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mf_newforms • Show schema
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{'Nk2': 3200, 'analytic_conductor': 11.800382001148122, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 40, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [200, 2, [151, 101, 177], [2, 1, 1]], 'cm_discs': [], 'conrey_index': 149, 'conrey_indexes': [149], 'dim': 4, 'field_disc': 784, 'field_disc_factorization': [[2, 4], [7, 2]], 'field_poly': [4, 0, -3, 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': [[3, [-28, 0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 343664492744, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 16, 'hecke_ring_index_factorization': [[2, 4]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0], [1, 1, 8, 2, 1, 2, 0], [1, 1, 40, 6, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '200.4.f.a', 'level': 200, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'minimal_twist': '8.4.b.a', 'nf_label': '4.0.784.1', 'prim_orbit_index': 6, 'qexp_display': 'q-\\beta _{1}q^{2}+(-2\\beta _{1}+\\beta _{2})q^{3}+(6+\\beta _{3})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '3.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '200.4.f', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1035330383154371614, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.002', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.728', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.536', 'prec': 17}, {'__RealLiteral__': 0, 'data': '116.897', 'prec': 24}, {'__RealLiteral__': 0, 'data': '47.209', 'prec': 20}, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 3200, 'analytic_conductor': 11.800382001148122, 'char_conductor': 40, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [200, 2, [151, 101, 177], [2, 1, 1]], 'conrey_index': 149, 'cusp_dim': 84, 'dim': 52, 'eis_dim': 12, 'eis_new_dim': 4, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 343664492744, 'hecke_orbit_dims': [4, 12, 12, 24], 'label': '200.4.f', 'level': 200, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'mf_dim': 96, 'mf_new_dim': 56, 'num_forms': 4, 'prim_orbit_index': 6, 'relative_dim': 52, 'sturm_bound': 120, 'trace_bound': 2, 'trace_display': [0, 0, 0, 0], 'traces': [52, 0, 0, -10, 0, 2, 0, 0, 436, 0, 0, 0, 0, 56, 0, 258, 0, 0, 0, 0, 0, 0, 0, 74, 0, -432, 0, 0, 0, 0, -160, 0, 0, -626, 0, -496, 0, 0, 520, 0, -240, 0, 0, -158, 0, -1104, 0, 0, -1956, 0, 0, 0, 0, 3242, 0, 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0, 0, 0, 150208, 0, -84696, 0, 0, 0, 0, 0, 0, 0, 260942, 0, -128920, 0, 0, 0, 0, 136040, 0, 0, 103872, 0, 339274, 0, 0, -152408, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 3613485
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 149, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343664492744, 'source_is_minimal': False, 'source_label': '200.4.f.a.149.2', 'source_level': 200, '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': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 3613486
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 149, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343664492744, 'source_is_minimal': False, 'source_label': '200.4.f.a.149.2', 'source_level': 200, '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': '4.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 3613487
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 149, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343664492744, 'source_is_minimal': False, 'source_label': '200.4.f.a.149.2', 'source_level': 200, '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': '5.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 3613488
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 149, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343664492744, 'source_is_minimal': False, 'source_label': '200.4.f.a.149.2', 'source_level': 200, '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': '5.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 3613489
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 149, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343664492744, 'source_is_minimal': False, 'source_label': '200.4.f.a.149.2', 'source_level': 200, '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': '5.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 3613490
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 149, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343664492744, 'source_is_minimal': False, 'source_label': '200.4.f.a.149.2', 'source_level': 200, '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': '8.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 3613491
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 149, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343664492744, 'source_is_minimal': False, 'source_label': '200.4.f.a.149.2', 'source_level': 200, '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': '8.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 3613492
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 149, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343664492744, 'source_is_minimal': False, 'source_label': '200.4.f.a.149.2', 'source_level': 200, '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': '15.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 3613493
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 149, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343664492744, 'source_is_minimal': False, 'source_label': '200.4.f.a.149.2', 'source_level': 200, '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': '20.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 3613494
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 149, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343664492744, 'source_is_minimal': False, 'source_label': '200.4.f.a.149.2', 'source_level': 200, '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': '20.7', 'twisting_conrey_index': 7, 'weight': 4}
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id: 3613495
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 149, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343664492744, 'source_is_minimal': False, 'source_label': '200.4.f.a.149.2', 'source_level': 200, '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': '20.19', 'twisting_conrey_index': 19, 'weight': 4}
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id: 3613496
