Formats: - HTML - YAML - JSON - 2026-10-23T22:41:15.599333
  • mf_newforms • Show schema
    {'Nk2': 12544, 'analytic_conductor': 58.893845406681855, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 8, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': -1, 'char_values': [256, 2, [255, 5], [1, 1]], 'cm_discs': [], 'conrey_index': 127, 'dim': 4, 'field_disc': 2304, 'field_disc_factorization': [[2, 8], [3, 2]], 'field_poly': [9, 0, 0, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [-1392, 24, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511005157982464, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 2048, 'hecke_ring_index_factorization': [[2, 11]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 4, -1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '256.7.d.d', 'level': 256, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2], 'level_radical': 2, 'minimal_twist': '32.7.c.b', 'nf_label': '4.0.2304.2', 'prim_orbit_index': 4, 'qexp_display': 'q+(-12+\\beta _{2})q^{3}+(-7\\beta _{1}-2\\beta _{3})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '6.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '256.7.d', 'trace_display': [0, -48, 0, 0], 'trace_hash': 1316681160782507730, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.012', 'prec': 7}, {'__RealLiteral__': 0, 'data': '3.646', 'prec': 14}, {'__RealLiteral__': 0, 'data': '1.352', 'prec': 14}, {'__RealLiteral__': 0, 'data': '69.219', 'prec': 17}, {'__RealLiteral__': 0, 'data': '45.879', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1850.233', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.507', 'prec': 10}, 'traces': [4, 0, -48, 0, 0, 0, 0, 0, 3804, 0, 2768, 0, 0, 0, 0, 0, -5304, 0, 20112, 0, 0, 0, 0, 0, -36588, 0, -158112, 0, 0, 0, 0, 0, 71232, 0, 65728, 0, 0, 0, 0, 0, 209848, 0, 116816, 0, 0, 0, 0, 0, 95556, 0, -771936, 0, 0, 0, 0, 0, 526656, 0, 894608, 0, 0, 0, 0, 0, 613264, 0, 987088, 0, 0, 0, 0, 0, -219528, 0, -249072, 0, 0, 0, 0, 0, 2257668, 0, 54416, 0, 0, 0, 0, 0, 3723000, 0, -2819776, 0, 0, 0, 0, 0, 2918344, 0, 125616, 0, 0, 0, 0, 0, 6657792, 0, 2924112, 0, 0, 0, 0, 0, -110456, 0, 6378560, 0, 0, 0, 0, 0, -3395172, 0, -847008, 0, 0, 0, 0, 0, 7894080, 0, -9366320, 0, 0, 0, 0, 0, 2076856, 0, -10307120, 0, 0, 0, 0, 0, 12381584, 0, -8421168, 0, 0, 0, 0, 0, 15009912, 0, 22899968, 0, 0, 0, 0, 0, -10060544, 0, -6741168, 0, 0, 0, 0, 0, -2055468, 0, 694512, 0, 0, 0, 0, 0, -22746816, 0, 2925840, 0, 0, 0, 0, 0, -19971600, 0, -17875296, 0, 0, 0, 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  • mf_hecke_cc • Show schema
    {'an_normalized': [[1.0, 0.0], [0.0, 0.0], [-1.8959939216492907, 0.0], [0.0, 0.0], [0.0, 1.1421387483049872], [0.0, 0.0], [0.0, 0.6344499365333478], [0.0, 0.0], [2.594792950931057, 0.0], [0.0, 0.0], [0.01933793385648051, 0.0], [0.0, 0.0], [0.0, 0.6327552491166969], [0.0, 0.0], [0.0, -2.165488124466385], [0.0, 0.0], [0.8149989172188471, 0.0], [0.0, 0.0], [0.018810397205663187, 0.0], [0.0, 0.0], [0.0, -1.2029132232580058], [0.0, 0.0], [0.0, -0.30387043869438557], [0.0, 0.0], [-0.3044809203796829, 0.0], [0.0, 0.0], [-3.023717741254419, 0.0], [0.0, 0.0], [0.0, -1.6758016345370006], [0.0, 