#[cfg(feature = "u32_backend")]
use backend::serial::u32::field::FieldElement2625;

#[cfg(feature = "u64_backend")]
use backend::serial::u64::field::FieldElement51;

use edwards::EdwardsBasepointTable;

use backend::serial::curve_models::AffineNielsPoint;

use window::LookupTable;

/// Table containing precomputed multiples of the Ed25519 basepoint \\(B = (x, 4/5)\\).
pub const ED25519_BASEPOINT_TABLE: EdwardsBasepointTable = ED25519_BASEPOINT_TABLE_INNER_DOC_HIDDEN;

/// Inner constant, used to avoid filling the docs with precomputed points.
#[doc(hidden)]
pub const ED25519_BASEPOINT_TABLE_INNER_DOC_HIDDEN: EdwardsBasepointTable = EdwardsBasepointTable([
	LookupTable([AffineNielsPoint{
	y_plus_x: FieldElement51([3540182452943730, 2497478415033846, 2521227595762870, 1462984067271729, 2389212253076811]),
	y_minus_x: FieldElement51([62697248952638, 204681361388450, 631292143396476, 338455783676468, 1213667448819585]),
	xy2d: FieldElement51([301289933810280, 1259582250014073, 1422107436869536, 796239922652654, 1953934009299142])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([3632771708514775, 790832306631235, 2067202295274102, 1995808275510000, 1566530869037010]),
	y_minus_x: FieldElement51([463307831301544, 432984605774163, 1610641361907204, 750899048855000, 1894842303421586]),
	xy2d: FieldElement51([748439484463711, 1033211726465151, 1396005112841647, 1611506220286469, 1972177495910992])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([1601611775252272, 1720807796594148, 1132070835939856, 3512254832574799, 2147779492816910]),
	y_minus_x: FieldElement51([316559037616741, 2177824224946892, 1459442586438991, 1461528397712656, 751590696113597]),
	xy2d: FieldElement51([1850748884277385, 1200145853858453, 1068094770532492, 672251375690438, 1586055907191707])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([934282339813791, 1846903124198670, 1172395437954843, 1007037127761661, 1830588347719256]),
	y_minus_x: FieldElement51([1694390458783935, 1735906047636159, 705069562067493, 648033061693059, 696214010414170]),
	xy2d: FieldElement51([1121406372216585, 192876649532226, 190294192191717, 1994165897297032, 2245000007398739])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([769950342298400, 2384754244604994, 3095885746880802, 3225892188161580, 2977876099231263]),
	y_minus_x: FieldElement51([425251763115706, 608463272472562, 442562545713235, 837766094556764, 374555092627893]),
	xy2d: FieldElement51([1086255230780037, 274979815921559, 1960002765731872, 929474102396301, 1190409889297339])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([1388594989461809, 316767091099457, 2646098655878230, 1230079486801004, 1440737038838979]),
	y_minus_x: FieldElement51([7380825640100, 146210432690483, 304903576448906, 1198869323871120, 997689833219095]),
	xy2d: FieldElement51([1181317918772081, 114573476638901, 262805072233344, 265712217171332, 294181933805782])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([2916800678241215, 2065379846933858, 2622030924071124, 2602788184473875, 1233371373142984]),
	y_minus_x: FieldElement51([2019367628972465, 676711900706637, 110710997811333, 1108646842542025, 517791959672113]),
	xy2d: FieldElement51([965130719900578, 247011430587952, 526356006571389, 91986625355052, 2157223321444601])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([4320419353804412, 4218074731744053, 957728544705548, 729906502578991, 2411634706750414]),
	y_minus_x: FieldElement51([2073601412052185, 31021124762708, 264500969797082, 248034690651703, 1030252227928288]),
	xy2d: FieldElement51([551790716293402, 1989538725166328, 801169423371717, 2052451893578887, 678432056995012])
}]),
	LookupTable([AffineNielsPoint{
	y_plus_x: FieldElement51([1368953770187805, 3042147450398169, 2689308289352409, 2142576377050579, 1932081720066286]),
	y_minus_x: FieldElement51([953638594433374, 1092333936795051, 1419774766716690, 805677984380077, 859228993502513]),
	xy2d: FieldElement51([1200766035879111, 20142053207432, 1465634435977050, 1645256912097844, 295121984874596])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([1735718747031538, 1248237894295956, 1204753118328107, 976066523550493, 2317743583219840]),
	y_minus_x: FieldElement51([1060098822528990, 1586825862073490, 212301317240126, 1975302711403555, 666724059764335]),
	xy2d: FieldElement51([1091990273418756, 1572899409348578, 80968014455247, 306009358661350, 1520450739132526])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([3732317023121341, 1511153322193951, 3496143672676420, 2556587964178488, 2620936670181690]),
	y_minus_x: FieldElement51([2151330273626164, 762045184746182, 1688074332551515, 823046109005759, 907602769079491]),
