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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': 16, 'field_disc': 4208972802978515625, 'field_disc_factorization': [[3, 8], [5, 12], [1621, 2]], 'field_poly': [1, 0, 44, 0, 410, 0, 956, 0, 979, 0, 511, 0, 140, 0, 19, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [81, 324, 459, -216, 576, 1062, 1656, 1797, 1957, 1468, 1011, 523, 246, 91, 29, 6, 1]], [3, [961, 3627, 7574, 6786, 3147, -2523, -5612, -2874, 836, 1434, 583, 48, -48, -21, -1, 3, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532808996750273, 'hecke_ring_generator_nbound': 3, '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, 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.j', '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.g.a', 'prim_orbit_index': 7, 'qexp_display': 'q+(-1-\\beta _{1}+\\beta _{3}-\\beta _{4}+\\beta _{5}+\\beta _{6}+\\cdots)q^{2}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c15', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '961.2.g', 'trace_display': [-6, -3, -3, -13], 'trace_hash': 621183707091258023, 'trace_moments': 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mf_hecke_cc • Show schema
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'embedding_root_imag': -1.1466019741129263, 'embedding_root_real': 0.0, 'hecke_orbit': 10, 'hecke_orbit_code': 40532808996750273, 'label': '961.2.g.j.846.1', '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: 46962360
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532808996750273, 'source_is_minimal': False, 'source_label': '961.2.g.j.846.1', 'source_level': 961, 'target_conrey_index': 846, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532808996750273, 'target_is_minimal': False, 'target_label': '961.2.g.j.846.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.1', 'twist_class_level': 31, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46962361
{'conductor': 31, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532808996750273, 'source_is_minimal': False, 'source_label': '961.2.g.j.846.1', 'source_level': 961, 'target_conrey_index': 439, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028934491472833, 'target_is_minimal': False, 'target_label': '961.2.c.i.439.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.1', 'twist_class_level': 31, 'twisting_char_label': '31.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46962362
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532808996750273, 'source_is_minimal': False, 'source_label': '961.2.g.j.846.1', 'source_level': 961, 'target_conrey_index': 732, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 81065205643084737, 'target_is_minimal': False, 'target_label': '961.2.g.s.732.2', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.1', 'twist_class_level': 31, 'twisting_char_label': '31.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46962363
{'conductor': 31, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532808996750273, 'source_is_minimal': False, 'source_label': '961.2.g.j.846.1', 'source_level': 961, 'target_conrey_index': 547, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49540008251491265, 'target_is_minimal': False, 'target_label': '961.2.g.l.547.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.1', 'twist_class_level': 31, 'twisting_char_label': '31.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46962364
{'conductor': 31, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532808996750273, 'source_is_minimal': False, 'source_label': '961.2.g.j.846.1', 'source_level': 961, 'target_conrey_index': 628, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58547001347802049, 'target_is_minimal': False, 'target_label': '961.2.d.n.628.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.1', 'twist_class_level': 31, 'twisting_char_label': '31.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46962365
{'conductor': 31, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532808996750273, 'source_is_minimal': False, 'source_label': '961.2.g.j.846.1', 'source_level': 961, 'target_conrey_index': 14, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350414879, 'target_is_minimal': True, 'target_label': '31.2.g.a.14.1', 'target_level': 31, 'twist_class_label': '31.2.g.a.14.1', 'twist_class_level': 31, 'twisting_char_label': '31.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 46962366
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532808996750273, 'source_is_minimal': False, 'source_label': '961.2.g.j.846.1', 'source_level': 961, 'target_conrey_index': 844, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532808996750273, 'target_is_minimal': False, 'target_label': '961.2.g.j.844.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.1', 'twist_class_level': 31, 'twisting_char_label': '31.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 46962367
