parameters.py

from .hash import Poseidon, OptimizedPoseidon, HashType

import numpy

def case_simple():
    security_level = 128
    input_rate = 8
    t = 9
    full_round = 8
    partial_round = 41
    alpha = 3
    poseidon = Poseidon(prime_64, security_level, alpha, input_rate, t, full_round=full_round,
                        partial_round=partial_round, rc_list=round_constants_64, mds_matrix=matrix_64)
    return poseidon, t


def case_neptune():
    security_level = 128
    input_rate = 3
    t = 4
    full_round = 8
    partial_round = 56
    alpha = 5
    poseidon = OptimizedPoseidon(HashType.CONSTINPUTLEN, prime_255, security_level, alpha, input_rate, t,
                                 full_round=full_round, partial_round=partial_round,
                                 rc_list=round_constants_neptune, mds_matrix=matrix_neptune)
    return poseidon, t


prime_64 = 0xfffffffffffffeff
prime_254 = 0x30644e72e131a029b85045b68181585d2833e84879b9709143e1f593f0000001
prime_255 = 0x73EDA753299D7D483339D80809A1D80553BDA402FFFE5BFEFFFFFFFF00000001

round_constants_64 = ['0xa874f1651194bf2', '0x8a33ea4b1d922d96', '0x11badd07168d87d1', '0xefc1185fe235753a',
                      '0x75711475cef37a6b', '0xfe2018febde04894', '0xcd5093e1c9d8c8ff', '0xd0b64f6fbd9e75c',
                      '0xbc6efcefe1fbd9e0', '0xeb0954505ee0940f', '0x68fa4d1c34c293a1', '0x4f1e19dcf109ce22',
                      '0xcec0792c731e87eb', '0x66ada74aa0b6b8ae', '0xedf1a0e8a9867747', '0xdcedd33a20b2fef2',
                      '0x2f0dc0ab74e5b75', '0xcafe1f18d4aa6d68', '0x33db89298f49a93f', '0xe05259d7010dcc26',
                      '0xb8b6fc9a3a7cade9', '0xf5d56d0a51405ec1', '0xc16bfb1759238f40', '0x75844914394afcda',
                      '0x55571ce9ee8f69c8', '0x896e6767f999172f', '0x1fe7b3146aa88997', '0x81ea9a2c7d05d99e',
                      '0x6532f588f05b211', '0xfac220d96e24707c', '0xa8b463cdf3a48b52', '0xb8269d7801be7d38',
                      '0x407507fddd8ec4e4', '0x9fd670bff9c56a62', '0x1cf21e354bccc3a7', '0xc7085c67733a84f5',
                      '0x7215df6f93a0baa9', '0xbf4020118826c754', '0xc4187574b11790ac', '0x119a2fb9f8df0279',
                      '0xb5d582747470c4ad', '0x594fa625a6aa9589', '0x943821e188348d51', '0x4a9f119da9e3a429',
                      '0xe0323f26be059812', '0x36e8d53aa2bf2a61', '0xd2d58ab39f2a78a5', '0x1f48bf3defc0b6cd',
                      '0xfd73f564888d53b2', '0xca759d577d56c0a4', '0x84d926e9a264e71b', '0x40b8786917067038',
                      '0xe975bd33ffe52d3a', '0xb1ef0dc4eb735751', '0x2a0393e34c779794', '0xe8a0b8a83ab98c17',
                      '0x6214a9663e4d7be5', '0xdc70061115d3c0b4', '0x75fbd72f66813cfd', '0x3ce69d467a48249b',
                      '0xaab2221e87f0ef4a', '0x69fa6fad79c6e15a', '0xc2f01c105acc1418', '0x85b02af15666735e',
                      '0xbb3a9b6cbc0db631', '0x4b44221ea2a6bf6a', '0x185038b190981af0', '0x91e815a3e2336406',
                      '0xdd5f1d3b9c51abd', '0x9101c68fcf3129c2', '0x7c42b49383a9cdcc', '0x169119786077e5fc',
                      '0x51c2c68d37e5d2f4', '0x5c338b02dce6bf95', '0xdf3523f74a99e74b', '0xce590fd099a855a9',
                      '0xa47552fbbcd9f062', '0x1261825026c433b7', '0xd2b788f70cba2cb9', '0x22a297f8e9b67ff4',
                      '0x792b591828eac2d1', '0xe2463a5cd8501657', '0x9becac6022d03149', '0x1daae18570ec9846',
                      '0xe769e950a2493a1d', '0x291fef31e5bef3d4', '0x4aeba4bb4ac8ed14', '0xa87b99bb1ac84fc3',
                      '0xa43cc2b3c668dec1', '0x55ba28a82e0a4874', '0x888aa9f99ee693bf', '0x414013b258b3a85e',
                      '0xb2220e916bbb415b', '0x29310fc278ee378a', '0x8866e1fd85725b1d', '0x75281c110993bb9e',
                      '0xee60d98aaba54ab2', '0xf9cc1b36043758bf', '0xcfa641d72045893c', '0xf0188b1eeea3d4c7',
                      '0x3a97faf1a0cfa9fb', '0x9ccaf67e701c0dbb', '0xaa43be6dd8ce11b0', '0x7d60bc23c93fc756',
                      '0x5321bd80be653d79', '0xa1455327f5ddfff', '0xfe04a65edea08beb', '0x7c5a457d0960e503',
                      '0xffa22cccbc50185a', '0xebba68722dfeb78c', '0xbc93cd4eb399f34c', '0xfb38ff261b853625',
                      '0x67c248e8645bd531', '0x3a10da71a4a57e2a', '0x4ea9d70a1bb2063c', '0xf2237119f88a90e6',
                      '0x99e0f3b990cf298c', '0x7a0558d4776f376c', '0x826b2605592c9d70', '0x47148ab6bfa0c0ce',
                      '0x1e1843493c4e29b7', '0xd9eabbda06578435', '0xcc4af1376ef3e7c5', '0x72e01100d6e69de5',
                      '0x568275cf88235720', '0x3bc386793b543b7e', '0xf5f34b0325bcb0d5', '0xc21117e5407dd5d4',
                      '0x7f9e88fcf6cd0a43', '0x544ce30c9e92816c', '0xc35f50a7af625622', '0x946d9b16f712499e',
                      '0x4d575443d672f0d4', '0xebb5a87f7bf53712', '0x8e3da0152a8f21ef', '0x2c0e27f416072259',
                      '0x63c2ef08b9bdb2d9', '0x41f616c48ba84212', '0x46da2deebe919b9b', '0xdb01aeb904b32ab1',
                      '0x2ffe56e398ee43f3', '0x0af38a2cf366f6', '0x971041db7a263b48', '0x2ce919b05d19aeb9',
                      '0x868f8dab348ad253', '0x149bcf6541f0a46a', '0xfc83c40c4734d4c', '0x91ec053a3d6a7fae',
                      '0x94e6134f14f5df9f', '0xcf991c5827387ef4', '0x49b75b5843420e59', '0xdc09aa0ebf6edc90',
                      '0x9ba1c8bedbcfd833', '0x38420376e9e5353d', '0xa33777164b7311e8', '0xb6921f131f9a5870',
                      '0x355426c49620d027', '0x4f4313ecac723cfc', '0xb86b5e8b18eaf8b2', '0x42e570c2874ac409',
                      '0x8841071b28d6731a', '0xdc88dbe0a9a5c07a', '0x9dca00dcf7628ea5', '0xde3f97db644bb6e9',
                      '0x12d2c3ddc4a5bc4a', '0xdb2484f79c48d6b6', '0xcf1522813044796b', '0x6aae883064912cae',
                      '0xc46070eedbf1b303', '0xf5033a90f7d15b8', '0x59e5ab30c37e0b0e', '0xf82d3148e0bacf51',
                      '0xd8ba0c59c76548fa', '0x42603cef5609fa2', '0x6c0349c0b4149032', '0x89bfcd426c9a1335',
                      '0x6db9466fc7d75720', '0x7db81f262ba357f9', '0xa8521fbf8477befd', '0x90dffe681beb8a0e',
                      '0xe9ad7fcf1ec62b88', '0xe8da0923d3c4e2af', '0x2c8beec5a52c710a', '0x50e63b09474d41af',
                      '0xbbfe24ebe0a74200', '0xc7aed3142e8cd6f2', '0xeb4d3ecac0df2e84', '0x685fd256e9ca872',
                      '0x88e9a6182df933a7', '0x2fe3f0ff336a967e', '0xfd50dd2adb2fa516', '0x7222e12f8fe9e06b',
                      '0x1ce73976d273a5e', '0xfdebb2266a29aaaf', '0x812fc5483a4d8c75', '0x5f3446183464a474',
                      '0x5177b697626bfff4', '0x357935774d0dc898', '0x274122702af1601c', '0x726b051c90366de6',
                      '0xcaeccce82a4f0249', '0xb1e541f075666f7f', '0x7d5aef9cc609e1e7', '0x7719fa1cd519afcc',
                      '0x10d3d4949e9cd28f', '0x94c64c3469978e1d', '0x8a5aaf183b47e186', '0xa5003c7841000029',
                      '0x78a3be28163cb6ea', '0xeab04e2f120f2cd7', '0x94a63e223736a667', '0x38cd07c188d91608',
                      '0x831202e4e8d74713', '0xb0bbb1474209bcc5', '0x2932d00624d6e4f4', '0x1ca2b65a46c786ab',
                      '0x5dc396a3e5565d15', '0x1b2622af53a26f3e', '0xf968f16f119d57f0', '0x9a7247d2a1e778ee',
                      '0x537c1c898955b434', '0xc1a21dc28bb73c05', '0x5a6291f854533370', '0xd02c94a5c62c37a5',
                      '0xba8045140c463afb', '0x2fb9b17556ce2a84', '0x25207866d14233ba', '0x93518201f627b080',
                      '0xd183c595ba94e7fe', '0xfe0cba8dd15b2c9e', '0xfdb7731824840ca3', '0x37171a7a96de5df9',
                      '0xd51b2624b7ce8c02', '0xdb9e655f8a5c96ee', '0xa6e242b2c610cf09', '0x804a9c6f146eccce',
                      '0x7092965b114b73e5', '0xc10c787397bfae88', '0x3bb965a1c733b1cd', '0x322cf094cbd3bd5d',
                      '0xb779264c2ac8fb73', '0x97e49fb402af65e1', '0xfe981df5fe0374f5', '0xd3981dc9d4840b97',
                      '0x2e5940d13465c8b3', '0x6dec3ff963bfa863', '0x9c91fbd842263505', '0x907639eb1754898c',
                      '0x642409a7c2e01228', '0x6336a2b8591acc31', '0xb1b7fe2d53f33bd5', '0xa037075ee301ebac',
                      '0x2a6bb2df5ad1caf7', '0xb14b6230a6883c9d', '0x8c74af2069b280c3', '0x7713fb7476805c60',
                      '0xf3d393af73ae1264', '0xd288481cb411665d', '0xa093c437c6313847', '0x94dda35a9ce12f91',
                      '0x61de153aaa7567e', '0x690baf9a1fc53347', '0x92d20b458a426610', '0x984ca2ad660f7a9a',
                      '0x2a5fb97367f2d0b3', '0xee42a2fd41eb4a09', '0xc0022a66a734a4ac', '0x1d1609d43e792aa7',
                      '0x1bfdc71e2f790e26', '0x21204199f4d73fa7', '0x22c42227ca30c539', '0xbd1e6eaeef34b5f7',
                      '0x4f8aa2de294b1653', '0xd64110ad4cffeeb3', '0xb1d31a168f743c7d', '0x8d5ed585605eba4b',
                      '0xe0b2a4e10f5313e0', '0xcc0e028f37461245', '0xae90fb77e5f6dcce', '0x1a24cc2ba4feeff7',
                      '0x1191df300e59bc86', '0x9bdb3adbf8cdb730', '0x9cefe092ca8c3ce1', '0x57d2a012ab52c3e9',
                      '0x18299906f0fcd68', '0xd7c41166100ec8bf', '0x3be2dfbedf457cc5', '0x588be88b4b360de5',
                      '0x8c879f57afa28b1', '0x6ab132cd9a81ce55', '0x20f5b5f1b7f39f52', '0x12c40089d119c07b',
                      '0x23c7d21226cbb14a', '0x22374c3017b5770d', '0x3af1639ba6720ab0', '0x3123c109fc31dc39',
                      '0x2e6f3a9ac042c46d', '0x9df0b21456dc5d6f', '0x2c6831e29a80bbe2', '0x269be2fadfe7238',
                      '0xd311822424bb14c3', '0xa1ad09ba3e367d47', '0x7f4d5d3aa7636840', '0xec5a124a8474de68',
                      '0x3fb72cde273da11d', '0x3867e9b9f1e7ed7a', '0xdb20bdf8fd26e9d2', '0xfcb07fe2d74a991d',
                      '0xcc39ba33ac3d3218', '0xcb8f1bab94327b99', '0x4ee5c6bc0fec33f3', '0x48cad5854daef5df',
                      '0x32e56ed90c0bf597', '0x7fa3d0278f1ddba7', '0x38eed6f56275bc70', '0x5c2c94f7941a7195',
                      '0xad3300c9be203d5b', '0x47f9b54e19dd70ff', '0x28f165fc3c0a38b2', '0xcd078a1e3914720d',
                      '0xb0292faa0a30ecfb', '0x8b156b2bb228b09d', '0x7f150b371350c5c8', '0x861ad9b88a8b20bc',
                      '0xbab24882bfac56f5', '0xf124cffcb0e54e27', '0x2a7ddaefd75e32e0', '0xde7900dab55b7634',
                      '0x1271d39e56eb6767', '0x5f225b70aaaf3bc3', '0xa34810cab345b5a8', '0xe992eca39be06bc5',
                      '0x5a7f7e0bd08ac9e2', '0x8ee415632900971', '0xedcd736cbec54a9d', '0x411ad3517244a0b8',
                      '0xc91bd329bd9c9158', '0xfff5474cf4b90b7f', '0x37426488827e8968', '0x5a7b524f7141ee8b',
                      '0xb21aefd0805fdb02', '0x52a492d60d748675', '0xa7f358beea287438', '0xf9778381646b03c3',
                      '0xedfc6806166e646d', '0x3c801b075d6c6a6f', '0x41b19d3de208eb55', '0x7fe6645b54dd3785',
                      '0xa51edeec7c0e76fc', '0x73172f9885641886', '0x497482771de7b930', '0x99903e2bee203eb8',
                      '0xdd5f7a2a7fb920a8', '0xef64bcc43ae9298e', '0x3a660f4058c0b2f8', '0x39e2557c3d5ba046',
                      '0x12eee1b789acb623', '0x483aee1fa5cfaa37', '0x12b64019b4f5ec91', '0x433cb4b7ebb901fc',
                      '0x5eebaa6b0e1c335f', '0x4620fd9c932525c0', '0x996f8c731cadd6a8', '0x132d6b989f39b671',
                      '0xe605299fec19ec81', '0x70880657478274a0', '0x4dd5b8045c2d0ee9', '0x24db9de73c947eae',
                      '0x11ae6d90393abf63', '0x9e21fa1151b065e1', '0x96a85cb00ec52124', '0xc1a634451c1fe521',
                      '0x226b38645f4788ad', '0x704f6ba93450113a', '0xda5bc2ce856a8426', '0xaef23748257f6d39',
                      '0x2fa3fa7bf3395310', '0xa14289df5d146896', '0x8563bb02391ce4b', '0x8a3adc02f03ae637',
                      '0xd6f5d51772384bdb', '0x8939414aabef88eb', '0xe5bf64f620b030bf', '0x4f84a20c0196e291',
                      '0xfc7ce8ff557a79d9', '0x194b62b29cf61abb', '0x456e62e4820a0bdb', '0xb6893a06f9c8e446',
                      '0xae2f3a88b7df853', '0xbba2f53a54100b6c', '0x1c7173ef369813b4', '0x912d4021dfe3d8f7',
                      '0xcf2495ab22ff91a9', '0xf1b7dfde52bd14b0', '0xad5d0bd7df283d10', '0x5bf54104d3e8946',
                      '0xee9a263c5522a2be', '0xefb8b0b00a746a16', '0x23f61607c2db7a4a', '0x18156a9c1a2129f1',
                      '0x94513ab0b7d46f74', '0x7192173e16e8d4a3', '0x91ec7e12616e6aef', '0x2e4e3736a0c0a3e5',
                      '0x461c1e78e1821dab', '0x87bef967775aff7d', '0xc164378ccbee44c7', '0xa94eda7198bff5e0',
                      '0xfa73c869f77f0c93', '0x4a631274feb61d54', '0x3e09e0b464320289', '0x38405b6240443432',
                      '0x62883949bc820ff4', '0x77f5437c21efe442', '0x6f27697fa9886957', '0xc73cb63377c256dd',
                      '0x13a1fffeb6b8a48b', '0x3a0184cbf159414c', '0xbc4a0dfb06e4c88a', '0xb656d8ae420001a5',
                      '0x2fe8957285f175c', '0xe42cf961309efc9a', '0xa29fe9b8c00efd3b', '0xb3322a91c83e951a',
                      '0xf31b2e55346c1ae0', '0x6d57ea736a5788a4', '0x7922e7364f4fd7cf', '0x528a69c4272c68b6',
                      '0x2595793290e1a3d7', '0x2177f94da2dd9e41', '0xbcde6f9d42c563ef', '0x8c53e86374394f01',
                      '0x2e05a16eb845a8a7', '0x24eab70429a820c6', '0xa8a27fb3882b2cdc', '0x7c3940f00d1c1dba',
                      '0x79282d37e0624616', '0xa1ace9ba2355213b', '0x6327ef00b0d30a0', '0x6019f164385f7e22',
                      '0xe4261e7a681dbd0c']