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 149, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343664492744, 'source_is_minimal': False, 'source_label': '200.4.f.a.149.2', 'source_level': 200, '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': '40.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 3613497
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 149, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343664492744, 'source_is_minimal': False, 'source_label': '200.4.f.a.149.2', 'source_level': 200, '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': '40.13', 'twisting_conrey_index': 13, 'weight': 4}
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id: 3613498
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 149, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343664492744, 'source_is_minimal': False, 'source_label': '200.4.f.a.149.2', 'source_level': 200, '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': '40.19', 'twisting_conrey_index': 19, 'weight': 4}
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id: 3613499
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 149, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343664492744, 'source_is_minimal': False, 'source_label': '200.4.f.a.149.2', 'source_level': 200, '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': '40.27', 'twisting_conrey_index': 27, 'weight': 4}
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id: 3613500
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 149, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343664492744, 'source_is_minimal': False, 'source_label': '200.4.f.a.149.2', 'source_level': 200, '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': '40.29', 'twisting_conrey_index': 29, 'weight': 4}
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id: 3613501
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 149, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343664492744, 'source_is_minimal': False, 'source_label': '200.4.f.a.149.2', 'source_level': 200, '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': '40.37', 'twisting_conrey_index': 37, 'weight': 4}
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id: 3613502
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 149, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343664492744, 'source_is_minimal': False, 'source_label': '200.4.f.a.149.2', 'source_level': 200, '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': '60.47', 'twisting_conrey_index': 47, 'weight': 4}
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id: 3613503
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 149, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343664492744, 'source_is_minimal': False, 'source_label': '200.4.f.a.149.2', 'source_level': 200, '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': '80.27', 'twisting_conrey_index': 27, 'weight': 4}
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id: 3613504
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 149, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343664492744, 'source_is_minimal': False, 'source_label': '200.4.f.a.149.2', 'source_level': 200, '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': '80.37', 'twisting_conrey_index': 37, 'weight': 4}
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id: 3613505
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 149, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343664492744, 'source_is_minimal': False, 'source_label': '200.4.f.a.149.2', 'source_level': 200, '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': '80.67', 'twisting_conrey_index': 67, 'weight': 4}
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id: 3613506
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 149, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343664492744, 'source_is_minimal': False, 'source_label': '200.4.f.a.149.2', 'source_level': 200, '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': '80.77', 'twisting_conrey_index': 77, 'weight': 4}
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id: 3613507
{'conductor': 120, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 149, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343664492744, 'source_is_minimal': False, 'source_label': '200.4.f.a.149.2', 'source_level': 200, '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': '120.77', 'twisting_conrey_index': 77, 'weight': 4}
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id: 3613508
{'conductor': 120, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 149, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343664492744, 'source_is_minimal': False, 'source_label': '200.4.f.a.149.2', 'source_level': 200, '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': '120.107', 'twisting_conrey_index': 107, 'weight': 4}
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id: 3613509
{'conductor': 240, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 149, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343664492744, 'source_is_minimal': False, 'source_label': '200.4.f.a.149.2', 'source_level': 200, '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': '240.77', 'twisting_conrey_index': 77, 'weight': 4}
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id: 3613510
{'conductor': 240, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 149, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343664492744, 'source_is_minimal': False, 'source_label': '200.4.f.a.149.2', 'source_level': 200, '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': '240.107', 'twisting_conrey_index': 107, 'weight': 4}
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id: 3613511
{'conductor': 240, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 149, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343664492744, 'source_is_minimal': False, 'source_label': '200.4.f.a.149.2', 'source_level': 200, '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': '240.197', 'twisting_conrey_index': 197, 'weight': 4}
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id: 3613512
{'conductor': 240, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 149, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343664492744, 'source_is_minimal': False, 'source_label': '200.4.f.a.149.2', 'source_level': 200, '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': '240.227', 'twisting_conrey_index': 227, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 500650
