# Stored data for newform 531.8.a.c, downloaded from the LMFDB on 25 April 2024.
{"label": "531.8.a.c", "space_label": "531.8.a", "level": 531, "weight": 8, "hecke_orbit": 3, "hecke_orbit_code": 9007199388959251, "dim": 17, "is_polredabs": false, "trace_hash": 1516186130237838173, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-248723246810300416, 79787300207378432, 29180140031461376, -10454479722123264, -886760582981376, 413177144536320, 10751966150272, -7480805165760, -50741131904, 71331230512, -12724944, -377920980, 848131, 1108684, -2385, -1669, 2, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+(68+\\beta _{1}+\\beta _{2})q^{4}+(19-2\\beta _{1}+\\cdots)q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 33984, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 165.87644853206865, "hecke_ring_index": 248832, "level_radical": 177, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": false, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": 0, "analytic_rank_proved": true, "char_values": [531, 1, [119, 415], [1, 1]], "hecke_ring_generator_nbound": 31, "inner_twist_count": 1, "level_primes": [3, 59], "conrey_indexes": [1], "field_poly": [248723246810300416, 79787300207378432, -29180140031461376, -10454479722123264, 886760582981376, 413177144536320, -10751966150272, -7480805165760, 50741131904, 71331230512, 12724944, -377920980, -848131, 1108684, 2385, -1669, -2, 1], "hecke_ring_index_factorization": [[2, 10], [3, 5]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.228", "prec": 17}, {"__RealLiteral__": 0, "data": "13.629", "prec": 20}, {"__RealLiteral__": 0, "data": "6.063", "prec": 17}, {"__RealLiteral__": 0, "data": "590.316", "prec": 24}, {"__RealLiteral__": 0, "data": "188.422", "prec": 24}, {"__RealLiteral__": 0, "data": "42160.099", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 17, "sato_tate_group": "7.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [59, -1]], "trace_display": [-2, 0, 318, 3145], "traces": [0, 17, -2, 0, 1166, 318, 0, 3145, -2355, 0, 6521, 1764, 0, 18192, 7827, 0, 139226, 15507, 0, 52083, -721, 0, -234434, -63823, 0, 202153, 367956, 0, 182306, 502955, 0, 347531, 243908, 0, -330872, -92641, 0, 447615, -775669, 0, 2203270, -940335, 0, 478562, 596924, 0, -3078663, -703121, 0, 1895082, 876967, 0, 6278296, 1005974, 0, 5212846, -3425294, 0, 6710166, 3491443, 0, 11510749, -5996234, 0, 29496941, -11094180, 0, 14007144, -19688159, 0, 30909708, -5229074, 0, 5452211, -12819662, 0, 41929340, -9930777, 0, 15275654, -36576105, 0, 32025935, -7826609, 0, 11836945, -51649136, 0, 30223741, 6436185, 0, 11633535, -43357972, 0, -4494252, -23741055, 0, 26377540, -26517816, 0, 79477021, 23105848, 0, -28257460, 8261657, 0, 74668067, -3413985, 0, -13442049, 2015433, 0, 121877895, -31828206, 0, 17804919, 55824291, 0, -410758, 43720228, 0, -3961023, -116661772, 0, -4952195, 77613258, 0, 114426406, 1090934, 0, -44574191, -39564266, 0, -20913290, -128769321, 0, -31840894, 57084910, 0, 37879916, -189714887, 0, 36248444, -71676092, 0, 87769457, -112273800, 0, 177072931, 62037057, 0, 54009293, 55633637, 0, 56013497, -17748429, 0, 103341286, -173755786, 0, 226222587, 263352980, 0, -56305313, 226680630, 0, 107771429, -298014873, 0, 153374963, 701021347, 0, -59990048, -85893709, 0, 284676136, 409408404, 0, -342287582, 138427318, 0, 56134477, 523041979, 0, -632703255, 397477565, 0, -5247897, 768691229, 0, -446909363, 431690928, 0, 257441264, 1067974161, 0, -583156263, 479018062, 0, 163195179, 509768003, 0, -21188721, 716704371, 0, -135762797, 837859678, 0, 510193146, 378369709, 0, 12788389, 1127192521, 0, -373865897, 214432292, 0, 260140811, 568628001, 0, 29354883, 424340605, 0, 1106351512, 534933602, 0, -190767267, -567585817, 0, 565423305, 1855515349, 0, 582603347, 310229052, 0, 594031313, 239471914, 0, -114021042, -62977794, 0, 576530188, 936139540, 0, 1837859379, -657486073, 0, 1439350773, 1607094503, 0, 1714646441, 303316746, 0, 1881583275, 1842878515, 0, 2550646418, -1878820708, 0, 2181520198, -704822583, 0, 802800534, -418032813, 0, 3423282102, 924432569, 0, 1672047323, -1460868546, 0, 2970467928, -1531033190, 0, 1574660628, -561292926, 0, -47071112, -1883383045, 0, 2588674703, 388030722, 0, 2782990255, 858492092, 0, 36098898, -1505786251, 0, 3456213192, 3972460398, 0, 807557347, -1161865081, 0, 65310522, 2661342156, 0, 653303302, -2793874521, 0, 3276797157, 1316671460, 0, 6618207829, -1461579745, 0, 1143235884, 1988900638, 0, -1567476012, -801117149, 0, 2935363051, 710228279, 0, 591404432, -963791198, 0, 3369056941, -2889717572, 0, -2020525951, -1417906011, 0, 2750306972, 2345474178, 0, 578011168, 582361065, 0, 2426023162, 2176250340, 0, 1216161314, -3032276936, 0, 3593598371, 3541677332, 0, 750235626, -1466092389, 0, 2013276470, -4887967855, 0, -4814702785, -1531001209, 0, 1206526766, 122637241, 0, -73384362, -2549318381, 0, 1437434124, 7120582331, 0, 416728206, -545161182, 0, -734465604, -2544696600, 0, 879518458, -439032301, 0, 4848424564, 1257237867, 0, -1008673909, -1211343839, 0, -1232381345, -1493214872, 0, 2040824335, 176794535, 