matrix_64 = [
    ['0xd0f90449f141a03a', '0x7e786e3c01b46475', '0x9d845622e36d87fe', '0x85acd9c81446e876', '0x908500e30cb13fbf',
     '0x33510de023baef18', '0xa4f0fb9dac688d82', '0xe65b1572da0991ba', '0x70449b75736fe86d'],
    ['0xde9cd1600c961f10', '0x7b94ca547d41b687', '0xad4cc3702545d88b', '0x3434702e96566da4', '0x8fd9903afcc0ed6d',
     '0xfcca503e047419b4', '0x22ff797ef444ad3d', '0x80bd4941dfa3df44', '0x27eb8baea29fe272'],
    ['0x232f56afaa9cb1ba', '0xec6af281f7bf9997', '0x464c0d3cd39eabf5', '0xdfe4b3cc13c0fab0', '0x624db025685a69a1',
     '0x856bbba1c85ad167', '0x127b1ed684a7f918', '0xa973036074f99e27', '0xbd681100c639089e'],
    ['0xd0c067f20c9849ed', '0x237439c54b70e7a8', '0xe859e7be8d8e1f4b', '0x229f3a469b63a77d', '0xc4425b27f12f214d',
     '0xfaa979322eb88b03', '0xa7d81b02eac355c', '0x55e5956ceed0220', '0xae8f0f63a4aeec0f'],
    ['0xe4a2264e682573b8', '0x3a8e5dc1b47546a9', '0xbf504eb11b946fea', '0x5e20fe6931b3cdba', '0x45c4f15dd42d6804',
     '0x3497ff9334010f1d', '0x454247d6184396bf', '0xb92c9de37fe52d8a', '0x171cce6c939f936'],
    ['0xf42b17b28d4b6d79', '0x11fe9d657a4ba2e8', '0xeae9bc0199efd564', '0xd58d4f91f9496fb7', '0xec044b014681768',
     '0x55af9ca03d8d49b1', '0x85fbd0ab098fef6a', '0x3741bb7ffcc4f8d9', '0xb9314d7dcfc948ba'],
    ['0x89845da8e9cdcb24', '0x8874a7d8a57cdea2', '0xde562f62637aa59a', '0x6b082b03d36d4bb0', '0x68f0fe53e2518f0c',
     '0xed14f650a86d4200', '0x5e3b107979b466f7', '0x6fd02c9e5f5a8963', '0x54fecbb6233ff946'],
    ['0xef09185bea0dc3de', '0xac3bff714c0bc1dc', '0x935be70d82eabae2', '0x2a9448159d808a2f', '0xd3612efa4d8655d4',
     '0x9b4459a1a189016b', '0x52df80b7d43a1b91', '0x1ce704edbed1b251', '0xf01f0ae6812e9695'],
    ['0x62f0e2bd38b0a7ac', '0x9a9fcd1d25921649', '0xd1c281cb42b33f10', '0x67624b51bf3887e6', '0xab671059dbfd4c02',
     '0xc3da6ec38fbe8d5c', '0xe2c9499a86ab13ee', '0xda6cf9a09c55ba43', '0x589aca3c2e3b8334']]

round_constants_254 = ['0x0ee9a592ba9a9518d05986d656f40c2114c4993c11bb29938d21d47304cd8e6e',
                       '0x00f1445235f2148c5986587169fc1bcd887b08d4d00868df5696fff40956e864',
                       '0x08dff3487e8ac99e1f29a058d0fa80b930c728730b7ab36ce879f3890ecf73f5',
                       '0x2f27be690fdaee46c3ce28f7532b13c856c35342c84bda6e20966310fadc01d0',
                       '0x2b2ae1acf68b7b8d2416bebf3d4f6234b763fe04b8043ee48b8327bebca16cf2',
                       '0x0319d062072bef7ecca5eac06f97d4d55952c175ab6b03eae64b44c7dbf11cfa',
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                       '0x21e5241e12564dd6fd9f1cdd2a0de39eedfefc1466cc568ec5ceb745a0506edc',
                       '0x1cfb5662e8cf5ac9226a80ee17b36abecb73ab5f87e161927b4349e10e4bdf08',
                       '0x0f21177e302a771bbae6d8d1ecb373b62c99af346220ac0129c53f666eb24100',
                       '0x1671522374606992affb0dd7f71b12bec4236aede6290546bcef7e1f515c2320',
                       '0x0fa3ec5b9488259c2eb4cf24501bfad9be2ec9e42c5cc8ccd419d2a692cad870',
                       '0x193c0e04e0bd298357cb266c1506080ed36edce85c648cc085e8c57b1ab54bba',
                       '0x102adf8ef74735a27e9128306dcbc3c99f6f7291cd406578ce14ea2adaba68f8',
                       '0x0fe0af7858e49859e2a54d6f1ad945b1316aa24bfbdd23ae40a6d0cb70c3eab1',
                       '0x216f6717bbc7dedb08536a2220843f4e2da5f1daa9ebdefde8a5ea7344798d22',
                       '0x1da55cc900f0d21f4a3e694391918a1b3c23b2ac773c6b3ef88e2e4228325161']

matrix_254 = [['0x109b7f411ba0e4c9b2b70caf5c36a7b194be7c11ad24378bfedb68592ba8118b',
               '0x16ed41e13bb9c0c66ae119424fddbcbc9314dc9fdbdeea55d6c64543dc4903e0',
               '0x2b90bba00fca0589f617e7dcbfe82e0df706ab640ceb247b791a93b74e36736d'],
              ['0x2969f27eed31a480b9c36c764379dbca2cc8fdd1415c3dded62940bcde0bd771',
               '0x2e2419f9ec02ec394c9871c832963dc1b89d743c8c7b964029b2311687b1fe23',
               '0x101071f0032379b697315876690f053d148d4e109f5fb065c8aacc55a0f89bfa'],
              ['0x143021ec686a3f330d5f9e654638065ce6cd79e28c5b3753326244ee65a1b1a7',
               '0x176cc029695ad02582a70eff08a6fd99d057e12e58e7d7b6b16cdfabc8ee2911',
               '0x19a3fc0a56702bf417ba7fee3802593fa644470307043f7773279cd71d25d5e0']]

