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mf_newforms • Show schema
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{'Nk2': 3100, 'analytic_conductor': 6.18840615664923, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 31, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 5, 'char_parity': 1, 'char_values': [775, 5, [652, 251], [5, 2]], 'cm_discs': [], 'conrey_index': 101, 'dim': 4, 'field_disc': 125, 'field_disc_factorization': [[5, 3]], 'field_poly': [1, -1, 1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 10, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, -2, 4, -3, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007886483063559, 'hecke_ring_generator_nbound': 2, '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, 31, 4, 1, 5, 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': '775.2.k.c', 'level': 775, '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': [5, 31], 'level_radical': 155, 'minimal_twist': '31.2.d.a', 'nf_label': '4.0.125.1', 'prim_orbit_index': 4, 'qexp_display': 'q+(1+\\zeta_{10}^{2})q^{2}+(-1+\\zeta_{10}-\\zeta_{10}^{2}+\\cdots)q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c5', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '775.2.k', 'trace_display': [3, -1, 0, 3], 'trace_hash': 1933096882182127522, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.007', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.968', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '47.411', 'prec': 20}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 3100, 'analytic_conductor': 6.18840615664923, 'char_conductor': 31, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 5, 'char_parity': 1, 'char_values': [775, 5, [652, 251], [5, 2]], 'conrey_index': 101, 'cusp_dim': 296, 'dim': 188, 'eis_dim': 48, 'eis_new_dim': 24, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 687228322567, 'hecke_orbit_dims': [4, 4, 4, 24, 24, 36, 36, 56], 'label': '775.2.k', 'level': 775, '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': [5, 31], 'level_radical': 155, 'mf_dim': 344, 'mf_new_dim': 212, 'num_forms': 8, 'prim_orbit_index': 4, 'relative_dim': 47, 'sturm_bound': 160, 'trace_bound': 2, 'trace_display': [3, 3, 0, 15], 'traces': [188, 3, 3, -43, 0, -18, 15, -13, -38, 0, -16, -8, 12, -2, 0, -45, 3, 22, 29, 0, -29, 18, 15, 59, 0, -24, 27, -54, 3, 0, -17, -38, 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mf_twists_cc • Show schema
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id: 41186217
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 126, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063559, 'source_is_minimal': False, 'source_label': '775.2.k.c.126.1', 'source_level': 775, 'target_conrey_index': 126, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007886483063559, 'target_is_minimal': False, 'target_label': '775.2.k.c.126.1', 'target_level': 775, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 41186218
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 126, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063559, 'source_is_minimal': False, 'source_label': '775.2.k.c.126.1', 'source_level': 775, 'target_conrey_index': 374, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2130337334023, 'target_is_minimal': False, 'target_label': '775.2.bf.a.374.1', 'target_level': 775, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 41186219
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 126, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063559, 'source_is_minimal': False, 'source_label': '775.2.k.c.126.1', 'source_level': 775, 'target_conrey_index': 374, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 2130337334023, 'target_is_minimal': False, 'target_label': '775.2.bf.a.374.2', 'target_level': 775, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 41186220
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 126, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063559, 'source_is_minimal': False, 'source_label': '775.2.k.c.126.1', 'source_level': 775, 'target_conrey_index': 2, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206191984671, 'target_is_minimal': True, 'target_label': '31.2.d.a.2.1', 'target_level': 31, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 41186221
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 126, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063559, 'source_is_minimal': False, 'source_label': '775.2.k.c.126.1', 'source_level': 775, 'target_conrey_index': 64, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 549789368599, 'target_is_minimal': False, 'target_label': '279.2.i.a.64.1', 'target_level': 279, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 41186222
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 126, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063559, 'source_is_minimal': False, 'source_label': '775.2.k.c.126.1', 'source_level': 775, 'target_conrey_index': 33, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504493014122992, 'target_is_minimal': False, 'target_label': '496.2.n.b.33.1', 'target_level': 496, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 41186223
{'conductor': 31, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 126, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063559, 'source_is_minimal': False, 'source_label': '775.2.k.c.126.1', 'source_level': 775, 'target_conrey_index': 326, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007886483063559, 'target_is_minimal': False, 'target_label': '775.2.k.c.326.1', 'target_level': 775, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '31.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 41186224
