a692fb9667c22512d87f968d452c1a7a4af94629d6fbfab126"},
					{"0x36fc8fd543e00229e3e56ca9655db01cb161ad493c35d5225acea1924f2673890b0981feb9170a2b73e1ed5852276a",
						"0x11e47853a548367d9473b4251c2641a1a05ded1721fb74dfd4455bb41894cd35ffa77ac1a1dda4171e8e3c598cc0cf"},
					{"0xec3aecb4916b2621d73c22adf37fd2bd067cfcd09f38cfa7060c1dc08573f6e6da62ae459d00c719b153b23eb30380",
						"0x33b7e5c5174d637291e17246bd01864eaf2b12d27ab74b84e029ed82c9cf3551faa44b79bdbb079a9f57f598e8c35"},
					{"0x14d8b5c3fe739ff9bca51db2433814bd39a0ba8f082801125801599b81682fe51896aeed82936cfc3d7850d2f9622a3",
						"0x7adf53096d8b637caa65a6703d654842a9b7d4d82a1ebd6ae4eb4cf7df07912638d359dbfe6f8443fcae492cb150c5"},
					{"0x16e8eda7dfd1927fe1dc22dacaa78237dfa0714315f535e804649326acfe5c67a86dcbee4d78a5d662ff122b8580245",
						"0x40de374242af4c470b0952cc13dae780d77d43729e9598ba3173ac586624ebe305c8c9e6e5e7245f98a970af1ee60d"},
					{"0x16c94723b3eacaa13fef87169f4eca0959eecf2184d6a7468da9d8f32acb6a36c5254bf31d733f5b1c053dd88e54282",
						"0x19c508401f6e0cdcf9e2b694c12550eba4247c85c52b8aba5991f9aeecbefee61355271663b842b0b23c0de66bcb8f1"},
					{"0xf3ffd87f27eee739719fa368e3d9bebdb8f06a192b5ae980b629ad78421034b2f919d658fbcd1490fc7692e1e916ce",
						"0x1468f37ed6477c421170d67235b0370aa3388db7e4c0cb3dbcf1fef55b2c7cd6989451199b411d7aaf8a5b24436f6e3"},
					{"0x1035e4ec93dc6bc358f961e7dc4c82087605cbe2bfdbe713fa5e7b21d75c1ad45088bdbc6daaa2e12d1f0bcfb4b84f7",
						"0x11e842bd544d0bbee76808f0a1ba264be31aedda57ceb64330b587d5a89d03598cdb8d2b528fe56a02dbfd48e8aaa83"},
					{"0xe57bf7b799080766c07fa8b997f65da74043a005d785b60215c0875d8d80a2a55de8c81dc081ee75cafdcb6d9f5bab",
						"0x4f2c024aca0ee3f8be88ed1450ac2448d3bd8b540d7cb9b5d93d68eedc20119213d260c02c7dbaa180aa008407b0dc"},
					{"0xe0b435cad88cfd17508b5b3da274b76521f715b9129c3141f70a3c7dd22e14c3fe58a5db7c168f47c673d91a05c02f",
						"0x16ba8b632d08a5abe396f990cfc790f6d29725220c89e7dacb3be59699757c6245bc0793bfeb5b2f917508cdd949a79"},
					{"0x17c5e37674a25c3385908a02be0a23c1623eb710deb01632301277cb968ae2bccd3e5b38e144e424a9da459c4b8600a",
						"0x503556d7e47b59d5888f787cb7cec46d917d02f8118e01a63ffc3b01398260d7c722dc26c7cd03d7c05e1a996e5471"},
					{"0x890e4e58ded34996cf252dc184d7aec1c1866ad2da0b50ffc208a1ef31dd9e277b3f5e2fd1f3cf9422b81c526bbd0d",
						"0x108938787e3377815ba98065f7c57b955fb7bc2247a21fd516fcad09652e92819c4bd34cf9be483e261639e540ce577"},
					{"0x665b1acc1e271d15bf9416f014ae1ddc76838a60230be0cd17cc7505d6b5f7cb01037545fd2c3b9997b0745ad8ad9c",
						"0x1ae0fc9e185ac85323228f01780e30ba86767c59cc90d2d05ddbba8d6cf35bbd737b7fcd09b3850af513ebb6fc3ced9"},
					{"0x16db2dd779c2cc1699abf727df65339443007994b70c43a8d9767e265dfe45809093cc631ba5b79f1280236ac93fddf",
						"0x43671e62ee377b90bbd80c91a3dc1eb53ed37ea8ae6ccc0154e2f1cf498198acc92b2ce3c07e292b2b5f038c6c04c9"},
					{"0x93b2b87c160c52f6b056e4c085930add9aeb706709ee013eb54ca60bc820b0da42fbca8e9c9a579585bdb8af77acbe",
						"0xcb5381cf50932ff1dd7fed460732ae9311b24ab543d98304b80963cf706598ef147c2b047d6c2e49357f5704e568ba"},
					{"0x731b19b58014b17a0be1915dfee088ceb8ca7964deed74d985adfbe0e9aa99cac1453ae4210abf949afc9c7425f2b6",
						"0x3f906b21602c1254dc293fbddc3974f24bef13d0291760083c7a125c8ad5c49ed9ba755743e9344387d1e712d7ede2"},
					{"0xbee29453de653858b3b37cd3b85e7941177c94de27ab781cb8ea619a1b9668a0b0ddd01318b6699bc582051c23dd8a",
						"0x1793e129728346d60828550ad395de628b4f4ab2952bd0e95003c382bebd49daa486d981fb51dee163ded1fb204d09f"},
				},
			},
			YMap: RationalPolynomial{
				Num: [][]string{
					{"0x19474819a519191689e0816c7f84b2a58a6a5aaf5adfd7fb0204d8623f67c19e9a64d522ce4c963e32de8edfd367284",
						"0x100e238102de877617418a44564d9379372b6f69c721b205c60af2e298bfa546a7c7a39883e433f947601b24266a306"},
					{"0xb58b352e8f9bc6162e40b4ab27f066cb71ed844e9b5e376cdef8e8be14e38d2f13392f19da19ca1faa758bbb083dc6",
						"0x3293cacae9e6251abad8ac4d8263754f1301062d54ff721d183d201f9133db07341cd48c721d8b9ec40e41d4bd0db0"},
					{"0xdfec4d8ecb1cb0adbe13f68ccb2e070bcbf5ee3ee8328cb6613a63a543c252ef4ecb525fbf65ca12f33b425da04d5",
						"0x177fa15abb4e47ced85ae0765a6aef971131743de887073556fe92f142b83a8355edc8544530ed7296a3e21c4f9828a"},
					{"0x17bbcf8bf3802b3f868ec94dcbb32a8b0cfd5f62daa2079cf8370b487cf440c664863e710ffeafc40cf374a58263139",
						"0x16f6e49903922180e44d4bc45aeb65f093fe4fad10cf29583c3664cfbd76b9ca5b9a7ef2337a62cb2e45623cee7ced3"},
					{"0xc1fa03051d6150ed02ce658113c5b9de9232db80782740741c13e95afb61ddc78d32e0af5fa67e2df4203ea7c7f720",
						"0x1a20dfca20c821fa263e1b04009e6e0f5a373e665afe7f603f0bb9703ce6864cc9ce09aa1e2d694a16082973591eed7"},
					{"0xed3c8528803a2e8ea1d51fbc40888c93aacdbabaf485d5a8a037472849450ed254f2bf0876516c81b466d03adc0b37",
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				},
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				},
			},
		},
	},
}

var BLS12_378 = Curve{
	Name:         "bls12-378",
	CurvePackage: "bls12378",
	EnumID:       "BLS12_378",
	FrModulus:    "14883435066912132899950318861128167269793560281114003360875131245101026639873",
	FpModulus:    "605248206075306171733248481581800960739847691770924913753520744034740935903401304776283802348837311170974282940417",
	G1: Point{
		CoordType:        "fp.Element",
		CoordExtDegree:   1,
		PointName:        "g1",
		GLV:              true,
		CofactorCleaning: true,
		CRange:           defaultCRange(),
	},
	G2: Point{
		CoordType:        "fptower.E2",
		CoordExtDegree:   2,
		PointName:        "g2",
		GLV:              true,
		CofactorCleaning: true,
		CRange:           defaultCRange(),
		Projective:       true,
	},

	HashE1: &HashSuiteSswu{
		A: []string{"0x3eeb0416684d18f2c41f0ac56b4172c97877b1f2170ca6f42387dd67a2cc5c175e179b1a06ffff79e0723fffffffff2"},
		B: []string{"0x16"},
		Z: []int{11},
		Isogeny: &Isogeny{
			XMap: RationalPolynomial{
				Num: [][]string{
					{"0x2f304310ce39d2c3011a6d50eb4ece730cab541269dbc53c7594241b1c244eff01c0ce03cbe00000000000000000000"},
					{"0x9d9ea03fd9a908c76d1012fb4743eb0c720b5849c7b761ff1e3f31fc34200004ca4510000000001"},
					{"0x2f304310ce39d2c3ed885db0b1cc5b9e3043708b54c1a5cf20a52889c7b761fdaf1f98fe1a1000072f6798000000001"},
				},
				Den: [][]string{
					{"0x2767a80ff66a4231db4404bed1d0fac31c82d61271edd87fc78fcc7f0d0800013291440000000004"},
				},
			},
			YMap: RationalPolynomial{
				Num: [][]string{
					{"0x2f304310ce39d2c3ed885db0b1cc5b9e3043708b54c1a5cf20a52889c7b761fdaf1f98fe1a1000072f6797fffffffff"},
					{"0x7dd6082cd09a322f6a993378ddbf030e107849ad95ef7bbdbc611d64e38ea7c4e9cea46c7d00013291440000000002"},
					{"0x1f75820b34268c838ac8d9803d05ca3f43c5122b2366f9c76b7f1f7530b7fefd221e864e5f90000bf9aca8000000002"},
					{"0x370da3939b4375e4951f17f8cf6e6ae3384eadf7e2e1ec1c50c0af4b69009cfd4c4f87d31e68000861f8dc000000001"},
				},
				Den: [][]string{
					{"0x3eeb0416684d19053cb5d240ed107a284059eb647102326980dc360d0a49d7fce97f76a822c00009948a1fffffffff9"},
					{"0xec6df05fc67d8d2b23981c78eae5e092ab11046eab9312fead5ecafa4e3000072f6798000000000c"},
					{"0x7636f82fe33ec69591cc0e3c7572f0495588823755c9897f56af657d2718000397b3cc000000000c"},
				},
			},
		},
	},
}

var BLS12_381 = Curve{
	Name:         "bls12-381",
	CurvePackage: "bls12381",
	EnumID:       "BLS12_381",
	FrModulus:    "52435875175126190479447740508185965837690552500527637822603658699938581184513",
	FpModulus:    "4002409555221667393417789825735904156556882819939007885332058136124031650490837864442687629129015664037894272559787",
	G1: Point{
		CoordType:        "fp.Element",
		CoordExtDegree:   1,
		PointName:        "g1",
		GLV:              true,
		CofactorCleaning: true,
		CRange:           defaultCRange(),
	},
	G2: Point{
		CoordType:        "fptower.E2",
		CoordExtDegree:   2,
		CoordExtRoot:     -1,
		PointName:        "g2",
		GLV:              true,
		CofactorCleaning: true,
		CRange:           defaultCRange(),
		Projective:       true,
	},