	xy2d: FieldElement51([2047386910586836, 168470092900250, 1552838872594810, 340951180073789, 360819374702533])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([1982622644432037, 2014393600336956, 2380709022489462, 3869592437614438, 2357094095599062]),
	y_minus_x: FieldElement51([980234343912898, 1712256739246056, 588935272190264, 204298813091998, 841798321043288]),
	xy2d: FieldElement51([197561292938973, 454817274782871, 1963754960082318, 2113372252160468, 971377527342673])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([2416499262514576, 2254927265442919, 3451304785234000, 1766155447043651, 1899238924683527]),
	y_minus_x: FieldElement51([732262946680281, 1674412764227063, 2182456405662809, 1350894754474250, 558458873295247]),
	xy2d: FieldElement51([2103305098582922, 1960809151316468, 715134605001343, 1454892949167181, 40827143824949])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([1239289043050193, 1744654158124578, 758702410031698, 4048562808759936, 2253402870349013]),
	y_minus_x: FieldElement51([2232056027107988, 987343914584615, 2115594492994461, 1819598072792159, 1119305654014850]),
	xy2d: FieldElement51([320153677847348, 939613871605645, 641883205761567, 1930009789398224, 329165806634126])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([3232730304159378, 1242488692177892, 1251446316964684, 1086618677993530, 1961430968465772]),
	y_minus_x: FieldElement51([276821765317453, 1536835591188030, 1305212741412361, 61473904210175, 2051377036983058]),
	xy2d: FieldElement51([833449923882501, 1750270368490475, 1123347002068295, 185477424765687, 278090826653186])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([794524995833413, 1849907304548286, 2305148486158393, 1272368559505216, 1147304168324779]),
	y_minus_x: FieldElement51([1504846112759364, 1203096289004681, 562139421471418, 274333017451844, 1284344053775441]),
	xy2d: FieldElement51([483048732424432, 2116063063343382, 30120189902313, 292451576741007, 1156379271702225])
}]),
	LookupTable([AffineNielsPoint{
	y_plus_x: FieldElement51([3180171966714267, 2147692869914563, 1455665844462196, 1986737809425946, 2437006863943337]),
	y_minus_x: FieldElement51([137732961814206, 706670923917341, 1387038086865771, 1965643813686352, 1384777115696347]),
	xy2d: FieldElement51([481144981981577, 2053319313589856, 2065402289827512, 617954271490316, 1106602634668125])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([2948097833334040, 3145099472726142, 1148636718636008, 2278533891034865, 2203955659340680]),
	y_minus_x: FieldElement51([657390353372855, 998499966885562, 991893336905797, 810470207106761, 343139804608786]),
	xy2d: FieldElement51([791736669492960, 934767652997115, 824656780392914, 1759463253018643, 361530362383518])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([2022541353055578, 4346500076272714, 3802807888710933, 2494585331103411, 2947785218648809]),
	y_minus_x: FieldElement51([1287487199965223, 2215311941380308, 1552928390931986, 1664859529680196, 1125004975265243]),
	xy2d: FieldElement51([677434665154918, 989582503122485, 1817429540898386, 1052904935475344, 1143826298169798])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([2619066141993637, 2570231002607651, 2947429167440602, 2885885471266079, 2276381426249673]),
	y_minus_x: FieldElement51([773360688841258, 1815381330538070, 363773437667376, 539629987070205, 783280434248437]),
	xy2d: FieldElement51([180820816194166, 168937968377394, 748416242794470, 1227281252254508, 1567587861004268])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([2730575372268893, 2062896624554806, 2951191072970647, 2609899222113120, 1277310261461760]),
	y_minus_x: FieldElement51([1984740906540026, 1079164179400229, 1056021349262661, 1659958556483663, 1088529069025527]),
	xy2d: FieldElement51([580736401511151, 1842931091388998, 1177201471228238, 2075460256527244, 1301133425678027])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([1515728832059163, 1575261009617579, 1510246567196186, 2442877836294952, 2368461529974388]),
	y_minus_x: FieldElement51([1295295738269652, 1714742313707026, 545583042462581, 2034411676262552, 1513248090013606]),
	xy2d: FieldElement51([230710545179830, 30821514358353, 760704303452229, 390668103790604, 573437871383156])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([3421179921230875, 2514967047430861, 4274701112739695, 3071700566936367, 4275698278559832]),
	y_minus_x: FieldElement51([2102254323485823, 1570832666216754, 34696906544624, 1993213739807337, 70638552271463]),
	xy2d: FieldElement51([894132856735058, 548675863558441, 845349339503395, 1942269668326667, 1615682209874691])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([3539470031223082, 1222355136884919, 1846481788678694, 1150426571265110, 1613523400722047]),