{'conductor': 155, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 126, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063559, 'source_is_minimal': False, 'source_label': '775.2.k.c.126.1', 'source_level': 775, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510798915666881, 'target_is_minimal': False, 'target_label': '961.2.a.d.1.2', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '155.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 41186225
{'conductor': 155, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 126, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063559, 'source_is_minimal': False, 'source_label': '775.2.k.c.126.1', 'source_level': 775, 'target_conrey_index': 844, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518410487268289, 'target_is_minimal': False, 'target_label': '961.2.g.f.844.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '155.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 41186226
{'conductor': 155, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 126, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063559, 'source_is_minimal': False, 'source_label': '775.2.k.c.126.1', 'source_level': 775, 'target_conrey_index': 547, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518410487268289, 'target_is_minimal': False, 'target_label': '961.2.g.f.547.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '155.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 41186227
{'conductor': 155, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 126, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063559, 'source_is_minimal': False, 'source_label': '775.2.k.c.126.1', 'source_level': 775, 'target_conrey_index': 846, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518410487268289, 'target_is_minimal': False, 'target_label': '961.2.g.f.846.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '155.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 41186228
{'conductor': 155, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 126, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063559, 'source_is_minimal': False, 'source_label': '775.2.k.c.126.1', 'source_level': 775, 'target_conrey_index': 439, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510936354620353, 'target_is_minimal': False, 'target_label': '961.2.c.d.439.2', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '155.24', 'twisting_conrey_index': 24, 'weight': 2}
-
id: 41186229
{'conductor': 155, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 126, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063559, 'source_is_minimal': False, 'source_label': '775.2.k.c.126.1', 'source_level': 775, 'target_conrey_index': 628, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014604701467585, 'target_is_minimal': False, 'target_label': '961.2.d.e.628.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '155.29', 'twisting_conrey_index': 29, 'weight': 2}
-
id: 41186230
{'conductor': 155, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 126, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063559, 'source_is_minimal': False, 'source_label': '775.2.k.c.126.1', 'source_level': 775, 'target_conrey_index': 235, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007611605156801, 'target_is_minimal': False, 'target_label': '961.2.g.c.235.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '155.34', 'twisting_conrey_index': 34, 'weight': 2}
-
id: 41186231
{'conductor': 155, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 126, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063559, 'source_is_minimal': False, 'source_label': '775.2.k.c.126.1', 'source_level': 775, 'target_conrey_index': 531, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518204328838081, 'target_is_minimal': False, 'target_label': '961.2.d.f.531.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '155.39', 'twisting_conrey_index': 39, 'weight': 2}
-
id: 41186232
{'conductor': 155, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 126, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063559, 'source_is_minimal': False, 'source_label': '775.2.k.c.126.1', 'source_level': 775, 'target_conrey_index': 338, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007611605156801, 'target_is_minimal': False, 'target_label': '961.2.g.c.338.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '155.44', 'twisting_conrey_index': 44, 'weight': 2}
-
id: 41186233
{'conductor': 155, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 126, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063559, 'source_is_minimal': False, 'source_label': '775.2.k.c.126.1', 'source_level': 775, 'target_conrey_index': 574, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 2130337334023, 'target_is_minimal': False, 'target_label': '775.2.bf.a.574.2', 'target_level': 775, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '155.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 41186234
{'conductor': 155, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 126, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063559, 'source_is_minimal': False, 'source_label': '775.2.k.c.126.1', 'source_level': 775, 'target_conrey_index': 338, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977786305, 'target_is_minimal': False, 'target_label': '961.2.g.b.338.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '155.49', 'twisting_conrey_index': 49, 'weight': 2}
-
id: 41186235
{'conductor': 155, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 126, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063559, 'source_is_minimal': False, 'source_label': '775.2.k.c.126.1', 'source_level': 775, 'target_conrey_index': 531, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014604701467585, 'target_is_minimal': False, 'target_label': '961.2.d.e.531.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '155.54', 'twisting_conrey_index': 54, 'weight': 2}