0, 8395286250, -3404078780, 0, 1529417961, -2863230084, 0, -4351746615, 6791362417, 0, 3632469955, 1648051828, 0, 8079793933, -7982647111, 0, 3016472584, -6568310602, 0, -987122902, -4580299494, 0, 1765135669, -430361181, 0, 6449586329, 1251891345, 0, -3552829247, 728694237, 0, 3362844238, 12822924862, 0, -10670821444, 645916955, 0, 450203791, 9694817546, 0, 280323261, 3312801874, 0, -1802702562, 1361184934, 0, -226159834, 10809752488, 0, 2486068131, 2430193296, 0, -3962920355, -1286042523, 0, -4509733189, 10328098721, 0, -17290666358, 3907115239, 0, 2233373589, 19647191704, 0, -15531888462, -5584747733, 0, -8073870343, 6862943887, 0, 4809087228, -588645384, 0, 2949597321, 5251722289, 0, -11464057182, -3565045669, 0, -6127656417, -2386995131, 0, -11877369350, 4414151195, 0, 1022485711, 11431118270, 0, -9838395542, -873418990, 0, -7507750839, 8798935476, 0, -483667545, 5697778582, 0, -1242906408, 8150287118, 0, -6358673047, -3966744085, 0, -1259884217, 8545410831, 0, -28505526922, 41708302, 0, 811087087, -23725918351, 0, 2897373144, 7889481943, 0, 1013896490, 6226231475, 0, -14972233638, 10003557503, 0, -7618663710, 12839452051, 0, -9598504819, -5978281215, 0, -9038632534, 2551099735, 0, 3777688933, 8415957457, 0, -4412733833, 5761847021, 0, 199495045, -7096058298, 0, -1147476179, 239466538, 0, -41203623598, 5602393379, 0, 19618094734, -29540626048, 0, -21520933559, -7169132656, 0, 63127532, -4051440993, 0, -8652574593, -9165608475, 0, 12189185289, -461471718, 0, -11907611670, -9534368021, 0, -18625302024, -13679668298, 0, -23604263631, 8114258025, 0, 12489912153, 3878956982, 0, -19839715939, -22153705892, 0, -2845414297, -21926324853, 0, -30606144057, 4847445868, 0, 4285712338, -51816918920, 0, -18629427905, -22269949098, 0, -5383904240, -17852464148, 0, 2585529845, 3617756363, 0, -417126226, -12207146626, 0, -16485008972, -22416390776, 0, -12274807810, -26830525855, 0, -21814367307, -1883806003, 0, 13603897502, -38122909411, 0, -41856172825, -18123077670, 0, -7253999642, 1339276459, 0, 15372022276, 1609351791, 0, 21449915388, -12332297513, 0, -24124632883, -9300233640, 0, 2720325037, -14481467571, 0, -36764792023, -6246504780, 0, 23336001560, -21384429326, 0, 12010829960, -16132899033, 0, 1703294450, -32412461322, 0, -17438750178, -8077764215, 0, 2783924580, -45474682147, 0, -1392004290, -35817086501, 0, -9387016207, -9274519263, 0, 16304569909, 14335938699, 0, 13435106926, -68758991389, 0, 29697656147, 12019177482, 0, -958727631, -25385071740, 0, -1009605339, -2795533314, 0, 10062363239, 31663181757, 0, -51822216180, -3728686042, 0, 362288556, -9581501593, 0, -377887309, 19788497325, 0, 42933634654, 19270882739, 0, -6121684921, 9053699885, 0, -21180864223, -35899196472, 0, 30482174530, -51233272910, 0, 17142118270, -75055431811, 0, -15163513251, -5858753969, 0, -28892532342, -15422991771, 0, -35080218250, 37537975498, 0, 7130921545, 27494377139, 0, -20844657088, -38183472070, 0, -8687897286, -29213081402, 0, 3694461422, 46665222024, 0, -5470272264, -96185222682, 0, 11103168300, -5120884848, 0, -2120576512, 11180873768, 0, 53033260861, 29906403345, 0, 16589076437, 33195924065, 0, -26337166165, -9696361510, 0, -49906461184, -51337279555, 0, -49478351993, -15520941464, 0, -50576990944, 36653402098, 0, -70793444005, 30321349395, 0, -38863803710, 12081124524, 0, -3361088215, 92981955992, 0, 6914205152, -40874432784, 0, 10358532224, 61313227199, 0, -1693513776, -66762616093, 0, -109651493614, 20313363420, 0, -27787011123, -53097196462, 0, 32994214084, 37629364121, 0, -16408297855, 29241432471, 0, 28007998695, 81259118052, 0, 2826309996, 87354223104, 0, 38386346714, 59831627537, 0, -52265971611, -54541522651, 0, 24673636915, 10324493560, 0, 3809999492, -24637513427, 0, 4807569894, 3736254768, 0, 2674026447, -33990863640, 0, 111320946813, 24687870804, 0, -24392820954, 87087363020, 0, 15430299826, 73552154896, 0, -55874191556, -48610592888, 0, -48558802018, 58555096050, 0, -5010168446, 59175570294, 0, 18629707155, 75060397873, 0, 69124120721, -43709210155, 0, -34349038281, -11201860552, 0, 6989941744, -23318567937, 0, -2410196835, 36397163663, 0, -81914891844, 113936390758, 0, 62358128101, -20378144807, 0, -25914053108, 155506336514, 0, 22815326360, 85050686769, 0, 27729712713, -206454279296, 0, 21175097355, 103963230371, 0, 29092238534, 119296525236, 0, 1607501433, 112172344294, 0, 5075982035, -77302140310, 0, 111961039241, 75879977132, 0, -21648773309, 45175369928, 0, 63878365391, 17992279858, 0, 22984130386, -48237124528, 0, 4890282487, 100828985436, 0, 65257805198, -16024105467, 0, -41510347535, 65320035285, 0, 8116513201, -24361400153, 0, -30736042417, 92185890182, 0, -34658557908, -140020836947, 0, 63666833166, 9423621099, 0, -10810715905, -8530068656, 0, 43162973406, 122228491858, 0, 37960759774, 32887443853, 0, -107144566028, 87538782541, 0, -48076609398, -32969008404, 0, -18656094549, 30484954008, 0, 116947688016, -37398462267, 0, -55221086088, -5318780172, 0, -34421907801, 38253488034, 0, 87424916907, 96902919798, 0, 128356996248, 18305763927, 0, -82891922142, 