0.0], [0.0, -1.5499522594768007], [0.0, 0.0], [-0.036664605049143074, 0.0], [0.0, 0.0], [-0.7246298563743765, 0.0], [0.0, 0.0], [0.0, 1.302185120761362], [0.0, 0.0], [0.0, -1.19970010621694], [0.0, 0.0], [0.6065179065801077, 0.0], [0.0, 0.0], [-0.3784980906498192, 0.0], [0.0, 0.0], [0.0, 2.963613573087001], [0.0, 0.0], [0.0, -0.7684786827824053], [0.0, 0.0], [0.5974732780328309, 0.0], [0.0, 0.0], [-1.5452329931976874, 0.0], [0.0, 0.0], [0.0, 0.09213758120468783], [0.0, 0.0], [0.0, 0.022086603569645282], [0.0, 0.0], [-0.03566439876574621, 0.0], [0.0, 0.0], [1.462038665853168, 0.0], [0.0, 0.0], [0.0, -1.072521902583118], [0.0, 0.0], [0.0, 1.6462662230353873], [0.0, 0.0], [-0.7226942882095545, 0.0], [0.0, 0.0], [1.3499281134941759, 0.0], [0.0, 0.0], [0.0, 0.5761365047334585], [0.0, 0.0], [0.0, -0.6973373318525177], [0.0, 0.0], [0.9413344011788674, 0.0], [0.0, 0.0], [0.5772939742980604, 0.0], [0.0, 0.0], [0.0, 0.012268950907930136], [0.0, 0.0], [0.0, 0.9170764984613534], [0.0, 0.0], [3.138157507270445, 0.0], [0.0, 0.0], [0.8969577785662117, 0.0], [0.0, 0.0], [0.0, 0.9308418431822538], [0.0, 0.0], [0.0, 3.1773097129720993], [0.0, 0.0], [1.1312522366126667, 0.0], [0.0, 0.0], [-0.401451527643231, 0.0], [0.0, 0.0], [0.0, 2.9387000628145983], [0.0, 0.0], [0.0, 0.02148408351959578], [0.0, 0.0], [-0.009629065464368076, 0.0], [0.0, 0.0], [0.05017793445636665, 0.0], [0.0, 0.0]], 'angles': [None, -0.4484474977465966, 0.09673563938051896, 0.05137551520281694, -0.2484611121399823, 0.051233332711222705, -0.18320041334366616, -0.24850309408222096, -0.47572474433395684, -0.3418913597877939, -0.35888092093305557, 0.11284451938684784, -0.20096264169936184, -0.28030267387461, -0.43723187287709664, 0.007334671744992546, -0.11952245408982894, -0.409918148622085, -0.132079558147783, -0.44331692671989203, -0.17200662586998222, 0.07581339875620331, -0.1759829642372489, -0.15431727393148348, -0.2507662596433056, 0.010916055739706958, -0.39956581427634646, -0.22285302093472822, -0.42293421277381404, -0.3115621233354118, 0.09014541218054556, -0.3977726633652221, -0.26728620095480077, -0.3561643985104686, 0.03168704288826366, 0.13506115912734076, -0.3786894975930357, -0.2269336595264618, -0.4305820877533447, 0.058516512127557, -0.207199920549997, -0.3645943854252416, 0.150490022355876, -0.16725402983541673, -0.45561245730224426, 0.07238686288479065, -0.019507665933725778, -0.47570042135342894, -0.2629129172319222, -0.45368855488504034, -0.1877476051785826, 0.12890646722853577, -0.36210798892912055, -0.19922092778589046, -0.30531258159107877, -0.4870378740757305, -0.4152083112323538, -0.4680910133968689, 0.004709110911117254, -0.283560222915618, -0.12890656460227573, 0.08139587981639361, -0.20512553548660062, -0.48458145643092226, -0.17139573238938222, -0.444141623467663, -0.25228298907837404, -0.2974537404083108, -0.11939562181610047, -0.44885081546294786, -0.25881266555772625, 0.1830788694913358, 0.07314395363586733, 0.040402506183111385, -0.31460651672846307, 0.09938510964499808, -0.44744603214773876, 0.072438483314601, -0.2487573473077118, -0.2963695754617815, -0.22919137015759206, 