-
id: 41186236
{'conductor': 155, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 126, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063559, 'source_is_minimal': False, 'source_label': '775.2.k.c.126.1', 'source_level': 775, 'target_conrey_index': 235, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977786305, 'target_is_minimal': False, 'target_label': '961.2.g.b.235.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '155.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 41186237
{'conductor': 155, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 126, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063559, 'source_is_minimal': False, 'source_label': '775.2.k.c.126.1', 'source_level': 775, 'target_conrey_index': 628, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518204328838081, 'target_is_minimal': False, 'target_label': '961.2.d.f.628.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '155.64', 'twisting_conrey_index': 64, 'weight': 2}
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id: 41186238
{'conductor': 155, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 126, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063559, 'source_is_minimal': False, 'source_label': '775.2.k.c.126.1', 'source_level': 775, 'target_conrey_index': 439, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518135609361345, 'target_is_minimal': False, 'target_label': '961.2.c.f.439.2', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '155.69', 'twisting_conrey_index': 69, 'weight': 2}
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id: 41186239
{'conductor': 155, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 126, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063559, 'source_is_minimal': False, 'source_label': '775.2.k.c.126.1', 'source_level': 775, 'target_conrey_index': 846, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022010114638785, 'target_is_minimal': False, 'target_label': '961.2.g.g.846.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '155.74', 'twisting_conrey_index': 74, 'weight': 2}
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id: 41186240
{'conductor': 155, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 126, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063559, 'source_is_minimal': False, 'source_label': '775.2.k.c.126.1', 'source_level': 775, 'target_conrey_index': 574, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2130337334023, 'target_is_minimal': False, 'target_label': '775.2.bf.a.574.1', 'target_level': 775, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '155.78', 'twisting_conrey_index': 78, 'weight': 2}
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id: 41186241
{'conductor': 155, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 126, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063559, 'source_is_minimal': False, 'source_label': '775.2.k.c.126.1', 'source_level': 775, 'target_conrey_index': 547, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022010114638785, 'target_is_minimal': False, 'target_label': '961.2.g.g.547.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '155.79', 'twisting_conrey_index': 79, 'weight': 2}
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id: 41186242
{'conductor': 155, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 126, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063559, 'source_is_minimal': False, 'source_label': '775.2.k.c.126.1', 'source_level': 775, 'target_conrey_index': 844, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022010114638785, 'target_is_minimal': False, 'target_label': '961.2.g.g.844.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '155.84', 'twisting_conrey_index': 84, 'weight': 2}
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id: 41186243
{'conductor': 155, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 126, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063559, 'source_is_minimal': False, 'source_label': '775.2.k.c.126.1', 'source_level': 775, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014398543037377, 'target_is_minimal': False, 'target_label': '961.2.a.e.1.2', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '155.89', 'twisting_conrey_index': 89, 'weight': 2}
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id: 41186244
{'conductor': 155, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 126, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063559, 'source_is_minimal': False, 'source_label': '775.2.k.c.126.1', 'source_level': 775, 'target_conrey_index': 816, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007611605156801, 'target_is_minimal': False, 'target_label': '961.2.g.c.816.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '155.99', 'twisting_conrey_index': 99, 'weight': 2}
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id: 41186245
{'conductor': 155, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 126, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063559, 'source_is_minimal': False, 'source_label': '775.2.k.c.126.1', 'source_level': 775, 'target_conrey_index': 521, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510936354620353, 'target_is_minimal': False, 'target_label': '961.2.c.d.521.2', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '155.104', 'twisting_conrey_index': 104, 'weight': 2}
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id: 41186246