	y_minus_x: FieldElement51([793388516527298, 1315457083650035, 1972286999342417, 1901825953052455, 338269477222410]),
	xy2d: FieldElement51([550201530671806, 778605267108140, 2063911101902983, 115500557286349, 2041641272971022])
}]),
	LookupTable([AffineNielsPoint{
	y_plus_x: FieldElement51([717255318455100, 519313764361315, 2080406977303708, 541981206705521, 774328150311600]),
	y_minus_x: FieldElement51([261715221532238, 1795354330069993, 1496878026850283, 499739720521052, 389031152673770]),
	xy2d: FieldElement51([1997217696294013, 1717306351628065, 1684313917746180, 1644426076011410, 1857378133465451])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([3727234538477877, 2328731709971226, 3368528843456914, 2002544139318041, 2977347647489186]),
	y_minus_x: FieldElement51([2022306639183567, 726296063571875, 315345054448644, 1058733329149221, 1448201136060677]),
	xy2d: FieldElement51([1710065158525665, 1895094923036397, 123988286168546, 1145519900776355, 1607510767693874])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([2813405189107769, 1071733543815036, 2383296312486238, 1946868434569998, 3079937947649451]),
	y_minus_x: FieldElement51([1548495173745801, 442310529226540, 998072547000384, 553054358385281, 644824326376171]),
	xy2d: FieldElement51([1445526537029440, 2225519789662536, 914628859347385, 1064754194555068, 1660295614401091])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([3451490036797185, 2275827949507588, 2318438102929588, 2309425969971222, 2816893781664854]),
	y_minus_x: FieldElement51([876926774220824, 554618976488214, 1012056309841565, 839961821554611, 1414499340307677]),
	xy2d: FieldElement51([703047626104145, 1266841406201770, 165556500219173, 486991595001879, 1011325891650656])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([1622861044480487, 1156394801573634, 4120932379100752, 2578903799462977, 2095342781472283]),
	y_minus_x: FieldElement51([334886927423922, 489511099221528, 129160865966726, 1720809113143481, 619700195649254]),
	xy2d: FieldElement51([1646545795166119, 1758370782583567, 714746174550637, 1472693650165135, 898994790308209])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([2585203586724508, 2547572356138185, 1693106465353609, 912330357530760, 2723035471635610]),
	y_minus_x: FieldElement51([1811196219982022, 1068969825533602, 289602974833439, 1988956043611592, 863562343398367]),
	xy2d: FieldElement51([906282429780072, 2108672665779781, 432396390473936, 150625823801893, 1708930497638539])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([925664675702309, 2273216662253932, 4083236455546587, 601157008940112, 2623617868729744]),
	y_minus_x: FieldElement51([1479786007267725, 1738881859066675, 68646196476567, 2146507056100328, 1247662817535471]),
	xy2d: FieldElement51([52035296774456, 939969390708103, 312023458773250, 59873523517659, 1231345905848899])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([2895154920100990, 2541986621181021, 2013561737429022, 2571447883196794, 2645536492181409]),
	y_minus_x: FieldElement51([129358342392716, 1932811617704777, 1176749390799681, 398040349861790, 1170779668090425]),
	xy2d: FieldElement51([2051980782668029, 121859921510665, 2048329875753063, 1235229850149665, 519062146124755])
}]),
	LookupTable([AffineNielsPoint{
	y_plus_x: FieldElement51([3859970785658325, 2667608874045675, 1350468408164765, 2038620059057678, 3278704299674360]),
	y_minus_x: FieldElement51([1837656083115103, 1510134048812070, 906263674192061, 1821064197805734, 565375124676301]),
	xy2d: FieldElement51([578027192365650, 2034800251375322, 2128954087207123, 478816193810521, 2196171989962750])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([1633188840273120, 3104586986058956, 1548762607215795, 1266275218902681, 3359018017010381]),
	y_minus_x: FieldElement51([462189358480054, 1784816734159228, 1611334301651368, 1303938263943540, 707589560319424]),
	xy2d: FieldElement51([1038829280972848, 38176604650029, 753193246598573, 1136076426528122, 595709990562434])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([3660251634545082, 2194984964010832, 2198361797561729, 1061962440055713, 1645147963442934]),
	y_minus_x: FieldElement51([4701053362120, 1647641066302348, 1047553002242085, 1923635013395977, 206970314902065]),
	xy2d: FieldElement51([1750479161778571, 1362553355169293, 1891721260220598, 966109370862782, 1024913988299801])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([2464498862816952, 1117950018299774, 1873945661751056, 3655602735669306, 2382695896337945]),