	HashE1: &HashSuiteSswu{
		A: []string{"0x144698a3b8e9433d693a02c96d4982b0ea985383ee66a8d8e8981aefd881ac98936f8da0e0f97f5cf428082d584c1d"},
		B: []string{"0x12e2908d11688030018b12e8753eee3b2016c1f0f24f4070a0b9c14fcef35ef55a23215a316ceaa5d1cc48e98e172be0"},
		Z: []int{11},
		Isogeny: &Isogeny{
			XMap: RationalPolynomial{
				Num: [][]string{
					{"0x11a05f2b1e833340b809101dd99815856b303e88a2d7005ff2627b56cdb4e2c85610c2d5f2e62d6eaeac1662734649b7"},
					{"0x17294ed3e943ab2f0588bab22147a81c7c17e75b2f6a8417f565e33c70d1e86b4838f2a6f318c356e834eef1b3cb83bb"},
					{"0xd54005db97678ec1d1048c5d10a9a1bce032473295983e56878e501ec68e25c958c3e3d2a09729fe0179f9dac9edcb0"},
					{"0x1778e7166fcc6db74e0609d307e55412d7f5e4656a8dbf25f1b33289f1b330835336e25ce3107193c5b388641d9b6861"},
					{"0xe99726a3199f4436642b4b3e4118e5499db995a1257fb3f086eeb65982fac18985a286f301e77c451154ce9ac8895d9"},
					{"0x1630c3250d7313ff01d1201bf7a74ab5db3cb17dd952799b9ed3ab9097e68f90a0870d2dcae73d19cd13c1c66f652983"},
					{"0xd6ed6553fe44d296a3726c38ae652bfb11586264f0f8ce19008e218f9c86b2a8da25128c1052ecaddd7f225a139ed84"},
					{"0x17b81e7701abdbe2e8743884d1117e53356de5ab275b4db1a682c62ef0f2753339b7c8f8c8f475af9ccb5618e3f0c88e"},
					{"0x80d3cf1f9a78fc47b90b33563be990dc43b756ce79f5574a2c596c928c5d1de4fa295f296b74e956d71986a8497e317"},
					{"0x169b1f8e1bcfa7c42e0c37515d138f22dd2ecb803a0c5c99676314baf4bb1b7fa3190b2edc0327797f241067be390c9e"},
					{"0x10321da079ce07e272d8ec09d2565b0dfa7dccdde6787f96d50af36003b14866f69b771f8c285decca67df3f1605fb7b"},
					{"0x6e08c248e260e70bd1e962381edee3d31d79d7e22c837bc23c0bf1bc24c6b68c24b1b80b64d391fa9c8ba2e8ba2d229"},
				},
				Den: [][]string{
					{"0x8ca8d548cff19ae18b2e62f4bd3fa6f01d5ef4ba35b48ba9c9588617fc8ac62b558d681be343df8993cf9fa40d21b1c"},
					{"0x12561a5deb559c4348b4711298e536367041e8ca0cf0800c0126c2588c48bf5713daa8846cb026e9e5c8276ec82b3bff"},
					{"0xb2962fe57a3225e8137e629bff2991f6f89416f5a718cd1fca64e00b11aceacd6a3d0967c94fedcfcc239ba5cb83e19"},
					{"0x3425581a58ae2fec83aafef7c40eb545b08243f16b1655154cca8abc28d6fd04976d5243eecf5c4130de8938dc62cd8"},
					{"0x13a8e162022914a80a6f1d5f43e7a07dffdfc759a12062bb8d6b44e833b306da9bd29ba81f35781d539d395b3532a21e"},
					{"0xe7355f8e4e667b955390f7f0506c6e9395735e9ce9cad4d0a43bcef24b8982f7400d24bc4228f11c02df9a29f6304a5"},
					{"0x772caacf16936190f3e0c63e0596721570f5799af53a1894e2e073062aede9cea73b3538f0de06cec2574496ee84a3a"},
					{"0x14a7ac2a9d64a8b230b3f5b074cf01996e7f63c21bca68a81996e1cdf9822c580fa5b9489d11e2d311f7d99bbdcc5a5e"},
					{"0xa10ecf6ada54f825e920b3dafc7a3cce07f8d1d7161366b74100da67f39883503826692abba43704776ec3a79a1d641"},
					{"0x95fc13ab9e92ad4476d6e3eb3a56680f682b4ee96f7d03776df533978f31c1593174e4b4b7865002d6384d168ecdd0a"},
				},
			},
			YMap: RationalPolynomial{
				Num: [][]string{
					{"0x90d97c81ba24ee0259d1f094980dcfa11ad138e48a869522b52af6c956543d3cd0c7aee9b3ba3c2be9845719707bb33"},
					{"0x134996a104ee5811d51036d776fb46831223e96c254f383d0f906343eb67ad34d6c56711962fa8bfe097e75a2e41c696"},
					{"0xcc786baa966e66f4a384c86a3b49942552e2d658a31ce2c344be4b91400da7d26d521628b00523b8dfe240c72de1f6"},
					{"0x1f86376e8981c217898751ad8746757d42aa7b90eeb791c09e4a3ec03251cf9de405aba9ec61deca6355c77b0e5f4cb"},
					{"0x8cc03fdefe0ff135caf4fe2a21529c4195536fbe3ce50b879833fd221351adc2ee7f8dc099040a841b6daecf2e8fedb"},
					{"0x16603fca40634b6a2211e11db8f0a6a074a7d0d4afadb7bd76505c3d3ad5544e203f6326c95a807299b23ab13633a5f0"},
					{"0x4ab0b9bcfac1bbcb2c977d027796b3ce75bb8ca2be184cb5231413c4d634f3747a87ac2460f415ec961f8855fe9d6f2"},
					{"0x987c8d5333ab86fde9926bd2ca6c674170a05bfe3bdd81ffd038da6c26c842642f64550fedfe935a15e4ca31870fb29"},
					{"0x9fc4018bd96684be88c9e221e4da1bb8f3abd16679dc26c1e8b6e6a1f20cabe69d65201c78607a360370e577bdba587"},
					{"0xe1bba7a1186bdb5223abde7ada14a23c42a0ca7915af6fe06985e7ed1e4d43b9b3f7055dd4eba6f2bafaaebca731c30"},
					{"0x19713e47937cd1be0dfd0b8f1d43fb93cd2fcbcb6caf493fd1183e416389e61031bf3a5cce3fbafce813711ad011c132"},
					{"0x18b46a908f36f6deb918c143fed2edcc523559b8aaf0c2462e6bfe7f911f643249d9cdf41b44d606ce07c8a4d0074d8e"},
					{"0xb182cac101b9399d155096004f53f447aa7b12a3426b08ec02710e807b4633f06c851c1919211f20d4c04f00b971ef8"},
					{"0x245a394ad1eca9b72fc00ae7be315dc757b3b080d4c158013e6632d3c40659cc6cf90ad1c232a6442d9d3f5db980133"},
					{"0x5c129645e44cf1102a159f748c4a3fc5e673d81d7e86568d9ab0f5d396a7ce46ba1049b6579afb7866b1e715475224b"},
					{"0x15e6be4e990f03ce4ea50b3b42df2eb5cb181d8f84965a3957add4fa95af01b2b665027efec01c7704b456be69c8b604"},
				},
				Den: [][]string{
					{"0x16112c4c3a9c98b252181140fad0eae9601a6de578980be6eec3232b5be72e7a07f3688ef60c206d01479253b03663c1"},
					{"0x1962d75c2381201e1a0cbd6c43c348b885c84ff731c4d59ca4a10356f453e01f78a4260763529e3532f6102c2e49a03d"},
					{"0x58df3306640da276faaae7d6e8eb15778c4855551ae7f310c35a5dd279cd2eca6757cd636f96f891e2538b53dbf67f2"},
					{"0x16b7d288798e5395f20d23bf89edb4d1d115c5dbddbcd30e123da489e726af41727364f2c28297ada8d26d98445f5416"},
					{"0xbe0e079545f43e4b00cc912f8228ddcc6d19c9f0f69bbb0542eda0fc9dec916a20b15dc0fd2ededda39142311a5001d"},
					{"0x8d9e5297186db2d9fb266eaac783182b70152c65550d881c5ecd87b6f0f5a6449f38db9dfa9cce202c6477faaf9b7ac"},
					{"0x166007c08a99db2fc3ba8734ace9824b5eecfdfa8d0cf8ef5dd365bc400a0051d5fa9c01a58b1fb93d1a1399126a775c"},
					{"0x16a3ef08be3ea7ea03bcddfabba6ff6ee5a4375efa1f4fd7feb34fd206357132b920f5b00801dee460ee415a15812ed9"},
					{"0x1866c8ed336c61231a1be54fd1d74cc4f9fb0ce4c6af5920abc5750c4bf39b4852cfe2f7bb9248836b233d9d55535d4a"},
					{"0x167a55cda70a6e1cea820597d94a84903216f763e13d87bb5308592e7ea7d4fbc7385ea3d529b35e346ef48bb8913f55"},
					{"0x4d2f259eea405bd48f010a01ad2911d9c6dd039bb61a6290e591b36e636a5c871a5c29f4f83060400f8b49cba8f6aa8"},
					{"0xaccbb67481d033ff5852c1e48c50c477f94ff8aefce42d28c0f9a88cea7913516f968986f7ebbea9684b529e2561092"},
					{"0xad6b9514c767fe3c3613144b45f1496543346d98adf02267d5ceef9a00d9b8693000763e3b90ac11e99b138573345cc"},
					{"0x2660400eb2e4f3b628bdd0d53cd76f2bf565b94e72927c1cb748df27942480e420517bd8714cc80d1fadc1326ed06f7"},
					{"0xe0fa1d816ddc03e6b24255e0d7819c171c40f65e273b853324efcd6356caa205ca2f570f13497804415473a1d634b8f"},
				},
			},
		},
	},

	HashE2: &HashSuiteSswu{
		A: []string{"0", "240"},
		B: []string{"1012", "1012"},
		Z: []int{-2, -1},
		Isogeny: &Isogeny{
			XMap: RationalPolynomial{
				Num: [][]string{
					{"0x5c759507e8e333ebb5b7a9a47d7ed8532c52d39fd3a042a88b58423c50ae15d5c2638e343d9c71c6238aaaaaaaa97d6", "0x5c759507e8e333ebb5b7a9a47d7ed8532c52d39fd3a042a88b58423c50ae15d5c2638e343d9c71c6238aaaaaaaa97d6"},
					{"0x0", "0x11560bf17baa99bc32126fced787c88f984f87adf7ae0c7f9a208c6b4f20a4181472aaa9cb8d555526a9ffffffffc71a"},
					{"0x11560bf17baa99bc32126fced787c88f984f87adf7ae0c7f9a208c6b4f20a4181472aaa9cb8d555526a9ffffffffc71e", "0x8ab05f8bdd54cde190937e76bc3e447cc27c3d6fbd7063fcd104635a790520c0a395554e5c6aaaa9354ffffffffe38d"},
					{"0x171d6541fa38ccfaed6dea691f5fb614cb14b4e7f4e810aa22d6108f142b85757098e38d0f671c7188e2aaaaaaaa5ed1", "0x0"},
				},
				Den: [][]string{
					{"0x0", "0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaa63"},
					{"0xc", "0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaa9f"},
				},
			},
			YMap: RationalPolynomial{
				Num: [][]string{
					{"0x1530477c7ab4113b59a4c18b076d11930f7da5d4a07f649bf54439d87d27e500fc8c25ebf8c92f6812cfc71c71c6d706", "0x1530477c7ab4113b59a4c18b076d11930f7da5d4a07f649bf54439d87d27e500fc8c25ebf8c92f6812cfc71c71c6d706"},
					{"0x0", "0x5c759507e8e333ebb5b7a9a47d7ed8532c52d39fd3a042a88b58423c50ae15d5c2638e343d9c71c6238aaaaaaaa97be"},
					{"0x11560bf17baa99bc32126fced787c88f984f87adf7ae0c7f9a208c6b4f20a4181472aaa9cb8d555526a9ffffffffc71c", "0x8ab05f8bdd54cde190937e76bc3e447cc27c3d6fbd7063fcd104635a790520c0a395554e5c6aaaa9354ffffffffe38f"},
					{"0x124c9ad43b6cf79bfbf7043de3811ad0761b0f37a1e26286b0e977c69aa274524e79097a56dc4bd9e1b371c71c718b10", "0x0"},
				},
				Den: [][]string{
					{"0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffa8fb", "0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffa8fb"},
					{"0x0", "0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffa9d3"},
					{"0x12", "0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaa99"},
				},
			},
		},
	},
}

var BLS24_315 = Curve{
	Name:         "bls24-315",
	CurvePackage: "bls24315",
	EnumID:       "BLS24_315",
	FrModulus:    "11502027791375260645628074404575422495959608200132055716665986169834464870401",
	FpModulus:    "39705142709513438335025689890408969744933502416914749335064285505637884093126342347073617133569",
	G1: Point{
		CoordType:        "fp.Element",
		CoordExtDegree:   1,
		PointName:        "g1",
		GLV:              true,
		CofactorCleaning: true,
		CRange:           defaultCRange(),
	},
	G2: Point{
		CoordType:        "fptower.E4",
		CoordExtDegree:   4,
		PointName:        "g2",
		GLV:              true,
		CofactorCleaning: true,
		CRange:           defaultCRange(),
		Projective:       true,
	},

	HashE1: &HashSuiteSswu{
		A: []string{"0x4c23a0197b9ca68541a4cef14af4cfe81cc324cac5626d9ff4ee66df9ea2678877910f40300001f"},
		B: []string{"0x16"},
		Z: []int{13},
		Isogeny: &Isogeny{
			XMap: RationalPolynomial{
				Num: [][]string{
					{"0x2611d014c792a8ffd30982483b3ee757787d35c9e880e096a850c8e24edf5c71f880eff103c0002"},
					{"0x2611d01644a40e35d2dad31956fafeee9f1a0831db5b7b49ac10c81d6ff9afd483bf88000000000"},
					{"0x391ab82082520bc9ef97728ef1d4703e7115c13f9db942831972c63be0e6bc1d3ee023f70240001"},
				},
				Den: [][]string{
					{"0x261b56ebccc821ae82c6025bea42e1d731e2a911e6c66652b682a1f0411fdc017f9ffffe"},
				},
			},
			YMap: RationalPolynomial{
				Num: [][]string{
					{"0x391ab82082520bc9ef97728ef1d4703e7115c13f9db942831972c63be0e6bc1d3ee023f7023ffff"},
					{"0x391ab822bdec239aef516bc89b6e93a12b00fcdb8a012a8f9f12c514928e39310fbe080d7c9fffd"},
					{"0x391ab82166f61550bc483ca602787e65eea70c4ac90938ee82192c2c27f687bec59f4c000000000"},
					{"0x429f2c25ed5fb86b978605a6c4cd2d9e2e996174e2ad78439db091f0866286221eb029f582a0001"},
				},
				Den: [][]string{
					{"0x4c23a02b586d650d3f7498be97c5eafdec1d01aa27a1ae0421ee5da52bde5026fe802ff402ffff9"},
					{"0xe4a40986ccb0ca1710a40e277d914b0b2b4ff66b68a665f0470fcba186bf2808fdbfffe8"},
					{"0x725204c36658650b88520713bec8a58595a7fb35b45332f82387e5d0c35f94047edffffa"},
				},
			},
		},
	},
}

var BLS24_317 = Curve{
	Name:         "bls24-317",
	CurvePackage: "bls24317",
	EnumID:       "BLS24_317",
	FrModulus:    "30869589236456844204538189757527902584594726589286811523515204428962673459201",
	FpModulus:    "136393071104295911515099765908274057061945112121419593977210139303905973197232025618026156731051",
	G1: Point{
		CoordType:        "fp.Element",
		CoordExtDegree:   1,
		PointName:        "g1",
		GLV:              true,
		CofactorCleaning: true,
		CRange:           defaultCRange(),
	},
	G2: Point{
		CoordType:        "fptower.E4",
		CoordExtDegree:   4,
		PointName:        "g2",
		GLV:              true,
		CofactorCleaning: true,
		CRange:           defaultCRange(),
		Projective:       true,
	},

