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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, -7068, 21989, -38859, 45837, -41628, 33043, -24459, 17306, -11361, 6433, -2967, 1092, -321, 74, -12, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49540008251491265, '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.l', '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, 12, -3, 2], 'trace_hash': 1824147278528594670, 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mf_hecke_cc • Show schema
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'embedding_index': 1, 'embedding_m': 15, 'embedding_root_imag': 2.165435987698282, 'embedding_root_real': 0.0, 'hecke_orbit': 12, 'hecke_orbit_code': 49540008251491265, 'label': '961.2.g.l.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
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id: 47412242
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540008251491265, 'source_is_minimal': False, 'source_label': '961.2.g.l.846.1', 'source_level': 961, 'target_conrey_index': 846, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49540008251491265, 'target_is_minimal': False, 'target_label': '961.2.g.l.846.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.7.1', 'twist_class_level': 31, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47412243
{'conductor': 31, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540008251491265, 'source_is_minimal': False, 'source_label': '961.2.g.l.846.1', 'source_level': 961, 'target_conrey_index': 439, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36028934491472833, 'target_is_minimal': False, 'target_label': '961.2.c.i.439.2', 'target_level': 961, 'twist_class_label': '31.2.g.a.7.1', 'twist_class_level': 31, 'twisting_char_label': '31.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47412244
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540008251491265, 'source_is_minimal': False, 'source_label': '961.2.g.l.846.1', 'source_level': 961, 'target_conrey_index': 732, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 85568805270455233, 'target_is_minimal': False, 'target_label': '961.2.g.t.732.2', 'target_level': 961, 'twist_class_label': '31.2.g.a.7.1', 'twist_class_level': 31, 'twisting_char_label': '31.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47412245
{'conductor': 31, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540008251491265, 'source_is_minimal': False, 'source_label': '961.2.g.l.846.1', 'source_level': 961, 'target_conrey_index': 547, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532808996750273, 'target_is_minimal': False, 'target_label': '961.2.g.j.547.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.7.1', 'twist_class_level': 31, 'twisting_char_label': '31.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47412246
{'conductor': 31, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540008251491265, 'source_is_minimal': False, 'source_label': '961.2.g.l.846.1', 'source_level': 961, 'target_conrey_index': 628, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58547001347802049, 'target_is_minimal': False, 'target_label': '961.2.d.n.628.2', 'target_level': 961, 'twist_class_label': '31.2.g.a.7.1', 'twist_class_level': 31, 'twisting_char_label': '31.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 47412247
{'conductor': 31, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540008251491265, 'source_is_minimal': False, 'source_label': '961.2.g.l.846.1', 'source_level': 961, 'target_conrey_index': 448, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036408624120769, 'target_is_minimal': False, 'target_label': '961.2.g.k.448.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.7.1', 'twist_class_level': 31, 'twisting_char_label': '31.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 47412248
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540008251491265, 'source_is_minimal': False, 'source_label': '961.2.g.l.846.1', 'source_level': 961, 'target_conrey_index': 844, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49540008251491265, 'target_is_minimal': False, 'target_label': '961.2.g.l.844.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.7.1', 'twist_class_level': 31, 'twisting_char_label': '31.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 47412249
