Query:
/api/mf_newforms/?_offset=0
{'Nk2': 15360, 'analytic_conductor': 74.97240611618922, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, 1]], 'atkin_lehner_string': '+-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [240, 1, [31, 181, 161, 97], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 424, 'field_disc_factorization': [[2, 3], [53, 1]], 'field_poly': [-106, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [-1159920, -824, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81064793426886896, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 16, 'hecke_ring_index_factorization': [[2, 4]], 'hecke_ring_index_proved': True, 'id': 35138, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '240.8.a.s', 'level': 240, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '120.8.a.c', 'nf_label': '2.2.424.1', 'prim_orbit_index': 1, 'qexp_display': 'q+3^{3}q^{3}-5^{3}q^{5}+(412+7\\beta )q^{7}+3^{6}q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '7.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '240.8.a', 'trace_display': [0, 54, -250, 824], 'trace_hash': 1989639936241603527, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '1.930', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '9.119', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '60.417', 'prec': 17}], 'trace_zratio': 0, 'traces': [2, 0, 54, 0, -250, 0, 824, 0, 1458, 0, 3472, 0, -12876, 0, -6750, 0, -32980, 0, -2856, 0, 22248, 0, -16688, 0, 31250, 0, 39366, 0, 113284, 0, -44752, 0, 93744, 0, -103000, 0, -268844, 0, -347652, 0, 480596, 0, -1008440, 0, -182250, 0, -2084976, 0, 1351730, 0, -890460, 0, -582172, 0, -434000, 0, -77112, 0, -3012624, 0, 610076, 0, 600696, 0, 1609500, 0, -2051832, 0, -450576, 0, -8364224, 0, 3014884, 0, 843750, 0, -1608768, 0, 3522064, 0, 1062882, 0, -2436216, 0, 4122500, 0, 3058668, 0, -4965436, 0, -13282896, 0, -1208304, 0, 357000, 0, -5168060, 0, 2531088, 0, 8606036, 0, -8602984, 0, -2781000, 0, 1791800, 0, -31873636, 0, -7258788, 0, -2264772, 0, 2086000, 0, -9386604, 0, -56516912, 0, -29473542, 0, 12976092, 0, -3906250, 0, 23093352, 0, -27227880, 0, -26378256, 0, -133763168, 0, -4920750, 0, -51338356, 0, 41092088, 0, -56294352, 0, -13235040, 0, -14160500, 0, 36496710, 0, -51102748, 0, -32199472, 0, -24042420, 0, 5594000, 0, 29574964, 0, -15718644, 0, 99877568, 0, 93912360, 0, -11718000, 0, -139949136, 0, -18667394, 0, -2082024, 0, -1732492, 0, 12875000, 0, -81340848, 0, -134303584, 0, 92167276, 0, 16472052, 0, 33605500, 0, -8191392, 0, 16218792, 0, -101580592, 0, -8292140, 0, 43456500, 0, 362042788, 0, -119632848, 0, -55399464, 0, -120484752, 0, -60074500, 0, -12165552, 0, 146569408, 0, 204887304, 0, -225834048, 0, 126055000, 0, 361846080, 0, 81401868, 0, 341112696, 0, 123785608, 0, 22781250, 0, -257877416, 0, 91771004, 0, -43436736, 0, -41048676, 0, 260622000, 0, 95095728, 0, -424853040, 0, 561753156, 0, 28697814, 0, -168966250, 0, 416146416, 0, -65777832, 0, -498097536, 0, -150973824, 0, 111307500, 0, 537876988, 0, 416163120, 0, 82584036, 0, 584919504, 0, 72771500, 0, -134066772, 0, -17497596, 0, 156937120, 0, -358638192, 0, 54250000, 0, 186840788, 0, -32624208, 0, 432338820, 0, 999738552, 0, 9639000, 0, 256510768, 0, 416162022, 0, -139537620, 0, -1185364380, 