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{'Nk2': 15876, 'analytic_conductor': 31.692624562246184, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [7, -1]], 'atkin_lehner_string': '+-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [3969, 1, [2108, 3727], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 321, 'field_disc_factorization': [[3, 1], [107, 1]], 'field_poly': [1, -4, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-1, -4, 1, 1]], [5, [11, 2, -5, 1]], [11, [-47, -19, 2, 1]], [13, [1, 1]]], 'hecke_orbit': 13, 'hecke_orbit_code': 54043195562004353, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '3969.2.a.m', 'level': 3969, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'minimal_twist': '63.2.f.b', 'nf_label': '3.3.321.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+(1+\\beta _{1}+\\beta _{2})q^{4}+(2+\\beta _{2})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3969.2.a', 'trace_display': [-1, 0, 5, 0], 'trace_hash': 84016329390931241, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.070', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.817', 'prec': 17}, 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mf_newspaces • Show schema
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{'ALdims': [34, 42, 42, 36], 'ALdims_eis_new': [4, 6, 4, 6], 'ALdims_eis_old': [19, 18, 20, 18], 'ALdims_old': [75, 78, 78, 72], 'Nk2': 15876, 'analytic_conductor': 31.692624562246184, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [3969, 1, [2108, 3727], [1, 1]], 'conrey_index': 1, 'cusp_dim': 457, 'dim': 154, 'eis_dim': 95, 'eis_new_dim': 20, 'hecke_cutter_primes': [2, 5, 11, 13], 'hecke_orbit_code': 33558401, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 8, 8, 12, 12, 16], 'label': '3969.2.a', 'level': 3969, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'mf_dim': 552, 'mf_new_dim': 174, 'num_forms': 36, 'plus_dim': 70, 'prim_orbit_index': 1, 'relative_dim': 154, 'sturm_bound': 1008, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [154, 0, 0, 142, 0, 0, 0, 0, 0, -6, 0, 0, -10, 0, 0, 130, 0, 0, 8, 0, 0, 36, 0, 0, 112, 0, 0, 0, 0, 0, -4, 0, 0, 6, 0, 0, -10, 0, 0, -18, 0, 0, 20, 0, 0, 36, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 18, 0, 0, -22, 0, 0, 106, 0, 0, 44, 0, 0, 0, 0, 0, 38, 0, 0, 56, 0, 0, -4, 0, 0, 48, 0, 0, -30, 0, 0, 96, 0, 0, 0, 0, 0, 60, 0, 0, -4, 0, 0, 160, 0, 0, 8, 0, 0, 12, 0, 0, -58, 0, 0, 0, 0, 0, 96, 0, 0, 12, 0, 0, 94, 0, 0, 92, 0, 0, -28, 0, 0, 18, 0, 0, 0, 0, 0, 66, 0, 0, 20, 0, 0, 72, 0, 0, -78, 0, 0, -10, 0, 0, -16, 0, 0, 0, 0, 0, -58, 0, 0, 78, 0, 0, -16, 0, 0, 84, 0, 0, -60, 0, 0, 140, 0, 0, 0, 0, 0, -138, 0, 0, -40, 0, 0, 24, 0, 0, -24, 0, 0, -24, 0, 0, -70, 0, 0, 0, 0, 0, 8, 0, 0, -12, 0, 0, -48, 0, 0, -106, 0, 0, 32, 0, 0, 84, 0, 0, 0, 0, 0, 60, 0, 0, -76, 0, 0, -30, 0, 0, -154, 0, 0, 234, 0, 0, 72, 0, 0, 0, 0, 0, -70, 0, 0, 98, 0, 0, 16, 0, 0, -162, 0, 0, -60, 0, 0, 106, 0, 0, 0, 0, 0, -24, 0, 0, -84, 0, 0, -112, 0, 0, 176, 0, 0, 30, 0, 0, 68, 0, 0, 0, 0, 0, 20, 0, 0, 84, 0, 0, -8, 0, 0, 62, 0, 0, 84, 0, 0, -138, 0, 0, 0, 0, 0, 128, 0, 0, 92, 0, 0, 0, 0, 0, 14, 0, 0, -184, 0, 0, 36, 0, 0, 0, 0, 0, -76, 0, 0, -60, 0, 0, 104, 0, 0, -180, 0, 0, 32, 0, 0, -378, 0, 0, 0, 0, 0, -186, 0, 0, -52, 0, 0, 156, 0, 0, 108, 0, 0, -264, 0, 0, 186, 0, 0, 0, 0, 0, 20, 0, 0, -18, 0, 0, 44, 0, 0, -24, 0, 0, -28, 0, 0, -252, 0, 0, 0, 0, 0, -160, 0, 0, -12, 0, 0, -126, 0, 0, -10, 0, 0, 232, 0, 0, 112, 0, 0, 0, 0, 0, 170, 0, 0, -64, 0, 0, 12, 0, 0, -276, 0, 0, 278, 0, 0, 192, 0, 0, 0, 0, 0, 24, 0, 0, -106, 0, 0, -70, 0, 0, -88, 0, 0, 6, 0, 0, -90, 0, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, -178, 0, 0, 312, 0, 0, 80, 0, 0, -138, 0, 0, 0, 0, 0, -12, 0, 0, 176, 0, 0, -144, 0, 0, -14, 0, 0, 70, 0, 0, -64, 0, 0, 0, 0, 0, 54, 0, 0, -160, 0, 0, 176, 0, 0, 336, 0, 0, -312, 0, 