Formats: - HTML - YAML - JSON - 2026-08-24T02:51:59.490495
  • mf_newformsShow schema
    {'Nk2': 11250, 'analytic_conductor': 46.51648338772995, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 15, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': -1, 'char_values': [450, 2, [101, 127], [1, 1]], 'cm_discs': [], 'conrey_index': 449, 'dim': 4, 'field_disc': 256, 'field_disc_factorization': [[2, 8]], 'field_poly': [1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 8, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [6889, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503668430733762, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 15, 4, -1, 2, 0], [1, 1, 5, 2, 1, 2, 0], [1, 1, 3, 2, -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': True, 'label': '450.5.b.b', 'level': 450, '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': '450.5.d.a', 'nf_label': '4.0.256.1', 'prim_orbit_index': 4, 'qexp_display': 'q-2\\beta_{3} q^{2}+8 q^{4}-83\\beta_1 q^{7}-16\\beta_{3} q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '4.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '450.5.b', 'trace_display': [0, 0, 0, 0], 'trace_hash': 803011747570682099, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.073', 'prec': 7}, {'__RealLiteral__': 0, 'data': '3.799', 'prec': 14}, {'__RealLiteral__': 0, 'data': '1.235', 'prec': 14}, {'__RealLiteral__': 0, 'data': '120.138', 'prec': 20}, {'__RealLiteral__': 0, 'data': '40.374', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4888.301', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.761', 'prec': 10}, 'traces': [4, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 556, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4204, 0, 0, -5808, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2544, 0, 0, -17952, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 23300, 0, 0, 2048, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4448, 0, 0, -37184, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13612, 0, 0, -33360, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4416, 0, 0, -60476, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32572, 0, 0, -33632, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -46464, 0, 0, 79648, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 75788, 0, 0, -75696, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 90288, 0, 0, 107520, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 130652, 0, 0, -20352, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -143616, 0, 0, -66860, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -231316, 0, 0, 93120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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  • mf_hecke_ccShow schema
    {'an_normalized': [[1.0, 0.0], [0.7071067811865476, 0.0], [0.0, 0.0], [0.5, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, -1.6938775510204083], [0.3535533905932738, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, -0.6661997773162514], [0.0, 0.0], [0.0, 0.24260355029585798], [0.0, -1.1977523028261927], [0.0, 0.0], [0.25, 0.0], [-1.776330529901154, 0.0], [0.0, 0.0], [0.3850415512465374, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, -0.47107438016528924], [-0.42506608018397374, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.17154661555413284], [0.0, 0.0], [0.0, -0.8469387755102041], [0.0, 0.8021163724755842], [0.0, 0.0], [-1.093652445369407, 0.0], [0.1767766952966369, 0.0], [0.0, 0.0], [-1.2560553633217992, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 1.2213294375456538], [0.27226549192501415, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, -0.4946802942744675], [0.0, 0.0], [0.0, -1.36019469983775], [0.0, -0.3330998886581257], [0.0, 0.0], [-0.3005671077504726, 0.0], [-1.3348281021040758, 0.0], [0.0, 0.0], [-1.8692211578508955, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.12130177514792899], [-0.13895441196688296, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, -0.5988761514130964], [0.0, 0.0], [0.0, 0.5671819262782402], [0.0, 0.21572749256538737], [0.0, 0.0], [1.5654393980112873, 0.0], [-0.7733290603819578, 0.0], [0.0, 0.0], [0.125, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, -1.617063934061038], [-0.888165264950577, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, -1.3701684266276921], [0.0, 0.0], [0.0, -0.8541940326515294], [0.0, 0.8636103273512837], [0.0, 0.0], [0.1925207756232687, 0.0], [-1.128460847290793, 0.0], [0.0, 0.0], [-1.4895048870373337, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, -0.3497917906008328], [1.1584275123343555, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, -0.9618028959892737], [0.0, 0.0], [0.0, -0.23553719008264462], [0.0, 0.7670068758938033], [0.0, 0.0], [0.41094070764400437, 0.0], [-0.21253304009198687, 0.0], [0.0, 0.0], [-0.9438660027161612, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, -0.19056222765437347], [-1.321738956253738, 0.0], [0.0, 0.0], [0.0, 0.0]], 'angles': [None, None, None, -0.33922150416446467, -0.4459526819253273, 