	y_minus_x: FieldElement51([636808533673210, 1262201711667560, 390951380330599, 1663420692697294, 561951321757406]),
	xy2d: FieldElement51([520731594438141, 1446301499955692, 273753264629267, 1565101517999256, 1019411827004672])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([3178327305714638, 3443653291096626, 734233225181170, 2435838701226518, 4042225960010590]),
	y_minus_x: FieldElement51([1464651961852572, 1483737295721717, 1519450561335517, 1161429831763785, 405914998179977]),
	xy2d: FieldElement51([996126634382301, 796204125879525, 127517800546509, 344155944689303, 615279846169038])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([2990523894660505, 2188666632415295, 1961313708559162, 1506545807547587, 3403101452654988]),
	y_minus_x: FieldElement51([622917337413835, 1218989177089035, 1284857712846592, 970502061709359, 351025208117090]),
	xy2d: FieldElement51([2067814584765580, 1677855129927492, 2086109782475197, 235286517313238, 1416314046739645])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([2838644076315587, 2559244195637442, 458399356043425, 2853867838192310, 3280348017100490]),
	y_minus_x: FieldElement51([678489922928203, 2016657584724032, 90977383049628, 1026831907234582, 615271492942522]),
	xy2d: FieldElement51([301225714012278, 1094837270268560, 1202288391010439, 644352775178361, 1647055902137983])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([1210746697896459, 1416608304244708, 2938287290903104, 3496931005119382, 3303038150540984]),
	y_minus_x: FieldElement51([1135604073198207, 1683322080485474, 769147804376683, 2086688130589414, 900445683120379]),
	xy2d: FieldElement51([1971518477615628, 401909519527336, 448627091057375, 1409486868273821, 1214789035034363])
}]),
	LookupTable([AffineNielsPoint{
	y_plus_x: FieldElement51([1364039144731711, 1897497433586190, 2203097701135459, 2397261210496499, 1349844460790698]),
	y_minus_x: FieldElement51([1045230323257973, 818206601145807, 630513189076103, 1672046528998132, 807204017562437]),
	xy2d: FieldElement51([439961968385997, 386362664488986, 1382706320807688, 309894000125359, 2207801346498567])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([3480804500082836, 3172443782216110, 2375775707596425, 2933223806901024, 1400559197080972]),
	y_minus_x: FieldElement51([2003766096898049, 170074059235165, 1141124258967971, 1485419893480973, 1573762821028725]),
	xy2d: FieldElement51([729905708611432, 1270323270673202, 123353058984288, 426460209632942, 2195574535456672])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([1271140255321216, 2044363183174497, 2303925201319937, 3696920060379952, 3194341800024331]),
	y_minus_x: FieldElement51([1761608437466135, 583360847526804, 1586706389685493, 2157056599579261, 1170692369685772]),
	xy2d: FieldElement51([871476219910823, 1878769545097794, 2241832391238412, 548957640601001, 690047440233174])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([2548994545820755, 1366347803776819, 3552985325930849, 561849853336293, 1533554921345731]),
	y_minus_x: FieldElement51([999628998628371, 1132836708493400, 2084741674517453, 469343353015612, 678782988708035]),
	xy2d: FieldElement51([2189427607417022, 699801937082607, 412764402319267, 1478091893643349, 2244675696854460])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([3964091869651792, 2456213404310121, 3657538451018088, 2660781114515010, 3112882032961968]),
	y_minus_x: FieldElement51([508561155940631, 966928475686665, 2236717801150132, 424543858577297, 2089272956986143]),
	xy2d: FieldElement51([221245220129925, 1156020201681217, 491145634799213, 542422431960839, 828100817819207])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([2405556784925632, 1299874139923976, 2644898978945750, 1058234455773021, 996989038681183]),
	y_minus_x: FieldElement51([559086812798481, 573177704212711, 1629737083816402, 1399819713462595, 1646954378266038]),
	xy2d: FieldElement51([1887963056288059, 228507035730124, 1468368348640282, 930557653420194, 613513962454686])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([1224529808187534, 1577022856702685, 2206946542980843, 625883007765001, 2531730607197406]),
	y_minus_x: FieldElement51([1076287717051609, 1114455570543035, 187297059715481, 250446884292121, 1885187512550540]),
	xy2d: FieldElement51([902497362940219, 76749815795675, 1657927525633846, 1420238379745202, 1340321636548352])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([1129576631190765, 3533793823712575, 996844254743017, 2509676177174497, 3402650555740265]),
	y_minus_x: FieldElement51([628740660038789, 1943038498527841, 467786347793886, 1093341428303375, 235413859513003]),
	xy2d: FieldElement51([237425418909360, 469614029179605, 1512389769174935, 1241726368345357, 441602891065214])
