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mf_newforms • Show schema
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{'Nk2': 28800, 'analytic_conductor': 57.492289455321874, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, 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': [7200, 1, [6751, 901, 6401, 577], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 5, 'field_disc_factorization': [[5, 1]], 'field_poly': [-1, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 10, 'fricke_eigenval': -1, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [-20, 0, 1]], [11, [-5, 0, 1]], [13, [4, 1]], [17, [7, 1]], [19, [-45, 0, 1]], [23, [-20, 0, 1]]], 'hecke_orbit': 58, 'hecke_orbit_code': 256705178793679904, 'hecke_ring_generator_nbound': 11, '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, 4, 2, -1, 2, 0]], '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': '7200.2.a.cf', 'level': 7200, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '800.2.a.k', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q-2\\beta q^{7}-\\beta q^{11}-4q^{13}-7q^{17}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7200.2.a', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1554950676004357411, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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'weight': 2, 'weight_parity': 1}
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mf_hecke_cc • Show schema
Hide schema
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'dual_conrey_index': 1, 'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': 0.0, 'embedding_root_real': 1.618033988749895, 'hecke_orbit': 58, 'hecke_orbit_code': 256705178793679904, 'label': '7200.2.a.cf.1.1', 'level': 7200, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [9, 10, 15, 14, 9, 10, 12, 16], 'Nk2': 28800, 'analytic_conductor': 57.492289455321874, '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': [7200, 1, [6751, 901, 6401, 577], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1345, 'dim': 95, 'eis_dim': 191, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17, 19, 23], 'hecke_orbit_code': 33561632, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4], 'label': '7200.2.a', 'level': 7200, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 1536, 'mf_new_dim': 95, 'num_forms': 72, 'plus_dim': 45, 'prim_orbit_index': 1, 'relative_dim': 95, 'sturm_bound': 2880, 'trace_bound': 23, 'trace_display': [0, 0, 0, 0], 'traces': [95, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 87, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -34, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, -70, 0, 0, 0, 0, 0, 0, 0, -30, 0, 0, 0, -50, 0, 0, 0, 0, 0, 0, 0, 99, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -26, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 49, 0, 0, 0, -22, 0, 0, 0, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 76, 0, 0, 0, 0, 0, 0, 0, 98, 0, 0, 0, 102, 0, 0, 0, 0, 0, 0, 0, -58, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 62, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 34, 0, 0, 0, -34, 0, 0, 0, 0, 0, 0, 0, 133, 0, 0, 0, 98, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -42, 0, 0, 0, 122, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 102, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -114, 0, 0, 0, 0, 0, 0, 0, 203, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -54, 0, 0, 0, 0, 0, 0, 0, -46, 0, 0, 0, 246, 0, 0, 0, 0, 0, 0, 0, 150, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -142, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 94, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 86, 0, 0, 0, 0, 0, 0, 0, 142, 0, 0, 0, 66, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 92, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, 0, 0, -176, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 167, 0, 0, 0, 196, 0, 0, 0, 0, 0, 0, 0, -190, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, -102, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 126, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, -130, 0, 0, 0, 0, 0, 0, 0, 262, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -182, 0, 0, 0, -58, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, -262, 0, 0, 0, 262, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, -166, 0, 0, 0, 0, 0, 0, 0, -118, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 78, 0, 0, 0, -30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 68, 0, 0, 0, 0, 0, 0, 0, -92, 0, 0, 0, 202, 0, 0, 0, 0, 0, 0, 0, -94, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 42, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -82, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 178, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -148, 0, 0, 0, 234, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -162, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, -238, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -258, 0, 0, 0, 0, 0, 0, 0, 257, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -198, 0, 0, 0, -106, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 82, 0, 0, 0, 54, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 164, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 166, 0, 0, 0, 338, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 262, 0, 0, 0, 0, 0, 0, 0, 127, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 78, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -304, 0, 0, 0, 0, 0, 0, 0, 186, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 49085668