0.02257171856191164, -0.3299598639160078, -0.18424426811194952, -0.40135501390738937, -0.23943148184370894, -0.19755236299930648, -0.41183553713577, -0.4817453063543255, 0.009732112922818443, -0.1611192946895536, -0.4056152497406943, -0.4370928477988952, -0.2008229472978214, -0.3641745552740928, 0.13414680209799743, 0.015334345563335983, -0.14499730999748253, -0.20410648136484613, -0.4259443145714659], 'char_orbit_index': 4, 'conrey_index': 127, 'dual_conrey_index': 127, 'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': -1.224744871391589, 'embedding_root_real': -1.224744871391589, 'hecke_orbit': 4, 'hecke_orbit_code': 13511005157982464, 'label': '256.7.d.d.127.2', 'level': 256, 'weight': 7}
  • mf_newspaces • Show schema
    {'Nk2': 12544, 'analytic_conductor': 58.893845406681855, 'char_conductor': 8, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': -1, 'char_values': [256, 2, [255, 5], [1, 1]], 'conrey_index': 127, 'cusp_dim': 180, 'dim': 46, 'eis_dim': 24, 'eis_new_dim': 4, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 206275870976, 'hecke_orbit_dims': [2, 2, 2, 4, 4, 4, 4, 12, 12], 'label': '256.7.d', 'level': 256, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2], 'level_radical': 2, 'mf_dim': 204, 'mf_new_dim': 50, 'num_forms': 9, 'prim_orbit_index': 4, 'relative_dim': 46, 'sturm_bound': 224, 'trace_bound': 9, 'trace_display': [0, 0, 0, 0], 'traces': [46, 0, 0, 0, 0, 0, 0, 0, 10210, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -118746, 0, 0, 0, 0, 0, 0, 0, 2912, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -159602, 0, 0, 0, 0, 0, 0, 0, 541408, 0, 0, 0, 0, 0, 0, 0, 310328, 0, 0, 0, 0, 0, 0, 0, 1678180, 0, 0, 0, 0, 0, 0, 0, 1774382, 0, 0, 0, 0, 0, 0, 0, 293924, 0, 0, 0, 0, 0, 0, 0, 4213436, 0, 0, 0, 0, 0, 0, 0, -411008, 0, 0, 0, 0, 0, 0, 0, 321692, 0, 0, 0, 0, 0, 0, 0, -1149310, 0, 0, 0, 0, 0, 0, 0, -4009248, 0, 0, 0, 0, 0, 0, 0, 10954244, 0, 0, 0, 0, 0, 0, 0, -5784776, 0, 0, 0, 0, 0, 0, 0, -3965788, 0, 0, 0, 0, 0, 0, 0, -4029568, 0, 0, 0, 0, 0, 0, 0, -13268922, 0, 0, 0, 0, 0, 0, 0, 20359264, 0, 0, 0, 0, 0, 0, 0, 37132552, 0, 0, 0, 0, 0, 0, 0, 19241276, 0, 0, 0, 0, 0, 0, 0, -48773792, 0, 0, 0, 0, 0, 0, 0, -12984480, 0, 0, 0, 0, 0, 0, 0, -10017792, 0, 0, 0, 0, 0, 0, 0, -34523606, 0, 0, 0, 0, 0, 0, 0, 42229988, 0, 0, 0, 0, 0, 0, 0, -21811588, 0, 0, 0, 0, 0, 0, 0, -101667744, 0, 0, 0, 0, 0, 0, 0, -57961508, 0, 0, 0, 0, 0, 0, 0, 56768648, 0, 0, 0, 0, 0, 0, 0, -67589248, 0, 0, 0, 0, 0, 0, 0, -33365596, 0, 0, 0, 0, 0, 0, 0, 66112842, 0, 0, 0, 0, 0, 0, 0, -97910080, 0, 0, 0, 0, 0, 0, 0, 70141112, 0, 0, 0, 0, 0, 0, 0, 144075460, 0, 0, 0, 0, 0, 0, 0, 41123680, 0, 0, 0, 0, 0, 0, 0, -88469760, 0, 0, 0, 0, 0, 0, 0, 66640028, 0, 0, 0, 0, 0, 0, 0, 104486272, 0, 0, 0, 0, 0, 0, 0, -56233124, 0, 0, 0, 0, 0, 0, 0, 128498210, 0, 0, 0, 0, 0, 0, 0, -220633380, 0, 0, 0, 0, 0, 0, 0, -171399672, 0, 0, 0, 0, 0, 0, 0, 151220352, 0, 0, 0, 0, 0, 0, 0, 460189792, 0, 0, 0, 0, 0, 0, 0, 552025852, 0, 0, 0, 0, 0, 0, 0, -194570684, 0, 0, 0, 0, 0, 0, 0, 236980192, 0, 0, 0, 0, 0, 0, 0, 40206956, 0, 0, 0, 0, 0, 0, 0, -92002180, 0, 0, 0, 0, 0, 0, 0, 326659714, 0, 0, 0, 0, 0, 0, 0, -297465284, 0, 0, 0, 0, 0, 0, 0, -796617596, 0, 