{'conductor': 31, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540008251491265, 'source_is_minimal': False, 'source_label': '961.2.g.l.846.1', 'source_level': 961, 'target_conrey_index': 235, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58547207506232257, 'target_is_minimal': False, 'target_label': '961.2.g.n.235.2', 'target_level': 961, 'twist_class_label': '31.2.g.a.7.1', 'twist_class_level': 31, 'twisting_char_label': '31.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 47412250
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540008251491265, 'source_is_minimal': False, 'source_label': '961.2.g.l.846.1', 'source_level': 961, 'target_conrey_index': 388, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 72057800229913537, 'target_is_minimal': False, 'target_label': '961.2.d.q.388.3', 'target_level': 961, 'twist_class_label': '31.2.g.a.7.1', 'twist_class_level': 31, 'twisting_char_label': '31.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 47412251
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540008251491265, 'source_is_minimal': False, 'source_label': '961.2.g.l.846.1', 'source_level': 961, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532396679889857, 'target_is_minimal': False, 'target_label': '961.2.a.j.1.2', 'target_level': 961, 'twist_class_label': '31.2.g.a.7.1', 'twist_class_level': 31, 'twisting_char_label': '31.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 47412252
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540008251491265, 'source_is_minimal': False, 'source_label': '961.2.g.l.846.1', 'source_level': 961, 'target_conrey_index': 531, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050600975172545, 'target_is_minimal': False, 'target_label': '961.2.d.o.531.2', 'target_level': 961, 'twist_class_label': '31.2.g.a.7.1', 'twist_class_level': 31, 'twisting_char_label': '31.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47412253
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540008251491265, 'source_is_minimal': False, 'source_label': '961.2.g.l.846.1', 'source_level': 961, 'target_conrey_index': 521, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532534118843329, 'target_is_minimal': False, 'target_label': '961.2.c.j.521.2', 'target_level': 961, 'twist_class_label': '31.2.g.a.7.1', 'twist_class_level': 31, 'twisting_char_label': '31.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 47412254
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540008251491265, 'source_is_minimal': False, 'source_label': '961.2.g.l.846.1', 'source_level': 961, 'target_conrey_index': 374, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 67554200602543041, 'target_is_minimal': False, 'target_label': '961.2.d.p.374.3', 'target_level': 961, 'twist_class_label': '31.2.g.a.7.1', 'twist_class_level': 31, 'twisting_char_label': '31.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 47412255
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540008251491265, 'source_is_minimal': False, 'source_label': '961.2.g.l.846.1', 'source_level': 961, 'target_conrey_index': 338, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043607878861761, 'target_is_minimal': False, 'target_label': '961.2.g.m.338.2', 'target_level': 961, 'twist_class_label': '31.2.g.a.7.1', 'twist_class_level': 31, 'twisting_char_label': '31.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 47412256
{'conductor': 31, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540008251491265, 'source_is_minimal': False, 'source_label': '961.2.g.l.846.1', 'source_level': 961, 'target_conrey_index': 816, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 81065205643084737, 'target_is_minimal': False, 'target_label': '961.2.g.s.816.2', 'target_level': 961, 'twist_class_label': '31.2.g.a.7.1', 'twist_class_level': 31, 'twisting_char_label': '31.15', 'twisting_conrey_index': 15, 'weight': 2}
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id: 47412257
{'conductor': 31, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540008251491265, 'source_is_minimal': False, 'source_label': '961.2.g.l.846.1', 'source_level': 961, 'target_conrey_index': 816, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043607878861761, 'target_is_minimal': False, 'target_label': '961.2.g.m.816.2', 'target_level': 961, 'twist_class_label': '31.2.g.a.7.1', 'twist_class_level': 31, 'twisting_char_label': '31.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 47412258
