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mf_newforms • Show schema
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{'Nk2': 128, 'analytic_conductor': 0.4720152800459249, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 8, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [8, 2, [7, 5], [2, 1]], 'cm_discs': [], 'conrey_index': 5, 'conrey_indexes': [5], 'dim': 2, 'field_disc': -7, 'field_disc_factorization': [[-1, 1], [7, 1]], 'field_poly': [2, -1, 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': [], 'hecke_orbit': 1, 'hecke_orbit_code': 68786585608, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '8.4.b.a', 'level': 8, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2], 'level_radical': 2, 'minimal_twist': '8.4.b.a', 'nf_label': '2.0.7.1', 'prim_orbit_index': 2, 'qexp_display': 'q+(-1-\\beta )q^{2}+2\\beta q^{3}+(-6+2\\beta )q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '3.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8.4.b', 'trace_display': [-2, 0, 0, -16], 'trace_hash': 1437430701473977649, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.930', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.024', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.916', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.816', 'prec': 17}, {'__RealLiteral__': 0, 'data': '145.243', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.506', 'prec': 17}, 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mf_hecke_cc • Show schema
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'hecke_orbit_code': 68786585608, 'label': '8.4.b.a.5.2', 'level': 8, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 128, 'analytic_conductor': 0.4720152800459249, 'char_conductor': 8, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [8, 2, [7, 5], [2, 1]], 'conrey_index': 5, 'cusp_dim': 2, 'dim': 2, 'eis_dim': 2, 'eis_new_dim': 2, 'hecke_cutter_primes': [], 'hecke_orbit_code': 68786585608, 'hecke_orbit_dims': [2], 'label': '8.4.b', 'level': 8, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2], 'level_radical': 2, 'mf_dim': 4, 'mf_new_dim': 4, 'num_forms': 1, 'prim_orbit_index': 2, 'relative_dim': 2, 'sturm_bound': 4, 'trace_bound': 0, 'trace_display': [-2, 0, 0, -16], 'traces': [2, -2, 0, -12, 0, 28, -16, 40, -2, -56, 0, -56, 0, 16, 112, 16, -28, 2, 0, 112, 0, -84, -304, -112, 26, 280, 0, 96, 0, -112, 448, -352, 168, 28, 0, 12, 0, -196, -560, 224, -140, -224, 0, 168, 0, 304, 672, 672, -558, -26, 0, -560, 0, 728, -336, -320, 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mf_twists_cc • Show schema
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id: 617563
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 5, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 68786585608, 'source_is_minimal': True, 'source_label': '8.4.b.a.5.2', 'source_level': 8, 'target_conrey_index': 5, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 68786585608, 'target_is_minimal': True, 'target_label': '8.4.b.a.5.2', 'target_level': 8, 'twist_class_label': '8.4.b.a.5.1', 'twist_class_level': 8, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 617564
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 5, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 68786585608, 'source_is_minimal': True, 'source_label': '8.4.b.a.5.2', 'source_level': 8, 'target_conrey_index': 37, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503805852909640, 'target_is_minimal': False, 'target_label': '72.4.d.b.37.1', 'target_level': 72, 'twist_class_label': '8.4.b.a.5.1', 'twist_class_level': 8, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 617565
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 5, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 68786585608, 'source_is_minimal': True, 'source_label': '8.4.b.a.5.2', 'source_level': 8, 'target_conrey_index': 17, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 68786585632, 'target_is_minimal': False, 'target_label': '32.4.b.a.17.2', 'target_level': 32, 'twist_class_label': '8.4.b.a.5.1', 'twist_class_level': 8, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 617566
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 5, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 68786585608, 'source_is_minimal': True, 'source_label': '8.4.b.a.5.2', 'source_level': 8, 'target_conrey_index': 149, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 343664492744, 'target_is_minimal': False, 'target_label': '200.4.f.a.149.1', 'target_level': 200, 'twist_class_label': '8.4.b.a.5.1', 'twist_class_level': 8, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 617567
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 5, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 68786585608, 'source_is_minimal': True, 'source_label': '8.4.b.a.5.2', 'source_level': 8, 'target_conrey_index': 149, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 343664492744, 'target_is_minimal': False, 'target_label': '200.4.f.a.149.4', 'target_level': 200, 'twist_class_label': '8.4.b.a.5.1', 'twist_class_level': 8, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 617568
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 5, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 68786585608, 'source_is_minimal': True, 'source_label': '8.4.b.a.5.2', 'source_level': 8, 'target_conrey_index': 101, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206225539272, 'target_is_minimal': False, 'target_label': '200.4.d.a.101.1', 'target_level': 200, 'twist_class_label': '8.4.b.a.5.1', 'twist_class_level': 8, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 617569
