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{'Nk2': 35280, 'analytic_conductor': 70.42805458276929, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, 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': [8820, 1, [4411, 7841, 7057, 1081], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 8, 'field_disc_factorization': [[2, 3]], 'field_poly': [-2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 8, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[11, [-7, -2, 1]], [13, [23, 10, 1]], [17, [23, -10, 1]], [31, [34, 12, 1]]], 'hecke_orbit': 33, 'hecke_orbit_code': 144115188109419124, 'hecke_ring_generator_nbound': 13, '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': '8820.2.a.bg', 'level': 8820, 'level_is_powerful': False, '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, 7], 'level_radical': 210, 'minimal_twist': '980.2.a.j', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{5}+(1+2\\beta )q^{11}+(-5+\\beta )q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8820.2.a', 'trace_display': [0, 0, -2, 0], 'trace_hash': 953528266971075813, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.001', 'prec': 17}, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'ALdims': [0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 9, 12, 11, 9], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [15, 16, 16, 16, 16, 16, 16, 16, 8, 8, 8, 8, 8, 8, 8, 8], 'ALdims_old': [113, 122, 120, 118, 120, 116, 120, 116, 121, 111, 113, 115, 111, 112, 109, 115], 'Nk2': 35280, 'analytic_conductor': 70.42805458276929, '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': [8820, 1, [4411, 7841, 7057, 1081], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1921, 'dim': 69, 'eis_dim': 191, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 17, 31], 'hecke_orbit_code': 33563252, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4], 'label': '8820.2.a', 'level': 8820, 'level_is_powerful': False, '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, 7], 'level_radical': 210, 'mf_dim': 2112, 'mf_new_dim': 69, 'num_forms': 45, 'plus_dim': 32, 'prim_orbit_index': 1, 'relative_dim': 69, 'sturm_bound': 4032, 'trace_bound': 17, 'trace_display': [0, 0, -1, 0], 'traces': [69, 0, 0, 0, -1, 0, 0, 0, 0, 0, 8, 0, 2, 0, 0, 0, 6, 0, -4, 0, 0, 0, 6, 0, 69, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -38, 0, 0, 0, 2, 0, -38, 0, 0, 0, -26, 0, 0, 0, 0, 0, 6, 0, 8, 0, 0, 0, 0, 0, 14, 0, 0, 0, 10, 0, -58, 0, 0, 0, -20, 0, -18, 0, 0, 0, 0, 0, -24, 0, 0, 0, -26, 0, -10, 0, 0, 0, -6, 0, 0, 0, 0, 0, -4, 0, -6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 66, 0, -26, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 81, 0, 0, 0, -1, 0, 26, 0, 0, 0, -28, 0, 0, 0, 0, 0, 6, 0, -16, 0, 0, 0, -4, 0, 6, 0, 0, 0, 10, 0, 36, 0, 0, 0, 4, 0, 46, 0, 0, 0, 0, 0, 6, 0, 0, 0, 30, 0, 67, 0, 0, 0, 22, 0, 0, 0, 0, 0, 108, 0, 6, 0, 0, 0, -14, 0, -60, 0, 0, 0, -44, 0, -38, 0, 0, 0, 30, 0, -36, 0, 0, 0, 0, 0, -10, 0, 0, 0, -8, 0, 8, 0, 0, 0, 18, 0, 0, 0, 0, 0, -4, 0, 30, 0, 0, 0, 14, 0, -18, 0, 0, 0, 78, 0, -2, 0, 0, 0, -8, 0, 6, 0, 0, 0, 0, 0, 80, 0, 0, 0, 116, 0, 56, 0, 0, 0, 18, 0, 0, 0, 0, 0, -66, 0, 14, 0, 0, 0, 38, 0, -4, 0, 0, 0, 8, 0, -6, 0, 0, 0, 82, 0, 70, 0, 0, 0, 0, 0, 55, 0, 0, 0, -98, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18, 0, 2, 0, 0, 0, 12, 0, 10, 0, 0, 0, -50, 0, 0, 0, 0, 0, 144, 0, 2, 0, 0, 0, 0, 0, 136, 0, 0, 0, -38, 0, -6, 0, 0, 0, -4, 0, 0, 0, 0, 0, 2, 0, 58, 0, 0, 0, -26, 0, 12, 0, 0, 0, -24, 0, 169, 0, 0, 0, 26, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 32, 0, 12, 0, 0, 0, 78, 0, 0, 0, 0, 0, 22, 0, -40, 0, 0, 0, 0, 0, 50, 0, 0, 0, -6, 0, 112, 0, 0, 0, -64, 0, 82, 0, 0, 0, 0, 0, -26, 0, 0, 0, 48, 0, 70, 0, 0, 0, 6, 0, 0, 0, 0, 0, -68, 0, 78, 0, 0, 0, -48, 0, 36, 0, 0, 0, 86, 0, 2, 0, 0, 0, -98, 0, -52, 0, 0, 0, 0, 0, 2, 0, 0, 0, 86, 0, 2, 0, 0, 0, 6, 0, 0, 0, 0, 0, -8, 0, -4, 0, 0, 0, -12, 0, -8, 0, 0, 0, -38, 0, 2, 0, 0, 0, -72, 0, -32, 