}]),
	LookupTable([AffineNielsPoint{
	y_plus_x: FieldElement51([3988217766743784, 726531315520507, 1833335034432527, 1629442561574747, 2876218732971333]),
	y_minus_x: FieldElement51([1960754663920689, 497040957888962, 1909832851283095, 1271432136996826, 2219780368020940]),
	xy2d: FieldElement51([1537037379417136, 1358865369268262, 2130838645654099, 828733687040705, 1999987652890901])
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	xy2d: FieldElement51([1465551264822703, 152905080555927, 680334307368453, 173227184634745, 666407097159852])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([2111017076203943, 3630560299479595, 1248583954016455, 3604089008549670, 1895180776543895]),
	y_minus_x: FieldElement51([171348223915638, 662766099800389, 462338943760497, 466917763340314, 656911292869115]),
	xy2d: FieldElement51([488623681976577, 866497561541722, 1708105560937768, 1673781214218839, 1506146329818807])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([2412225278142205, 950394373239688, 2682296937026182, 711676555398831, 320964687779005]),
	y_minus_x: FieldElement51([988979367990485, 1359729327576302, 1301834257246029, 294141160829308, 29348272277475]),
	xy2d: FieldElement51([1434382743317910, 100082049942065, 221102347892623, 186982837860588, 1305765053501834])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([2205916462268190, 2751663643476068, 961960554686615, 2409862576442233, 1841471168298304]),
	y_minus_x: FieldElement51([1191737341426592, 1847042034978363, 1382213545049056, 1039952395710448, 788812858896859]),
	xy2d: FieldElement51([1346965964571152, 1291881610839830, 2142916164336056, 786821641205979, 1571709146321039])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([787164375951248, 2454669019058437, 3608390234717387, 1431233331032509, 786341368775957]),
	y_minus_x: FieldElement51([492448143532951, 304105152670757, 1761767168301056, 233782684697790, 1981295323106089]),
	xy2d: FieldElement51([665807507761866, 1343384868355425, 895831046139653, 439338948736892, 1986828765695105])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([3007896024559801, 1721699973539148, 2510565115413133, 1390588532210644, 1212530909934781]),
	y_minus_x: FieldElement51([852891097972275, 1816988871354562, 1543772755726524, 1174710635522444, 202129090724628]),
	xy2d: FieldElement51([1205281565824323, 22430498399418, 992947814485516, 1392458699738672, 688441466734558])
}, AffineNielsPoint{
	y_plus_x: FieldElement51([3302427242100220, 1955849529137134, 2171162376368357, 2343545681983462, 447733118757825]),
	y_minus_x: FieldElement51([1287181461435438, 622722465530711, 880952150571872, 741035693459198, 311565274989772]),
	xy2d: FieldElement51([1003649078149734, 545233927396469, 1849786171789880, 1318943684880434, 280345687170552])
}]),
]);




use window::NafLookupTable8;
/// Odd multiples of the basepoint `[B, 3B, 5B, 7B, 9B, 11B, 13B, 15B, ..., 127B]`.
pub(crate) const AFFINE_ODD_MULTIPLES_OF_BASEPOINT: NafLookupTable8<AffineNielsPoint> = NafLookupTable8([
	AffineNielsPoint{
	y_plus_x: FieldElement51([3540182452943730, 2497478415033846, 2521227595762870, 1462984067271729, 2389212253076811]),
	y_minus_x: FieldElement51([62697248952638, 204681361388450, 631292143396476, 338455783676468, 1213667448819585]),
	xy2d: FieldElement51([301289933810280, 1259582250014073, 1422107436869536, 796239922652654, 1953934009299142])
},
	AffineNielsPoint{
	y_plus_x: FieldElement51([1601611775252272, 1720807796594148, 1132070835939856, 3512254832574799, 2147779492816910]),
	y_minus_x: FieldElement51([316559037616741, 2177824224946892, 1459442586438991, 1461528397712656, 751590696113597]),
	xy2d: FieldElement51([1850748884277385, 1200145853858453, 1068094770532492, 672251375690438, 1586055907191707])
},
	AffineNielsPoint{
	y_plus_x: FieldElement51([769950342298400, 2384754244604994, 3095885746880802, 3225892188161580, 2977876099231263]),
	y_minus_x: FieldElement51([425251763115706, 608463272472562, 442562545713235, 837766094556764, 374555092627893]),
	xy2d: FieldElement51([1086255230780037, 274979815921559, 1960002765731872, 929474102396301, 1190409889297339])
},
	AffineNielsPoint{
	y_plus_x: FieldElement51([2916800678241215, 2065379846933858, 2622030924071124, 2602788184473875, 1233371373142984]),
	y_minus_x: FieldElement51([2019367628972465, 676711900706637, 110710997811333, 1108646842542025, 517791959672113]),
	xy2d: FieldElement51([965130719900578, 247011430587952, 526356006571389, 91986625355052, 2157223321444601])
},
	AffineNielsPoint{
	y_plus_x: FieldElement51([1802695059464988, 1664899123557221, 2845359304426105, 2160434469266658, 3179370264440279]),
