# Stored data for newform 531.8.a.b, downloaded from the LMFDB on 25 April 2024.
{"label": "531.8.a.b", "space_label": "531.8.a", "level": 531, "weight": 8, "hecke_orbit": 2, "hecke_orbit_code": 4503599761588755, "dim": 16, "is_polredabs": true, "trace_hash": 454473167100527667, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-2385018853548032, 3193975642099712, -493048066650624, -494039551757568, 99470801612800, 16796366777600, -3353576629440, -226132003872, 42885295136, 1488374176, -269092298, -5107725, 890490, 8791, -1493, -6, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+(61+\\beta _{2})q^{4}+(5-\\beta _{1}-\\beta _{4}+\\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": 124416, "level_radical": 177, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "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": 7, "inner_twist_count": 1, "level_primes": [3, 59], "conrey_indexes": [1], "field_disc": 17456714708899061621955714912534868410834063975732312377153917312308621162144157555634641896270080, "field_disc_factorization": [[2, 8], [5, 1], [59, 1], [193, 1], [1197686692397241757456125605990855005353834414774819447145999639961456949409425054038777903, 1]], "field_poly": [-2385018853548032, 3193975642099712, -493048066650624, -494039551757568, 99470801612800, 16796366777600, -3353576629440, -226132003872, 42885295136, 1488374176, -269092298, -5107725, 890490, 8791, -1493, -6, 1], "hecke_ring_index_factorization": [[2, 9], [3, 5]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "12.887", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "492.610", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "30873.084", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 16, "sato_tate_group": "7.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [59, 1]], "trace_display": [6, 0, 68, -2343], "traces": [0, 16, 6, 0, 974, 68, 0, -2343, -819, 0, -3479, -898, 0, -8172, 13315, 0, 3138, 44985, 0, -40137, -130657, 0, 109394, 2833, 0, 285746, 129420, 0, 112890, -144375, 0, -141759, 36224, 0, -341332, 78859, 0, -297971, -329075, 0, -203048, -659077, 0, -1431608, -254916, 0, 873113, 1574073, 0, 1893545, -302533, 0, -4972548, -587736, 0, -4624036, 5798506, 0, -6991380, -3286064, 0, -6117131, 11570258, 0, -19063011, 5335514, 0, -16518710, 17284669, 0, -39189486, 10882582, 0, -21097441, 16717030, 0, -40864952, 3404601, 0, -3784458, 27466195, 0, -24990117, 1951425, 0, -23238675, 35910572, 0, -27843055, -10499443, 0, 699217, 20062766, 0, -59358988, 29236333, 0, -25158976, -2120460, 0, -6412887, 8493650, 0, -22724440, 29093321, 0, -54031757, 15215195, 0, 3295401, 42094133, 0, -37264133, -17428958, 0, -2688829, -36112989, 0, -1232274, 6977844, 0, -14881940, 27735684, 0, -93447867, 3797310, 0, 20221898, -19797536, 0, -115076831, -43221030, 0, -40440494, -112144237, 0, -45460528, 84011000, 0, 953404, 152638401, 0, -26366014, 118979492, 0, 32920513, 73018112, 0, 35360243, -91470901, 0, -44624701, 52823905, 0, -26060639, 44708801, 0, -80297902, -204814796, 0, -39795163, 43163806, 0, -142251553, -37773446, 0, 95621725, 41830015, 0, 46886220, -187808131, 0, -341329280, -129721581, 0, -276685928, -402443518, 0, -93975382, -320336100, 0, 186753307, -517801317, 0, 233545321, -674242635, 0, -126914973, -420989851, 0, 334425883, -223946994, 0, 44406946, -590202503, 0, 478398177, -619548224, 0, -72923865, -1265990587, 0, -87154601, -283286137, 0, 437858579, -1024295082, 0, -131040392, -633358883, 0, -261101571, -610304251, 0, -72456731, 450650738, 0, -285045489, -1127267843, 0, -197772947, -743948695, 0, -454725848, -984101080, 0, 440195929, 472242491, 0, -605544499, -1810328187, 0, -617226279, -14618314, 0, -1698362061, -200039146, 0, -123163036, 326916470, 0, -1311716726, -419808758, 0, -556254373, -202224599, 0, -1679221411, 425298471, 0, -978251615, 580266338, 0, -2034256333, -785617053, 0, -675499742, 1284770866, 0, -2303115200, -71717265, 0, -1215479822, 1455838235, 0, -2711353290, -2501135507, 0, -1126236299, 810911234, 0, -1524046652, -289990030, 0, -952696614, 849621754, 0, -2752061230, -1872625477, 0, -1894834835, 361880000, 0, -1280305017, -308723080, 0, -314205648, 2752295577, 0, -2400294267, -313371472, 0, -3339382097, 790775453, 0, -13965772, -716268004, 0, -1423060714, 2026536419, 0, -1195938389, -234391652, 0, -627232607, 1557186437, 0, -3590415300, -1656530116, 0, 687972860, -399156001, 0, -2287849055, -783130493, 0, 282230744, 1789970768, 0, -2843095425, 569686836, 0, -2159536759, 1114849981, 0, -1698157522, -1178253184, 0, -2097649832, -105685687, 0, -1284973154, -809157854, 0, -1331284344, 1173758166, 0, -517956643, -2782495086, 0, -582587126, -173140001, 0, -5959753158, 1485563713, 0, 3613116495, -862402919, 0, -3181574354, -243639513, 0, -1685902282, 2795224689, 0, -5905028476, -545040021, 0, 686397618, 1745335486, 0, 2294121895, -621596850, 0, 284481768, -1767131827, 0, -2682974558, 875174345, 0, 2290537007, -593163679, 0, -3532065967, -2158454312, 0, -3901074049, 319494793, 0, -2281313754, 2583010556, 