0, -220, 0, 0, 0, 0, 0, -138, 0, 0, 216, 0, 0, 150, 0, 0, -76, 0, 0, -60, 0, 0, -206, 0, 0, 0, 0, 0, 36, 0, 0, 6, 0, 0, -70, 0, 0, 306, 0, 0, -4, 0, 0, 276, 0, 0, 0, 0, 0, -244, 0, 0, 136, 0, 0, -306, 0, 0, 54, 0, 0, -48, 0, 0, 32, 0, 0, 0, 0, 0, 14, 0, 0, -54, 0, 0, 96, 0, 0, -42, 0, 0, 172, 0, 0, 122, 0, 0, 0, 0, 0, -288, 0, 0, -22, 0, 0, 200, 0, 0, -52, 0, 0, -246, 0, 0, 104, 0, 0, 0, 0, 0, 32, 0, 0, 120, 0, 0, -230, 0, 0, -154, 0, 0, -4, 0, 0, 390, 0, 0, 0, 0, 0, 306, 0, 0, 32, 0, 0, -180, 0, 0, 144, 0, 0, -16, 0, 0, 252, 0, 0, 0, 0, 0, 194, 0, 0, -84, 0, 0, 84, 0, 0, 156, 0, 0, -82, 0, 0, -684, 0, 0, 0, 0, 0, 324, 0, 0, -6, 0, 0, 344, 0, 0, 200, 0, 0, 36, 0, 0, -492, 0, 0, 0, 0, 0, 112, 0, 0, -276, 0, 0, 230, 0, 0, -354, 0, 0, 108, 0, 0, -156, 0, 0, 0, 0, 0, -208, 0, 0, -64, 0, 0, -942, 0, 0, 68, 0, 0, 60, 0, 0, 236, 0, 0, 0, 0, 0, -210, 0, 0, -168, 0, 0, 212, 0, 0, -18, 0, 0, 68, 0, 0, -120, 0, 0, 0, 0, 0, 36, 0, 0, -298, 0, 0, -730, 0, 0, -220, 0, 0, -624, 0, 0, -72, 0, 0, 0, 0, 0, -88, 0, 0, -300, 0, 0, -158, 0, 0, -544, 0, 0, 84, 0, 0, -834, 0, 0, 0, 0, 0, -216, 0, 0, 56, 0, 0, -600, 0, 0, -404, 0, 0, -36, 0, 0, 224, 0, 0, 0, 0, 0, 32, 0, 0, -190, 0, 0, 252, 0, 0, 420, 0, 0, -308, 0, 0, -160, 0, 0, 0, 0, 0, 168, 0, 0, 128, 0, 0, 156, 0, 0, 152, 0, 0, -672, 0, 0, -270, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, -22, 0, 0, 276, 0, 0, 200, 0, 0, 156, 0, 0, 0, 0, 0, -280, 0, 0, 36, 0, 0, 204, 0, 0, -168, 0, 0, -894, 0, 0, -220, 0, 0, 0, 0, 0, -60, 0, 0, -46, 0, 0, 212, 0, 0, 252, 0, 0, -580, 0, 0, -306, 0, 0, 0, 0, 0, 48, 0, 0, -238, 0, 0, -132, 0, 0, 156, 0, 0, 300, 0, 0, -170, 0, 0, 0, 0, 0, -12, 0, 0, 168, 0, 0, -378, 0, 0, 2, 0, 0, 56, 0, 0, -216, 0, 0, 0, 0, 0, 98, 0, 0, 12, 0, 0, 108, 0, 0, -390, 0, 0, -8, 0, 0, -40, 0, 0, 0, 0, 0, 122, 0, 0, 54], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47483593
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562004353, 'source_is_minimal': False, 'source_label': '3969.2.a.m.1.1', 'source_level': 3969, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195562004353, 'target_is_minimal': False, 'target_label': '3969.2.a.m.1.1', 'target_level': 3969, 'twist_class_label': '63.2.f.b.22.3', 'twist_class_level': 63, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47483594
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562004353, 'source_is_minimal': False, 'source_label': '3969.2.a.m.1.1', 'source_level': 3969, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 67553994444115841, 'target_is_minimal': False, 'target_label': '3969.2.a.p.1.3', 'target_level': 3969, 'twist_class_label': '63.2.f.b.22.3', 'twist_class_level': 63, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47483595
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562004353, 'source_is_minimal': False, 'source_label': '3969.2.a.m.1.1', 'source_level': 3969, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915666487, 'target_is_minimal': False, 'target_label': '567.2.a.d.1.1', 'target_level': 567, 'twist_class_label': '63.2.f.b.22.3', 'twist_class_level': 63, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 47483596
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562004353, 'source_is_minimal': False, 'source_label': '3969.2.a.m.1.1', 'source_level': 3969, 'target_conrey_index': 442, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007542885680427, 'target_is_minimal': False, 'target_label': '1323.2.f.c.442.1', 'target_level': 1323, 'twist_class_label': '63.2.f.b.22.3', 'twist_class_level': 63, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47483597
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562004353, 'source_is_minimal': False, 'source_label': '3969.2.a.m.1.1', 'source_level': 3969, 'target_conrey_index': 295, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511142513050041, 'target_is_minimal': False, 'target_label': '441.2.f.d.295.3', 'target_level': 441, 'twist_class_label': '63.2.f.b.22.3', 'twist_class_level': 63, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47483598