32888550939, 0, 41783469859, 27175674889, 0, -24374569148, 159746553361, 0, 60260927746, -209469062103, 0, 139592950778, 33377946947, 0, 38173151901, -13515138390, 0, -1914396952, -30118812420, 0, 100722944012, 326491798529, 0, 12617364831, 6842657232, 0, 21474001552, -94505070459, 0, 63180160557, 85010473116, 0, 68389131580, 31752396036, 0, -105639319511, -130003310353, 0, 88540624276, -65892430262, 0, -57237943081, 21475967234, 0, 159679303446, 28594096654, 0, -82317955536, 35362874161, 0, 56995351085, -45498173676, 0, -209155662251, 73364691280, 0, 175420856096, 1122056549, 0, 58679779043, 41132274159, 0, 131721996688, 12419954954, 0, -89908867405, 22496715552, 0, 150613744973, -132264222888, 0, 159677487583, 790070803, 0, 86364841637, -77514489078, 0, 244774942388, 84894016466, 0, 123978784185, -205936145159, 0, 101931648, -138319406106, 0, 159141458882, -186411902749, 0, 218223481746, 86891752299, 0, 81999880705, 154678402119, 0, 196820191387, -16993327335, 0, 189365181977, 12914902201, 0, 264731665776, -54517667751, 0, 3184812153, 209640008299, 0, 193462960058, -70287673581, 0, -24922044654, -74093271682, 0, 89986295952, -42831474954, 0, 74927879785, 150365312020, 0, 110124667860, -112391564932, 0, 59204335848, -180283190147, 0, 111646484134, -39818256084, 0, 55982263410, -418197436891, 0, -459782588764, -49872907913, 0, 207157253414, -33852093244, 0, 97750503174, 47587161980, 0, 251505105632, -465690456825, 0, 8303899568, -137057556370, 0, 116308332699, -21365839329, 0, 165596156978, 24896323654, 0, 243775133028, 132622534536, 0, -82365164087, -14273508183, 0, 229963899989, -29464419408, 0, 286373194589, 96633410068, 0, 278129769169, -2348916536, 0, -136869064289, -171087480510, 0, 112150196418, 185666826379, 0, 124605168749, 58528085886, 0, 174900001538, -427445998426, 0, -213902571152, 91742737213, 0, 201954283768, 328680110102, 0, 199708251126, 159227737689, 0, 216561181656, -387272380566, 0, 35545486391, -160965646940, 0, 251949946294, -343638102903, 0, 335544816583, -26931624976, 0, 389690800551, 402602224201, 0, 16870664441, -155829654830, 0, 378783502031, -318879303453, 0, -384626765499, 233778944745, 0, 89638248642, -292384263318, 0, -402903463312, -236237886512, 0, -155689590122, 82702610308, 0, -73976079853, 10696754457, 0, 32502298420, 355676272413, 0, -57479505629, 250314356410, 0, -111288003652, 7535454901, 0, -208045304989, -62946430042, 0, 105253629939, 337852920726, 0, -315858631692, -1440532995, 0, -102635413435, 380920211935, 0, -355080827871, 136257986287, 0, 376967282468, 203162928363, 0, -376046589246, -218612215333, 0, 28413325344, 426071803820, 0, -214086619946, -12765535685, 0, -3431586026, 742515327257, 0, -402230843546, 116184300328, 0, 102530095266, 55507880303, 0, -270684874108, 323100903107, 0, 424918831966, 246445329172, 0, -381516821902, 144208614068, 0, 17083004393, 84309539161, 0, -148078259, 402037603677, 0, 241284346096, 578156441263, 0, -175462740688, -179152331876, 0, -35612503823, 456146596971, 0, -530428333416, 51549031231, 0, 11314005156, -220509906074, 0, -524495893937, -20657553219, 0, 262621481511, 47503639151, 0, -71489148700, 144194047188, 0, -241159469407, 104944686563, 0, -22637980960, -349530561815, 0, -26584942223, -37445977066, 0, 636969875055, -193116212357, 0, -397196431851, -467027653483, 0, -305512555018, -382160245533, 0, -25805798317, 221077230229, 0, -659150885690, 182180718384, 0, 165923100550, 330767238177, 0, -590060266800, 6502907519, 0, -187253688083, -117432087485, 0, -1392863046757, -41429109112, 0, -4273663928, 16833102281, 0, -108217166869, 170520718467, 0, -227924369313, 101798014384, 0, -304452917000, 173541442307, 0, 196020389726, -181271450084, 0, -429399863189, -188444231994, 0, -16242089020, 512395107320, 0, 23433227256, -410986644183, 0, 188775591927, -185182821675, 0, -677875434691, -336611489819, 0, 100503082625, 218220577644, 0, 362364088099, 253830817719, 0, 59792277874, -441521095549, 0, -251707772723, -261050117979, 0, -227928688676, -549820672087, 0, -952257971756, 251701382613, 0, 226747786948, -395184909765, 0, -865885150598, -303919896992, 0, 169653701221, -48147820486, 0, -217960839841, 68204186404, 0, -78506743193, 442325227757, 0, -561432964556, -259407443056, 0, -577985935964, 179883063294, 0, -459736021814, -4162626576, 0, -121017079493, 584903329494, 0, -815624878569, -223388993112, 0, 7772309735, -235464199990, 0, 114881277174, 601269668096, 0, 128196344746, -374123439563, 0, 160886221671, -368337098220, 0, -38406317679, -756389257129, 0, -445197396905, 73308782207, 0, 91448554698, -1169356663227, 0, -476234324562, -422035612669, 0, -458282547988, -138990275148, 0, 217061720460, 269417780533, 0, 345884543964, 1076817377454, 0, -166473295338, -135322653516, 0, -13107903917, -137558172096, 0, -325421574943, 261600327843, 0, 184162127001, -659950631167, 0, -390171885244, -232892705381, 0, -219017428260, 220737198989, 0, -448802433416, 457686882322, 0, -334228620270, -910358904278, 0, 62371967751, 89834096984, 0, -24082659718, -604229669607, 0, -717663535346, -89854731238, 0, 