0, -3790100795, 3579931572, 0, -1376979549, 3971240475, 0, -5363278651, 267684446, 0, -2180807133, -5315175969, 0, 1506926712, 3286470982, 0, -2338847586, 1213596048, 0, 2118767541, -5790921211, 0, -3750103663, 1317106919, 0, 2555658307, 5708963541, 0, 1109156528, -5551063592, 0, 6484942936, 481202997, 0, -916496751, -8450281510, 0, 3152402321, -2618252510, 0, -1030394054, -8297434190, 0, 4685209928, 7756485334, 0, -132522597, -4363136372, 0, 9655265969, -565013437, 0, 5401135945, -7492788895, 0, 8860994736, -3138959155, 0, -3579632699, 3535840480, 0, 12889784230, 2156020899, 0, -591133885, -5315951619, 0, 7100322120, -10016736606, 0, 3949111779, -8453711237, 0, 6680092982, -9878549183, 0, 6780843691, -6522490711, 0, 9692609592, -4377396343, 0, -8258269829, -10540530510, 0, 11983479902, 3344648338, 0, -1511797593, -1240654544, 0, 168205401, -5569099294, 0, -1154380340, -12389396310, 0, 16388937849, 10576800359, 0, 13270692087, -1732030523, 0, -2689244746, -11432026180, 0, -3930287713, -1442851219, 0, 27171266778, -6203225429, 0, 1637783386, -8199349149, 0, 8341356464, 1390663267, 0, -4372837802, -8689313565, 0, 13364847745, 19424413247, 0, -3058785170, -495404371, 0, 17984243969, -9165036167, 0, 5891841563, 10313914637, 0, 23248703059, -1015578126, 0, 10221185305, 7683017726, 0, -3043055702, -3453913391, 0, -1248721042, -2102001840, 0, 14922406997, -9272007806, 0, 12855658671, 5337016283, 0, 8468369959, -1262398517, 0, -5042865395, -9131715430, 0, 692519382, 15205300605, 0, 3929290288, 8171790468, 0, 4038570637, 7780984373, 0, 8724437109, 23159087482, 0, 4385163021, 25520715468, 0, -3531308821, 8523612031, 0, 16266312735, 6002153382, 0, -11741919946, 26499158608, 0, -572192379, 27152209892, 0, 10133549130, 12635114996, 0, 12887048869, -2230128525, 0, -9714983544, 19191310898, 0, 12264755840, 19029971224, 0, -3098726720, 23801875173, 0, -944711523, -10384652771, 0, -12578595604, 24076962165, 0, 10169138513, 30353734608, 0, 19494769592, 714513541, 0, 7212831424, 11151226321, 0, 11248083684, -3047612725, 0, -8335262649, 3987027336, 0, 11704986463, 23653704265, 0, -1854899627, 5649953522, 0, -8611540452, 31955432324, 0, 21359551376, 4221927479, 0, 10616160400, 21474189730, 0, 24886796242, 381157743, 0, -1661093504, 42118245361, 0, -16890590406, 28527833707, 0, 28515573620, -30022685467, 0, 1741011091, 18673078121, 0, 2945762662, -4232836897, 0, 18432672619, 18868691486, 0, -4469556655, 52296152840, 0, 7533389009, -15134253044, 0, -17224612533, 59207011551, 0, 23068927534, 7818701026, 0, 184430342, 79864087751, 0, 30548801415, 10487073523, 0, -27270373986, 11577228659, 0, 40414074779, 17826745173, 0, -8377692301, 15663288112, 0, 4484564958, -52070013954, 0, 7459969000, 42987861809, 0, 11079983701, 14357020783, 0, -534637588, 2959230609, 0, 13837292758, 12126129164, 0, 1669126799, -1155716925, 0, 22252300386, 13145449804, 0, 10418687830, 29725121316, 0, -6811827940, -11669229530, 0, 5957913368, -10434987436, 0, 5997292860, 6189044516, 0, -24784174424, 68178813968, 0, 12344194349, -49279108307, 0, -65915367041, 12718463789, 0, -16115290321, -36321886378, 0, -14845334150, -10267191511, 0, 21000746335, -18747757916, 0, 26445467776, -23862521122, 0, 602213105, 10521674239, 0, 32975661438, 17578340026, 0, 54942812249, -26585838606, 0, 8475114328, -2489087920, 0, -15041044576, -71941506177, 0, 1033182214, -20455021577, 0, 4997072850, -18649133944, 0, 18768516681, -33112962000, 0, 43617976474, -42887380791, 0, 17232452009, 4091731549, 0, -42530850813, -107214016552, 0, 41776227092, -31337067606, 0, -16109754722, -58013165713, 0, -4685211145, 72930391941, 0, -10407794073, -71499143170, 0, -23471824122, 9599542179, 0, 72702796832, 1678357188, 0, 47451588301, -36279753420, 0, -33556707695, -41693703366, 0, -57339705122, 17763742616, 0, -62423073326, -39357265840, 0, 35279329942, 38363887764, 0, 23848671582, -80268764712, 0, -4481986550, 26810047206, 0, 32974630675, -8368450905, 0, -11815607159, 31513849117, 0, -20358285513, -75105956414, 0, 42898930994, 23897602833, 0, -25891044923, -74762163877, 0, -62574283238, -74110113900, 0, 7865438485, -65891870513, 0, 6467155116, 21429074486, 0, -33419015232, -3805716807, 0, 99545264973, 52882433496, 0, 44398382671, -67664157797, 0, -54726575996, -39335161136, 0, -2734621385, 11608350962, 0, 23482370901, 94760339166, 0, 5376316289, -53219704494, 0, -4242292657, -19771958142, 0, -43819253161, -40738147808, 0, 8197971843, 25309467576, 0, -12677678261, -145267014266, 0, -20668978046, -30384148751, 0, -18178325869, -101376946351, 0, -67641802905, 31883842627, 0, 18642009075, 5333754894, 0, -36121158248, -21560695213, 0, 23857171490, -45013640429, 0, -48478652391, -44922304940, 0, 2244487516, -139699960348, 0, -22207667614, -6427747279, 0, -135790858024, -36332041855, 0, 46471210228, 8996145236, 0, -57776909961, 9559168642, 0, 47136250428, -8423670275, 0, -56040225752, -56841964718, 0, -17290021401, -18245313934, 0, -29375011161, -16918673032, 0, -26697531750, -56969475281, 