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540008251491265, 'source_is_minimal': False, 'source_label': '961.2.g.l.846.1', 'source_level': 961, 'target_conrey_index': 338, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 81065205643084737, 'target_is_minimal': False, 'target_label': '961.2.g.s.338.2', 'target_level': 961, 'twist_class_label': '31.2.g.a.7.1', 'twist_class_level': 31, 'twisting_char_label': '31.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 47412259
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540008251491265, 'source_is_minimal': False, 'source_label': '961.2.g.l.846.1', 'source_level': 961, 'target_conrey_index': 374, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 72057800229913537, 'target_is_minimal': False, 'target_label': '961.2.d.q.374.3', 'target_level': 961, 'twist_class_label': '31.2.g.a.7.1', 'twist_class_level': 31, 'twisting_char_label': '31.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 47412260
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540008251491265, 'source_is_minimal': False, 'source_label': '961.2.g.l.846.1', 'source_level': 961, 'target_conrey_index': 521, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36028934491472833, 'target_is_minimal': False, 'target_label': '961.2.c.i.521.2', 'target_level': 961, 'twist_class_label': '31.2.g.a.7.1', 'twist_class_level': 31, 'twisting_char_label': '31.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 47412261
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540008251491265, 'source_is_minimal': False, 'source_label': '961.2.g.l.846.1', 'source_level': 961, 'target_conrey_index': 531, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58547001347802049, 'target_is_minimal': False, 'target_label': '961.2.d.n.531.2', 'target_level': 961, 'twist_class_label': '31.2.g.a.7.1', 'twist_class_level': 31, 'twisting_char_label': '31.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 47412262
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540008251491265, 'source_is_minimal': False, 'source_label': '961.2.g.l.846.1', 'source_level': 961, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36028797052519361, 'target_is_minimal': False, 'target_label': '961.2.a.i.1.2', 'target_level': 961, 'twist_class_label': '31.2.g.a.7.1', 'twist_class_level': 31, 'twisting_char_label': '31.21', 'twisting_conrey_index': 21, 'weight': 2}
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id: 47412263
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540008251491265, 'source_is_minimal': False, 'source_label': '961.2.g.l.846.1', 'source_level': 961, 'target_conrey_index': 388, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 67554200602543041, 'target_is_minimal': False, 'target_label': '961.2.d.p.388.3', 'target_level': 961, 'twist_class_label': '31.2.g.a.7.1', 'twist_class_level': 31, 'twisting_char_label': '31.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 47412264
{'conductor': 31, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540008251491265, 'source_is_minimal': False, 'source_label': '961.2.g.l.846.1', 'source_level': 961, 'target_conrey_index': 235, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 85568805270455233, 'target_is_minimal': False, 'target_label': '961.2.g.t.235.2', 'target_level': 961, 'twist_class_label': '31.2.g.a.7.1', 'twist_class_level': 31, 'twisting_char_label': '31.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 47412265
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540008251491265, 'source_is_minimal': False, 'source_label': '961.2.g.l.846.1', 'source_level': 961, 'target_conrey_index': 7, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350414879, 'target_is_minimal': True, 'target_label': '31.2.g.a.7.1', 'target_level': 31, 'twist_class_label': '31.2.g.a.7.1', 'twist_class_level': 31, 'twisting_char_label': '31.24', 'twisting_conrey_index': 24, 'weight': 2}
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id: 47412266
{'conductor': 31, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540008251491265, 'source_is_minimal': False, 'source_label': '961.2.g.l.846.1', 'source_level': 961, 'target_conrey_index': 448, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532808996750273, 'target_is_minimal': False, 'target_label': '961.2.g.j.448.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.7.1', 'twist_class_level': 31, 'twisting_char_label': '31.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 47412267