0, 376578000, 0, 68339376, 0, -212821728, 0, 517566944, 0, 232362972, 0, -76259500, 0, -307666344, 0, -232280568, 0, 168235520, 0, 61144292, 0, -75087000, 0, -1239233868, 0, 387698464, 0, 48378600, 0, 2187420304, 0, -201187500, 0, -860588172, 0, -667918400, 0, -348096888, 0, -195987276, 0, 256479000, 0, -5275980, 0, -61148844, 0, -512299648, 0, 2069599600, 0, 56322000, 0, -755738808, 0, -55729572, 0, -253438308, 0, -1137175444, 0, 1045528000, 0, -1525956624, 0, 917610512, 0, 4826718762, 0, -795785634, 0, -376860500, 0, -12711032, 0, 350354484, 0, -609881360, 0, -413128380, 0, -105468750, 0, -227849112, 0, 271608760, 0, 623520504, 0, -429958480, 0, 201096000, 0, -735152760, 0, -2347365468, 0, -1448113696, 0, -712212912, 0, -440258000, 0, -112289852, 0, -3611605536, 0, 3763663348, 0, -852738336, 0, -132860250, 0, -1068915296, 0, 2386546644, 0, -1386135612, 0, -3347388864, 0, 304527000, 0, 1109486376, 0, -2713137328, 0, 1326696764, 0, -1519947504, 0, -515312500, 0, -5692626672, 0, -357346080, 0, 1129120160, 0, 1326207604, 0, -382333500, 0, -5298570304, 0, 1622886640, 0, 985411170, 0, 89764840, 0, 620679500, 0, -1379774196, 0, -60527372, 0, 767451552, 0, -869385744, 0, 1660362000, 0, 1476278676, 0, -649145340, 0, -1940656428, 0, -3708447048, 0, 151038000, 0, -5145461176, 0, -3310171936, 0, 798524028, 0, -2816988096, 0, -44625000, 0, -424403388, 0, -2512056400, 0, 150037128, 0, 2696694336, 0, 646007500, 0, -1529001880, 0, 2535633720, 0, 5108798240, 0, 830350680, 0, -316386000, 0, -5992936704, 0, 1565504280, 0, -3778626672, 0, -3912351200, 0, -1075754500, 0, -504019638, 0, -40009340, 0, 7119247088, 0, -56214648, 0, 1075373000, 0, -3837908864, 0, -46777284, 0, 1479050756, 0, 2295645400, 0, 347625000, 0, -5400908256, 0, -2385034830, 0, -2196202896, 0, -3269592696, 0, -223975000, 0, -3626196768, 0, -157723888, 0, 4615706780, 0, 2488516452, 0, 3984204500, 0, 809576888, 0, 444745404, 0, 8172238768, 0, 14084797888, 0, 907348500, 0, -4908124300, 0, 3693204048, 0, -221167584, 0, 5293060856, 0, 283096500, 0, 437907384, 0, 11692098308, 0, 15064732136, 0, -2742675984, 0, -260750000, 0, -1514267004, 0, -223887780, 0, 400404192, 0, -587763168, 0, 1173325500, 0, 5241381880, 0, -18895963072, 0, 9775155276, 0, 9494926364, 0, 7064614000, 0, -3230086896, 0, 3015691536, 0, 5928057076, 0, -1495785528, 0, 3684192750, 0, 4981432664, 0, -3253088304, 0, 12849800352, 0, 4197424596, 0, -1622011500, 0, 9337549564, 0, 5126084312, 0, -328469904, 0, -20060047504, 0, 488281250, 0, 3957374016, 0, -4072867272, 0, 8036707488, 0, 5531957208, 0, -2886669000, 0, -15276296556, 0, -6097519296, 0, 9255235716, 0, -19587221464, 0, 3403485000, 0, -11585513088, 0, -2822843520, 0, 9769844160, 0, 10390747700, 0, 3297282000, 0, 2197850436, 0, -17332119056, 0, 3820818028, 0, 9210042792, 0, 16720396000, 0, -7655431776, 0, 3342211416, 0, 7852209632, 0, 8557583028, 0, 615093750, 0, 1650820196, 0, -2639831696, 0, -6962690232, 0, 3322331096, 0, 6417294500, 0, 2477817108, 0, 4858102824, 0, -16255435688, 0, -1172791872, 0, -5136511000, 0, -8869469384, 0, -1108314252, 0, 17534663492, 0, -25887157904, 0, 7036794000, 0, 7349285680, 0, -22582366116, 0, 2567584656, 0, 15639093120, 0, 1654380000, 0, -11471032080, 0, -13992544320, 0, 6159458464, 