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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': 20, 'hecke_orbit_code': 85568667831501529, '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.t', '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 _{1}+\\beta _{2}+\\beta _{5}-\\beta _{6}-\\beta _{8})q^{2}+(1+\\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': 1134798172363720679, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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'hecke_orbit': 20, 'hecke_orbit_code': 85568667831501529, 'label': '729.2.e.t.649.2', '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: 48301135
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 85568667831501529, 'source_is_minimal': False, 'source_label': '729.2.e.t.649.2', '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': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48301136
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 85568667831501529, 'source_is_minimal': False, 'source_label': '729.2.e.t.649.2', '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': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48301137
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 85568667831501529, 'source_is_minimal': False, 'source_label': '729.2.e.t.649.2', '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': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48301138
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 85568667831501529, 'source_is_minimal': False, 'source_label': '729.2.e.t.649.2', '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': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48301139
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 85568667831501529, 'source_is_minimal': False, 'source_label': '729.2.e.t.649.2', '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': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48301140
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 85568667831501529, 'source_is_minimal': False, 'source_label': '729.2.e.t.649.2', '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': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 48301141
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 85568667831501529, 'source_is_minimal': False, 'source_label': '729.2.e.t.649.2', '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': '27.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48301142
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 85568667831501529, 'source_is_minimal': False, 'source_label': '729.2.e.t.649.2', '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': '27.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48301143
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 85568667831501529, 'source_is_minimal': False, 'source_label': '729.2.e.t.649.2', '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': '27.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48301144
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 85568667831501529, 'source_is_minimal': False, 'source_label': '729.2.e.t.649.2', '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': '27.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 48301145
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 85568667831501529, 'source_is_minimal': False, 'source_label': '729.2.e.t.649.2', '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': '27.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48301146
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 85568667831501529, 'source_is_minimal': False, 'source_label': '729.2.e.t.649.2', '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': '27.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 48301147
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 85568667831501529, 'source_is_minimal': False, 'source_label': '729.2.e.t.649.2', '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': '27.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 48301148
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 85568667831501529, 'source_is_minimal': False, 'source_label': '729.2.e.t.649.2', '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': '27.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 48301149
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 85568667831501529, 'source_is_minimal': False, 'source_label': '729.2.e.t.649.2', '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': '27.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 48301150
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 85568667831501529, 'source_is_minimal': False, 'source_label': '729.2.e.t.649.2', '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': '27.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 48301151
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 85568667831501529, 'source_is_minimal': False, 'source_label': '729.2.e.t.649.2', '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': '27.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 48301152