	HashE1: &HashSuiteSswu{
		A: []string{"0x8e4edadd82ff003e6762cff9b559b8cd0f3f6c9311276a6d560dcce30e697a982e1866e3e7c28d5"},
		B: []string{"0x2064f87ea0196ecbb9b075804c613d4776224e78064823a8568e30f5ad5af3bb70ee17723af3a0d"},
		Z: []int{8},
		Isogeny: &Isogeny{
			XMap: RationalPolynomial{
				Num: [][]string{
					{"0x236b5fd9cca05871bd84a4837633e369779c83cdd8e57f5e6c225b947983cf102a89412ca193804"},
					{"0xbd5fdd72856b15e73452512781cb8a44afc43fd20722b37bf41b260fcb6b2a53697eaaf34dd4055"},
					{"0xe48ccd9c11799e37b9f9713ad4c23c792bfe9cce20bb64b953983bb7789d7a5d28b1cfdd29c6212"},
					{"0x3c02ee7a69adc553341746545c583c06a0d844f638330a35305f5e8e312457c0ab57bc2702dc270"},
					{"0xc836be99bb812fca77c672366482945f54dd793103efb9504eb992da7132416060b75c14fb7999e"},
					{"0xfb165e39e1f3c02308a056717044d039ad1a5aa191127f2160837936541ff83badd4b3430f63d71"},
				},
				Den: [][]string{
					{"0xac526aaa4ccfab9e20d1af55e1b46e59df4ccdf5efa58766d0c18ac6326551818ee9e90fa19a875"},
					{"0xd8ed9eb76dc3ca65e3c54629ff1dbc57619627e2efb082c3f4601ec65d293de69e57eb95404a6b1"},
					{"0x6fc49fca38657cde5fab7a027bf50b888cb23b6952698615ff744257a41fa35df7f708c34184a19"},
					{"0x23e8941f0cfac565a7a6787558193984724c940bb5db04b86f4a98572244fc21a180f77d539d5bd"},
				},
			},
			YMap: RationalPolynomial{
				Num: [][]string{
					{"0xff4f99c01dfcb3892a91fa883b348828de9460cb96389fb35ffb06434cdeef1ce46b03c5dd5d0f7"},
					{"0x81224ed3f6692419ae30d702d3eda4710053bdbae2d49fe1f4ae22ca850ba727e1ccf7e5701c164"},
					{"0x45054affadf894503d5833cfd9dbad5eb905a527a12b5e7dcabd0052793f9b49e64e957dd42da4"},
					{"0x18eeec003ff866c9fb04c7371fc3383d385a2be91d8a0433f6974c71a0ce405f122c83719f1393e"},
					{"0x31dd068a643f47a6596e317e958886ea2ac504968e1c5cf09c8d5776c6643ef4de74fbdd8c4a619"},
					{"0x2c8e3ae176f645fc860fce8de1b13b50c4000167d09963c6e1a9c672f88f4f8d0503c022726fc95"},
					{"0x9f05a21397a2e89eb8a9d058e93ca60265193966535883b745a89991576994ae547e2d441247c3f"},
				},
				Den: [][]string{
					{"0xd3e018c50c3942dd4d09a4ab202a25696610ba38204d026ecdaf526c2f6f7087e577ad578cd63a4"},
					{"0x8287e2ff37ee6fdebecdbb7847a885def88d0241d5cff2567cb4bc388b67da5687eb6031701f843"},
					{"0x59d82ad3a832a32188e27cac33b5e6c5598cb76c8ac13ef00b5d65852db61f05669c372e5dcc771"},
					{"0x56b84eb18c4f8eadcddfdda011cc2f7b5c06990035936f127ba77996f19017f4ff02c13009b3e70"},
					{"0x7d08817b694fb1681686e845fda634911d8d84dc73472bbe89ad038a351d9729f4e2626dc0ec353"},
					{"0xb8a32f420e7c71800ff7e1b5c3f4580f6045ed45b702294b5e89b3a4548d7626dccae5eeeac55f1"},
				},
			},
		},
	},
}

var BN254 = Curve{
	Name:         "bn254",
	CurvePackage: "bn254",
	EnumID:       "BN254",
	FrModulus:    "21888242871839275222246405745257275088548364400416034343698204186575808495617",
	FpModulus:    "21888242871839275222246405745257275088696311157297823662689037894645226208583",
	G1: Point{
		CoordType:        "fp.Element",
		CoordExtDegree:   1,
		PointName:        "g1",
		GLV:              true,
		CofactorCleaning: false,
		CRange:           defaultCRange(),
	},
	G2: Point{
		CoordType:        "fptower.E2",
		CoordExtDegree:   2,
		PointName:        "g2",
		GLV:              true,
		CofactorCleaning: true,
		CRange:           defaultCRange(),
		Projective:       true,
	},
	HashE1: &HashSuiteSvdw{
		z:  []string{"1"},
		c1: []string{"4"},
		c2: []string{"10944121435919637611123202872628637544348155578648911831344518947322613104291"},
		c3: []string{"8815841940592487685674414971303048083897117035520822607866"},
		c4: []string{"7296080957279758407415468581752425029565437052432607887563012631548408736189"},
	},
	HashE2: &HashSuiteSvdw{
		z: []string{
			"1",
			"0",
		},
		c1: []string{
			"19485874751759354771024239261021720505790618469301721065564631296452457478374",
			"266929791119991161246907387137283842545076965332900288569378510910307636690",
		},
		c2: []string{
			"10944121435919637611123202872628637544348155578648911831344518947322613104291",
			"0",
		},
		c3: []string{
			"18992192239972082890849143911285057164064277369389217330423471574879236301292",
			"21819008332247140148575583693947636719449476128975323941588917397607662637108",
		},
		c4: []string{
			"10499238450719652342378357227399831140106360636427411350395554762472100376473",
			"6940174569119770192419592065569379906172001098655407502803841283667998553941",
		},
	},
}

var BW6_633 = Curve{
	Name:         "bw6-633",
	CurvePackage: "bw6633",
	EnumID:       "BW6_633",
	FrModulus:    "39705142709513438335025689890408969744933502416914749335064285505637884093126342347073617133569",
	FpModulus:    "20494478644167774678813387386538961497669590920908778075528754551012016751717791778743535050360001387419576570244406805463255765034468441182772056330021723098661967429339971741066259394985997",
	G1: Point{
		CoordType:        "fp.Element",
		CoordExtDegree:   1,
		PointName:        "g1",
		GLV:              true,
		CofactorCleaning: true,
		CRange:           []int{4, 5, 8, 16},
		Projective:       true,
	},
	G2: Point{
		CoordType:        "fp.Element",
		CoordExtDegree:   1,
		PointName:        "g2",
		GLV:              true,
		CofactorCleaning: true,
		CRange:           []int{4, 5, 8, 16},
	},

	HashE1: &HashSuiteSswu{
		A: []string{"0xb5b90ddda6922f2689cf6d2cd62fc7c093d1edbb9b9cb78ba3a6fbeb5740830110ea006288b01bc5c3ff21599bc76c3cc068855d91995e0a03f25ad67e9b0cb86f833df84de9affcac130e2de80208"},
		B: []string{"0xbb475f2945d16aae79792dd2f17748101c2558a952d4221e5a52bee6083040e779fc8d5e9c51ac35df601e0273b10c72f2b0d48da6bbc3859a3b185a7ee3060030e001265b3803227cb9d879f408d9"},
		Z: []int{11},
		Isogeny: &Isogeny{
			XMap: RationalPolynomial{
				Num: [][]string{
					{"0x172ae0280920320d5154453cfc38fb78e8f3cc1f3e35c38bfe870403008707ab1c9d324595b739426a3f8e03cc03f4d2e6a3b21c833c83d2c147adc9dd927523d2b556276090b4e6217d4125c656bc"},
					{"0x3ac72438aeb5851d31e592b661151b037c9a2aab88cd7a2da79158e39dddee35c360788859c6aa878660fba8caaa9f8ff6480a0abcb9f9122c929e9b673eb8cb8ea164ca1e9eddd03b4155f0ca87aa"},
					{"0x6f2cca97746292add854c01e5d06bfd8282d74cbcd0e7169e2e310ca27302cee61398208840e20a9d6ffe43db9c520799710059df25e8ce05c304f59d65d4e596cd1c587a7f6f1096e53656f93f1cc"},
					{"0xab5eb0567468008b2665f73dd0c7711c3166659434e0df8f5902de8acae5cccd4707d236e5af68f88a02aacae38e2a2bd3b5bf4442e127a36d13a47260eee3fc97ba5d9d5e15d105e256c0d86e9b96"},
					{"0xd6c992e6deb66a0d2cc1008c227fcbfdedcd136cca4dd9708cf0217e554124030fb2032803e9620d8af19f3aed51abf6d98ab2be038495edf761550d84fd1fc92f803661d045879877b8eeb2d62c3f"},
					{"0x5964f96bcd18903bd4385390d129f87d141bfa129dd9b10c1657e88b13aa4830591458fe69f1c5422f8a9c04dd9ae4dfc55d44546d129f4b4bc708af118b9ce685bd0b9480e21af262b9fdde470769"},
					{"0xdea100c7e48b278c46938a6636d0988eabab86cc555a2988cae5b7c5ec0c8e9090740796a622b4ba807360da51be9823c7844464113d8cf0d134409f68758d4500cdf13cf6bc705cbb3b26a6b91ffd"},
					{"0xcc44dbc9cd7135b427007ff6d3fe49ce12b5c3cdec0a6af272524c19b15decb7c66941fc70b0e1cea225709a41d8da2dac0afeaf69770aaa930ca8be861e392fb2f3f5b8662e2a3757495ea31eb1ab"},
				},
				Den: [][]string{
					{"0xdcedc9bc56dade3f84967eaab07772e6382d825c853b5f21b2aa334ece09ca419a918ad532943018c0af9c373d006d5a5db3dae9cacbac8e1f7ca091dbb63f6e6f6beaee1370beaea58439a6b07a79"},
					{"0x195b81736d1c96d7a634ccd1a30ce5322c4d511b000e0c45cbe40e4fc193787b0b60086e3e4d2eeaf56537fcc1d7dde1305f6f1f43da15fa5a860515b5ebd80a71de65dfa88d88b4dde8a70ebbe4d0"},
					{"0x7306846c2c81b999dc05637178c43d7bcaa8f060fa6118084a2a801ba72736fbd0a2af9da70982f1e36c1c2485775de607d049a5faf6494d4d3eedd3ff5a760faf17ed0596c1e1a8aee8112ae305ff"},
					{"0xf148e1a26098d0488ff6183b6455f5e6605c502a1eb3c11e32096d10f777563a99faa0dba8835bfea9529f125f36903c681c7d9dd0bc814a1786cf0813388a804eca85fbaa5bdd78f7d746269d6bba"},
					{"0xde8e351bd12bb3d5af8b63954d0f78bfb4bc60813ad171eb74cf3eba9f691dfb1dfe147ffef06b9aca6a77d845184de3d4ea5948fe12fccec2371477802f2f6e865c39af78f97e392a54f81cb069fb"},
					{"0x10795e5f91d91e69bcdf124c64c0f1e2507ffc99bacb24dbe7d3cb6a07de6bfab41b8f939edbacfafd0ce0b72a847fa1169d64cae412d7eac428a1e2a570a85c42e5ab2bd355b6a2460289e03f1d8c"},
				},
			},
			YMap: RationalPolynomial{
				Num: [][]string{
					{"0xc0e9192eb96da62a98ed351e9c479d437e885f7b173bc0e8b5e117be8f9bc0b8784293b4edd36184584c570f1bbacfa6390dfdab92c1102aff64793eba4e0ca54166b6ea37f041d97e17d6b8793f59"},
					{"0x2ad94cfbe3e7c1f6c73f4b7986081a8747e453a324f5fef697f4bcd681b93764606aea1c234fcc16f02941c568e7e0fc9c970db8891079fecbb13a701870973155097603fa2a95f3a9814d630920ce"},
					{"0x4fe83943570d36473c925cb80651566f48ed1a12583a0ba466a4002cd5d81324bedc2af4685ce69e8ac8c982eff0e88e8983860fc7c365efd617110a18f8d2cd2c5f5a764656d1f0acd219dfa36482"},
					{"0xb2169bd7a853b597c830c30e580e9a4d2e3c25dd81b72667ca4370b2a978cdeb7bc9812693ef630bc510a4151170ad8c0618c4a038608977391fd3d83479456ea6802236a0b3de82ce1017e1a8ca6d"},
					{"0x7f25b01ef9844f28aa0a93cffc07a16e1cc68544c7f6772babb491e4a268f152a38b8b45123c9b054de66169553ba6059e8af4dc33ee26093d08489f85450d8c5be80f1ba5aeb2c0d0afd9f92a9122"},
					{"0x566545c6ba909462ad89503f026cd53fa3d34c013226c353b14aa982fb2fb682901be8b4a6341ee81a65270009af992892249cef724bf97898b1c3fc17377d4432a23894970c6dcb3583b60c84fa24"},
					{"0x63e2ccd9a60b841370ac46210ce9788ae1562f251ffddbf6c1999647217f1fb641c6b28725006db4784cda2bb6149c5f7e8a0e1262cf65258d29f63eedcf4651d9cc6f36cf1754ac816f22fc61b9c7"},
					{"0x3f2fa1f528148f6695c61636ddc28b114cbe73a59ff01987fa09ce591615c9c3588f43eee553df2b678321a7348d1d9609316cb0a7a99d816beb08586b2c6f140dbef23f030253c0e4c06208d60788"},
					{"0xf607a90cc520cf3642e858f10134f611165201f1a19d8aa556830a8d119c70f050ade9579d2af2437e4daed7e8413b7eaa57066a4f1637a9eb355979a9069b53019d4f6a3b12bd11e65f30fb97928"},
					{"0xcdfc4b597b44fc122ba1d93dbe1c643d84e251481f80d31b34e546493c89bd3a651ed920fb518fce37f21fcd0850fe6e97f9e08e774242b04f71dff19a9b401ee3c8d55d71cb9849041ef6054c20e"},
				},
				Den: [][]string{
					{"0xecfc2a8f34b76242cf9989e6693e365112eac88902ea95115bccd5bb49a664d72b2eec54104241f9c5f1a68018d8eb3db2d854d09b081df9a369bd4312614d50899c909fbb2d2b52a7635c4d17f8b7"},
					{"0x742dda08c1fcb9436c2bc5f52af4d8189585537efd4b1a7f91fa77b5f737b8c6fabc388a01078294e7dd2198b8a32fa89354400dcec753d887b198f206ae05288915451a752ef75b75d8c360ea36bb"},
					{"0xc1d1190593e7a0686859a609ff1b46e11c0327a20872f72279a21b183a44281d0cee21d747715e9dc19f973b098c1dd3599593b70f85733addf045ea08642a6f840f99002986bec1f94bee017cd4f1"},
					{"0x97e05de3ca9556f56ecf4d1ea23a7e2d2712c0ae94ae9e446d965d7004b483b7422f99fed04fdddbc0c2d7fcc1145f04ad2f384637ed52da52a2fda64c67d29b756381ab78f85d74ec8086cfcb9179"},
					{"0x75ad4fd71ac6a390fe643f2d7e58ab8e47679afea937b2fa282221167c5e439b8d0b71d9d9c415aced0755ce72f558c6b966b4103521c4d576e232006e02ce0aea7d969d59bb6aa7fd0464bb753ee9"},
					{"0xaf031142ce65bb40b7b4a865ddf8b662e90c8f6496d6e4efd790353e79905de96971b0e90ecbe0ca95cb602145603cf7e33d79207c766500002418e725368fd15fef6ad5fd2d70dde8e192180d408b"},
					{"0x906c22013e788817b69f3c5705a7dbb9efeedabf5d8f091b518cde2891e351aa73cff16f909a2aeb160dc3e26f0ea78b07d327cc073494f8fa334f7b15c42f6454ec151ac079a3a0802d1f9eabbbc1"},
					{"0x9435c646c7573441604b5c0e0a53569e9440440e3e8df291c6ad158f942080d9a60829e933883e3bdbc574fc459c167608aa11e7b0ad4ec1c35e29c0cc81bf2b7481e35d0821b52e5ee02dde63ecf2"},
					{"0x18b60d8f5ac5ad9e9b4e9b7297216ad378bffae69830b749dbbdb11f0bcda1f80e29575d6e4983787b935112bfc6bf71a1ec1730561c43e0263cf2d3f828fc8a645880c1bd0091f36903ced05eac52"},
				},
			},
		},
	},