{'conductor': 31, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532808996750273, 'source_is_minimal': False, 'source_label': '961.2.g.j.846.1', 'source_level': 961, 'target_conrey_index': 235, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043607878861761, 'target_is_minimal': False, 'target_label': '961.2.g.m.235.2', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.1', 'twist_class_level': 31, 'twisting_char_label': '31.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 46962368
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532808996750273, 'source_is_minimal': False, 'source_label': '961.2.g.j.846.1', 'source_level': 961, 'target_conrey_index': 388, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 72057800229913537, 'target_is_minimal': False, 'target_label': '961.2.d.q.388.4', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.1', 'twist_class_level': 31, 'twisting_char_label': '31.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 46962369
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532808996750273, 'source_is_minimal': False, 'source_label': '961.2.g.j.846.1', 'source_level': 961, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396679889857, 'target_is_minimal': False, 'target_label': '961.2.a.j.1.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.1', 'twist_class_level': 31, 'twisting_char_label': '31.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 46962370
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532808996750273, 'source_is_minimal': False, 'source_label': '961.2.g.j.846.1', 'source_level': 961, 'target_conrey_index': 531, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050600975172545, 'target_is_minimal': False, 'target_label': '961.2.d.o.531.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.1', 'twist_class_level': 31, 'twisting_char_label': '31.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46962371
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532808996750273, 'source_is_minimal': False, 'source_label': '961.2.g.j.846.1', 'source_level': 961, 'target_conrey_index': 521, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532534118843329, 'target_is_minimal': False, 'target_label': '961.2.c.j.521.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.1', 'twist_class_level': 31, 'twisting_char_label': '31.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 46962372
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532808996750273, 'source_is_minimal': False, 'source_label': '961.2.g.j.846.1', 'source_level': 961, 'target_conrey_index': 374, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 67554200602543041, 'target_is_minimal': False, 'target_label': '961.2.d.p.374.4', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.1', 'twist_class_level': 31, 'twisting_char_label': '31.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 46962373
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532808996750273, 'source_is_minimal': False, 'source_label': '961.2.g.j.846.1', 'source_level': 961, 'target_conrey_index': 338, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58547207506232257, 'target_is_minimal': False, 'target_label': '961.2.g.n.338.2', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.1', 'twist_class_level': 31, 'twisting_char_label': '31.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 46962374
{'conductor': 31, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532808996750273, 'source_is_minimal': False, 'source_label': '961.2.g.j.846.1', 'source_level': 961, 'target_conrey_index': 816, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 85568805270455233, 'target_is_minimal': False, 'target_label': '961.2.g.t.816.2', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.1', 'twist_class_level': 31, 'twisting_char_label': '31.15', 'twisting_conrey_index': 15, 'weight': 2}
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id: 46962375
{'conductor': 31, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532808996750273, 'source_is_minimal': False, 'source_label': '961.2.g.j.846.1', 'source_level': 961, 'target_conrey_index': 816, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58547207506232257, 'target_is_minimal': False, 'target_label': '961.2.g.n.816.2', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.1', 'twist_class_level': 31, 'twisting_char_label': '31.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 46962376
