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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_index': 82, '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, 0, 270, 585, 198, -261, -42, 36, 27, -15, 6, -3, 1]], [5, [25281, 31482, 18549, 10215, 6408, 4041, 2820, 1566, 684, 249, 69, 12, 1]], [7, [18496, 86496, 148224, 111616, 60228, 24714, 7995, 1899, 369, 52, 6, 3, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81065068204131033, 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mf_hecke_cc • Show schema
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-0.23874461587572168, -0.2565743559637485, -0.3083033434198865, -0.08350540792769615, -0.0008182551512615131], 'char_orbit_index': 5, 'conrey_index': 82, 'dual_conrey_index': 649, 'dual_embedding_index': 2, 'dual_embedding_m': 12, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 0.08782218329102408, 'embedding_root_real': 0.0, 'hecke_orbit': 19, 'hecke_orbit_code': 81065068204131033, 'label': '729.2.e.s.82.2', '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_index': 82, '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: 48233092
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81065068204131033, 'source_is_minimal': False, 'source_label': '729.2.e.s.82.2', 'source_level': 729, 'target_conrey_index': 82, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 81065068204131033, 'target_is_minimal': False, 'target_label': '729.2.e.s.82.2', 'target_level': 729, 'twist_class_label': '729.2.a.b.1.4', 'twist_class_level': 729, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48233093
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81065068204131033, 'source_is_minimal': False, 'source_label': '729.2.e.s.82.2', 'source_level': 729, 'target_conrey_index': 82, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539870812537561, 'target_is_minimal': False, 'target_label': '729.2.e.l.82.1', 'target_level': 729, 'twist_class_label': '729.2.a.b.1.4', 'twist_class_level': 729, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48233094
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81065068204131033, 'source_is_minimal': False, 'source_label': '729.2.e.s.82.2', 'source_level': 729, 'target_conrey_index': 325, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90072267458872025, 'target_is_minimal': False, 'target_label': '729.2.e.u.325.1', 'target_level': 729, 'twist_class_label': '729.2.a.b.1.4', 'twist_class_level': 729, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48233095
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81065068204131033, 'source_is_minimal': False, 'source_label': '729.2.e.s.82.2', 'source_level': 729, 'target_conrey_index': 568, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 85568667831501529, 'target_is_minimal': False, 'target_label': '729.2.e.t.568.1', 'target_level': 729, 'twist_class_label': '729.2.a.b.1.4', 'twist_class_level': 729, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48233096
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81065068204131033, 'source_is_minimal': False, 'source_label': '729.2.e.s.82.2', 'source_level': 729, 'target_conrey_index': 568, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45036271185167065, 'target_is_minimal': False, 'target_label': '729.2.e.k.568.2', 'target_level': 729, 'twist_class_label': '729.2.a.b.1.4', 'twist_class_level': 729, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48233097
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81065068204131033, 'source_is_minimal': False, 'source_label': '729.2.e.s.82.2', 'source_level': 729, 'target_conrey_index': 325, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532671557796569, 'target_is_minimal': False, 'target_label': '729.2.e.j.325.2', 'target_level': 729, 'twist_class_label': '729.2.a.b.1.4', 'twist_class_level': 729, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 48233098
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81065068204131033, 'source_is_minimal': False, 'source_label': '729.2.e.s.82.2', 'source_level': 729, 'target_conrey_index': 649, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539870812537561, 'target_is_minimal': False, 'target_label': '729.2.e.l.649.1', 'target_level': 729, 'twist_class_label': '729.2.a.b.1.4', 'twist_class_level': 729, 'twisting_char_label': '27.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48233099