round_constants_255 = ['0x5ee52b2f39e240a4006e97a15a7609dce42fa9aa510d11586a56db98fa925158',
                       '0x3e92829ce321755f769c6fd0d51e98262d7747ad553b028dbbe98b5274b9c8e1',
                       '0x7067b2b9b65af0519cef530217d4563543852399c2af1557fcd9eb325b5365e4',
                       '0x725e66aa00e406f247f00002487d092328c526f2f5a3c456004a71cea83845d5',
                       '0x72bf92303a9d433709d29979a296d98f147e8e7b8ed0cb452bd9f9508f6e4711',
                       '0x3d7e5deccc6eb706c315ff02070232127dbe99bc6a4d1b23e967d35205b87694',
                       '0x13558f81fbc15c2793cc349a059d752c712783727e1443c74098cd66fa12b78b',
                       '0x686f2c6d24dfb9cddbbf717708ca6e04a70f0e077766a39d5bc5de5155e6fcb2',
                       '0x582bc59317a001ed75ffe1c225901d67d8d3764a70eb254f810afc895cbf231b',
                       '0x076df166a42eae40f6df9e5908a54f69a77f4c507ea6dd07d671682cbc1a9534',
                       '0x531f360b9640e565d580688ee5d09e2635997037e87129303bf8297459ab2492',
                       '0x30be41b5a9d8af19a5f922794008a263a121837bcbe113d59621ea30beefd075',
                       '0x39f57e4c8a1178d875210f820977f7fcd33812d444f88e471040676e3e591306',
                       '0x3514084b13bc0be636482204d9cddb072ee674c5cb1238890ee6206a3e7bf035',
                       '0x6372b6bc660daf6b04361caff785b46bbe59eb6a34ab93e23d6364e655dc3a36',
                       '0x422af985e648814bec5af62c142828e002d4b014b702760106b0b90c50d11de5',
                       '0x3296e51f12e0f5c49747c1beb050ff320e2eb7422807eb0c157a372dba2ea013',
                       '0x3b76246abaf33b03dd5b589b80a7fac0ae7f1ad8a9623bb7cf7432c90e27358d',
                       '0x0b40e7e02f5cb836c883c7cef72ec48e87c1808f7d829e2ee0bec0ee709f7409',
                       '0x2ee81b5c29c93b8a6e8871c01d0380a698e547475359b4a4befc22ed2232690f',
                       '0x341ff90fc4a8afee9b74c464955ba9b357252e915b8d39ea7c1318eda718f54d',
                       '0x55eddabde058f3b5e9dae90873ec9bd7b05927da36925e7dfb7bc290c1da125e',
                       '0x6b34ad8cec56aae4595c403377cd2aa990a2f09b931f832781221965bb081b1c',
                       '0x707de76df294fb845309d2160e1bdffebefd57a80c8658899e2c95e77254c752',
                       '0x05e9b152bfd4946b9c109f930eb01892f314597507d28c735a266f4277bb2a32',
                       '0x1589a5cbcee13b696b6f0a1dbbabc08394ab00ed5a6ae6435020e9e3e2fc909a',
                       '0x7116a5d027fe73fbc45bfc60fd875c3116fe3a567e830d1d2d38655223dbd7ec',
                       '0x05382ee6ad97381eb3137f5a90ea13298dac6bc7c2204906044fafc01bfe6ae4',
                       '0x0900bcfe5e7c1b7d0aa80c714b7b2a0c1df7473362138a9dc5c552d11c1d0015',
                       '0x0513deb89d2e48fc729440dc08d0256a79cda84d511a04e0d92cce3c7e55a7c2',
                       '0x6bbb5f1736d499fe3fda42ad40a2b124952ac35fe970ebde38c65cc20ad2afc8',
                       '0x5782ac68a8da0ba09f4d17e7e4b46caa4411a27e60be92168ce75bed95453e05',
                       '0x2d83f3324639c5d83a1ffcf6ac693eef98d8ea4877d547c62b304b0a9f4a0c28',
                       '0x16d3a13700ec503e29ca4d0c6342864595134408b6668bbf1766bb48d7f96cba',
                       '0x318050e971e075931253b00430d35f89f40a88fc73d62150882a8e87149d7244',
                       '0x7180760dd839d8bffbf9b1e26826cb4f6de65fa868a8143e1dc8c2b6ac6d1ac2',
                       '0x5cf2aa95907e59c4725cc17c8cf492f9a7eeef2de337ac227a983c444ae0e80e',
                       '0x2b8345763484d7ec02d6ee267b7c737ca9de41e2186416bf91c65eb0cd11c0a4',
                       '0x055aa90aa60ef9b7f3c29c7500c64e6b85929220a6418dfad37ead3928059117',
                       '0x541d5e4be0967bf49a595c1d8290b750305a334f3347c01b57f8ba313170e1ca',
                       '0x05c0a1f16f97f582caaf4338f018f869e8dd0fa32f007bad1a1a4780053d5817',
                       '0x01519e13858591aa93b9c1d7f849276ac1d2011b7fd19a475371c7968d9f52cd',
                       '0x69c30d5a27f4dffa19c956c348287a704676d999f23044036b9e687a45a1a113',
                       '0x58c93b899aa53e06e82b6346e36338841ba7279d2b7a0ecd3aa20f292852936f',
                       '0x06b8a12870a15479d41018fed6f1a29102ae23e13d0fbccec93ace48bdb9dc93',
                       '0x33eda3c347379e61c2297aa1026682d22f95dc3c7e46e68ab3adb4b0939d76e2',
                       '0x187728045111275b93a1218a148ada85a1f6e2059c443ac7d61fe81e3130b89b',
                       '0x397ec485c5a8b0c8a03ff543e9a9e5a4dc0dd4849fe955bb77b452e2e22c4f17',
                       '0x2f33f8de90f81248455d5a6592667092992be0468372addbaff664caa84cd2d5',
                       '0x061a1a458994ddf9f38c5edfbd737d3ceb05deaee685058b14943e7e9246ebca',
                       '0x4b73ab5b9d35f47307b731e3cf1a1a22e7068e2744f2af0ef6bd78bf8aae4845',
                       '0x5578b7ad5f8d4f3b8e618af7d8d5ec8bf837d2d9486527fe2f9bf7464f8516ad',
                       '0x50b4f055d860f89e12883209f847a4b1a2395fb419eb53c182dbb555c962255c',
                       '0x0b2da770936d6c778be289557ddd2ca024b93fa38c5d4541344e883a69611813',
                       '0x47d8441e1ae7cb8ffc52a18c67afff3cf7543cad51605b2d4e2513f1e1868b68',
                       '0x619da3bf44b42acd949ed572c9f3c195ed20b0b91bcd9e95ee3750d26f3b0ebd',
                       '0x6c9e249e89b2b4cf9cd7772950e0cc9d06688d4f051095eafd116371ede49ab7',
                       '0x210bd3217a141c55877d4528a4e80d5d81d78de7addce85994082281a6250d4b',
                       '0x4e1d8e4079c14c83847af6394d7dc23f33ebf71593379583ec574bf5c86ea9a6',
                       '0x699187330fc1d606e8b31b677651a2c7d1c87d4d001018031792cad0ad3f2826',
                       '0x2946bfc0f45c1f1a0dc4c343a85259f6a6237f064481fe66eda76f01998a01ea',
                       '0x5543e07588375c6d800e5e42d1bfd8b7a92a2a35d65b234ded85f879f82a3d66',
                       '0x660e9d0f2f866e8d12b40dd9d9c03cc8b9ca78600bd649f0fffb2c388dcc8b43',
                       '0x38f06c48d4dc53cb1b69619244cc2a610fdc4229ea316980dffe9131a72b4209',
                       '0x5c9a73a16521ddf463f9de314dd5f7255bc66add48297615b761f34e4636762d',
                       '0x310931f0204c9936fe659e9ebbda832c930172130b3f5476c6c6ee5e7fef3e45',
                       '0x72eb1d833664d8989998af11441ac49654c12210b3465e5ac67a99679634a3af',
                       '0x6981346585a2a466a9255841f710e1d083bdcc21c0aa6721745e158218767a94',
                       '0x0370a259836b3766d563ed3cdcf55ace52655111a1017d8c76eaf8f97e81d858',
                       '0x4f63c45a324b8b974c22a20a6c670eb62d47ef900541b63f1d362b8bbe4ec418',
                       '0x6a4c7347121c2d4745ecffaad22281cc4d58ea74453b7d2b625b890190fdc7ad',
                       '0x36d8869bb69a51ee99622af09d6878c5b715084b25f6e4560a7498557fe87fb5',
                       '0x18faa7f51e1b7a442f9123806872094c0de8a46a6d8402f31f0cde3fcb878394',
                       '0x3610d022aacbe58593e0d6aa7eefdca767f5ddfe7fa1fb9fb4f80225d82b617b',
                       '0x3b5f13d6a8bbff31569bc6860087b2a4b361146a04ad5fc7396a3d0c59f68c1c',
                       '0x40e919335051c6aaaee033745c41b6fa36739a097d94ce6eb075ec03da2a978b',
                       '0x2f54586ab9b7886340f8ed5254f29128a85e2fb1e3725bf3c9cd8bddadc947f1',
                       '0x00606231b689a040363e5afc050f9fc9296d6c620a885eeaffe91be387cbe96c',
                       '0x4b55696db6b0fa327527a76e6ab6b688561c879e53d858e4c90a1122210130e1',
                       '0x569c39bd78356991953aef4b1a01fdf71710bb05eea1f447c3e5efe13bd62894',
                       '0x537f73fcaa256497a2582e45105f1dc10f39c7fce9b88cab5523af3f5f82dcd9',
                       '0x2d58d32120c25995cd0754ab9fdf9ad67d67623cfd1fcbf489f51fa6e6eee4a2',
                       '0x37cb0f655951fca18a4ccdddd4d8466f8839ba8e320a104cb47a59cd387d322f',
                       '0x4e29d154430c9bced788d2eed8f3e01b5da24c1d3710e490bc40ee6d5903213c',
                       '0x47597b7a9018192ef22d6dd24555af1c0c51d8a90b54d8a0bdc2df7967d7a28b',
                       '0x4e01b43205fca0b4a32582abe600f3a326035fe7e028cb0569bac43c997b98ce',
                       '0x0172ffdfba7e43ca807d5b5de7727b4e41706c1f2858c1e8a46c27ed3eae5ff2',
                       '0x2216dd907ab98c0d1e720a46ef83334a236d2c134ccf35ef8e889421e70ebe03',
                       '0x168709f668b635f03607a39390a0de71306d6430ce2babf7292d789d25c0f8d5',
                       '0x0ff6a3823440877dfd355dea80595e21115d0dfe3472cec4ad1437572cc6151d',
                       '0x44e37699b3c72f50ec1a754c72e6fa3f5a074181dd63d189ba36447d34e536ff',
                       '0x267298d2e46227f7f7f422e3059f18d83a8795731b13f6568ce54730cd3fe9ae',
                       '0x1ecbe7a60848077203373441a5b09b44693a155fe226442259e37ac47209235a',
                       '0x31cb23e6b5d7393577d5f5c3368c5bdd5b434ee6319f07e502031cc393d4eccb',
                       '0x5d4c550c4a6eccd74b74d6279b3d9bc755084588156a1bef673657dc2116ecfc',
                       '0x226056b5dec9afd19190ac48740c3b5ab1bb429b19f56894a3dec3f104d238c0',
                       '0x09077c021183dd37ad10451ded70d7ae6ec4819ae76ce23fb2a0be63e69907d9',
                       '0x53545c868ba0fbf0ed1ed7a24ec11b2ecfba5b37fd5cee80774e1ecdea991ed4',
                       '0x69521c33d148e678ca10b33103812cd27597c4a6cddbe83f4970d4b96e03304d',
                       '0x01d5779be7477b96aac6532ef919e61c624072be54587e0698999dd5f460e446',
                       '0x57875a44441d2f191ac7d8de42691ab55fd3401bbaf04b786ef0603b3edf2927',
                       '0x1d5c957da0832d5b94e76f7abdb190972774b594ed232810bfcafe5441839d37',
                       '0x1b678335a80fd045fc7ce1897aa129f67bd55ca9ca801bd88eb7cc868538bd7a',
                       '0x31e69d706a5c1e011c1cb1809e5bf1857c90f9f50b9e1ae5ad36e4d3dcdbb7ed',
                       '0x485df8462ed7a18de34aa6e99ecc9bbf2db075a096b56bc2943b76a99c4bb1a0',
                       '0x1e46fdcbb3705f663a350e78f99024912d80c95779195807aae82cbb494ce9e4',
                       '0x441d0fa0e9cb86c3a2a1f87151681c603c3e028f1a0670be2149eed4f0a24f08',
                       '0x02a3caff274f40942062340ec1fae17c1b1e97c2f0fc7e847c90e9317fea2c0c',
                       '0x4caf281080c0b2f2f638bf0f4859442f4c9da94e9994dada34c5c914130c1a9e',
                       '0x444470c6c49b5b9a38181c3af20bcfea572450946135baea85cfd6b692fa6464',
                       '0x6d5e07a13376fc883bea2dcdbad7f80b7780f231cdd33f5b98618f42cc49ec2f',
                       '0x1b9470418a07d8c88c767d1e63e8d5cc7f810cc530db1340181ecbbb212e0f70',
                       '0x4134c8666c685b712f4aec72077c540ef4a041dcaa123caabd57b83fc6266f14',
                       '0x3d5d0489e27362db9bf0cc7217477d81d2a73e1a44edc43e32d43bb544287c9d',
                       '0x71d7d4a91945e796f538f03b9324497489009ec1a0a403de062ed5bb4d7c2400',
                       '0x646c3d732a94f722384ac266b41e06cf21bf24fb9426c9556d8ac9514f0875f7',
                       '0x4f860c9e5d9bb73057d93c207902d9e60fd6a7c779fde1ebf16b853dba1ea9ad',
                       '0x05801566eb9e119e2f9ace565c9488cd999d66a5753eb4b9887363137baa09ab',
                       '0x0263bdb8654cf1245ae4589370dfd5eeb109a50944eef54308566055b887ee01',
                       '0x4cc39561e65eb05cb8c83f9854750a9114a996eb23e6a0bb07d2d61f0baf0a62',
                       '0x36b544778b2fdb94f808ad8d077b7f0b44f3bba515ecdf026919e2fed09a106d',
                       '0x3fb1f7aec47cbe990151d4bf703c38349b95f409abdf0504e67c1a55ef82294c',
                       '0x637e7eb19cf539aada7e48bc6b72e5ccb0e3f6913f18a0d55696dddfcb1b587a',
                       '0x73bc630fcece6947fb81ac8e0f1f1671ed6042c3ef3bbb12ed554f28b48b46ec',
                       '0x304b46f52d597b964fbec3fc0dceee442febe6131359e156c194ab7be2a11e6d',
                       '0x067d85956dcfff7fd9f6a0fec505b7f4998e3d85672623677a6d974d6b111de6',
                       '0x65830d8053bf8afc0ba5274f1a4c4cce617fa624b480f13ed3eb369fbba78e67',
                       '0x6c32c101e08a962bd996d759a6c012a4d97aedaab9fc99c1fa735a16cd24dd44',
                       '0x11fb2d160e41a1845fd14578c617285081fb1a16a21b36cfd5065b30fac574e3',
                       '0x50aada39348c4736f6c59f7f053c488ed999a33ad23501d9c635aa03baf90db5',
                       '0x5a5f0e3a32b260fbdfdc8c0eaf3a99396992b50b6dbb63a9d1e1ddf9c91d78d4',
                       '0x62c9f6d9aea355d358f2986ad487c2ae443122e1edfb076930865608d05c3b39',
                       '0x520cea06cee20150703a1c8000d4a5f22b3efeb9e34eb90bad0b4ff091b33683',
                       '0x6da4e4682545c1f4c0076f5845fbbcf48632a9c193a92593d12d248031f2c893',
                       '0x1ba5502cee2ea2d07a64f68f0a7492d2426382a5b9662d0410e086107399989b',
                       '0x6ab843ca92240f8a82862da071d53f048272d55425907fc8d0e60dcccd5a1ea4',
                       '0x3f65c2dfa6bb39c1b291c40f810cc912015384a2a24fd322b6375e27bd069322',
                       '0x6a2df71a64cb0d9a548e3b65ba4e646ff5e519cab564b5f77b3fe08e038b9c3a',
                       '0x64776bf2b66bcd09c8661ee6ca6b8251bb4aba5a7ba181464d905db561ca45e1',
                       '0x6d7bed0d258b518eda13368f00be2cc0a94d71cc203d5905c35b10a3ee53eea8',
                       '0x371b958b5c79c889d1786edfe404119773f728822637fb4890b8847a93f97af1',
                       '0x56923182c33cb4dbf0988ba2314378dfd7491b3467b6134e6283c87a1478cbb8',
                       '0x3c4304994ef664d6aa19e3db492c306534281b5b6f857fa6ffae67bdba99c09e',
                       '0x0d003bd3068fa94c4f7bbe6ba02993acd341a27ed2fd7ecaa4e6b0b9d0abd85a',
                       '0x1073cb8c08510e7d88ed4cdf78e96b297cabe9d6677db47289b056c2a640da01',
                       '0x5c57522580fbc75883658d4b7b8ea07e1a4fc75f453c09edd9d249ff1bd31ae0',
                       '0x2a5bec9b422b4dc64958f4752d0c091ffa7904e0ce4809728d16235bb41d707f',
                       '0x379c4a9b4174c5878f72b60fa985f7aa86c1fd868683bdbe8fae194cda2e56c7',
                       '0x3634e042e79d046adb911d57b338e78f51ac7d212c5a5c6dc4fa1a05ddb58c82',
                       '0x3ace976310c5040e1484d1a6d42993ac5923d474ce5497a3fac468af25843a01',
                       '0x3f5a856ab863b7584bc2e6e4c610b9df55a9306eb68894d630ff7d04f243e6f5',
                       '0x0d52822f5581fe9c5dab0b1f8d04eae183deb87c89504544a3d5558594b3149b',
                       '0x3c119e173586c22059bb09d2af4fc1044c8fc44f709233f7625e5fffa6696596',
                       '0x3e154fd5a026d7c6584faf8c089d82fd560f138392a8d4a5fe287859994c96b5',
                       '0x47251339c44d737b21df0ed1e204a28b68c9abb58f1cf2232f8a2da433e24b0b',
                       '0x73d84625f38db2f3842d7724d8e79d6d0349a93b8d6142603eea382ba6ed8692',
                       '0x42929bffc19bf9cd1c53d10440b0760a3be6442db20458b692b4ba3901e6003f',
                       '0x39b16b0fc3700aa93e0cac53fcaf7e84495ac3b49553b2e1a5ff9f73fe74de50',
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                       '0x207c7c32631a75fe8e0da895367176d24e32c5573ec91acf235f3c6c307807cd',
                       '0x20f955773b13b160d3575eb2380b466f7d38cb4a0e12a15d43d147645c3944ca']