289497364182, 288611935837, 0, -877888901631, -863752336155, 0, 534505445923, -484622735918, 0, -292438605186, -14871480346, 0, 411823100540, -769495811349, 0, -201346926325, -351018664976, 0, -968224782422, 164243002640, 0, -777208291572, -51083388178, 0, 314676254884, -263301683354, 0, -248414294751, 236496615903, 0, -289843681839, -864430019952, 0, -417534204051, -288439360343, 0, 414085576519, 1441199139054, 0, -22101129929, -112776252164, 0, -173260692455, -303105912473, 0, 113785362869, 355632916247, 0, 174087191987, -225553795041, 0, 390632466383, 100386543934, 0, 376334402362, 82927179890, 0, 7404584801, 660966556699, 0, 181772216594, -1261977884903, 0, -630613193072, -144395343999, 0, -43201751617, 556100477397, 0, 190450290303, -300923827543, 0, 142820968926, 466648130789, 0, -41669297532, 149328762226, 0, -405535211579, -1159876780267, 0, 326296823401, 929263565742, 0, -192817956417, -461669284441, 0, -868871515195, 41517980987, 0, 204048001874, -246642498706, 0, -234504295161, 143006378878, 0, 95363764064, -172520584761, 0, 608990920055, -181068846518, 0, -398717502178, -304549470613, 0, -1133463342746, -175776455799, 0, 277460116881, -464484742666, 0, 40913312531, -633548423734, 0, 321451502071, -211001403866, 0, 189666004119, -255501032489, 0, 1066337243500, -113218985897, 0, 86085798092, -1417767125961, 0, -320820302134, 1146066209233, 0, 995800810447, -525935986666, 0, 329627819915, -826528310129, 0, -661640219411, 634700225366, 0, 789825068128, 148351791591, 0, 721875609606, 71965877140, 0, 608832403586, -34884358124, 0, 75570435324, -763219274020, 0, 563101662951, -549263432259, 0, -959392831073, 35164368359, 0, 428506153714, 339165812591, 0, -315054210088, -1010707393112, 0, -757036157224, -22157584810, 0, 847457430651, -341720904005, 0, 656029741215, -963181274698, 0, -20184402233, -642037253665, 0, 757647353874, -662884511202, 0, 1683110703143, 530716272695, 0, 577993842340, -1218923128253, 0, 1711677187901, -1251608444844, 0, -63510226480, 134406978076, 0, 1203009914756, -199648572704, 0, 362763054345, -829117311763, 0, 19200333320, 2052511292, 0, 174126706058, 262122246672, 0, 70849779547, 473256858220, 0, 891390343549, -685749626629, 0, 307212913923, -743276338101, 0, -387602326477, -1237572836505, 0, 859835073833, 484345141891, 0, 388559426767, 960886554212, 0, 674224296676, -90530386613, 0, 228325402612, -20124583763, 0, 1528064435261, 1450956532744, 0, 572686684895, -308729536181, 0, 367303140237, -420336086066, 0, -789030351534, 757381416209, 0, -1723455820493, 1185918295884, 0, 946818262454, 189616471347, 0, -102902088328, 246183081656, 0, -699998694713, -279381865769, 0, 1069543461092, -191403024574, 0, -602469769867, 2436232868371, 0, -379464592529, -936675387891, 0, -1586294958169, 205085344237, 0, -985785833638, 1228607536051, 0, 1126133333180, 37441823974, 0, -13635965063, -1373564098310, 0, 1185912528565, -368689391854, 0, -2839660164949, 802119771569, 0, -18726791490, 1716337328234, 0, -102513483215, 483922794268, 0, -1970639767916, 103364970424, 0, -637711094097, -108684502595, 0, -33504632516, 1887212467503, 0, 1503999941345, 649973409780, 0, -353727739920, -1686257746501, 0, -1037200283326, 1615783331135, 0, -107066496512, -1809610258806, 0, -1841054874010, 670543139052, 0, -769115492044, 379561054890, 0, 1402768354117, 543863740518, 0, 150423986594, 1877284969829, 0, 50904182400, -285538489314, 0, -1745256337887, 185468524219, 0, 646357774876, 1773735785359, 0, 103296394945, 1831501458537, 0, -134021858931, 632361304502, 0, -1291234602054, -1042036863706, 0, 345094369022, 1090683991020, 0, -233573700606, -742047462839, 0, 188828236951, -263969890370, 0, -935142237060, 655103412740, 0, 545444524965, 637045044940, 0, 568926371045, -451693938107, 0, -275507863630, 1664296832380, 0, -754446936056, 1235971528965, 0, -2325981388649, 711980578078, 0, 844443093463, -995423270555, 0, 773551455280, -54939119628, 0, -573860070313, -602193872570, 0, -23497742153, 1745865559921, 0, -658444153094, 2036434433691, 0, 536260509000, -1772540567313, 0, -1911136259257, 1858820406572, 0, -996389465538, 1448664625535, 0, 275899336772, -2339692120081, 0, -635691294599, 229929081830, 0, 492231419408, 2764408753220, 0, -1201330372751, 581070993956, 0, -238203081041, 2757470952217, 0, 179849302555, -778593056021, 0, -606873299748, -412832688389, 0, 1142307497534, 2127032843345, 0, -148439763400, -1098768259738, 0, 1585475636231, -161293132164, 0, 166128316948, 1154574395433, 0, 955467662330, 902195403767, 0, 213706844178, 331443101291, 0, 386299911978, 748691893436, 0, 7897641946, 639986708801, 0, 1840446916140, 235914256965, 0, -1765621751197, -380485252597, 0, 2710059936949, -528252130990, 0, -515258458882, -856529700145, 0, 1158352930985, 71375569249, 0, 939858428848, -1733792254226, 0, 1395714775078, -178071752590, 0, -958452713237, 1636980699866, 0, -1561307256057, 1439683656351, 0, -389483883057, 329323492064, 0, 3393294933194, -788605276662, 0, -949478473863, -1283698368721, 0, 577764616012, 12603837735, 0, 2134086990459, 3181889331935, 0, 1043711591873, 