0, 0, 0, 0, 0, -92, 0, 0, 0, -118, 0, 22, 0, 0, 0, 26, 0, 0, 0, 0, 0, -94, 0, -60, 0, 0, 0, 26, 0, -102, 0, 0, 0, 56, 0, 37, 0, 0, 0, 100, 0, 10, 0, 0, 0, 0, 0, 18, 0, 0, 0, -50, 0, 102, 0, 0, 0, -80, 0, 0, 0, 0, 0, 134, 0, -12, 0, 0, 0, -58, 0, -34, 0, 0, 0, 146, 0, -96, 0, 0, 0, 6, 0, -134, 0, 0, 0, 0, 0, 48, 0, 0, 0, 50, 0, -24, 0, 0, 0, 22, 0, 0, 0, 0, 0, 96, 0, -110, 0, 0, 0, -37, 0, 74, 0, 0, 0, -300, 0, 122, 0, 0, 0, 158, 0, 0, 0, 0, 0, 0, 0, 69, 0, 0, 0, 48, 0, 196, 0, 0, 0, 10, 0, 0, 0, 0, 0, -114, 0, 54, 0, 0, 0, 114, 0, -108, 0, 0, 0, 38, 0, 64, 0, 0, 0, 68, 0, 94, 0, 0, 0, 0, 0, -48, 0, 0, 0, 144, 0, -166, 0, 0, 0, -42, 0, 0, 0, 0, 0, 38, 0, 10, 0, 0, 0, 72, 0, -8, 0, 0, 0, 68, 0, -28, 0, 0, 0, -294, 0, -16, 0, 0, 0, 0, 0, 130, 0, 0, 0, -208, 0, -88, 0, 0, 0, -20, 0, 0, 0, 0, 0, -2, 0, 22, 0, 0, 0, 12, 0, -46, 0, 0, 0, -192, 0, 44, 0, 0, 0, 46, 0, 34, 0, 0, 0, 0, 0, 76, 0, 0, 0, -76, 0, 146, 0, 0, 0, -66, 0, 0, 0, 0, 0, 112, 0, -10, 0, 0, 0, -34, 0, 0, 0, 0, 0, -152, 0, -272, 0, 0, 0, 34, 0, -30, 0, 0, 0, 0, 0, 12, 0, 0, 0, 102, 0, 44, 0, 0, 0, -16, 0, 0, 0, 0, 0, -54, 0, 4, 0, 0, 0, 6, 0, -40, 0, 0, 0, -50, 0, 106, 0, 0, 0, 58, 0, -46, 0, 0, 0, 0, 0, -14, 0, 0, 0, -12, 0, 159, 0, 0, 0, 1, 0, 0, 0, 0, 0, 68, 0, 110, 0, 0, 0, -22, 0, 68, 0, 0, 0, 302, 0, -50, 0, 0, 0, 280, 0, 40, 0, 0, 0, 0, 0, 202, 0, 0, 0, 158, 0, -154, 0, 0, 0, -38, 0, 0, 0, 0, 0, -72, 0, 12, 0, 0, 0, -140, 0, 32, 0, 0, 0, 74, 0, -34, 0, 0, 0, 44, 0, 80, 0, 0, 0, 0, 0, -16, 0, 0, 0, -192, 0, -38, 0, 0, 0, -54, 0, 0, 0, 0, 0, -144, 0, 34, 0, 0, 0, 110, 0, -12, 0, 0, 0, 34, 0, 76, 0, 0, 0, 134, 0, -28, 0, 0, 0, 0, 0, -83, 0, 0, 0, -74, 0, -34, 0, 0, 0, -92, 0, 0, 0, 0, 0, 510, 0, -80, 0, 0, 0, -46, 0, -34, 0, 0, 0, 192, 0, -20, 0, 0, 0, -8, 0, 138, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48793435
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188109419124, 'source_is_minimal': False, 'source_label': '8820.2.a.bg.1.1', 'source_level': 8820, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 144115188109419124, 'target_is_minimal': False, 'target_label': '8820.2.a.bg.1.1', 'target_level': 8820, 'twist_class_label': '980.2.a.j.1.1', 'twist_class_level': 980, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48793436
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188109419124, 'source_is_minimal': False, 'source_label': '8820.2.a.bg.1.1', 'source_level': 8820, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396679889876, 'target_is_minimal': True, 'target_label': '980.2.a.j.1.1', 'target_level': 980, 'twist_class_label': '980.2.a.j.1.1', 'twist_class_level': 980, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48793437
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188109419124, 'source_is_minimal': False, 'source_label': '8820.2.a.bg.1.1', 'source_level': 8820, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 166633186246271604, 'target_is_minimal': False, 'target_label': '8820.2.a.bl.1.1', 'target_level': 8820, 'twist_class_label': '980.2.a.j.1.1', 'twist_class_level': 980, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 48793438
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188109419124, 'source_is_minimal': False, 'source_label': '8820.2.a.bg.1.1', 'source_level': 8820, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 220676381774712656, 'target_is_minimal': False, 'target_label': '3920.2.a.bx.1.2', 'target_level': 3920, 'twist_class_label': '980.2.a.j.1.1', 'twist_class_level': 980, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48793439
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188109419124, 'source_is_minimal': False, 'source_label': '8820.2.a.bg.1.1', 'source_level': 8820, 'target_conrey_index': 2549, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 72057868949394212, 'target_is_minimal': False, 'target_label': '4900.2.e.q.2549.4', 'target_level': 4900, 'twist_class_label': '980.2.a.j.1.1', 'twist_class_level': 980, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48793440
