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mf_newforms • Show schema
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{'Nk2': 2916, 'analytic_conductor': 5.82109430735134, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 27, 'char_degree': 6, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 9, 'char_parity': 1, 'char_values': [729, 9, [2], [4]], 'cm_discs': [], 'conrey_indexes': [82, 163, 325, 406, 568, 649], 'dim': 12, 'field_disc': 55649466460449, 'field_disc_factorization': [[3, 18], [379, 2]], 'field_poly': [1, 0, 132, 0, 306, 0, 266, 0, 105, 0, 18, 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, [9, -81, 135, 387, 495, 126, 228, 45, 18, 15, 6, 3, 1]], [5, [25281, 41499, 34290, 15624, 2547, -1854, -1203, -81, 162, 75, 24, 6, 1]], [7, [18496, -65280, 101712, -38936, 5832, -198, -861, 621, -18, -83, 33, -6, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45036271185167065, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 27, 5, 1, 9, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '729.2.e.k', 'level': 729, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'minimal_twist': '729.2.a.b', 'prim_orbit_index': 5, 'qexp_display': 'q+(-\\beta _{5}-\\beta _{7}+\\beta _{10})q^{2}+(-1+\\beta _{4}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c9', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '729.2.e', 'trace_display': [-3, 0, -6, 6], 'trace_hash': 1557403904793343041, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.061', 'prec': 17}, {'__RealLiteral__': 0, 'data': '12.251', 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mf_hecke_cc • Show schema
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11, 'hecke_orbit_code': 45036271185167065, 'label': '729.2.e.k.82.1', 'level': 729, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2916, 'analytic_conductor': 5.82109430735134, 'char_conductor': 27, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 9, 'char_parity': 1, 'char_values': [729, 9, [2], [4]], 'conrey_indexes': [82, 163, 325, 406, 568, 649], 'cusp_dim': 378, 'dim': 198, 'eis_dim': 216, 'eis_new_dim': 36, 'hecke_cutter_primes': [2, 5, 7], 'hecke_orbit_code': 274911462105, 'hecke_orbit_dims': [6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], 'label': '729.2.e', 'level': 729, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'mf_dim': 594, 'mf_new_dim': 234, 'num_forms': 21, 'prim_orbit_index': 5, 'relative_dim': 33, 'sturm_bound': 162, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [198, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, -117, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -117, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -324, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -396, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 162, 0, 0, 0, 0, 0, 0, 0, 0, 234, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 1044, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 234, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, 63, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -522, 0, 0, 0, 0, 0, 0, 0, 0, -792, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -792, 0, 0, 0, 0, 0, 0, 0, 0, -522, 0, 0, 0, 0, 0, 0, 0, 0, -324, 0, 0, 0, 0, 0, 0, 0, 0, 81, 0, 0, 0, 0, 0, 0, 0, 0, 198, 0, 0, 0, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -684, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 162, 0, 0, 0, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, 0, 0, 0, 324, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 1224, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, 504, 0, 0, 0, 0, 0, 0, 0, 0, 1584, 0, 0, 0, 0, 0, 0, 0, 0, 648, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, 1584, 0, 0, 0, 0, 0, 0, 0, 0, 45, 0, 0, 0, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -612, 0, 0, 0, 0, 0, 0, 0, 0, 45, 0, 0, 0, 0, 0, 0, 0, 0, -324, 0, 0, 0, 0, 0, 0, 0, 0, 45, 0, 0, 0, 0, 0, 0, 0, 0, -792, 0, 0, 0, 0, 0, 0, 0, 0, -648, 0, 0, 0, 0, 0, 0, 0, 0, -522, 0, 0, 0, 0, 0, 0, 0, 0, -117, 0, 0, 0, 0, 0, 0, 0, 0, -1008, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, -1008, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -1260, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, -774, 0, 0, 0, 0, 0, 0, 0, 0, 648, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, 810, 0, 0, 0, 0, 0, 0, 0, 0, -90, 0, 0, 0, 0, 0, 0, 0, 