385467071568, 0, 430204819328, -1427473827417, 0, 268995563894, -55706522693, 0, 330832116120, -66756352563, 0, -517572354691, -96299879473, 0, 273805652458, 326834082591, 0, 4019295944629, 2941964621891, 0, -58288446114, 2192715139729, 0, 1871960756065, -134417103905, 0, -1749391254503, -2258312889917, 0, 50093581132, 557107668634, 0, 1251035467791, 126714834608, 0, 1158466209530, -184253269806, 0, -94106320159, -3047633154018, 0, 141550049320, 1275466301464, 0, -161715115665, 1234298784888, 0, 1255210859227, -1075864169698, 0, -240113873410, 1263089791891, 0, 272568540236, -315934889261, 0, -94949918366, -3154235621474, 0, 1372709807591, 640995038118, 0, 142609797909, 2640362298175, 0, 3122908756889, -457569672616, 0, 721827907171, 699933217965, 0, 4106534742660, -431850742850, 0, -1735498033360, -1265167569085, 0, -2507226114734, 1734647642275, 0, -862686504527, 253278659013, 0, 802797110483, -278725139917, 0, -867127292088, 352009569482, 0, 443082781707, -113103458620, 0, 481558745257, -3876119184583, 0, 182628549573, 20724139347, 0, -281577671416, -418950495966, 0, 1488949502509, 289673348151, 0, 330817573447, 1348427433705, 0, 319340344457, -1191879298942, 0, 117858712238, 189281964954, 0, 3854696376149, 161183333668, 0, -255736706764, 1379762662507, 0, 668316877937, -185391919881, 0, 746933133164, -752510672983, 0, 2228627184627, 234500554098, 0, -1027298596976, -771682456298, 0, 3370729818174, -1310210352895, 0, 1482747572535, 717686785664, 0, 955072582275, -1912737184240, 0, -539489849482, 357314309291, 0, -610986527911, 157109089858, 0, -127190767913, -67954160488, 0, 3315343787308, 1164566672785, 0, 444898420712, -268679842279, 0, -1082010769389, 350976402823, 0, -68682848188, 210490611128, 0, -322824715952, 1140282202147, 0, 1290963929030, -2391725373725, 0, 3054586406609, 692552301988, 0, -67435948343, 2658191981681, 0, 3004176308365, -1271600014571, 0, -660657896657, 2910267677545, 0, 1458609982245, -336769128071, 0, -29957339640, -3653911247179, 0, -775028226642, 1777078220040, 0, 407376101074, -828131623624, 0, 2392543522063, -554183274492, 0, -80072006750, 1926956043906, 0, 4800806286167, -580147134640, 0, -1777673958137, -1113563668630, 0, 1559621078226, -1577455220522, 0, -19026515939, 1526523297321, 0, 4179668516775, 1627253079265, 0, -2937110416079, 457420185949, 0, -387289620353, 346310645738, 0, -291525435299, -2270749252343, 0, -2154121310363, 164606487640, 0, -1004718222987, 823312499975, 0, 2356810953280, -2864928140429, 0, 688488735168, 3312352342651, 0, 1048277168369, -796682278742, 0, -758810651768, -5169216333582, 0, 4954568429038, 1923071792909, 0, 453663419284, -1451635276171, 0, -2245880859126, 414062060738, 0, 305810759257, -1810051516331, 0, 773079136625, 406413045024, 0, -963767598032, 131915031573, 0, 2317672877617, -257541163561, 0, -2015176025469, 1037031041456, 0, 2075472255375, -1696313613910, 0, -748513213341, 938289305797, 0, 4859709789091, 883862553102, 0, -602034382100, -1729931779482, 0, 178620669035, 239065799565, 0, 965494554732, -771740742196, 0, 3302910451458, -2212356130063, 0, -1049882439072, 1744206217263, 0, 978123552947, -960392308335, 0, -376821278372, -5214217875045, 0, -1754650955229, -753721406106, 0, -1164449193293, -744928168655, 0, 3234554478425, -1680525612319, 0, 969422585730, -15604950343, 0, -797009169686, -2333440124563, 0, 539676400082, -5104900729983, 0, -635247505429, 230354431049, 0, -539448304307, -1005752738650, 0, -600616576304, -980740208498, 0, -1606382642474, 2999546295534, 0, -1267493163018, 91930721085, 0, 1208068818729, -4116350129384, 0, 3352734317836, 3037117467873, 0, -1882532155312, 5390026161230, 0, -3414619645048, 1896740696699, 0, -1391216714460, -1257706530742, 0, 1699935313563, -1314197109059, 0, -1459587921198, 1731565382277, 0, -735744233554, -1146913644956, 0, 454843466112, 1953377008875, 0, 87513867426, -2648165388425, 0, -961136481365, -2960610296562, 0, -3314158151631, -908083640199, 0, -1001710527343, 385752927029, 0, -4070556599179, -197687920082, 0, -165926604006, -678713671196, 0, 2483195587904, -1539337984795, 0, 4662010580621, 7938446879946, 0, 1286481466354, -255804116984, 0, -4326964247750, -2955058537785, 0, -159306123551, 1307803936680, 0, 934431616580, 129058434309, 0, -5069228692713, -4498977702473, 0, -1740074612071, -507564403811, 0, -4841207333043, -461644254547, 0, -55120804112, 544309000887, 0, -4709191834559, 940511440595, 0, -1509143741293, 2135155170914, 0, 1754933488936, -887551436175, 0, -2265415348515, -995346584975, 0, -438504813954, -6704067947962, 0, -593224387114, 1732532118447, 0, -1678184247043, 515499711952, 0, 1210405565639, 2853612946837, 0, -108173073559, -1895932169089, 0, -2361750524164, 1170386409596, 0, -1885158673826, 1859001365783, 0, 244867950348, 3016989493445, 0, -2213851248924, 712143165378, 0, -3384890682454, 5368980454974, 0, -2955622402729, -4792115940437, 0, -465518359479, 940080430487, 0, -2198180941598, 89303578316, 0, -523484948742, -293909412419, 0, -2027078466796, 2724601001799, 0, -1201362016208, -3578117641031, 