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mf_newforms • Show schema
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{'Nk2': 10800, 'analytic_conductor': 39.82628925387491, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, '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': [675, 2, [326, 352], [2, 1]], 'cm_discs': [], 'conrey_index': 649, 'conrey_indexes': [649], 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [4, 0, 1]], [7, [0, 1]], [11, [10, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007268041327267, 'hecke_ring_generator_nbound': 17, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '675.4.b.c', 'level': 675, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '135.4.a.a', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q+2iq^{2}+4q^{4}+24iq^{8}-10q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '3.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '675.4.b', 'trace_display': [0, 0, 0, 0], 'trace_hash': 644456835075331903, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.008', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.921', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.033', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.095', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1.089', 'prec': 17}, {'__RealLiteral__': 0, 'data': '147.054', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.508', 'prec': 17}, 'traces': [2, 0, 0, 8, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, -32, 0, 0, 226, 0, 0, 0, 0, 0, 0, -320, 0, 0, -440, 0, -378, 0, 0, 28, 0, 0, 0, 0, 0, 0, 260, 0, 0, -80, 0, 324, 0, 0, 686, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1120, 0, 458, 0, 0, -896, 0, 0, 0, 0, 0, 0, -1780, 0, 0, -680, 0, 904, 0, 0, 54, 0, 0, 0, 0, 0, 0, 40, 0, 0, -1500, 0, 0, 0, 0, 640, 0, 0, 0, 0, 0, 0, 3000, 0, 0, -3840, 0, -2524, 0, 0, 1214, 0, 0, 0, 0, 0, 0, -1760, 0, 0, 0, 0, -2462, 0, 0, -1512, 0, 0, 0, 0, 0, 0, -4740, 0, 0, -3000, 0, 336, 0, 0, 248, 0, 0, 0, 0, 0, 0, -3560, 0, 0, -140, 0, 4496, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1040, 0, -1716, 0, 0, -8406, 0, 0, 0, 0, 0, 0, 320, 0, 0, -4720, 0, 2482, 0, 0, 3888, 0, 0, 0, 0, 0, 0, 9980, 0, 0, 5920, 0, 2744, 0, 0, -9128, 0, 0, 0, 0, 0, 0, -1840, 0, 0, -2260, 0, 9898, 0, 0, -1680, 0, 0, 0, 0, 0, 0, 1120, 0, 0, 0, 0, -8680, 0, 0, 12426, 0, 0, 0, 0, 0, 0, -4480, 0, 0, 12980, 0, -6802, 0, 0, 1832, 0, 0, 0, 0, 0, 0, 9960, 0, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 2], [0, 0], [4, 0], [0, 0], [0, 0], [0, 0], [0, 24], [0, 0], [0, 0], [-10, 0], [0, 0], [0, 80], [0, 0], [0, 0], [-16, 0], [0, -7], [0, 0], [113, 0], [0, 0], [0, 0], [0, -20], [0, -81], [0, 0], [0, 0], [-160, 0], [0, 0], [0, 0], [-220, 0], [0, 0], [-189, 0], [0, 160], [0, 0], [14, 0], [0, 0], [0, 0], [0, 170], [0, 226], [0, 0], [0, 0], [130, 0], [0, 0], [0, -10], [-40, 0], [0, 0], [162, 0], [0, -160], [0, 0], [343, 0], [0, 0], [0, 0], [0, 320], [0, 631], [0, 0], [0, 0], [0, 0], [0, 0], [0, -440], [-560, 0], [0, 0], [229, 0], [0, -378], [0, 0], [-448, 0], [0, 0], [0, 0], [0, 750], [0, -28], [0, 0], [0, 0], [-890, 0], [0, 0], [0, 890], [-340, 0], [0, 0], [452, 0], [0, 0], [0, 0], [27, 0], [0, 0], [0, 0], [0, 260], [0, 429], [0, 0], [0, 0], [20, 0], [0, 0], [0, -240], [-750, 0], [0, 0], [0, 0], [0, -324], [0, 0], [320, 0], [0, 0], [0, 0], [0, -1480], [0, 686], [0, 0], [0, 0]], 'ap': [[0, 2], [0, 0], [0, 0], [0, 0], [-10, 0], [0, 80], [0, -7], [113, 0], [0, -81], [-220, 0], [-189, 0], [0, 170], [130, 0], [0, -10], [0, -160], [0, 631], [-560, 0], [229, 0], [0, 750], [-890, 0], [0, 890], [27, 0], [0, 429], [-750, 0], [0, -1480], [1500, 0], [0, 460], [0, 420], [607, 0], [0, 2170], [0, -1610], [-2370, 0], [0, -1797], [124, 0], [-70, 0], [2248, 0], [0, 1010], [0, -590], [0, -2403], [0, 801], [-2360, 0], [1241, 0], [4990, 0], [0, 2260], [0, 2247], [-4564, 0], [4949, 0], [0, -3890], [0, -2453], [6213, 0], [0, -3450], [6490, 0], [-3401, 0], [4980, 0], [0, -3357], [0, -4540], [8410, 0], [259, 0], [0, -4170], [1740, 