	HashE2: &HashSuiteSswu{
		A: []string{"0x37406b7fa0e08ee1ffbb1ff2ff0ac49e29ba75a3caa8356b90991ae70b94d33807a85e57856205541ab2cb490d6980835d627d3d10b29e4d73a43caf3b5042cf1f7ab420fd005e2d747ffe14"},
		B: []string{"0xb0"},
		Z: []int{2},
		Isogeny: &Isogeny{
			XMap: RationalPolynomial{
				Num: [][]string{
					{"0x75c14b832491ee6015aa114d85d2ae69f27a247446da31831298835185ff04f44ee6dccb2179be43cf8cd0695188add97e49c08a2a617963eb40e8291283e4750d0e7862161f19fc5d41132e666653"},
					{"0x3ae0a5bf44ef27340179bf3c1b1d57bfae1f8ba310fd8743c24a07d811f3b8d9abeaa1653f0e462703b0da08e15133e1856a302131162f7bee2f30da626a15980dd9c8e5109d60f3a3f1f25d03333f"},
					{"0xdcca6d90b6878afd13917b416160083ebda295861b5e157ac318f4234ce3a3a0fdfd10bc26fb6c8aa3f786e2f81d371e8ae63cb24e3b05e1c85adc0a2b519bede8f4de4cf5f96da176d12fb414000a"},
				},
				Den: [][]string{
					{"0xeb8296fd13bc9cd005e6fcf06c755efeb87e2e8c43f61d0f09281f6047cee366afaa8594fc39189c0ec368238544cf8615a8c084c458bdefb8bcc36989a8566037672394427583ce8fc7c9740cccfc"},
				},
			},
			YMap: RationalPolynomial{
				Num: [][]string{
					{"0x126633cc0f35f63fc1a174f01d72ab5a8fcd8c75d79d2c74e59769ad9bbda2f8152a6c0fadea490b8da9f5e83f57c497e0e8850edbda407d7b5ce7ab839c2253d369bd31147f73cd74916ea456fffff"},
					{"0x93319e5991a24209f0f9cb40f4315c749d13cfe9859aaf2dd7b49ffacac9badf36b8f97c7a467d6bc10f04bea464bb9d5a14180b32825c49c49373ada8597cb731458fa4b4a51a4c047faf74280044"},
					{"0xeb8296ff61166ccc0f42465b14415e74039bb5235665ae8cd02a5930f8daad072b3352954de7b196f2d8f64f4cb7f2914f6370a8a8734b25c02e06a3b0803302b01496e03ce7afd91a7660ae3ccce5"},
					{"0x6e6536c85b43c57e89c8bda0b0b0041f5ed14ac30daf0abd618c7a11a671d1d07efe885e137db64551fbc3717c0e9b8f45731e59271d82f0e42d6e0515a8cdf6f47a6f267afcb6d0bb6897da0a0005"},
				},
				Den: [][]string{
					{"0x126633cc0f35f63fc1a174f01d72ab5a8fcd8c75d79d2c74e59769ad9bbda2f8152a6c0fadea490b8da9f5e83f57c497e0e8850edbda407d7b5ce7ab839c2253d369bd31147f73cd74916ea456fffcd"},
					{"0xb0a1f1145e7cd5e35c021434850010ffc24b2c49e7205af348b606dbc306fd4454217a29fee410d1018e8f069ddb24da811e2ddd8964a0a74496d8786c10bd5bad5b3f5795d10a1d2b8f34ffa99b2b"},
					{"0x75c14b7554770e77dd8658cd970ab1aa2fc8fce9d83cc890688b286d5fb84b3169b20ec937622862770b7b62a4d5db9623e99fb2d1c22a1fbe9954cc2974b8a638fdc49a377211bd1d2987d14666da"},
				},
			},
		},
	},
}

var BW6_756 = Curve{
	Name:         "bw6-756",
	CurvePackage: "bw6756",
	EnumID:       "BW6_756",
	FrModulus:    "605248206075306171733248481581800960739847691770924913753520744034740935903401304776283802348837311170974282940417",
	FpModulus:    "366325390957376286590726555727219947825377821289246188278797409783441745356050456327989347160777465284190855125642086860525706497928518803244008749360363712553766506755227344593404398783886857865261088226271336335268413437902849",
	G1: Point{
		CoordType:        "fp.Element",
		CoordExtDegree:   1,
		PointName:        "g1",
		GLV:              true,
		CofactorCleaning: true,
		CRange:           []int{4, 5, 8, 16},
		Projective:       true,
	},
	G2: Point{
		CoordType:        "fp.Element",
		CoordExtDegree:   1,
		PointName:        "g2",
		GLV:              true,
		CofactorCleaning: true,
		CRange:           []int{4, 5, 8, 16},
	},

	HashE1: &HashSuiteSswu{
		A: []string{"0xf76adbb5bb98ade21e8fbe4eef81b6e9756798f2e64bff3cb65781179d6b076b17683f3cd5042655e16802b1a5b1b5b5e386e23e2731d24c843595d5c79ca4b8b9179cf10cb86e782d614a1f78930c25aeacdc30c0008fb417dfffffffff2"},
		B: []string{"0x16"},
		Z: []int{11},
		Isogeny: &Isogeny{
			XMap: RationalPolynomial{
				Num: [][]string{
					{"0xb99024c84cb2829c6f231ad6488f8ecbe73b35d177c03c95a1b5d4aff107d954726713be7dc02432d0d2d3f919a6b98b6ff46f95026f313a3f953d1776abdcc48d809cb0a92e2b7464ed6eab9312f612a13505b1d000072f6798000000000"},
					{"0x26bd1df0d7ae6c65ccce9c94a71497cd125c27c5fea6d502de92ee64cfe6161e0e05eb4aa16bb7f4c55960f84e03d6b986c05315e0dc296ea61a6ce0bfe7584381b90f97adb14083c7e63f8683ffffb35baf0000000001"},
					{"0xb99024c84cb282a010dde96a80e9b8571a99e3c121ae77cf5a598f3fd0abd199502d6d31fb5237042160e2f83bbff87df05586dc52cb529ee19d07248b4fbf241ffad1c2a6de71c88e46e4e3dbb1026d5ecafa4e300000000000000000001"},
				},
				Den: [][]string{
					{"0x9af477c35eb9b197333a72529c525f3449709f17fa9b540b7a4bb9933f9858783817ad2a85aedfd3156583e1380f5ae61b014c578370a5ba9869b382ff9d610e06e43e5eb6c5020f1f98fe1a0ffffecd6ebc0000000004"},
				},
			},
			YMap: RationalPolynomial{
				Num: [][]string{
					{"0xb99024c84cb282a010dde96a80e9b8571a99e3c121ae77cf5a598f3fd0abd199502d6d31fb5237042160e2f83bbff87df05586dc52cb529ee19d07248b4fbf241ffad1c2a6de71c88e46e4e3dbb1026d5ecafa4e2ffffffffffffffffffff"},
					{"0x1eed5b76b77315ce6c7800aef7b306952f8658ccae70a80831fd94f251e13a45b7ccc7290e7ae2e14ef34b51df3471733e5650ac56b2e140baada4fc20270074f385fcf816086d73d46b785d5a289f4a69c36293f7ffee097d04000000002"},
					{"0x7bb56ddaddcc5719024ebf85e3a0a46fefc545c5c0628b194a34c4ba6ac12eab1339f794cfc8e22966cea64f49ee8f4675ef712f878e58793870797ac6d90c77a7cc163e6cef3cd9dd88b97adb140df8fcc7f0d07ffff8d09868000000002"},
					{"0xd87d803f042598656902e5a6ebbb571049b389b6a74b8bc73ebdd1ca73731f32dd8a54ba4fdfeada26f108cc45b54c92edb91d566097e064073732fff7dd09aa254f4a0dc2ae2f69fb52b5b4804e82d4ee97795b380000000000000000001"},
				},
				Den: [][]string{
					{"0xf76adbb5bb98ae2ac127e1e3568cf5c978cd2fac2ce89fbf23221455163a6ccc6ae73c42a46d9eb02c812ea04faaa0a7eb1cb3d06e646e292cd15edb646a54302aa3c258de7ded0b685e868524ec033c7e63f8683fffffffffffffffffff9"},
					{"0x3a1bace94385a298b335eadefa9ee3b39b8a3ba8fdfa3f844ddc659737d9212d1508e0eff22193ef280611747505c2164a207ca0d14a3e25f927a3511fdb0465429597638489e0c5abd95f49c5ffff8d09868000000000c"},
					{"0x1d0dd674a1c2d14c599af56f7d4f71d9cdc51dd47efd1fc226ee32cb9bec90968a847077f910c9f7940308ba3a82e10b25103e5068a51f12fc93d1a88fed8232a14acbb1c244f062d5ecafa4e2ffffc684c34000000000c"},
				},
			},
		},
	},