{'conductor': 31, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540008251491265, 'source_is_minimal': False, 'source_label': '961.2.g.l.846.1', 'source_level': 961, 'target_conrey_index': 628, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050600975172545, 'target_is_minimal': False, 'target_label': '961.2.d.o.628.2', 'target_level': 961, 'twist_class_label': '31.2.g.a.7.1', 'twist_class_level': 31, 'twisting_char_label': '31.26', 'twisting_conrey_index': 26, 'weight': 2}
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id: 47412268
{'conductor': 31, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540008251491265, 'source_is_minimal': False, 'source_label': '961.2.g.l.846.1', 'source_level': 961, 'target_conrey_index': 547, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036408624120769, 'target_is_minimal': False, 'target_label': '961.2.g.k.547.1', 'target_level': 961, 'twist_class_label': '31.2.g.a.7.1', 'twist_class_level': 31, 'twisting_char_label': '31.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 47412269
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540008251491265, 'source_is_minimal': False, 'source_label': '961.2.g.l.846.1', 'source_level': 961, 'target_conrey_index': 732, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58547207506232257, 'target_is_minimal': False, 'target_label': '961.2.g.n.732.2', 'target_level': 961, 'twist_class_label': '31.2.g.a.7.1', 'twist_class_level': 31, 'twisting_char_label': '31.28', 'twisting_conrey_index': 28, 'weight': 2}
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id: 47412270
{'conductor': 31, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540008251491265, 'source_is_minimal': False, 'source_label': '961.2.g.l.846.1', 'source_level': 961, 'target_conrey_index': 439, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532534118843329, 'target_is_minimal': False, 'target_label': '961.2.c.j.439.2', 'target_level': 961, 'twist_class_label': '31.2.g.a.7.1', 'twist_class_level': 31, 'twisting_char_label': '31.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 47412271
{'conductor': 31, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540008251491265, 'source_is_minimal': False, 'source_label': '961.2.g.l.846.1', 'source_level': 961, 'target_conrey_index': 9, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350414879, 'target_is_minimal': True, 'target_label': '31.2.g.a.9.1', 'target_level': 31, 'twist_class_label': '31.2.g.a.7.1', 'twist_class_level': 31, 'twisting_char_label': '31.30', 'twisting_conrey_index': 30, 'weight': 2}
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id: 47412272
{'conductor': 93, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540008251491265, 'source_is_minimal': False, 'source_label': '961.2.g.l.846.1', 'source_level': 961, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 135107988854677961, 'target_is_minimal': False, 'target_label': '8649.2.a.be.1.7', 'target_level': 8649, 'twist_class_label': '31.2.g.a.7.1', 'twist_class_level': 31, 'twisting_char_label': '93.41', 'twisting_conrey_index': 41, 'weight': 2}
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id: 47412273
{'conductor': 93, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540008251491265, 'source_is_minimal': False, 'source_label': '961.2.g.l.846.1', 'source_level': 961, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 139611588482048457, 'target_is_minimal': False, 'target_label': '8649.2.a.bf.1.7', 'target_level': 8649, 'twist_class_label': '31.2.g.a.7.1', 'twist_class_level': 31, 'twisting_char_label': '93.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 47412274
{'conductor': 93, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540008251491265, 'source_is_minimal': False, 'source_label': '961.2.g.l.846.1', 'source_level': 961, 'target_conrey_index': 100, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008848555737367, 'target_is_minimal': False, 'target_label': '279.2.y.c.100.2', 'target_level': 279, 'twist_class_label': '31.2.g.a.7.1', 'twist_class_level': 31, 'twisting_char_label': '93.86', 'twisting_conrey_index': 86, 'weight': 2}
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id: 47412275