0, 15167335212, 0, 1770062500, 0, 148076904, 0, 774840978, 0, 1567175984, 0, 8944561476, 0, -4562088750, 0, -745046464, 0, 1249222776, 0, 11235953232, 0, -15231613952, 0, 6387843500, 0, -1776001464, 0, 23844742688, 0, 21222708304, 0, -13448633472, 0, 4024934000, 0, -11714851628, 0, -4076293248, 0, 3594046404, 0, -31662135536, 0, 3005302500, 0, 25713836640, 0, -27461020284, 0, 14522678676, 0, -14705743612, 0, -699250000, 0, 11236404240, 0, -3603194000, 0, -11609576960, 0, 2229768972, 0, -3696870500, 0, -24589811512, 0, 15792826608, 0, 35867074704, 0, 13904264664, 0, 1964830500, 0, -10489783404, 0, 31296488032, 0, -3619802844, 0, -1482864096, 0, -12484696000, 0, -472435092, 0, -21974495052, 0, -23050741544, 0, 4237302240, 0, -11739045000, 0, -45078866848, 0, -9683231184, 0, -24090272940, 0, -22463873432, 0, 1464750000, 0, -6701945336, 0, -35667803844, 0, 5044701276, 0, -57663648948, 0, 17493642000, 0, -880853616, 0, 9608270704, 0, -17576061090, 0, 11673148140, 0, 2333424250, 0, -22695312808, 0, 26992940904, 0, 23395583520, 0, 1484503092, 0, 260253000, 0, -27149599524, 0, -14167879048, 0, 6925790736, 0, 7069774592, 0, 216561500, 0, 11236374594, 0, -8324219776, 0, 20604145872, 0, -3767515740, 0, -1609375000, 0, 20370336116, 0, -32004838260, 0, 13389603540, 0, -41484692312, 0, 10167606000, 0, -17037672144, 0, -60374578336, 0, 1845163152, 0, -6549941056, 0, 16787948000, 0, -5746186656, 0, -26438402464, 0, 15573301144, 0, 13974307488, 0, -11520909500, 0, -24813255800, 0, 6273800244, 0, 30655599232, 0, -5833985472, 0, -2059006500, 0, 10667396672, 0, 27293352480, 0, -8306991288, 0, 61489503360, 0, -4200687500, 0, -6271575336, 0, -9018429324, 0, -111181543144, 0, 4542359040, 0, 1023924000, 0, 27390441812, 0, 1650895884, 0, 9320136756, 0, -1661526496, 0, -2027349000, 0, 2198833528, 0, -37041167832, 0, -33459314436, 0, -69728500916, 0, 12697574000, 0, 10467858528, 0, -52860849840, 0, 356740802, 0, 1306222200, 0, 1036517500, 0, -63092765192, 0, 59060348208, 0, 62560416928, 0, 94614609696, 0, -5432062500, 0, -43850625588, 0, 11967760672, 0, -23235880644, 0, 50778497536, 0, -45255348500, 0, -18033796800, 0, 45869484352, 0, -53950235808, 0, -9398615976, 0, 14954106000, 0, 32792029188, 0, -5291656452, 0, 263958912, 0, 83678058144, 0, 6924933000, 0, 19279805488, 0, 42538909764, 0, -142451460, 0, -12178655292, 0, 15060594000, 0, -1651018788, 0, 22660278480, 0, 94095598860, 0, -13832090496, 0, 7509312500, 0, -60576170592, 0, 55879189200, 0, -21533240176, 0, -34298479164, 0, 1520694000, 0, 85892634216, 0, 17381155696, 0, -20404947816, 0, 12337709808, 0, -18321176000, 0, -1504698444, 0, 100146996932, 0, -63457914376, 0, -6842834316, 0, -25610913000, 0, 21132225216, 0, -30703736988, 0, 72589680964, 0, -36322651064, 0, 28229256000, 0, -8388219616, 0, 16164804876, 0, -41200828848, 0, -48348978008, 0, -15756875000, 0, 24775483824, 0, 11471983056, 0, 25068007040, 0, 130321406574, 0, -45230760000, 0, 70152398904, 0, -21486212118, 0, -43361892528, 0, 99537465716, 0, -10175233500, 0, -29422017396, 0, 96844592048, 0, -343197864, 0, 26055383600, 0, -42639087000, 0, 9459571068, 0, 65242441636, 0, 10593108384, 0, -16466796720, 0, -15473201000, 0, 33899472756, 0, -11154466260, 0, 109310531904, 0, 31118630984, 