0], [0, 5070], [0, -159], [0, 6490], [8220, 0], [0, 4660], [0, 6817], [192, 0], [0, 4840], [0, 860], [-5377, 0], [0, -8010], [12930, 0], [0, -6000], [0, 140], [-6217, 0], [0, 4551], [-2310, 0], [0, -2900], [-2250, 0], [11263, 0], [-6910, 0], [-5249, 0], [11880, 0], [0, 4280], [-6463, 0], [0, 11721], [-2180, 0], [0, -17840], [2250, 0], [0, -1230], [0, -5813], [-6750, 0], [0, -6610], [4990, 0], [-1483, 0], [0, -11641], [2620, 0], [13690, 0], [0, 10220], [-2778, 0], [0, -12830], [0, 4950], [0, 6540], [-15240, 0], [-5281, 0], [0, -10510], [0, -4107], [0, 26129], [-4360, 0], [-16639, 0], [0, 490], [0, -18400], [0, -7827], [19756, 0], [9829, 0], [6000, 0], [0, -8280], [0, 16637], [0, 19751], [14260, 0], [22318, 0], [0, -20040], [0, 2310], [0, -26739], [5101, 0], [-26030, 0], [3854, 0], [-870, 0], [0, 35780], [0, 3400], [683, 0], [0, -13400], [-23219, 0], [0, 19630], [-2940, 0], [13987, 0], [0, 19839], [0, -38390], [0, 28027], [8630, 0], [-1932, 0], [18090, 0], [0, -12890], [0, -14887], [-12666, 0], [43820, 0], [0, -19320], [0, 3653], [-24373, 0], [0, -17629], [0, -21210], [-39340, 0], [0, 4240], [0, 15933], [0, -6780], [24740, 0], [48344, 0], [-29650, 0], [0, 10260], [16270, 0], [0, 23103], [0, -32090], [0, -42010], [-17490, 0], [0, 22130], [0, 40959], [61169, 0], [0, 26190]], 'char_orbit_index': 2, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 9007268041327267, 'hecke_ring_character_values': [[326, [1, 0]], [352, [-1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '675.4.b.c', 'level': 675, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 10800, 'analytic_conductor': 39.82628925387491, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [675, 2, [326, 352], [2, 1]], 'conrey_index': 649, 'cusp_dim': 252, 'dim': 72, 'eis_dim': 36, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11], 'hecke_orbit_code': 68786586275, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 6, 6, 6, 6, 8, 8, 8], 'label': '675.4.b', 'level': 675, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 288, 'mf_new_dim': 72, 'num_forms': 17, 'prim_orbit_index': 2, 'relative_dim': 72, 'sturm_bound': 360, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [72, 0, 0, -276, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1116, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -264, 0, 0, -2460, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 528, 0, 0, -1620, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 936, 0, 0, -1920, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7668, 0, 0, -4296, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6660, 0, 0, -4980, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1056, 0, 0, -4416, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1044, 0, 0, -7008, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 43176, 0, 0, -264, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7776, 0, 0, -14820, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -25560, 0, 0, 2256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13632, 0, 0, 41364, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -22992, 0, 0, -10932, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40848, 0, 0, 33504, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 34032, 0, 0, 16248, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -33720, 0, 0, -43728, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -69924, 0, 0, 24684, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 54492, 0, 0, 8076, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -14724, 0, 0, -48240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16044, 0, 0, 55068, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 68364, 0, 0, 20760, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -63864, 0, 0, 31656, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -155496, 0, 0, -39612, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 147120, 0, 0, 97392, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 89796, 0, 0, 