	HashE2: &HashSuiteSswu{
		A: []string{"0x2693fe3f93094f745f2f924da1a4260675024d398700e46db4678d6c77e732927310a52e43b73de56540c9dde1f7896d115a7661f0e25e7c54754324cb2ab353f985c8bdaccf0b3ae0e6ee49e40dd2b5d8aee87356b60e17f9de343033534"},
		B: []string{"0x4577fc0edab719863d99d99fa7737b795dd19e05021cf50e2bfaadf8d3cf9670ba09ab81773af807f37f714475a819c9dd47d9d9b93ec37c70f3b857252cd99cac4151e0b42eb00271779d66c0b0c79e7f450a1fd85b66a23256679146fcb"},
		Z: []int{11},
		Isogeny: &Isogeny{
			XMap: RationalPolynomial{
				Num: [][]string{
					{"0x57b49e22a638e7ce6fd84adb98fef2ee37a078dad5e6db136e00515b7db476b3092fe24c634db1c19b32784bd06db0e1bdbcc194bd2ea84b5485485423516adaf53426ca54ef27fe07de0370f3473b05fab20bba48a8ceeb8f39138734a79"},
					{"0x4eb16246adf77c244d7c96da07c828728ec8cf4f73b36f9d3b8638cd7d5f00932de546ce6d666b6c1c78a99b824336da2aa7cf8017843619aba11c4e20eed632ffbd4ed04676972f223e842b7d9f408585f879993e979cefce07f6b320f98"},
					{"0xb0fe2b7d5cc6757f09eb475d4ec4eb2892eec65ebb4d0b73dffe388dc8b625ae1094586e7d5f12d55eae19f405323e54346d6e75fe5e30ed86a66f3bd956f2e0cf3b68afc427260f3782828672bc312081de7f76b025cb18780f79ccbb931"},
					{"0x63ae87b32561b93fb20fe607e846b376b2db30eb8774a0c741bc2c2525053672f753b6ea1b420fc0817c91332c754ee91bbdf25a5e5fb852314dc28a26aef1a6fc6bae25a0285b8355a97b597283baeb152f6a0ff281a7a6029551336d19a"},
					{"0x8e95e735b9b8a53ec343d0960e4ee6f8d38aaadd78fb413533fb771a3be16d1dfb91d669d0fdf927aa93c60a147c23c6b26b66cab157b3b1381e64646aae66dfc53e2698852470de8fb92e17b4504bc43249a9a2e7330e3b5e25da416f46f"},
					{"0x5f0f6d5f0ff7ce8777840d1c4d25d85f9a63f04df2479c5b73f1a95a3caf20143e0bf4e9412a9d9d63de7b03be54cfe59522fa2405cd2b02340479f9c8776d6ea9fca2dea8d6d71f455162a6e9f40b76311257170313a8682db61095c7bb5"},
					{"0xce64c0bb237310b05120e54a6ce7ca932dc2d6411b9761463cf0c31e07d4caf5bac19db735631219b68c1dd00e79f19e2653d050137a01218f5b1371d9a276a8938dfd36a0565662a1c60e970b0ba6ca1e330ca446d4863f5c44cf57dfe70"},
					{"0x5c79bf1abe91cef7276af031994044074bd33da0fdde5d1356095b3d02fa2d46345e935838131a84e7408ef41afb492c5a5cf8256daa4be842a0c4e9056f1f3eae94b3d47a78956718cec82b21f3e51338e5e2dea165bb52ed3c3fef55e2 "},
					{"0x528d835a2e6a30781df335a708c54aeb2b71dea9a27564944950b4eb0d8298a44b86f039ac8815883395a340deb72664ce9ef1d01799fe56b8141ffa816ff7ce020b37944db6c438b78a9e78e96ccbc63cff0f7f7e9366ee17fcce48ded23"},
					{"0x778a6ab417356eb65d79c0a0a1cf6d67f3de72168b1ac6c13f3f619fbb33e1da96b6b4b7f07ab0d82d1702006321158b231b405cfbffe44d033ba590dd218224ea7c800dfa1f00dfc41bc8d4f7d6ae966107bf5589f8ba66cfa90c23216c3"},
					{"0x4147349d36fc97c1ff5e168c56d665d0b6f1a8a048eb903e134490eac3b6d62e9c4741b77e0290a585bfa7a1c0dc29fe0b8000728ae4d7f01a849fde08e5c268914f0dee8ed42612e1531f958cf84126358cd261871bded7381b133541604"},
					{"0xc471c9e9bbb09990d5e6c9f5017fe1382bcb0835464ce01b69391ec611babbeca074b376ad1d5ee9c49a2214a89824f408b8eb1dbf80b9851997a2d7f4fc288fb2ee7c3c4fa9d52283e977c924af4c360c5332fce61c340d6af7edef6cfff"},
					{"0x44d18369bb41e08dea957a700307d9929a58b5565bb4fc9b985b6e98047cf473b636f6afa8ddf5cbf053e02477a616339eaef3bdf402e782850a2dc76555e82e8e803f2aa39f76249929725c6ca5d292d4b10aee3535e3c9d9368f01216da"},
					{"0xd46505c4491681e80a79fca2f3899ddefc5c765972f1ff4f4d20c6b8b89b0be5decd3e700f31ca2a0a24759dab83fd694a850902b3e14d656e4864b6fc2bf1f4aac08ed4fd147884840cb0cea7f94b0f923fb94ce65f77b5992c71e1e5038"},
					{"0x6f9632f9f15470710c2004132ef3ad5f5600087a3195f06fa2a1e69c0aea80a94e43c427cd681cd23040668e3aef649d09455fa213ab6364c58327073c8c798963672d092a60943e08d17f05771a42e6abc0d30ef3f1ec16195ff2e6d455d"},
					{"0x9a51e637dd926867d26d4fea699ddbf56041fb4767c71b5cef365a2a944cb79879168c5a93b9fde6be4d414a4016b01b70c039253548cc08b8309388a1a511ebf1dc8f8b9c436cb21aa944c9240a0c1834fc199be1153717ea4ad6f5cf86 "},
					{"0x52852129f19b369553182b651e1a006b282bec349935ab9fd2b392c7e43de42da08efb80da828e5bdb508c3a396e6e22a4f596da57126b2c654700cca80014fab35dd74dabc755ea253556e3d6a77d3d93f85b80b56fa4d4011970a59dcc4"},
					{"0x1c4076fbf2dfd41be9c3e3c24375f6dc8ab18fa163e8f502566471ef2432f6472cfb668c7b4d2e7753eb5181083607b70cac77be553df58c3b26f757f1c70c45474e0c72ac735c9e176ee3f4a10142ce372df6465e1e1e1e1e1e1e1e1e1e2"},
				},
				Den: [][]string{
					{"0x67ca0a05ba18be2717328e9da3d366da18fe119dbf0c150dd6e49daa6ed4f8de92e85a04bc69f045366c80877116759af4bc0c2a6f49ec158f0a2ba5e118ba6d26ac9f2821aa917978d4a606d940397818481adb5ab3f2c9670d2faac21bf"},
					{"0x461d07431e8397832b6ae980dc75548271ce6a87465b5ea5292316b8b1eb078b69e551472f41df43806e24ad887fcb1f551938ec0efc00499f7c3ba5bf7d8ec6d63a4ddd274aad64d716307d11a0ddb9d1c0f40296317c29455075bffb2ba"},
					{"0x43635d242d3fb85cfd3a36bfa1e3628afb5e1e14ae9f67f5ab735f8f6723bc48ba9c507c50e703220244876a482f00f4d7f2d022eccac8301995542df93cc151c10b4a622565832b8793de295ab227054118d673efecd6c50fea7b111606e"},
					{"0x86095d084f72a9be4c483ccc2c746e6ef6e26720fe2700df898dd5a5b20d6a832e2025d2d00a8447279691db55bea69a97e63e4acff6b5bc3254c3fa00017cb0adf4980a85af177485637c02ccc568a182ae232f54eada9391e3d98ed5ffe"},
					{"0xb017fcf26b80fc4af09015d106339becd5762ccb32eae4554d8eac08772a9335ccb7a8a916bd84caf4bcd4d5e53ad1ddf931deda6d5bc04c2df1682d31c696bf2321a2f005e77db814de79b98353ea4625962b9e30e78311ec0d9825e1f61"},
					{"0x45fb599a0f0a1dc49bb19803f84cb2e31e0c7c36dbdd187ab5bd8f024061a702d3e9dea95dc499b77fc32f4824fbaf91d82433dafbec16e1c977b20efd359e1334357a6a5b2d4b5c9452e665fc212908db0d18cfc0b5a5f3706b47c8868d1"},
					{"0x6b33147c7484eee118a499d769e8cd5067e77bae02abf17f8a47b040d39891089ffc19052ed287404aa3e3d2eb7787cd08bb0bfcc1c990a73d649cbfeadd6c4cf9ae2580101c1a1f45a90d32b0ff13e02b5836642634c7e952b6486d29f8 "},
					{"0x387e570f75f5fa085d262c1cb47c27f872beec94798787b8ea11debe75533ea5b0031eb544968899daacb97792dc67039eabcb6e64559a202f2529af243b2d7f993cf4896d9cd1af66b9cdf2753e483999115c0caa96403d360aa9841aaae"},
					{"0x1257e076f478ad94029dfb12ae9d928ce4550151c5a02aac92329f2ecfbdbd0a41567dc38e5fe5a0d5d3adcee3d1d84639145de0de9644244c34c031bd5d564a483ca617084e2829bd8e898733dfb99cc3cb655161d5854f687d9592c67de"},
					{"0xcb293e9849238ea68db183154dd3318b7a97d2c8b5911164a377e42468284ac8f489f97435e2ae5587efc9390ec8fe2dd55a466388491e21b477cf483333fa4f481bade0f0a80dc35c4d967dad4a5aaa1864323a8ab11f376eb6ee6440cd5"},
					{"0xecfd07101cf66ec654369b1dab1bb19588285083358b3f41fbcfa9a8667bee9f2e009a65b4588590ba71ba35bfbf3f11e0e38cfc02bf8e01475be7ce2fce4a6fcc8aaa3aae1d4696fcf86deff15d543c992e08aa4ef0822fa2da7d3dd82b9"},
					{"0x505e4b45c2fd0610b6de37cee0cb9a6e5434fe87b45190ff65418b316e4852a031583c3b5c28b4f78e5cdebbd7ac1675f1bbabb6bbd07ffad253349ed13c6a1e605856fc83288739254e877b0cca8c895a2119d0c9371fc59deded45cb1b4"},
					{"0x4356cbf741137297e9995a239f126c8e69898333c8a0891ee9ae4acb9f66cd1fb8b5c550d54b3d3516d27fc5ebb31b938d50d18a5d1fd92c4fbc246ae3a12886bab0e3b38692d26b5cc13372389c7c65df91ba04dcb040f2c8356bfb78783"},
					{"0x2d30af585d5961e587be65e1b61869b980d0a9a66510b0013800455621c06ab17bbf7cdb49df67795dba802f4a5dc215300a3a409408de7801f2f0a8e5b3587d478f94c523087fda1b7d9fce00d99ad124ae782dd5a6033e14141ae7af925"},
					{"0x89ce51dbfa7cf438f4174452a0159618713a55916e86698c00023059f53812346d2e996cd2be2ce603938b6e28add4df16fac31411400aaab469b668d9fc0efe45b04c071a2e09243a6f1c24fd2927823ba1b82803796b4c5ee8d14b6eca "},
					{"0x60380c3366f74e8a5f5447e6867e4d6b0ca3c6d01e5ad7bfaff113c053f5cada2ab35379044733a1e57cd19cf5ae16240e7bde52e621adad86a454c400381cf47f872d5b7ccf190cddc4a5477a932bd4a5e22534d30913553db82af7238e4"},
				},
			},
			YMap: RationalPolynomial{
				Num: [][]string{
					{"0x9f93a11a37f333a5052a497f2ff8959bc7b3e69bd5f470445f01d6071d144dbe992d4ea3783f0fe7d017f5dcc1e6d2980590726773e6b4bd7bc10cd999e2c38c2aabb90c484462c378b64918c1a48e51921fb837ac5feba926c3f623c4160"},
					{"0x577ef753befab81d08fb0ce7402dc357e7dcd98cd569530135f3ad339845cfcceb84f041cab594864b56060469cc8e0cefa322613061cf50bb7f8b3adba1caa0a522a5df2481f64cc0fbde989a13c70a8168d6cd40a30a342c186f229597 "},
					{"0xa68f14dfeb538700dd4d74482406ffae6be6396e04519ff32a9d0962b7250cd4a6a14a17fbc36032b9a79cb3f79b06d9918b4a34b8302120baf4757568bd3987d5bad8222ea01116c54237a31599acdc600517d3f733f5150930c07a9b8ac"},
					{"0x62f40704a8cef5860a7c1a0e953d8ab65ae5e0cb6e49d58da6e2501eabf797a77b043818a3bfa545a51060e24c3b7c2773412e527e1b72acf2044d95548b72836851a635e50c4c24b35c5a769b985fe464d857d16cecf2f8060374067589b"},
					{"0x1930bec080bcf38ef774f04e675193fc123f266b80e62e1b294b0978abeb31b3afcb02e33f65309399d12e3803fa052098b473eea25be9b9064c8821c0bbb90d9eba711b1dfddf00c2ae407d79382ccad4c6df7d43c160ed257138fdbd403"},
					{"0x65e5a193d3016af59101e156a7a886a3d15bfebab72190e437dcd4ee1a42a17f739c140aead0cf987e922daaf716fb7b36b61e0996fe6abaa4656b8a7f5b87f41ab28135a032b51957e955ce8efb83242cc62fe08a71dd8065c66720c000d"},
					{"0x7efada35b7158ff27d88e0ebb8775bb5e3c7f4224e20a223bb2acc78e0176802b998265a7d6473b22171bc9a57bf3943ebf43f71fd0f9006e5a7af6e6e76f11b949e7adb6b7d252bb4c36338ad539a9a7c77cea84280e7cd2964e5591d226"},
					{"0x29eb281af9b44d21986ba03590afd087e477f3cad3234825f131a31eab2adb59ed830aeab5e5156f8c5de90f81c12d8231604c9e25c4b358501edef95ed2926a79bf118f22d9c4f6455c8c7e37d618c9bc16c46c974437daf821bbd839df9"},
					{"0x47e261e740726acbe699eac8c486186ec6492f0adc2b3dc99615e874b4b7e093bcdafe1075392c49bca1ed7d4d043e2798c971e73535be10e8f4d6aa23b3bed69de7e75a8d3a8373e8ab0621582fb7cc43d2643095843d47003dccbecfc7d"},
					{"0xbd7d4e63943690a235389a6bb5d448042414a1fd9dcf42116515f6f7e5dbaf168a9830e70255aefd2bc14ca35eeb922039ab85ba718d3e6d23d86b08381e413ce18ab5c378c43675af0695ee62eb42790c5d5f89c2d0db6460678d5d7d2ed"},
					{"0x41c2f299e34019cb40e2af5a6bded90f03c9e6e0cbdd853e783f4f3d95935d39ee31fbb61d17610387b84ba9519c16881183a72c59fe7383aa5ae217b42b7480f8f058ad146edf6b4a7549cccea967ded9fd28d150274cee458208907ced2"},
					{"0x405da38064d76408c3adde67a954882f3c8fd36eabe3201a9dfd75629c8f4036c1d63831453109f54cfbc4cc8b9e5f663d3db51eefcefbce9b533b82e005bd9ee7af344ca3dcc40775a3fd24231ad6aa8ec93782ca5005c54856f0d85c04a"},
					{"0x5bafa78c01429499eed6e25e9349a6ca3d2e0ac1267e137174d00a6c433c6095e3d1f312fef70a5703698371ddd1c06e302261b4f6069ec4b78ad4e3dcb37b5253c0787566ba225638b446092283e42cbe85907b5ebff3b33c270a868f0c "},
					{"0x39c152b20238115dd4e6df5508cab1e2c8a7ee9eefdc292f058b6f89586654c8b3586b6f76e713ba51824ca6e2e3ac7a381a8f1746d7d5e500312a7c8513c46a5736425da606f7b9d34fb95df8e54ba0e7cdaef0079df1eced56133412cd "},
					{"0xfeac73088d841e8e555bfc8117068298c2aa3b88c0172c8339c4c507dc212472eccc77267a6946c0c4c260135b4a5f0665194fdf129bc15fc9623987abc4b4d251feb6696737b390dd48da1ee8eae6123b350c4356ab64e534709643ac84 "},
					{"0x6a9a250e9bafa906b1ee1517ad74a816a62c5706d13b5a198fbefb1d2d3dbda735841e67a0adc0ad30495670bd2b83953c65b19aa017ee928b6d5d195b3d16590edf554767224c79b07e803db87acc6a54b60d71b15eb75702f9168c5181e"},
					{"0xe1aeadc4bbd21621ff33dcea2e0ec99a6ea667741cf62af0494afde045b4ccb713836169de252f3018df60a9b42972f3ce650e5fd93a8e06e4fc281fead12a631e834d5753f175a5d76c2c3582caf46cdce6228ce2e767d59573c748ffe55"},
					{"0x7ed20aa5207c66a812970c473f270e99e5974d86d49be1e1976f669388cd568cf799f5c57d9a251960bad6c97dd3fc335eb51b4852cca361a95fc3eff218be4b9b46bfebfc552521659092156b85da783cc46a24ba5d1c1af9ddf017443b0"},
					{"0x7235fb0eb41c06b940ccf7b11788831523a2347562d30c2b147b7381f37a4a63dbae4794c8bd7d0f681bf17aa86221277496fd257af5814f73c8303e1ba09fb80ecf6627b00d453dc712e67aec504f7ece5f39d54f49f6212e792ec1b67dc"},
					{"0xba8193a4d3130aa424d39453c76c8ed262b2e2e0d07f453061b253ce779e1ba0a03f90d00a58f8d08c681204aa771512b68cd12d2dd4e7ee320514a2d5f56a1b8dd2a33c1d4d60a503cade7e0eafd341d8ac667b1c8ccee77ee263808a2c0"},
					{"0xf58592db221a5b17116ecd2bf86c7cb449dd623e49bf58ccb63baaf1cfbaae68778caa8b2f5d9b9211636f79b7ef12b9aa2155c4ef99276190af85a5121b9beccd7c747e153187c668b1846a179312b7fdccb9fd8273ffd3b058c2a97e99f"},
					{"0x2fb957ed355d384286b2f6153caad9da4cd75da2f960d2b0162badab4e6bb653f08a4ba1c93813fd4bdc0ed7ff19073696c16685bc73c7924f3f094e19db49cdce7365a991e22911fe27b1ddf631c5f8775210eee3de31057c27f397c5db2"},
					{"0x9a597c03b1977869ca1a58b04c6c7b5a8136d673428d8077c01fef3fcf1b7661dd2c9a0a9f258d60ac5cddbaddb91dc17e171cb4a48d32d3eaf5be484430496052e4e835781bbdb2f52aa838da2b488143dc2266adbcc6dad98b7bc422c65"},
					{"0xe19735baa44196f6aa3be94274abd8e8669acdf6e9d985820bf1adf34d66305e0a9c697ae0996b67513553a1a5b6e2c465895925873497d56cb7796a3a3fb58bea27d51180a658bcd7d81c7a86577ed8ed84b61484b70703a5be7ae16fce5"},
					{"0x3be0b32a85b89ede867e519b45827587ac1c9b3201628e5a499574e5da2edccadf907d9f793c735da5ff0fc3e60d3550653e133c3d1b467b5951ac65f8ac41b50e3a2e76024288847449f0d35d73d783c6a1c167f67a3e01c5894d10d4986"},
				},
				Den: [][]string{
					{"0x6fce5ce514cee5debaed37973056b6a3edfe727211c6e6a1fab570eed4f2a508e96d6b081ff4a1b1a8acdf79fd0bd33c663045955b8cc064b8b92b7bbfd15fec96bb04be80bae195d8d9d51c240630f776a199d13ecad6bc53f75189d614d"},
					{"0xe0962cd218121ad29e5d7490bf192c86380cb1f4aa91a0e3a86aa73be92a1c3e8a440a35f0248ee807f47a4239a421000433a638d113dca21313ab532984ee2abf3b38d1170fc51c7ae131c57a7449c65cfdd78de9c937528723d0712be77"},
					{"0x1ccc8c1978c03d019911928c1fafaafbfd603ad5590c6854d54c3ea722f18a19020e256e2d2f66418fd103b42765a5195c910f10097fe452c4ba4b5d5ce5a67ee3adde1a6b2cdf3b7721da38f676e97788cc4c64e2e7962fb81bbdc0f28ba"},
					{"0xe22f7cbf189dff65136339d090ea28fc60f120cfa26dd8433c6960b418362be2336be5e929dcc61beb4412dcb232db75be87f17b02742c2206620c090b9799e3ed9d988b69316875970f19cf14388a4fde13f176355fd16b702a250a65024"},
					{"0xe8f52882ce0a0e52ca01be901b93d21fdffae3d31b385750e422cc08cf926c7958a67728e2d26aae7ebf673a840d9d1f8aeb9e58a379f690461f8100817b8185a3e87401b650d473bea9733277bd2166d9f1d7f6fbe6711012bb354d2e636"},
					{"0x875fe99541a3b4273eb0e06ca68021e7b484844fe1276a3dd6c1ca17fff7bfa81a7fe367de671cbfe1498baea048a898dfd77b2d7ffbd4bbf204f862d8771bd35197f0575f6ddaf2dd8915747726e2aae3ddd49c58e47d732e7dc74aaccfa"},
					{"0x4dfd80356811a35a65acb00c46d07a392658904a4fc0cbda29046c44a833a31ed9850230c5f4ed0c1e1e76576ad104d193292821897138fdb5700b90c70041f6f5570cba9b4f4d7def07d469b4c892e87d2ec709ba01068510b911e9e8ad3"},
					{"0xa7f230aa84f2547cbe501721f030ed5bc4376f897cc22d1df86da38d73b27c3903e3e44109d24de87f66a029b5cfd5f68fa440f57de9533515f9912fc130ee39f65d7fb8da98d707cbcb268a3f32cb3b40ab7dcac9128d916a20625e28985"},
					{"0x7f35f1b0caeeffdd8711317415c54cfc5a1a04ab3cd08e6b4415b78b5760ce5dc99acd7c5a4a4c1238c478461e7b79c4f09bc4b7c9c42468fabcfdf142db1403d5b01a4cd818594dfaf729a18514e62aeb7a3733765836d2a9d893325c7a9"},
					{"0x9bce845eb9ff707815ed7ed3fb74d199d492671d29a3bf2072594b9154f530a311514634ef4fb471e883c854dde519b85f679d07aea459f7c3870ba31b1bd2c3548152cc0ce70241c24572d7eb65069b1a97f2bd155a4185ef91ea5659b13"},
					{"0xf0e88310ee09722be8558b6ee541afb4441bc1e77ae82ebcd5d792f6330980c3d36914d73138f0da01be4580c0c2188c0e2a010746b596d80755e71d07028f78bc29af82e7e5be87fb3430b1696810ea95758f3924d846cc0192a1e4f6e10"},
					{"0x8237fb8a7d102cfa45e7020363d892aa7380d1b5ee84b792c65fc2b167552c67623578c416e9922772f3ec99fddaef25907d91bbf0c72b8f0a0070a4d635a1ccdc78a8c6d4a175ed00a68a1eb0e7b90a6a5f33c6555486c77d4aed026ebaa"},
					{"0xacc8c17e87078f38e1056204eea4bd9343903c88966d0ddc2ca5166a97a99db4b66f74480eaf6030d42f8f23f00f1e7a1a6d13f086a76f04f14e98f12917de8d7998089c48bd860301813a95f708c6bd0417acadf80cb9831ee34286cfea8"},
					{"0xa9c3c892d49a5c3e506bfa242431f2b9f3934c51c40045e40478e1f4120da439ba6f0cc154e80bf1ea7ced993b7310545b6af11a6b3bbab611e648afe77297a776ef9468f51706bfbf60a100b53571a0a7361cb592a4f3000a45c013c950f"},
					{"0xeeade4edfeeeef2bc9f34296787829c99b544f11722d55db8789550c5e005ae27d651137cbdf9cb95ca030e3d84544dd21d7dca37bcab9f0e1ddc4cf633b5986746b0371648bac79367a9512396e9789031acc705cbff8c6d15d828c6bdd8"},
					{"0x6b6c82e8a5d0faec7af39bbaa40d86ea47acaac61910aaf01c238d8ac0f2587e2f993835b77e0312a3d23a2da61cfe7d68c91af4d0e24dfa29d5ce2c470c29c5ff6d89f060a0c0546daa1287fa3ab18a20cc1666ad84e3343d25997269773"},
					{"0xdb9102798323f938aa773da2a56ebce58aee6da13e2b10b8a56bea0398ad2d5fa0585d35f7b8b0e9076577c6e36ccf6f9d12e9018bbc8424d38620b874e24d4265bbf27fe0940ddd713e2bf225f0cac7a82c92516c75fc6d88cdbbdd58ec0"},
					{"0x3ad0edad38f3ac9e11e7c078c6e80cf48879547ea9efe567d0fcf53151b71697643a4940c375e6593b96a3370c56964ea3fc16bb574197886c0d9da0064eeb7e4121296069a4509b10f97a4b4a4943d083dbe0a221465711128d1778f332 "},
					{"0xc23a66e6ae7cebc4e55e5a301aa0bb92932e809fc326fc2a9e5ca5711241c8c77313b93e8065e8ecfeb3765a53e2b48bbbd6e27b960e76d00dd5f212f51c2381f6571a0a2d1bdb232ae1fea083b5573ebc76b53c5e8c53434a3e0ba80c3e4"},
					{"0x9dea557e9d9328f93a7a014265d3e7bb51164ef0a4eee3dd1219b918c457f7f0818521d498b13552933f9ead5b0b48d6b3db282c72ec06d7ca1721d3732f3fb59c6c655f3526db0cc833984a0f4957f312abf88133767cad4485c2f9b9af2"},
					{"0x9497a4421814871b03a96cb5d6b294880db80435d857c2fe9f4e97d75b37c795a1728121d66ce742793f98090d0c894f715a7e81dce84f594369b8bb2b9be0d482436c1ceffdc50efae8d85be760beecec788b5f1b08180dfe69567a0c102"},
					{"0x9ca415b1068cafcb60219e17f1350a1ba427a276689247978356bc51e19fbc7bde4a260c33e175dfc83ab230d17ed24c88d8de8c145213227d443192eeb2e1e4c61b7be341bd88638d5b44cedf93d445b344552c004f4b02bcc04b4c235e5"},
					{"0x2a27787477dddb1679fedf03a1e406b8df8cee954e12fd31e027d2d20f5dd6ffe6dc92a5c9ab16be8f21439232809c6187cdae5a5c6fb2f48617d22f6f2a719c5fa6125df02e551fc5c88bf21ff67de5c3cae2f8553bea742fdb7cc29c9cd"},
					{"0x9054124d1a72f5cf8efe6bd9c9bd742092f5aa382d88439f87e99da07df0b047400cfd35866acd72d83b3a6b7085213615b9cd7c5932848449f67f2600542b6ebf4ac4093b36a5934ca6f7eb37dcc1bef8d337cf3c8d9cffdc944072b5556"},
				},
			},
		},
	},
}