0, -2847656250, 0, 76685656656, 0, -36564372204, 0, -6151926024, 0, -26024937792, 0, 32234677000, 0, 7333436520, 0, 73623900848, 0, 48672730208, 0, 16835053608, 0, -11471375500, 0, 81366192608, 0, -11608878960, 0, -97258071920, 0, 2893479188, 0, 5429592000, 0, 86010340584, 0, 295478570960, 0, -19849124520, 0, 67586154984, 0, 5131084500, 0, -63378867636, 0, -7493100736, 0, -71245160152, 0, -39099069792, 0, -32577750000, 0, -23296887872, 0, -19229748624, 0, -30991685036, 0, 95033555656, 0, -11886966000, 0, 24287162312, 0, 23544447912, 0, -3031826004, 0, -206464299508, 0, 53106630000, 0, -97513349472, 0, -34155263520, 0, -73594625244, 0, 101618910396, 0, -70219144500, 0, 179039915904, 0, -23023935072, 0, -75649090896, 0, -49457944044, 0, -3587226750, 0, 114081525980, 0, -9996277600, 0, -28860712992, 0, -106348114304, 0, 21120781250, 0, 64436759388, 0, -55336987852, 0, -12674212240, 0, -37425661524, 0, -52018302000, 0, 79827217316, 0, -90379499328, 0, -144588863080, 0, -45988970784, 0, 8222229000, 0, -115768552560, 0, -20108689756, 0, 29956132152, 0, -74339673728, 0, 62262192000, 0, -73254707856, 0, -44319656080, 0, 34803743208, 0, 35820812628, 0, 18871728000, 0, 19254287824, 0, -41038582608, 0, -2387570208, 0, 125818756960, 0, -13913437500, 0, 98844779156, 0, -88838984784, 0, -153700920144, 0, -80425842440, 0, -67234623500, 0, -9648344160, 0, 40812217380, 0, -66621729080, 0, 30486244320, 0, -52020390000, 0, 65171933076, 0, 35807605308, 0, 54856883524, 0, 144086790840, 0, -10323004500, 0, 104449996264, 0, -27782925696, 0, -143061398208, 0, -66816456312, 0, -73114938000, 0, 43817939280, 0, -227142115840, 0, -216718934252, 0, 26606101590, 0, -9096437500, 0, 133534116456, 0, 2423650680, 0, -106765854048, 0, 155990177472, 0, 16758346500, 0, 49464041152, 0, 26274347376, 0, -37253903292, 0, -262022971040, 0, 2187199500, 0, -1634239044, 0, 138924093184, 0, -26817688272, 0, 20721191904, 0, -19617140000, 0, -59411060352, 0, -23473415088, 0, -86908254476, 0, -130108689632, 0, 44829774000, 0, 160900205440, 0, -49318414930, 0, 39859524252, 0, 75625206612, 0, -6781250000, 0, -17526924180, 0, 117475355632, 0, 21219022396, 0, -52397723556, 0, -23355098500, 0, -297321410512, 0, -100128070296, 0, -80855171664, 0, -102414128832, 0, 4078026000, 0, 119963246912, 0, 174441932304, 0, -138927451752, 0, -243698733216, 0, -54042352500, 0, -89374642272, 0, 246236650948, 0, 17506609584, 0, 21560148756, 0, -124967319000, 0, 260793061080, 0, -76058678592, 0, -61173303580, 0, 124110158040, 0, -1204875000, 0, 38569233512, 0, -157619596580, 0, -11458891476, 0, 23527443276, 0, -32063846000, 0, -67825522800, 0, -205742071872, 0, -70404353152, 0, 4051002456, 0, -52020252750, 0, 265001324296, 0, 72810747072, 0, 175284501168, 0, 289288217524, 0, 17442202500, 0, 73979537792, 0, -314919155800, 0, -41283050760, 0, -165443537664, 0, 148170547500, 0, 68462110440, 0, -95819880168, 0, -176263068064, 0, 137937552480, 0, -47072250000, 0, 170465244384, 0, 22419468360, 0, -288653918268, 0, 29303789560, 0, -8542422000, 0, -132959883264, 0, 220405997220, 0, -161809291008, 0, -158372509756, 0, 26602716000, 0, 42268615560, 0, 229952522000, 0, -634910068032, 0, -102022920144, 0, -64695868000, 0, -52884017824, 0, -105633482400, 0, 