18912, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -53328, 0, 0, -68712, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2904, 0, 0, -87564, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44532, 0, 0, 29796, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -62340, 0, 0, 70344, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -29904, 0, 0, 200784, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -211512, 0, 0, -12828, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44856, 0, 0, -81756, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48696, 0, 0, -94980, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 158352, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96420, 0, 0, -59184, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 136440, 0, 0, -163500, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 92688, 0, 0, 7044, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160428, 0, 0, -61536, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -106356, 0, 0, -109764, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -85188, 0, 0, -216564, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 77076, 0, 0, 238188, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48660, 0, 0, 46296, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 166572, 0, 0, 87936, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 41268, 0, 0, -154044, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -135840, 0, 0, -168168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -42720, 0, 0, -221004, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 378168, 0, 0, 157080, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -274128, 0, 0, 365304, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -68424, 0, 0, 99384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 62316, 0, 0, -363144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -42744, 0, 0, -342132, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -104664, 0, 0, 226728, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 70068, 0, 0, -133848, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -295380, 0, 0, -320124, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 169296, 0, 0, -36204, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 580512, 0, 0, 471132, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -424080, 0, 0, 137880, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -57408, 0, 0, 222996, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -452760, 0, 0, 403236, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -320640, 0, 0, 402504, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -245640, 0, 0, 381816, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 143736, 0, 0, -642420, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10824, 0, 0, -213000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 213588, 0, 0, 354720, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 557424, 0, 0, 181800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -150768, 0, 0, 508992, 0, 0, 0, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 445912
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '675.4.b.c', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '135.4.a.a', 'target_level': 135, 'twist_class_label': '135.4.a.a', 'twist_class_level': 135, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 445913
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '675.4.b.c', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '135.4.a.d', 'target_level': 135, 'twist_class_label': '135.4.a.a', 'twist_class_level': 135, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 445914
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '675.4.b.c', 'source_level': 675, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '405.4.e.e', 'target_level': 405, 'twist_class_label': '135.4.a.a', 'twist_class_level': 135, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 445915