0, -62496363880, -76014041897, 0, 16626364903, 17259126613, 0, 68886261008, 44211515061, 0, -74468027722, 137357691513, 0, 139498808030, -84651933205, 0, -19019308207, 89898691614, 0, -75728432406, -71025959324, 0, 15384378056, -73686057255, 0, 102341792885, 94924644754, 0, 7010263810, -25364690211, 0, 9957389065, -145103470736, 0, -143240111688, -40084365932, 0, -102562051543, -96287917077, 0, -131853057740, -5667831234, 0, -206026584185, -137254352674, 0, -76213733796, -644479302, 0, 74369425566, -68917586219, 0, 54887145921, 117313607024, 0, -158605759819, -4698641670, 0, -79815621958, -17533311531, 0, -59438843667, 15508125967, 0, -163196219005, 173149626774, 0, -141234740109, 38915254400, 0, -56663358603, 136809589060, 0, 83205030463, 94536526719, 0, -199272120371, -63696127534, 0, 758403390, -22212334138, 0, -172204708139, -111977528683, 0, -43392817726, 179887260732, 0, -98579759030, 55518201623, 0, 49031467296, -15682357117, 0, -203603794871, 35758719315, 0, 53093011183, 43405942825, 0, -120787568281, 139982522497, 0, -90988816622, -28200216591, 0, -9238974315, 151635902115, 0, 1734807254, 102195848119, 0, -32189132036, -71138793554, 0, -151529671124, 130895200236, 0, -219168989687, -21620674114, 0, -33953433752, -75491004200, 0, -227787597078, 28864203785, 0, 8530622490, -43972908486, 0, -336075181396, 77683960261, 0, -166867997040, -3364384677, 0, -142748382026, 52447245338, 0, -362766091510, -251443809638, 0, -38209576392, -64316492941, 0, -30682365186, 41701238512, 0, -103499842657, -95770203857, 0, -45194468790, 111033777124, 0, -300337394060, 237068270892, 0, 15414503949, 89769029785, 0, -130646646499, 122296987598, 0, -111062825435, 44501783062, 0, -264506529579, -175653348470, 0, -185644295893, -905224814, 0, 92541741992, 615557025481, 0, 99090305877, -24539357984, 0, -323957105346, 90095876430, 0, -114500072644, -41150705643, 0, -170295690960, 109166594462, 0, 43607480294, 14394784113, 0, -143523173040, -77807694974, 0, 206345575943, 191699299192, 0, -40316940322, -216497509565, 0, 43621649039, 48382417662, 0, -35631733707, 167862497967, 0, 152069174505, 190276385418, 0, -90077367157, 142249462259, 0, -55165522799, -179739100933, 0, -308983314006, -303381699948, 0, 273114617812, -64387288056, 0, -213179896756, -450236312014, 0, 190031927419, 8243296923, 0, -164306481052, -98390085163, 0, -14157546133, -94373444952, 0, -200705698656, -118568819595, 0, 38693509347, 77459883846, 0, -69608205733, -129759090634, 0, 129556247152, 153032017193, 0, -194225801355, -465435298441, 0, 188248111257, -93118234903, 0, 51503166232, 313335954447, 0, 430544149782, -76986769869, 0, 86091577728, -186664321358, 0, 191800218658, -338176016561, 0, -141921924592, -139943893541, 0, 552913442070, -157297414822, 0, 69152885826, -70423923493, 0, 13064681278, 30506196267, 0, 125611525906, -60242060312, 0, 377101937886, 243227084812, 0, 267975559013, -46204977727, 0, 26834204003, -115044634769, 0, -87501265844, -274844536705, 0, 272826185306, 187880974420, 0, 29503266845, -431641153165, 0, 338043961708, 116577949933, 0, -144010200356, 247966682786, 0, 343764413497, -326109048927, 0, -62635442835, -316305697029, 0, 454572757258, -340533700216, 0, -349330706783, -228936877805, 0, 603106791320, 379936827965, 0, 20900465337, -334679097248, 0, 566483734655, -407262118257, 0, -29509381135, -7834618059, 0, 749312254864, 24488427335, 0, 203375968364, -209238180919, 0, -4752599462, -158094962706, 0, -424556738730, 65659050169, 0, 201882869208, 206845777283, 0, 126584140447, 144070583407, 0, 254144277923, 66907839950, 0, -379671039164, -223811121931, 0, 467039838447, 358340047561, 0, 108854242245, 309684064280, 0, 77786030266, -114660616307, 0, 9610461378, 401393182416, 0, 439854849939, 336174283902, 0, 302063840120, -82348030366, 0, 676261115508, -234785640139, 0, -111327872333, 29451968501, 0, 262362946129, 12707558417, 0, 203675118309, 356556506392, 0, 345179439103, 135329012219, 0, 215057384188, -199875972537, 0, 599325599625, 224458060617, 0, 108542007700, 711400306439, 0, -31391326312, -844335959341, 0, -459269903588, 8028639503, 0, 107272848806, 312858665274, 0, -13874353873, -22467230326, 0, 243052129213, 133500765582, 0, 170973282527, 198627697903, 0, -255566563594, 87595044776, 0, 285476784426, 225765139586, 0, 220383860828, 251047926732, 0, -838066280945, -217479099184, 0, 290368956215, -128056561524, 0, -355201551623, 152381519140, 0, 1091325985846, -299659670238, 0, -4104503674, -116235585755, 0, 1005348108619, 296191930566, 0, 312911184209, -759040414473, 0, -429737053047, 510663495089, 0, 230453202098, 94973675639, 0, 295626702516, 86281318347, 0, -19362170658, 574919256056, 0, 590571078786, -218397989991, 0, -112490457216, -20478508870, 0, 581014885018, 148365248672, 0, -581838707, 728077297152, 0, 562473314889, 125581365569, 0, -451262499151, -391488978451, 0, 64695599900, 508551482875, 0, 326272362657, 182200947161, 0, -328816778076, -313568177732, 0, -382653512564, 347312890534, 0, 658974177287, -196455797532, 0, 