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188109419124, 'source_is_minimal': False, 'source_label': '8820.2.a.bg.1.1', 'source_level': 8820, 'target_conrey_index': 2549, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057868949394212, 'target_is_minimal': False, 'target_label': '4900.2.e.q.2549.1', 'target_level': 4900, 'twist_class_label': '980.2.a.j.1.1', 'twist_class_level': 980, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 48793441
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188109419124, 'source_is_minimal': False, 'source_label': '8820.2.a.bg.1.1', 'source_level': 8820, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 112589990717821732, 'target_is_minimal': False, 'target_label': '4900.2.a.z.1.2', 'target_level': 4900, 'twist_class_label': '980.2.a.j.1.1', 'twist_class_level': 980, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 48793442
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188109419124, 'source_is_minimal': False, 'source_label': '8820.2.a.bg.1.1', 'source_level': 8820, 'target_conrey_index': 361, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49540145690444756, 'target_is_minimal': False, 'target_label': '980.2.i.l.361.2', 'target_level': 980, 'twist_class_label': '980.2.a.j.1.1', 'twist_class_level': 980, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48793443
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188109419124, 'source_is_minimal': False, 'source_label': '8820.2.a.bg.1.1', 'source_level': 8820, 'target_conrey_index': 361, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036546063074260, 'target_is_minimal': False, 'target_label': '980.2.i.k.361.1', 'target_level': 980, 'twist_class_label': '980.2.a.j.1.1', 'twist_class_level': 980, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48793444
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188109419124, 'source_is_minimal': False, 'source_label': '8820.2.a.bg.1.1', 'source_level': 8820, 'target_conrey_index': 961, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49540145690444756, 'target_is_minimal': False, 'target_label': '980.2.i.l.961.2', 'target_level': 980, 'twist_class_label': '980.2.a.j.1.1', 'twist_class_level': 980, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48793445
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188109419124, 'source_is_minimal': False, 'source_label': '8820.2.a.bg.1.1', 'source_level': 8820, 'target_conrey_index': 961, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036546063074260, 'target_is_minimal': False, 'target_label': '980.2.i.k.961.1', 'target_level': 980, 'twist_class_label': '980.2.a.j.1.1', 'twist_class_level': 980, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 48793446
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188109419124, 'source_is_minimal': False, 'source_label': '8820.2.a.bg.1.1', 'source_level': 8820, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45035996307260372, 'target_is_minimal': True, 'target_label': '980.2.a.k.1.2', 'target_level': 980, 'twist_class_label': '980.2.a.j.1.1', 'twist_class_level': 980, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 48793447
{'conductor': 84, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188109419124, 'source_is_minimal': False, 'source_label': '8820.2.a.bg.1.1', 'source_level': 8820, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 180143985128378192, 'target_is_minimal': False, 'target_label': '3920.2.a.bo.1.1', 'target_level': 3920, 'twist_class_label': '980.2.a.j.1.1', 'twist_class_level': 980, 'twisting_char_label': '84.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 48793448
