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mf_newforms • Show schema
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{'Nk2': 3844, 'analytic_conductor': 7.673623634245045, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 31, 'char_degree': 8, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 15, 'char_parity': 1, 'char_values': [961, 15, [3], [13]], 'cm_discs': [], 'conrey_index': 235, 'dim': 8, 'field_disc': 1265625, 'field_disc_factorization': [[3, 4], [5, 6]], 'field_poly': [1, -1, 0, 1, -1, 1, 0, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 15, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, -3, 4, -2, 1]], [3, [256, -384, 320, -256, 144, -16, 0, -4, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525609742009281, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 31, 3, 1, 3, 0], [1, 1, 31, 4, 1, 5, 0], [1, 1, 31, 7, 1, 15, 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': '961.2.g.h', 'level': 961, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [31], 'level_radical': 31, 'minimal_twist': '31.2.a.a', 'nf_label': '8.0.1265625.1', 'prim_orbit_index': 7, 'qexp_display': 'q+(1+\\zeta_{15}^{3}+\\zeta_{15}^{6})q^{2}+(2-2\\zeta_{15}^{4}+\\cdots)q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c15', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '961.2.g', 'trace_display': [4, 4, -4, 3], 'trace_hash': 633718627078451301, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.011', 'prec': 17}, {'__RealLiteral__': 0, 'data': '8.272', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_cc • Show schema
Hide schema
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-0.45577160117335475], 'char_orbit_index': 7, 'conrey_index': 338, 'dual_conrey_index': 816, 'dual_embedding_index': 1, 'dual_embedding_m': 6, 'embedding_index': 1, 'embedding_m': 2, 'embedding_root_imag': 0.20791169081775934, 'embedding_root_real': -0.9781476007338057, 'hecke_orbit': 8, 'hecke_orbit_code': 31525609742009281, 'label': '961.2.g.h.338.1', 'level': 961, 'weight': 2}
-
mf_newspaces • Show schema
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{'Nk2': 3844, 'analytic_conductor': 7.673623634245045, 'char_conductor': 31, 'char_degree': 8, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 15, 'char_parity': 1, 'char_values': [961, 15, [3], [13]], 'conrey_index': 235, 'cusp_dim': 536, 'dim': 504, 'eis_dim': 256, 'eis_new_dim': 224, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 412350415809, 'hecke_orbit_dims': [8, 8, 8, 8, 8, 8, 8, 8, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 24, 96, 128], 'label': '961.2.g', 'level': 961, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [31], 'level_radical': 31, 'mf_dim': 792, 'mf_new_dim': 728, 'num_forms': 23, 'prim_orbit_index': 7, 'relative_dim': 63, 'sturm_bound': 165, 'trace_bound': 7, 'trace_display': [6, 12, 3, -2], 'traces': [504, 6, 12, -86, 3, -11, -2, -23, 45, 5, 7, -5, 7, 9, -14, -38, 6, 3, -16, -34, 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mf_twists_cc • Show schema
Hide schema
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id: 46300381
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 338, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525609742009281, 'target_is_minimal': False, 'target_label': '961.2.g.h.338.1', 'target_level': 961, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46300382
{'conductor': 31, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 732, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525609742009281, 'target_is_minimal': False, 'target_label': '961.2.g.h.732.1', 'target_level': 961, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '31.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46300383
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 531, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206191985601, 'target_is_minimal': False, 'target_label': '961.2.d.a.531.1', 'target_level': 961, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '31.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46300384
{'conductor': 31, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 448, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350415809, 'target_is_minimal': False, 'target_label': '961.2.g.a.448.1', 'target_level': 961, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '31.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46300385
{'conductor': 31, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 235, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525609742009281, 'target_is_minimal': False, 'target_label': '961.2.g.h.235.1', 'target_level': 961, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '31.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46300386
{'conductor': 31, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 388, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021803956208577, 'target_is_minimal': False, 'target_label': '961.2.d.g.388.1', 'target_level': 961, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '31.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 46300387
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 628, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007405446726593, 'target_is_minimal': False, 'target_label': '961.2.d.c.628.1', 'target_level': 961, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '31.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 46300388
{'conductor': 31, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 521, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014535981990849, 'target_is_minimal': False, 'target_label': '961.2.c.e.521.1', 'target_level': 961, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '31.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 46300389