233914262674, 71815059185, 0, 280629500474, 690742303438, 0, 343669331448, 234529750977, 0, 543491541169, -33668874911, 0, 832948276499, -805378110268, 0, -585769058942, -387888848064, 0, 5005703466, 282495408837, 0, 150910131571, 350179951988, 0, 57184767346, 376424258952, 0, 269794680964, -185696359640, 0, -539570862238, 1188074973316, 0, 436347400673, -314652843081, 0, -392893694859, 309224055456, 0, 495247616541, -233126271929, 0, 144318448927, 76066763692, 0, -365052901165, 281081564380, 0, 559498738093, 417366400663, 0, 204979039485, -26323276247, 0, 11775497347, 536174892095, 0, 635292788655, 385657107450, 0, 122230897442, -785753906182, 0, 566643731701, -206628450175, 0, -596597866870, -162421497057, 0, 996393841528, 397201900033, 0, 717705157015, 975991102283, 0, -80705673789, -410624220647, 0, 269833355704, -535740729831, 0, -82488857752, 1000121347752, 0, -764748396987, 71984233101, 0, -169357940401, -361792766482, 0, -237406201681, 120105422763, 0, -150839405263, -58686227734, 0, 222418251180, -179622001706, 0, 1018037289243, 325404034970, 0, -662380362164, 320638481423, 0, -649292157255, 532118049938, 0, -329711232654, 771628827703, 0, 127701407046, 351927623497, 0, -961323905151, -269118236822, 0, 142751267975, 141152334632, 0, 553787729203, 455919220718, 0, 270530815575, -1162393024787, 0, -305780756994, 816903761171, 0, -635742874100, -69948418789, 0, -74769227076, 485415290179, 0, -1052941901629, -620400509220, 0, -331769122561, 216691378051, 0, -268502336603, 1065448108574, 0, 273945036066, 936537269303, 0, -427332534906, 279194445834, 0, -737367375090, 749778004, 0, -26580150180, 1186958017552, 0, 134356534107, 900931274445, 0, -322855569969, -964056287377, 0, -407277152914, -46502090059, 0, -1257588980128, 967117070358, 0, 146519317642, -375341742646, 0, -535562484073, 462859254641, 0, -46514113249, 793168505982, 0, -248747597221, -206639849293, 0, -1154571805994, 71548985190, 0, 66670119311, -262642357889, 0, -1091539364414, 52435158971, 0, 1430816089365, 514692334122, 0, -290561609086, -237423370912, 0, 539757608824, -214145557606, 0, -201532307675, 281638530205, 0, -1272531742680, 1058827432444, 0, 287658896446, -484299224798, 0, -323970089371, 71297527306, 0, -1159023527963, 832901993057, 0, -877748252893, -140154144515, 0, -125263305183, 125037609859, 0, -202467041087, 484264175309, 0, -928707435013, -617738330782, 0, -73863346662, 535618841365, 0, -41009856626, 559491315349, 0, -36094144715, -889499303318, 0, 554549964643, 814038290657, 0, 230063909033, -487043884426, 0, 144123838844, -135888963811, 0, -149536141397, -1160143588190, 0, 227585767354, 825062077675, 0, 1221279872674, 386733626672, 0, 347306514487, -476248108769, 0, -212141577928, -682169805170, 0, -193236419235, -1100670518619, 0, -215489926605, -232827140637, 0, 1991996898507, 261915816293, 0, -551577951086, -1434065925505, 0, -660630164406, -23185235310, 0, 902002584213, 375781818482, 0, 60247275267, 302360099440, 0, -1420454535329, -440791998247, 0, -381284007368, 565652908874, 0, -1445230130231, -175310242664, 0, 1207743921566, -1084157737750, 0, -37787808725, -659550187291, 0, -273250153852, -663793145603, 0, 398471543585, 183010293752, 0, -124546316891, -122604014055, 0, 479853201610, -1174075074389, 0, -519073163936, -1807931133698, 0, -290403490, 71721227226, 0, 704635191798, -2059752658246, 0, 116307511479, -267394139132, 0, 67506767886, 1295940210381, 0, 1367392340458, 79348658670, 0, 823999146353, 187497226009, 0, -276928005730, -1080319222627, 0, 29651593125, -350810600443, 0, 282728060297, 793472643314, 0, 516137006278, -68979677938, 0, -512489749502, -923379024858, 0, 54603010018, -545678189615, 0, 303603610951, 303226591562, 0, 318605023174, -2189403128916, 0, 1015531074849, -1190675093686, 0, 758792391419, -612891338019, 0, -1753863120310, 248500529732, 0, 779870420814, 263397313009, 0, 1034431590685, -959664062080, 0, 963172589431, -1212556960899, 0, -687523910154, 841430037508, 0, 969181123853, -1219682462006, 0, 159035915047, -2058964527731, 0, -1007871233314, -605489060445, 0, -1433113295160, 62013595877, 0, 1818534385151, 123207508996, 0, 649111953966, -800400451461, 0, 253740526784, -651791550141, 0, -1274497991, -2222348315842, 0, -70990792034, 1332467034770, 0, -257478457447, -1259966205294, 0, -71122857581, -760995289489, 0, 15991049591, 259908717439, 0, 1600836873242, 1222988797495, 0, -67346191486, -507979951565, 0, 899821020540, -1697765729654, 0, -1153632507689, 182895382236, 0, 127330756176, -554182388621, 0, -214254106612, -1350871123191, 0, -225756764356, 1573753215307, 0, 73225771136, 284521314604, 0, 1401394955586, -1329022461743, 0, -439033976156, 124653337633, 0, -886760545389, -3627792862189, 0, -1323047474091, 631057594714, 0, -726066001648, 977351688175, 0, -764557895287, 29114321661, 0, 65571084748, -748335941590, 0, 272999593782, 270332017404, 0, -231563557827, 681144388846, 0, 412126307189, 186883111047, 0, -443682449041, -491080679592, 0, -1232805123058, 883998669714, 0, 