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '675.4.b.c', 'source_level': 675, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '405.4.e.j', 'target_level': 405, 'twist_class_label': '135.4.a.a', 'twist_class_level': 135, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 445916
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '675.4.b.c', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '675.4.a.b', 'target_level': 675, 'twist_class_label': '135.4.a.a', 'twist_class_level': 135, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 445917
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '675.4.b.c', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '675.4.a.i', 'target_level': 675, 'twist_class_label': '135.4.a.a', 'twist_class_level': 135, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 445918
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '675.4.b.c', 'source_level': 675, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '675.4.b.c', 'target_level': 675, 'twist_class_label': '135.4.a.a', 'twist_class_level': 135, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 445919
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '675.4.b.c', 'source_level': 675, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '675.4.b.c', 'target_level': 675, 'twist_class_label': '135.4.a.a', 'twist_class_level': 135, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 445920
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '675.4.b.c', 'source_level': 675, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '675.4.b.d', 'target_level': 675, 'twist_class_label': '135.4.a.a', 'twist_class_level': 135, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
-
id: 445921
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '675.4.b.c', 'source_level': 675, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '675.4.b.d', 'target_level': 675, 'twist_class_label': '135.4.a.a', 'twist_class_level': 135, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 4}
-
id: 445922
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '675.4.b.c', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2160.4.a.d', 'target_level': 2160, 'twist_class_label': '135.4.a.a', 'twist_class_level': 135, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 4}
-
id: 445923
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '675.4.b.c', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '2160.4.a.n', 'target_level': 2160, 'twist_class_label': '135.4.a.a', 'twist_class_level': 135, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 1196375
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 9007268041327267, 'p': 2}
-
id: 1196376
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007268041327267, 'p': 3}
-
id: 1196377
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007268041327267, 'p': 5}
-
id: 1196378
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007268041327267, 'p': 7}
-
id: 1196379
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 9007268041327267, 'p': 11}
-
id: 1196380
{'charpoly_factorization': [[[6400, 0, 1], 1]], 'hecke_orbit_code': 9007268041327267, 'p': 13}
-
id: 1196381
{'charpoly_factorization': [[[49, 0, 1], 1]], 'hecke_orbit_code': 9007268041327267, 'p': 17}
-
id: 1196382
{'charpoly_factorization': [[[-113, 1], 2]], 'hecke_orbit_code': 9007268041327267, 'p': 19}
-
id: 1196383
{'charpoly_factorization': [[[6561, 0, 1], 1]], 'hecke_orbit_code': 9007268041327267, 'p': 23}
-
id: 1196384
{'charpoly_factorization': [[[220, 1], 2]], 'hecke_orbit_code': 9007268041327267, 'p': 29}
-
id: 1196385
{'charpoly_factorization': [[[189, 1], 2]], 'hecke_orbit_code': 9007268041327267, 'p': 31}
-
id: 1196386
{'charpoly_factorization': [[[28900, 0, 1], 1]], 'hecke_orbit_code': 9007268041327267, 'p': 37}
-
id: 1196387
{'charpoly_factorization': [[[-130, 1], 2]], 'hecke_orbit_code': 9007268041327267, 'p': 41}
-
id: 1196388
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 9007268041327267, 'p': 43}
-
id: 1196389
{'charpoly_factorization': [[[25600, 0, 1], 1]], 'hecke_orbit_code': 9007268041327267, 'p': 47}