182320738656, 0, 372682115288, 0, -29045371500, 0, -53010284856, 0, 283107626416, 0, -13608530226, 0, -350362169576, 0, 9532437500, 0, -1080252180, 0, -17446614592, 0, -253950752856, 0, 192219671376, 0, 38458293000, 0, -9716578104, 0, -1517795496, 0, -81824316608, 0, 230995898632, 0, 29035071000, 0, 548473267488, 0, -71642864900, 0, -103623539328, 0, -181386931028, 0, -21029440000, 0, -1262986668, 0, 291226580736, 0, -203037195552, 0, 39934370412, 0, -7643036500, 0, -101666284472, 0, 61982425800, 0, 202736997888, 0, 221407303908, 0, 9385875000, 0, -66526753440, 0, -210242204248, 0, -145824522912, 0, -134170946976, 0, 154904233500, 0, -64395940410, 0, -552915343968, 0, 320432570064, 0, -59297478192, 0, -48462308000, 0, -335004173372, 0, -88279002792, 0, 387011178756, 0, -424547950704, 0, -6047325000, 0, 323696710096, 0, 292324512276, 0, -97907312736, 0, -1270083308, 0, -273427538000, 0, -4258544976, 0, 220130942448, 0, -18100821876, 0, 124624083060, 0, 25148437500, 0, 535862713368, 0, 67189944204, 0, 301341504272, 0, -32447811072, 0, 107573521500, 0, -74001845948, 0, -126876704224, 0, 21858575976, 0, -39887108256, 0, 83489800000, 0, 12008125908, 0, 93463706584, 0, 60992117904, 0, 220650446736, 0, 43512111000, 0, -31583407644, 0, 380289542976, 0, -95210749312, 0, 304798227400, 0, 24498409500, 0, 144166388504, 0, -344216006884, 0, -132519356100, 0, -109152701760, 0, -32059875000, 0, 99716509296, 0, 210767990944, 0, -272735175402, 0, -5971524768, 0, 659497500, 0, 442757062000, 0, 142912643112, 0, 905231566512, 0, -56123548, 0, 7643605500, 0, -135031339268, 0, -61074836744, 0, 11823499368, 0, 105217497696, 0, 64037456000, 0, 315686654316, 0, -383801860652, 0, -38252102688, 0, 406747767672, 0, -258699950000, 0, -203314486472, 0, -74052251568, 0, 564291342644, 0, 8669370648, 0, -7040250000, 0, -45411813216, 0, 1036436745792, 0, -40885209108, 0, -164217230300, 0, 94467351000, 0, -6044970060, 0, 318130101664, 0, 81367225580, 0, 10810913184, 0, 6966196500, 0, -629172373096, 0, -15869605536, 0, -14785269488, 0, -365907420604, 0, 31679788500, 0, 84981083648, 0, -196329385232, 0, 141517310760, 0, -221799142192, 0, 142146930500, 0, -510191002944, 0, 408177398072, 0, 148481385984, 0, 263929192452, 0, -130691000000, 0, 50148368692, 0, 256363011828, 0, 425644677432, 0, 267534977080, 0, 190744578000, 0, 224183814120, 0, 7017483452, 0, -87212346192, 0, 151625185088, 0, -114701314000, 0, 81423671472, 0, 264739239312, 0, 445950776116, 0, 160057541052, 0, -603339845250, 0, -497604870864, 0, -40386209256, 0, 326766639408, 0, 252485472692, 0, 99473204250, 0, 477765014144, 0, -402552050992, 0, 134498681928, 0, -637290850464, 0, 47107562500, 0, -87833384208, 0, -233774377344, 0, -157603092624, 0, 346944609504, 0, 1588879000, 0, -300284206720, 0, 113330464092, 0, 348540317376, 0, 32836596912, 0, -43794310500, 0, -163316602688, 0, 292203625178, 0, 252113838228, 0, 824726588776, 0, 76235170000, 0, 138404276424, 0, -149806049680, 0, -436678339140, 0, -8868687408, 0, 51641047500, 0, -437662108568, 0, -541621282608, 0, -434744404240, 0, -600311844444, 0, 13183593750, 0, -219417735548, 0, -79969098256, 0, 106849098432, 0, 222110162544, 0, 28481139000, 0, -109967416344, 0, 435101744324, 0, -863639912288, 0, 216991102176, 