{'charpoly_factorization': [[[64, 0, -12, 0, 1], 1]], 'hecke_orbit_code': 343664492744, 'p': 2}
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id: 500651
{'charpoly_factorization': [[[-28, 0, 1], 2]], 'hecke_orbit_code': 343664492744, 'p': 3}
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id: 500652
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 343664492744, 'p': 5}
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id: 500653
{'charpoly_factorization': [[[64, 0, 1], 2]], 'hecke_orbit_code': 343664492744, 'p': 7}
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id: 500654
{'charpoly_factorization': [[[252, 0, 1], 2]], 'hecke_orbit_code': 343664492744, 'p': 11}
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id: 500655
{'charpoly_factorization': [[[-2800, 0, 1], 2]], 'hecke_orbit_code': 343664492744, 'p': 13}
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id: 500656
{'charpoly_factorization': [[[196, 0, 1], 2]], 'hecke_orbit_code': 343664492744, 'p': 17}
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id: 500657
{'charpoly_factorization': [[[1372, 0, 1], 2]], 'hecke_orbit_code': 343664492744, 'p': 19}
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id: 500658
{'charpoly_factorization': [[[23104, 0, 1], 2]], 'hecke_orbit_code': 343664492744, 'p': 23}
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id: 500659
{'charpoly_factorization': [[[25200, 0, 1], 2]], 'hecke_orbit_code': 343664492744, 'p': 29}
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id: 500660
{'charpoly_factorization': [[[-224, 1], 4]], 'hecke_orbit_code': 343664492744, 'p': 31}
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id: 500661
{'charpoly_factorization': [[[-59248, 0, 1], 2]], 'hecke_orbit_code': 343664492744, 'p': 37}
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id: 500662
{'charpoly_factorization': [[[70, 1], 4]], 'hecke_orbit_code': 343664492744, 'p': 41}
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id: 500663
{'charpoly_factorization': [[[-192892, 0, 1], 2]], 'hecke_orbit_code': 343664492744, 'p': 43}
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id: 500664
{'charpoly_factorization': [[[112896, 0, 1], 2]], 'hecke_orbit_code': 343664492744, 'p': 47}
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id: 500665
{'charpoly_factorization': [[[-1008, 0, 1], 2]], 'hecke_orbit_code': 343664492744, 'p': 53}
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id: 500666
{'charpoly_factorization': [[[285628, 0, 1], 2]], 'hecke_orbit_code': 343664492744, 'p': 59}
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id: 500667
{'charpoly_factorization': [[[9072, 0, 1], 2]], 'hecke_orbit_code': 343664492744, 'p': 61}
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id: 500668
{'charpoly_factorization': [[[-30492, 0, 1], 2]], 'hecke_orbit_code': 343664492744, 'p': 67}
-
id: 500669
{'charpoly_factorization': [[[72, 1], 4]], 'hecke_orbit_code': 343664492744, 'p': 71}
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id: 500670
{'charpoly_factorization': [[[86436, 0, 1], 2]], 'hecke_orbit_code': 343664492744, 'p': 73}
-
id: 500671
{'charpoly_factorization': [[[-464, 1], 4]], 'hecke_orbit_code': 343664492744, 'p': 79}
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id: 500672
{'charpoly_factorization': [[[-297052, 0, 1], 2]], 'hecke_orbit_code': 343664492744, 'p': 83}
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id: 500673
{'charpoly_factorization': [[[266, 1], 4]], 'hecke_orbit_code': 343664492744, 'p': 89}
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id: 500674
{'charpoly_factorization': [[[988036, 0, 1], 2]], 'hecke_orbit_code': 343664492744, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 1, 'label': '200.4.f.a', 'level': 200, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
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id: 32624000
{'hecke_orbit_code': 343664492744, 'n': 1, 'trace_an': 4}
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id: 32624001
{'hecke_orbit_code': 343664492744, 'n': 2, 'trace_an': 0}
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id: 32624002
{'hecke_orbit_code': 343664492744, 'n': 3, 'trace_an': 0}
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id: 32624003
{'hecke_orbit_code': 343664492744, 'n': 4, 'trace_an': 24}
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id: 32624004
{'hecke_orbit_code': 343664492744, 'n': 5, 'trace_an': 0}
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id: 32624005
{'hecke_orbit_code': 343664492744, 'n': 6, 'trace_an': 56}
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id: 32624006
{'hecke_orbit_code': 343664492744, 'n': 7, 'trace_an': 0}
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id: 32624007
{'hecke_orbit_code': 343664492744, 'n': 8, 'trace_an': 0}
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id: 32624008
{'hecke_orbit_code': 343664492744, 'n': 9, 'trace_an': 4}
-
id: 32624009
{'hecke_orbit_code': 343664492744, 'n': 10, 'trace_an': 0}
-
id: 32624010
{'hecke_orbit_code': 343664492744, 'n': 11, 'trace_an': 0}
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id: 32624011
{'hecke_orbit_code': 343664492744, 'n': 12, 'trace_an': 0}
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id: 32624012
{'hecke_orbit_code': 343664492744, 'n': 13, 'trace_an': 0}
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id: 32624013
{'hecke_orbit_code': 343664492744, 'n': 14, 'trace_an': -32}
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id: 32624014
{'hecke_orbit_code': 343664492744, 'n': 15, 'trace_an': 0}
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id: 32624015
{'hecke_orbit_code': 343664492744, 'n': 16, 'trace_an': 32}
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id: 32624016
{'hecke_orbit_code': 343664492744, 'n': 17, 'trace_an': 0}
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id: 32624017
{'hecke_orbit_code': 343664492744, 'n': 18, 'trace_an': 0}
-
id: 32624018
{'hecke_orbit_code': 343664492744, 'n': 19, 'trace_an': 0}
-
id: 32624019
{'hecke_orbit_code': 343664492744, 'n': 20, 'trace_an': 0}
-
id: 32624020
{'hecke_orbit_code': 343664492744, 'n': 21, 'trace_an': 0}
-
id: 32624021
{'hecke_orbit_code': 343664492744, 'n': 22, 'trace_an': 0}
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id: 32624022
{'hecke_orbit_code': 343664492744, 'n': 23, 'trace_an': 0}
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