0, -468, 0, 0, 0, 0, 0, 0, 0, 0, -630, 0, 0, 0, 0, 0, 0, 0, 0, -612, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, -1602, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -1422, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, 0, 0, 0, -792, 0, 0, 0, 0, 0, 0, 0, 0, -648, 0, 0, 0, 0, 0, 0, 0, 0, -684, 0, 0, 0, 0, 0, 0, 0, 0, 360, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -1332, 0, 0, 0, 0, 0, 0, 0, 0, 324, 0, 0, 0, 0, 0, 0, 0, 0, 666, 0, 0, 0, 0, 0, 0, 0, 0, 396, 0, 0, 0, 0, 0, 0, 0, 0, 648, 0, 0, 0, 0, 0, 0, 0, 0, 504, 0, 0, 0, 0, 0, 0, 0, 0, 2880, 0, 0, 0, 0, 0, 0, 0, 0, 666, 0, 0, 0, 0, 0, 0, 0, 0, 828, 0, 0, 0, 0, 0, 0, 0, 0, 2664, 0, 0, 0, 0, 0, 0, 0, 0, 828, 0, 0, 0, 0, 0, 0, 0, 0, 531, 0, 0, 0, 0, 0, 0, 0, 0, 2556], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47182532
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185167065, 'source_is_minimal': False, 'source_label': '729.2.e.k.82.1', 'source_level': 729, 'target_conrey_index': 82, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036271185167065, 'target_is_minimal': False, 'target_label': '729.2.e.k.82.1', 'target_level': 729, 'twist_class_label': '729.2.a.b.1.6', 'twist_class_level': 729, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47182533
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185167065, 'source_is_minimal': False, 'source_label': '729.2.e.k.82.1', 'source_level': 729, 'target_conrey_index': 82, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 85568667831501529, 'target_is_minimal': False, 'target_label': '729.2.e.t.82.2', 'target_level': 729, 'twist_class_label': '729.2.a.b.1.6', 'twist_class_level': 729, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47182534
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185167065, 'source_is_minimal': False, 'source_label': '729.2.e.k.82.1', 'source_level': 729, 'target_conrey_index': 325, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 81065068204131033, 'target_is_minimal': False, 'target_label': '729.2.e.s.325.2', 'target_level': 729, 'twist_class_label': '729.2.a.b.1.6', 'twist_class_level': 729, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47182535
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185167065, 'source_is_minimal': False, 'source_label': '729.2.e.k.82.1', 'source_level': 729, 'target_conrey_index': 568, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 90072267458872025, 'target_is_minimal': False, 'target_label': '729.2.e.u.568.2', 'target_level': 729, 'twist_class_label': '729.2.a.b.1.6', 'twist_class_level': 729, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47182536
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185167065, 'source_is_minimal': False, 'source_label': '729.2.e.k.82.1', 'source_level': 729, 'target_conrey_index': 568, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532671557796569, 'target_is_minimal': False, 'target_label': '729.2.e.j.568.1', 'target_level': 729, 'twist_class_label': '729.2.a.b.1.6', 'twist_class_level': 729, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 47182537
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185167065, 'source_is_minimal': False, 'source_label': '729.2.e.k.82.1', 'source_level': 729, 'target_conrey_index': 325, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539870812537561, 'target_is_minimal': False, 'target_label': '729.2.e.l.325.1', 'target_level': 729, 'twist_class_label': '729.2.a.b.1.6', 'twist_class_level': 729, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 47182538
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185167065, 'source_is_minimal': False, 'source_label': '729.2.e.k.82.1', 'source_level': 729, 'target_conrey_index': 649, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 85568667831501529, 'target_is_minimal': False, 'target_label': '729.2.e.t.649.2', 'target_level': 729, 'twist_class_label': '729.2.a.b.1.6', 'twist_class_level': 729, 'twisting_char_label': '27.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47182539
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185167065, 'source_is_minimal': False, 'source_label': '729.2.e.k.82.1', 'source_level': 729, 'target_conrey_index': 487, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 137472508633, 'target_is_minimal': False, 'target_label': '729.2.c.a.487.6', 'target_level': 729, 'twist_class_label': '729.2.a.b.1.6', 'twist_class_level': 729, 'twisting_char_label': '27.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47182540