1352242996564, -63655215881, 0, -2394098103526, 207747426301, 0, 1732245683087, 218637117295, 0, -1360886402243, -942994966124, 0, 91790002710, 1633507967823, 0, -1109570792342, -2027448316277, 0, -954581461902, 890704472139, 0, -611038924163, -288366747035, 0, 936128583434, -406211867353, 0, -1532675583639, 857756283685, 0, 1038174381504, 1087536719577, 0, -295249200223, -253507905739, 0, -641684007801, -205591288497, 0, -7439648896, 651718079652, 0, 1157607191503, -463304679084, 0, -1914167740044, -53333256110, 0, -88256187219, 396066656208, 0, -3584423595804, -1851639491360, 0, -1300684454413, -906217758584, 0, -2289922075419, 1719230132926, 0, 400382167466, -1817044317581, 0, -350170541826, 33582057529, 0, 735069165066, 2144643928830, 0, 24144873931, -1033562372906, 0, 266861515677, 754260973705, 0, 634430879153, -855413819248, 0, -1548756799965, 1373940870035, 0, -1450247121976, -261748950852, 0, -244816830250, 677926354531, 0, -2735960324826, -296301828893, 0, 1197189766817, -709149051089, 0, -2703811939223, 1553595394681, 0, -1335164181032, 928449201880, 0, -2797991830209, -2244849660344, 0, -433636644251, 324507429529, 0, -88273148087, 1067376121, 0, -1406718951152, 2331326980908, 0, 429179034059, 1084609928671, 0, 470998809899, -3761587271819, 0, -2121946865447, 545562056442, 0, 348686806842, 224740866230, 0, -908460361183, -2689089925446, 0, 905065681348, 450189099, 0, -2746615076365, 708203941853, 0, 844151181654, -532136688867, 0, 854345685805, -153729343816, 0, -79936765682, 3197199402962, 0, -1748031453544, 153553698319, 0, -323355243035, -2488935321102, 0, -3308153698813, -1080665513444, 0, 538880462388, 302723015735, 0, -2567524085123, 317260059682, 0, 1613043842763, 70102424828, 0, -76142332686, -2176332787741, 0, 901668969052, 1133065398993, 0, -2032244402815, 2375410888403, 0, -1439245488724, 3237177198624, 0, -1594586133892, -940162839029, 0, 579297301946, 264143396791, 0, -2914834491271, -1936817168448, 0, 600297790625, 1248570336455, 0, 286505411929, 1298552369877, 0, 562458755139, -2019165320735, 0, -1280865174815, -1627978265921, 0, -1991313560848, 172139223073, 0, -660868963232, -543969476456, 0, -1389874693994, -962034580616, 0, 866810173877, 887770669180, 0, 819787899676, -905968522986, 0, -893014896523, 430589643038, 0, 679730336387, 2848017089462, 0, -2646423755450, -232832279706, 0, -16195982561, 973140094065, 0, 754509542035, -909462369017, 0, -240140898613, -132370610707, 0, -3016047417025, -174150241486, 0, -549373972531, 1525564404755, 0, 1454206471289, -369280612078, 0, 197745353407, 18153857979, 0, -2146933667444, 1479906488331, 0, -329165792620, -3525450981329, 0, -1719863442347, -151132701970, 0, -2007376631200, 1810750279978, 0, -3012519020076, -927532834965, 0, 1889671867544, -724049183755, 0, 1855267087138, 2884875053408, 0, 1177858735995, -1500313139521, 0, -2851623014795, 1434716227152, 0, -1455075974522, 972528381173, 0, -1591954550575, 356191286815, 0, 503662072337, 1919161450330, 0, -921720627941, 1279223552210, 0, -987650956517, -4862790287245, 0, -1801423623749, -1743398949560, 0, 1099208561048, 2006552623688, 0, 1101940954547, -711384976247, 0, -1193229146662, 4118843983612, 0, -2483680820886, 21848944071, 0, -1137749878288, -879265247765, 0, 1167991433539, 2754550553413, 0, 1400082980668, 1068572593547, 0, 539888969627, 1904512294080, 0, 1162166285097, 3099398702085, 0, -3353760948027, 1743007304833, 0, -2119966845144, 1017602018473, 0, 367994245794, 1701529116629, 0, 204459186118, 2061043627837, 0, 3705491028031, -425637075769, 0, -1935082019287, -4859352936170, 0, 617568273408, 3238292738546, 0, 2667815866796, -603659253956, 0, -234601215126, 61196986009, 0, 2260233938951, -16028360416, 0, -1917972823088, -553608411825, 0, -762984632914, 1061673325758, 0, -2669947478856, 1568636438903, 0, -468805909326, 1935532631382, 0, 1381604064379, 1529454329083, 0, 1475461998562, 946447134033, 0, -1260204522252, 882204478772, 0, 3513469244051, -3179838546505, 0, 1959540649126, 1990273584927, 0, 310671588983, -2363468358764, 0, 414290590589, -1653285870299, 0, -765021092949, -102408003009, 0, 1257672632885, -1984326752288, 0, 2096889627562, 2751575363956, 0, 5610533310416, 2501558100989, 0, 1301239952913, -2332813956834, 0, 521174279898, -1226305721282, 0, 2169617070058, -2068495535421, 0, 67585094425, 2050544176944, 0, 2587727444680, -594334932087, 0, -1906169656267, 2534842582739, 0, -5280482423, -2487014844921, 0, 2612113449925, 789936494979, 0, -2569612033248, 1619189329299, 0, 3564193983515, 827237757875, 0, 583200769519, -491157412142, 0, 1789040990816, 632213485965, 0, 2642212749071, -3684840147835, 0, 1251061310578, 2338673520540, 0, 5879283203106, 827364728951, 0, 1666181948945, -1025661878682, 0, 484523207635, 441138574307, 0, 3816311233787, 4104012867249, 0, 1442012111060, -3407334707700, 0, 1198322218974, -346967363893, 0, -3119908640082, -538993713287, 0, 533572466478, 1776856985286, 0, 4458987769514, -2009757825730, 0, 3847639455751, 981922000459, 0, 