0.019353437968317573, -0.4240099797857455, -0.21916685981803333, -0.2840856564079365, 0.06567874303105646, -0.34208208293633907, 0.10454883886964303, -0.46022174600874516, -0.3809687478390666, -0.3662994233179258, -0.261066556167405, 0.017200512491014213, -0.1069159238539017, -0.35013125664577444, -0.3798826933100963, -0.42976813868107844, -0.38371622252262666, -0.1516798293907681, 0.06264128677303131, -0.48481250043500285, 0.23519258422487063, -0.3282300411258452, -0.19148188540400135, -0.35976136819723853, -0.39795915866013226, -0.40970005434068185, -0.43911124651320876, -0.3898211930375989, -0.16384132114911695, 0.0508151426548483, -0.18180573276368778, -0.442281145364181, 0.0052633936837246514, -0.22721173652878843, -0.12150480409556902, -0.4936022688494011, -0.16694140058835127, 0.07745672001549066, -0.4838577347643824, -0.21551570827880454, -0.28384294781815306, -0.3625019906926171, -0.43954525877217543, -0.25217533566415734, -0.24638356563924382, -0.11265666693152207, -0.4167454755840509, -0.2624436999353856, 0.18381791696636599, -0.3023410347385138, -0.26487963899365974, -0.32856414799164485, -0.19651127472238183, 0.031240302640847338, -0.36954388298111013, 0.07775525391134847, -0.05658123715285978, 0.06656127877504865, 0.06300910671616146, -0.45732292398620644, -0.1915523425884512, -0.09245736666957381, 0.03817388701190698, -0.12205945210952752, -0.33189388155068855, -0.39331531922344576, 0.0367165090964753, -0.4969588446583449, -0.46509675707216847, -0.34745689812378855, -0.21238332930884526, -0.34003657173402024, -0.3926905922858979, -0.38810005145577603, -0.2612633029103175, 0.037871924765211555, -0.12247602784172049, 0.009695029943365439, 0.009019467468436912, -0.17938895496719123, -0.36821277826149035, -0.49997320500432807, 0.04262277030403817, 0.022307525122577936, -0.49078569572531, -0.2738005089483807, 0.061482224801831444, -0.4467735788140574, -0.3827074593963153, -0.46448005062566333, -0.44592751155974863, -0.45605845151441265, -0.42265280905553226, -0.41198426762711504, -0.2714307519007994], 'char_orbit_index': 2, 'conrey_index': 449, 'dual_conrey_index': 449, 'dual_embedding_index': 4, 'dual_embedding_m': 4, 'embedding_index': 3, 'embedding_m': 3, 'embedding_root_imag': -0.7071067811865476, 'embedding_root_real': -0.7071067811865476, 'hecke_orbit': 2, 'hecke_orbit_code': 4503668430733762, 'label': '450.5.b.b.449.3', 'level': 450, 'weight': 5}
  • mf_newspacesShow schema
    {'Nk2': 11250, 'analytic_conductor': 46.51648338772995, 'char_conductor': 15, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': -1, 'char_values': [450, 2, [101, 127], [1, 1]], 'conrey_index': 449, 'cusp_dim': 336, 'dim': 24, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [7], 'hecke_orbit_code': 68803363266, 'hecke_orbit_dims': [4, 4, 8, 8], 'label': '450.5.b', 'level': 450, '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, 'mf_dim': 384, 'mf_new_dim': 24, 'num_forms': 4, 'prim_orbit_index': 4, 'relative_dim': 24, 'sturm_bound': 450, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [24, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1536, 0, 0, -744, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 456, 0, 0, -4608, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2304, 0, 0, -15312, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 35880, 0, 0, 12288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5952, 0, 0, -7584, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4152, 0, 0, 34560, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -66816, 0, 0, -67416, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -60888, 0, 0, 3648, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36864, 0, 0, 175008, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 87288, 0, 0, 198144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -52992, 0, 0, -190800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 201432, 0, 0, -18432, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -122496, 0, 0, -374520, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -83976, 0, 0, 195840, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -421632, 0, 0, -80808, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 790968, 0, 0, 287040, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 98304, 0, 0, -543456, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 250080, 0, 0, -315648, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 225792, 0, 0, 327288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -258120, 0, 0, -47616, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -60672, 0, 0, 661392, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -293376, 0, 0, 499968, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -216576, 0, 0, -1383072, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1317840, 0, 0, 33216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 276480, 0, 0, 794040, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -329904, 0, 0, -297216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -221184, 0, 0, 2035032, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1750560, 0, 