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562004353, 'source_is_minimal': False, 'source_label': '3969.2.a.m.1.1', 'source_level': 3969, 'target_conrey_index': 883, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007542885680427, 'target_is_minimal': False, 'target_label': '1323.2.f.c.883.1', 'target_level': 1323, 'twist_class_label': '63.2.f.b.22.3', 'twist_class_level': 63, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 47483599
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562004353, 'source_is_minimal': False, 'source_label': '3969.2.a.m.1.1', 'source_level': 3969, 'target_conrey_index': 148, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511142513050041, 'target_is_minimal': False, 'target_label': '441.2.f.d.148.3', 'target_level': 441, 'twist_class_label': '63.2.f.b.22.3', 'twist_class_level': 63, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 47483600
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562004353, 'source_is_minimal': False, 'source_label': '3969.2.a.m.1.1', 'source_level': 3969, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27021597797777975, 'target_is_minimal': False, 'target_label': '567.2.a.g.1.3', 'target_level': 567, 'twist_class_label': '63.2.f.b.22.3', 'twist_class_level': 63, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 47483601
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562004353, 'source_is_minimal': False, 'source_label': '3969.2.a.m.1.1', 'source_level': 3969, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 189151184383124336, 'target_is_minimal': False, 'target_label': '9072.2.a.bq.1.2', 'target_level': 9072, 'twist_class_label': '63.2.f.b.22.3', 'twist_class_level': 63, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 47483602
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562004353, 'source_is_minimal': False, 'source_label': '3969.2.a.m.1.1', 'source_level': 3969, 'target_conrey_index': 361, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977786667, 'target_is_minimal': False, 'target_label': '1323.2.g.b.361.1', 'target_level': 1323, 'twist_class_label': '63.2.f.b.22.3', 'twist_class_level': 63, 'twisting_char_label': '63.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47483603
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562004353, 'source_is_minimal': False, 'source_label': '3969.2.a.m.1.1', 'source_level': 3969, 'target_conrey_index': 79, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511211232526777, 'target_is_minimal': False, 'target_label': '441.2.g.d.79.3', 'target_level': 441, 'twist_class_label': '63.2.f.b.22.3', 'twist_class_level': 63, 'twisting_char_label': '63.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47483604
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562004353, 'source_is_minimal': False, 'source_label': '3969.2.a.m.1.1', 'source_level': 3969, 'target_conrey_index': 802, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511279952004395, 'target_is_minimal': False, 'target_label': '1323.2.h.d.802.3', 'target_level': 1323, 'twist_class_label': '63.2.f.b.22.3', 'twist_class_level': 63, 'twisting_char_label': '63.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 47483605
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562004353, 'source_is_minimal': False, 'source_label': '3969.2.a.m.1.1', 'source_level': 3969, 'target_conrey_index': 226, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014879579374891, 'target_is_minimal': False, 'target_label': '1323.2.h.e.226.3', 'target_level': 1323, 'twist_class_label': '63.2.f.b.22.3', 'twist_class_level': 63, 'twisting_char_label': '63.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47483606