-
id: 1196390
{'charpoly_factorization': [[[398161, 0, 1], 1]], 'hecke_orbit_code': 9007268041327267, 'p': 53}
-
id: 1196391
{'charpoly_factorization': [[[560, 1], 2]], 'hecke_orbit_code': 9007268041327267, 'p': 59}
-
id: 1196392
{'charpoly_factorization': [[[-229, 1], 2]], 'hecke_orbit_code': 9007268041327267, 'p': 61}
-
id: 1196393
{'charpoly_factorization': [[[562500, 0, 1], 1]], 'hecke_orbit_code': 9007268041327267, 'p': 67}
-
id: 1196394
{'charpoly_factorization': [[[890, 1], 2]], 'hecke_orbit_code': 9007268041327267, 'p': 71}
-
id: 1196395
{'charpoly_factorization': [[[792100, 0, 1], 1]], 'hecke_orbit_code': 9007268041327267, 'p': 73}
-
id: 1196396
{'charpoly_factorization': [[[-27, 1], 2]], 'hecke_orbit_code': 9007268041327267, 'p': 79}
-
id: 1196397
{'charpoly_factorization': [[[184041, 0, 1], 1]], 'hecke_orbit_code': 9007268041327267, 'p': 83}
-
id: 1196398
{'charpoly_factorization': [[[750, 1], 2]], 'hecke_orbit_code': 9007268041327267, 'p': 89}
-
id: 1196399
{'charpoly_factorization': [[[2190400, 0, 1], 1]], 'hecke_orbit_code': 9007268041327267, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 3, 'label': '675.4.b.c', 'level': 675, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 115173000
{'hecke_orbit_code': 9007268041327267, 'n': 1, 'trace_an': 2}
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id: 115173001
{'hecke_orbit_code': 9007268041327267, 'n': 2, 'trace_an': 0}
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id: 115173002
{'hecke_orbit_code': 9007268041327267, 'n': 3, 'trace_an': 0}
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id: 115173003
{'hecke_orbit_code': 9007268041327267, 'n': 4, 'trace_an': 8}
-
id: 115173004
{'hecke_orbit_code': 9007268041327267, 'n': 5, 'trace_an': 0}
-
id: 115173005
{'hecke_orbit_code': 9007268041327267, 'n': 6, 'trace_an': 0}
-
id: 115173006
{'hecke_orbit_code': 9007268041327267, 'n': 7, 'trace_an': 0}
-
id: 115173007
{'hecke_orbit_code': 9007268041327267, 'n': 8, 'trace_an': 0}
-
id: 115173008
{'hecke_orbit_code': 9007268041327267, 'n': 9, 'trace_an': 0}
-
id: 115173009
{'hecke_orbit_code': 9007268041327267, 'n': 10, 'trace_an': 0}
-
id: 115173010
{'hecke_orbit_code': 9007268041327267, 'n': 11, 'trace_an': -20}
-
id: 115173011
{'hecke_orbit_code': 9007268041327267, 'n': 12, 'trace_an': 0}
-
id: 115173012
{'hecke_orbit_code': 9007268041327267, 'n': 13, 'trace_an': 0}
-
id: 115173013
{'hecke_orbit_code': 9007268041327267, 'n': 14, 'trace_an': 0}
-
id: 115173014
{'hecke_orbit_code': 9007268041327267, 'n': 15, 'trace_an': 0}
-
id: 115173015
{'hecke_orbit_code': 9007268041327267, 'n': 16, 'trace_an': -32}
-
id: 115173016
{'hecke_orbit_code': 9007268041327267, 'n': 17, 'trace_an': 0}
-
id: 115173017
{'hecke_orbit_code': 9007268041327267, 'n': 18, 'trace_an': 0}
-
id: 115173018
{'hecke_orbit_code': 9007268041327267, 'n': 19, 'trace_an': 226}
-
id: 115173019
{'hecke_orbit_code': 9007268041327267, 'n': 20, 'trace_an': 0}
-
id: 115173020
{'hecke_orbit_code': 9007268041327267, 'n': 21, 'trace_an': 0}
-
id: 115173021
{'hecke_orbit_code': 9007268041327267, 'n': 22, 'trace_an': 0}
-
id: 115173022
{'hecke_orbit_code': 9007268041327267, 'n': 23, 'trace_an': 0}
-
id: 115173023
{'hecke_orbit_code': 9007268041327267, 'n': 24, 'trace_an': 0}
-
id: 115173024
{'hecke_orbit_code': 9007268041327267, 'n': 25, 'trace_an': 0}
-
id: 115173025
{'hecke_orbit_code': 9007268041327267, 'n': 26, 'trace_an': -320}
-
id: 115173026
{'hecke_orbit_code': 9007268041327267, 'n': 27, 'trace_an': 0}
-
id: 115173027
{'hecke_orbit_code': 9007268041327267, 'n': 28, 'trace_an': 0}
-
id: 115173028
{'hecke_orbit_code': 9007268041327267, 'n': 29, 'trace_an': -440}
-
id: 115173029
{'hecke_orbit_code': 9007268041327267, 'n': 30, 'trace_an': 0}
-
id: 115173030
{'hecke_orbit_code': 9007268041327267, 'n': 31, 'trace_an': -378}
-
id: 115173031
{'hecke_orbit_code': 9007268041327267, 'n': 32, 'trace_an': 0}
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