matrix_255 = [['0x354423b163d1078b0dd645be56316e34a9b98e52dcf9f469be44b108be46c107',
               '0x44778737e8bc1154aca1cd92054a1e5b83808403705f7d54da88bbd1920e1053',
               '0x5872eefb5ab6b2946556524168a2aebb69afd513a2fff91e50167b1f6e4055e0',
               '0x43dff85b25129835819bc8c95819f1a34136f6114e900cd3656e1b9e0e13f86a',
               '0x07803d2ffe72940596803f244ac090a9cf2d3616546520bc360c7eed0b81cbf8'],
              ['0x45d6bc4b818e2b9a53e0e2c0a08f70c34167fd8128e05ac800651ddfee0932d1',
               '0x08317abbb9e5046b22dfb79e64c8184855107c1d95dddd2b63ca10dddea9ff1a',
               '0x1bb80eba77c5dcffafb55ccba4ae39ac8f94a054f2a0ee3006b362f709d5e470',
               '0x038e75bdcf8be7fd3a1e844c4de7333531bbd5a8d2c3779627df88e7480e7c5c',
               '0x2dd797a699e620ea6b31b91ba3fad4a82f40cffb3e8a30c0b7a546ff69a9002b'],
              ['0x4b906f9ee339b196e958e3541b555b4b53e540a113b2f1cabba627be16eb5608',
               '0x605f0c707b82ef287f46431f9241fe4acf0b7ddb151803cbcf1e7bbd27c3e974',
               '0x100c514bf38f6ff10df1c83bb428397789cfff7bb0b1280f52343861e8c8737e',
               '0x2d40ce8af8a252f5611701c3d6b1e517161d0549ef27f443570c81fcdfe3706b',
               '0x3e6418bdf0313f59afc5f40b4450e56881110ea9a0532e8092efb06a12a8b0f1'],
              ['0x71788bf7f6c0cebae5627c5629d012d5fba52428d1f25cdaa0a7434e70e014d0',
               '0x55cc73296f7e7d26d10b9339721d7983ca06145675255025ab00b34342557db7',
               '0x0f043b29be2def73a6c6ec92168ea4b47bc9f434a5e6b5d48677670a7ca4d285',
               '0x62ccc9cdfed859a610f103d74ea04dec0f6874a9b36f3b4e9b47fd73368d45b4',
               '0x55fb349dd6200b34eaba53a67e74f47d08e473da139dc47e44df50a26423d2d1'],
              ['0x45bfbe5ed2f4a01c13b15f20bba00ff577b1154a81b3f318a6aff86369a66735',
               '0x6a008906685587af05dce9ad2c65ea1d42b1ec32609597bd00c01f58443329ef',
               '0x004feebd0dbdb9b71176a1d43c9eb495e16419382cdf7864e4bce7b37440cd58',
               '0x09f080180ce23a5aef3a07e60b28ffeb2cf1771aefbc565c2a3059b39ed82f43',
               '0x2f7126ddc54648ab6d02493dbe9907f29f4ef3967ad8cd609f0d9467e1694607']]