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 439, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014535981990849, 'target_is_minimal': False, 'target_label': '961.2.c.e.439.1', 'target_level': 961, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '31.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 46300390
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 816, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525609742009281, 'target_is_minimal': False, 'target_label': '961.2.g.h.816.1', 'target_level': 961, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '31.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 46300391
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 846, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511211232527297, 'target_is_minimal': False, 'target_label': '961.2.g.d.846.1', 'target_level': 961, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '31.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46300392
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 374, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021803956208577, 'target_is_minimal': False, 'target_label': '961.2.d.g.374.1', 'target_level': 961, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '31.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 46300393
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 547, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511211232527297, 'target_is_minimal': False, 'target_label': '961.2.g.d.547.1', 'target_level': 961, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '31.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 46300394
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33554463, 'target_is_minimal': True, 'target_label': '31.2.a.a.1.1', 'target_level': 31, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '31.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 46300395
{'conductor': 31, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 844, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511211232527297, 'target_is_minimal': False, 'target_label': '961.2.g.d.844.1', 'target_level': 961, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '31.15', 'twisting_conrey_index': 15, 'weight': 2}
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id: 46300396
{'conductor': 31, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 844, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350415809, 'target_is_minimal': False, 'target_label': '961.2.g.a.844.1', 'target_level': 961, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '31.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 46300397
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170407873, 'target_is_minimal': False, 'target_label': '961.2.a.f.1.1', 'target_level': 961, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '31.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 46300398
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 547, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350415809, 'target_is_minimal': False, 'target_label': '961.2.g.a.547.1', 'target_level': 961, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '31.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 46300399
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 374, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511005074097089, 'target_is_minimal': False, 'target_label': '961.2.d.d.374.1', 'target_level': 961, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '31.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 46300400
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 846, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350415809, 'target_is_minimal': False, 'target_label': '961.2.g.a.846.1', 'target_level': 961, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '31.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 46300401
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 816, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014810859897793, 'target_is_minimal': False, 'target_label': '961.2.g.e.816.1', 'target_level': 961, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '31.21', 'twisting_conrey_index': 21, 'weight': 2}
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id: 46300402
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 439, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007336727249857, 'target_is_minimal': False, 'target_label': '961.2.c.c.439.1', 'target_level': 961, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '31.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 46300403
{'conductor': 31, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 521, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007336727249857, 'target_is_minimal': False, 'target_label': '961.2.c.c.521.1', 'target_level': 961, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '31.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 46300404
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 628, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206191985601, 'target_is_minimal': False, 'target_label': '961.2.d.a.628.1', 'target_level': 961, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '31.24', 'twisting_conrey_index': 24, 'weight': 2}
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id: 46300405
{'conductor': 31, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 388, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511005074097089, 'target_is_minimal': False, 'target_label': '961.2.d.d.388.1', 'target_level': 961, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '31.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 46300406
{'conductor': 31, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 235, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014810859897793, 'target_is_minimal': False, 'target_label': '961.2.g.e.235.1', 'target_level': 961, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '31.26', 'twisting_conrey_index': 26, 'weight': 2}
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id: 46300407