695577348561, -3092615365377, 0, 192972176514, -2709860626142, 0, 2802610030626, 2839131397833, 0, 3474688037506, 1629434681615, 0, 2565732544880, -1950863463139, 0, 53594069186, 2365192080503, 0, 2094244762586, -5113442692939, 0, -403864708886, 53585316194, 0, 509570977583, -149122938566, 0, 1876161570147, 897608784030, 0, 4269872215208, 222256486605, 0, 316127341527, 308332822486, 0, -1695316157534, -4844270345529, 0, 5043382185743, 2943689344229, 0, 33886053052, 2649795957626, 0, 1883441985612, -4196024279818, 0, -1449919141903, -3297748766555, 0, 3414728847613, 2326600573002, 0, 3846355050402, 41701795192, 0, 4161122705818, 570358366173, 0, 3343188800488, 4629396630980, 0, -2784699320962, 894090808668, 0, 952804079979, 251030489099, 0, 1017904321850, 7686772821183, 0, 2317057941579, -3426330831093, 0, 4782621224643, -69339406513, 0, -1563276156351, -1638507295272, 0, 5581339354955, -1638870309039, 0, 173714466433, -3821898574659, 0, -980403854829, 2405908424672, 0, 3971739440803, -1201744265611, 0, -2806074402105, -313263359560, 0, -453845694456, -3903836746077, 0, 5707809148806, -149436904061, 0, 2402107906797, 1405898483186, 0, 4048861294040, 4776330450661, 0, -1109671361739, -4910743968986, 0, 651518536138, 2337684193785, 0, 135360575183, 1633521210364, 0, 5222949288666, 942719921948, 0, -5685477041708, 177744581369, 0, 80178490814, -977560029123, 0, 1388198827079, -4843117521169, 0, 2215703992638, 325513910309, 0, 165077713876, 4278434814591, 0, 1427713897383, 598820520057, 0, 6698084718327, -3442802840229, 0, 2723041463783, 3158545050782, 0, 893231746855, -7916153979532, 0, 4788704965453, 5495416636744, 0, 965305156933, -1045269553046, 0, 432067696832, -2934874494014, 0, -2303048649313, -4220865981209, 0, 3643702025534, 477720012154, 0, 2581219549781, -2130930110149, 0, 6104888407425, -1165466553638, 0, -957312591163, 206510177469, 0, 788747877615, -563659274072, 0, 4373697746389, -3316738854222, 0, 5971852413061, -1534805140826, 0, -1305351836405, -2187394255985, 0, -250066882710, -90997696562, 0, 6974335705217, 1552157681714, 0, -3291304136942, -908632465694, 0, -2113196625039, -404466079175, 0, 2249104526132, 4106037333705, 0, 493408308770, -7164552758683, 0, 817495764537, -776948749059, 0, 3652219580060, 4601459961907, 0, 3464277871849, 2886619608762, 0, 1258485802445, 4813779705626, 0, -4448954853558, -40105342661, 0, -1930971424972, -5050740016541, 0, 2512599139334, -419650320968, 0, -1703987314224, 4529605585330, 0, -4276415593883, -75405884389, 0, 554316534649, -4782418398841, 0, -2791571185292, 294022219432, 0, 5097172106830, -7917186855545, 0, 236793567893, 6357780716216, 0, -569662745341, 9132840990427, 0, -7195432792181, -1592512497767, 0, -525247412148, 2347337841891, 0, 4243085620957, -2001974500695, 0, -2022017495739, -648194242477, 0, 1235425511048, 3912336675138, 0, 5033750096458, -2576503233267, 0, 2732566381288, 1335238379526, 0, -4151696552217, 174320614940, 0, -2667110730446, 2199799031049, 0, 1527698257230, 256807836659, 0, -8697969528985, 4832675211253, 0, -213503484057, 519370958933, 0, 5433552439467, 586435616271, 0, 2557591016865, 6397929275542, 0, -6259476267501, -869200275223, 0, -6016511133461, -5496614386503, 0, 52354393164, 1651097353519, 0, 4385552497535, 9455634519889, 0, -4090663735501, -2906494467559, 0, -3348570070529, -56968299614, 0, -5324233266626, 1581393614608, 0, 1627722387020, 703533470043, 0, 1864757133674, 3280728869006, 0, -871953339080, 7382287831398, 0, 2220426668324, 2863933941036, 0, 1338736564329, -1587966389898, 0, 2537770110155, 2096998896571, 0, -772688462406, 1581595670208, 0, 1128689476335, 2260544471839, 0, 2933099807926, 4466862777808, 0, 1071356431936, -2875340938895, 0, -2549335602159, -2041213654567, 0, -564092339505, 653929677177, 0, 134870288277, 3088681881476, 0, 819789746626, -3221431556766, 0, -5507205978273, 5118444624438, 0, -973118580988, -2129080247496, 0, 1983389011792, -2336822975315, 0, 1208210183910, 1107494267604, 0, -2879114940155, -3080270942688, 0, -3222192358277, -1707893425555, 0, -2643163080544, -133110275190, 0, -4185180582298, -933897489020, 0, -4150117545183, 7876768389588, 0, 1556110618346, 4320436482017, 0, 476314728035, 957100401667, 0, -7071896042152, 8296204575644, 0, -3561751222414, -1254477260147, 0, 1395646348740, 4843177750489, 0, -506497182461, -602376517215, 0, -12035849686695, -188269915107, 0, 591863842144, -13269975067919, 0, -5878679985874, 928707793462, 0, 2565516478860, 8525339385528, 0, -2590999681409, -550791288301, 0, -5272245630842, -179319074827, 0, -445324445677, 5027813040639, 0, 971913734557, 2842428975026, 0, 418345058885, 6125840820846, 0, -6628916591206, 10190012128305, 0, -5447461712947, -1449912115172, 0, 5920065037857, 660222731612, 0, 684880442211, 748495339251, 0, 119174528009, -2554615728459, 0, -205468694485, -5228145623252, 0, 3069992259501, 4463687712171, 0, -7460609761723, -2296432773773, 0, 3582544711314, -1565799670025, 0, 349840479201, 6184988731628, 0, 2631785537532, -6492476322159, 