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 5, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 68786585608, 'source_is_minimal': True, 'source_label': '8.4.b.a.5.2', 'source_level': 8, 'target_conrey_index': 17, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 68786585632, 'target_is_minimal': False, 'target_label': '32.4.b.a.17.1', 'target_level': 32, 'twist_class_label': '8.4.b.a.5.1', 'twist_class_level': 8, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 617570
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 5, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 68786585608, 'source_is_minimal': True, 'source_label': '8.4.b.a.5.2', 'source_level': 8, 'target_conrey_index': 5, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 68786585608, 'target_is_minimal': True, 'target_label': '8.4.b.a.5.1', 'target_level': 8, 'twist_class_label': '8.4.b.a.5.1', 'twist_class_level': 8, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 617571
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 5, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 68786585608, 'source_is_minimal': True, 'source_label': '8.4.b.a.5.2', 'source_level': 8, 'target_conrey_index': 145, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206225539360, 'target_is_minimal': False, 'target_label': '288.4.d.a.145.1', 'target_level': 288, 'twist_class_label': '8.4.b.a.5.1', 'twist_class_level': 8, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 4}
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id: 617572
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 5, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 68786585608, 'source_is_minimal': True, 'source_label': '8.4.b.a.5.2', 'source_level': 8, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396713443584, 'target_is_minimal': False, 'target_label': '256.4.a.j.1.1', 'target_level': 256, 'twist_class_label': '8.4.b.a.5.1', 'twist_class_level': 8, 'twisting_char_label': '16.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 617573
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 5, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 68786585608, 'source_is_minimal': True, 'source_label': '8.4.b.a.5.2', 'source_level': 8, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595968184576, 'target_is_minimal': False, 'target_label': '256.4.a.l.1.1', 'target_level': 256, 'twist_class_label': '8.4.b.a.5.1', 'twist_class_level': 8, 'twisting_char_label': '16.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 617574
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 5, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 68786585608, 'source_is_minimal': True, 'source_label': '8.4.b.a.5.2', 'source_level': 8, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532396713443584, 'target_is_minimal': False, 'target_label': '256.4.a.j.1.2', 'target_level': 256, 'twist_class_label': '8.4.b.a.5.1', 'twist_class_level': 8, 'twisting_char_label': '16.11', 'twisting_conrey_index': 11, 'weight': 4}
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id: 617575
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 5, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 68786585608, 'source_is_minimal': True, 'source_label': '8.4.b.a.5.2', 'source_level': 8, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49539595968184576, 'target_is_minimal': False, 'target_label': '256.4.a.l.1.2', 'target_level': 256, 'twist_class_label': '8.4.b.a.5.1', 'twist_class_level': 8, 'twisting_char_label': '16.13', 'twisting_conrey_index': 13, 'weight': 4}
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id: 617576
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 5, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 68786585608, 'source_is_minimal': True, 'source_label': '8.4.b.a.5.2', 'source_level': 8, 'target_conrey_index': 49, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 343664493344, 'target_is_minimal': False, 'target_label': '800.4.f.a.49.1', 'target_level': 800, 'twist_class_label': '8.4.b.a.5.1', 'twist_class_level': 8, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 617577
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 5, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 68786585608, 'source_is_minimal': True, 'source_label': '8.4.b.a.5.2', 'source_level': 8, 'target_conrey_index': 49, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 343664493344, 'target_is_minimal': False, 'target_label': '800.4.f.a.49.4', 'target_level': 800, 'twist_class_label': '8.4.b.a.5.1', 'twist_class_level': 8, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 4}
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id: 617578
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 5, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 68786585608, 'source_is_minimal': True, 'source_label': '8.4.b.a.5.2', 'source_level': 8, 'target_conrey_index': 401, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206225539872, 'target_is_minimal': False, 'target_label': '800.4.d.a.401.1', 'target_level': 800, 'twist_class_label': '8.4.b.a.5.1', 'twist_class_level': 8, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 4}
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id: 617579