0, 0, 0, 0, 0, 0, -733002752, 0, 0, 0, 0, 0, 0, 0, 654736224, 0, 0, 0, 0, 0, 0, 0, -765383240, 0, 0, 0, 0, 0, 0, 0, -299898144, 0, 0, 0, 0, 0, 0, 0, 208973440, 0, 0, 0, 0, 0, 0, 0, -579661816, 0, 0, 0, 0, 0, 0, 0, 665135552, 0, 0, 0, 0, 0, 0, 0, 449091844, 0, 0, 0, 0, 0, 0, 0, 1010938702, 0, 0, 0, 0, 0, 0, 0, -665656224, 0, 0, 0, 0, 0, 0, 0, 1335097016, 0, 0, 0, 0, 0, 0, 0, 599925504, 0, 0, 0, 0, 0, 0, 0, 512811072, 0, 0, 0, 0, 0, 0, 0, 788105540, 0, 0, 0, 0, 0, 0, 0, -1328968612, 0, 0, 0, 0, 0, 0, 0, -1112215032, 0, 0, 0, 0, 0, 0, 0, -2525217636, 0, 0, 0, 0, 0, 0, 0, 334749988, 0, 0, 0, 0, 0, 0, 0, -2433974912, 0, 0, 0, 0, 0, 0, 0, 107653732, 0, 0, 0, 0, 0, 0, 0, -1123763770, 0, 0, 0, 0, 0, 0, 0, -1002608800, 0, 0, 0, 0, 0, 0, 0, 2327296828, 0, 0, 0, 0, 0, 0, 0, 1740671712, 0, 0, 0, 0, 0, 0, 0, 2803028988, 0, 0, 0, 0, 0, 0, 0, -2475865472, 0, 0, 0, 0, 0, 0, 0, 1569605564, 0, 0, 0, 0, 0, 0, 0, -620740640, 0, 0, 0, 0, 0, 0, 0, 52875832, 0, 0, 0, 0, 0, 0, 0, 1246928072, 0, 0, 0, 0, 0, 0, 0, -1532910848, 0, 0, 0, 0, 0, 0, 0, -1792054272, 0, 0, 0, 0, 0, 0, 0, -1715947392, 0, 0, 0, 0, 0, 0, 0, 1454236834, 0, 0, 0, 0, 0, 0, 0, -1516494880, 0, 0, 0, 0, 0, 0, 0, -920148472, 0, 0, 0, 0, 0, 0, 0, 133167712, 0, 0, 0, 0, 0, 0, 0, 536984004, 0, 0, 0, 0, 0, 0, 0, 541914428, 0, 0, 0, 0, 0, 0, 0, 4268454016, 0, 0, 0, 0, 0, 0, 0, 2181523128, 0, 0, 0, 0, 0, 0, 0, -282443128, 0, 0, 0, 0, 0, 0, 0, 4618612028, 0, 0, 0, 0, 0, 0, 0, -88696828, 0, 0, 0, 0, 0, 0, 0, 2206835424, 0, 0, 0, 0, 0, 0, 0, 4935435488, 0, 0, 0, 0, 0, 0, 0, -849732420, 0, 0, 0, 0, 0, 0, 0, -3882498426, 0, 0, 0, 0, 0, 0, 0, -2847062816, 0, 0, 0, 0, 0, 0, 0, 1587558596, 0, 0, 0, 0, 0, 0, 0, -4842170312, 0, 0, 0, 0, 0, 0, 0, 1990018532, 0, 0, 0, 0, 0, 0, 0, -1909144292, 0, 0, 0, 0, 0, 0, 0, -8294478336, 0, 0, 0, 0, 0, 0, 0, 2779165824, 0, 0, 0, 0, 0, 0, 0, 5096944648, 0, 0, 0, 0, 0, 0, 0, 5457395424, 0, 0, 0, 0, 0, 0, 0, -5704476704, 0, 0, 0, 0, 0, 0, 0, 433526460, 0, 0, 0, 0, 0, 0, 0, -218225180, 0, 0, 0, 0, 0, 0, 0, -2424134400, 0, 0, 0, 0, 0, 0, 0, 7107843652, 0, 0, 0, 0, 0, 0, 0, 1155855790, 0, 0, 0, 0, 0, 0, 0, -11265948352, 0, 0, 0, 0, 0, 0, 0, 902994940, 0, 0, 0, 0, 0, 0, 0, 3157274504, 0, 0, 0, 0, 0, 0, 0, -5107058080, 0, 0, 0, 0, 0, 0, 0], 'weight': 7, 'weight_parity': -1}
  • mf_twists_cc • Show schema
    • id: 43159626
      {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511005157982464, 'source_is_minimal': False, 'source_label': '256.7.d.d.127.2', 'source_level': 256, 'target_conrey_index': 127, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511005157982464, 'target_is_minimal': False, 'target_label': '256.7.d.d.127.2', 'target_level': 256, 'twist_class_label': '32.7.c.b.31.1', 'twist_class_level': 32, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 7}
    • id: 43159627
      {'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511005157982464, 'source_is_minimal': False, 'source_label': '256.7.d.d.127.2', 'source_level': 256, 'target_conrey_index': 127, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 27021804040093952, 'target_is_minimal': False, 'target_label': '256.7.d.g.127.4', 'target_level': 256, 'twist_class_label': '32.7.c.b.31.1', 'twist_class_level': 32, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 7}