0, -7933552652430, -3316898248777, 0, -395863922034, 6732925713833, 0, 2313370248818, -4267072794626, 0, -2064993540505, 1620092228586, 0, -2299159761207, 175107026956, 0, -3313648956200, -1936577290991, 0, 283408625513, 916684290640, 0, -968315266310, 4852238198691, 0, -11739832759857, -6675667129353, 0, -1347995504920, -7836046276938, 0, -5931588951576, -1941362240692, 0, -966061226485, 3161940771041, 0, 47622101979, -417979761662, 0, -2898365916492, 452505389330, 0, -81969345900, -1611868407979, 0, -711683259452, 4058059734412, 0, 1043279721704, -310621339128, 0, -4433544955937, 6638891925119, 0, -5153807335526, -1295421624773, 0, 695608108925, -53197275283, 0, -3758343732209, -1192707948147, 0, -1898391374853, 95782923912, 0, 3202904356559, -1478467570827, 0, 1275941992719, 3289611309761, 0, -6753094719433, -4573573001350, 0, -3562833373661, 620476057209, 0, -1546000748639, 160646612824, 0, -1937276842783, -487746773355, 0, -4189328123888, 975604665779, 0, 58254954197, -2512628668270, 0, -4192122151612, 1260140246545, 0, 789083689409, 6833303128362, 0, -7615087067944, -2020252143717, 0, -193125061965, 2704522664332, 0, -394467038894, 946806317192, 0, 1570008320170, 2541506428989, 0, -4386968798286, 271868191573, 0, -3227378238893, 1612569186073, 0, -3663922500598, 2270230540449, 0, 889592115384, -58493781421, 0, -433798395605, 976329110387, 0, -2029214227867, 4634292725235, 0, 788037363711, -1533196930618, 0, -3600233218475, 2267243804486, 0, -803398399565, -3168720098328, 0, -2646956161423, -664702972250, 0, -49275936180, 2952244072228, 0, 29040309017, -940003730657, 0, -4925897146714, -2943215867322, 0, -4333472994095, 1602577981323, 0, -9269894750591, -237953937776, 0, 4266531176949, 536152668279, 0, 614791240815, 696131123198, 0, -1238179401363, -8617636187856, 0, -4416149650163, -5244317339166, 0, -73068159277, 2253087557011, 0, 2484363736896, -2503623040954, 0, -2291943807529, 5209436396892, 0, -8462765769078, -3170516708102, 0, -492352504219, 2186280627913, 0, -2252216368724, -4119805074139, 0, -98503845098, 5559071249993, 0, 4758819571173, -1046034487903, 0, 1264466375244, 2526535359011, 0, -1563620082671, -1681278305826, 0, -5381198847569, -547476424068, 0, 2895840101458, -247237756805, 0, 251944227470, 3665900165539, 0, 6848501627338, -1748895768398, 0, -2931710634508, -14471183061402, 0, 2262652474863, 4304157596663, 0, 1275867700819, 796563387781, 0, 1038833419790, 98286584998, 0, -2153692453612, 4880095040271, 0, -6038142311587, -755019330622, 0, 2410082086217, 2272378152343, 0, -274909384137, 2305270327415, 0, 1613891621128, -2421793167041, 0, 2666130231845, -4075249307335, 0, 5568890254711, 555060349327, 0, -7013129711138, -2379190397142, 0, 3462986583774, -1213069686447, 0, 3105620473772, -1210146538632, 0, -452663052447, -6692535705884, 0, -3663736790670, -1105188549979, 0, -8186007132162, 7509840175531, 0, 4808466943983, -1423028800567, 0, 1462672771251, 2479702967425, 0, 1424594586557, 820811992575, 0, -141298274961, 2416145255394, 0, -10180927057, -5578348910063, 0, 6590495214019, 5456764888945, 0, 122595654196, -2896354563935, 0, -3512186764897, -5097253279243, 0, -3835183835529, 2085925367441, 0, -345507083997, -7070311536170, 0, 6334560248818, -101346505102, 0, -7893734227280, 8922485352327, 0, 1327402336878, 773848452850, 0, -214468314242, -7758422900718, 0, 15554387067628, 1558412433074, 0, 5263939212277, 197551669562, 0, 2028391775473, -1998425244201, 0, 2105041936168, 11406499233170, 0, -1363926368489, -4091317477453, 0, 3356809242272, -2324238285962, 0, -106922824710, 5277521799229, 0, 2700772506749, -4796115341383, 0, 3974061710143, -7341477243845, 0, -198338650123, -3599009260424, 0, 7352939005250, -2435705589314, 0, 3008678887291, 1007478326220, 0, 10429842713940, 7163853800, 0, -7826654173684, -7272492732571, 0, 1745173857750, -9065072808362, 0, 1658606698107, 7336695652958, 0, 9842466392961, 4380498498513, 0, -1445826939508, -10234276719246, 0, -104102823422, -192945454992, 0, 238074308287, 144569841732, 0, 2262519602490, -6788810298847, 0, -1119527453653, 909564228035, 0, 3869273347068, 1394032318286, 0, -26038452950, -2743666649011, 0, -8293400551356, -158187821541, 0, -2278806989683, 4463773237413, 0, 4678593055407, 4519246110005, 0, 2542168252720, 116121906307, 0, -2118964723750, -11353215557252, 0, -3402107210232, -536481666132, 0, 10033334432879, 1380863694445, 0, 2749811592844, -632292728277, 0, 726922912403, -98164286273, 0, 5878441046617, 16133979474700, 0, -3916808227043, 2508128808822, 0, 3230376225864, -6810654612783, 0, 643050459899, 4772136695274, 0, -3548626426535, -11810649496088, 0, 5557126850271, -4181179284569, 0, 4110272546437, -1458528407135, 0, 5273655350039, -5500618575230, 0, 3167424159793, -8176370711781, 0, -1361201086759, -2829461934079, 0, 5054532896224, 391790028991, 0, 139078133217, 625662808978, 0, -9081615848508, 377599306467, 0, 5139232831006, -3617648913597, 0, 10240861129938, -3629508556256, 0, -1792140563293, 1114370553539, 0, -716574727186, -12567539935445, 0, 4053012583615, -1659861103460, 0, -144406287859, -3844822731263, 