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562004353, 'source_is_minimal': False, 'source_label': '3969.2.a.m.1.1', 'source_level': 3969, 'target_conrey_index': 43, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503943258308671, 'target_is_minimal': True, 'target_label': '63.2.f.b.43.3', 'target_level': 63, 'twist_class_label': '63.2.f.b.22.3', 'twist_class_level': 63, 'twisting_char_label': '63.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 47483607
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562004353, 'source_is_minimal': False, 'source_label': '3969.2.a.m.1.1', 'source_level': 3969, 'target_conrey_index': 67, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511211232526777, 'target_is_minimal': False, 'target_label': '441.2.g.d.67.3', 'target_level': 441, 'twist_class_label': '63.2.f.b.22.3', 'twist_class_level': 63, 'twisting_char_label': '63.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 47483608
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562004353, 'source_is_minimal': False, 'source_label': '3969.2.a.m.1.1', 'source_level': 3969, 'target_conrey_index': 64, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 343630938301, 'target_is_minimal': False, 'target_label': '189.2.f.a.64.1', 'target_level': 189, 'twist_class_label': '63.2.f.b.22.3', 'twist_class_level': 63, 'twisting_char_label': '63.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 47483609
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562004353, 'source_is_minimal': False, 'source_label': '3969.2.a.m.1.1', 'source_level': 3969, 'target_conrey_index': 802, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014879579374891, 'target_is_minimal': False, 'target_label': '1323.2.h.e.802.3', 'target_level': 1323, 'twist_class_label': '63.2.f.b.22.3', 'twist_class_level': 63, 'twisting_char_label': '63.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 47483610
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562004353, 'source_is_minimal': False, 'source_label': '3969.2.a.m.1.1', 'source_level': 3969, 'target_conrey_index': 373, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504080697262521, 'target_is_minimal': False, 'target_label': '441.2.h.b.373.1', 'target_level': 441, 'twist_class_label': '63.2.f.b.22.3', 'twist_class_level': 63, 'twisting_char_label': '63.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 47483611
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562004353, 'source_is_minimal': False, 'source_label': '3969.2.a.m.1.1', 'source_level': 3969, 'target_conrey_index': 79, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014810859897273, 'target_is_minimal': False, 'target_label': '441.2.g.e.79.3', 'target_level': 441, 'twist_class_label': '63.2.f.b.22.3', 'twist_class_level': 63, 'twisting_char_label': '63.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 47483612
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562004353, 'source_is_minimal': False, 'source_label': '3969.2.a.m.1.1', 'source_level': 3969, 'target_conrey_index': 667, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977786667, 'target_is_minimal': False, 'target_label': '1323.2.g.b.667.1', 'target_level': 1323, 'twist_class_label': '63.2.f.b.22.3', 'twist_class_level': 63, 'twisting_char_label': '63.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 47483613
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562004353, 'source_is_minimal': False, 'source_label': '3969.2.a.m.1.1', 'source_level': 3969, 'target_conrey_index': 22, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503943258308671, 'target_is_minimal': True, 'target_label': '63.2.f.b.22.3', 'target_level': 63, 'twist_class_label': '63.2.f.b.22.3', 'twist_class_level': 63, 'twisting_char_label': '63.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 47483614