{'conductor': 31, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 448, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511211232527297, 'target_is_minimal': False, 'target_label': '961.2.g.d.448.1', 'target_level': 961, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '31.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 46300408
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 531, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007405446726593, 'target_is_minimal': False, 'target_label': '961.2.d.c.531.1', 'target_level': 961, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '31.28', 'twisting_conrey_index': 28, 'weight': 2}
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id: 46300409
{'conductor': 31, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 732, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014810859897793, 'target_is_minimal': False, 'target_label': '961.2.g.e.732.1', 'target_level': 961, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '31.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 46300410
{'conductor': 31, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 338, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014810859897793, 'target_is_minimal': False, 'target_label': '961.2.g.e.338.1', 'target_level': 961, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '31.30', 'twisting_conrey_index': 30, 'weight': 2}
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id: 46300411
{'conductor': 93, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 33554711, 'target_is_minimal': False, 'target_label': '279.2.a.a.1.2', 'target_level': 279, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '93.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 46300412
{'conductor': 93, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007199288304073, 'target_is_minimal': False, 'target_label': '8649.2.a.c.1.2', 'target_level': 8649, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '93.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 46300413
{'conductor': 124, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028797052518896, 'target_is_minimal': False, 'target_label': '496.2.a.i.1.1', 'target_level': 496, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '124.107', 'twisting_conrey_index': 107, 'weight': 2}
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id: 46300414
{'conductor': 155, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510798915666695, 'target_is_minimal': False, 'target_label': '775.2.a.d.1.2', 'target_level': 775, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '155.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 46300415
{'conductor': 155, 'degree': 16, 'order': 60, 'parity': -1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 249, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510867635143431, 'target_is_minimal': False, 'target_label': '775.2.b.d.249.2', 'target_level': 775, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '155.107', 'twisting_conrey_index': 107, 'weight': 2}
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id: 46300416
{'conductor': 155, 'degree': 16, 'order': 60, 'parity': -1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 249, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13510867635143431, 'target_is_minimal': False, 'target_label': '775.2.b.d.249.3', 'target_level': 775, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '155.138', 'twisting_conrey_index': 138, 'weight': 2}
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id: 46300417
{'conductor': 217, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33555951, 'target_is_minimal': False, 'target_label': '1519.2.a.a.1.1', 'target_level': 1519, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '217.76', 'twisting_conrey_index': 76, 'weight': 2}
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id: 46300418
{'conductor': 248, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561193698854848, 'target_is_minimal': False, 'target_label': '1984.2.a.r.1.1', 'target_level': 1984, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '248.45', 'twisting_conrey_index': 45, 'weight': 2}
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id: 46300419
{'conductor': 248, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58546795189372864, 'target_is_minimal': False, 'target_label': '1984.2.a.n.1.2', 'target_level': 1984, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '248.107', 'twisting_conrey_index': 107, 'weight': 2}
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id: 46300420
{'conductor': 341, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503599660928679, 'target_is_minimal': False, 'target_label': '3751.2.a.b.1.2', 'target_level': 3751, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '341.76', 'twisting_conrey_index': 76, 'weight': 2}
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id: 46300421
{'conductor': 372, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 139611588482044272, 'target_is_minimal': False, 'target_label': '4464.2.a.bf.1.2', 'target_level': 4464, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '372.107', 'twisting_conrey_index': 107, 'weight': 2}
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id: 46300422
{'conductor': 403, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22517998170412151, 'target_is_minimal': False, 'target_label': '5239.2.a.f.1.2', 'target_level': 5239, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '403.324', 'twisting_conrey_index': 324, 'weight': 2}
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id: 46300423
{'conductor': 465, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 108086391090453311, 'target_is_minimal': False, 'target_label': '6975.2.a.y.1.1', 'target_level': 6975, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '465.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 46300424