0, 8409282817911, 98479506133, 0, -7801310384059, -2274022911575, 0, -88094936517, -493784697998, 0, 3195274495008, -2994558432669, 0, 8415034851336, 1024555555219, 0, -2759661792926, 11637658830239, 0, 21534602441, -833826237686, 0, 3425785067946, -980380095281, 0, 8911377255357, 2510383491874, 0, 3702955771560, 2511022357692, 0, -4119193277245, -3528909256862, 0, 5987376416641, -2041453932156, 0, 2249923738351, 298985472383, 0, -5271472320062, -2598540388588, 0, 7355045808302, 3158972981572, 0, 7512133687149, -5756380892900, 0, 2489542920787, -481729177622, 0, 1407911632074, -48019586759, 0, -1744533579931, -2949729486127, 0, 8752112448959, 516536286815, 0, -4520339354218, -4856705313577, 0, -6674278901056, -13012241280970, 0, -2742616710511, -397435924473, 0, 2796241758247, 5990455486076, 0, -8222154871203, -87276385990, 0, -11316031383092, -10719362032153, 0, 12374563326385, 5390743442086, 0, -496089040876, 969737421427, 0, -1438028007673, 1767360211620, 0, -2984000409570, 15618449979592, 0, 334996010797, 2684770517, 0, -4586471660350, 5642281769303, 0, -8097183983379, -2672015522266, 0, -9192556947527, 2301953161704, 0, 11042009720394, 6972622024360, 0, 212792156298, 5968044897806, 0, -8358257734520, 13872833874186, 0, -976988793181, -5418132072980, 0, -8710842733707, 389210046078, 0, 8800801357207, -1282667113552, 0, -4163480868416, 725191620918, 0, -5539589329446, 22169769570948, 0, -38255328073, 43558747001, 0, -1299872793049, -3885650509933, 0, 6680221308525, 1816974996965, 0, -7692423039895, 7797819411374, 0, 5861549672211, -4373478865514, 0, 5436398613706, -6624692096780, 0, 13720986570431, -7325141560109, 0, -12091620285787, 509128840135, 0, 2509832377063, 8111980414163, 0, -691819674384, 13140977523675, 0, -6427198073189, -1819128917070, 0, -3038445809572, -5546833551166, 0, 14914289717087, 6639729766914, 0, 4339732796600, -2946112431477, 0, -14417078151593, -1879627102622, 0, -4507825297515, 3318568762873, 0, 180110605493, -5835636395197, 0, 8664039545280, 13698256422314, 0, -4669767271941, 963876923648, 0, -9890624660824, -15151984845223, 0, -4815594005997, 3266912177415, 0, 3174967632883, 7725221663146, 0, 11000279254829, 3847804245641, 0, 2639218016609, 9902478461492, 0, 7043968141121, 6440991866376, 0, 6878672519979, -4636326489699, 0, 2063516836638, 5036614368992, 0, 1056675701149, 11765567081523, 0, 4990522443650, -4012835512674, 0, -2663499847691, 4536220642577, 0, 11529642108806, 6193778918929, 0, 52124013550, -6628343678745, 0, 10015477262721, 12266046841380, 0], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "177.8.a.c", "char_is_minimal": true, "conrey_index": 1, "id": null, "nf_label": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "field_disc": null, "field_disc_factorization": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [68, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [19, -2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [185, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [-128, -87, 0, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [380, -9, 7, 1, 0, 0, -1, 1, 0, 1, 2, -1, 0, 0, 0, 0, 1], [96, 69, 1, -1, 4, -1, 0, 0, 1, 2, 0, -1, 0, -1, 1, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1076, -107, 12, 1, -9, 1, 0, -1, -1, -1, 1, -1, 1, -1, 2, 0, -1], [483, -180, -3, -2, 19, -1, -2, -1, 0, 0, -2, -2, -1, -2, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8125, 43, 121, -3, -23, -4, -1, -2, 0, 7, 6, -1, -2, -5, 2, 1, 6], [913, 94, -35, 4, 8, 0, 3, 0, -12, 1, 5, 1, 3, -4, 7, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2993, 248, 77, -6, -16, -3, 6, -2, -6, 1, -4, -5, -1, -10, 0, 2, 1], [106, -935, -57, 15, 99, -9, -6, -2, 3, -1, -21, -9, 7, 4, -8, 6, -8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-13772, -238, 33, 1, 2, -9, -4, -5, 12, 9, 7, -12, 7, 2, -5, -9, 7], [-3851, 914, -68, -7, 20, -1, 6, 8, 1, 14, 21, -12, -10, -18, 7, -2, 24], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [11847, -209, 145, 22, 71, -8, 1, 8, -24, -11, 14, 13, 8, 3, 17, 19, -27], [21933, -2583, 53, -55, -43, 1, -15, -7, 8, 22, 43, -4, -6, 1, -14, -27, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [10417, 848, 395, -11, -95, -2, -12, 20, 14, 25, 49, -9, -14, 13, 28, -11, 30], [29772, -1986, 76, 12, 76, -17, -10, 30, 22, 7, 50, 18, -16, -10, 44, 1, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [20225, 1722, -80, -79, 47, -4, -38, 34, 16, -51, 43, 3, -23, -13, -13, -13, 30], [16093, -14219, -38, -60, 199, -50, 29, -55, 62, -50, 57, 14, 11, 52, 30, 9, -14], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-19916, 5244, -134, 10, 373, 49, -100, -22, 49, 77, -11, -45, 28, 79, -116, -56, -4], [-4155, -9369, -341, -17, 277, 23, -47, 34, -57, 1, -15, 31, 46, 7, -50, -29, -15], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [25685, 3919, 265, -57, 412, -30, 69, 3, -11, -99, 167, 56, -28, -21, 37, 16, 22], [-43810, -14578, -75, -150, -283, -120, 3, -25, 65, 40, 93, -22, -7, 54, -48, -98, -30], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [127778, 11403, 994, 246, 