0, -33951095000, 0, -828655390336, 0, 149362844616, 0, 454859662228, 0, 82632741536, 0, -77940063000, 0, -92802256312, 0, 76693382976, 0, -412460007012, 0, -469612523268, 0, 53744810000, 0, -164633020992, 0, -201925990544, 0, -556713647832, 0, 249891364332, 0, -25137000000, 0, -496811545184, 0, -528854979528, 0, 360377062096, 0, -634409407452, 0, 91894095000, 0, 228823365672, 0, -907287135952, 0, -312808853376, 0, 38711495696, 0, 293420683500, 0, -76216775040, 0, -372945633740, 0, 29218192528, 0, 263785792320, 0, 181014212000, 0, -471523062752, 0, 280550187900, 0, 4938617448, 0, 104104977696, 0, 89026614000, 0, -720006692752, 0, -211429196544, 0, 59341961772, 0, -236775436284, 0, 55032250000, 0, -467967214512, 0, -16718400528, 0, 377033812000, 0, 103162086756, 0, 14036231500, 0, -483188997384, 0, 248671155384, 0, 181395111008, 0, -572364488188, 0, 451450692000, 0, 448253387956, 0, -807160334080, 0, -206696657952, 0, -757379566584, 0, -470457918500, 0, 90239708232, 0, 373026313524, 0, 405524098568, 0, 212009660064, 0, 106592292000, 0, -179323673628, 0, 231054741756, 0, 1118332490816, 0, 1587262186024, 0, 16607531250, 0, 321486087480, 0, 248063911820, 0, 44572145292, 0, -1154583813216, 0, 133614412000, 0, -71275455792, 0, 178990778176, 0, -444382738872, 0, -187992636264, 0, -298318330500, 0, -681713386592, 0, 89702939592, 0, -268787891984, 0, -459774577052, 0, 173266951500, 0, 656361582716, 0, -313677001088, 0, 66901061916, 0, -1003213711456, 0, 418423608000, 0, 131168776248, 0, -860211042572, 0, 969378256336, 0, -438896763576, 0, -38065875000, 0, -306557059904, 0, -31665380544, 0, 843471268820, 0, 632851599832, 0, -138685797000, 0, -435412386816, 0, -158663117804, 0, -239475673368, 0, -708390221952, 0, 339142166000, 0, -29924484804, 0, -818041593440, 0, -280704187776, 0, 473435914284, 0, -165837095500, 0, 87259139976, 0, -698953263408, 0, 79737850096, 0, -980389751756, 0, 189993438000, 0, -198649590072, 0, -634550287344, 0, 198430713360, 0, 12349218208, 0, 64414062500, 0, -609723885132, 0, 130272786628, 0, 209689605784, 0, 69324785712, 0, 711578334000, 0, -406364156700, 0, 422255514240, 0, 997054233700, 0, 746620548664, 0, 44668260000, 0, -1831516778160, 0, -1588917092960, 0, -309717866160, 0, -656986124740, 0, -141140020000, 0, -377798696640, 0, 747399403760, 0, -62849960636, 0, 166305378528, 0, -165775950500, 0, 664719163424, 0, 409518050724, 0, 750494707680, 0, -148035350168, 0, 47791687500, 0, -652870033408, 0, -477640879512, 0, 3998076408, 0, -12363120288, 0, 662321288000, 0, 20920706406, 0, -146967886464, 0, -671808542992, 0, 42313751568, 0, -202860830000, 0, 619957021512, 0, 241503159852, 0, -177045451264, 0, 803039295336, 0, -123176396250, 0, 611292547120, 0, 1174047523810, 0, -20116254528, 0, -23408492828, 0, -11220605000, 0, 33729014952, 0, 233985941936, 0, 597780284076, 0, 303370737264, 0, -77584937500, 0, 87337168544, 0, -411253576704, 0, 22625712032, 0, -302602283136, 0, 172471774500, 0, -207145164908, 0, -605880835632, 0, -47952039528, 0, 4312578728, 0, 7565921500, 0, 643808052576, 0, 235959696072, 0, 448241988856, 0, 573013124208, 0, -95931444000, 0, -1259764416616, 0, -363113103744, 0, 3148871313344, 0, 772966383456, 0, 108673218000, 0, -61011769000, 0, 252589681004, 