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185167065, 'source_is_minimal': False, 'source_label': '729.2.e.k.82.1', 'source_level': 729, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 4503599660925657, 'target_is_minimal': True, 'target_label': '729.2.a.b.1.6', 'target_level': 729, 'twist_class_label': '729.2.a.b.1.6', 'twist_class_level': 729, 'twisting_char_label': '27.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 47182541
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185167065, 'source_is_minimal': False, 'source_label': '729.2.e.k.82.1', 'source_level': 729, 'target_conrey_index': 406, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539870812537561, 'target_is_minimal': False, 'target_label': '729.2.e.l.406.1', 'target_level': 729, 'twist_class_label': '729.2.a.b.1.6', 'twist_class_level': 729, 'twisting_char_label': '27.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 47182542
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185167065, 'source_is_minimal': False, 'source_label': '729.2.e.k.82.1', 'source_level': 729, 'target_conrey_index': 163, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532671557796569, 'target_is_minimal': False, 'target_label': '729.2.e.j.163.1', 'target_level': 729, 'twist_class_label': '729.2.a.b.1.6', 'twist_class_level': 729, 'twisting_char_label': '27.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47182543
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185167065, 'source_is_minimal': False, 'source_label': '729.2.e.k.82.1', 'source_level': 729, 'target_conrey_index': 244, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 137472508633, 'target_is_minimal': False, 'target_label': '729.2.c.a.244.6', 'target_level': 729, 'twist_class_label': '729.2.a.b.1.6', 'twist_class_level': 729, 'twisting_char_label': '27.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 47182544
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185167065, 'source_is_minimal': False, 'source_label': '729.2.e.k.82.1', 'source_level': 729, 'target_conrey_index': 244, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510936354620121, 'target_is_minimal': False, 'target_label': '729.2.c.d.244.1', 'target_level': 729, 'twist_class_label': '729.2.a.b.1.6', 'twist_class_level': 729, 'twisting_char_label': '27.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 47182545
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185167065, 'source_is_minimal': False, 'source_label': '729.2.e.k.82.1', 'source_level': 729, 'target_conrey_index': 163, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 90072267458872025, 'target_is_minimal': False, 'target_label': '729.2.e.u.163.2', 'target_level': 729, 'twist_class_label': '729.2.a.b.1.6', 'twist_class_level': 729, 'twisting_char_label': '27.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 47182546
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185167065, 'source_is_minimal': False, 'source_label': '729.2.e.k.82.1', 'source_level': 729, 'target_conrey_index': 406, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 81065068204131033, 'target_is_minimal': False, 'target_label': '729.2.e.s.406.2', 'target_level': 729, 'twist_class_label': '729.2.a.b.1.6', 'twist_class_level': 729, 'twisting_char_label': '27.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 47182547
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185167065, 'source_is_minimal': False, 'source_label': '729.2.e.k.82.1', 'source_level': 729, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543037145, 'target_is_minimal': True, 'target_label': '729.2.a.e.1.1', 'target_level': 729, 'twist_class_label': '729.2.a.b.1.6', 'twist_class_level': 729, 'twisting_char_label': '27.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 47182548
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185167065, 'source_is_minimal': False, 'source_label': '729.2.e.k.82.1', 'source_level': 729, 'target_conrey_index': 487, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510936354620121, 'target_is_minimal': False, 'target_label': '729.2.c.d.487.1', 'target_level': 729, 'twist_class_label': '729.2.a.b.1.6', 'twist_class_level': 729, 'twisting_char_label': '27.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 47182549