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81065068204131033, 'source_is_minimal': False, 'source_label': '729.2.e.s.82.2', 'source_level': 729, 'target_conrey_index': 487, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13510936354620121, 'target_is_minimal': False, 'target_label': '729.2.c.d.487.3', 'target_level': 729, 'twist_class_label': '729.2.a.b.1.4', 'twist_class_level': 729, 'twisting_char_label': '27.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48233100
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81065068204131033, 'source_is_minimal': False, 'source_label': '729.2.e.s.82.2', 'source_level': 729, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014398543037145, 'target_is_minimal': True, 'target_label': '729.2.a.e.1.3', 'target_level': 729, 'twist_class_label': '729.2.a.b.1.4', 'twist_class_level': 729, 'twisting_char_label': '27.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48233101
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81065068204131033, 'source_is_minimal': False, 'source_label': '729.2.e.s.82.2', 'source_level': 729, 'target_conrey_index': 406, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532671557796569, 'target_is_minimal': False, 'target_label': '729.2.e.j.406.2', 'target_level': 729, 'twist_class_label': '729.2.a.b.1.4', 'twist_class_level': 729, 'twisting_char_label': '27.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 48233102
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81065068204131033, 'source_is_minimal': False, 'source_label': '729.2.e.s.82.2', 'source_level': 729, 'target_conrey_index': 163, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45036271185167065, 'target_is_minimal': False, 'target_label': '729.2.e.k.163.2', 'target_level': 729, 'twist_class_label': '729.2.a.b.1.4', 'twist_class_level': 729, 'twisting_char_label': '27.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48233103
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81065068204131033, 'source_is_minimal': False, 'source_label': '729.2.e.s.82.2', 'source_level': 729, 'target_conrey_index': 244, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13510936354620121, 'target_is_minimal': False, 'target_label': '729.2.c.d.244.3', 'target_level': 729, 'twist_class_label': '729.2.a.b.1.4', 'twist_class_level': 729, 'twisting_char_label': '27.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 48233104
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81065068204131033, 'source_is_minimal': False, 'source_label': '729.2.e.s.82.2', 'source_level': 729, 'target_conrey_index': 244, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 137472508633, 'target_is_minimal': False, 'target_label': '729.2.c.a.244.4', 'target_level': 729, 'twist_class_label': '729.2.a.b.1.4', 'twist_class_level': 729, 'twisting_char_label': '27.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 48233105
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81065068204131033, 'source_is_minimal': False, 'source_label': '729.2.e.s.82.2', 'source_level': 729, 'target_conrey_index': 163, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 85568667831501529, 'target_is_minimal': False, 'target_label': '729.2.e.t.163.1', 'target_level': 729, 'twist_class_label': '729.2.a.b.1.4', 'twist_class_level': 729, 'twisting_char_label': '27.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 48233106
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81065068204131033, 'source_is_minimal': False, 'source_label': '729.2.e.s.82.2', 'source_level': 729, 'target_conrey_index': 406, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90072267458872025, 'target_is_minimal': False, 'target_label': '729.2.e.u.406.1', 'target_level': 729, 'twist_class_label': '729.2.a.b.1.4', 'twist_class_level': 729, 'twisting_char_label': '27.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 48233107
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81065068204131033, 'source_is_minimal': False, 'source_label': '729.2.e.s.82.2', 'source_level': 729, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4503599660925657, 'target_is_minimal': True, 'target_label': '729.2.a.b.1.4', 'target_level': 729, 'twist_class_label': '729.2.a.b.1.4', 'twist_class_level': 729, 'twisting_char_label': '27.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 48233108