0, -534528, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -539328, 0, 0, 1047864, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -227808, 0, 0, -366336, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2045952, 0, 0, -1819848, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1216608, 0, 0, -487104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 29184, 0, 0, 466536, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3095424, 0, 0, -338688, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1006848, 0, 0, -2494536, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2762088, 0, 0, -294912, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1400064, 0, 0, 3868440, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3879768, 0, 0, -4368384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 997632, 0, 0, 1100664, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4868232, 0, 0, 698304, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1585152, 0, 0, 1716744, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -644280, 0, 0, 1695744, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1124352, 0, 0, -3794544, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1219872, 0, 0, -423936, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1526400, 0, 0, -1733976, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -697200, 0, 0, 246528, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -926208, 0, 0, 4141992, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6625872, 0, 0, 1611456, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -147456, 0, 0, 5786304, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2707872, 0, 0, -1043712, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1338624, 0, 0, -4868040, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1889856, 0, 0, -979968, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2996160, 0, 0, -717840, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 229560, 0, 0, 4794624, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3564288, 0, 0, -3729552, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9317832, 0, 0, -671808, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1566720, 0, 0, 5570832, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -13183464, 0, 0, 3700224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 239616, 0, 0, 1386528, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11697984, 0, 0, -3373056, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -646464, 0, 0, -11841720, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1777728, 0, 0, 2663424, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -13259520, 0, 0, -11975232, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2397840, 0, 0, 6327744, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2296320, 0, 0, 3397536, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19137912, 0, 0, -8992512, 0, 0, 0, 0, 0, 0], 'weight': 5, 'weight_parity': -1}
  • mf_twists_ccShow schema
    • id: 34595312
      {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503668430733762, 'source_is_minimal': False, 'source_label': '450.5.b.b.449.3', 'source_level': 450, 'target_conrey_index': 449, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503668430733762, 'target_is_minimal': False, 'target_label': '450.5.b.b.449.3', 'target_level': 450, 'twist_class_label': '450.5.d.a.251.1', 'twist_class_level': 450, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 5}
    • id: 34595313
      {'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503668430733762, 'source_is_minimal': False, 'source_label': '450.5.b.b.449.3', 'source_level': 450, 'target_conrey_index': 449, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503668430733762, 'target_is_minimal': False, 'target_label': '450.5.b.b.449.1', 'target_level': 450, 'twist_class_label': '450.5.d.a.251.1', 'twist_class_level': 450, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 5}
    • id: 34595314
      {'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503668430733762, 'source_is_minimal': False, 'source_label': '450.5.b.b.449.3', 'source_level': 450, 'target_conrey_index': 251, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511005124428226, 'target_is_minimal': True, 'target_label': '450.5.d.d.251.2', 'target_level': 450, 'twist_class_label': '450.5.d.a.251.1', 'twist_class_level': 450, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 5}
    • id: 34595315
      {'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503668430733762, 'source_is_minimal': False, 'source_label': '450.5.b.b.449.3', 'source_level': 450, 'target_conrey_index': 251, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206242316738, 'target_is_minimal': True, 'target_label': '450.5.d.a.251.1', 'target_level': 450, 'twist_class_label': '450.5.d.a.251.1', 'twist_class_level': 450, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 5}
    • id: 34595316