round_constants_test = ['0x6ce90d12c4045fe08c3caddb776dd84ac52b4ae7e48cd49443984154f2f4c2f9',
                        '0x0ccd9b480c84022b25a75b52c8e89d80b4fa6378d32e58f3a175504940bcec39',
                        '0x513ad11016ab7bb8c7ce9ae51256040e062487edf7168d206ba1b86dfe963629',
                        '0x11f7cb649a0e7509a23d14173a5de7151173d08eacba753b99826b8b3779200a',
                        '0x0ecff643ba9ab089a22a970622247f9cf186beb72648d332fae08a43750c3229',
                        '0x6b25f52722eb0ce3ae300e4ac0e9fcb5d56878c60f075f75521ac2d7767755e3',
                        '0x0a0090685e43b923a2927373966665c1492f9726055b31324386279eb9203149',
                        '0x015fe1e3912b8f22f10c507e053fa5844fcd781197fa4571823aacdf59c8db24',
                        '0x5f2a741651a2e15ce1479c0409485bcc62fffb8f1c10d818f7e1ee309632904b',
                        '0x360b2608f1646cc80cbfcd36b07403013063c7ab25ce9b466296de838b37e488',
                        '0x306ce00b7771ec2fb8b3b42e64018736b05db3f1ab35bd3ea254588355e713f9',
                        '0x633dd5902068ae0c8a25d241ad588e500ad4da0a670ae37a40cf4307f750ba1f',
                        '0x70a315191f7cb54c81578ee3b62bc8212d460e5236ebc84dd1e9b599b25edc8e',
                        '0x26b565af6851d51e12e2e1b7b53931a5336760ae05a2f4b9ab7b7af57cdb6084',
                        '0x381dccbcdbafc1c7f2777e51b2e83f46b4bb875e2db765fa50b9646979d27bce',
                        '0x28997240df619eaa056bc48eb8bbd4b21b1720a9d7b0d4d3da67c111df432aa1',
                        '0x21e9334f39acfc4b2955c629d6666e553530ad5f1d8ec4b6dd4ea359f68de964',
                        '0x249267d6abafa416b4679a05ee910849660f6936f3c02c48551ea83bfb6573ca',
                        '0x4bff8aa480c7679b3bcf2d5342400be85d9e471e379a4d974d48b9ff995862c2',
                        '0x019f851fb6687a587a15052bac2f2e8e1a55998c0596013ba4c5bfc98547f202',
                        '0x1b3907d40fbf3078fe9bec61b06ccfd079fcf63fa57dd4015753c518299a52c9',
                        '0x5cc62d524dbc0d191786b6dc59c78d390e5c3c484eaef37a6c6bca52c460b03b',
                        '0x140bb6544aba956aa9ff5a3341cf83eabc03cd7e0f91f17062052b9ef1cad972',
                        '0x42f4796798634d0daaf53a26f4c5bc46f74987dfc1682d87cec2199c246c83cc',
                        '0x4f08b10080786309f33cdadec9bc0c473a093fb591d3f9b6f93adde79844f22b',
                        '0x3535028e2d52f60aa81ecce18881b89aae9e5f15771fc7ef904e13dad1adae4d',
                        '0x654359e174efd9a7640fdb0287f06640f13736f9f10d3e7c4c7ecdcfaec94cf1',
                        '0x5aee3625c7b82a46ba76fb4562b39a2bb04f5ffc3cdbf7522e0e47f9a8125cbb',
                        '0x4221c710d19c1666b8c93c2bf26010a340bc158e6545993a02f45d110a121c0b',
                        '0x6f35a00b79f0ca04f18e3afb05e83a4725b295525621a32c596a4c6eb1392c07',
                        '0x62fe9cf676edbf3426a4ee9eac080e5cf8516cb173cd1ec692d617a8bb867d41',
                        '0x313c9558cb5444d67e6720bc4a64511d5044bee012c89548385edab7f5cd6ef9',
                        '0x1b73b8319b2e075de264aed04b1dfd39d2c3bb505176802d38f82299e7359e79',
                        '0x2a6b645c60d174e627db22b0ee107d86fcfe063ee98e70474c5c98da4a538b75',
                        '0x419597e07152450cab99d080eb590da95afce1660f0e24b03eac8ba52ab6251f',
                        '0x5870fc0d502c9b817f541dafbc19386c8d9c16b58df8ab576b76ba4956d52518',
                        '0x5aa51d96f4f76e3ef6b4c2b895311636965d34873ff2b8e8bfc75ed833b92187',
                        '0x0f45688be721d81fd3e9cdef2d68490ce4775b211bf8ac88cba454df96b3f1f2',
                        '0x35baf162b9b68a9fa1646a063074974f2866e1e1d23b5fdd7d18388bec59671e',
                        '0x038fb201010d4d001ee53532fdfe2c2dcd4d81aa95f7572770c9a0176417abab',
                        '0x5b139678fa81a4a6532c2109157b4397267d7a14f53327f959eab99df6766c25',
                        '0x5f200202b153afde5dc54bb1e3894385ebe44e8deb55984ec4325c8cc5a44ce0',
                        '0x2151dfdbc62b3f786ea15b53ad3b749a3903fb64c83de56dd112098d1df12da5',
                        '0x48c9f2a82bac813643f9ec1904ad155520f300908771b9537d6c0ad4ccefa47b',
                        '0x19949affeec1740b149600014e150059e4f38da5b9dc91a74bbcf44596eb3a05',
                        '0x4bb02b00be2522f0e0070fa790a9fd71516faf1354bd662b92898207eb816252',
                        '0x3be9fdd349dee73f8922595bee6fb9435136b82c1a383ac110b1ec8526af5f62',
                        '0x4483129503169500919445c27b5333495e174ab61c62022f0c4c3cd57b12dea4',
                        '0x4912360ce7a9b2bdfceddb1f05ee90804e76ea481cc0a9aaf0551aa366040f89',
                        '0x1d64136ac33d95e02e434359024c31e2df6398b6bda168481da939e4f1caa89c',
                        '0x13352cc90f034215c871d949ab378c0f81a9d3e6ffaff97e050255f75df0476d',
                        '0x5bc3eb555adfca182b9644d9c120cc789afbbc79a6791ca14d44b2f6f1da57d1',
                        '0x3a8aa810b7e1037d6526651dca1fc5137cfc754433773401f17bda9da49ce168',
                        '0x1ee4668260d0a27762dae686b94531d4152adeea86fd55c34df37659757acc49',
                        '0x390ab69bf8eefc51c2c3ed44197679598f3b0b26b796b24e6bc2b31bb9e4dc1c',
                        '0x3b28a3c33973286c896de120c38af518a085507984c942d6bac12b0a8a42e3ba',
                        '0x02830ab9fe28fcb2d8b13ca35a6ebec00dd38d1399d1cc3f724125309286a207',
                        '0x601d4b7e8122a7a55c405eebb8184c22dccbcc7240efff3e6a31be9cae12763a',
                        '0x2cdc04c5ee0b342099e6ed9a893ba4fbef4fa96bff9c0627672b0dc92cf48887',
                        '0x68abf14f7578df4824a458a0004cd0c6fb5470f7b3c33364ce0198c93e4fea28',
                        '0x13d3b7066762f96fe3d512e56d5e3500aeeb033014445a2b19bd962b85ef686c',
                        '0x141be9a660dded29c4871fb85afa1627c76d04bd99894f5fadb71a162682207f',
                        '0x0ecf026e121c846e10c5182943bf6ecfd02acd67584dd92a64a95faf648510e3',
                        '0x6d88db44d4f3fbed97df0c27c78c53b6eb6bdbd1333720f451b1a3e92860f8d6',
                        '0x1460d76c72906b1693aeb3044922117ee3622c646609f372366b849281c85b29',
                        '0x5f24b1b7f2b9c13485a8e9393ae6e195d99ffad9c1f532ddbe3598ce360ba21e',
                        '0x29448d367649ba69ee4da388187ee1a08636e16f77284a4bba29da5061cab099',
                        '0x4cae3e8d09c1ed760a9da5d29fa429e568dea50331e4f475bd16a7a802a8c1db',
                        '0x407b6913445256863459838e6acfcf6d4f82114eab3234a152b9e7e4b221b6c2',
                        '0x3aa78201d03155046add0d2670b4919a3d3779b21005548f8c97c8133dc3f39d',
                        '0x59a5b5c03d9dac4845e3a126da1b755b0385aa6e6b9248d2d26cac70322f5d74',
                        '0x5d0ddfdbc20bed989051c2ee31ca913427c2d43ccaf16c53e3e01f6d97fd657e',
                        '0x6c58de8fc0d0f53accd6fa9a3928666c30241c1fd3287787062a56400637a25e',
                        '0x23107bd2f01e84bde2fc199eeadecf4e770eb8b50bb6a6973f1f513ad30a8c69',
                        '0x6f0f2e0e8fe0a2d0e95582891bdaed0a93179e8385ab48f192efe147305fabce',
                        '0x011b8038e7f395d6b3061e354f98aa704ea6521d4c56f73bc0964147c21ec8e9',
                        '0x60d41b555941b0a40e50a77d47cb9da6204c954a0a896ed1e01d186662ac303f',
                        '0x3047b9594e05a63f0f6dd1089faa2a9e2ecba22b11e7a272d754dd69fc1f6e30',
                        '0x4bcacd2ab956b68f5f7a85bdae77fe73db796461caa083c79cc710141d26f495',
                        '0x020a5dd054251a5a221c8206c9388906ed89915ab9335d27946d3743e04bbfd1',
                        '0x17f6a14810f13443a28415b3461f1395e8cde717d268fbf5de44ced85a7afbcc',
                        '0x000ea4931e2e4a143d8d4133c34dfe0289a38985467694d492933f3a65f107a1',
                        '0x514d38c7e8a86220c931878f95eafd8e2aaf65c9f6b654e3f067ac10823fe57f',
                        '0x4518d76bfcd763d68eabe6b6b33677f31d4dc95a3141c39f1b2e70f02041dd4a',
                        '0x2af51ff96470b825dad74a8c78f8e4e627a199ecb19f63cbeeb47e97512da930',
                        '0x07791f50039ed5889eb7473d3d54a2e90725eaba7d5cbb30fd89005129b9d2fb',
                        '0x6d4e115fa802187691c54c592186732281bcae83d7f9b149f0b07327544c0b50',
                        '0x4cd806ef83c6eeb51b907c021edd6b45f851f29c3fb3dfeb4f30ca3093347e92',
                        '0x344b7c222d6ecabca31add3e1111e894326bc4fe5279128d6e3d3f8cdf349fc4',
                        '0x22a558be85f827d050167b93ce01e2fdef67273a3685bc8d83b0015b318bcb7f',
                        '0x68b6924e041c84f65e6669516f4e8ecce5872bcb02e7d4eae88f05d03c998bcf',
                        '0x3693c6e7191f56e50c5b3c6557ef1d3e6142616cba57c20ec6f3011a729f9415',
                        '0x6f762b8e139734b0340b397003fc43d64262bd4e2571f790cb0318f70e573306',
                        '0x5d24292842fc67169d12661860abecb746d4c0309a21b126d4ff77ec8e70ebcb',
                        '0x6af7db0b2d65fd07a354e11aaddca03876a4aa65cd080b27e7a7698bb0b02ca9',
                        '0x697a8cd5109c5cdd7fd6ddcfd95d48bdc97f83ef5696579a9b768546e723e291',
                        '0x6becf1b0f7a3c87f5960c54f689250d3fe1229afec7c7574f805ae76c6a5b5da',
                        '0x1d8b65153a4ba3d8df2ae8cf25943a39f414b975ecb0b7acc9bb5ee82dfbb95d',
                        '0x14573197818f5c19192d5caabf4f0e5f967815625e4874654b38d0fef9c4afc7',
                        '0x09607e183758efcfd09e675d736eaa5ca65e3983e49405a10a5978335899d749',
                        '0x348152b9007b9559470b527d1a99c97a180231b2cb4c748394da2a9d9c9f88ed',
                        '0x58d6caeeeb64e07a290a986f828b6c07f537a2686ecf731684b31e0978da3e1c',
                        '0x157c98bf3d5021625cecd30aee9998e96ee03b9fae7fc838b87ac1a8e0ab4976',
                        '0x498337b25ea5480eddb4e7589feaaa278baff5268ed560ddde3c3f67719ab18d',
                        '0x32cb88dfd8e3207c991ca408121a918f71724dfb41049f303598ee1e7c8ce551',
                        '0x1b056c5e0337ab6547fc2afb13c624aa65633255c814e06cceac5c8fad699d48',
                        '0x54ea1dd7fcd60d39cd777b0fe7935a5a3d0894972d8dfa44c126ad4529b9207e',
                        '0x4dee4326db4bee735fa80f0d302ca367fb11c4015deaa6dea470fd40e71d2bdb',
                        '0x0fbf3285a32056632d4d3d10a59a829047801b4f0309da4446f7de3107fb48c2',
                        '0x3657fbb7d4fac059938a784e7cf11b014b350bae93fe00c6eba9a789b989e4ab',
                        '0x2514819d98b2e511f216d2f4750b84274cc00f35056d58266bfe5e8094ab15d5',
                        '0x3fc8cb8a9459e1841891ad22051fae1fc0c69f60b2ebffc264533d45c478406f',
                        '0x3bdcc392892c452aa1a0920ee0a61b9046459cecd553a6c63f93c00c17211039',
                        '0x0ce294304d6a6a298fb59a3ce821f9ff4cb167ca443de3e528c1301166122b12',
                        '0x2d08afc6466bcdd8dba7380450a81d926595e67f16e0485a23ec0e71e69c0064',
                        '0x6803a0840ddce433a01fad7a86055a07c52501c1eb39ecd018d815cb47172a31',
                        '0x61e37f6ac4d5caba7dc277d84d85330d17de6be11c28738c5b8fb1318070e389',
                        '0x70917860ba0969527ac8c54f2ed291eb9f874ce3d666e1820dc5da1454bf9004',
                        '0x0ae2a13e9dfe9db7752070b3ff3a4000c6a00294e3acd7e1ddafe31ad01e7dec',
                        '0x22745fc6a273864b6be5c828e141c8e7875dce3cdaecf8cab0011b98eb8b7201',
                        '0x5c030ce1af2c18b6b1597a9d40e432d4068ed839221e4e5250da44dbdd073996',
                        '0x0ffc727b61fba3547db10dfcc2b740e55066063e93ac230178871c40e1adb1e8',
                        '0x1b253e68622079ba341071945597005f3b078b0167b091d11a5f20f0a51e8457',
                        '0x45a89a38c2fa2d324d6e441f7349bfb66204b5a014fe97e42beec49ea3f877ae',
                        '0x6cb29ddffb6e8e04f3d3ca169b80a517a920a85960502274d5872b80918f1c14',
                        '0x4468f295c482d8429f1fd6350e2fc7d2d63ae825d7cfe532e72530bd0904f5a1',
                        '0x4626c7bad7aad923f2ab86aabb0a278890f3279bdf867b37d7980e13e72f5488',
                        '0x2f3d86a13162742ca3478393e9fec542acdd97e2d7c4319816a48408849117e5',
                        '0x05314e9eddba69229ea7057d2d7841ec31946901ed938f88d0e0fdcde64cb5da',
                        '0x22474a9098ade42f1b3dc6d6b2bc7694a85caf9c8f2ed107db2c0bd0e8fe2cb0',
                        '0x6e40f0c3c85bbfc86dae2cda8fa46ccc6be8fab30d3d39cd8bc4f11c2e093783',
                        '0x65daf15f4650c48868a67c395b9c2882707f12db1cb48001145eed00dd663b69',
                        '0x6a455192fbe0dd6726ac500e07ade8f67be93f1d444af132c6e085869e22d716',
                        '0x5f87e325c2bcbb03b038054f4daa50a2f2fc1285a6eb1cb782159a47f956f03b',
                        '0x70f7292ac5be5710e8cdcaf15b5c701235bf544598e009391739667f524fbc72',
                        '0x4e12e0ac89e819cce656967f65f6beb39965ef322048b93c8615c731797442f2',
                        '0x59ead728b1338ee0cdf9b451dfe5cfd077d237c2b410d4099f7c12eefc3de6d5',
                        '0x43e17d46b1bfb06d25d948bf54afc359ec7cf8a15159d1de9068493647152338',
                        '0x4748473dfb5c818f58223cc5874b53cb8f5563764827b6ae4763015060a0094b',
                        '0x3489d0773111f968c1204a873db047c3f7c5a1048a7450adb6977e537b91b393',
                        '0x6ec22a156fc6d49600619eeb09cc6af10381607573c9f9463d8bd59c5c06d2ac',
                        '0x0bfe9b8458fa76a8411e3ea88dd18a51ea73e2c405736029f2124e4ad3673780',
                        '0x2c49802151ae6479e6138479a20b34c43718b08b5e1a6c982652371242d744f7',
                        '0x56f503a8ad27b9fed87bc8c5d274d7e4e24aa941e4aedcc14eb621fd54481b1f',
                        '0x29dd15358a5f9b4feab0c339274354b4e23a8e364b253e3fc15e95b28f701dc0',
                        '0x6be6028fb17a4edaf1a5bf9765bea799ed1a28ad541a69cc484711d0135eeaa1',
                        '0x2b9765a0a816e427eaa424d920032ea51ad8ac04534d89054b3a4c222f770a51',
                        '0x373388b28b694943fad1405feae029601f79394a350e5ed8b7c4875edeb7ce4b',
                        '0x3580c47ea30515271f3c354edb8155601a21c749ac388dea2011973486933263',
                        '0x63066457f1a0a4c661b37d3ae563205b51b95f4743b26eda2ea026866778a3c5',
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                        '0x19744ac0b38ee35410ac1b56d2b738f5b262d56309d4722abddedb34777fa57f',
                        '0x3a5e158ba259d94b71b988c191576fc3b3b26a0edf3669cb57c714abf1b7f635',
                        '0x1d6f8dc5ed23e7840b73783d947624bc619b96215001c5b97d02ac73303e12b6',
                        '0x17c89fd17f75b94c441b7a92e630bb2bbe7f6a53de8c11ac7e1f1799752f5925',
                        '0x13ab3c5c580c395fa3aeb98b3e80debc7180e9ec194f4350d15a3fae347f60ff',
                        '0x69d9bb8dc9d062800687d2a2fac2d8c5528ae4351d7a079ef8104034258c2ffa',
                        '0x0f53888fcbfa7b9840c832855dd49a7d18977fd1b503550339ecd10bc7683870',
                        '0x0294b1bd0ad3056a3797ca5620e6f0309d1c319a0c1671eccca3acdcb587b48a',
                        '0x2984dc974e1a8100287efc44f9d3d10c715f51789b8fe342768c0038149d70dc',
                        '0x0a08fab864c77636f0e756cb427e64b12146e46a4c989caa68864474a7da866c',
                        '0x0e80f9e1298d77eab3bca63aa0134c6e0ed93a3b055c5518b3b2495c91dc888d',
                        '0x2b961151984f9c1e996936313dd86d65562aebfd9da07abd99a82c424269848b',
                        '0x680ce682c7a8b739190b87b5a241c18a8753f91fb5e17e8d49d564179dc32705',
                        '0x336b60cea83a745976ef5e9b538e68e23f08ca36a82e7e86e11416248d7642ae',
                        '0x218f5bcba5aa3058698a3afc04b577352fb2f80f7b14e3a524f18ee8f47ddaad',
                        '0x248c9a46578de994253ea201307e1227bee56c442fe3bf8070b8a15b5edce721',
                        '0x24fe264fea8f630e58d76de6db73f498e26bc6448e11c57422c22941d87627cf',
                        '0x4288c843eda8322f191760fae8e58e4849ca4574dfa8f3b1033a92da6471d538',
                        '0x59f65e585c2a86adfebfae1efe157372d0b3d2a5390163682b5c772d508760d5',
                        '0x46e1abce331aaa0f666a38488a7cce0c641ab700ad284acc110f22027872b8a2',
                        '0x3dbb3e5bc03efab4b92577e9dd2033e5b4f0998a4859c7387887fe9a28d09e26',
                        '0x06c6022ee67296a660e3040822155530aecd0469f37a878386aad852d355dc60',
                        '0x43a54194aae3a232a1823f0de7965613b4f734e540771ae88997554b94ec1f4a',
                        '0x0a91910f8d107fb536381e3d9bfde5b04ed48c1277e7fc510095eba58e796724',
                        '0x0ebe7fd1fa0ed36f0c74eecd71f2a0d1e99b56f1bea51e215c4f2e6234b0b61d',
                        '0x36d9d9b688f23a945f9e79b3275948e33c2a852465fc269589af39b0bf56ec73',
                        '0x5b4c88dd6ce9f61c29c1ac0927dc58eb909f5cc2226140e66a9603768cfe12a3',
                        '0x3d31cf3221ca4c4cc423799882d8e26544f0462a7950c9dc97c510ad52378c96',
                        '0x5f161f4fb03fb9bfb968196df6bb7df8d8734dedc5a097fe116377a9688a56d8',
                        '0x47dfa1f449ac562fbe8bf60b21fe19654866d43087a5ac1ec623b5735794c2b9',
                        '0x1d779fdd49c3ff4d90e4b6272f948886256d5c666c623345596e4b41ce1cb927',
                        '0x3ab56f73ce85ed4e4b514916d2a7ca9b625da72cbe43f10fc6a8d00b2965ddd5',
                        '0x05336b7b60ee5b03b30894769ab57abdfec18c74075d55632481d00ae5d61e72',
                        '0x3dd041d6eb2701d69c4b0f5848356abe55734b662b0ea38d8801ec90640629b2',
                        '0x723c231e65b3c68a0988b2f1f44ab0fb7147b5f77e29691d4e741c87ea0938ac',
                        '0x19510427848d1dda9504fc7efe6fbe2cc4705ae82a678f5ba05cd29eb09c8726',
                        '0x1978b6b8be0960dc754bbf55b31f72f629f9e1aac685df7c66e067400c7b08fc',
                        '0x453696075c8af1069bd95131e08f5c554999688572dae9622ca6a0551d3f1ef7',
                        '0x6de334bcbfbb90c9e1d617a0a98ca0cf81153ffb7cae06fb6b1a2ad186cb95bc',
                        '0x237e11e2188ccf0a7ec620cdedf1cd7a16b7f8adc0cb3cfc7692e77cb9633df4',
                        '0x2670ecd18878ccbf1d761640a2fb0166de0f77122b24823e3e0c9b16ff158ac5',
                        '0x205c8467137bd386988167772bd6cb71d7acd8adfde961e1e53a1c459ebf6e0a',
                        '0x06a6de77b8a0010276ab782976e740f2ccd565d94f237ca823df1de7463b9025',
                        '0x34156a9a25ab1b2f1093fd91edc0a1763f99df36e0aca58af9e8f6231d780826',
                        '0x7376f2e0ebca72c5022bb7c0de18cae7c2ccdbbbae72b6e208fa683b823b10e4',
                        '0x40f03fe8763e0a1784c07dc370680ca8d04c87c62e9bbeec3ef3df69ecc995b5',
                        '0x41f44ca852bfea9d62e2dcaadb2c2119dcc607b4244c8d7ec4ad0c5b3ec8beaa',
                        '0x60b57dc1146977110f3d6fb57543322686e7ce29af191e55631bd264edbac885',
                        '0x6e63f4ff9a989e9c91d0ab6ba4c81edd24f3a16297056c78067df936fa0c93cc',
                        '0x18a41c17b212fd351f7fdb70cefd787cd40b1681a73e907e5277cb94b6cccd64',
                        '0x433917512074987d18357bed8edf006136cff999795e67d580c11eb85d9a0ab4',
                        '0x2a28262b86e884bd6be27cfe0a499c5f81c215455497f267ae1ceb9727391651',
                        '0x113f6c6de916f96445d250cf4e9efcc63a92c2ed7f88ac182da7a66f0f14bbe1',
                        '0x511c3b3bd1dee4874c8893985aad7bba0bc6792211c13062631b262ff17ac22f',
                        '0x1c7d11d6690b16ac84ef07d92ad7f9b508c9721364999d4504b7d8362ecda4e8',
                        '0x1e76f329ad7ac912543d275295925bef2d133d63b7b1839072b35d8d5d29becf',
                        '0x55832f50850cf669672d75d31e0e0a19124b601d00de8d550a883627fecbbb30',
                        '0x6a981e267c9c7d536bd9617166da2147edf5c94017e4f07be2ac130573998be1',
                        '0x14fc60a047e84d0c9a5a75c86d8dd87122075c4bd96b5175b5f904acfc363324',
                        '0x6efb2d850c81c1b7f992820578ee46f17c8c86da89f1f10453e512d6cf4e0ac1',
                        '0x3dd2f40b701d45d7cb26496288ebfcd4980e8d34cf9a61a3fd61a30cb88e4205',
                        '0x022bf22abd87300f14bcbd39600e35208c896583d0d96a67de1265fa1440a974',
                        '0x25da4e7c11418088891e25000c74622980a144a0854200e11d2eaae0626ee154',
                        '0x3db83245596bbe6afff73219c47b8255e48555f58141646da390a537f275464f',
                        '0x1336c26c3d091887698f76df287c51525eac6eec478b6b52fd337817ebf3a3b3',
                        '0x48b4a133b99ac84b910b103a4108833452124033d2c0648ffcc54430e62acd3a',
                        '0x6e1fca43a0835b1b9daacc3b14246bd507f711a33c11e63e921219776dd9dac8',
                        '0x45d193362986fb4c122fd0140314b5d8d7a6225ac7697c94ce343ddb6b28aee4',
                        '0x17010777781524deb4ed59746f492a420569bc55f9500ecae03daaa5ef1cc81b',
                        '0x0a65415ed874b6289213bca24bbab216e2d54b696e3d17fbef99077b4613f4bf',
                        '0x4901e70d15a496c00030f33ffe51a42a15f18d2390f6f8f811df05ec0ea95254',
                        '0x3be041d156410da4ea58a42c5218b57ca34ae956ae08c46118ef915fb6fe5582',
                        '0x374302f0b5ba6781847e8d15b331ef4e6253f15a521b78c41c9233d0ed3ee621',
                        '0x5b74f1154e3b5a8e4f3f12a0adea51f66e0913d885e0c4590991998e2cc4febc',
                        '0x5b9b8a6bf821c974f78649137c7a4df653f1f6204b6c0b4dbae7edbaceb23f83',
                        '0x5abb07d3913be306b2f6679332f6005bdda988586396e3a9fd063c288f2e274f',
                        '0x5861985c6ad8159e1a4f056d02df583d9c79c96bae8c3b9313812b4e0b3bda60',
                        '0x3b3a75eb91b0f723bcc4ab7e449e4a011b8960063efe74670c05e545519d9a8c']