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562004353, 'source_is_minimal': False, 'source_label': '3969.2.a.m.1.1', 'source_level': 3969, 'target_conrey_index': 226, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511279952004395, 'target_is_minimal': False, 'target_label': '1323.2.h.d.226.3', 'target_level': 1323, 'twist_class_label': '63.2.f.b.22.3', 'twist_class_level': 63, 'twisting_char_label': '63.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 47483615
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562004353, 'source_is_minimal': False, 'source_label': '3969.2.a.m.1.1', 'source_level': 3969, 'target_conrey_index': 214, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007680324633017, 'target_is_minimal': False, 'target_label': '441.2.h.c.214.1', 'target_level': 441, 'twist_class_label': '63.2.f.b.22.3', 'twist_class_level': 63, 'twisting_char_label': '63.40', 'twisting_conrey_index': 40, 'weight': 2}
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id: 47483616
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562004353, 'source_is_minimal': False, 'source_label': '3969.2.a.m.1.1', 'source_level': 3969, 'target_conrey_index': 127, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 343630938301, 'target_is_minimal': False, 'target_label': '189.2.f.a.127.1', 'target_level': 189, 'twist_class_label': '63.2.f.b.22.3', 'twist_class_level': 63, 'twisting_char_label': '63.41', 'twisting_conrey_index': 41, 'weight': 2}
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id: 47483617
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562004353, 'source_is_minimal': False, 'source_label': '3969.2.a.m.1.1', 'source_level': 3969, 'target_conrey_index': 361, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007611605157163, 'target_is_minimal': False, 'target_label': '1323.2.g.c.361.1', 'target_level': 1323, 'twist_class_label': '63.2.f.b.22.3', 'twist_class_level': 63, 'twisting_char_label': '63.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 47483618
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562004353, 'source_is_minimal': False, 'source_label': '3969.2.a.m.1.1', 'source_level': 3969, 'target_conrey_index': 373, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007680324633017, 'target_is_minimal': False, 'target_label': '441.2.h.c.373.1', 'target_level': 441, 'twist_class_label': '63.2.f.b.22.3', 'twist_class_level': 63, 'twisting_char_label': '63.52', 'twisting_conrey_index': 52, 'weight': 2}
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id: 47483619
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562004353, 'source_is_minimal': False, 'source_label': '3969.2.a.m.1.1', 'source_level': 3969, 'target_conrey_index': 214, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504080697262521, 'target_is_minimal': False, 'target_label': '441.2.h.b.214.1', 'target_level': 441, 'twist_class_label': '63.2.f.b.22.3', 'twist_class_level': 63, 'twisting_char_label': '63.58', 'twisting_conrey_index': 58, 'weight': 2}
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id: 47483620
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562004353, 'source_is_minimal': False, 'source_label': '3969.2.a.m.1.1', 'source_level': 3969, 'target_conrey_index': 667, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007611605157163, 'target_is_minimal': False, 'target_label': '1323.2.g.c.667.1', 'target_level': 1323, 'twist_class_label': '63.2.f.b.22.3', 'twist_class_level': 63, 'twisting_char_label': '63.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 47483621