    • id: 43159628
      {'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511005157982464, 'source_is_minimal': False, 'source_label': '256.7.d.d.127.2', 'source_level': 256, 'target_conrey_index': 127, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511005157982464, 'target_is_minimal': False, 'target_label': '256.7.d.d.127.1', 'target_level': 256, 'twist_class_label': '32.7.c.b.31.1', 'twist_class_level': 32, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 7}
    • id: 43159629
      {'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511005157982464, 'source_is_minimal': False, 'source_label': '256.7.d.d.127.2', 'source_level': 256, 'target_conrey_index': 127, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27021804040093952, 'target_is_minimal': False, 'target_label': '256.7.d.g.127.3', 'target_level': 256, 'twist_class_label': '32.7.c.b.31.1', 'twist_class_level': 32, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 7}
    • id: 43159630
      {'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511005157982464, 'source_is_minimal': False, 'source_label': '256.7.d.d.127.2', 'source_level': 256, 'target_conrey_index': 31, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4503737183764512, 'target_is_minimal': True, 'target_label': '32.7.c.b.31.4', 'target_level': 32, 'twist_class_label': '32.7.c.b.31.1', 'twist_class_level': 32, 'twisting_char_label': '16.3', 'twisting_conrey_index': 3, 'weight': 7}
    • id: 43159631
      {'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511005157982464, 'source_is_minimal': False, 'source_label': '256.7.d.d.127.2', 'source_level': 256, 'target_conrey_index': 63, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18014536065876032, 'target_is_minimal': False, 'target_label': '64.7.c.e.63.4', 'target_level': 64, 'twist_class_label': '32.7.c.b.31.1', 'twist_class_level': 32, 'twisting_char_label': '16.5', 'twisting_conrey_index': 5, 'weight': 7}
    • id: 43159632
      {'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511005157982464, 'source_is_minimal': False, 'source_label': '256.7.d.d.127.2', 'source_level': 256, 'target_conrey_index': 63, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014536065876032, 'target_is_minimal': False, 'target_label': '64.7.c.e.63.1', 'target_level': 64, 'twist_class_label': '32.7.c.b.31.1', 'twist_class_level': 32, 'twisting_char_label': '16.11', 'twisting_conrey_index': 11, 'weight': 7}
    • id: 43159633
      {'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511005157982464, 'source_is_minimal': False, 'source_label': '256.7.d.d.127.2', 'source_level': 256, 'target_conrey_index': 31, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737183764512, 'target_is_minimal': True, 'target_label': '32.7.c.b.31.1', 'target_level': 32, 'twist_class_label': '32.7.c.b.31.1', 'twist_class_level': 32, 'twisting_char_label': '16.13', 'twisting_conrey_index': 13, 'weight': 7}
    • id: 43159634