	y_minus_x: FieldElement51([1725674970513508, 1933645953859181, 1542344539275782, 1767788773573747, 1297447965928905]),
	xy2d: FieldElement51([1381809363726107, 1430341051343062, 2061843536018959, 1551778050872521, 2036394857967624])
},
	AffineNielsPoint{
	y_plus_x: FieldElement51([4222693909998302, 2779866139518454, 1619374932191226, 2207306624415883, 1169170329061080]),
	y_minus_x: FieldElement51([2070390218572616, 1458919061857835, 624171843017421, 1055332792707765, 433987520732508]),
	xy2d: FieldElement51([893653801273833, 1168026499324677, 1242553501121234, 1306366254304474, 1086752658510815])
},
	AffineNielsPoint{
	y_plus_x: FieldElement51([2465253816303469, 3191571337672685, 1159882208056013, 2569188183312765, 621213314200686]),
	y_minus_x: FieldElement51([1971678598905747, 338026507889165, 762398079972271, 655096486107477, 42299032696322]),
	xy2d: FieldElement51([177130678690680, 1754759263300204, 1864311296286618, 1180675631479880, 1292726903152791])
},
	AffineNielsPoint{
	y_plus_x: FieldElement51([1913163449625248, 2712579013977241, 2193883288642313, 1008900146920800, 1721983679009502]),
	y_minus_x: FieldElement51([1070401523076875, 1272492007800961, 1910153608563310, 2075579521696771, 1191169788841221]),
	xy2d: FieldElement51([692896803108118, 500174642072499, 2068223309439677, 1162190621851337, 1426986007309901])
},
	AffineNielsPoint{
	y_plus_x: FieldElement51([1819621230288238, 2735700366193240, 1755134670739586, 3080648199451191, 4172807995775876]),
	y_minus_x: FieldElement51([992069868904071, 799011518185730, 1777586403832768, 1134820506145684, 1999461475558530]),
	xy2d: FieldElement51([425204543703124, 2040469794090382, 1651690622153809, 1500530168597569, 1253908377065966])
},
	AffineNielsPoint{
	y_plus_x: FieldElement51([2105824306960939, 1387520302709358, 3633176580451016, 2211816663841753, 1629085891776489]),
	y_minus_x: FieldElement51([1485201376284999, 1022406647424656, 504181009209019, 962621520820995, 590876713147230]),
	xy2d: FieldElement51([265873406365287, 1192742653492898, 88553098803050, 525037770869640, 1266933811251234])
},
	AffineNielsPoint{
	y_plus_x: FieldElement51([3552316659826612, 1254279525791875, 1609927932077699, 3578654071679972, 3750681296069893]),
	y_minus_x: FieldElement51([37186803519861, 1404297334376301, 578519728836650, 1740727951192592, 2095534282477028]),
	xy2d: FieldElement51([833234263154399, 2023862470013762, 1854137933982069, 853924318090959, 1589812702805850])
},
	AffineNielsPoint{
	y_plus_x: FieldElement51([3679150557957763, 1319179453661745, 497496853611112, 2665464286942351, 1208137952365560]),
	y_minus_x: FieldElement51([1654513078530905, 907489875842908, 126098711296368, 1726320004173677, 28269495058173]),
	xy2d: FieldElement51([114436686957443, 532739313025996, 115428841215897, 2191499400074366, 370280402676434])
},
	AffineNielsPoint{
	y_plus_x: FieldElement51([1111146849833253, 2016430049079759, 1860522747477948, 3537164738290194, 4137142824844184]),
	y_minus_x: FieldElement51([429069864577128, 975327637149449, 237881983565075, 1654761232378630, 2122527599091807]),
	xy2d: FieldElement51([2093793463548278, 754827233241879, 1420389751719629, 1829952782588138, 2011865756773717])
},
	AffineNielsPoint{
	y_plus_x: FieldElement51([676293365438898, 2850296017886344, 1205350322490195, 2763699392265669, 2133931188538142]),
	y_minus_x: FieldElement51([48340340349120, 1299261101494832, 1137329686775218, 1534848106674340, 1351662218216799]),
	xy2d: FieldElement51([1904520614137939, 1590301001714014, 215781420985270, 2043534301034629, 1970888949300424])
},
	AffineNielsPoint{
	y_plus_x: FieldElement51([2365217962409710, 2061307169694064, 1887478590157603, 2169639621284316, 2373810867477200]),
	y_minus_x: FieldElement51([1020052624656948, 1260412094216707, 366721640607121, 585331442306596, 345876457758061]),
	xy2d: FieldElement51([975390299880933, 1066555195234642, 12651997758352, 1184252205433068, 1058378155074223])
},
	AffineNielsPoint{
	y_plus_x: FieldElement51([1431537716602643, 2024827957433813, 3746434518400495, 1087794891033550, 2156817571680455]),
	y_minus_x: FieldElement51([929288033346881, 255179964546973, 711057989588035, 208899572612840, 185348357387383]),
	xy2d: FieldElement51([823689746424808, 47266130989546, 209403309368097, 1100966895202707, 710792075292719])
},
	AffineNielsPoint{
	y_plus_x: FieldElement51([2311213117823762, 3296668540922318, 2004276520649823, 1861500579441125, 3148029033359833]),
	y_minus_x: FieldElement51([1563693677475261, 1843782073741194, 1950700654453170, 911540858113949, 2085151496302359]),
	xy2d: FieldElement51([1427880892005482, 106216431121745, 42608394782284, 1217295886989793, 1514235272796882])