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562004353, 'source_is_minimal': False, 'source_label': '3969.2.a.m.1.1', 'source_level': 3969, 'target_conrey_index': 67, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014810859897273, 'target_is_minimal': False, 'target_label': '441.2.g.e.67.3', 'target_level': 441, 'twist_class_label': '63.2.f.b.22.3', 'twist_class_level': 63, 'twisting_char_label': '63.61', 'twisting_conrey_index': 61, 'weight': 2}
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id: 47483622
{'conductor': 84, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562004353, 'source_is_minimal': False, 'source_label': '3969.2.a.m.1.1', 'source_level': 3969, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 247697979538940784, 'target_is_minimal': False, 'target_label': '9072.2.a.cd.1.2', 'target_level': 9072, 'twist_class_label': '63.2.f.b.22.3', 'twist_class_level': 63, 'twisting_char_label': '84.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 47483623
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562004353, 'source_is_minimal': False, 'source_label': '3969.2.a.m.1.1', 'source_level': 3969, 'target_conrey_index': 1009, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022766028884944, 'target_is_minimal': False, 'target_label': '3024.2.r.g.1009.2', 'target_level': 3024, 'twist_class_label': '63.2.f.b.22.3', 'twist_class_level': 63, 'twisting_char_label': '252.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 47483624
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562004353, 'source_is_minimal': False, 'source_label': '3969.2.a.m.1.1', 'source_level': 3969, 'target_conrey_index': 673, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 45037164538364912, 'target_is_minimal': False, 'target_label': '1008.2.r.k.673.3', 'target_level': 1008, 'twist_class_label': '63.2.f.b.22.3', 'twist_class_level': 63, 'twisting_char_label': '252.139', 'twisting_conrey_index': 139, 'weight': 2}
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id: 47483625
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562004353, 'source_is_minimal': False, 'source_label': '3969.2.a.m.1.1', 'source_level': 3969, 'target_conrey_index': 2017, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022766028884944, 'target_is_minimal': False, 'target_label': '3024.2.r.g.2017.2', 'target_level': 3024, 'twist_class_label': '63.2.f.b.22.3', 'twist_class_level': 63, 'twisting_char_label': '252.167', 'twisting_conrey_index': 167, 'weight': 2}
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id: 47483626
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562004353, 'source_is_minimal': False, 'source_label': '3969.2.a.m.1.1', 'source_level': 3969, 'target_conrey_index': 337, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 45037164538364912, 'target_is_minimal': False, 'target_label': '1008.2.r.k.337.3', 'target_level': 1008, 'twist_class_label': '63.2.f.b.22.3', 'twist_class_level': 63, 'twisting_char_label': '252.223', 'twisting_conrey_index': 223, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3451950
{'charpoly_factorization': [[[-1, -4, 1, 1], 1]], 'hecke_orbit_code': 54043195562004353, 'p': 2}
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id: 3451951
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 54043195562004353, 'p': 3}
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id: 3451952
{'charpoly_factorization': [[[11, 2, -5, 1], 1]], 'hecke_orbit_code': 54043195562004353, 'p': 5}
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id: 3451953
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 54043195562004353, 'p': 7}
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id: 3451954
{'charpoly_factorization': [[[-47, -19, 2, 1], 1]], 'hecke_orbit_code': 54043195562004353, 'p': 11}
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id: 3451955
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 54043195562004353, 'p': 13}
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id: 3451956