round_constants_neptune = ['0x435dbb70fe9639bb3d2e7e1948b167bbcc7c29bed7d24e2ae783b7258c3b9b79',
                           '0x307afe4a167ba0d1d93f60f15346bda015fa08615bc785bd204aee1741264d5',
                           '0x5c0e30ebca2f181197c0f06e98379ea11ca0b657bf1dde1060041f9e959945d2',
                           '0x181b9f96bd7efa33178ba5316e4441a392c2bb1e0d5437a8ff1613f5997cc4cf',
                           '0x428c5fb2bb090a1139904e862c27c1de0beb6790719c72495e4b83053dcdc51e',
                           '0x6966e075558905b9ce6122ae7c5bd2cdd5dc93f394ce03b64e2a6a6267b81206',
                           '0x521a2ac09efda0859ac79dc6b7948ed9d184b70a93397757c7e1e78cb95e2ce6',
                           '0xe09bd2528ba0b94d6ed86121aa48abf769d47c65138c5993a573528d2f09837',
                           '0x1360abae0b804b8f70007cc8953ee7697a650fba556e3f0bdacb8376f4ad5519',
                           '0x616b4bfdf7c135daf2dda0fc23649e67ecadd04666c0c20b25abcaf4325dea5',
                           '0x30d52aeb1848a121c102f3cd4c26c3a8b33a012d9a5d5d370ec2469d6bb621be',
                           '0x29179ed83ab1110b93767b25101a0ed78388651d7926f80d0bedaee66e4dfc37',
                           '0x71e1b7a0d4251e03b897b26d64e19230a94d5579de0114e99172feacaa50f1c',
                           '0x8c69e6eddea48915949a0c7aa08d1d01b5128f7eb998d97b870d9f51f1aecdc',
                           '0xec55a6b06550b25d3df32a9c2e24ae00a89b1a19d65226986033c2bbad66e02',
                           '0x38891749192cdac572a4eb14bdef515ebcfa720fd7170230bacfbb62862401cc',
                           '0x210e13978dc5983b3efc3c3643b0df191cb26f2eb0085079578b1498f6c6f19a',
                           '0xe7df63365732c5484104c7db6676a77ce32e0a4a06f78a54d70e5fd655adbc0',
                           '0x2378638e5e2c069daf8135babf89ce5f62d5fd5f374bc6a85d5d8e835df9a8c3',
                           '0x429b476c33c844ffc774fdb4573a05fcf60f6c62f881b21dc2bedd7ce3d699d9',
                           '0xc1776202f964b1050a843ec1c09d0b2737a3562b0ac9a35d4d341a36fee7b5e',
                           '0x214769f3449c3ec3a1d274c932b9b20b7d58606f1b39ec4d7c550f90f4980d7e',
                           '0x2440ca310753171d1ecb3276fcb1abe78329665f1ee54031f62f02238467fe6e',
                           '0x41d7fc31fb80088dd2e5050e9ca265bf0d3367272b97abe417e3889ec3edc8f6',
                           '0x6acceda1e5b88a6d5e62c93a248225b3d019f22564f7b5dc2aacf619ae2f8647',
                           '0x3bd0c24df838361cf463d5346262b4a83fbdeda25ead4bdf3a0ec683247546a2',
                           '0x1c46861bb307c05ef9744ab2f3f1121944e4c45034ee6ac8f0272e755d4b6f6d',
                           '0xaff9e92f3b43678fe551bbd8f25c2613b03c0b8246079e180a6cd2cbb4c9c24',
                           '0x65c86e5cf041918dd50f1459eae4988cdd99a4bf7d1babfd946ffa235de2e73c',
                           '0x34456093491393fc5ae59ab7c7b6169c0b0939a52e085f495559c23a7c7e6c14',
                           '0x39135f352442c5fa32c3400534c994e279913fabfcd9373bca18052fcef15803',
                           '0x6354a55ec8726101d11a749214be3c6418b1816e577e08f1c1a2f435614896cb',
                           '0xd3b0448c50b68f7baceaccd94552a122b89b786ca620b863c02a7a5bfe774cd',
                           '0x37de17de5d77d1aa293a04e1d2a9ccf8f5f475f1f6d00b2a9e279e20b6df70c3',
                           '0x3f06cd79850df6108be46661a92292eee0981c98d05ec2f553b8e7a6cdd15a13',
                           '0x1190dda4cbcc050860d69d9b0841f371e6ee0f1f3e318a193a3d254c8ea19930',
                           '0x4d486da7382a041ff02f0d19ac57a8d10a46363a3ff70fe6166ecc52d073902d',
                           '0x2b6542eaeb87fc42fcd92147064a91a0214004b6d838afd7346a2716b3ef92cf',
                           '0x57511ad2e251bb9c3510331ef75a449de6ab76044785522e2c58118073734374',
                           '0x3d8b02b647073d6bb96f2e9b27b0fb80748c9fda99003c8529460644a3999544',
                           '0x4d01c4c679e545449955e318ee0d32c66969b9ef7351cbefcff2be6db93d6340',
                           '0xd148334ee5f03afe680a0bfbc479ebba90c149c251c38dc7214d192adc23d59',
                           '0x51cb09abe4ca48849b8ed609a35530063d1e108bef461b57cb4ab256d23c8715',
                           '0x6cb836cc464e1def59ee2eb012ece332dbe6e8d40fe5be20d467f1aac6463a64',
                           '0x4aa865b463081e81767d3a0bb6d996b80b46e60d252d4acdc6a58b686981a4e1',
                           '0x6d74e3ccfee94f471b8e2906f26117fa6ae0a5ecbeb8d5d6be7670950c7ad08e',
                           '0x31de4d8889e45640c1ab6cb3c1e448a59251868082c8661e23ca2494fe20db41',
                           '0xcb45744245e16f06ceaa2fb2a7a867250aeb0b72c1362dbd59e8c42fc272403',
                           '0x2022672836eb3a87b07d2b8e8d3d54e84ef074c3f3711f812ff4b917f724c9bd',
                           '0x14a3a3c5e0772147a6099b58ddea285408e653738c665389206678f49cde7ed0',
                           '0x64aaf5f888bb77306894f4197dd84f69ee9def0215594abdce5ea7981fd7b04a',
                           '0x5966360244e5804391c0a967aa24682ed0d253169803f1de4d7a74610ad696fd',
                           '0x72ab5d880b24076b9ab2bde88b7f6c33b0f7dbebacc7fbcb34b7a8257a7d96d7',
                           '0x6710e136713dc87ff3f9cb210aa1db11394f00ce3b255a9c7c717edb53a62107',
                           '0xb4a708d71ca90ea133e0532a3328c3957ce53f2b9e3fc6d17271d47d9d35b67',
                           '0x4c2375cffbedf2ecde0634f867383938a70cec4f409f728859244d9df7d15154',
                           '0x604027adcb15669476ccba80d2d5c279f7284cadcfca2e5fea7a3dbf25a07ff9',
                           '0x4b3f8fdba7c3c15a60e060fb40c89ac3774a5d05563fbabd283049c681dc3e88',
                           '0x3e4ef282d1a982e9d194441da324ad190ebc272c35f87da4b493731d145ed9e3',
                           '0x3ca36c11fab63fbde4d2b6acd740791e802ebe6888ff85be9be64a34afdb96e0',
                           '0x59b6ac07a1c1e77c48969c3ff79699ce5c341a4dd7716bab3711caefd1e08983',
                           '0x585c41ab8870f47026fcb4920d5a1dfc46afd9193f71f2d6abe9e13f4a37c00',
                           '0x3306f364dce1e440ad2351d33fbe5f15fbdf4d9ff17d27e8b21d14f00e95320a',
                           '0x30a82fe3a10afe039f3e8c2e7546ff76a4a3d4541b58125dbdb0d2516fe8a6ec',
                           '0x688ffb1af4d60ba856a3b19eb147ce65cd68ace786afda1bfc574c9b93250f6e',
                           '0x1ce1b8d7866ead6b29cdce992ab8960686cf3a6bc7feb49c3d460abbcb069c0e',
                           '0x2cbff76a00d623515166d5b581f0adc4f7f713eabfc757e853f667893c90a827',
                           '0x63a260c6e46d75512b405b32c6ec7f8acdd64dd6d53eae4e2e395cdd9f5c520d',
                           '0x42223d517e729c29cd0043929a48b7e3ad9251375c3a869ff7ac95aa98445a0b',
                           '0x4db292dea742799cf5ec29f166d16703d01f66e48c0d2566dff402af4a680a32',
                           '0x61740f9a82c6a4fa9abc516991f0e6b87f0d5a319bb8256026f184513919dffe',
                           '0x66c2eaa8ca804300d86a3972bddb6a53817d1c36af548c7362f79da78aa6816b',
                           '0x1519e66cc576cc14ce2956470e8cdb70420740ecabfa6181c7176a70e79af414',
                           '0x6ebf120fa7c372ce9c7c17a07bdda63e9ea3b2eeb5f4a7bac8d908e7f1209103',
                           '0x5395c9ae6af6ee4858f9344f430ee8208843fde1cf235f97b60bdc5a3e848995',
                           '0x1fa295097c1d41e6fbd9f72fb0af9b5aa3d1a8196821b0305527bf62979b97b0',
                           '0x42ddc7f384cf8f928cde8f88f4ee7d7b62b9163ac70aca740f2bf7e52e38228c',
                           '0x54811c99d6c88a6277fa41dafe17b7a4f2b8ac8582fe266c751fdf7d2a88fd40',
                           '0x3ccbabd0849789cc1c434dd0c7356a0ec71d03db3ab227aec51f2a5abbd8aacb',
                           '0x40d6918f0d6d75cae13b6cc63e771b27ee189301d97a2a207019f1646dfbf810',
                           '0x25a0fac67dce64b86695c1f9986dfd547f51b603f6d73b5c849c9548547e2b32',
                           '0x2307d40b97903f0f59f5df01de9ac9a823edc818619d555ec3d9882bf5ad2fca',
                           '0x398549f8aad34cb56e6f66bc76f30b7e0a0379292e0c9db49ef928719e83c4ae',
                           '0x562b6d5e4cae80684baf14b45f5216ac45e8dd10ff8d99531a94332966a7d8d6',
                           '0xde2f7224c7db546a7aa0b7097c6d48846cbe5ab35adbdbc14a134581a399168',
                           '0x6645f7389026a44284598c2ad679a73a487db8ce965577e57f51361acb684c1b',
                           '0x47987c690cb45bd23189fe76ae6fe562ca7757ebbd5f861e97c6493f20e3058c',
                           '0x6c158b77a9457918cf699d0759b2588e8c3e2083645e4acbc679ffe60b4ed081',
                           '0x3a8f448b6dfdbab048b5f193acd1d89b3c0d8777449a7c9e82836d71fce09cb',
                           '0x6f82e6cb42fa93680f1058179be9ff2463a16bc2af5cfe85bba7b6f78b057b6f',
                           '0x6fdc6c0c05fba5fc05e81673a730002393e23f5d6ac931dcae63255550b941a2',
                           '0x18fd1168c293c5075de568971d285277010e8cc19dc1bf17b2dae0a3a38a0bda',
                           '0x61f681ade3a5eb4308a786c967a76ad142ea814f5fcd788cd326a18d861855ef',
                           '0x46351a8e970814672c6c2a5b8a2c4bf93291d4a7086b321e5d774a214f6cee42',
                           '0x2b48e2821ea22551541577ada2edc1066077c766c1c0a84abeed33b2862624c6',
                           '0x3af5569027cd396d262908fbcaedc7aaebd9ce44995833b312607ad33cfc958',
                           '0x6771e0cbfcd5854b869555fa79c9b46f0704f1ceddb2003538864ac645887231',
                           '0xc60fc4ac4bab581a11fea9b1b5e1e1e4692e78231faedc6719ada9a395e5c84',
                           '0x553b99c71556f4d8ed95945a96d6cc1bf70a0d2307f77d5e6ddcffe852278d5',
                           '0x14b6aea2c0ba14365b3a0c56e937338bb8555c415400e287f8b7bbe67b59b971',
                           '0x5b82bbc5b5c301000e0ce4a34777f6df59ab8540338a32d1eb50426c9bb95309',
                           '0x35f07a3ebc8947fcc9a72c3838bdf80000c0caa346aff7d1fa45ddf3b5892df9',
                           '0x158c739d41772ef413fb5b7b21fcf0e8bfb9fbf9a4318f99d5467d05ece81587',
                           '0x2f7ebdafde0bbe158a265dee8b18a1a4a0151952d06d15f389b2e517292b96eb',
                           '0x41da27c7cb76adb43dc3e4d1afc732aace59618f0e2eb0923372f66504ca3076',
                           '0xa80d961878f34b45b371a87b2ebb1f9b58f3fd2719e5376d802c238796b11e9',
                           '0x6d3885078660fac763b5982bd1f401043b5ca158341d24aff76b84b1df818290',
                           '0x12cec3917acb30cc1e15281aa7bf53d90419d216986623613fb10aca9be742f7',
                           '0x58289c672e594998792c12773554138fe3292caace0bfbadf01cee48ab72240a',
                           '0x31c1bcad4eef1a0d7a73bfc7291951c337860dd5730ffb7400bc9ec72a76de9e',
                           '0x1a28349b10c85633174b26436ec2cbc372ed1afd4b29af83cc89cb94ef457891',
                           '0x5d6e8ad13be5518ec892ed1520c066a64ae425bd392c77b8843b8e842512fbe0',
                           '0xa2a6963b53495afbd3d312c684c5babc0037651d8f180d35d66aef892b9d2b',
                           '0x5572d3d64b5bc3a507568493f71cf86208611fc997e323d8e92bf909b07afe89',
                           '0x2f4d74cea3c17f17d4778ce57e59bc217f8a5856d189079f0b60a681c0e325f3',
                           '0x6689968d8d529724311b6fe789bde980cb92392a91182edc36c57b09f4405304',
                           '0x4d51b3403c6ddcec7ac976e62754c65bc338d5ea651555a876285dfc24702141',
                           '0x6349b82e8184a0f1da93e07a6901fc23cf25bed7d6bedf709249947ee7ed5a35',
                           '0x18a791400b6eefa2b19c6f83e019f170aa6bd445fcf4915f915b621c1573ba44',
                           '0x333d6751bc4ab5d168a2ae3c6ceb237e26ae948bfb205e8b060d383cdd674fe3',
                           '0x374d51e4dee080abb1a2cc25a988ee15320ce11fad84e8eecfe3cf5bae13863f',
                           '0x2b42981ce6690c373ff43ed24e5c784ff2e192d0911ccffdc8262dc532de4867',
                           '0x4a8002ec5feb1b6bafb30fb78d65023254751977478d7af2c7fa0e87b83d926',
                           '0x2f82302976ba29681c7cbcf49d0ad1e1609c1e727e2a40cf30260d3ce57dd6c3',
                           '0x2bf08176879b9da45776d2fd57988de0f12f33ce757411f27dbaa181f9cd9a6b',
                           '0x39851bff4e488eecb8e1f59168682fa47c2d057aaefec12315e2dfcf7df5ee0',
                           '0x605a4bdeadac0722061fbb098c05f47ccdc26ebdb45bda575f0c9495d27f6de4',
                           '0x609c5a5b62e3eb56edbe6dcf30f937502434ff935f5564c0a5d0f686b8c4583a',
                           '0x4d041c087422144212ec8978bcccbf1b8f471799bb8fb5c527f7bf4902fdee49',
                           '0x17e6b7fa91ce16fa1818c61b4871acbbed0e3dd902aae03afaedb7a14c65132f',
                           '0x528644c51eee10eb8373d43a3980b12df839fa178de5791f4cc53fc7cfae9614',
                           '0x60616ade433fdfe048b713947f8b8475954331d393be923e772ef97ba70ebe31',
                           '0x668f41b34ea071e41aad40bc6b04e5102eb2a15500d515c0d6e7013677005d0b',
                           '0x143b1f278815a0285a453ac96e232fd54dc965b7af415a474cbf204a6f4c2654',
                           '0x493726bef63266b200039437e47ee655704f641c785c72de2a7f852653b2aa9f',
                           '0x13dc1ab1544f728cccb110b5d8a3b47b3331e57cfa9882786adb86cc70e55e73',
                           '0x6fdb4a1b633c3e8b52910d143bc78493505fc721a469ebae764aa9d5f2fbd2e3',
                           '0x10c11599636ea832ab3aca48b1a46c1b9a97dd0d5df68cfe2e6ebb2a0d5c1b2d',
                           '0x3d333054b81e7f1a488baaf2972d6b41cd228e7e2fc44bd0dcadde4c50520882',
                           '0x416549b06324046bdc8ea26e337a0a6ddeb83bb76e85ed609f4ffcfee9556fdf',
                           '0x4fc2c645eb8ef43ac68aaef6992cbb7ef2215af392f7cf0bb326efe04b029c3b',
                           '0x3615cdc9e839c98533ce09ec9139c9fb703d65bee903667cdfbeaa374032becf',
                           '0x3723d731de7ebc74575fbe5701cd94ba51dbdd04a37afdbfb917e8f75d52b9ef',
                           '0x4a061269abad785b7d1e3910c2ce47baa807df2be6b8f5154a823c225ba575c8',
                           '0x83a8a784a984f22564334b099cc5db6297ea2831f6c98b92222b48b221fa872',
                           '0x618235c3469a8443bf0c02a5113d258ffa6397c348b5e96369a4ad47781e4f7f',
                           '0x20a22918f833d921243c3d40791e5532bb96632e4c1e6fd65b4a6edb9d12d1a9',
                           '0x15f31ec89c9f83b4681857307fc8b97a4ece66c5049e73000dcb3117c570648e',
                           '0x1458e387ac0fea846f84590101b081bf90185387542d5cc0c097f440d51ec533',
                           '0x3bd2626d79f9b1d5689ceadd8e91ff146972b91bf85006efefd2b01e497ac3bc',
                           '0x1d6a3cb53bc3be5050418257b01d9d5d0b1022538d8d5426cf2ad130a84bda92',
                           '0x408f60ba780bf6331f410c132919f21a91dffb689c2dfd1c8a1e74a202f41f49',
                           '0x6ba975d7b853cc0321a7a236d8cf0dfdb056588ddeaf82f9b82778f6d0a78ede',
                           '0x18a3b273d1e8715a336b3f412a928b81bff10be01094711965c6375a3fbc0730',
                           '0x36fc46cd7f322b010550bc1036f1c7abec5aec8e1a5cf6ef77d7913b662a9704',
                           '0x3418d0dfcab4f80176020091b5a8a8f98e8803122929e5cc9ff632fdb40d8b1a',
                           '0xd910826913820c68af0552f51222e023bef305453ffc848d52796855b43b5f1',
                           '0x636f59eeb8428abed226c38296e39524fff76afb1525959108c0efaf049a47b8',