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 256705178793679904, 'source_is_minimal': False, 'source_label': '7200.2.a.cf.1.1', 'source_level': 7200, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 256705178793679904, 'target_is_minimal': False, 'target_label': '7200.2.a.cf.1.1', 'target_level': 7200, 'twist_class_label': '800.2.a.k.1.1', 'twist_class_level': 800, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49085669
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 256705178793679904, 'source_is_minimal': False, 'source_label': '7200.2.a.cf.1.1', 'source_level': 7200, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45035996307260192, 'target_is_minimal': True, 'target_label': '800.2.a.k.1.1', 'target_level': 800, 'twist_class_label': '800.2.a.k.1.1', 'twist_class_level': 800, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49085670
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 256705178793679904, 'source_is_minimal': False, 'source_label': '7200.2.a.cf.1.1', 'source_level': 7200, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 256705178793679904, 'target_is_minimal': False, 'target_label': '7200.2.a.cf.1.2', 'target_level': 7200, 'twist_class_label': '800.2.a.k.1.1', 'twist_class_level': 800, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49085671
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 256705178793679904, 'source_is_minimal': False, 'source_label': '7200.2.a.cf.1.1', 'source_level': 7200, 'target_conrey_index': 6049, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 144115531706801184, 'target_is_minimal': False, 'target_label': '7200.2.f.bg.6049.1', 'target_level': 7200, 'twist_class_label': '800.2.a.k.1.1', 'twist_class_level': 800, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49085672
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 256705178793679904, 'source_is_minimal': False, 'source_label': '7200.2.a.cf.1.1', 'source_level': 7200, 'target_conrey_index': 6049, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 144115531706801184, 'target_is_minimal': False, 'target_label': '7200.2.f.bg.6049.3', 'target_level': 7200, 'twist_class_label': '800.2.a.k.1.1', 'twist_class_level': 800, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49085673
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 256705178793679904, 'source_is_minimal': False, 'source_label': '7200.2.a.cf.1.1', 'source_level': 7200, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 292733975812643872, 'target_is_minimal': False, 'target_label': '7200.2.a.cn.1.2', 'target_level': 7200, 'twist_class_label': '800.2.a.k.1.1', 'twist_class_level': 800, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 49085674
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 256705178793679904, 'source_is_minimal': False, 'source_label': '7200.2.a.cf.1.1', 'source_level': 7200, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45035996307260192, 'target_is_minimal': True, 'target_label': '800.2.a.k.1.2', 'target_level': 800, 'twist_class_label': '800.2.a.k.1.1', 'twist_class_level': 800, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 49085675
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 256705178793679904, 'source_is_minimal': False, 'source_label': '7200.2.a.cf.1.1', 'source_level': 7200, 'target_conrey_index': 449, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 27021735236731680, 'target_is_minimal': False, 'target_label': '800.2.c.g.449.4', 'target_level': 800, 'twist_class_label': '800.2.a.k.1.1', 'twist_class_level': 800, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49085676
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 256705178793679904, 'source_is_minimal': False, 'source_label': '7200.2.a.cf.1.1', 'source_level': 7200, 'target_conrey_index': 449, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021735236731680, 'target_is_minimal': False, 'target_label': '800.2.c.g.449.2', 'target_level': 800, 'twist_class_label': '800.2.a.k.1.1', 'twist_class_level': 800, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 49085677
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 256705178793679904, 'source_is_minimal': False, 'source_label': '7200.2.a.cf.1.1', 'source_level': 7200, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49539595934630688, 'target_is_minimal': True, 'target_label': '800.2.a.l.1.2', 'target_level': 800, 'twist_class_label': '800.2.a.k.1.1', 'twist_class_level': 800, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 49085678
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 256705178793679904, 'source_is_minimal': False, 'source_label': '7200.2.a.cf.1.1', 'source_level': 7200, 'target_conrey_index': 6049, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 144115531706801184, 'target_is_minimal': False, 'target_label': '7200.2.f.bg.6049.2', 'target_level': 7200, 'twist_class_label': '800.2.a.k.1.1', 'twist_class_level': 800, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49085679
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 256705178793679904, 'source_is_minimal': False, 'source_label': '7200.2.a.cf.1.1', 'source_level': 7200, 'target_conrey_index': 6049, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 144115531706801184, 'target_is_minimal': False, 'target_label': '7200.2.f.bg.6049.4', 'target_level': 7200, 'twist_class_label': '800.2.a.k.1.1', 'twist_class_level': 800, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 49085680
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 256705178793679904, 'source_is_minimal': False, 'source_label': '7200.2.a.cf.1.1', 'source_level': 7200, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 292733975812643872, 'target_is_minimal': False, 'target_label': '7200.2.a.cn.1.1', 'target_level': 7200, 'twist_class_label': '800.2.a.k.1.1', 'twist_class_level': 800, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 49085681