var BW6_761 = Curve{
	Name:         "bw6-761",
	CurvePackage: "bw6761",
	EnumID:       "BW6_761",
	FrModulus:    "258664426012969094010652733694893533536393512754914660539884262666720468348340822774968888139573360124440321458177",
	FpModulus:    "6891450384315732539396789682275657542479668912536150109513790160209623422243491736087683183289411687640864567753786613451161759120554247759349511699125301598951605099378508850372543631423596795951899700429969112842764913119068299",
	G1: Point{
		CoordType:        "fp.Element",
		CoordExtDegree:   1,
		PointName:        "g1",
		GLV:              true,
		CofactorCleaning: true,
		CRange:           []int{4, 5, 8, 16},
		Projective:       true,
	},
	G2: Point{
		CoordType:        "fp.Element",
		CoordExtDegree:   1,
		PointName:        "g2",
		GLV:              true,
		CofactorCleaning: true,
		CRange:           []int{4, 5, 8, 16},
	},

	HashE1: &HashSuiteSswu{
		A: []string{"0x122e824fb83ce0ad187c94004faff3eb926186a81d14688528275ef8087be41707ba638e584e91903cebaff25b423048689c8ed12f9fd9071dcd3dc73ebff2e98a116c25667a8f8160cf8aeeaf0a437e6913e6870000082f49d00000000007c"},
		B: []string{"0x122e824fb83ce0ad187c94004faff3eb926186a81d14688528275ef8087be41707ba638e584e91903cebaff25b423048689c8ed12f9fd9071dcd3dc73ebff2e98a116c25667a8f8160cf8aeeaf0a437e6913e6870000082f49d000000000075"},
		Z: []int{2},
		Isogeny: &Isogeny{
			XMap: RationalPolynomial{
				Num: [][]string{
					{"0x48ba093ee0f382b461f250013ebfcfae49861aa07451a214a09d7be021ef905c1ee98e39613a4640f3aebfc96d08c121a2723b44be7f641c7734f71cfaffcba62845b09599ea3e05833e2bbabc290df9a44f9a1c000020bd27400000000022"},
					{"0x9174127dc1e70568c3e4a0027d7f9f5c930c3540e8a34429413af7c043df20b83dd31c72c2748c81e75d7f92da11824344e476897cfec838ee69ee39f5ff974c508b612b33d47c0b067c577578521bf3489f34380000417a4e800000000046"},
					{"0x48ba093ee0f382b461f250013ebfcfae49861aa07451a214a09d7be021ef905c1ee98e39613a4640f3aebfc96d08c121a2723b44be7f641c7734f71cfaffcba62845b09599ea3e05833e2bbabc290df9a44f9a1c000020bd27400000000023"},
				},
				Den: [][]string{
					{"2"},
				},
			},
			YMap: RationalPolynomial{
				Num: [][]string{
					{"0xda2e1bbca2da881d25d6f003bc3f6f0adc924fe15cf4e63de1d873a065ceb1145cbcaaac23aed2c2db0c3f5c471a4364e756b1ce3b7e2c55659ee556f0ff62f278d111c0cdbeba1089ba8330347b29ececeece540000623775c0000000006a"},
					{"0x6d170dde516d440e92eb7801de1fb7856e4927f0ae7a731ef0ec39d032e7588a2e5e555611d769616d861fae238d21b273ab58e71dbf162ab2cf72ab787fb1793c6888e066df5d0844dd41981a3d94f67677672a0000311bbae00000000036"},
					{"0xda2e1bbca2da881d25d6f003bc3f6f0adc924fe15cf4e63de1d873a065ceb1145cbcaaac23aed2c2db0c3f5c471a4364e756b1ce3b7e2c55659ee556f0ff62f278d111c0cdbeba1089ba8330347b29ececeece540000623775c00000000069"},
					{"0xb5d1171d3260c6c2f4ddc8031cdf8733b7cf429122cc15339189b5b054d6e8e64d47e38f7311afa26134df779095e2d4161d942bdc3e7a472a0469c8737f7d1f64ae397600c99b0dc81b6d52d666a2f01ac70146000051d8e2200000000057"},
				},
				Den: [][]string{
					{"8"},
					{"12"},
					{"6"},
				},
			},
		},
	},

	HashE2: &HashSuiteSswu{
		A: []string{"0x10f6a7725da2bcbd3df98cd57fb04b0378eb7ff3d8fa48869b2b9ddf31d3fc46fa7c4805b5d4a79e54f495b52586a15154dca22425367989fae305ea22f0b5a4f979aa9f1d46f7cad2f21696aab503eb53485d6ccbfdedca97936b7702a7d20"},
		B: []string{"0xe1c43bfe2767901cf467cf40adfb7afe484d0d477552a8570a117661033c8dce4d56ccf35850bb0a5c646e4433a9b0e43b8701384b604cf95ffbd668698f8bd2f2739baa20c154eb7c88974a36fb5487c4cd8a1eb00205769d93924cfb0ba0"},
		Z: []int{11},
		Isogeny: &Isogeny{