{'conductor': 93, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540008251491265, 'source_is_minimal': False, 'source_label': '961.2.g.l.846.1', 'source_level': 961, 'target_conrey_index': 226, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008848555737367, 'target_is_minimal': False, 'target_label': '279.2.y.c.226.2', 'target_level': 279, 'twist_class_label': '31.2.g.a.7.1', 'twist_class_level': 31, 'twisting_char_label': '93.92', 'twisting_conrey_index': 92, 'weight': 2}
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id: 47412276
{'conductor': 124, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540008251491265, 'source_is_minimal': False, 'source_label': '961.2.g.l.846.1', 'source_level': 961, 'target_conrey_index': 193, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9009398311551472, 'target_is_minimal': False, 'target_label': '496.2.bg.c.193.1', 'target_level': 496, 'twist_class_label': '31.2.g.a.7.1', 'twist_class_level': 31, 'twisting_char_label': '124.55', 'twisting_conrey_index': 55, 'weight': 2}
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id: 47412277
{'conductor': 124, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540008251491265, 'source_is_minimal': False, 'source_label': '961.2.g.l.846.1', 'source_level': 961, 'target_conrey_index': 257, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9009398311551472, 'target_is_minimal': False, 'target_label': '496.2.bg.c.257.1', 'target_level': 496, 'twist_class_label': '31.2.g.a.7.1', 'twist_class_level': 31, 'twisting_char_label': '124.123', 'twisting_conrey_index': 123, 'weight': 2}
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id: 47412278
{'conductor': 155, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540008251491265, 'source_is_minimal': False, 'source_label': '961.2.g.l.846.1', 'source_level': 961, 'target_conrey_index': 751, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 2542654194439, 'target_is_minimal': False, 'target_label': '775.2.bl.a.751.2', 'target_level': 775, 'twist_class_label': '31.2.g.a.7.1', 'twist_class_level': 31, 'twisting_char_label': '155.24', 'twisting_conrey_index': 24, 'weight': 2}
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id: 47412279
{'conductor': 155, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540008251491265, 'source_is_minimal': False, 'source_label': '961.2.g.l.846.1', 'source_level': 961, 'target_conrey_index': 474, 'target_dim': 32, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4260641112839, 'target_is_minimal': False, 'target_label': '775.2.ck.a.474.1', 'target_level': 775, 'twist_class_label': '31.2.g.a.7.1', 'twist_class_level': 31, 'twisting_char_label': '155.92', 'twisting_conrey_index': 92, 'weight': 2}
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id: 47412280
{'conductor': 155, 'degree': 16, 'order': 60, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540008251491265, 'source_is_minimal': False, 'source_label': '961.2.g.l.846.1', 'source_level': 961, 'target_conrey_index': 224, 'target_dim': 32, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4260641112839, 'target_is_minimal': False, 'target_label': '775.2.ck.a.224.4', 'target_level': 775, 'twist_class_label': '31.2.g.a.7.1', 'twist_class_level': 31, 'twisting_char_label': '155.117', 'twisting_conrey_index': 117, 'weight': 2}
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id: 47412281
{'conductor': 155, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540008251491265, 'source_is_minimal': False, 'source_label': '961.2.g.l.846.1', 'source_level': 961, 'target_conrey_index': 474, 'target_dim': 32, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4260641112839, 'target_is_minimal': False, 'target_label': '775.2.ck.a.474.4', 'target_level': 775, 'twist_class_label': '31.2.g.a.7.1', 'twist_class_level': 31, 'twisting_char_label': '155.123', 'twisting_conrey_index': 123, 'weight': 2}
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id: 47412282
{'conductor': 155, 'degree': 16, 'order': 60, 'parity': 1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540008251491265, 'source_is_minimal': False, 'source_label': '961.2.g.l.846.1', 'source_level': 961, 'target_conrey_index': 224, 'target_dim': 32, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4260641112839, 'target_is_minimal': False, 'target_label': '775.2.ck.a.224.1', 'target_level': 775, 'twist_class_label': '31.2.g.a.7.1', 'twist_class_level': 31, 'twisting_char_label': '155.148', 'twisting_conrey_index': 148, 'weight': 2}