                           '0x6d5f15e9c5bddcfd6f6f86b9a078f227bcf841a7d908786f5abcee128827233',
                           '0x6e21dbe0b1ca7c453fc8629f3f0ad4e9d01aed47f6cc9d5ed8166c6b00367d22',
                           '0x9d9434f8dc085dfc74a3d15f73d89a1bde46f2c79659015e87a86d4f61e451c',
                           '0x4ffbf816fd76132cc64d02bf952c538b5fb3adc51a31421e718e8f8aaebb8b2f',
                           '0x7061bca7b176fc8893957c8ad8bda36d884c4104895c815cd8e78f49f90e4630',
                           '0x21ddfccc092128048874a0c53156c08f9504a21d94dfc3ebda4d13073363c89a',
                           '0x25e8ae5cc161160ea672beebb4ab2746950cd878072e1264df907ae9eb8fbace',
                           '0x121c45420abf8e5cdab3ec9632c1becb3c42fe32aea83fa5265855d4ce4b51ad',
                           '0x14a00fbc9c1a0319a19fe7dab909e800433556a4d394d50810dd9e42f79cd019',
                           '0x7261bcd2cab92a568d0f0f6d063161d3988579c3d37618775243eff31aa2e748',
                           '0x108a5bb864bef87c1ebcc6dfbe909eb7a792e180fcaa4fb60ce02a48e3f0b03e',
                           '0x34d973e68a2b1179db3fe9937c5454b3adf89e495219ea8df5faaeaa67d30415',
                           '0x1cc5702ef8cb0d489d447d08f7b66d22deed85b2e9e891317717fb1a8e8ac826',
                           '0x1276800cddffa60515a5e57cc2cddcc3419cf1eed8791474c2188ee27eef0a28',
                           '0x26a5bb35746471b63ef933bca24a49d366a58ca54150f0e524592795e1f4f695',
                           '0x25c0a52e174ddcc11b5a3713702824a0608baabe32b55d293b201a0a27c2964d',
                           '0x2b8cda9580ce03aabcd2508cce9bdbdf5b48fa7563c89dbd2db16cba4575e3b0',
                           '0x48f8b225f65fa4f33d31e10698af06c59e387647d421d2005437d3a2a250ca2d',
                           '0x112f07705f98748cc06f8ffd03e31f467d969fd05884db149a21e48537b6b0ef',
                           '0x1a4923cd0a20ff2e2c0c3b89fc6069408e6b594b73061b26d781035a1c3d0872',
                           '0x83130d75669dc95c0ca482e1a10caaf51863cf55af33ac10520e63cc8fc27ad',
                           '0x492227265ac1e9f4b7679ee9975ce8d0b1adb3f9bd0b009c0a740b1de8de057d',
                           '0x56c011941817140f9d524e7bab7c6ba0141bb007ec3699f8b998ce206816fc78',
                           '0x34033f30606670727f5aedfff6be8d2013f3694b614965ed91cac1d8081187ad',
                           '0x1ee164f8a35c64a2c356cc7db807cd83778914344b3549941090bda2c4ba39b',
                           '0x42bb3cf5995d0f35e0214d8c0de0f569ab41e9ef75e71d0674012892d68ac68c',
                           '0x283963400a7600040fe3e0fef299baad9b753a3a95132383e941453fe608cf69',
                           '0x5645c81a6c057a50c7f415d774883607953b3865578cd9ba28101724b1751d05',
                           '0x380a6b4359b921620795b3da872d508b935b811cb6d02c805667ffcb28af4d24',
                           '0x2bad04565d6cc61669143b6ece9a1a77093ddd963c55e3a3cc11c53844041ea6',
                           '0xcf4a15499ae28bad732654915dc1d5b67a511845737909b1cccf50680f5ba31',
                           '0x17c34ab6a23a149f249d490c9e88afc957ede5efbc18eb787890f63327e628e1',
                           '0x38383a5e3b0fbf5350d048c4f16997705e8b9aa0e64da87252a3b21979e11ac5',
                           '0x44f69eb8e9f7e53ea84bfe91293ab3a65f1fe6ab8bf7494e026afac6ac2bf484',
                           '0x69a6655b628cb6e9c6e3b3b94f1ea8a2641c17a561e4a37eccbde34972624e3c',
                           '0xe072d0b971d68d536b76352ed16c6dab0440eca585cab64a4e0ba1e08615410',
                           '0x4733e876b3b3f74ba58cf56b64faf89a95f1e7052599606c84b0b50e476ba880',
                           '0x6d802356b1b924cee10d0bf2f0b480b54306b994218dcb9225e5400eb81b65ef',
                           '0x60865619d73e9c6425faae1db8f9f3a491401b32b578fed491191d4dfaf2f3ac',
                           '0xb04d062c0757ef7ba7f8e54af428969c013d257e1f3d41d0dbbd0bad7711723',
                           '0x22ac7eecc33347bc1c2abd26c1a9b35853bce937c75c542932aa1e87141f3ce0',
                           '0x3ae3a7684111702cbeb86ceb67667cb3abc3afa2c93f0d8d8f2805fdf42c7594',
                           '0x3e6b658310803f709adf8954c9b3b02864b37a490a84597bf74d380c06d0287e',
                           '0x273dc3b92d063f1d67c3e4d61e7bf0dc505f84aafa1243e9ebd12120317abf1',
                           '0x1475088d8c356e610e5f4763d203c62e5bb941bf73a1716c43af9f1d50509f96',
                           '0x1386d879763a44d259f99582124ef6d7302d3da8fd135fc4d8304117bc067fe3',
                           '0x1daa41aa1644ebb8216172bcd30fb28e4e13ae754bd5bb08245fd3e39434e687',
                           '0x124218390fad40862326265e6de2a7651ec5c5a6d422e568952b8fbee667caff',
                           '0x1504f873a252e20b48d74663014532b2eff87628ab2955c97d0c48892c90b9cf',
                           '0x1110bb10c565de009979db75bbe47c466d4cf37b822113f2ce77453e0a87f621',
                           '0x316437b96f9cc8c18cd320e919e0d024fa4a4c487f7d78a2ad03e35df9b24d49',
                           '0x70b15b8c41cb5fe087542b0abb05767d41fe184e67b489f4f0483265c45ae8d6',
                           '0x24699333c2f08060595bea2f67d5c69e016d4dcd6399e9d1dbb6e69de7bc82d8',
                           '0x5f6868c658998b59347d630ff37f438b8ac1cee1156c87a34972c6632d770f22',
                           '0x328922bcbaa152406015cae1a2a1ca9b15519c6cd36588d5f51856182fd5a232',
                           '0x5f1e4cff7c62b3a5bc89ba6fc70e7d20e61502f0b57ee51442b4d40da806b1e0',
                           '0x59b1e88b79a00ed114839aebfd02b95dc11c61e02d871ff73c0ea986b95b409b',
                           '0x4544ccfe8fb21d6a49db579aaa2d23939b6afd73bc8bfaccb9f8e13052638f9a',
                           '0x47a0138447359ad695a898bb9f8f3d7770e74d3d1a382ae786af997d281c20d1',
                           '0x3e385dcf88eca0c3c48bb0efb87d79b7f8da55e4c511f178af6b2d1fac2e12a3',
                           '0x183b5d3b2d59067eab3a4422c7377c8e3f2e752eb9b22c97a8b7389e4fd01113',
                           '0x37562ce51991499f8ad4cfe18ccd472052bda02c9ee4dbdfe3463dae34445d75',
                           '0x421b21857527aa12f79a0d1e1712b31ee3c12f4f82c2e87954cee5bad9899d00',
                           '0x34446ddd54ad408830dac6f68080e4b7d3999eb1cf32484e47cb58dcb4efca49',
                           '0x52f2e208640f3d96cce87b89d5a1f1e100340ee6b59740b613c736e1dbbb7f5',
                           '0x3d4fe52bc2ea3d112fbdabd937c13094cfb2d2914fbb21f6b417c5e08db84af7',
                           '0x23957ffc11794cafe82485702c3e550f9c4254ea1c170acb5f297ada1d6160dd',
                           '0x74918240e1ea0c22f1cb2ab87f019c60c93f97b3bac35766ad9675a9b698880',
                           '0x72a6cb8d1ab3e1c262e67b7383af5989833135965ef0939d3ef5b9a772cb2075',
                           '0x6ed13064351b11a6edb5fad36c09dd2c8ca35a81bed8429699813f0f52c676',
                           '0x14b9a2ca056d4af215d7c4e767a773934bb878263244cdf2fe3d91a923037824',
                           '0x17b7b4546ab94959ae33fef218a61010cee1bef29fefc4bec925b29004c931e8',
                           '0x127647ad48ff4c00766303f7f11ab9e50d3e454a12fdf6e1f0a65d3ffcfed25d',
                           '0x156e8df1f40957f9cddb9109a36990e6435f8f3192475a0421a24b50831169ee',
                           '0x14a93d5ec7b96474fcbb753a9705225989e7222185d3ba3ea98425288f61f947',
                           '0x342428fa567003be2117f74f6e2b64f92d1852b3a19785c85a9dcdc6414739a3',
                           '0x69728785a386d98f1415897eef703c1fd12ea0ebbb08d1a4b86ca4a876970e05',
                           '0x4205dbfd44798d218413a9ad69d1bba8c2171fe686f8d5e5161ef70e470a2dc8',
                           '0x110e7c6c09c770034a4a3159af1552b93b6a5dcca36d4fe17c4d1ad25ef98a60',
                           '0x2995c20c83bb958c655d9d7331ce04fdefbe3795bb41af31346836db93857aa5',
                           '0x2f638c37f8c9b2fd506acc1a6716cbc2e035e6e3c6b7a18bd656bfab5f44bb7a',
                           '0x9163acefb6a19112feb57a0d5dfa40ec9be98bc7393fa651447c2a08b2e92b9',
                           '0x0a14e2951283469d27d64ff53de85bfec39491c9cc17d7867d34f4ac2c7ed1',
                           '0x17cfd1f18d6a19c63f3eba4742556382118ab17655e3dc2a2db314448afb563d',
                           '0x4329d7e65590b914a826cd44e44e9bf40bcb7795dbc9967cdf22f7c235e54944',
                           '0x27ae8b032c813b4068cf9ed7a33e4412c2c2a542c0b852c223488e1835e090f2',
                           '0x71d2902bb26a43c8a22c8e1b0e2c90c0b9e6855ebac5d2759842fea1576d85a',
                           '0x5f85259bbd72609259df9d1eab84634decdd42bca99a7915b1ce0d2d13bc72fe',
                           '0x2694ef88035366770006ac71a69237683c9338cc3170d8ba53af6abcffc0e029',
                           '0x5b9711d919c871e2856571ed2de34f76bcebf1f6338b3149465f1b266fd36c9d',
                           '0x16880111cfebe378ce8f8a9f7ed97a8579533bac735afc9e40c06f5495409075',
                           '0x4d836438f0db187658eed75bae31ce7d978a1932aa894665235fee6e49b77abe',
                           '0x2c03d6f3484ca56c256ba91a1d71a4210d840f07749196ff752c491c79e427f8',
                           '0x350594d4c210d6e66ef4fcbda72c80cd55b3dee5e91250a63d4cad3b14b77478',
                           '0x5d50f9c8ff9b251d03b712c6f8d60f6137d192e69be0a92380a64d310a084e02',
                           '0x1375498a707afe69452fc093e90d23a54563582fa18813f02bfe996d35569f02',
                           '0x23e23d46ea3bc5cfb9aff1642e998710880b414a2048193b5dc642001a9fe1aa',
                           '0x9dbae187a8543426c478b15560ca1838400236b1bf598dbdb1878b35eefe09e']
optimized_round_constants_neptune = ['0x435dbb70fe9639bb3d2e7e1948b167bbcc7c29bed7d24e2ae783b7258c3b9b79',
                                     '0x307afe4a167ba0d1d93f60f15346bda015fa08615bc785bd204aee1741264d5',
                                     '0x5c0e30ebca2f181197c0f06e98379ea11ca0b657bf1dde1060041f9e959945d2',
                                     '0x181b9f96bd7efa33178ba5316e4441a392c2bb1e0d5437a8ff1613f5997cc4cf',
                                     '0x6fe39c6ecaea8586657b75662c5e492e5f8fe93574de5dd415dfaaebdc9f715d',
                                     '0x6b1668e31f7d14145db9be07402ba11df9d311b1a28dcba682f4b2f095c6c007',
                                     '0xd02ce3725cf72376d7179f35ea0e0e80192a2bb1c84eddfd42b5fa894395548',
                                     '0x1d93b58aba1918f0349f448d18f17680cda62644e38395e95cc8842ed20e17c4',
                                     '0x5fa8af477a130b1cb322f93bf4a1bf679fa21d492723c381b696d8584cabb8fb',
                                     '0x30845841af14dbe3b43726de5d486b223d58ae2edc85a41724d0411545e8c260',
                                     '0x314a34f1f34c3134952265e406b30b1244bf6d50b550b4737c70b1df502f87a0',
                                     '0x67a67e2c3f0476e8b08ebf2c6f9bae780265dee16fa3ed20330c3fce66e04c4a',
                                     '0x4238ea9d988f73ff7793efd3d0cac1231e696d11b391e56fdd03662c89b65bca',
                                     '0x2cbf4a1c51a6f16f7c5189b99a45cd804ef37b00ffaf79643c1c21227075ba07',
                                     '0x6c76ecb0ede88d01c88e786882617534a393703b91b23bbb57052eff7af1fb1c',
                                     '0xb6199a56124422a75d28ce0d4cf9dd74e7b8f8a9c4271fd7ffbbba76ca30625',
                                     '0x6eb0b743123059d6d2b69153bf0378d46b21da8e1145889286d367b6dc9b4f54',
                                     '0x4ae3ed21591776502323f84753921571cd84dada5084adfa848169d77055c78a',
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                                     '0x331ffb77f1adb3d562d79c08c75167d877060195ed366faee98df31006c20bb2',
                                     '0x68f2a8f5e2cc523dcf00bf0f7280ea5379d6d72b3334ac8f930327beb024ba3f',
                                     '0x27ac28537da25103454914cb7900451c92288ffd57936e5ecef6397dc941d167',
                                     '0x5a3944ece6e5b0f6aafe24b76d66d83058936e41e78a87620fea885bc8dff730',
                                     '0xbfb44defa099399cb39e4ffd73d75d1d32448240afbcb5a57b1680d5cb8bdf8',
                                     '0x1b5a1f50b24ef622d61130852043bb7fc9559dd5c3530b4bd4fd87c6def9e92a',
                                     '0x418761f09b0e237ef50a19f228607d071c2237e8920bc857980df645cf75fb56',
                                     '0x4b642f1a5dc2e228d6b4ec24a3417ad60f60e6219418a091a5a7ea6646de0cae',
                                     '0x583157005eff67aa73864dda76855297adbdd510f9c0a02da114b8dcc2170a3c',
                                     '0x24531ba104c853bfa4f6a62576ec4e2e18daaed317b1065a6e275e6b34cea906',
                                     '0x3a362e99f6bf2ca20b1dedd7a5c7e089efc35a42221d302ff8674666a1fb9ce4',
                                     '0x1b97f53f24940e5c122f09c84ff5981ef0d8b04c3e71834c9f57810cc323609a',
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                                     '0x51c63d186880e5108e8ffece5a18802c92815c3f7f2e435bea9059398351bc2d',
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                                     '0x1d48599d0e7a8cf0e6781f46a34b7b734d86c85a4cb53ffe98f5b6d6ef9b03d3',
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                                     '0x4ddc2998b4f7a7ba4eac67f8c45d62adc83dae828e5304d5f82b29c12f6c2d37',
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                                     '0x58124e8866dbfbcd13201ba7c9e859483d232bc9d61d8a7f37eaa8bf778de4b',
                                     '0x3f079b1c7dba39a9303e60e386814b657627be77eda2a10bb8dbb3e738b553c4',
                                     '0x4e48506c52301daab568f0a126edcdc597a7f3f5c288af1efcbc75bdc28fff0f',
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                                     '0x5e86ec66332773fb02612f2b4a1874bcc3f55ce4d40628e8be30a759457697e7',
                                     '0x3beee892247297655655babffe9ee89d1311826481f5b994af04411a054cc69b',
                                     '0x65e9fd45718fe2ce0397d33db7da72740ca918be35211f0736cf2737191dd04a',
                                     '0x3621e7cd802935baf348a9dd63f8c2b0c236f2abfd7543096cc6b4ccf8705324',
                                     '0x245071b77abad21dab2f4e0c8f65ab698bda540b10c542e40d3ad297aee87751',
                                     '0x20b3788b1c8829d3d03379430dc04c9b49dbe8314c666521ae502f1ef39c15ad',
                                     '0x1d1e309f746a4656695f58c9118751a62d8ae694ab44e045cdfeb05280cd27ee',
                                     '0x4a3337388dfae5ffc905a0e7771bdf1103671e98d41fdd3a1936f0255d70ef81',
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                                     '0x5a76a5da1ac07ad616cb26866ff5adb13453f782f493f22c16738ba4879ccbf8',
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                                     '0x6cecd3ea4edc8e1f7b932964729e2a6b26bcecf01f0d21f77f68334b0e8b5a6a',
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                                     '0x31c2c2aca873bb1356d7b9862d7731ec5793ace44c4219ad729f33012e5747d9',
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matrix_neptune = [['0x56f23d7e5f361df6266b620607396203fece3b023ffec4ff3fffffff40000001',
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                   '0x22c74bcc2615a595a8f7c0cf3616f401991f4acdb332b532e66666661999999a']]