			XMap: RationalPolynomial{
				Num: [][]string{
					{"0x25398befd780935a98ddee5ea60e4ee96dcc3cc7e2f9f2ce97adb5eee13f1f1d35eba83968f25cdff13be2d0446e1ee6e19d332712d7b1f63509e090425865b0383f77a43ec7c63055a6631892a33b84b81457257314d13bbfbcc995aa9def"},
					{"0xbf9fff0b23525e2cea97716a08dd64003da7fce131cc13876e7ae922718e7c7b8a219fde11b35b7442d2f97a46f689a9c48636800a987bbfb5878e89b551db4b37469c6d446d4d6b59255708ea4a3f127b3199065213283b886788a53960bb"},
					{"0x4eff3f1c655d2a87d2d8283ee2451dd85a772545d9213f5dbe1f3410d2e21ac1808ca7876eae1110b33a6fd2073d467ece168630a242486579def540c85a2d66fec67d057d6091b08e20aaf4c3900a8c9f901844d51d38ec5ef4abb1b0f811"},
					{"0x1e9c0bcdf00775a750d64d31305f42117cd59252c0a3ed281e6b08cc26c3503e7d05a200d062300d173f5bc69a0c0fed0be50d429b72ddefc9aebb14a47596d061f1bd6ecc6a303dfd9b3a47a35b12829b3c40eb8012f2b68c765be361f50e"},
					{"0x116276c9e850399fd7f4da35f933e4b185e5932d984665cfb821f13cbc8726a455e5efa50ccc596ccddfe93c3d9bb016f1b95e42631f82ba4207ccbc0c1aa33ba899a6c1bb9a54571ac158f417dcf0ad4eff05a3ba55e9b9dcb0e5b01bbf218"},
					{"0x5619dcaec9c5296187bd9bae9507ba8e6c764f581fcd92d618cd9a9246e7fc50fc7f9fc8b5ac87c1897dd329ce72a85b9194b010ac6877b5ff0e5fc60379ece4bffe6e7b08d3aaba9a2301aaa0a77ccc80e216f0a8bb8b4a261eb76080b1a0"},
					{"0xc6b516997dc93cdfa17c6218ac94a6a91248abd4c6f43fa5b4fc697fc3a51effd39e55b261bc89b4aa71955df8380a40b7dfc1ffa29a01e26df9ffad6e3f3d756cf5b0793b92846b66d18057e2cf6366e3030836caad9abe69b47472abe20"},
					{"0x4159773ff45be12f91af867bbc0af2809e340c244c1e4be605650a2d3c609120ceedba9b1808a1307ec320948f88df769d1b678fc9de1c010756fe9464e4b5e0d11010524bc0cc292cae038ff9590096b71194706660fa88f6a001f17e4148"},
					{"0xaa0ec8348732fa3c9a97761f624ea4478cf6d4419f0b2f9dd9a54f91c5a95df61a058d1be7bd5c791e5b7f3a662bff96ad246272e77d2955ac52b817e161e397d8ade57c4f1be9df28eab1ae49a7d53ab57fc1dd84dc967f8bfb768731e132"},
					{"0x5626a46d9768ffdae515e2f43220eb9bc29cad1e6793bc78b1f1be6d8f55cd60cdc4d6653c7fd12024398d4ab901d283ca67c9798e8a1b6983a8a07db5897134b381dc523cdf9799229e5aedfd6b680cd75083a78b24cc73f6b3e515a00fc5"},
					{"0x68dd735eddf59490dad172f6aa60ae8110aaadb1fd2e1b708a8d429feca6b81381225666854277c93a5275ba75045d83e407ddc6a763ae980dfefa0b2523cd61362d7a658c622b5766e55a1b1d054b7199a9e0ccfac1d6bcfee34dff34b476"},
					{"0xf4d4ce5273a64c3463d1f51ed0895d3e20ea073bd4ca22febba741c47b6f6883866e984d62de4976b2890d5541e63af463d3b0b96b17b8b5821149389544a0c7bad5736bbe9b58395827786cd4f06f2c7c882980b290e4e5d7799004039838"},
					{"0x7563caac9e1636456f2e72d9034a59342e3a863bcce6b762e1b683fd1f9d7851b192b15bc2e19ffeff8560621285497077cacf7a160b59a22f3c3db6aadec7f650a575732b62884994e454ec534c0e955a38c42bb24a748129f53becb91d3c"},
					{"0x8250dc5250d43ba6fd216c9b07c2a8553cf26f9486c053518e2ef1d3acb59f2413bbfa33967b4225c1e3beb6ddcd94465c6f5dc1486d70853b86f092fa65e0d1786a8c3fb2f2dd10b309a98fc123d556e30c14737e05ed4cc7cec012423f4a"},
					{"0x110eb883b84c0238f7acbb20d75f08db04da7ecdf1c7dd8ed99d8f75c923154e280a750318163921759043a5c88c1cc2ba425380bb8486f9c3a9f9d716cdb0f4c2f1dcf96686fe582d4a88fdf21727d4342d7183b1d58de15587a280e1b16ba"},
					{"0x12187cc667349a16a75bdaea33e2993f7cd21d582124bdb248d746264fdd53091cb92188d8da7ba18e5ae858f047724f0d088320747de67e34ceff1e0199fb760f49dd57670711a1be6d4b6898f568fa44b560463b95adc10267acc34419791"},
					{"0xc40934532a6e2559a91a4b56f795bb6d7ab621deac562916e0fac5082c42d6ad331b9b83d4b9741925518bb8d963fa934dd3ec288a062437669f25104de2110e4ce5fc21a60590e0cbda800df12e1900d474846c0276c9f11084032b75a610"},
					{"0x950b7a24e3005b05c4d6cff3719f15f292b33ab2b6b52f5e0f4562d44233fb554d53bfc048ebc9bb5fcd3c92a88824de5ffbb5c1eb887c0dbb4fc5c20663dca7f66b5cec7bd641f751e21af2136f5e8eeb5dedf9d0d5e866566fc73de38afe"},
					{"0xd9e2458632e3e1f2a102f36965e3130f9d5e5eb0dce8240464bf79d11cf57f41c8fe66c04d820811d9d2af9f9e09d0265070fccc415e0aabdc0fd0ad081e12a5290090f531562d4c717b411165d8e1eb1a4cbaf5f239fcb6581c1a75712a1c"},
					{"0x122bf1411d59559e306075c9a9e73edba1dcba34443b235a1f3942a0f8edbc955d9ea0d9af240d05809eb3c0ca980527fd545e5988e6dece2da9e35061a2f637bd9f1f35aed13871ae23e6283c7e18e7459971cdbfde54507f7f22f281b63e8"},
					{"0x87f8706b78c7434a1e7d3eb3bd363eebf95d01ad6872e8660a6946347699f965417b8fff42df607d4fb609f414ab8eec9c02a4eb0e9b887a1765aabacdb3c1dba24cd1834095e31d358be65cde6d7a498163678ba1bc763da43c538dacda43"},
					{"0x99598dd5d2443bac8cd6e5c3ecc45cc4aeacf527c1b3567d300698a2ad073f5568544c5b71529380fd88d628416643b95c1afc65436bd2d12bcb4072876e5117b0e5c841b35a019fdffa973882e72a6118c03201210f4161d8179a77fa96c1"},
					{"0x395ccb482186b0d3462ee62749d639e3c946f14379eb2adfae39a686af0d4f512da5e99d9af6022457a75ece4bbad3c805d8d4a74640e02abc3ad625ef7c5b763d0b6c1251f66c991e087a392b0beb82edf72225a85c8d6466b035edbf2627"},
					{"0x3770ad705bdb83b47be929dc5dbd908ea8d79598a767879033c5fc2a0c7b91722c960bc130c0efe87d53576e8c5584a26c62a0e740d13db50d1adb0312b21f33b91fa89dedb493a757ca9aeed1bc2a4dca12793197678cc8fc57fb2e6a56ac"},
					{"0xb257db251cd766a618b10b3eb05d4af66e0aea31f5b3ad460f9d2ee1692d5e8bee298b3ff61841b1706de0438fc9e2081e54ef4b70ab63a355cbf3e06dea5b41435f7b3882192ba5af9b9414da295a0f419f4b95b543208c06f7ecb2cee716"},
					{"0x7c600c60c02239ce8ebf41f0319bd21e2552cd6d452ac9e8aa6608a38158307eab1e9425d494bbea54615c07dfa0470939e3434510c0d1241407c57b28097da2b181d27d3886d4856fd784a1d2dc53001117ecc1f7fd1e581f192e17b098e4"},
					{"0x6045e5de1830a58673c025130d7e80ca97bdf40887772da41dfa549d9869292e1739c1a407e6beb8fe2b99199b4e942be609f5dff7996e0af243b4b11f95f1786c4a1ca576a1265de1e7c3b2546ffa8a5bedea1ca96dc7a81f84a5e4c77a04"},
					{"0x1116eaf37b6d0408ff038d49e29bbcbeb447cdbf49cc259e3f4d48a852ae1ab74c117ff277ca19f08fdc9e4216d315b3a9119460a4f60001dd6be6807db300b5ea9afdd5dc63959275c79bb59c4f32368ea77ec4a4d15a476cd0590165bfa10"},
					{"0x10c94d5d3bb80cf510755331b3761f7ec4df14992881bfca3bc7c43801a077bcb294c8186153487ac19f724a22735b8979e9b86fe34fb6c262367c41a8c76af62fc7da83db17f6ed4eca215750b6d12d2b278585c654ec29d0937b7788940cf"},
					{"0x1adc9be54368e5538aea2182f9892b6fc66405c9a6ee59731427aad5ca1d09ede3e3dd2bcbe7e04c582d8b2fac638d2a329bef768de78a149589710130f3bd407b9ed5535d7b45778b5c1a5ce3957fb462cfea58a7c29dc22c876bc3992eba"},
					{"0xf92aafea05c0b551ae26fc31b31a624c28d43b2633de8dffa690d627760fd04ecc01e0a43cd2e7969263d703cde2cf4dce88410004356d82e535ece5f3ad1a38cd9d787aed584380a438416810b4e3d756be29b52f16db58cb885b83891e8a"},
					{"0xf6e4a497e67292d3b2ed5800dc4c716545175e45f04fbe0e16c6a905e5d2bf099b5c6d989299fa31f11352a7b0423cce76646b492696aeb3a7e139b8e5caa737c3cd3513cff20173437870a9943d5bf1d6c6dc4732032256fdfae43caae4af"},
					{"0xef6b9dc12aff103afb6d8f85d712538920f39072ae840d58faa0774a7df1f5a17e3f741298e9e83ac88fee4b5105f489e0b72b470b5219bf21f8af05c1f8f848904da49371d8c95b5cc896bf727d0fe6b0ddf965c1e3dd973bf8bcb5b2d932"},
					{"0x37bd2a9eca40df6fb0a16dea501ffc6dbe8b455c21dc65f29692d9d31a98ca815a302e0d0b8bbcefe63b793e4c81bd825704414613e8457453e1be9bac8a7f7b282310f4f7e8a281c422256ceed512339ecb348bc9bab690ee7db0b90202c9"},
					{"0xa29355f9bb4369fe4ed85ef14ed5a3c7307701d32c7f31d71947530f8064d5ec499eb17ae6d82853c8ed14eca3b3bcc1cf7cf698b7364a7aa6e63a8ddf20d34757eb4f206648f43a009d6c9caa25290617164247c47dc48ff1743446f7b562"},
					{"0xc505e34288c6805efcec5bd0586564640e784560bca7cafccb08a8b0a53d7c8d646fb60288a071f5cf1e2454d1ee1866365f32535d94e4a8cd0a05c209dedcc42eabbc105c080a94185fc6bbb331d3b77382a663a40b36098c030d178e3021"},
					{"0x110e5f69e48a34b6f6fbbf1c7525e873245669b5fced30ad78975d61b872b5d5e91dab7f4cd23259d7e04c517730240eaec702f238c42fae550b64d4deb617b0b6fd1beb61403c45268912bf795ba2d35d9e292ea1add7e535361761270669a"},
					{"0x11d2b5f8809e696da7ce154a2b558753626d70bd7b5067f4698f205252bde384b7ba440c014b56084035045d969b63e08179de17ac29216aa5592e88f8e24f8c1c021e7750d2a67b1628c2e8dab61965aa233740750f8d5a4cd83d55d4fd9a3"},
				},
				Den: [][]string{
					{"0x83be65e9149262d3203a99fc9235079469fd8d9c911ccd0f38c12cfa4c622ce757f49b41f1ea4687b29ee8e01212e58d238c956a5b1649f1c477e1ff8a6a6bc1f109dfcad55d5a778c8fb21cb49743c66d8cb6619163d013bb217cfcd15e05"},
					{"0xaa517d92a19b280dbc13f7f29fa923a05e4e8bb01bc2e44c40a96c6af237ba313bae0ea41f64bf4fe6b7d864dfb1c747ef73e9a6dfc1b5b4d299b0826c99357c1676f61345c05f9d8a532ca415fabb4199a33cd0a482c684e3c8c259d78aa1"},
					{"0xe1629421ebe8e0a16cb1565702c894b7f3a2509d42812b8937a081006435279fc5e3243489c3ae9448f42e0cc419c63b57cb203c524bec8fd171c1866ac52b773ce80494d0e2637d4bec5faa81b7c2c2f21e91d8fbee3c7f16cb858eb70520"},
					{"0x57980339d02e07fff4324765c596e2799aae01736d752ced8e6086fda14d435dcb1297ff21ee6d272be5d2bd6fc2bfc3190ac40dfa02e83990d5fe9a026656f64c6d99261dfd05fba525230d034791591e40c7aa7e73b38cbf54f627495f04"},
					{"0x807a9d43baffb4c128a86c128170656322ef19ef433ef5111ebf61c6ffa11be2f2efe09bd80e833650c2c6387de30f62198c8e02b2e812bead3143f06ade297f06f14b1646dc66cf282ca33cf458990ac6f3c071503a7932c19b9c48043f7d"},
					{"0x4da51c8bf1b1c0bdbf2c7825ef3b1fdea3b7fe74d8f897a874b2c4ca00b378d789d36d51d1dd7da1d548867183f030b9670a67b481c8fc587e8d9b67f363a4a0185cef41f30caa824b6e9411dd28dad32434ed655c99623e00314350319ed7"},
					{"0xd678e47f25725d1140f98408eebb2bf4db0ea59317a2e77c4ffa7f5e9c346d01387f79c929418fda184a7276209c9b05ae0b9a176d9757100b3713e1098c0ab035ad8969adea919a6200a879e27f01d2e5f2637dafe1ab78e03ac41fe61f71"},
					{"0x5d25a1d2d6b36bce592661279a360506c0422e78491c50618be960b85a7754b3a2fc8773c11d48c73cce13c69c5779d336405c1e236474d499fc63f0200673c4de4ee42dd2f2f295dc48d093e671b13eb94bb2a9534bf739c4a19098760a7b"},
					{"0x4fc12158207d5bd8cce8d1ea3f5c39517edc59e368546db2527caa4d5435654fa55fe40851cbd6c51c0ea8a22fdc4a5c0c180b1849b078b708a83b0f58edce813c6fd60f8d55063343a94722d0185cd273db90cc68a8daa7b2e2031557671b"},
					{"0x31c9b9108620d96f550a9746df4c3d85583fdb9d2d0f68a5bece080110ee8014cebe83083d1faf3b9389969a2481ebb2a98a90b207abd3743414a7365368e689738bdf5ba4b922d15f5dd1e2c40fe9565ad6338b0799d81ed1399106858606"},
					{"0x1117948c172e353417c135bb8d8da0d60ad5c7a0134739917b9f4eac2962e531e85faaf3642bee15183c801da80af4ca79e14256eb769421adc15349fd7a64d945f2916a9e673fcb5bf70f115045a314aefc405e3d277514bba37e932c814df"},
					{"0x3c242e9ec4fbecd4bb2508c41d59c4b626cf707a0bcee49bbec0b8a4a2777c5763c1ac8a0fecb629123f4c9648b5ef86fc81d40ec29525105ab3852df29d4123e143f005ca3445d6a5bff17dfff186eb5f4e257790dde0f1a0b35b7c519b02"},
					{"0x12004baa7bf2797052c48564d94448af483b791a8a58bb0fdfac7206aa30d90a19c75fa26826f6c0e50883fb357d08a13eb13f7b5c64a4a25dcf61cd4c2c04de84df8239a04ec26af80bd483d5843ba5e761284263c974e3877bc21f1dbc197"},
					{"0x40fb8a400112da16c9c847085bd345e2ce2b11e484e5b3361e5e12b0e9b99eef6e1a527cdd123882805d27b8c39737634b9ba27e953a7f26e7bbbaf3a92eaf7cc3496b7505c67958ef08de00740cf7168bb49e7be687c65630847ec9cf64c9"},
					{"0xdb841e9665a8721fbe1361196f1abffbaaf8e61aa13128b8595719b3f8fb1cbdd3b350ca0de1c3188ef820ad8490998744bc8a5e177284ff0d43c84428deee9d41f7f1a042eefb03d02cdcef7653fc6be44f80826df6dc54146f14e3aec5cb"},
					{"0x86d23a6f45e1098d00b8ffec6b12be016250481227e1f2d81b90c3e1cda0ebd2f4efdf381c8bb523f227f275bb681f78a6c95523259720ac3723be36b282cf191288be453008a231c23b67db1eb959d0e149a8135000c5b44ffd1ca5c2439f"},
					{"0x109f5d1ef11a74270bc231cf7083d7278ba957f6d56fbfb3e8fde415ec551664198b8505ffffe1e15dd118b0a4331a8c17a3b98b50643e84dda3165037e42bb9c6019281a3f4be180a738fcb5168c9d76140a06e27d5089ba7f377b9132a05d"},
					{"0x1f274511e3255d4b4a9ad16cce613ed711a05c14758fc9493891cd2d7648807dd6e4556cad36a50945e3e31e4056d27cd49d3dd9ad86701305943bda400c3751bb082764aeda446723655be92a8100fe76f0c7933540daa8afabdc002806b4"},
					{"0x59843e330375000405b054eb5a19aa651450f2c5e26bfaa5032ad4778fbfad597a13691eb8576642f74dc05243b74750701ca40bd7308dae55746104e41cba2226d91cd70b541be8944e403b8930c835f8fc924f556f0274dc8c241c1b1fec"},
					{"0x171ec81a25db9e6028013ed9a5456bb33310e6d3198f21a8e7cf9ce447f30b8830709b9888078e38d676bef24209e26fc81cfd8b80a13d17461841767498fb47afd44ec6239c843f1312f26b0c8025f05f13e8f68db73bba437745b394b0aa"},
					{"0xd1b60042578201579ee9af7daf134f171ac865a3c7165f7a5732ad4a9f2bd301d10e4fee128e96037d468e035e418c46d3c9a11d00622b09d61761fb05f99f2aa2a9ce622cda95c2b321122e7e5c5a1f664e1c44fe46fc9db8a745eb0837af"},
					{"0x6bded64c75b35c01a8313a4bc6695d762020056e0fe4d87677e9088d5cf5585c8482facc8637ee4e619906637a26245ee4694f78d1afd6cb0071844e710d7498e924478db66d35e1f8eb480537873ace7d72c4cce9c5e409e93fd19cb4390f"},
					{"0x409e187b5c36bc9b744db93e60f4f26fe820f8f9ac1731a4ec4220adb0ad1d92b89b69bdabc9bd1db1b99d029c083a5345d9b8681866f3100a77a5e69a9616a7142416b98a84f701740c4f95de3cdda3a198e9861b6cec6e26255bbe772da2"},
					{"0x10366573a3c6655de24305051f27ed68efeec35822c0137e5e2b286cfb2c535c78ff42dc67539545ef780f8cbd8044e9f96e58387cc4f1ebcc1fe836cf359d02e71eb64eb313279edae20943c0642d57338e60b031adfd4bbb424dda4d2872d"},
					{"0x4146d8d1bb6cb1c43ded16f5c07010cb808fa767a0b59047519679124a5a1ab4a1f2cee179146460ff296440254807b842c968e364611b56d0ce862f3e4f79a9d3dc0d7f5c0a3aec81ace2208b3d6710fded09f7864d29bbef79886571cb09"},
					{"0x8f94d7b08b0685963d24fc8b9281d6c290a4124e987136973122a30db0749c48ffc8fdca733627914344dc1077e20be895e36ba93ced63e9792812913c9762277d8556ebc293c4cfe6f89c5f7358e9284b59c1fbdd37b0e066cd8bf282b1a9"},
					{"0xae19c1dd2ea2e1f7a7e0a05a24945897e533f3bd719347b3050acf6d68480a01d574f10498145d27d505bdeb3bcb9bcf931275c48c6e1a4f18a46b7c03d9c0bd458032e2198b4823371c9ced7c68826b05a1b94f09bcb2e16217baf4c9a2b7"},
					{"0x3937cfd56241d0c6ece2dbbba9fbf5b7e5e4432feb90c2641baa78ee87828a5c3659d9f06dc762dd5d91cb5fece510f4d29802513a25db34f734d4338a4e473fb50e4cd4617ed3a93f2f00f00d543522dc42a4255be811e68869ffcf502f13"},
					{"0xf056010b5a01c99c3eb8515f0c20cf81567cdfd453df66412443c4853dc34a994126d11fa6c1a59c5b3de3d5572c95cf0daebd76733cd1a61436adf73571077dfcd4ee452ef07acba0fd15371473f7c7127b4dc1f97da8227b87dad9530dfa"},
					{"0x1193e22533f0c5ea8a191ae0ae6055d62c68c59d05e3dd03eb343777b3615485da3ea5174759b34b9f486f97b6657580d810f573e57ed46c8649c002a6441c3666526fe8f7140b870760ca5be04a3339bdfc10d996752c61819e18d862f868c"},
					{"0x788926be987f1259c031ac18dd6771beef4ff0580dcb455bc125fe1385113df0cbff993559f55752ea1502a3e8e84087b4f9531a48e939cdf4f41f31a10198e9a82cb07f0d78e82deb8aa18cb2e3cee5319d4df2fe4f4bf69201e84fd2f575"},
					{"0x66be610c58e904d4b5827f9b746ea5fcdf60f2e66e1ab240fb5c65eafc982d5e3eec9134d29b991497cc387471e05462a1925828c6e296c6f1a965c209f33e48cba22997fb02d315c63aaaca45b6ef7c0beaa2a96da60e839cf4957d6bbcc9"},
					{"0x3487a8ea28fc7b67a089b3e70e5eb268ab99485f31d1c7d7f281853c4e0d1e7d9e0c9521839d7286e6e1729df7da275bc576bbcf8b1e00d1e2f996150fbc725b904bc0077173d29ffcfcf6e03469176987f60ba39a8f6ee0c29d448a7a750f"},
					{"0xc68234b4d6bd5a4a37d13151f8e0f13a90cb6ce91d72e9ae916b2a29837bd01e5d4ce2adb1d90e883a1f6b5ac9b25ff7a37cefb7d9e29fd88ec1e9f3578cda671ce824b3253bc69319490268f60bcb93de665904d44acf45dd4c19861070f7"},
					{"0xe84f9cfffdd42f1f808768789dbcfcc30a49ab979995fda69cdf696e4f6b8d453573937c1801d258fcfbb3836f79e39ffff9f88084f61369cba6ed1f84bdeda53f1d7615f2971ad92d6ca0aa810ee44e94c6c5df4aed9b849eac77e0ee83c0"},
					{"0x496a56f15bd023ff76aad9ec934a63320f3eb03b60d13cc7bfa0b88d00a6168dccec5cee5fd2b01e059a414a876a757f502701eb366739350845b04410654aa1027e22511ca88e182106cca0b8f36489af9fd429a7e7b8b57030689b11f45e"},
				},
			},
			YMap: RationalPolynomial{
				Num: [][]string{
					{"0x5d38ef6582e5d7a838009ac71ecc25a6c64fdd19f4bc0d74af29b637cf51a14f40aa1bfc18a0f412ee1275c5211795d5dabcb7f7512dd4444f8725595ab965db9a2a330376fd7467616cf35fb20d8f65c93d02c1ee651929bfef3a02010998"},
					{"0x4dc036c1f4c016a18f48ccaeee3d1fce48ead68ff10b5d267a4e8090ef866a3fbfc9c826b1794ee575247585a3ee598e23e636b0e4f8a54b1bd182ccae0edd530e76c56b88bf2af50ac380ae79d88debeef0b16ca39f174df39b08284a51bc"},
					{"0x3032bb517e9743a55bb8f645f20cc63ceb8e92584534d6b157d461483dc394441df9ffd30fa13a5bad96c22b1ba1c0bb6f88899d3133f4b56cb1fc503627425bfe13de5eed7f9819a9afc6944c7537df20aafc097ad6650d17ae743d1cee77"},
					{"0x971c6e281c15dd21949eebccdb904c1ce2ddb0e4b541c93acbea7528285822fc660b6fdda6b92cd4872bc83ee741775f2d9c3a5765d7e70ae7ba2de60c3c73a1a54ccafae655deebaab1c03efa9bea4f5f51a718088eefe57f0292b5b14798"},
					{"0x7ab3de0b6540aac0819b8e9e40d8ab1599106f942af09c137f4242c9c26ea921dd782682c76b266b6e44cbe3843b0ad523e02a80d2af69efa3eec5c39e58566df3cd8157a20ca4c7383eee7b2c32f2459464abd5b9ffd5351c3d881a41dcf6"},
					{"0xfaecdb4a216f5c7f32b59689f8faa85d747f95adb8920419474afb8d55def7b52682c26fba23bdea292ebe6076a67e9ff4740cd2c0d222dc90412eef46c7902dfde4eac64e1d7399d4e2fa756be80bccca12b9b64f0bd9ebb616458aa651af"},
					{"0x8397c87fe6e56393d59e832cc69bf1daa706aff0f68f038d9cc3049d41dce6557e412256d8cc41d57deeff92852eb959fd7d2e8bbc39a3bee17b956ba9645f05e5cfa1fc66ce57d80cdcc9ae937c26555f0c238f158150aa6aab8494457159"},
					{"0xfd13e17f5b33195a3e4c6d3ef8d0fa3de081bf635cc38b22101eebbc673ad40e5212a5cae0285df75c6769b83d84610f3ea9b5a93dd2081ceb23cf5834c7efb2e39153e8d40277887343b630410b7581b9629a92f85236e04d1aa471383f36"},
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					{"0x64a3e6bd3ee53dcd1ae4764d398d44760b5c5192d0745d71a452accbbfd3f0f9f106f9866b973d599c20c64ec4b9311f4ec1b991ab43b5b23e865875b56926456fe6399c3f69b7cf8d3bbf6254aef3c137e16a22792898bdf6265a4275368"},
					{"0x6e1f826a09b835ff320046e2dcef94cb16de08591139db2b9f7114d380f921d4b3628b658fbc082d086761efcb1fb03ef83a82e0d19ad5cf8c6888661897eff183bd3379aafcd524318a32f1156d16ce876fbe3e7bdb951028489ce89aee8d"},
				},
			},
		},
	},
}