0, -316300993956, 0, -450035650932, 0, -207545250000, 0, -110059917696, 0, 163716326672, 0, 935271173620, 0, 97039252908, 0, -184534834500, 0, -1160952377880, 0, -854877659472, 0, -594622009312, 0, 173066660388, 0, 81143167500, 0, 449792136220, 0, 568191434104, 0, 694273589280, 0, -1251702733552, 0, 242582053500, 0, -741447547668, 0, -954943371820, 0, 522215107504, 0, 392112324252, 0, 463555881000, 0, 1425714110176, 0, -397055077524, 0, 257339588160, 0, 80878560800, 0, -18879750000, 0, 921666265152, 0, 1358450566152, 0, 303382914480, 0, 655699612532, 0, 643182647000, 0, -97286238000, 0, -303802093216, 0, 882757123228, 0, -313458577920, 0, 413771492000, 0, -303986718616, 0, 60203762244, 0, 889268929264, 0, -537217033224, 0, -99815503500, 0, 990802754116, 0, -158615891536, 0, -663924910824, 0, -1931661052080, 0, 352123512000, 0, 426406318416, 0, 461325083072, 0, -1448649099512, 0, 968411017008, 0, 5578125000, 0, 35961508308, 0, 375415145928, 0, 696088301668, 0, 415156074728, 0, 53050423500, 0, 517111257600, 0, -851538760788, 0, -283224151908, 0, -1952975946884, 0, 314007050000, 0, 845005176864, 0, -1748721698016, 0, 249552959490, 0, -97734676788, 0, -18754641000, 0, -226251443952, 0, -40037330592, 0, 547486747760, 0, 3451490512864, 0, -337086792000, 0, -1535731664420, 0, -770263653024, 0, -12755747484, 0, 57479407152, 0, -80750937500, 0, -593311366404, 0, -513492312096, 0, 125960398272, 0, -622370021688, 0, 191125235000, 0, 1303216929732, 0, 114407160480, 0, 112227231732, 0, 1679038968848, 0, -316954215000, 0, 679220716560, 0, 1727810471296, 0, -1217129404896, 0, 505219662400, 0, -638599780000, 0, -261447241968, 0, 1966903627312, 0, 912610995904, 0, -650437369380, 0, -103793835000, 0, 998355942408, 0, -606524582664, 0, 1721237076432, 0, -488470718860, 0, 39548250000, 0, -577147331564, 0, -212574551728, 0, -180952524072, 0, 380030116128, 0, 749117088000, 0, -963030703788, 0, -1036017295040, 0, 580318277152, 0, 136206934452, 0, -195688035000, 0, 62804632768, 0, -1556918521596, 0, 15832527000, 0, -120172028808, 0, 472328334000, 0, -477901452448, 0, 123588777096, 0, -23783047632, 0, -1979332367936, 0, 489043900000, 0, 259423309008, 0, 687723153632, 0, -255804199468, 0, -474553649430, 0, 134469312500, 0, 2367275162520, 0, 315174999780, 0, 2328601740896, 0, 303641351064, 0, 63002454750, 0, 780054247872, 0, 386025231128, 0, -612773445816, 0, -377199291568, 0, 5001167500, 0, 728809404408, 0, -120992949356, 0, 1198655317296, 0, 631680755040, 0, -889905886000, 0, -1153200460860, 0, 40081583484, 0, -2235772650072, 0, -434978854432, 0, 7026831000, 0, -24319287840, 0, 1314242968288, 0, -733039187148, 0, 255302670528, 0, -134421625000, 0, -382532734296, 0, 584832673056, 0, 851074440328, 0, 186996349872, 0, 479738608000, 0, 929572461792, 0, 190883913984, 0, -422084166912, 0, -137855107804, 0, 5847160500, 0, -698371511484, 0, 1496160854112, 0, 303382114038, 0, 1654253609744, 0, -184881344500, 0, -224753933952, 0, 183203304852, 0, 1838115992944, 0, 556311938544, 0, -286955675000, 0, 809310073300, 0, -101722924980, 0, -842891376908, 0, -2393099653392, 0, -43453125000, 0, 619690348672, 0, -812844021120, 0, 549999075132, 0, -1065248739444, 0, 675113532000, 0, -864130633020, 0, 530398855008, 