0, -3890745957222, 1460485156319, 0, -5263037112512, -4678248857988, 0, 2203111177557, 6607512477323, 0, -1170692054722, 44265433399, 0, -4980234242953, 1182769145216, 0, -323281538667, -7067354065671, 0, -1511639823545, 8912984912455, 0, -2146858152049, -1536395655039, 0, -6218511173037, -5321441290474, 0, -1295356781928, 707942450853, 0, -12419407554276, 5625054903641, 0, 2607115126988, 1308477423447, 0, -3928951923015, -1272191725202, 0, 1554286615632, 8904290358455, 0, 754899427445, -2850785717844, 0, -1020729105214, -1462501105258, 0, 1687051441227, 7419239040224, 0, -2243094918494, 3753241838040, 0, -2017460846949, 2446053094385, 0, -497089340296, 6984153934256, 0, -5926260949658, -11923066029576, 0, -6664527284563, -1882919004496, 0, -6350695175957, 1044236287428, 0, 6351939708042, -7392545049725, 0, -2398919259803, 7230462129563, 0, 3617522126557, -3950892720847, 0, -6550655486294, -4724768708203, 0, 5454292734472, 194515453120, 0, 7361723199255, 2894022198615, 0, 310575017437, -4059120629658, 0, -5671361999279, -6780143688818, 0, 975787155516, 2557647928803, 0, 4250502706737, -2134804027252, 0, -3457843055558, 703202013347, 0, 2537382173075, 2494832345550, 0, 3578136999982, 334253193990, 0, -6335063322941, -8337203388743, 0, -4806887925288, 7694636582301, 0, 5592248385739, 1313509601432, 0, 2035061601301, 920207006398, 0, 11761284950, 429000965836, 0, -3769169220174, -6889072637834, 0, -4869386027296, 6219894654370, 0, 3983133086165, -2177781935082, 0, -2333107511645, -388894378555, 0, -2163122446115, 1107567846132, 0, -1584267191648, 1565206586518, 0, 7567328879710, -4017876738520, 0, -41758507755, 2856363015901, 0, -897998594333, 3087806077127, 0, -9946871635183, -10519371964489, 0, 11503048051581, 4900444547082, 0, -4171586615927, -1685199714144, 0, -236710411680, -12201360417108, 0, 2998995066071, 1414916546831, 0, -3146686245059, -12602309856601, 0, 982444789979, -3697264389925, 0, -3133560686692, 2161733482237, 0, -335536053953, -714133463278, 0, 3761300241550, -2580698379434, 0, -2630174549061, -6637233643714, 0, -4233605517886, 6772257685759, 0, -6724323477541, -16282193133704, 0, 6388247158323, 4355008302813, 0, 62133925007, -5641096379765, 0, -3942811980802, -4623721961194, 0, -6185496953745, 3819888620822, 0, 1334925324332, -7117885230017, 0, 6724457688099, -5180054072997, 0, -12918032666725, 10308581966654, 0, 3206445586227, -1174453793945, 0, 602146458733, -7077776446900, 0, 11487996070909, 2664238472872, 0, 1525308706347, 4916093329933, 0, 2740025001964, -3383604676366, 0, 485351372317, 6281590687399, 0, -9223574542150, 2042250566794, 0, -350654088189, -4446310375493, 0, -196203791066, 275621195369, 0, 13283020927814, -17753239592457, 0, -829486157595, -11277646474876, 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.a", "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, "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], [1, 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], [61, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, -1, 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], [-148, 5, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0], [-67, 42, 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], [-204, -41, -3, 1, 0, 0, 0, -1, 0, 3, -1, 0, 0, -1, 1, 0], [-73, 37, -3, 0, 3, 0, 1, -1, -1, -1, 0, 0, -2, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-527, 42, -15, 3, -2, 2, 0, 0, -2, 0, 2, -1, -3, 1, 0, -1], [852, -67, 10, -7, 30, 3, -5, -4, 2, -1, -4, -3, 6, -6, -3, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [218, -19, 3, -2, -19, -1, -1, -2, 3, 3, 2, -3, 3, 4, -4, -1], [2857, -110, 44, -1, 9, 1, -2, 3, 2, 2, 0, 4, -3, 7, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2481, -118, -109, 2, -14, -6, 4, 5, -2, 1, -4, 7, 2, 6, 3, 8], [-8074, -175, 89, 7, -64, -16, 25, 9, -8, -18, 10, -2, -6, 17, 3, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6881, -147, -48, -22, -15, 0, 3, 16, 4, -7, -9, 1, 12, -22, -5, -7], [90, 277, 70, 8, -6, -9, -8, 24, -5, 4, 23, 4, 12, 0, -15, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [17915, -124, -41, -51, -6, 1, -32, 21, 19, 23, 15, 21, -1, -1, -3, 5], [8835, -2022, 87, 6, 48, 11, -16, 29, 51, 71, 14, 44, -9, -21, -12, -10], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6175, 2451, -155, -4, -96, -21, 32, 6, 9, -108, 37, 28, 13, -10, -39, 28], [-8188, -2323, -91, -44, 17, 21, -7, 18, -29, -19, -38, -6, 10, -14, -19, 20], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-10334, 3825, -214, -4, -28, -53, 42, 2, -6, -6, -14, -29, 22, 14, 10, -10], [4541, -6197, -106, 6, 35, -58, 10, -19, -16, 40, -6, 20, 16, 20, 2, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-24213, 7668, -227, 40, 117, 58, -41, 26, -53, 49, 25, -4, -45, 142, -5, -9], [9846, -12971, 367, -41, 286, 14, 8, -35, 76, 41, 30, -73, 71, 31, -26, -47], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-20829, 5539, -21, -14, 397, 68, 9, -9, 15, 146, -2, -65, -96, 72, -7, -30], [-14758, -14974, 218, -221, -200, 