      {'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503668430733762, 'source_is_minimal': False, 'source_label': '450.5.b.b.449.3', 'source_level': 450, 'target_conrey_index': 449, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503668430733762, 'target_is_minimal': False, 'target_label': '450.5.b.b.449.2', 'target_level': 450, 'twist_class_label': '450.5.d.a.251.1', 'twist_class_level': 450, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 5}
    • id: 34595317
      {'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503668430733762, 'source_is_minimal': False, 'source_label': '450.5.b.b.449.3', 'source_level': 450, 'target_conrey_index': 251, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511005124428226, 'target_is_minimal': True, 'target_label': '450.5.d.d.251.1', 'target_level': 450, 'twist_class_label': '450.5.d.a.251.1', 'twist_class_level': 450, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 5}
    • id: 34595318
      {'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503668430733762, 'source_is_minimal': False, 'source_label': '450.5.b.b.449.3', 'source_level': 450, 'target_conrey_index': 251, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 206242316738, 'target_is_minimal': True, 'target_label': '450.5.d.a.251.2', 'target_level': 450, 'twist_class_label': '450.5.d.a.251.1', 'twist_class_level': 450, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 5}
    • id: 34595319
      {'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503668430733762, 'source_is_minimal': False, 'source_label': '450.5.b.b.449.3', 'source_level': 450, 'target_conrey_index': 449, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4503668430733762, 'target_is_minimal': False, 'target_label': '450.5.b.b.449.4', 'target_level': 450, 'twist_class_label': '450.5.d.a.251.1', 'twist_class_level': 450, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 5}
  • mf_hecke_charpolysShow schema
    • id: 909200
      {'charpoly_factorization': [[[-8, 0, 1], 2]], 'hecke_orbit_code': 4503668430733762, 'p': 2}
    • id: 909201
      {'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4503668430733762, 'p': 3}
    • id: 909202
      {'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4503668430733762, 'p': 5}
    • id: 909203
      {'charpoly_factorization': [[[6889, 0, 1], 2]], 'hecke_orbit_code': 4503668430733762, 'p': 7}
    • id: 909204
      {'charpoly_factorization': [[[6498, 0, 1], 2]], 'hecke_orbit_code': 4503668430733762, 'p': 11}
    • id: 909205
      {'charpoly_factorization': [[[1681, 0, 1], 2]], 'hecke_orbit_code': 4503668430733762, 'p': 13}
    • id: 909206
      {'charpoly_factorization': [[[-263538, 0, 1], 2]], 'hecke_orbit_code': 4503668430733762, 'p': 17}
    • id: 909207
      {'charpoly_factorization': [[[-139, 1], 4]], 'hecke_orbit_code': 4503668430733762, 'p': 19}
    • id: 909208
      {'charpoly_factorization': [[[-50562, 0, 1], 2]], 'hecke_orbit_code': 4503668430733762, 'p': 23}
    • id: 909209
      {'charpoly_factorization': [[[455058, 0, 1], 2]], 'hecke_orbit_code': 4503668430733762, 'p': 29}
    • id: 909210
      {'charpoly_factorization': [[[1051, 1], 4]], 'hecke_orbit_code': 4503668430733762, 'p': 31}
    • id: 909211
      {'charpoly_factorization': [[[2795584, 0, 1], 2]], 'hecke_orbit_code': 4503668430733762, 'p': 37}
    • id: 909212
      {'charpoly_factorization': [[[691488, 0, 1], 2]], 'hecke_orbit_code': 4503668430733762, 'p': 41}
    • id: 909213
      {'charpoly_factorization': [[[6325225, 0, 1], 2]], 'hecke_orbit_code': 4503668430733762, 'p': 43}
    • id: 909214
      {'charpoly_factorization': [[[-8694450, 0, 1], 2]], 'hecke_orbit_code': 4503668430733762, 'p': 47}
    • id: 909215
      {'charpoly_factorization': [[[-152352, 0, 1], 2]], 'hecke_orbit_code': 4503668430733762, 'p': 53}
    • id: 909216
      {'charpoly_factorization': [[[563922, 0, 1], 2]], 'hecke_orbit_code': 4503668430733762, 'p': 59}
    • id: 909217
      {'charpoly_factorization': [[[-5825, 1], 4]], 'hecke_orbit_code': 4503668430733762, 'p': 61}
    • id: 909218
      {'charpoly_factorization': [[[52693081, 0, 1], 2]], 'hecke_orbit_code': 4503668430733762, 'p': 67}
    • id: 909219
      {'charpoly_factorization': [[[47706912, 0, 1], 2]], 'hecke_orbit_code': 4503668430733762, 'p': 71}
    • id: 909220
      {'charpoly_factorization': [[[20720704, 0, 1], 2]], 'hecke_orbit_code': 4503668430733762, 'p': 73}
    • id: 909221
      {'charpoly_factorization': [[[9296, 1], 4]], 'hecke_orbit_code': 4503668430733762, 'p': 79}
    • id: 909222
      {'charpoly_factorization': [[[-63686898, 0, 1], 2]], 'hecke_orbit_code': 4503668430733762, 'p': 83}
    • id: 909223
      {'charpoly_factorization': [[[36911232, 0, 1], 2]], 'hecke_orbit_code': 4503668430733762, 'p': 89}
    • id: 909224
      {'charpoly_factorization': [[[3214849, 0, 1], 2]], 'hecke_orbit_code': 4503668430733762, 'p': 97}
  • mf_newform_portraitsShow schema
    {'char_orbit_index': 2, 'hecke_orbit': 2, 'label': '450.5.b.b', 'level': 450, 'portrait': 'data:image/png;base64,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', 'weight': 5}
  • mf_hecke_tracesShow schema
    Showing the first 100 of 258 matching records in this table.