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532808996750273, 'source_is_minimal': False, 'source_label': '961.2.g.j.846.1', 'source_level': 961, 'target_conrey_index': 338, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 85568805270455233, 'target_is_minimal': False, 'target_label': '961.2.g.t.338.2', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.1', 'twist_class_level': 31, 'twisting_char_label': '31.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 46962377
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532808996750273, 'source_is_minimal': False, 'source_label': '961.2.g.j.846.1', 'source_level': 961, 'target_conrey_index': 374, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 72057800229913537, 'target_is_minimal': False, 'target_label': '961.2.d.q.374.4', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.1', 'twist_class_level': 31, 'twisting_char_label': '31.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 46962378
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532808996750273, 'source_is_minimal': False, 'source_label': '961.2.g.j.846.1', 'source_level': 961, 'target_conrey_index': 521, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028934491472833, 'target_is_minimal': False, 'target_label': '961.2.c.i.521.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.1', 'twist_class_level': 31, 'twisting_char_label': '31.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 46962379
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532808996750273, 'source_is_minimal': False, 'source_label': '961.2.g.j.846.1', 'source_level': 961, 'target_conrey_index': 531, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58547001347802049, 'target_is_minimal': False, 'target_label': '961.2.d.n.531.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.1', 'twist_class_level': 31, 'twisting_char_label': '31.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 46962380
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532808996750273, 'source_is_minimal': False, 'source_label': '961.2.g.j.846.1', 'source_level': 961, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028797052519361, 'target_is_minimal': False, 'target_label': '961.2.a.i.1.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.1', 'twist_class_level': 31, 'twisting_char_label': '31.21', 'twisting_conrey_index': 21, 'weight': 2}
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id: 46962381
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532808996750273, 'source_is_minimal': False, 'source_label': '961.2.g.j.846.1', 'source_level': 961, 'target_conrey_index': 388, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 67554200602543041, 'target_is_minimal': False, 'target_label': '961.2.d.p.388.4', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.1', 'twist_class_level': 31, 'twisting_char_label': '31.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 46962382
{'conductor': 31, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532808996750273, 'source_is_minimal': False, 'source_label': '961.2.g.j.846.1', 'source_level': 961, 'target_conrey_index': 235, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 81065205643084737, 'target_is_minimal': False, 'target_label': '961.2.g.s.235.2', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.1', 'twist_class_level': 31, 'twisting_char_label': '31.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 46962383
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532808996750273, 'source_is_minimal': False, 'source_label': '961.2.g.j.846.1', 'source_level': 961, 'target_conrey_index': 844, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036408624120769, 'target_is_minimal': False, 'target_label': '961.2.g.k.844.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.1', 'twist_class_level': 31, 'twisting_char_label': '31.24', 'twisting_conrey_index': 24, 'weight': 2}
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id: 46962384
{'conductor': 31, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532808996750273, 'source_is_minimal': False, 'source_label': '961.2.g.j.846.1', 'source_level': 961, 'target_conrey_index': 448, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49540008251491265, 'target_is_minimal': False, 'target_label': '961.2.g.l.448.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.1', 'twist_class_level': 31, 'twisting_char_label': '31.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 46962385