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 5, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 68786585608, 'source_is_minimal': True, 'source_label': '8.4.b.a.5.2', 'source_level': 8, 'target_conrey_index': 37, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503805852909640, 'target_is_minimal': False, 'target_label': '72.4.d.b.37.2', 'target_level': 72, 'twist_class_label': '8.4.b.a.5.1', 'twist_class_level': 8, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 617580
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 5, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 68786585608, 'source_is_minimal': True, 'source_label': '8.4.b.a.5.2', 'source_level': 8, 'target_conrey_index': 145, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 206225539360, 'target_is_minimal': False, 'target_label': '288.4.d.a.145.2', 'target_level': 288, 'twist_class_label': '8.4.b.a.5.1', 'twist_class_level': 8, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 4}
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id: 617581
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 5, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 68786585608, 'source_is_minimal': True, 'source_label': '8.4.b.a.5.2', 'source_level': 8, 'target_conrey_index': 49, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 343664493344, 'target_is_minimal': False, 'target_label': '800.4.f.a.49.3', 'target_level': 800, 'twist_class_label': '8.4.b.a.5.1', 'twist_class_level': 8, 'twisting_char_label': '40.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 617582
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 5, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 68786585608, 'source_is_minimal': True, 'source_label': '8.4.b.a.5.2', 'source_level': 8, 'target_conrey_index': 149, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 343664492744, 'target_is_minimal': False, 'target_label': '200.4.f.a.149.2', 'target_level': 200, 'twist_class_label': '8.4.b.a.5.1', 'twist_class_level': 8, 'twisting_char_label': '40.13', 'twisting_conrey_index': 13, 'weight': 4}
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id: 617583
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 5, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 68786585608, 'source_is_minimal': True, 'source_label': '8.4.b.a.5.2', 'source_level': 8, 'target_conrey_index': 401, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 206225539872, 'target_is_minimal': False, 'target_label': '800.4.d.a.401.2', 'target_level': 800, 'twist_class_label': '8.4.b.a.5.1', 'twist_class_level': 8, 'twisting_char_label': '40.19', 'twisting_conrey_index': 19, 'weight': 4}
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id: 617584
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 5, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 68786585608, 'source_is_minimal': True, 'source_label': '8.4.b.a.5.2', 'source_level': 8, 'target_conrey_index': 49, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 343664493344, 'target_is_minimal': False, 'target_label': '800.4.f.a.49.2', 'target_level': 800, 'twist_class_label': '8.4.b.a.5.1', 'twist_class_level': 8, 'twisting_char_label': '40.27', 'twisting_conrey_index': 27, 'weight': 4}
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id: 617585
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 5, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 68786585608, 'source_is_minimal': True, 'source_label': '8.4.b.a.5.2', 'source_level': 8, 'target_conrey_index': 101, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 206225539272, 'target_is_minimal': False, 'target_label': '200.4.d.a.101.2', 'target_level': 200, 'twist_class_label': '8.4.b.a.5.1', 'twist_class_level': 8, 'twisting_char_label': '40.29', 'twisting_conrey_index': 29, 'weight': 4}
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id: 617586
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 5, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 68786585608, 'source_is_minimal': True, 'source_label': '8.4.b.a.5.2', 'source_level': 8, 'target_conrey_index': 149, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 343664492744, 'target_is_minimal': False, 'target_label': '200.4.f.a.149.3', 'target_level': 200, 'twist_class_label': '8.4.b.a.5.1', 'twist_class_level': 8, 'twisting_char_label': '40.37', 'twisting_conrey_index': 37, 'weight': 4}
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id: 617587
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 5, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 68786585608, 'source_is_minimal': True, 'source_label': '8.4.b.a.5.2', 'source_level': 8, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 175640385534560512, 'target_is_minimal': False, 'target_label': '2304.4.a.bn.1.2', 'target_level': 2304, 'twist_class_label': '8.4.b.a.5.1', 'twist_class_level': 8, 'twisting_char_label': '48.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 617588
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 5, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 68786585608, 'source_is_minimal': True, 'source_label': '8.4.b.a.5.2', 'source_level': 8, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 94575592241891584, 'target_is_minimal': False, 'target_label': '2304.4.a.v.1.2', 'target_level': 2304, 'twist_class_label': '8.4.b.a.5.1', 'twist_class_level': 8, 'twisting_char_label': '48.11', 'twisting_conrey_index': 11, 'weight': 4}
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id: 617589