var Curves []Curve

var SECP256K1 = Curve{
	Name:         "secp256k1",
	CurvePackage: "secp256k1",
	EnumID:       "SECP256k1",
	FrModulus:    "115792089237316195423570985008687907852837564279074904382605163141518161494337",
	FpModulus:    "115792089237316195423570985008687907853269984665640564039457584007908834671663",
	G1: Point{
		CoordType:        "fp.Element",
		CoordExtDegree:   1,
		PointName:        "g1",
		GLV:              true,
		CofactorCleaning: false,
		CRange:           []int{4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15},
	},
	HashE1: &HashSuiteSvdw{
		z:  []string{"1"},
		c1: []string{"8"},
		c2: []string{"57896044618658097711785492504343953926634992332820282019728792003954417335831"},
		c3: []string{"10388779673325959979325452626823788324994718367665745800388075445979975427086"},
		c4: []string{"77194726158210796949047323339125271902179989777093709359638389338605889781098"},
	},
}

var STARK_CURVE = Curve{
	Name:         "stark-curve",
	CurvePackage: "starkcurve",
	EnumID:       "STARK_CURVE",
	FrModulus:    "3618502788666131213697322783095070105526743751716087489154079457884512865583",
	FpModulus:    "3618502788666131213697322783095070105623107215331596699973092056135872020481",
	G1: Point{
		CoordType:        "fp.Element",
		CoordExtDegree:   1,
		PointName:        "g1",
		GLV:              false,
		CofactorCleaning: false,
		CRange:           defaultCRange(),
	},
	HashE1: &HashSuiteSvdw{
		z:  []string{"1"},
		c1: []string{"3141592653589793238462643383279502884197169399375105820974944592307816406667"},
		c2: []string{"1809251394333065606848661391547535052811553607665798349986546028067936010240"},
		c3: []string{"747120397548504753672821049844706693752799645928246271384591722031176001048"},
		c4: []string{"272520077186478842991245371323181269386250180546566216570369979330317493608"},
	},
}

var TwistedEdwardsCurves []TwistedEdwardsCurve

Types

type Curve

type Curve struct {
	Name         string
	CurvePackage string
	Package      string // current package being generated
	EnumID       string
	FpModulus    string
	FrModulus    string

	Fp           *config.FieldConfig
	Fr           *config.FieldConfig
	FpUnusedBits int

	FpInfo, FrInfo Field
	G1             Point
	G2             Point

	HashE1 HashSuite
	HashE2 HashSuite
}

Curve describes parameters of the curve useful for the template

func (Curve) Equal

func (c Curve) Equal(other Curve) bool

type Field

type Field struct {
	Bits    int
	Bytes   int
	Modulus func() *big.Int
}

type FieldDependency

type FieldDependency struct {
	FieldPackagePath string
	ElementType      string
	FieldPackageName string
}

type FieldElementToCurvePoint

type FieldElementToCurvePoint string

const (
	SSWU FieldElementToCurvePoint = "SSWU"
	SVDW FieldElementToCurvePoint = "SVDW"
)

type HashSuite

type HashSuite interface {
	GetInfo(baseField *field.FieldConfig, g *Point, name string) HashSuiteInfo
}

type HashSuiteInfo

type HashSuiteInfo struct {
	//Isogeny to original curve
	Isogeny *IsogenyInfo //pointer so it's nullable.

	A []big.Int //TODO: Move inside IsogenyInfo
	B []big.Int

	Point             *Point
	Field             *field.Extension
	FieldCoordName    string
	Name              string
	FieldSizeMod256   uint8
	PrecomputedParams []field.Element // PrecomputedParams[0][n] correspond to integer cₙ₋₁ in std doc
	// PrecomputedParams[n≥1] correspond to field element c_( len(PrecomputedParams[0]) + n - 1 ) in std doc
	Z                []big.Int // z (or zeta) is a quadratic non-residue with //TODO: some extra nice properties, refer to WB19
	CofactorClearing bool
	MappingAlgorithm FieldElementToCurvePoint
}

type HashSuiteSswu

type HashSuiteSswu struct {
	//TODO: Move into Isogeny
	A []string // A is the Weierstrass curve coefficient of x in the isogenous curve over which the SSWU map is evaluated.
	B []string // B is the Weierstrass curve constant term in the isogenous curve over which the SSWU map is evaluated.

	Z       []int // z (or zeta) is a quadratic non-residue with //TODO: some extra nice properties, refer to WB19
	Isogeny *Isogeny
}

func (*HashSuiteSswu) GetInfo

func (suite *HashSuiteSswu) GetInfo(baseField *field.FieldConfig, g *Point, name string) HashSuiteInfo

type HashSuiteSvdw

type HashSuiteSvdw struct {
	// contains filtered or unexported fields
}

func (*HashSuiteSvdw) GetInfo

func (parameters *HashSuiteSvdw) GetInfo(baseField *field.FieldConfig, g *Point, name string) HashSuiteInfo

type Isogeny

type Isogeny struct {

	//Isogeny to original curve
	XMap RationalPolynomial
	YMap RationalPolynomial // The y map is also evaluated on x. The result is multiplied by y.
}

type IsogenyInfo

type IsogenyInfo struct {
	XMap RationalPolynomialInfo
	YMap RationalPolynomialInfo // The y map is also evaluated on x. The result is multiplied by y.
}

type Point

type Point struct {
	CoordType        string
	CoordExtDegree   uint8 // value n, such that q = pⁿ
	CoordExtRoot     int64 // value a, such that the field is Fp[X]/(Xⁿ - a)
	PointName        string
	GLV              bool     // scalar multiplication using GLV
	CofactorCleaning bool     // flag telling if the Cofactor cleaning is available
	CRange           []int    // multiexp bucket method: generate inner methods (with const arrays) for each c
	Projective       bool     // generate projective coordinates
	A                []string //A linear coefficient in Weierstrass form
	B                []string //B constant term in Weierstrass form
}

type RationalPolynomial

type RationalPolynomial struct {
	Num [][]string //Num is stored
	Den [][]string //Den is stored. It is also monic. The leading coefficient (1) is omitted.
}

type RationalPolynomialInfo

type RationalPolynomialInfo struct {
	Num []field.Element
	Den []field.Element //denominator is monic. The leading coefficient (1) is omitted.
}

type TwistedEdwardsCurve

type TwistedEdwardsCurve struct {
	Name    string
	Package string
	EnumID  string

	A, D, Cofactor, Order, BaseX, BaseY string

	// set if endomorphism
	HasEndomorphism bool
	Endo0, Endo1    string
	Lambda          string
}