    • id: 20617014
      {'hecke_orbit_code': 4503668430733762, 'n': 1, 'trace_an': 4}
    • id: 20617015
      {'hecke_orbit_code': 4503668430733762, 'n': 2, 'trace_an': 0}
    • id: 20617016
      {'hecke_orbit_code': 4503668430733762, 'n': 3, 'trace_an': 0}
    • id: 20617017
      {'hecke_orbit_code': 4503668430733762, 'n': 4, 'trace_an': 32}
    • id: 20617018
      {'hecke_orbit_code': 4503668430733762, 'n': 5, 'trace_an': 0}
    • id: 20617019
      {'hecke_orbit_code': 4503668430733762, 'n': 6, 'trace_an': 0}
    • id: 20617020
      {'hecke_orbit_code': 4503668430733762, 'n': 7, 'trace_an': 0}
    • id: 20617021
      {'hecke_orbit_code': 4503668430733762, 'n': 8, 'trace_an': 0}
    • id: 20617022
      {'hecke_orbit_code': 4503668430733762, 'n': 9, 'trace_an': 0}
    • id: 20617023
      {'hecke_orbit_code': 4503668430733762, 'n': 10, 'trace_an': 0}
    • id: 20617024
      {'hecke_orbit_code': 4503668430733762, 'n': 11, 'trace_an': 0}
    • id: 20617025
      {'hecke_orbit_code': 4503668430733762, 'n': 12, 'trace_an': 0}
    • id: 20617026
      {'hecke_orbit_code': 4503668430733762, 'n': 13, 'trace_an': 0}
    • id: 20617027
      {'hecke_orbit_code': 4503668430733762, 'n': 14, 'trace_an': 0}
    • id: 20617028
      {'hecke_orbit_code': 4503668430733762, 'n': 15, 'trace_an': 0}
    • id: 20617029
      {'hecke_orbit_code': 4503668430733762, 'n': 16, 'trace_an': 256}
    • id: 20617030
      {'hecke_orbit_code': 4503668430733762, 'n': 17, 'trace_an': 0}
    • id: 20617031
      {'hecke_orbit_code': 4503668430733762, 'n': 18, 'trace_an': 0}
    • id: 20617032
      {'hecke_orbit_code': 4503668430733762, 'n': 19, 'trace_an': 556}
    • id: 20617033
      {'hecke_orbit_code': 4503668430733762, 'n': 20, 'trace_an': 0}
    • id: 20617034
      {'hecke_orbit_code': 4503668430733762, 'n': 21, 'trace_an': 0}
    • id: 20617035
      {'hecke_orbit_code': 4503668430733762, 'n': 22, 'trace_an': 0}
    • id: 20617036
      {'hecke_orbit_code': 4503668430733762, 'n': 23, 'trace_an': 0}
    • id: 20617037
      {'hecke_orbit_code': 4503668430733762, 'n': 24, 'trace_an': 0}
    • id: 20617038
      {'hecke_orbit_code': 4503668430733762, 'n': 25, 'trace_an': 0}
    • id: 20617039
      {'hecke_orbit_code': 4503668430733762, 'n': 26, 'trace_an': 0}
    • id: 20617040
      {'hecke_orbit_code': 4503668430733762, 'n': 27, 'trace_an': 0}
    • id: 20617041
      {'hecke_orbit_code': 4503668430733762, 'n': 28, 'trace_an': 0}
    • id: 20617042
      {'hecke_orbit_code': 4503668430733762, 'n': 29, 'trace_an': 0}
    • id: 20617043
      {'hecke_orbit_code': 4503668430733762, 'n': 30, 'trace_an': 0}
    • id: 20617044
      {'hecke_orbit_code': 4503668430733762, 'n': 31, 'trace_an': -4204}
    • id: 20617045
      {'hecke_orbit_code': 4503668430733762, 'n': 32, 'trace_an': 0}
    • id: 20617046
      {'hecke_orbit_code': 4503668430733762, 'n': 33, 'trace_an': 0}
    • id: 20617047