pre_matrix_neptune = [['0x56f23d7e5f361df6266b620607396203fece3b023ffec4ff3fffffff40000001',
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                      ['0x458e97984c2b4b2b51ef819e6c2de803323e959b66656a65cccccccc33333334',
                       '0x59c4248a04d8de9918d14a6f9f71bda542337b0d83ad6ee258184f5e691da933',
                       '0x64ff3e0d57d822533c1dc033bebe31151d3ce185420cc74d3f53b5ec019240a7',
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                      ['0x609b60c54d5893118005895c0806deaf1b1e08ad2aa94ca9d555555480000001',
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                      ['0x211f5460e751918257c7624b7077624aaa362edc49241a48db6db6db24924925',
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                       '0x32eae99f661e70b59af49997c2fef599a0b5381213f4d238ac7ebff4e6020609',
                       '0x173742aab932f5396869d496d2886def898584226a74144dfa12a16af30e24cf']]

sparse_matrices_neptune = [[['0x56f23d7e5f361df6266b620607396203fece3b023ffec4ff3fffffff40000001',
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                            ['0x6ce6dd044a7fd004734d89e2d985d36fa7089579b7866fdad93a1b62d182197f',
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                               ['0x21cda2e836967051cee10e01dbb5754298d8229e64bb2e070aa6afbfc852df58',
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                               ['0x53e1b04bb2fac31551b49ddcfc4c0bdde685e3957359d3196558de8fade735d0',
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                               ['0x664e67237334a19f1291bbeea11b522b2a36842a77309177d7f3b0f6c6efc555',
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                               ['0x7389799f0fe1f2495c735b9054052daa14da96864add31c27285d3e283a06d09',
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                               ['0x286454d0c8765941ea89b77ea39fae692a4d375a53964b6ee6d2e60d110a35d6',
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                               ['0x4b970afd1896d92348598ff5a28f54789ab45819c1d35ed601c4a2d4987cf859',
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