235, -40, 88, 104, 19, 131, 71, -49, 43, 4, 76, 106, -56], [-54646, -9363, 698, 4, -153, 24, 21, 85, -26, 50, -118, -95, 1, -79, -44, 24, 83], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [26464, 15468, -271, -6, 222, -48, 85, -37, -103, 8, 234, 89, -20, -61, 102, -35, -60], [34438, 366, 1067, 137, 95, -106, 51, 64, -77, -49, 32, 38, -94, -20, 65, 197, -54], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-181798, 14854, -1805, 87, 1154, -80, -111, -81, 220, 5, -144, -112, -25, 108, -165, -147, -22], [-42560, 1891, 1731, -10, 606, -153, 162, 53, -26, -118, 19, 86, -264, -77, 123, 90, 66], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [111047, 7723, -1471, -54, -475, 218, 56, 33, -218, -41, 256, -48, 150, -93, -99, 133, 0], [54788, -31363, 1336, 19, 1084, 92, -325, 0, -28, 110, -79, -229, 296, 161, -459, 13, 19], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [370016, -16333, 2350, -562, -174, -12, 251, -131, -214, -235, 140, 326, -204, -153, 135, 21, 158], [61018, -21688, 2415, 397, 1979, 324, 133, -181, -67, -33, -8, 120, 349, 114, 231, -76, -238], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [307782, -1245, -1193, 30, -277, -388, 241, -174, 8, -55, -558, 101, 100, 225, -187, 141, -411], [-195943, -43936, 650, -211, 1566, -238, 68, -333, 37, -141, -699, 300, 147, 154, -403, -210, -116], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [398168, -36279, 2196, -16, 2244, 164, -350, -194, 260, -250, -380, -269, 337, 160, -569, -21, 163], [205379, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [671823, 35121, 2144, 208, -967, -11, -167, 153, -136, -129, 61, 309, -105, -131, 264, -19, -139], [-353359, -10573, 2963, -483, -642, 340, 67, -81, -149, -237, 992, 537, -578, -428, 592, -1, 205], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1729020, -7545, 13932, -855, -1810, -381, -452, 210, 144, 458, 122, 122, -746, -562, 292, -20, 588], [-655145, 14584, 902, 781, 2434, 1174, 240, -161, -553, -600, -28, -173, 260, -30, 308, 399, -17], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [819163, 38412, 1223, -545, -2027, 85, 13, -336, 158, 563, -307, -304, -420, 441, 306, -143, 205], [-1159755, 23364, -4399, 1319, 1091, 391, 418, 827, 180, -566, 604, -132, -167, -48, 948, 801, -510], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1805728, 63232, 9667, 1454, -64, 1326, 266, 415, -944, -507, 233, 265, 639, 123, 576, 572, -543], [-307006, -9945, 2337, -943, 368, -105, -398, -653, -341, 823, 663, -114, -510, 265, -568, -225, -138], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [316127, 33918, 751, 1243, -306, 393, 839, 128, 365, -791, -575, -93, 381, -214, 390, 27, -287], [-748606, -69643, 4707, -1640, -521, -845, -1122, 121, 609, 1008, 324, -419, -1228, -694, -219, -381, 1274], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2454679, 16214, 21000, -286, -2472, -46, 113, -438, 37, 338, -887, 447, -714, -705, 821, -130, 680], [-584622, -15505, 5069, 573, -2299, -360, 623, 721, 801, -211, -527, 844, 76, -825, 687, -628, -256], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [894176, 50886, -1613, 135, -6055, -41, -544, 134, 679, 1904, -426, -873, 249, -236, -263, -1529, -309], [-2125919, -156019, -10727, 1714, 6266, -763, -967, 62, 753, 450, -4261, -1234, 2235, 1049, -3054, -235, -494], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1888080, -32772, 3886, 1524, 7344, -1155, 221, -72, 534, -368, -2227, 150, 860, 1092, -926, -314, -1807], [-458094, -29771, 5174, -588, 725, 1244, 1253, -915, -394, 198, 1154, 529, 609, 1009, 1052, -792, -145], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [718832, -208403, 2026, 421, 7041, 2747, 1579, -825, -1891, -2026, 1562, 215, 1477, -657, 541, 1142, 81], [-3030466, -3870, -16541, -1896, -3119, 955, -1076, -405, 405, 444, 168, -1572, -109, 46, -1446, -1104, 1309], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1798422, -148654, -4474, -180, 11995, -435, -841, 366, -177, -1157, -2410, 252, -4, 1352, -2337, 1219, -918], [359525, 105088, 14126, 309, -5027, -192, -220, 181, 478, 1024, -2458, -324, -613, -551, 832, 419, 761], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [700466, -155896, 2670, 154, -4270, 1830, -2681, 387, 2628, 676, 1124, -1873, -710, 642, -2, -374, 883], [-2588769, 313138, -3210, 3988, -6732, 582, 293, 2238, -391, 1070, 2405, -695, -1208, -197, 2731, 1128, -32], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-241576, -205666, 3169, -3811, 5795, -2864, -1700, -37, 2629, 1124, -298, -1957, -2195, 509, -3099, -2063, 2771], [-1409890, 131351, -4623, 822, 2835, -1177, 1597, -339, -340, -1161, -3427, -786, 696, -1149, 150, 134, 340], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1586738, -319410, 5446, -493, -2282, -460, -477, 176, -2479, 1128, 331, 770, 712, -110, -898, -805, 870], [-1559125, 97851, -20907, 2786, -68, 1891, -725, -903, -1133, -1575, -1972, 1741, 1843, 1319, -432, 449, -3846], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4682808, -178485, 24969, 3732, 8732, -983, 1702, 2087, -788, 2031, 2461, -539, 695, -1253, 4198, 2666, 496]]}