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 85568667831501529, 'source_is_minimal': False, 'source_label': '729.2.e.t.649.2', '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': '27.25', 'twisting_conrey_index': 25, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1260500
{'charpoly_factorization': [[[9, 81, 135, -387, 495, -126, 228, -45, 18, -15, 6, -3, 1], 1]], 'hecke_orbit_code': 85568667831501529, 'p': 2}
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id: 1260501
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 85568667831501529, 'p': 3}
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id: 1260502
{'charpoly_factorization': [[[25281, -41499, 34290, -15624, 2547, 1854, -1203, 81, 162, -75, 24, -6, 1], 1]], 'hecke_orbit_code': 85568667831501529, 'p': 5}
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id: 1260503
{'charpoly_factorization': [[[18496, -65280, 101712, -38936, 5832, -198, -861, 621, -18, -83, 33, -6, 1], 1]], 'hecke_orbit_code': 85568667831501529, 'p': 7}
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id: 1260504
{'charpoly_factorization': [[[788544, 735264, 547776, 332928, 146268, 49662, 13539, 2997, 855, 336, 96, 15, 1], 1]], 'hecke_orbit_code': 85568667831501529, 'p': 11}
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id: 1260505
{'charpoly_factorization': [[[7921, -13350, -618, 7450, 6030, -5643, 462, 1530, 702, 250, 51, 3, 1], 1]], 'hecke_orbit_code': 85568667831501529, 'p': 13}
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id: 1260506
{'charpoly_factorization': [[[210681, 223074, 285768, 71442, 77274, 18711, 14769, 2430, 1323, 270, 81, 9, 1], 1]], 'hecke_orbit_code': 85568667831501529, 'p': 17}
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id: 1260507
{'charpoly_factorization': [[[87616, -174048, 320880, -141152, 102636, -8172, 17637, 279, 2169, 490, 129, 12, 1], 1]], 'hecke_orbit_code': 85568667831501529, 'p': 19}
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id: 1260508
{'charpoly_factorization': [[[207936, -607392, 288144, 449424, -11304, -20178, 27903, -11061, 3483, -732, 132, -15, 1], 1]], 'hecke_orbit_code': 85568667831501529, 'p': 23}
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id: 1260509
{'charpoly_factorization': [[[97594641, 25606368, 4254309, 1353339, -248256, 293607, 223950, -20322, -1188, -411, 33, 6, 1], 1]], 'hecke_orbit_code': 85568667831501529, 'p': 29}
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id: 1260510
{'charpoly_factorization': [[[1032256, 1840992, 1458048, 1071952, 750600, 210996, 77169, 18144, 1980, -65, 24, 12, 1], 1]], 'hecke_orbit_code': 85568667831501529, 'p': 31}
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id: 1260511
{'charpoly_factorization': [[[259499881, -148798833, 136307154, 14382607, 12197421, 875754, 560877, 49716, 14859, 535, 138, 3, 1], 1]], 'hecke_orbit_code': 85568667831501529, 'p': 37}
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id: 1260512
{'charpoly_factorization': [[[534025881, 31197150, 5453973, 16500870, 9889650, 4070160, 1228971, 276282, 49608, 6882, 672, 39, 1], 1]], 'hecke_orbit_code': 85568667831501529, 'p': 41}
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id: 1260513
{'charpoly_factorization': [[[300814336, -83251200, -33229824, 23985664, -340992, -2154240, 845184, -200736, 32256, -3656, 348, -24, 1], 1]], 'hecke_orbit_code': 85568667831501529, 'p': 43}
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id: 1260514
{'charpoly_factorization': [[[314565696, -204318720, 31202496, 85150944, 45001800, 14982066, 3551943, 623259, 85950, 9516, 798, 42, 1], 1]], 'hecke_orbit_code': 85568667831501529, 'p': 47}
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id: 1260515
{'charpoly_factorization': [[[1944, -14580, 1620, 729, -81, -9, 1], 2]], 'hecke_orbit_code': 85568667831501529, 'p': 53}
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id: 1260516
{'charpoly_factorization': [[[166464, 1219104, 2624832, 496296, 214092, -31572, 67161, -69444, 20898, -2532, 222, -15, 1], 1]], 'hecke_orbit_code': 85568667831501529, 'p': 59}
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id: 1260517
{'charpoly_factorization': [[[2483776, -6657024, 27841152, -38340272, 21059424, -4785066, 1133949, -181674, 15192, 772, -156, 3, 1], 1]], 'hecke_orbit_code': 85568667831501529, 'p': 61}
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id: 1260518
{'charpoly_factorization': [[[298874944, -534406656, 338120256, -90885512, 24646896, -4685184, 772905, -36450, 8595, 655, -84, 3, 1], 1]], 'hecke_orbit_code': 85568667831501529, 'p': 67}
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id: 1260519
{'charpoly_factorization': [[[862949376, 609140736, 353839104, 104509440, 29922048, 5225472, 1271808, 176256, 29808, 1728, 180, 0, 1], 1]], 'hecke_orbit_code': 85568667831501529, 'p': 71}
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id: 1260520