{'conductor': 155, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 126, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063559, 'source_is_minimal': False, 'source_label': '775.2.k.c.126.1', 'source_level': 775, 'target_conrey_index': 16, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206191984671, 'target_is_minimal': True, 'target_label': '31.2.d.a.16.1', 'target_level': 31, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '155.109', 'twisting_conrey_index': 109, 'weight': 2}
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id: 41186247
{'conductor': 155, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 126, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063559, 'source_is_minimal': False, 'source_label': '775.2.k.c.126.1', 'source_level': 775, 'target_conrey_index': 448, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022010114638785, 'target_is_minimal': False, 'target_label': '961.2.g.g.448.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '155.114', 'twisting_conrey_index': 114, 'weight': 2}
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id: 41186248
{'conductor': 155, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 126, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063559, 'source_is_minimal': False, 'source_label': '775.2.k.c.126.1', 'source_level': 775, 'target_conrey_index': 732, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007611605156801, 'target_is_minimal': False, 'target_label': '961.2.g.c.732.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '155.119', 'twisting_conrey_index': 119, 'weight': 2}
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id: 41186249
{'conductor': 155, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 126, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063559, 'source_is_minimal': False, 'source_label': '775.2.k.c.126.1', 'source_level': 775, 'target_conrey_index': 732, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977786305, 'target_is_minimal': False, 'target_label': '961.2.g.b.732.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '155.129', 'twisting_conrey_index': 129, 'weight': 2}
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id: 41186250
{'conductor': 155, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 126, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063559, 'source_is_minimal': False, 'source_label': '775.2.k.c.126.1', 'source_level': 775, 'target_conrey_index': 448, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518410487268289, 'target_is_minimal': False, 'target_label': '961.2.g.f.448.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '155.134', 'twisting_conrey_index': 134, 'weight': 2}
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id: 41186251
{'conductor': 155, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 126, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063559, 'source_is_minimal': False, 'source_label': '775.2.k.c.126.1', 'source_level': 775, 'target_conrey_index': 388, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503805819356097, 'target_is_minimal': False, 'target_label': '961.2.d.b.388.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '155.139', 'twisting_conrey_index': 139, 'weight': 2}
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id: 41186252
{'conductor': 155, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 126, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063559, 'source_is_minimal': False, 'source_label': '775.2.k.c.126.1', 'source_level': 775, 'target_conrey_index': 521, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518135609361345, 'target_is_minimal': False, 'target_label': '961.2.c.f.521.2', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '155.144', 'twisting_conrey_index': 144, 'weight': 2}
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id: 41186253
{'conductor': 155, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 126, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063559, 'source_is_minimal': False, 'source_label': '775.2.k.c.126.1', 'source_level': 775, 'target_conrey_index': 816, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977786305, 'target_is_minimal': False, 'target_label': '961.2.g.b.816.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '155.149', 'twisting_conrey_index': 149, 'weight': 2}
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id: 41186254
{'conductor': 155, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 126, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063559, 'source_is_minimal': False, 'source_label': '775.2.k.c.126.1', 'source_level': 775, 'target_conrey_index': 374, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503805819356097, 'target_is_minimal': False, 'target_label': '961.2.d.b.374.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '155.154', 'twisting_conrey_index': 154, 'weight': 2}
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id: 41186255
{'conductor': 465, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 126, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063559, 'source_is_minimal': False, 'source_label': '775.2.k.c.126.1', 'source_level': 775, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170415561, 'target_is_minimal': False, 'target_label': '8649.2.a.f.1.1', 'target_level': 8649, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '465.89', 'twisting_conrey_index': 89, 'weight': 2}
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id: 41186256
{'conductor': 465, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 126, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063559, 'source_is_minimal': False, 'source_label': '775.2.k.c.126.1', 'source_level': 775, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797786057, 'target_is_minimal': False, 'target_label': '8649.2.a.g.1.1', 'target_level': 8649, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '465.314', 'twisting_conrey_index': 314, 'weight': 2}