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185167065, 'source_is_minimal': False, 'source_label': '729.2.e.k.82.1', 'source_level': 729, 'target_conrey_index': 649, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036271185167065, 'target_is_minimal': False, 'target_label': '729.2.e.k.649.1', 'target_level': 729, 'twist_class_label': '729.2.a.b.1.6', 'twist_class_level': 729, 'twisting_char_label': '27.25', 'twisting_conrey_index': 25, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1260250
{'charpoly_factorization': [[[9, -81, 135, 387, 495, 126, 228, 45, 18, 15, 6, 3, 1], 1]], 'hecke_orbit_code': 45036271185167065, 'p': 2}
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id: 1260251
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 45036271185167065, 'p': 3}
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id: 1260252
{'charpoly_factorization': [[[25281, 41499, 34290, 15624, 2547, -1854, -1203, -81, 162, 75, 24, 6, 1], 1]], 'hecke_orbit_code': 45036271185167065, 'p': 5}
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id: 1260253
{'charpoly_factorization': [[[18496, -65280, 101712, -38936, 5832, -198, -861, 621, -18, -83, 33, -6, 1], 1]], 'hecke_orbit_code': 45036271185167065, 'p': 7}
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id: 1260254
{'charpoly_factorization': [[[788544, -735264, 547776, -332928, 146268, -49662, 13539, -2997, 855, -336, 96, -15, 1], 1]], 'hecke_orbit_code': 45036271185167065, 'p': 11}
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id: 1260255
{'charpoly_factorization': [[[7921, -13350, -618, 7450, 6030, -5643, 462, 1530, 702, 250, 51, 3, 1], 1]], 'hecke_orbit_code': 45036271185167065, 'p': 13}
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id: 1260256
{'charpoly_factorization': [[[210681, -223074, 285768, -71442, 77274, -18711, 14769, -2430, 1323, -270, 81, -9, 1], 1]], 'hecke_orbit_code': 45036271185167065, 'p': 17}
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id: 1260257
{'charpoly_factorization': [[[87616, -174048, 320880, -141152, 102636, -8172, 17637, 279, 2169, 490, 129, 12, 1], 1]], 'hecke_orbit_code': 45036271185167065, 'p': 19}
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id: 1260258
{'charpoly_factorization': [[[207936, 607392, 288144, -449424, -11304, 20178, 27903, 11061, 3483, 732, 132, 15, 1], 1]], 'hecke_orbit_code': 45036271185167065, 'p': 23}
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id: 1260259
{'charpoly_factorization': [[[97594641, -25606368, 4254309, -1353339, -248256, -293607, 223950, 20322, -1188, 411, 33, -6, 1], 1]], 'hecke_orbit_code': 45036271185167065, 'p': 29}
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id: 1260260
{'charpoly_factorization': [[[1032256, 1840992, 1458048, 1071952, 750600, 210996, 77169, 18144, 1980, -65, 24, 12, 1], 1]], 'hecke_orbit_code': 45036271185167065, 'p': 31}
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id: 1260261
{'charpoly_factorization': [[[259499881, -148798833, 136307154, 14382607, 12197421, 875754, 560877, 49716, 14859, 535, 138, 3, 1], 1]], 'hecke_orbit_code': 45036271185167065, 'p': 37}
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id: 1260262
{'charpoly_factorization': [[[534025881, -31197150, 5453973, -16500870, 9889650, -4070160, 1228971, -276282, 49608, -6882, 672, -39, 1], 1]], 'hecke_orbit_code': 45036271185167065, 'p': 41}
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id: 1260263
{'charpoly_factorization': [[[300814336, -83251200, -33229824, 23985664, -340992, -2154240, 845184, -200736, 32256, -3656, 348, -24, 1], 1]], 'hecke_orbit_code': 45036271185167065, 'p': 43}
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id: 1260264
{'charpoly_factorization': [[[314565696, 204318720, 31202496, -85150944, 45001800, -14982066, 3551943, -623259, 85950, -9516, 798, -42, 1], 1]], 'hecke_orbit_code': 45036271185167065, 'p': 47}
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id: 1260265
{'charpoly_factorization': [[[1944, 14580, 1620, -729, -81, 9, 1], 2]], 'hecke_orbit_code': 45036271185167065, 'p': 53}
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id: 1260266
{'charpoly_factorization': [[[166464, -1219104, 2624832, -496296, 214092, 31572, 67161, 69444, 20898, 2532, 222, 15, 1], 1]], 'hecke_orbit_code': 45036271185167065, 'p': 59}