      {'hecke_orbit_code': 4503668430733762, 'n': 34, 'trace_an': -5808}
    • id: 20617048
      {'hecke_orbit_code': 4503668430733762, 'n': 35, 'trace_an': 0}
    • id: 20617049
      {'hecke_orbit_code': 4503668430733762, 'n': 36, 'trace_an': 0}
    • id: 20617050
      {'hecke_orbit_code': 4503668430733762, 'n': 37, 'trace_an': 0}
    • id: 20617051
      {'hecke_orbit_code': 4503668430733762, 'n': 38, 'trace_an': 0}
    • id: 20617052
      {'hecke_orbit_code': 4503668430733762, 'n': 39, 'trace_an': 0}
    • id: 20617053
      {'hecke_orbit_code': 4503668430733762, 'n': 40, 'trace_an': 0}
    • id: 20617054
      {'hecke_orbit_code': 4503668430733762, 'n': 41, 'trace_an': 0}
    • id: 20617055
      {'hecke_orbit_code': 4503668430733762, 'n': 42, 'trace_an': 0}
    • id: 20617056
      {'hecke_orbit_code': 4503668430733762, 'n': 43, 'trace_an': 0}
    • id: 20617057
      {'hecke_orbit_code': 4503668430733762, 'n': 44, 'trace_an': 0}
    • id: 20617058
      {'hecke_orbit_code': 4503668430733762, 'n': 45, 'trace_an': 0}
    • id: 20617059
      {'hecke_orbit_code': 4503668430733762, 'n': 46, 'trace_an': -2544}
    • id: 20617060
      {'hecke_orbit_code': 4503668430733762, 'n': 47, 'trace_an': 0}
    • id: 20617061
      {'hecke_orbit_code': 4503668430733762, 'n': 48, 'trace_an': 0}
    • id: 20617062
      {'hecke_orbit_code': 4503668430733762, 'n': 49, 'trace_an': -17952}
    • id: 20617063
      {'hecke_orbit_code': 4503668430733762, 'n': 50, 'trace_an': 0}
    • id: 20617064
      {'hecke_orbit_code': 4503668430733762, 'n': 51, 'trace_an': 0}
    • id: 20617065
      {'hecke_orbit_code': 4503668430733762, 'n': 52, 'trace_an': 0}
    • id: 20617066
      {'hecke_orbit_code': 4503668430733762, 'n': 53, 'trace_an': 0}
    • id: 20617067
      {'hecke_orbit_code': 4503668430733762, 'n': 54, 'trace_an': 0}
    • id: 20617068
      {'hecke_orbit_code': 4503668430733762, 'n': 55, 'trace_an': 0}
    • id: 20617069
      {'hecke_orbit_code': 4503668430733762, 'n': 56, 'trace_an': 0}
    • id: 20617070
      {'hecke_orbit_code': 4503668430733762, 'n': 57, 'trace_an': 0}
    • id: 20617071
      {'hecke_orbit_code': 4503668430733762, 'n': 58, 'trace_an': 0}
    • id: 20617072
      {'hecke_orbit_code': 4503668430733762, 'n': 59, 'trace_an': 0}
    • id: 20617073
      {'hecke_orbit_code': 4503668430733762, 'n': 60, 'trace_an': 0}
    • id: 20617074
      {'hecke_orbit_code': 4503668430733762, 'n': 61, 'trace_an': 23300}
    • id: 20617075
      {'hecke_orbit_code': 4503668430733762, 'n': 62, 'trace_an': 0}
    • id: 20617076
      {'hecke_orbit_code': 4503668430733762, 'n': 63, 'trace_an': 0}
    • id: 20617077
      {'hecke_orbit_code': 4503668430733762, 'n': 64, 'trace_an': 2048}
    • id: 20617078
      {'hecke_orbit_code': 4503668430733762, 'n': 65, 'trace_an': 0}
    • id: 20617079
      {'hecke_orbit_code': 4503668430733762, 'n': 66, 'trace_an': 0}
    • id: 20617080
      {'hecke_orbit_code': 4503668430733762, 'n': 67, 'trace_an': 0}