{'charpoly_factorization': [[[-27, 39, -12, 1], 1]], 'hecke_orbit_code': 54043195562004353, 'p': 17}
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id: 3451957
{'charpoly_factorization': [[[7, -6, -3, 1], 1]], 'hecke_orbit_code': 54043195562004353, 'p': 19}
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id: 3451958
{'charpoly_factorization': [[[-9, -33, 0, 1], 1]], 'hecke_orbit_code': 54043195562004353, 'p': 23}
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id: 3451959
{'charpoly_factorization': [[[1, -4, -1, 1], 1]], 'hecke_orbit_code': 54043195562004353, 'p': 29}
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id: 3451960
{'charpoly_factorization': [[[-27, -24, -3, 1], 1]], 'hecke_orbit_code': 54043195562004353, 'p': 31}
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id: 3451961
{'charpoly_factorization': [[[81, -54, 3, 1], 1]], 'hecke_orbit_code': 54043195562004353, 'p': 37}
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id: 3451962
{'charpoly_factorization': [[[-353, 155, -22, 1], 1]], 'hecke_orbit_code': 54043195562004353, 'p': 41}
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id: 3451963
{'charpoly_factorization': [[[121, -66, 3, 1], 1]], 'hecke_orbit_code': 54043195562004353, 'p': 43}
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id: 3451964
{'charpoly_factorization': [[[189, -54, -9, 1], 1]], 'hecke_orbit_code': 54043195562004353, 'p': 47}
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id: 3451965
{'charpoly_factorization': [[[9, 75, 18, 1], 1]], 'hecke_orbit_code': 54043195562004353, 'p': 53}
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id: 3451966
{'charpoly_factorization': [[[63, -6, -9, 1], 1]], 'hecke_orbit_code': 54043195562004353, 'p': 59}
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id: 3451967
{'charpoly_factorization': [[[67, -21, -6, 1], 1]], 'hecke_orbit_code': 54043195562004353, 'p': 61}
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id: 3451968
{'charpoly_factorization': [[[683, -207, 0, 1], 1]], 'hecke_orbit_code': 54043195562004353, 'p': 67}
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id: 3451969
{'charpoly_factorization': [[[81, -6, -9, 1], 1]], 'hecke_orbit_code': 54043195562004353, 'p': 71}
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id: 3451970
{'charpoly_factorization': [[[243, -168, 3, 1], 1]], 'hecke_orbit_code': 54043195562004353, 'p': 73}
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id: 3451971
{'charpoly_factorization': [[[769, -48, -15, 1], 1]], 'hecke_orbit_code': 54043195562004353, 'p': 79}
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id: 3451972
{'charpoly_factorization': [[[-27, 39, -12, 1], 1]], 'hecke_orbit_code': 54043195562004353, 'p': 83}
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id: 3451973
{'charpoly_factorization': [[[-379, -151, -2, 1], 1]], 'hecke_orbit_code': 54043195562004353, 'p': 89}
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id: 3451974
{'charpoly_factorization': [[[-603, -114, 3, 1], 1]], 'hecke_orbit_code': 54043195562004353, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 13, 'label': '3969.2.a.m', 'level': 3969, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 57307195
{'hecke_orbit_code': 54043195562004353, 'n': 1, 'trace_an': 3}
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id: 57307196
{'hecke_orbit_code': 54043195562004353, 'n': 2, 'trace_an': -1}
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id: 57307197
{'hecke_orbit_code': 54043195562004353, 'n': 3, 'trace_an': 0}
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id: 57307198
{'hecke_orbit_code': 54043195562004353, 'n': 4, 'trace_an': 3}
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id: 57307199
{'hecke_orbit_code': 54043195562004353, 'n': 5, 'trace_an': 5}
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