      {'conductor': 48, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511005157982464, 'source_is_minimal': False, 'source_label': '256.7.d.d.127.2', 'source_level': 256, 'target_conrey_index': 127, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 49540008335376960, 'target_is_minimal': False, 'target_label': '576.7.g.l.127.3', 'target_level': 576, 'twist_class_label': '32.7.c.b.31.1', 'twist_class_level': 32, 'twisting_char_label': '48.5', 'twisting_conrey_index': 5, 'weight': 7}
    • id: 43159635
      {'conductor': 48, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511005157982464, 'source_is_minimal': False, 'source_label': '256.7.d.d.127.2', 'source_level': 256, 'target_conrey_index': 127, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 49540008335376960, 'target_is_minimal': False, 'target_label': '576.7.g.l.127.4', 'target_level': 576, 'twist_class_label': '32.7.c.b.31.1', 'twist_class_level': 32, 'twisting_char_label': '48.11', 'twisting_conrey_index': 11, 'weight': 7}
    • id: 43159636
      {'conductor': 48, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511005157982464, 'source_is_minimal': False, 'source_label': '256.7.d.d.127.2', 'source_level': 256, 'target_conrey_index': 127, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504012061671712, 'target_is_minimal': False, 'target_label': '288.7.g.b.127.1', 'target_level': 288, 'twist_class_label': '32.7.c.b.31.1', 'twist_class_level': 32, 'twisting_char_label': '48.29', 'twisting_conrey_index': 29, 'weight': 7}
    • id: 43159637
      {'conductor': 48, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511005157982464, 'source_is_minimal': False, 'source_label': '256.7.d.d.127.2', 'source_level': 256, 'target_conrey_index': 127, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504012061671712, 'target_is_minimal': False, 'target_label': '288.7.g.b.127.2', 'target_level': 288, 'twist_class_label': '32.7.c.b.31.1', 'twist_class_level': 32, 'twisting_char_label': '48.35', 'twisting_conrey_index': 35, 'weight': 7}
  • mf_hecke_charpolys • Show schema
    • id: 596800
      {'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 13511005157982464, 'p': 2}
    • id: 596801
      {'charpoly_factorization': [[[-1392, 24, 1], 2]], 'hecke_orbit_code': 13511005157982464, 'p': 3}
    • id: 596802
      {'charpoly_factorization': [[[594384400, 0, 49544, 0, 1], 1]], 'hecke_orbit_code': 13511005157982464, 'p': 5}
    • id: 596803
      {'charpoly_factorization': [[[6637686784, 0, 187520, 0, 1], 1]], 'hecke_orbit_code': 13511005157982464, 'p': 7}
    • id: 596804
      {'charpoly_factorization': [[[34960, -1384, 1], 2]], 'hecke_orbit_code': 13511005157982464, 'p': 11}
    • id: 596805
      {'charpoly_factorization': [[[16907524239376, 0, 10681352, 0, 1], 1]], 'hecke_orbit_code': 13511005157982464, 'p': 13}
    • id: 596806
      {'charpoly_factorization': [[[-26651580, 2652, 1], 2]], 'hecke_orbit_code': 13511005157982464, 'p': 17}
    • id: 596807
      {'charpoly_factorization': [[[1280784, -10056, 1], 2]], 'hecke_orbit_code': 13511005157982464, 'p': 19}
    • id: 596808
      {'charpoly_factorization': [[[3320230347673600, 0, 256567424, 0, 1], 1]], 'hecke_orbit_code': 13511005157982464, 'p': 23}
    • id: 596809