{'conductor': 105, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188109419124, 'source_is_minimal': False, 'source_label': '8820.2.a.bg.1.1', 'source_level': 8820, 'target_conrey_index': 2549, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561468576764708, 'target_is_minimal': False, 'target_label': '4900.2.e.r.2549.1', 'target_level': 4900, 'twist_class_label': '980.2.a.j.1.1', 'twist_class_level': 980, 'twisting_char_label': '105.62', 'twisting_conrey_index': 62, 'weight': 2}
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id: 48793449
{'conductor': 105, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188109419124, 'source_is_minimal': False, 'source_label': '8820.2.a.bg.1.1', 'source_level': 8820, 'target_conrey_index': 2549, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 76561468576764708, 'target_is_minimal': False, 'target_label': '4900.2.e.r.2549.4', 'target_level': 4900, 'twist_class_label': '980.2.a.j.1.1', 'twist_class_level': 980, 'twisting_char_label': '105.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 48793450
{'conductor': 105, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188109419124, 'source_is_minimal': False, 'source_label': '8820.2.a.bg.1.1', 'source_level': 8820, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 103582791463080740, 'target_is_minimal': False, 'target_label': '4900.2.a.x.1.1', 'target_level': 4900, 'twist_class_label': '980.2.a.j.1.1', 'twist_class_level': 980, 'twisting_char_label': '105.104', 'twisting_conrey_index': 104, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4857700
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 144115188109419124, 'p': 2}
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id: 4857701
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 144115188109419124, 'p': 3}
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id: 4857702
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 144115188109419124, 'p': 5}
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id: 4857703
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 144115188109419124, 'p': 7}
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id: 4857704
{'charpoly_factorization': [[[-7, -2, 1], 1]], 'hecke_orbit_code': 144115188109419124, 'p': 11}
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id: 4857705
{'charpoly_factorization': [[[23, 10, 1], 1]], 'hecke_orbit_code': 144115188109419124, 'p': 13}
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id: 4857706
{'charpoly_factorization': [[[23, -10, 1], 1]], 'hecke_orbit_code': 144115188109419124, 'p': 17}
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id: 4857707
{'charpoly_factorization': [[[-28, -4, 1], 1]], 'hecke_orbit_code': 144115188109419124, 'p': 19}
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id: 4857708
{'charpoly_factorization': [[[2, 4, 1], 1]], 'hecke_orbit_code': 144115188109419124, 'p': 23}
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id: 4857709
{'charpoly_factorization': [[[-31, 2, 1], 1]], 'hecke_orbit_code': 144115188109419124, 'p': 29}
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id: 4857710
{'charpoly_factorization': [[[34, 12, 1], 1]], 'hecke_orbit_code': 144115188109419124, 'p': 31}
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id: 4857711
{'charpoly_factorization': [[[2, 4, 1], 1]], 'hecke_orbit_code': 144115188109419124, 'p': 37}
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id: 4857712
{'charpoly_factorization': [[[2, -4, 1], 1]], 'hecke_orbit_code': 144115188109419124, 'p': 41}
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id: 4857713
{'charpoly_factorization': [[[4, -12, 1], 1]], 'hecke_orbit_code': 144115188109419124, 'p': 43}
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id: 4857714
{'charpoly_factorization': [[[-97, -2, 1], 1]], 'hecke_orbit_code': 144115188109419124, 'p': 47}
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id: 4857715
{'charpoly_factorization': [[[46, -16, 1], 1]], 'hecke_orbit_code': 144115188109419124, 'p': 53}
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id: 4857716
{'charpoly_factorization': [[[2, -4, 1], 1]], 'hecke_orbit_code': 144115188109419124, 'p': 59}