{'charpoly_factorization': [[[3317875201, 2132389020, 1361321841, 242511088, 85050117, 11914866, 3914682, 353628, 48825, 2236, 300, 12, 1], 1]], 'hecke_orbit_code': 85568667831501529, 'p': 73}
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id: 1260521
{'charpoly_factorization': [[[8681766976, -5315504448, 1584186816, -185700872, -14512248, 10591992, -1328559, -123777, 74331, -10100, 708, -33, 1], 1]], 'hecke_orbit_code': 85568667831501529, 'p': 79}
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id: 1260522
{'charpoly_factorization': [[[18870336, -10790496, -1350432, 10447344, 7703784, 3132468, 956541, 207531, 35595, 4944, 510, 33, 1], 1]], 'hecke_orbit_code': 85568667831501529, 'p': 83}
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id: 1260523
{'charpoly_factorization': [[[15365337849, -2178792189, 1597483944, -64953171, 97725123, -3590568, 2930769, 55242, 49221, -27, 306, 9, 1], 1]], 'hecke_orbit_code': 85568667831501529, 'p': 89}
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id: 1260524
{'charpoly_factorization': [[[333099001, -99650460, 351364098, -233923817, 66706650, -11066589, 1451118, -169038, 12573, -461, 78, -15, 1], 1]], 'hecke_orbit_code': 85568667831501529, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 20, 'label': '729.2.e.t', 'level': 729, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 248694000
{'hecke_orbit_code': 85568667831501529, 'n': 1, 'trace_an': 12}
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id: 248694001
{'hecke_orbit_code': 85568667831501529, 'n': 2, 'trace_an': 3}
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id: 248694002
{'hecke_orbit_code': 85568667831501529, 'n': 3, 'trace_an': 0}
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id: 248694003
{'hecke_orbit_code': 85568667831501529, 'n': 4, 'trace_an': -3}
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id: 248694004
{'hecke_orbit_code': 85568667831501529, 'n': 5, 'trace_an': 6}
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id: 248694005
{'hecke_orbit_code': 85568667831501529, 'n': 6, 'trace_an': 0}
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id: 248694006
{'hecke_orbit_code': 85568667831501529, 'n': 7, 'trace_an': 6}
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id: 248694007
{'hecke_orbit_code': 85568667831501529, 'n': 8, 'trace_an': 6}
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id: 248694008
{'hecke_orbit_code': 85568667831501529, 'n': 9, 'trace_an': 0}
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id: 248694009
{'hecke_orbit_code': 85568667831501529, 'n': 10, 'trace_an': -6}
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id: 248694010
{'hecke_orbit_code': 85568667831501529, 'n': 11, 'trace_an': -15}
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id: 248694011
{'hecke_orbit_code': 85568667831501529, 'n': 12, 'trace_an': 0}
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id: 248694012
{'hecke_orbit_code': 85568667831501529, 'n': 13, 'trace_an': -3}
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id: 248694013
{'hecke_orbit_code': 85568667831501529, 'n': 14, 'trace_an': -21}
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id: 248694014
{'hecke_orbit_code': 85568667831501529, 'n': 15, 'trace_an': 0}
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id: 248694015
{'hecke_orbit_code': 85568667831501529, 'n': 16, 'trace_an': 9}
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id: 248694016
{'hecke_orbit_code': 85568667831501529, 'n': 17, 'trace_an': -9}
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id: 248694017
{'hecke_orbit_code': 85568667831501529, 'n': 18, 'trace_an': 0}
-
id: 248694018
{'hecke_orbit_code': 85568667831501529, 'n': 19, 'trace_an': -12}
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id: 248694019
{'hecke_orbit_code': 85568667831501529, 'n': 20, 'trace_an': -3}
-
id: 248694020
{'hecke_orbit_code': 85568667831501529, 'n': 21, 'trace_an': 0}
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id: 248694021
{'hecke_orbit_code': 85568667831501529, 'n': 22, 'trace_an': 33}
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id: 248694022
{'hecke_orbit_code': 85568667831501529, 'n': 23, 'trace_an': 15}
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id: 248694023
{'hecke_orbit_code': 85568667831501529, 'n': 24, 'trace_an': 0}
-
id: 248694024
{'hecke_orbit_code': 85568667831501529, 'n': 25, 'trace_an': -12}
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id: 248694025
{'hecke_orbit_code': 85568667831501529, 'n': 26, 'trace_an': -48}
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id: 248694026
{'hecke_orbit_code': 85568667831501529, 'n': 27, 'trace_an': 0}
-
id: 248694027
{'hecke_orbit_code': 85568667831501529, 'n': 28, 'trace_an': 6}
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id: 248694028
{'hecke_orbit_code': 85568667831501529, 'n': 29, 'trace_an': -6}
-
id: 248694029
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