      {'charpoly_factorization': [[[7248769878325264, 0, 1674788360, 0, 1], 1]], 'hecke_orbit_code': 13511005157982464, 'p': 29}
    • id: 596810
      {'charpoly_factorization': [[[1725314951050952704, 0, 2941306880, 0, 1], 1]], 'hecke_orbit_code': 13511005157982464, 'p': 31}
    • id: 596811
      {'charpoly_factorization': [[[48289983390032400, 0, 4361766024, 0, 1], 1]], 'hecke_orbit_code': 13511005157982464, 'p': 37}
    • id: 596812
      {'charpoly_factorization': [[[2638622020, -104924, 1], 2]], 'hecke_orbit_code': 13511005157982464, 'p': 41}
    • id: 596813
      {'charpoly_factorization': [[[-2663289968, -58408, 1], 2]], 'hecke_orbit_code': 13511005157982464, 'p': 43}
    • id: 596814
      {'charpoly_factorization': [[[746049717408956416, 0, 6482964992, 0, 1], 1]], 'hecke_orbit_code': 13511005157982464, 'p': 47}
    • id: 596815
      {'charpoly_factorization': [[[434410737792071184, 0, 2496883080, 0, 1], 1]], 'hecke_orbit_code': 13511005157982464, 'p': 53}
    • id: 596816
      {'charpoly_factorization': [[[44149586704, -447304, 1], 2]], 'hecke_orbit_code': 13511005157982464, 'p': 59}
    • id: 596817
      {'charpoly_factorization': [[[916161036875929187344, 0, 74723020040, 0, 1], 1]], 'hecke_orbit_code': 13511005157982464, 'p': 61}
    • id: 596818
      {'charpoly_factorization': [[[35540179600, -493544, 1], 2]], 'hecke_orbit_code': 13511005157982464, 'p': 67}
    • id: 596819
      {'charpoly_factorization': [[[3170380677377456410624, 0, 113187566720, 0, 1], 1]], 'hecke_orbit_code': 13511005157982464, 'p': 71}
    • id: 596820
      {'charpoly_factorization': [[[-174293877372, 109764, 1], 2]], 'hecke_orbit_code': 13511005157982464, 'p': 73}
    • id: 596821
      {'charpoly_factorization': [[[15603228581203031425024, 0, 280764101120, 0, 1], 1]], 'hecke_orbit_code': 13511005157982464, 'p': 79}
    • id: 596822
      {'charpoly_factorization': [[[-249080269040, -27208, 1], 2]], 'hecke_orbit_code': 13511005157982464, 'p': 83}
    • id: 596823
      {'charpoly_factorization': [[[848539402500, -1861500, 1], 2]], 'hecke_orbit_code': 13511005157982464, 'p': 89}
    • id: 596824
      {'charpoly_factorization': [[[-12900710204, -1459172, 1], 2]], 'hecke_orbit_code': 13511005157982464, 'p': 97}
  • mf_newform_portraits • Show schema
    {'char_orbit_index': 4, 'hecke_orbit': 4, 'label': '256.7.d.d', 'level': 256, 'portrait': 'data:image/png;base64,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', 'weight': 7}
  • mf_hecke_traces • Show schema
    Showing the first 100 of 258 matching records in this table.
    • id: 36364045
      {'hecke_orbit_code': 13511005157982464, 'n': 1, 'trace_an': 4}
    • id: 36364046
      {'hecke_orbit_code': 13511005157982464, 'n': 2, 'trace_an': 0}
    • id: 36364047
      {'hecke_orbit_code': 13511005157982464, 'n': 3, 'trace_an': -48}
    • id: 36364048
      {'hecke_orbit_code': 13511005157982464, 'n': 4, 'trace_an': 0}
    • id: 36364049
      {'hecke_orbit_code': 13511005157982464, 'n': 5, 'trace_an': 0}
    • id: 36364050
      {'hecke_orbit_code': 13511005157982464, 'n': 6, 'trace_an': 0}
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