},
	AffineNielsPoint{
	y_plus_x: FieldElement51([3544335535746750, 2367994491347456, 2567261456502612, 1854058085060971, 2263545563461076]),
	y_minus_x: FieldElement51([787426011300053, 2105981035769060, 1130476291127206, 1748659348100075, 53470983013756]),
	xy2d: FieldElement51([553548273865386, 5927805718390, 65184587381926, 633576679686953, 576048559439973])
},
	AffineNielsPoint{
	y_plus_x: FieldElement51([993787326657446, 3868807161609258, 1615796046728943, 2514644292681953, 2059021068660907]),
	y_minus_x: FieldElement51([251010270518880, 1681684095763484, 1521949356387564, 431593457045116, 1855308922422910]),
	xy2d: FieldElement51([618490909691959, 1257497595618257, 202952467594088, 35577762721238, 1494883566841973])
},
	AffineNielsPoint{
	y_plus_x: FieldElement51([1673474571932262, 2409784519770613, 2636095316260487, 2761112584601925, 3333713288149876]),
	y_minus_x: FieldElement51([1600640202645197, 1019569075331823, 1041916487915822, 1680448171313267, 2126903137527901]),
	xy2d: FieldElement51([894964745143659, 106116880092678, 1009869382959477, 317866368542032, 1986983122763912])
},
	AffineNielsPoint{
	y_plus_x: FieldElement51([1765281781276487, 2863247187455184, 2589075472439062, 1386435905543054, 2182338478845320]),
	y_minus_x: FieldElement51([1144730936996693, 2213315231278180, 1489676672185125, 665039429138074, 1131283313040268]),
	xy2d: FieldElement51([2004734176670602, 1738311085075235, 418866995976618, 1050782508034394, 577747313404652])
},
	AffineNielsPoint{
	y_plus_x: FieldElement51([2185209688340293, 1309276076461009, 2514740038571278, 3994889904012999, 3018098826231021]),
	y_minus_x: FieldElement51([1405936970888515, 1754621155316654, 1211862168554999, 1813045702919083, 997853418197172]),
	xy2d: FieldElement51([82037622045021, 1646398333621944, 613095452763466, 1312329542583705, 81014679202721])
},
	AffineNielsPoint{
	y_plus_x: FieldElement51([2389287991277873, 403851022333257, 1597473361477193, 2953351602509212, 2135174663049062]),
	y_minus_x: FieldElement51([1826548187201150, 302299893734126, 1475477168615781, 842617616347376, 1438600873676130]),
	xy2d: FieldElement51([663049852468609, 1649295727846569, 1048009692742781, 628866177992421, 1914360327429204])
},
	AffineNielsPoint{
	y_plus_x: FieldElement51([1795645928096646, 306878154408959, 2924901319092394, 2801261341654799, 1653782432983523]),
	y_minus_x: FieldElement51([2077597317438627, 212642017882064, 674844477518888, 875487498687554, 2060550250171182]),
	xy2d: FieldElement51([1420448018683809, 1032663994771382, 1341927003385267, 1340360916546159, 1988547473895228])
},
	AffineNielsPoint{
	y_plus_x: FieldElement51([1082660122598844, 2545055705583789, 3888919679589007, 1670283344995811, 3403239134794618]),
	y_minus_x: FieldElement51([90430593339788, 1838338032241275, 571293238480915, 1639938867416883, 257378872001111]),
	xy2d: FieldElement51([1528535658865034, 1516636853043960, 787000569996728, 1464531394704506, 1684822625133795])
},
	AffineNielsPoint{
	y_plus_x: FieldElement51([811329918113934, 2783463529007378, 1769095754634835, 2970819621866866, 881037178164325]),
	y_minus_x: FieldElement51([1784566501964517, 433890943689325, 1186055625589419, 1496077405487512, 1731807117886548]),
	xy2d: FieldElement51([424909811816304, 1355993963741797, 409606483251841, 455665350637068, 1617009023642808])
},
	AffineNielsPoint{
	y_plus_x: FieldElement51([2478728492077816, 2780289048655501, 2328687177473769, 4107341333582032, 1316147724308250]),
	y_minus_x: FieldElement51([1617420574301156, 1741273341070467, 667135503486508, 2100436564640123, 1032223920000865]),
	xy2d: FieldElement51([1753947659404033, 247279202390193, 1819288880178945, 737334285670249, 1037873664856104])
},
	AffineNielsPoint{
	y_plus_x: FieldElement51([1762568490530034, 673742465299012, 2054571050635888, 2040165159255111, 3040123733327257]),
	y_minus_x: FieldElement51([1627187989987422, 1686331580821752, 1309895873498183, 719718719104086, 300063199808722]),
	xy2d: FieldElement51([238176707016164, 1440454788877048, 203336037573144, 1437789888677072, 101522256664211])
},
	AffineNielsPoint{
	y_plus_x: FieldElement51([1895216760098480, 1934324337975022, 3677350688973167, 2536415965456176, 714678003308640]),
	y_minus_x: FieldElement51([508185358728815, 1691320535341855, 2168887448239256, 1035124393070661, 1936603999698584]),
	xy2d: FieldElement51([390562831571647, 1390223890708972, 1383183990676371, 435998174196410, 1882086414390730])
},
	AffineNielsPoint{
	y_plus_x: FieldElement51([3747620842612921, 2081794785291195, 3284594056262745, 2090090346797895, 2581692978935809]),
	y_minus_x: FieldElement51([244144781251265, 1290834426417077, 1888701171101942, 1233922456644870, 241117402207491]),