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 5, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 68786585608, 'source_is_minimal': True, 'source_label': '8.4.b.a.5.2', 'source_level': 8, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 175640385534560512, 'target_is_minimal': False, 'target_label': '2304.4.a.bn.1.1', 'target_level': 2304, 'twist_class_label': '8.4.b.a.5.1', 'twist_class_level': 8, 'twisting_char_label': '48.29', 'twisting_conrey_index': 29, 'weight': 4}
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id: 617590
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 5, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 68786585608, 'source_is_minimal': True, 'source_label': '8.4.b.a.5.2', 'source_level': 8, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 94575592241891584, 'target_is_minimal': False, 'target_label': '2304.4.a.v.1.1', 'target_level': 2304, 'twist_class_label': '8.4.b.a.5.1', 'twist_class_level': 8, 'twisting_char_label': '48.35', 'twisting_conrey_index': 35, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 32800
{'charpoly_factorization': [[[8, 2, 1], 1]], 'hecke_orbit_code': 68786585608, 'p': 2}
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id: 32801
{'charpoly_factorization': [[[28, 0, 1], 1]], 'hecke_orbit_code': 68786585608, 'p': 3}
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id: 32802
{'charpoly_factorization': [[[112, 0, 1], 1]], 'hecke_orbit_code': 68786585608, 'p': 5}
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id: 32803
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 68786585608, 'p': 7}
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id: 32804
{'charpoly_factorization': [[[252, 0, 1], 1]], 'hecke_orbit_code': 68786585608, 'p': 11}
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id: 32805
{'charpoly_factorization': [[[2800, 0, 1], 1]], 'hecke_orbit_code': 68786585608, 'p': 13}
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id: 32806
{'charpoly_factorization': [[[14, 1], 2]], 'hecke_orbit_code': 68786585608, 'p': 17}
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id: 32807
{'charpoly_factorization': [[[1372, 0, 1], 1]], 'hecke_orbit_code': 68786585608, 'p': 19}
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id: 32808
{'charpoly_factorization': [[[152, 1], 2]], 'hecke_orbit_code': 68786585608, 'p': 23}
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id: 32809
{'charpoly_factorization': [[[25200, 0, 1], 1]], 'hecke_orbit_code': 68786585608, 'p': 29}
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id: 32810
{'charpoly_factorization': [[[-224, 1], 2]], 'hecke_orbit_code': 68786585608, 'p': 31}
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id: 32811
{'charpoly_factorization': [[[59248, 0, 1], 1]], 'hecke_orbit_code': 68786585608, 'p': 37}
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id: 32812
{'charpoly_factorization': [[[70, 1], 2]], 'hecke_orbit_code': 68786585608, 'p': 41}
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id: 32813
{'charpoly_factorization': [[[192892, 0, 1], 1]], 'hecke_orbit_code': 68786585608, 'p': 43}
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id: 32814
{'charpoly_factorization': [[[-336, 1], 2]], 'hecke_orbit_code': 68786585608, 'p': 47}
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id: 32815
{'charpoly_factorization': [[[1008, 0, 1], 1]], 'hecke_orbit_code': 68786585608, 'p': 53}
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id: 32816
{'charpoly_factorization': [[[285628, 0, 1], 1]], 'hecke_orbit_code': 68786585608, 'p': 59}
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id: 32817
{'charpoly_factorization': [[[9072, 0, 1], 1]], 'hecke_orbit_code': 68786585608, 'p': 61}
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id: 32818
{'charpoly_factorization': [[[30492, 0, 1], 1]], 'hecke_orbit_code': 68786585608, 'p': 67}
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id: 32819
{'charpoly_factorization': [[[72, 1], 2]], 'hecke_orbit_code': 68786585608, 'p': 71}
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id: 32820
{'charpoly_factorization': [[[294, 1], 2]], 'hecke_orbit_code': 68786585608, 'p': 73}
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id: 32821
{'charpoly_factorization': [[[464, 1], 2]], 'hecke_orbit_code': 68786585608, 'p': 79}
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id: 32822
{'charpoly_factorization': [[[297052, 0, 1], 1]], 'hecke_orbit_code': 68786585608, 'p': 83}
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id: 32823
{'charpoly_factorization': [[[-266, 1], 2]], 'hecke_orbit_code': 68786585608, 'p': 89}
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id: 32824
{'charpoly_factorization': [[[-994, 1], 2]], 'hecke_orbit_code': 68786585608, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 1, 'label': '8.4.b.a', 'level': 8, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 18581000
{'hecke_orbit_code': 68786585608, 'n': 1, 'trace_an': 2}
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id: 18581001
{'hecke_orbit_code': 68786585608, 'n': 2, 'trace_an': -2}
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id: 18581002
{'hecke_orbit_code': 68786585608, 'n': 3, 'trace_an': 0}
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id: 18581003
{'hecke_orbit_code': 68786585608, 'n': 4, 'trace_an': -12}
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id: 18581004
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