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id: 4857717
{'charpoly_factorization': [[[56, 16, 1], 1]], 'hecke_orbit_code': 144115188109419124, 'p': 61}
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id: 4857718
{'charpoly_factorization': [[[-34, 8, 1], 1]], 'hecke_orbit_code': 144115188109419124, 'p': 67}
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id: 4857719
{'charpoly_factorization': [[[-68, -4, 1], 1]], 'hecke_orbit_code': 144115188109419124, 'p': 71}
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id: 4857720
{'charpoly_factorization': [[[56, 16, 1], 1]], 'hecke_orbit_code': 144115188109419124, 'p': 73}
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id: 4857721
{'charpoly_factorization': [[[-199, 2, 1], 1]], 'hecke_orbit_code': 144115188109419124, 'p': 79}
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id: 4857722
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 144115188109419124, 'p': 83}
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id: 4857723
{'charpoly_factorization': [[[-288, 0, 1], 1]], 'hecke_orbit_code': 144115188109419124, 'p': 89}
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id: 4857724
{'charpoly_factorization': [[[-153, 6, 1], 1]], 'hecke_orbit_code': 144115188109419124, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 33, 'label': '8820.2.a.bg', 'level': 8820, 'portrait': 'data:image/png;base64,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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 69182935
{'hecke_orbit_code': 144115188109419124, 'n': 1, 'trace_an': 2}
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id: 69182936
{'hecke_orbit_code': 144115188109419124, 'n': 2, 'trace_an': 0}
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id: 69182937
{'hecke_orbit_code': 144115188109419124, 'n': 3, 'trace_an': 0}
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id: 69182938
{'hecke_orbit_code': 144115188109419124, 'n': 4, 'trace_an': 0}
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id: 69182939
{'hecke_orbit_code': 144115188109419124, 'n': 5, 'trace_an': -2}
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id: 69182940
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id: 69183150
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id: 69183157
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id: 69183161
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id: 69183165
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id: 69183166
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id: 69183168
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id: 69183169
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id: 69183170
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id: 69183172
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id: 69183174
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id: 69183176
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id: 69183178
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id: 69183179
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id: 69183180
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id: 69183181
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id: 69183182
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id: 69183183
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id: 69183184
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id: 69183185
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id: 69183186
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id: 69183187
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id: 69183188
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id: 69183189
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id: 69183190
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id: 69183191
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id: 69183192
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