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id: 1260267
{'charpoly_factorization': [[[2483776, -6657024, 27841152, -38340272, 21059424, -4785066, 1133949, -181674, 15192, 772, -156, 3, 1], 1]], 'hecke_orbit_code': 45036271185167065, 'p': 61}
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id: 1260268
{'charpoly_factorization': [[[298874944, -534406656, 338120256, -90885512, 24646896, -4685184, 772905, -36450, 8595, 655, -84, 3, 1], 1]], 'hecke_orbit_code': 45036271185167065, 'p': 67}
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id: 1260269
{'charpoly_factorization': [[[862949376, -609140736, 353839104, -104509440, 29922048, -5225472, 1271808, -176256, 29808, -1728, 180, 0, 1], 1]], 'hecke_orbit_code': 45036271185167065, 'p': 71}
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id: 1260270
{'charpoly_factorization': [[[3317875201, 2132389020, 1361321841, 242511088, 85050117, 11914866, 3914682, 353628, 48825, 2236, 300, 12, 1], 1]], 'hecke_orbit_code': 45036271185167065, 'p': 73}
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id: 1260271
{'charpoly_factorization': [[[8681766976, -5315504448, 1584186816, -185700872, -14512248, 10591992, -1328559, -123777, 74331, -10100, 708, -33, 1], 1]], 'hecke_orbit_code': 45036271185167065, 'p': 79}
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id: 1260272
{'charpoly_factorization': [[[18870336, 10790496, -1350432, -10447344, 7703784, -3132468, 956541, -207531, 35595, -4944, 510, -33, 1], 1]], 'hecke_orbit_code': 45036271185167065, 'p': 83}
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id: 1260273
{'charpoly_factorization': [[[15365337849, 2178792189, 1597483944, 64953171, 97725123, 3590568, 2930769, -55242, 49221, 27, 306, -9, 1], 1]], 'hecke_orbit_code': 45036271185167065, 'p': 89}
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id: 1260274
{'charpoly_factorization': [[[333099001, -99650460, 351364098, -233923817, 66706650, -11066589, 1451118, -169038, 12573, -461, 78, -15, 1], 1]], 'hecke_orbit_code': 45036271185167065, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 11, 'label': '729.2.e.k', 'level': 729, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 214975000
{'hecke_orbit_code': 45036271185167065, 'n': 1, 'trace_an': 12}
-
id: 214975001
{'hecke_orbit_code': 45036271185167065, 'n': 2, 'trace_an': -3}
-
id: 214975002
{'hecke_orbit_code': 45036271185167065, 'n': 3, 'trace_an': 0}
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id: 214975003
{'hecke_orbit_code': 45036271185167065, 'n': 4, 'trace_an': -3}
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id: 214975004
{'hecke_orbit_code': 45036271185167065, 'n': 5, 'trace_an': -6}
-
id: 214975005
{'hecke_orbit_code': 45036271185167065, 'n': 6, 'trace_an': 0}
-
id: 214975006
{'hecke_orbit_code': 45036271185167065, 'n': 7, 'trace_an': 6}
-
id: 214975007
{'hecke_orbit_code': 45036271185167065, 'n': 8, 'trace_an': -6}
-
id: 214975008
{'hecke_orbit_code': 45036271185167065, 'n': 9, 'trace_an': 0}
-
id: 214975009
{'hecke_orbit_code': 45036271185167065, 'n': 10, 'trace_an': -6}
-
id: 214975010
{'hecke_orbit_code': 45036271185167065, 'n': 11, 'trace_an': 15}
-
id: 214975011
{'hecke_orbit_code': 45036271185167065, 'n': 12, 'trace_an': 0}
-
id: 214975012
{'hecke_orbit_code': 45036271185167065, 'n': 13, 'trace_an': -3}
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id: 214975013
{'hecke_orbit_code': 45036271185167065, 'n': 14, 'trace_an': 21}
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id: 214975014
{'hecke_orbit_code': 45036271185167065, 'n': 15, 'trace_an': 0}
-
id: 214975015
{'hecke_orbit_code': 45036271185167065, 'n': 16, 'trace_an': 9}
-
id: 214975016
{'hecke_orbit_code': 45036271185167065, 'n': 17, 'trace_an': 9}
-
id: 214975017
{'hecke_orbit_code': 45036271185167065, 'n': 18, 'trace_an': 0}
-
id: 214975018
{'hecke_orbit_code': 45036271185167065, 'n': 19, 'trace_an': -12}
-
id: 214975019
{'hecke_orbit_code': 45036271185167065, 'n': 20, 'trace_an': 3}
-
id: 214975020
{'hecke_orbit_code': 45036271185167065, 'n': 21, 'trace_an': 0}
-
id: 214975021
{'hecke_orbit_code': 45036271185167065, 'n': 22, 'trace_an': 33}
-
id: 214975022
{'hecke_orbit_code': 45036271185167065, 'n': 23, 'trace_an': -15}
-
id: 214975023
{'hecke_orbit_code': 45036271185167065, 'n': 24, 'trace_an': 0}
-
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