{'conductor': 31, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532808996750273, 'source_is_minimal': False, 'source_label': '961.2.g.j.846.1', 'source_level': 961, 'target_conrey_index': 628, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050600975172545, 'target_is_minimal': False, 'target_label': '961.2.d.o.628.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.1', 'twist_class_level': 31, 'twisting_char_label': '31.26', 'twisting_conrey_index': 26, 'weight': 2}
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id: 46962386
{'conductor': 31, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532808996750273, 'source_is_minimal': False, 'source_label': '961.2.g.j.846.1', 'source_level': 961, 'target_conrey_index': 20, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350414879, 'target_is_minimal': True, 'target_label': '31.2.g.a.20.1', 'target_level': 31, 'twist_class_label': '31.2.g.a.14.1', 'twist_class_level': 31, 'twisting_char_label': '31.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 46962387
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532808996750273, 'source_is_minimal': False, 'source_label': '961.2.g.j.846.1', 'source_level': 961, 'target_conrey_index': 732, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043607878861761, 'target_is_minimal': False, 'target_label': '961.2.g.m.732.2', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.1', 'twist_class_level': 31, 'twisting_char_label': '31.28', 'twisting_conrey_index': 28, 'weight': 2}
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id: 46962388
{'conductor': 31, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532808996750273, 'source_is_minimal': False, 'source_label': '961.2.g.j.846.1', 'source_level': 961, 'target_conrey_index': 439, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532534118843329, 'target_is_minimal': False, 'target_label': '961.2.c.j.439.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.1', 'twist_class_level': 31, 'twisting_char_label': '31.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 46962389
{'conductor': 31, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532808996750273, 'source_is_minimal': False, 'source_label': '961.2.g.j.846.1', 'source_level': 961, 'target_conrey_index': 846, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036408624120769, 'target_is_minimal': False, 'target_label': '961.2.g.k.846.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.14.1', 'twist_class_level': 31, 'twisting_char_label': '31.30', 'twisting_conrey_index': 30, 'weight': 2}
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id: 46962390
{'conductor': 93, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532808996750273, 'source_is_minimal': False, 'source_label': '961.2.g.j.846.1', 'source_level': 961, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 135107988854677961, 'target_is_minimal': False, 'target_label': '8649.2.a.be.1.8', 'target_level': 8649, 'twist_class_label': '31.2.g.a.14.1', 'twist_class_level': 31, 'twisting_char_label': '93.41', 'twisting_conrey_index': 41, 'weight': 2}
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id: 46962391
{'conductor': 93, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532808996750273, 'source_is_minimal': False, 'source_label': '961.2.g.j.846.1', 'source_level': 961, 'target_conrey_index': 262, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008848555737367, 'target_is_minimal': False, 'target_label': '279.2.y.c.262.2', 'target_level': 279, 'twist_class_label': '31.2.g.a.14.1', 'twist_class_level': 31, 'twisting_char_label': '93.68', 'twisting_conrey_index': 68, 'weight': 2}
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id: 46962392
{'conductor': 93, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532808996750273, 'source_is_minimal': False, 'source_label': '961.2.g.j.846.1', 'source_level': 961, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 139611588482048457, 'target_is_minimal': False, 'target_label': '8649.2.a.bf.1.8', 'target_level': 8649, 'twist_class_label': '31.2.g.a.14.1', 'twist_class_level': 31, 'twisting_char_label': '93.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 46962393
{'conductor': 93, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532808996750273, 'source_is_minimal': False, 'source_label': '961.2.g.j.846.1', 'source_level': 961, 'target_conrey_index': 82, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008848555737367, 'target_is_minimal': False, 'target_label': '279.2.y.c.82.2', 'target_level': 279, 'twist_class_label': '31.2.g.a.14.1', 'twist_class_level': 31, 'twisting_char_label': '93.89', 'twisting_conrey_index': 89, 'weight': 2}
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id: 46962394