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id: 47412283
{'conductor': 155, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 846, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540008251491265, 'source_is_minimal': False, 'source_label': '961.2.g.l.846.1', 'source_level': 961, 'target_conrey_index': 226, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 2542654194439, 'target_is_minimal': False, 'target_label': '775.2.bl.a.226.2', 'target_level': 775, 'twist_class_label': '31.2.g.a.7.1', 'twist_class_level': 31, 'twisting_char_label': '155.154', 'twisting_conrey_index': 154, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1541600
{'charpoly_factorization': [[[81, 324, 459, -216, 576, 1062, 1656, 1797, 1957, 1468, 1011, 523, 246, 91, 29, 6, 1], 1]], 'hecke_orbit_code': 49540008251491265, 'p': 2}
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id: 1541601
{'charpoly_factorization': [[[961, -7068, 21989, -38859, 45837, -41628, 33043, -24459, 17306, -11361, 6433, -2967, 1092, -321, 74, -12, 1], 1]], 'hecke_orbit_code': 49540008251491265, 'p': 3}
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id: 1541602
{'charpoly_factorization': [[[77841, 170748, 358641, 264222, 286866, 136584, 145524, 52026, 36937, 9366, 5944, 1239, 576, 72, 31, 3, 1], 1]], 'hecke_orbit_code': 49540008251491265, 'p': 5}
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id: 1541603
{'charpoly_factorization': [[[68121, -251343, 433404, -389529, 153882, 21447, -60867, 34596, -4334, -4566, 3353, -167, -93, 34, -6, -2, 1], 1]], 'hecke_orbit_code': 49540008251491265, 'p': 7}
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id: 1541604
{'charpoly_factorization': [[[77841, -449469, 1167237, -1808190, 1863765, -1357641, 739071, -306225, 86209, -8330, -4106, 2072, -390, 40, 13, -7, 1], 1]], 'hecke_orbit_code': 49540008251491265, 'p': 11}
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id: 1541605
{'charpoly_factorization': [[[77841, 881361, 3151062, 1391850, 493245, 231579, -47919, 9690, 20059, -4050, -451, -73, -195, 50, 18, -7, 1], 1]], 'hecke_orbit_code': 49540008251491265, 'p': 13}
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id: 1541606
{'charpoly_factorization': [[[74805201, -135131976, 70913151, 9214533, -20522988, 3532239, 3381567, -1540602, 275371, -5912, -19503, 6979, -63, -2, 41, -6, 1], 1]], 'hecke_orbit_code': 49540008251491265, 'p': 17}
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id: 1541607
{'charpoly_factorization': [[[361201, -933353, 121928, 911720, 107895, -568187, 71044, 72260, 52534, -79075, 45106, -17674, 4955, -1005, 157, -16, 1], 1]], 'hecke_orbit_code': 49540008251491265, 'p': 19}
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id: 1541608
{'charpoly_factorization': [[[77841, 27621, 221130, 482760, 561960, -1177317, 991968, 599310, 258445, 91020, 37718, 7723, 1680, 310, 60, 1, 1], 1]], 'hecke_orbit_code': 49540008251491265, 'p': 23}
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id: 1541609
{'charpoly_factorization': [[[77841, 883872, 3623319, -4318758, 5548428, -3992868, 3122946, -1365609, 707773, -2848, 13939, -12869, 5748, -1141, 181, -14, 1], 1]], 'hecke_orbit_code': 49540008251491265, 'p': 29}
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id: 1541610
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 49540008251491265, 'p': 31}
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id: 1541611
{'charpoly_factorization': [[[344807761, -1215563878, 4527747446, 158428158, 1409594951, -346528319, 277619329, -46820571, 20869117, -3571101, 1088869, -128479, 20471, -1242, 176, -8, 1], 1]], 'hecke_orbit_code': 49540008251491265, 'p': 37}
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id: 1541612
{'charpoly_factorization': [[[81, 1377, 12474, 41256, 80847, 110817, -255102, -583269, 1009576, 138939, -14332, -14527, -543, 74, 24, 8, 1], 1]], 'hecke_orbit_code': 49540008251491265, 'p': 41}
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id: 1541613
{'charpoly_factorization': [[[7612081, -52975559, 228201527, -814057510, 784151645, 1703962259, 1040373291, 335926675, 63545739, 6434660, 134904, -60188, -6430, 430, 203, 23, 1], 1]], 'hecke_orbit_code': 49540008251491265, 'p': 43}