0, -3931815163744, 0, 361519295580, 0, 298129353750, 0, -162765282248, 0, -1120086692424, 0, 733700893984, 0, 3305440796704, 0, 274525362000, 0, -980241118196, 0, 1642912651016, 0, -460017147888, 0, -162330404432, 0, 408699087000, 0, -1630113615072, 0, -1854340710280, 0, 288040973744, 0, 49819405104, 0, 27996875000, 0, -545904338668, 0, -176848408512, 0, -2384762378432, 0, 39067319112, 0, 453274596000, 0, -120993531968, 0, -158374398460, 0, -155147039712, 0, 2956744175652, 0, 19715486000, 0, -713836866528, 0, 877436956688, 0, 759241597032, 0, 420479130888, 0, -576963347500, 0, -1518030871256, 0, 377306302176, 0, 928143330704, 0, -193518374924, 0, -311064556500, 0, -266123447424, 0, -759046388768, 0, -669957906600, 0, -2244157309968, 0, -498025562500, 0, 169392606588, 0, 2553858128116, 0, -281051987672, 0, 827701179264, 0, -101197111000, 0, -1998779364224, 0, -157517607744, 0, -3196827087100, 0, -1577219488560, 0, -55593175500, 0, -547277103280, 0, 971120649164, 0, 288019710144, 0, 478210756316, 0, -1021529846000, 0, 736920516960, 0, -2464936569760, 0, -1196351343616, 0, -224288764776, 0, -1760599736000, 0, -2292007328056, 0, 1660216590720, 0, -1709734056592, 0, 2989279732608, 0, -113418562500, 0, -1425657871700, 0, 485960430448, 0, -169332534072, 0, -177668764784, 0, 613515537500, 0, -243497591748, 0, -1346226574284, 0, -23866867776, 0, -3001901664888, 0, -461650506000, 0, -604329312700, 0, 122643694080, 0, -936097348620, 0, -1769886744792, 0, 27645948000, 0, 1634180826288, 0, -2128473617010, 0, 739541928924, 0, -260634964600, 0, -661632607000, 0, 44574188868, 0, 416613204400, 0, -2621080598400, 0, 251643692412, 0, -35387062500, 0, 884458542304, 0, -44861215392, 0, -1591857083344, 0, 1429062575044, 0, -54738423000, 0, 1866252511876, 0, 1497939596576, 0, 59368505256, 0, -102593481352, 0, -1461512288500, 0, -1000111531464, 0, 882891550080, 0, 492127817944, 0, -903401489772, 0, -1883091517000, 0, 766034696804, 0, -1882669524732, 0, 1331146284484, 0, -2026734331600, 0, 342834498000, 0, -1063114184224, 0, -1669025479744, 0, 282632180256, 0, -1350441956396, 0, 32593750000, 0, -1427242945680, 0, -376275049536, 0, 169776027424, 0, 9632001654, 0, 189283375500, 0, -202031592648, 0, 35267999400, 0, -3771625847184, 0, 892501994112, 0, 27985972500, 0, -1263441028868, 0, -34821146160, 0, -1703504660184, 0, -2599006445488, 0, -50050524000, 0, 1594629401616, 0, 945134752244, 0, -2065937579904, 0, 1689131257056, 0, 73470396000, 0, 2213786213380, 0, 2554594461792, 0, -2998236651968, 0, 2029836017312, 0, -146665687500, 0, 584155346864, 0, 248379734952, 0, -1183966890876, 0, 2565785992384, 0, -655172735000, 0, 323129538144, 0, -3018634225984, 0, 1238238703608, 0, -627368777388, 0, 2361995384000, 0, 3676431332496, 0, 1371019433472, 0, 3000224349936, 0, -1960918449628, 0, -1221894409500, 0, -29193345420, 0, -292454880480, 0, -486912513600, 0, -1850863255416, 0, -1186865795500, 0, 1238476077504, 0, 4261608704404, 0, 136613489832, 0, -1456656366816, 0, -883076750000, 0, 796251089304, 0, -253762631352, 0, 1293372536064, 0, -4263124148752, 0, 403760862000, 0, -1097248885968, 0, -4485508843076, 0, 885384788076, 0, 853767122792, 0, -376961442000, 0, -142874724204, 0, 341813673040, 0], 'weight': 8, 'weight_parity': 1}