    • id: 20617081
      {'hecke_orbit_code': 4503668430733762, 'n': 68, 'trace_an': 0}
    • id: 20617082
      {'hecke_orbit_code': 4503668430733762, 'n': 69, 'trace_an': 0}
    • id: 20617083
      {'hecke_orbit_code': 4503668430733762, 'n': 70, 'trace_an': 0}
    • id: 20617084
      {'hecke_orbit_code': 4503668430733762, 'n': 71, 'trace_an': 0}
    • id: 20617085
      {'hecke_orbit_code': 4503668430733762, 'n': 72, 'trace_an': 0}
    • id: 20617086
      {'hecke_orbit_code': 4503668430733762, 'n': 73, 'trace_an': 0}
    • id: 20617087
      {'hecke_orbit_code': 4503668430733762, 'n': 74, 'trace_an': 0}
    • id: 20617088
      {'hecke_orbit_code': 4503668430733762, 'n': 75, 'trace_an': 0}
    • id: 20617089
      {'hecke_orbit_code': 4503668430733762, 'n': 76, 'trace_an': 4448}
    • id: 20617090
      {'hecke_orbit_code': 4503668430733762, 'n': 77, 'trace_an': 0}
    • id: 20617091
      {'hecke_orbit_code': 4503668430733762, 'n': 78, 'trace_an': 0}
    • id: 20617092
      {'hecke_orbit_code': 4503668430733762, 'n': 79, 'trace_an': -37184}
    • id: 20617093
      {'hecke_orbit_code': 4503668430733762, 'n': 80, 'trace_an': 0}
    • id: 20617094
      {'hecke_orbit_code': 4503668430733762, 'n': 81, 'trace_an': 0}
    • id: 20617095
      {'hecke_orbit_code': 4503668430733762, 'n': 82, 'trace_an': 0}
    • id: 20617096
      {'hecke_orbit_code': 4503668430733762, 'n': 83, 'trace_an': 0}
    • id: 20617097
      {'hecke_orbit_code': 4503668430733762, 'n': 84, 'trace_an': 0}
    • id: 20617098
      {'hecke_orbit_code': 4503668430733762, 'n': 85, 'trace_an': 0}
    • id: 20617099
      {'hecke_orbit_code': 4503668430733762, 'n': 86, 'trace_an': 0}
    • id: 20617100
      {'hecke_orbit_code': 4503668430733762, 'n': 87, 'trace_an': 0}
    • id: 20617101
      {'hecke_orbit_code': 4503668430733762, 'n': 88, 'trace_an': 0}
    • id: 20617102
      {'hecke_orbit_code': 4503668430733762, 'n': 89, 'trace_an': 0}
    • id: 20617103
      {'hecke_orbit_code': 4503668430733762, 'n': 90, 'trace_an': 0}
    • id: 20617104
      {'hecke_orbit_code': 4503668430733762, 'n': 91, 'trace_an': 13612}
    • id: 20617105
      {'hecke_orbit_code': 4503668430733762, 'n': 92, 'trace_an': 0}
    • id: 20617106
      {'hecke_orbit_code': 4503668430733762, 'n': 93, 'trace_an': 0}
    • id: 20617107
      {'hecke_orbit_code': 4503668430733762, 'n': 94, 'trace_an': -33360}
    • id: 20617108
      {'hecke_orbit_code': 4503668430733762, 'n': 95, 'trace_an': 0}
    • id: 20617109
      {'hecke_orbit_code': 4503668430733762, 'n': 96, 'trace_an': 0}
    • id: 20617110
      {'hecke_orbit_code': 4503668430733762, 'n': 97, 'trace_an': 0}
    • id: 20617111
      {'hecke_orbit_code': 4503668430733762, 'n': 98, 'trace_an': 0}
    • id: 20617112
      {'hecke_orbit_code': 4503668430733762, 'n': 99, 'trace_an': 0}
    • id: 20617113
      {'hecke_orbit_code': 4503668430733762, 'n': 100, 'trace_an': 0}