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id: 1541614
{'charpoly_factorization': [[[3306365001, -4369845996, 3685168494, -2392720506, 3315570876, -162124668, 239117571, -22382208, 7964842, -794482, 189676, -31622, 6981, -769, 124, -14, 1], 1]], 'hecke_orbit_code': 49540008251491265, 'p': 47}
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id: 1541615
{'charpoly_factorization': [[[366207732801, 91711239201, -445529079, -7656192738, -2622043143, 251413146, 981605547, 558518247, 155526156, 24121152, 2038662, 71766, -1278, -603, -69, 6, 1], 1]], 'hecke_orbit_code': 49540008251491265, 'p': 53}
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id: 1541616
{'charpoly_factorization': [[[167728401, -930024261, 2517526899, -3585893571, 2755747881, -1116660393, 278477391, -46766253, -4867133, 1999413, 740606, 19328, -10344, 191, 39, -4, 1], 1]], 'hecke_orbit_code': 49540008251491265, 'p': 59}
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id: 1541617
{'charpoly_factorization': [[[38161, -31425, -7053, 11295, -1591, -855, 288, -30, 1], 2]], 'hecke_orbit_code': 49540008251491265, 'p': 61}
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id: 1541618
{'charpoly_factorization': [[[7485883441, 12302334469, 24095669462, -825845775, 6283805060, 619634861, 968412901, -3609120, 44237164, -1954980, 1582339, -90377, 25715, -1215, 278, -13, 1], 1]], 'hecke_orbit_code': 49540008251491265, 'p': 67}
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id: 1541619
{'charpoly_factorization': [[[214944921, 751317606, 1213526934, 1300605741, 1084306581, 704589408, 336930426, 115250643, 28094137, 4726947, 489746, 9032, -5559, -571, 54, 14, 1], 1]], 'hecke_orbit_code': 49540008251491265, 'p': 71}
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id: 1541620
{'charpoly_factorization': [[[17441907675201, -5777484622731, -414865512693, -83971435995, -18297810810, 27314967861, 4796602581, 565298085, 153857104, 6608985, -329281, 287393, 29370, -1990, -132, 2, 1], 1]], 'hecke_orbit_code': 49540008251491265, 'p': 73}
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id: 1541621
{'charpoly_factorization': [[[84609661119201, -30606997844844, 2724585336027, 501837917850, 184597920495, -91619946846, -1496728314, 1419091350, 116774239, 12085930, 727764, -222098, -3480, 760, 68, 18, 1], 1]], 'hecke_orbit_code': 49540008251491265, 'p': 79}
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id: 1541622
{'charpoly_factorization': [[[1446653267361, -29811832434, 13126123170054, 8323756330311, 1152938790711, -153588916962, 37835249526, 14048403843, 147595087, -70689353, 5596636, 14762, -37239, 4444, 19, -16, 1], 1]], 'hecke_orbit_code': 49540008251491265, 'p': 83}
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id: 1541623
{'charpoly_factorization': [[[117957215601, -14623714971, 36524826639, -4144588911, 5138578341, -954917388, 364745286, -148772748, 75648667, -21636982, 4432966, -472472, 22521, 1181, 109, 1, 1], 1]], 'hecke_orbit_code': 49540008251491265, 'p': 89}
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id: 1541624
{'charpoly_factorization': [[[7131992195241, -8735669543583, 4668327599346, -577151681967, 314343923886, 27069810066, 14261276064, 923423649, 128632882, -6270766, 4350864, 145946, 27081, 1913, 281, -3, 1], 1]], 'hecke_orbit_code': 49540008251491265, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 12, 'label': '961.2.g.l', '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: 56917615
{'hecke_orbit_code': 49540008251491265, 'n': 1, 'trace_an': 16}
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id: 56917616
{'hecke_orbit_code': 49540008251491265, 'n': 2, 'trace_an': -6}
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id: 56917617
{'hecke_orbit_code': 49540008251491265, 'n': 3, 'trace_an': 12}
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id: 56917618
{'hecke_orbit_code': 49540008251491265, 'n': 4, 'trace_an': -14}
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id: 56917619
{'hecke_orbit_code': 49540008251491265, 'n': 5, 'trace_an': -3}
-
id: 56917620
{'hecke_orbit_code': 49540008251491265, 'n': 6, 'trace_an': -11}
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id: 56917621
{'hecke_orbit_code': 49540008251491265, 'n': 7, 'trace_an': 2}
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id: 56917622
{'hecke_orbit_code': 49540008251491265, 'n': 8, 'trace_an': 17}