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 256705178793679904, 'source_is_minimal': False, 'source_label': '7200.2.a.cf.1.1', 'source_level': 7200, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 121597189972559424, 'target_is_minimal': False, 'target_label': '1600.2.a.bb.1.2', 'target_level': 1600, 'twist_class_label': '800.2.a.k.1.1', 'twist_class_level': 800, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 49085682
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 256705178793679904, 'source_is_minimal': False, 'source_label': '7200.2.a.cf.1.1', 'source_level': 7200, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 121597189972559424, 'target_is_minimal': False, 'target_label': '1600.2.a.bb.1.1', 'target_level': 1600, 'twist_class_label': '800.2.a.k.1.1', 'twist_class_level': 800, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 49085683
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 256705178793679904, 'source_is_minimal': False, 'source_label': '7200.2.a.cf.1.1', 'source_level': 7200, 'target_conrey_index': 449, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27021735236731680, 'target_is_minimal': False, 'target_label': '800.2.c.g.449.3', 'target_level': 800, 'twist_class_label': '800.2.a.k.1.1', 'twist_class_level': 800, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 49085684
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 256705178793679904, 'source_is_minimal': False, 'source_label': '7200.2.a.cf.1.1', 'source_level': 7200, 'target_conrey_index': 449, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021735236731680, 'target_is_minimal': False, 'target_label': '800.2.c.g.449.1', 'target_level': 800, 'twist_class_label': '800.2.a.k.1.1', 'twist_class_level': 800, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 49085685
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 256705178793679904, 'source_is_minimal': False, 'source_label': '7200.2.a.cf.1.1', 'source_level': 7200, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595934630688, 'target_is_minimal': True, 'target_label': '800.2.a.l.1.1', 'target_level': 800, 'twist_class_label': '800.2.a.k.1.1', 'twist_class_level': 800, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 49085686
{'conductor': 120, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 256705178793679904, 'source_is_minimal': False, 'source_label': '7200.2.a.cf.1.1', 'source_level': 7200, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 117093590345188928, 'target_is_minimal': False, 'target_label': '1600.2.a.ba.1.1', 'target_level': 1600, 'twist_class_label': '800.2.a.k.1.1', 'twist_class_level': 800, 'twisting_char_label': '120.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 49085687
{'conductor': 120, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 256705178793679904, 'source_is_minimal': False, 'source_label': '7200.2.a.cf.1.1', 'source_level': 7200, 'target_conrey_index': 449, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 63050532255696448, 'target_is_minimal': False, 'target_label': '1600.2.c.o.449.3', 'target_level': 1600, 'twist_class_label': '800.2.a.k.1.1', 'twist_class_level': 800, 'twisting_char_label': '120.53', 'twisting_conrey_index': 53, 'weight': 2}
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id: 49085688
{'conductor': 120, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 256705178793679904, 'source_is_minimal': False, 'source_label': '7200.2.a.cf.1.1', 'source_level': 7200, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 117093590345188928, 'target_is_minimal': False, 'target_label': '1600.2.a.ba.1.2', 'target_level': 1600, 'twist_class_label': '800.2.a.k.1.1', 'twist_class_level': 800, 'twisting_char_label': '120.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 49085689
{'conductor': 120, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 256705178793679904, 'source_is_minimal': False, 'source_label': '7200.2.a.cf.1.1', 'source_level': 7200, 'target_conrey_index': 449, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050532255696448, 'target_is_minimal': False, 'target_label': '1600.2.c.o.449.1', 'target_level': 1600, 'twist_class_label': '800.2.a.k.1.1', 'twist_class_level': 800, 'twisting_char_label': '120.77', 'twisting_conrey_index': 77, 'weight': 2}
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id: 49085690
{'conductor': 120, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 256705178793679904, 'source_is_minimal': False, 'source_label': '7200.2.a.cf.1.1', 'source_level': 7200, 'target_conrey_index': 449, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050532255696448, 'target_is_minimal': False, 'target_label': '1600.2.c.o.449.2', 'target_level': 1600, 'twist_class_label': '800.2.a.k.1.1', 'twist_class_level': 800, 'twisting_char_label': '120.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 49085691
{'conductor': 120, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 256705178793679904, 'source_is_minimal': False, 'source_label': '7200.2.a.cf.1.1', 'source_level': 7200, 'target_conrey_index': 449, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 63050532255696448, 'target_is_minimal': False, 'target_label': '1600.2.c.o.449.4', 'target_level': 1600, 'twist_class_label': '800.2.a.k.1.1', 'twist_class_level': 800, 'twisting_char_label': '120.107', 'twisting_conrey_index': 107, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4407475
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 256705178793679904, 'p': 2}
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id: 4407476
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 256705178793679904, 'p': 3}
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id: 4407477
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 256705178793679904, 'p': 5}