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81065068204131033, 'source_is_minimal': False, 'source_label': '729.2.e.s.82.2', 'source_level': 729, 'target_conrey_index': 487, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 137472508633, 'target_is_minimal': False, 'target_label': '729.2.c.a.487.4', 'target_level': 729, 'twist_class_label': '729.2.a.b.1.4', 'twist_class_level': 729, 'twisting_char_label': '27.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 48233109
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81065068204131033, 'source_is_minimal': False, 'source_label': '729.2.e.s.82.2', 'source_level': 729, 'target_conrey_index': 649, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 81065068204131033, 'target_is_minimal': False, 'target_label': '729.2.e.s.649.2', 'target_level': 729, 'twist_class_label': '729.2.a.b.1.4', '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: 1260475
{'charpoly_factorization': [[[9, 0, 270, 585, 198, -261, -42, 36, 27, -15, 6, -3, 1], 1]], 'hecke_orbit_code': 81065068204131033, 'p': 2}
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id: 1260476
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 81065068204131033, 'p': 3}
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id: 1260477
{'charpoly_factorization': [[[25281, 31482, 18549, 10215, 6408, 4041, 2820, 1566, 684, 249, 69, 12, 1], 1]], 'hecke_orbit_code': 81065068204131033, 'p': 5}
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id: 1260478
{'charpoly_factorization': [[[18496, 86496, 148224, 111616, 60228, 24714, 7995, 1899, 369, 52, 6, 3, 1], 1]], 'hecke_orbit_code': 81065068204131033, 'p': 7}
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id: 1260479
{'charpoly_factorization': [[[788544, -223776, 4320, 40032, 21744, -1692, 2577, 162, -216, 12, 6, -3, 1], 1]], 'hecke_orbit_code': 81065068204131033, 'p': 11}
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id: 1260480
{'charpoly_factorization': [[[7921, 3471, 6591, -3566, -9396, 1044, 4593, 702, 441, 88, 15, -6, 1], 1]], 'hecke_orbit_code': 81065068204131033, 'p': 13}
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id: 1260481
{'charpoly_factorization': [[[210681, 223074, 285768, 71442, 77274, 18711, 14769, 2430, 1323, 270, 81, 9, 1], 1]], 'hecke_orbit_code': 81065068204131033, 'p': 17}
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id: 1260482
{'charpoly_factorization': [[[87616, -174048, 320880, -141152, 102636, -8172, 17637, 279, 2169, 490, 129, 12, 1], 1]], 'hecke_orbit_code': 81065068204131033, 'p': 19}
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id: 1260483
{'charpoly_factorization': [[[207936, 229824, 870912, 432576, 328248, 177246, 42861, 3330, 576, 564, 168, 21, 1], 1]], 'hecke_orbit_code': 81065068204131033, 'p': 23}
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id: 1260484
{'charpoly_factorization': [[[97594641, 111227661, 66758742, 28751346, 10251234, 2630079, 372963, 13509, -2313, -735, -21, 6, 1], 1]], 'hecke_orbit_code': 81065068204131033, 'p': 29}
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id: 1260485
{'charpoly_factorization': [[[1032256, -2145792, 2975952, -2671976, 1580544, -523278, 76953, 5112, -2682, 151, 24, -6, 1], 1]], 'hecke_orbit_code': 81065068204131033, 'p': 31}
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id: 1260486
{'charpoly_factorization': [[[259499881, -148798833, 136307154, 14382607, 12197421, 875754, 560877, 49716, 14859, 535, 138, 3, 1], 1]], 'hecke_orbit_code': 81065068204131033, 'p': 37}
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id: 1260487
{'charpoly_factorization': [[[534025881, 252696915, -14304222, -9411435, 4456764, -432981, 58818, -4248, 4959, -1623, 213, -15, 1], 1]], 'hecke_orbit_code': 81065068204131033, 'p': 41}
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id: 1260488
{'charpoly_factorization': [[[300814336, 206462976, 96642048, 46574080, 14365440, 2236032, 345792, 50400, 11232, 2608, 384, 30, 1], 1]], 'hecke_orbit_code': 81065068204131033, 'p': 43}
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id: 1260489
{'charpoly_factorization': [[[314565696, 456524640, 137192832, -44724456, 7018956, -813204, 174621, -69372, 21267, -3525, 348, -21, 1], 1]], 'hecke_orbit_code': 81065068204131033, 'p': 47}