{'conductor': 124, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532808996750273, 'source_is_minimal': False, 'source_label': '961.2.g.j.846.1', 'source_level': 961, 'target_conrey_index': 113, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9009398311551472, 'target_is_minimal': False, 'target_label': '496.2.bg.c.113.1', 'target_level': 496, 'twist_class_label': '31.2.g.a.14.1', 'twist_class_level': 31, 'twisting_char_label': '124.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 46962395
{'conductor': 124, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532808996750273, 'source_is_minimal': False, 'source_label': '961.2.g.j.846.1', 'source_level': 961, 'target_conrey_index': 417, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9009398311551472, 'target_is_minimal': False, 'target_label': '496.2.bg.c.417.1', 'target_level': 496, 'twist_class_label': '31.2.g.a.14.1', 'twist_class_level': 31, 'twisting_char_label': '124.99', 'twisting_conrey_index': 99, 'weight': 2}
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id: 46962396
{'conductor': 155, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532808996750273, 'source_is_minimal': False, 'source_label': '961.2.g.j.846.1', 'source_level': 961, 'target_conrey_index': 299, 'target_dim': 32, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4260641112839, 'target_is_minimal': False, 'target_label': '775.2.ck.a.299.4', 'target_level': 775, 'twist_class_label': '31.2.g.a.14.1', 'twist_class_level': 31, 'twisting_char_label': '155.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 46962397
{'conductor': 155, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532808996750273, 'source_is_minimal': False, 'source_label': '961.2.g.j.846.1', 'source_level': 961, 'target_conrey_index': 324, 'target_dim': 32, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4260641112839, 'target_is_minimal': False, 'target_label': '775.2.ck.a.324.1', 'target_level': 775, 'twist_class_label': '31.2.g.a.14.1', 'twist_class_level': 31, 'twisting_char_label': '155.37', 'twisting_conrey_index': 37, 'weight': 2}
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id: 46962398
{'conductor': 155, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532808996750273, 'source_is_minimal': False, 'source_label': '961.2.g.j.846.1', 'source_level': 961, 'target_conrey_index': 299, 'target_dim': 32, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4260641112839, 'target_is_minimal': False, 'target_label': '775.2.ck.a.299.1', 'target_level': 775, 'twist_class_label': '31.2.g.a.14.1', 'twist_class_level': 31, 'twisting_char_label': '155.58', 'twisting_conrey_index': 58, 'weight': 2}
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id: 46962399
{'conductor': 155, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532808996750273, 'source_is_minimal': False, 'source_label': '961.2.g.j.846.1', 'source_level': 961, 'target_conrey_index': 324, 'target_dim': 32, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4260641112839, 'target_is_minimal': False, 'target_label': '775.2.ck.a.324.4', 'target_level': 775, 'twist_class_label': '31.2.g.a.14.1', 'twist_class_level': 31, 'twisting_char_label': '155.68', 'twisting_conrey_index': 68, 'weight': 2}
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id: 46962400
{'conductor': 155, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532808996750273, 'source_is_minimal': False, 'source_label': '961.2.g.j.846.1', 'source_level': 961, 'target_conrey_index': 51, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 2542654194439, 'target_is_minimal': False, 'target_label': '775.2.bl.a.51.2', 'target_level': 775, 'twist_class_label': '31.2.g.a.14.1', 'twist_class_level': 31, 'twisting_char_label': '155.89', 'twisting_conrey_index': 89, 'weight': 2}
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id: 46962401
{'conductor': 155, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532808996750273, 'source_is_minimal': False, 'source_label': '961.2.g.j.846.1', 'source_level': 961, 'target_conrey_index': 76, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 2542654194439, 'target_is_minimal': False, 'target_label': '775.2.bl.a.76.2', 'target_level': 775, 'twist_class_label': '31.2.g.a.14.1', 'twist_class_level': 31, 'twisting_char_label': '155.99', 'twisting_conrey_index': 99, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1541525
{'charpoly_factorization': [[[81, 324, 459, -216, 576, 1062, 1656, 1797, 1957, 1468, 1011, 523, 246, 91, 29, 6, 1], 1]], 'hecke_orbit_code': 40532808996750273, 'p': 2}
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id: 1541526