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id: 4407478
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 256705178793679904, 'p': 7}
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id: 4407479
{'charpoly_factorization': [[[-5, 0, 1], 1]], 'hecke_orbit_code': 256705178793679904, 'p': 11}
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id: 4407480
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 256705178793679904, 'p': 13}
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id: 4407481
{'charpoly_factorization': [[[7, 1], 2]], 'hecke_orbit_code': 256705178793679904, 'p': 17}
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id: 4407482
{'charpoly_factorization': [[[-45, 0, 1], 1]], 'hecke_orbit_code': 256705178793679904, 'p': 19}
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id: 4407483
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 256705178793679904, 'p': 23}
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id: 4407484
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 256705178793679904, 'p': 29}
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id: 4407485
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 256705178793679904, 'p': 31}
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id: 4407486
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 256705178793679904, 'p': 37}
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id: 4407487
{'charpoly_factorization': [[[5, 1], 2]], 'hecke_orbit_code': 256705178793679904, 'p': 41}
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id: 4407488
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 256705178793679904, 'p': 43}
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id: 4407489
{'charpoly_factorization': [[[-80, 0, 1], 1]], 'hecke_orbit_code': 256705178793679904, 'p': 47}
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id: 4407490
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 256705178793679904, 'p': 53}
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id: 4407491
{'charpoly_factorization': [[[-80, 0, 1], 1]], 'hecke_orbit_code': 256705178793679904, 'p': 59}
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id: 4407492
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 256705178793679904, 'p': 61}
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id: 4407493
{'charpoly_factorization': [[[-5, 0, 1], 1]], 'hecke_orbit_code': 256705178793679904, 'p': 67}
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id: 4407494
{'charpoly_factorization': [[[-80, 0, 1], 1]], 'hecke_orbit_code': 256705178793679904, 'p': 71}
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id: 4407495
{'charpoly_factorization': [[[-9, 1], 2]], 'hecke_orbit_code': 256705178793679904, 'p': 73}
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id: 4407496
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 256705178793679904, 'p': 79}
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id: 4407497
{'charpoly_factorization': [[[-125, 0, 1], 1]], 'hecke_orbit_code': 256705178793679904, 'p': 83}
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id: 4407498
{'charpoly_factorization': [[[-5, 1], 2]], 'hecke_orbit_code': 256705178793679904, 'p': 89}
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id: 4407499
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 256705178793679904, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 58, 'label': '7200.2.a.cf', 'level': 7200, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 71985589
{'hecke_orbit_code': 256705178793679904, 'n': 1, 'trace_an': 2}
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id: 71985590
{'hecke_orbit_code': 256705178793679904, 'n': 2, 'trace_an': 0}
-
id: 71985591
{'hecke_orbit_code': 256705178793679904, 'n': 3, 'trace_an': 0}
-
id: 71985592
{'hecke_orbit_code': 256705178793679904, 'n': 4, 'trace_an': 0}
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id: 71985593
{'hecke_orbit_code': 256705178793679904, 'n': 5, 'trace_an': 0}
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id: 71985594
{'hecke_orbit_code': 256705178793679904, 'n': 6, 'trace_an': 0}
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id: 71985595
{'hecke_orbit_code': 256705178793679904, 'n': 7, 'trace_an': 0}
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id: 71985596
{'hecke_orbit_code': 256705178793679904, 'n': 8, 'trace_an': 0}
-
id: 71985597
{'hecke_orbit_code': 256705178793679904, 'n': 9, 'trace_an': 0}
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id: 71985598
{'hecke_orbit_code': 256705178793679904, 'n': 10, 'trace_an': 0}
-
id: 71985599
{'hecke_orbit_code': 256705178793679904, 'n': 11, 'trace_an': 0}
-
id: 71985600
{'hecke_orbit_code': 256705178793679904, 'n': 12, 'trace_an': 0}
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id: 71985601
{'hecke_orbit_code': 256705178793679904, 'n': 13, 'trace_an': -8}
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id: 71985602
{'hecke_orbit_code': 256705178793679904, 'n': 14, 'trace_an': 0}
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id: 71985603
{'hecke_orbit_code': 256705178793679904, 'n': 15, 'trace_an': 0}
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id: 71985604
{'hecke_orbit_code': 256705178793679904, 'n': 16, 'trace_an': 0}
-
id: 71985605
{'hecke_orbit_code': 256705178793679904, 'n': 17, 'trace_an': -14}
-
id: 71985606
{'hecke_orbit_code': 256705178793679904, 'n': 18, 'trace_an': 0}
-
id: 71985607
{'hecke_orbit_code': 256705178793679904, 'n': 19, 'trace_an': 0}
-
id: 71985608
{'hecke_orbit_code': 256705178793679904, 'n': 20, 'trace_an': 0}
-
id: 71985609
{'hecke_orbit_code': 256705178793679904, 'n': 21, 'trace_an': 0}
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