63, -7, -77, -84, 99, -24, -134, 12, 184, 62, 29], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-14374, 3317, -700, -42, 970, 32, -59, -25, -20, 138, -74, -154, 78, -3, 55, -42], [-38117, -8031, 186, -118, -166, -123, 9, -84, -38, -379, -123, -54, -22, -96, -29, -52], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-93992, 11917, -807, -6, -194, -13, 67, -173, -70, 30, -73, 47, 180, -142, -72, 10], [-14557, -4839, -1604, -120, 329, 156, -38, -28, -20, 44, -60, -41, -92, -174, 85, 53], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [51875, 6443, 469, 139, 1062, -65, -212, -3, 218, 290, 77, 98, -46, -90, -88, -3], [105509, -20309, -2207, 149, 1235, 199, -42, -71, 215, 254, 223, 222, -1, 43, -36, -133], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [118775, -980, 731, 11, -73, 156, 81, -187, 94, 630, 145, 20, 5, -161, 47, 85], [-23630, 9196, -4419, 107, 1342, -45, -191, 255, -299, -205, -24, 209, -251, -88, -72, -57], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-317278, 15682, -1827, -88, 303, -115, -56, 168, -445, -343, -82, 40, -387, 123, 84, -32], [-30712, -18819, -2750, 440, 1836, 50, 139, 65, 252, 207, 145, 182, -2, -30, -132, 118], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-294432, 14476, 257, 315, -574, -53, 212, -51, 83, 187, -93, 73, -11, -351, -19, -315], [364649, -9102, -2139, -202, 1762, 62, -292, -277, -16, 232, -242, -201, 232, -782, 115, -11], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-430877, -17438, -3686, -378, 284, 589, -6, -60, 280, 171, 216, 264, -288, 133, 373, 295], [-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], [-386219, 9867, 56, -500, -667, -512, -202, 100, -67, -221, -291, -372, 440, -848, 180, -198], [737550, -37632, 3802, 220, -901, -485, 509, -237, -266, 206, -85, -348, -90, 269, 547, 139], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1191377, -3508, -5760, 373, -138, -266, 242, 432, -222, -266, 108, 202, -182, 192, 504, 318], [346608, -39465, -1883, -551, 2002, -303, 195, -84, -62, 432, -729, -842, 733, -479, 750, -131], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1018619, -34597, 118, -655, -766, 721, -163, -47, 207, 318, -298, -371, -43, 577, -47, 137], [1093752, -30501, 5203, 587, -934, 710, -149, 433, 466, 1883, 991, 577, -482, 1796, -145, 51], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2472995, 56644, -13976, 1606, 690, -970, 885, -230, -1189, -2179, -167, -125, -177, 650, -48, 92], [680947, -12116, -5457, 1339, 4414, -1343, 1399, -281, -753, -1766, -226, -226, -753, -585, -124, 167], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1328867, 25474, -6451, 557, 1803, 158, -712, 181, 429, 257, -135, 358, 271, 119, -739, -565], [1046161, -2540, 1917, 2188, -2667, -235, 832, 1748, -440, 31, 1144, 1455, -1464, 1389, 198, 24], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2558134, 7170, -12403, 2258, -1677, 167, 1226, 160, -331, 540, 257, 683, -555, 1520, 686, 29], [216064, -9652, -6385, 1350, 1142, 92, 71, -633, -511, -856, 386, 995, -364, 1644, -379, 670], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-209482, -66750, 3869, -1154, -2484, -1050, -303, -119, 952, -163, -487, -491, 1176, 188, -763, 904], [1727817, -23662, 2617, -383, -1623, 213, -802, 309, 557, -1649, 368, 1185, -249, 841, -737, 79], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1550026, -41754, -13695, -887, 5713, -209, -1139, -459, 2042, -19, -454, -123, 2270, -3872, -359, -388], [108681, 30161, -2422, -3368, 3210, 41, -1807, 234, -854, -613, -2327, -2878, 2292, -2366, 341, -502], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1426791, -57033, 6025, 704, -8550, -1054, 1779, -484, -269, -1232, 440, -214, 88, 1452, -438, 582], [2315364, -174324, 14369, -2184, -7287, 764, 828, -1842, 1302, -1728, 12, -927, 1102, -522, 855, 1269], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1688029, -140269, -5813, 39, -1629, 106, 598, -632, -870, -2556, 826, 1029, -1650, 26, 241, 855], [-642950, -31348, 1116, -1367, 1029, 1090, -830, 424, 3038, -239, -924, -501, 3135, -2365, -1418, -785], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [106518, -172430, -882, -818, 7029, 967, -3731, 988, 1551, 3065, -360, 769, 308, 54, 714, -32], [1216284, 115470, 12313, 1304, -6549, -2107, -84, 36, 283, -5428, -209, 97, -733, 410, -2500, -1893], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3686652, -65779, -23447, -3608, 4694, 2020, -896, 536, -2393, -5140, 516, -683, -1857, 2872, -1866, -938], [1789684, 105868, 422, -2008, 3584, 4053, -6239, -501, 2186, 5845, 459, 2035, 60, -1960, -2648, 320], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1504208, -198778, -18212, 1005, 11283, 438, 264, -1150, -1885, -438, 427, -1835, 2793, -2651, -206, -1015], [-221055, 237718, -11120, 3418, -16786, -2408, 3387, 1335, -2639, -4935, -725, 614, -343, -2032, 31, 487], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-237786, -430070, 14919, -1405, 9934, 3883, -727, 1939, 4985, 2101, 3472, 1257, -2627, 498, -1378, -1145]]}