{'charpoly_factorization': [[[961, 3627, 7574, 6786, 3147, -2523, -5612, -2874, 836, 1434, 583, 48, -48, -21, -1, 3, 1], 1]], 'hecke_orbit_code': 40532808996750273, 'p': 3}
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id: 1541527
{'charpoly_factorization': [[[77841, 170748, 358641, 264222, 286866, 136584, 145524, 52026, 36937, 9366, 5944, 1239, 576, 72, 31, 3, 1], 1]], 'hecke_orbit_code': 40532808996750273, 'p': 5}
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id: 1541528
{'charpoly_factorization': [[[68121, 406377, 1079379, 1687446, 1729062, 1234512, 666198, 317526, 153931, 71529, 28343, 9403, 2607, 574, 99, 13, 1], 1]], 'hecke_orbit_code': 40532808996750273, 'p': 7}
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id: 1541529
{'charpoly_factorization': [[[77841, 241056, 326052, 175500, -22725, -47061, -29169, -3870, 29194, 1030, -3941, 887, 60, -65, 28, -7, 1], 1]], 'hecke_orbit_code': 40532808996750273, 'p': 11}
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id: 1541530
{'charpoly_factorization': [[[77841, -160704, 2837187, -2251665, 132930, 528084, -163119, -22335, 20779, -1455, 389, 512, -30, -85, 3, 8, 1], 1]], 'hecke_orbit_code': 40532808996750273, 'p': 13}
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id: 1541531
{'charpoly_factorization': [[[74805201, 166501899, 188842266, 135689418, 71902737, 30891924, 9603582, 1948893, 336811, 34033, 7842, 5974, 762, -242, -19, 9, 1], 1]], 'hecke_orbit_code': 40532808996750273, 'p': 17}
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id: 1541532
{'charpoly_factorization': [[[361201, 878662, 1320923, 629495, 361770, -267602, -466346, -280375, -42311, 66455, 68161, 35921, 12095, 2655, 367, 29, 1], 1]], 'hecke_orbit_code': 40532808996750273, 'p': 19}
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id: 1541533
{'charpoly_factorization': [[[77841, 27621, 221130, 482760, 561960, -1177317, 991968, 599310, 258445, 91020, 37718, 7723, 1680, 310, 60, 1, 1], 1]], 'hecke_orbit_code': 40532808996750273, 'p': 23}
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id: 1541534
{'charpoly_factorization': [[[77841, 883872, 3623319, -4318758, 5548428, -3992868, 3122946, -1365609, 707773, -2848, 13939, -12869, 5748, -1141, 181, -14, 1], 1]], 'hecke_orbit_code': 40532808996750273, 'p': 29}
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id: 1541535
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 40532808996750273, 'p': 31}
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id: 1541536
{'charpoly_factorization': [[[344807761, -1215563878, 4527747446, 158428158, 1409594951, -346528319, 277619329, -46820571, 20869117, -3571101, 1088869, -128479, 20471, -1242, 176, -8, 1], 1]], 'hecke_orbit_code': 40532808996750273, 'p': 37}
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id: 1541537
{'charpoly_factorization': [[[81, -2268, 24624, -134919, 434277, -857403, 1095573, -1072269, 963901, 95754, -26527, -14017, -258, 194, 39, 8, 1], 1]], 'hecke_orbit_code': 40532808996750273, 'p': 41}
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id: 1541538
{'charpoly_factorization': [[[7612081, 86698816, 408350432, 820825070, 198354755, -1554140191, 1454240841, -719828240, 229067964, -51436930, 8771259, -1195013, 131150, -11345, 758, -37, 1], 1]], 'hecke_orbit_code': 40532808996750273, 'p': 43}
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id: 1541539
{'charpoly_factorization': [[[3306365001, -4369845996, 3685168494, -2392720506, 3315570876, -162124668, 239117571, -22382208, 7964842, -794482, 189676, -31622, 6981, -769, 124, -14, 1], 1]], 'hecke_orbit_code': 40532808996750273, 'p': 47}
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id: 1541540
{'charpoly_factorization': [[[366207732801, -142591124979, 27004120281, -8935850178, -3255234318, 2297923911, 257056092, -406932903, 112402161, -12200058, -59643, 117396, -4518, -873, 111, -9, 1], 1]], 'hecke_orbit_code': 40532808996750273, 'p': 53}
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id: 1541541
{'charpoly_factorization': [[[167728401, 904031604, 1906757739, 2365077609, 2293641531, 1249037622, 332020056, -5829063, -20786108, -1690872, 627866, -35257, 1431, 146, 24, 11, 1], 1]], 'hecke_orbit_code': 40532808996750273, 'p': 59}
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id: 1541542
{'charpoly_factorization': [[[38161, -31425, -7053, 11295, -1591, -855, 288, -30, 1], 2]], 'hecke_orbit_code': 40532808996750273, 'p': 61}
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id: 1541543
{'charpoly_factorization': [[[7485883441, 12302334469, 24095669462, -825845775, 6283805060, 619634861, 968412901, -3609120, 44237164, -1954980, 1582339, -90377, 25715, -1215, 278, -13, 1], 1]], 'hecke_orbit_code': 40532808996750273, 'p': 67}