{'conductor': 527, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 338, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525609742009281, 'source_is_minimal': False, 'source_label': '961.2.g.h.338.1', 'source_level': 961, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660933887, 'target_is_minimal': False, 'target_label': '8959.2.a.b.1.1', 'target_level': 8959, 'twist_class_label': '31.2.a.a.1.1', 'twist_class_level': 31, 'twisting_char_label': '527.169', 'twisting_conrey_index': 169, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1541475
{'charpoly_factorization': [[[1, -3, 4, -2, 1], 2]], 'hecke_orbit_code': 31525609742009281, 'p': 2}
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id: 1541476
{'charpoly_factorization': [[[256, -384, 320, -256, 144, -16, 0, -4, 1], 1]], 'hecke_orbit_code': 31525609742009281, 'p': 3}
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id: 1541477
{'charpoly_factorization': [[[1, 1, 1], 4]], 'hecke_orbit_code': 31525609742009281, 'p': 5}
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id: 1541478
{'charpoly_factorization': [[[1, -7, 30, -127, 339, -43, -10, -3, 1], 1]], 'hecke_orbit_code': 31525609742009281, 'p': 7}
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id: 1541479
{'charpoly_factorization': [[[256, -128, 0, 32, -16, 8, 0, -2, 1], 1]], 'hecke_orbit_code': 31525609742009281, 'p': 11}
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id: 1541480
{'charpoly_factorization': [[[256, -384, 320, -256, 144, -16, 0, -4, 1], 1]], 'hecke_orbit_code': 31525609742009281, 'p': 13}
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id: 1541481
{'charpoly_factorization': [[[256, -512, 640, -832, 624, 112, -20, 2, 1], 1]], 'hecke_orbit_code': 31525609742009281, 'p': 17}
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id: 1541482
{'charpoly_factorization': [[[625, -625, 250, -125, 75, -25, 10, -5, 1], 1]], 'hecke_orbit_code': 31525609742009281, 'p': 19}
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id: 1541483
{'charpoly_factorization': [[[1936, 704, 136, 14, 1], 2]], 'hecke_orbit_code': 31525609742009281, 'p': 23}
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id: 1541484
{'charpoly_factorization': [[[400, 0, 40, 10, 1], 2]], 'hecke_orbit_code': 31525609742009281, 'p': 29}
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id: 1541485
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 31525609742009281, 'p': 31}
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id: 1541486
{'charpoly_factorization': [[[4, -2, 1], 4]], 'hecke_orbit_code': 31525609742009281, 'p': 37}
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id: 1541487
{'charpoly_factorization': [[[5764801, -823543, 0, 16807, -2401, 343, 0, -7, 1], 1]], 'hecke_orbit_code': 31525609742009281, 'p': 41}
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id: 1541488
{'charpoly_factorization': [[[256, 256, 0, 64, 144, 64, 20, 6, 1], 1]], 'hecke_orbit_code': 31525609742009281, 'p': 43}
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id: 1541489
{'charpoly_factorization': [[[256, -128, 64, -12, 1], 2]], 'hecke_orbit_code': 31525609742009281, 'p': 47}
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id: 1541490
{'charpoly_factorization': [[[65536, -16384, -20480, -14336, 9984, 1664, 160, 16, 1], 1]], 'hecke_orbit_code': 31525609742009281, 'p': 53}
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id: 1541491
{'charpoly_factorization': [[[625, 625, 250, 125, 75, 25, 10, 5, 1], 1]], 'hecke_orbit_code': 31525609742009281, 'p': 59}
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id: 1541492
{'charpoly_factorization': [[[-116, 6, 1], 4]], 'hecke_orbit_code': 31525609742009281, 'p': 61}
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id: 1541493
{'charpoly_factorization': [[[64, 8, 1], 4]], 'hecke_orbit_code': 31525609742009281, 'p': 67}
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id: 1541494
{'charpoly_factorization': [[[214358881, 47832147, 5124350, 564707, 53859, 2183, 150, 23, 1], 1]], 'hecke_orbit_code': 31525609742009281, 'p': 71}
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id: 1541495
{'charpoly_factorization': [[[256, -384, -640, -1376, 5424, -1016, 120, -14, 1], 1]], 'hecke_orbit_code': 31525609742009281, 'p': 73}
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id: 1541496
{'charpoly_factorization': [[[160000, 80000, -24000, 16000, 21200, 2800, 240, 20, 1], 1]], 'hecke_orbit_code': 31525609742009281, 'p': 79}
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id: 1541497
{'charpoly_factorization': [[[3748096, -2214784, 774400, -261536, 58224, -1576, -80, -14, 1], 1]], 'hecke_orbit_code': 31525609742009281, 'p': 83}
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id: 1541498
{'charpoly_factorization': [[[400, 200, 160, 20, 1], 2]], 'hecke_orbit_code': 31525609742009281, 'p': 89}
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id: 1541499
{'charpoly_factorization': [[[961, -403, 289, -27, 1], 2]], 'hecke_orbit_code': 31525609742009281, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 8, 'label': '961.2.g.h', 'level': 961, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 49993153
{'hecke_orbit_code': 31525609742009281, 'n': 1, 'trace_an': 8}
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id: 49993154
{'hecke_orbit_code': 31525609742009281, 'n': 2, 'trace_an': 4}
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id: 49993155
{'hecke_orbit_code': 31525609742009281, 'n': 3, 'trace_an': 4}
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id: 49993156
{'hecke_orbit_code': 31525609742009281, 'n': 4, 'trace_an': -4}
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id: 49993157
{'hecke_orbit_code': 31525609742009281, 'n': 5, 'trace_an': -4}
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id: 49993158
{'hecke_orbit_code': 31525609742009281, 'n': 6, 'trace_an': 12}
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