	xy2d: FieldElement51([1266169390045455, 1148042013187970, 878921907853942, 1815738019658093, 908920199341621])
},
	AffineNielsPoint{
	y_plus_x: FieldElement51([2521768507305118, 953557056811112, 2015863732865770, 1358382511861315, 2835421647899992]),
	y_minus_x: FieldElement51([2239837206240498, 330928973149665, 422268062913642, 1481280019493032, 619879520439841]),
	xy2d: FieldElement51([1360166735366017, 1770556573948510, 1395061284191031, 1814003148068126, 522781147076884])
},
	AffineNielsPoint{
	y_plus_x: FieldElement51([2611794802645686, 707234844948070, 1314059396506491, 2919250341703934, 2161831667832785]),
	y_minus_x: FieldElement51([934831784182383, 433734253968318, 1660867106725771, 1968393082772831, 873946300968490]),
	xy2d: FieldElement51([26306827827554, 430884999378685, 1504310424376419, 1761358720837522, 542195685418530])
},
	AffineNielsPoint{
	y_plus_x: FieldElement51([1762131062631725, 3123952634417535, 3619918390837537, 2909990877347294, 1411594230004385]),
	y_minus_x: FieldElement51([538272372224622, 1425714779586199, 588313661410172, 1497062084392578, 1602174047128512]),
	xy2d: FieldElement51([907490361939255, 1963620338391363, 626927432296975, 1250748516081414, 959901171882527])
},
	AffineNielsPoint{
	y_plus_x: FieldElement51([1335066153744413, 2887804660779657, 2653073855954038, 2765226981667422, 938831784476763]),
	y_minus_x: FieldElement51([296699434737224, 2047543711075683, 2076451038937139, 227783599906901, 1602062110967627]),
	xy2d: FieldElement51([1574834773194203, 1384279952062839, 393652417255803, 2166968242848859, 1552890441390820])
},
	AffineNielsPoint{
	y_plus_x: FieldElement51([1619646774410947, 1576090644023562, 3035228391320965, 1735328519940543, 2355324535937066]),
	y_minus_x: FieldElement51([1024074573633446, 957088456885874, 1690425531356997, 2102187380180052, 1082544623222033]),
	xy2d: FieldElement51([1871906170635853, 1719383891167200, 1584032250247862, 823764804192117, 2244048510084261])
},
	AffineNielsPoint{
	y_plus_x: FieldElement51([642147846489775, 3334304977145699, 305205716788147, 2589176626729533, 2224680511484174]),
	y_minus_x: FieldElement51([1734162377166545, 260713621840346, 157174591942595, 952544272517991, 222818702471733]),
	xy2d: FieldElement51([1213115494182947, 286778704335711, 2130189536016490, 308349182281342, 1217623948685491])
},
	AffineNielsPoint{
	y_plus_x: FieldElement51([3360052266973635, 1843486583624091, 1561693837124349, 1084041964025479, 1866270922024009]),
	y_minus_x: FieldElement51([460705465481210, 1968151453817859, 497005926994844, 625618055866751, 2176893440866887]),
	xy2d: FieldElement51([1655800250476757, 2036588542300609, 666447448675243, 1615721995750683, 1508669225186765])
},
	AffineNielsPoint{
	y_plus_x: FieldElement51([2245948203759141, 1058306669699396, 1452898014240582, 3961024141962768, 1633235287338608]),
	y_minus_x: FieldElement51([986647273684279, 1507266907811370, 1260572633649005, 2071672342077446, 695976026010857]),
	xy2d: FieldElement51([1312356620823495, 1635278548098567, 901946076841033, 585120475533168, 1240667113237384])
},
	AffineNielsPoint{
	y_plus_x: FieldElement51([2313723935779695, 1506054666773895, 996040223525031, 636592914999692, 1497801917020297]),
	y_minus_x: FieldElement51([292042016419794, 1158932298133044, 2062611870323738, 1946058478962569, 1749165808126286]),
	xy2d: FieldElement51([654683942212830, 1526897351349087, 2006818439922838, 2194919327350361, 1451960776874416])
},
	AffineNielsPoint{
	y_plus_x: FieldElement51([3015041017808905, 2951823141773809, 2584865668253675, 2508192032998563, 2582137700042019]),
	y_minus_x: FieldElement51([1628123495344283, 2072923641214546, 1647225812023982, 855655925244679, 1758126430071140]),
	xy2d: FieldElement51([1615895096489599, 275295258643784, 937665541219916, 1313496726746346, 1186468946422626])
},
	AffineNielsPoint{
	y_plus_x: FieldElement51([1603070202850694, 2072127623773242, 1692648737212158, 2493373404187852, 1248948672117105]),
	y_minus_x: FieldElement51([11167836031898, 596565174397990, 2196351068723859, 314744641791907, 1102014997250781]),
	xy2d: FieldElement51([1409047922401191, 69960384467966, 688103515547600, 1309746102488044, 150292892873778])
},
	AffineNielsPoint{
	y_plus_x: FieldElement51([1986083055103168, 691715819340300, 1361811659746933, 3459052030333434, 1063594696046061]),
	y_minus_x: FieldElement51([1201987338414749, 2198784582460616, 1203335513981498, 489243077045066, 2205278143582433]),
	xy2d: FieldElement51([2034744376624534, 2077387101466387, 148448542974969, 1502697574577258, 473186584705655])
},
	AffineNielsPoint{
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