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id: 1260490
{'charpoly_factorization': [[[1944, -14580, 1620, 729, -81, -9, 1], 2]], 'hecke_orbit_code': 81065068204131033, 'p': 53}
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id: 1260491
{'charpoly_factorization': [[[166464, -455328, 2852496, -3598416, 1793160, -334674, 19911, -7047, 1602, 1923, 375, 30, 1], 1]], 'hecke_orbit_code': 81065068204131033, 'p': 59}
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id: 1260492
{'charpoly_factorization': [[[2483776, -8415840, 11898336, 12230728, 17459964, 11488392, 4047573, 839259, 107244, 8899, 555, 30, 1], 1]], 'hecke_orbit_code': 81065068204131033, 'p': 61}
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id: 1260493
{'charpoly_factorization': [[[298874944, 445200576, 504914880, 366999928, 168034248, 50719320, 10481673, 1520217, 159102, 12616, 807, 39, 1], 1]], 'hecke_orbit_code': 81065068204131033, 'p': 67}
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id: 1260494
{'charpoly_factorization': [[[862949376, 609140736, 353839104, 104509440, 29922048, 5225472, 1271808, 176256, 29808, 1728, 180, 0, 1], 1]], 'hecke_orbit_code': 81065068204131033, 'p': 71}
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id: 1260495
{'charpoly_factorization': [[[3317875201, 2132389020, 1361321841, 242511088, 85050117, 11914866, 3914682, 353628, 48825, 2236, 300, 12, 1], 1]], 'hecke_orbit_code': 81065068204131033, 'p': 73}
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id: 1260496
{'charpoly_factorization': [[[8681766976, 3640572672, 316247808, 39263992, 33622560, 4633056, 710049, 282312, 27306, -380, 186, -15, 1], 1]], 'hecke_orbit_code': 81065068204131033, 'p': 79}
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id: 1260497
{'charpoly_factorization': [[[18870336, 33778944, 14991696, -744264, 2579184, -392382, 12621, -9522, 8280, -1860, 240, -21, 1], 1]], 'hecke_orbit_code': 81065068204131033, 'p': 83}
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id: 1260498
{'charpoly_factorization': [[[15365337849, -2178792189, 1597483944, -64953171, 97725123, -3590568, 2930769, 55242, 49221, -27, 306, 9, 1], 1]], 'hecke_orbit_code': 81065068204131033, 'p': 89}
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id: 1260499
{'charpoly_factorization': [[[333099001, 668260365, 619763304, 215042848, 55788894, 9202248, 940305, 24426, -7776, -1244, -21, 12, 1], 1]], 'hecke_orbit_code': 81065068204131033, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 19, 'label': '729.2.e.s', 'level': 729, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 246202000
{'hecke_orbit_code': 81065068204131033, 'n': 1, 'trace_an': 12}
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id: 246202001
{'hecke_orbit_code': 81065068204131033, 'n': 2, 'trace_an': 3}
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id: 246202002
{'hecke_orbit_code': 81065068204131033, 'n': 3, 'trace_an': 0}
-
id: 246202003
{'hecke_orbit_code': 81065068204131033, 'n': 4, 'trace_an': -3}
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id: 246202004
{'hecke_orbit_code': 81065068204131033, 'n': 5, 'trace_an': -12}
-
id: 246202005
{'hecke_orbit_code': 81065068204131033, 'n': 6, 'trace_an': 0}
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id: 246202006
{'hecke_orbit_code': 81065068204131033, 'n': 7, 'trace_an': -3}
-
id: 246202007
{'hecke_orbit_code': 81065068204131033, 'n': 8, 'trace_an': 6}
-
id: 246202008
{'hecke_orbit_code': 81065068204131033, 'n': 9, 'trace_an': 0}
-
id: 246202009
{'hecke_orbit_code': 81065068204131033, 'n': 10, 'trace_an': -6}
-
id: 246202010
{'hecke_orbit_code': 81065068204131033, 'n': 11, 'trace_an': 3}
-
id: 246202011
{'hecke_orbit_code': 81065068204131033, 'n': 12, 'trace_an': 0}
-
id: 246202012
{'hecke_orbit_code': 81065068204131033, 'n': 13, 'trace_an': 6}
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id: 246202013
{'hecke_orbit_code': 81065068204131033, 'n': 14, 'trace_an': 6}
-
id: 246202014
{'hecke_orbit_code': 81065068204131033, 'n': 15, 'trace_an': 0}
-
id: 246202015
{'hecke_orbit_code': 81065068204131033, 'n': 16, 'trace_an': 27}
-
id: 246202016
{'hecke_orbit_code': 81065068204131033, 'n': 17, 'trace_an': -9}
-
id: 246202017
{'hecke_orbit_code': 81065068204131033, 'n': 18, 'trace_an': 0}
-
id: 246202018
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