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id: 1541544
{'charpoly_factorization': [[[214944921, -394659459, 291203424, 27483786, -145193229, 45759708, 55930626, -63014607, 31445917, -10096983, 2370206, -425548, 58311, -6106, 504, -31, 1], 1]], 'hecke_orbit_code': 40532808996750273, 'p': 71}
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id: 1541545
{'charpoly_factorization': [[[17441907675201, 4577401810179, -95938468578, -562960404450, 50231278395, 26622804906, -1716543924, -198643665, 128305204, 1621995, 823229, 339563, -12795, -1810, 63, -13, 1], 1]], 'hecke_orbit_code': 40532808996750273, 'p': 73}
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id: 1541546
{'charpoly_factorization': [[[84609661119201, 26215907441166, -4778647549938, -2167208349030, -60607608120, 54665819064, 7010990946, -391323540, 197551669, -24818960, 758034, 48682, -2055, 1060, 83, -12, 1], 1]], 'hecke_orbit_code': 40532808996750273, 'p': 79}
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id: 1541547
{'charpoly_factorization': [[[1446653267361, 8511862705641, 16104221310969, 5123388163401, 2366561584566, 715940330823, 71601770421, 3484713828, 1397857852, 200837242, 13366996, 1120982, 121161, 10144, 799, 44, 1], 1]], 'hecke_orbit_code': 40532808996750273, 'p': 83}
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id: 1541548
{'charpoly_factorization': [[[117957215601, -14623714971, 36524826639, -4144588911, 5138578341, -954917388, 364745286, -148772748, 75648667, -21636982, 4432966, -472472, 22521, 1181, 109, 1, 1], 1]], 'hecke_orbit_code': 40532808996750273, 'p': 89}
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id: 1541549
{'charpoly_factorization': [[[7131992195241, -8735669543583, 4668327599346, -577151681967, 314343923886, 27069810066, 14261276064, 923423649, 128632882, -6270766, 4350864, 145946, 27081, 1913, 281, -3, 1], 1]], 'hecke_orbit_code': 40532808996750273, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 10, 'label': '961.2.g.j', 'level': 961, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 53925073
{'hecke_orbit_code': 40532808996750273, 'n': 1, 'trace_an': 16}
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id: 53925074
{'hecke_orbit_code': 40532808996750273, 'n': 2, 'trace_an': -6}
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id: 53925075
{'hecke_orbit_code': 40532808996750273, 'n': 3, 'trace_an': -3}
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id: 53925076
{'hecke_orbit_code': 40532808996750273, 'n': 4, 'trace_an': -14}
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id: 53925077
{'hecke_orbit_code': 40532808996750273, 'n': 5, 'trace_an': -3}
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id: 53925078
{'hecke_orbit_code': 40532808996750273, 'n': 6, 'trace_an': -11}
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id: 53925079
{'hecke_orbit_code': 40532808996750273, 'n': 7, 'trace_an': -13}
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id: 53925080
{'hecke_orbit_code': 40532808996750273, 'n': 8, 'trace_an': 17}
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id: 53925081
{'hecke_orbit_code': 40532808996750273, 'n': 9, 'trace_an': 5}
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id: 53925082
{'hecke_orbit_code': 40532808996750273, 'n': 10, 'trace_an': -17}
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id: 53925083
{'hecke_orbit_code': 40532808996750273, 'n': 11, 'trace_an': 7}
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id: 53925084
{'hecke_orbit_code': 40532808996750273, 'n': 12, 'trace_an': 10}
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id: 53925085
{'hecke_orbit_code': 40532808996750273, 'n': 13, 'trace_an': -8}
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id: 53925086
{'hecke_orbit_code': 40532808996750273, 'n': 14, 'trace_an': -21}
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id: 53925087
{'hecke_orbit_code': 40532808996750273, 'n': 15, 'trace_an': -14}
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id: 53925088
{'hecke_orbit_code': 40532808996750273, 'n': 16, 'trace_an': -2}
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id: 53925089
{'hecke_orbit_code': 40532808996750273, 'n': 17, 'trace_an': -9}
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id: 53925090
{'hecke_orbit_code': 40532808996750273, 'n': 18, 'trace_an': 12}
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id: 53925091
{'hecke_orbit_code': 40532808996750273, 'n': 19, 'trace_an': -29}
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id: 53925092
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