-
id: 56917623
{'hecke_orbit_code': 49540008251491265, 'n': 9, 'trace_an': -10}
-
id: 56917624
{'hecke_orbit_code': 49540008251491265, 'n': 10, 'trace_an': -2}
-
id: 56917625
{'hecke_orbit_code': 49540008251491265, 'n': 11, 'trace_an': 7}
-
id: 56917626
{'hecke_orbit_code': 49540008251491265, 'n': 12, 'trace_an': -5}
-
id: 56917627
{'hecke_orbit_code': 49540008251491265, 'n': 13, 'trace_an': 7}
-
id: 56917628
{'hecke_orbit_code': 49540008251491265, 'n': 14, 'trace_an': -6}
-
id: 56917629
{'hecke_orbit_code': 49540008251491265, 'n': 15, 'trace_an': -14}
-
id: 56917630
{'hecke_orbit_code': 49540008251491265, 'n': 16, 'trace_an': -2}
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id: 56917631
{'hecke_orbit_code': 49540008251491265, 'n': 17, 'trace_an': 6}
-
id: 56917632
{'hecke_orbit_code': 49540008251491265, 'n': 18, 'trace_an': -3}
-
id: 56917633
{'hecke_orbit_code': 49540008251491265, 'n': 19, 'trace_an': 16}
-
id: 56917634
{'hecke_orbit_code': 49540008251491265, 'n': 20, 'trace_an': 37}
-
id: 56917635
{'hecke_orbit_code': 49540008251491265, 'n': 21, 'trace_an': -9}
-
id: 56917636
{'hecke_orbit_code': 49540008251491265, 'n': 22, 'trace_an': -9}
-
id: 56917637
{'hecke_orbit_code': 49540008251491265, 'n': 23, 'trace_an': -1}
-
id: 56917638
{'hecke_orbit_code': 49540008251491265, 'n': 24, 'trace_an': 20}
-
id: 56917639
{'hecke_orbit_code': 49540008251491265, 'n': 25, 'trace_an': -13}
-
id: 56917640
{'hecke_orbit_code': 49540008251491265, 'n': 26, 'trace_an': -9}
-
id: 56917641
{'hecke_orbit_code': 49540008251491265, 'n': 27, 'trace_an': -9}
-
id: 56917642
{'hecke_orbit_code': 49540008251491265, 'n': 28, 'trace_an': -30}
-
id: 56917643
{'hecke_orbit_code': 49540008251491265, 'n': 29, 'trace_an': 14}
-
id: 56917644
{'hecke_orbit_code': 49540008251491265, 'n': 30, 'trace_an': 22}
-
id: 56917645
{'hecke_orbit_code': 49540008251491265, 'n': 31, 'trace_an': 0}
-
id: 56917646
{'hecke_orbit_code': 49540008251491265, 'n': 32, 'trace_an': -42}
-
id: 56917647
{'hecke_orbit_code': 49540008251491265, 'n': 33, 'trace_an': -13}
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id: 56917648
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id: 56917850
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id: 56917851
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id: 56917852
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id: 56917853
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id: 56917854
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id: 56917855
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id: 56917856
{'hecke_orbit_code': 49540008251491265, 'n': 883, 'trace_an': 247}
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id: 56917857
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id: 56917858
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id: 56917859
{'hecke_orbit_code': 49540008251491265, 'n': 911, 'trace_an': -200}
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id: 56917860
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id: 56917861
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id: 56917862
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id: 56917863
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id: 56917864
{'hecke_orbit_code': 49540008251491265, 'n': 947, 'trace_an': 17}
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id: 56917865
{'hecke_orbit_code': 49540008251491265, 'n': 953, 'trace_an': -32}
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id: 56917866
{'hecke_orbit_code': 49540008251491265, 'n': 961, 'trace_an': 0}
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id: 56917867
{'hecke_orbit_code': 49540008251491265, 'n': 967, 'trace_an': 77}
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id: 56917868
{'hecke_orbit_code': 49540008251491265, 'n': 971, 'trace_an': -252}
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id: 56917869
{'hecke_orbit_code': 49540008251491265, 'n': 977, 'trace_an': 133}
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id: 56917870
{'hecke_orbit_code': 49540008251491265, 'n': 983, 'trace_an': 105}
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id: 56917871
{'hecke_orbit_code': 49540008251491265, 'n': 991, 'trace_an': -4}
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id: 56917872
{'hecke_orbit_code': 49540008251491265, 'n': 997, 'trace_an': -29}