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id: 41186257
{'conductor': 465, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 126, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063559, 'source_is_minimal': False, 'source_label': '775.2.k.c.126.1', 'source_level': 775, 'target_conrey_index': 109, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 549789368599, 'target_is_minimal': False, 'target_label': '279.2.i.a.109.1', 'target_level': 279, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '465.419', 'twisting_conrey_index': 419, 'weight': 2}
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id: 41186258
{'conductor': 620, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 126, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007886483063559, 'source_is_minimal': False, 'source_label': '775.2.k.c.126.1', 'source_level': 775, 'target_conrey_index': 481, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504493014122992, 'target_is_minimal': False, 'target_label': '496.2.n.b.481.1', 'target_level': 496, 'twist_class_label': '31.2.d.a.2.1', 'twist_class_level': 31, 'twisting_char_label': '620.419', 'twisting_conrey_index': 419, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1313900
{'charpoly_factorization': [[[1, -2, 4, -3, 1], 1]], 'hecke_orbit_code': 9007886483063559, 'p': 2}
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id: 1313901
{'charpoly_factorization': [[[1, 1, 1, 1, 1], 1]], 'hecke_orbit_code': 9007886483063559, 'p': 3}
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id: 1313902
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007886483063559, 'p': 5}
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id: 1313903
{'charpoly_factorization': [[[81, -27, 9, -3, 1], 1]], 'hecke_orbit_code': 9007886483063559, 'p': 7}
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id: 1313904
{'charpoly_factorization': [[[16, -32, 24, 2, 1], 1]], 'hecke_orbit_code': 9007886483063559, 'p': 11}
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id: 1313905
{'charpoly_factorization': [[[81, 81, 36, 6, 1], 1]], 'hecke_orbit_code': 9007886483063559, 'p': 13}
-
id: 1313906
{'charpoly_factorization': [[[1, -7, 19, -3, 1], 1]], 'hecke_orbit_code': 9007886483063559, 'p': 17}
-
id: 1313907
{'charpoly_factorization': [[[625, 125, 25, 5, 1], 1]], 'hecke_orbit_code': 9007886483063559, 'p': 19}
-
id: 1313908
{'charpoly_factorization': [[[361, 171, 61, 11, 1], 1]], 'hecke_orbit_code': 9007886483063559, 'p': 23}
-
id: 1313909
{'charpoly_factorization': [[[3025, -550, 60, -5, 1], 1]], 'hecke_orbit_code': 9007886483063559, 'p': 29}
-
id: 1313910
{'charpoly_factorization': [[[961, 341, 61, 11, 1], 1]], 'hecke_orbit_code': 9007886483063559, 'p': 31}
-
id: 1313911
{'charpoly_factorization': [[[-1, -4, 1], 2]], 'hecke_orbit_code': 9007886483063559, 'p': 37}
-
id: 1313912
{'charpoly_factorization': [[[256, -192, 64, -8, 1], 1]], 'hecke_orbit_code': 9007886483063559, 'p': 41}
-
id: 1313913
{'charpoly_factorization': [[[121, 66, 16, 1, 1], 1]], 'hecke_orbit_code': 9007886483063559, 'p': 43}
-
id: 1313914
{'charpoly_factorization': [[[361, 38, 24, 7, 1], 1]], 'hecke_orbit_code': 9007886483063559, 'p': 47}
-
id: 1313915
{'charpoly_factorization': [[[81, 81, 171, 21, 1], 1]], 'hecke_orbit_code': 9007886483063559, 'p': 53}
-
id: 1313916
{'charpoly_factorization': [[[25, 75, 85, -5, 1], 1]], 'hecke_orbit_code': 9007886483063559, 'p': 59}
-
id: 1313917
{'charpoly_factorization': [[[-76, -4, 1], 2]], 'hecke_orbit_code': 9007886483063559, 'p': 61}
-
id: 1313918
{'charpoly_factorization': [[[-1, -4, 1], 2]], 'hecke_orbit_code': 9007886483063559, 'p': 67}
-
id: 1313919
{'charpoly_factorization': [[[1, 18, 124, 7, 1], 1]], 'hecke_orbit_code': 9007886483063559, 'p': 71}
-
id: 1313920
{'charpoly_factorization': [[[9801, 2376, 306, 21, 1], 1]], 'hecke_orbit_code': 9007886483063559, 'p': 73}
-
id: 1313921
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007886483063559, 'p': 79}
-
id: 1313922
{'charpoly_factorization': [[[841, -319, 96, -14, 1], 1]], 'hecke_orbit_code': 9007886483063559, 'p': 83}
-
id: 1313923
{'charpoly_factorization': [[[3025, -550, 60, -5, 1], 1]], 'hecke_orbit_code': 9007886483063559, 'p': 89}
-
id: 1313924
{'charpoly_factorization': [[[9801, 2673, 279, -3, 1], 1]], 'hecke_orbit_code': 9007886483063559, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 11, 'hecke_orbit': 3, 'label': '775.2.k.c', 'level': 775, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 31361425
{'hecke_orbit_code': 9007886483063559, 'n': 1, 'trace_an': 4}
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id: 31361426
{'hecke_orbit_code': 9007886483063559, 'n': 2, 'trace_an': 3}
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id: 31361427
{'hecke_orbit_code': 9007886483063559, 'n': 3, 'trace_an': -1}
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id: 31361428
{'hecke_orbit_code': 9007886483063559, 'n': 4, 'trace_an': 3}
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id: 31361429
{'hecke_orbit_code': 9007886483063559, 'n': 5, 'trace_an': 0}
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id: 31361430
{'hecke_orbit_code': 9007886483063559, 'n': 6, 'trace_an': -2}
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id: 31361431
{'hecke_orbit_code': 9007886483063559, 'n': 7, 'trace_an': 3}
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id: 31361432
{'hecke_orbit_code': 9007886483063559, 'n': 8, 'trace_an': 5}
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id: 31361433
{'hecke_orbit_code': 9007886483063559, 'n': 9, 'trace_an': 2}
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id: 31361434
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