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{'Nk2': 22344, 'analytic_conductor': 44.604434569087225, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, 1], [19, 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': [5586, 1, [3725, 4903, 4999], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [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': [[5, [0, 1]], [11, [14, 8, 1]], [13, [-8, 0, 1]], [17, [8, 8, 1]]], 'hecke_orbit': 41, 'hecke_orbit_code': 180143985128379858, 'hecke_ring_generator_nbound': 11, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '5586.2.a.bo', 'level': 5586, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 19], 'level_radical': 798, 'minimal_twist': '5586.2.a.bj', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5586.2.a', 'trace_display': [2, 2, 0, 0], 'trace_hash': 1042618430478794233, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.067', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.084', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.218', 'prec': 20}, 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'embedding_m': 1, 'embedding_root_imag': 0.0, 'embedding_root_real': -1.4142135623730951, 'hecke_orbit': 41, 'hecke_orbit_code': 180143985128379858, 'label': '5586.2.a.bo.1.1', 'level': 5586, 'weight': 2}
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{'AL_dims': [[[[2, -1], [3, -1], [7, -1], [19, -1]], 4, 3], [[[2, 1], [3, 1], [7, -1], [19, -1]], 5, 5], [[[2, 1], [3, -1], [7, -1], [19, 1]], 8, 4], [[[2, 1], [3, 1], [7, -1], [19, 1]], 8, 7], [[[2, -1], [3, 1], [7, -1], [19, 1]], 7, 4], [[[2, 1], [3, -1], [7, 1], [19, 1]], 8, 3], [[[2, -1], [3, 1], [7, -1], [19, -1]], 10, 5], [[[2, 1], [3, 1], [7, 1], [19, 1]], 7, 2], [[[2, 1], [3, -1], [7, -1], [19, -1]], 8, 4], [[[2, -1], [3, -1], [7, 1], [19, -1]], 12, 2], [[[2, 1], [3, -1], [7, 1], [19, -1]], 7, 4], [[[2, -1], [3, -1], [7, 1], [19, 1]], 5, 2], [[[2, -1], [3, 1], [7, 1], [19, -1]], 5, 3], [[[2, 1], [3, 1], [7, 1], [19, -1]], 10, 2], [[[2, -1], [3, 1], [7, 1], [19, 1]], 10, 2], [[[2, -1], [3, -1], [7, -1], [19, 1]], 10, 6]], 'ALdims': [7, 10, 8, 5, 8, 7, 8, 8, 10, 5, 7, 10, 5, 12, 10, 4], 'Nk2': 22344, 'analytic_conductor': 44.604434569087225, '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': [5586, 1, [3725, 4903, 4999], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1089, 'dim': 124, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13, 17], 'hecke_orbit_code': 33560018, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 6, 6, 8, 8], 'label': '5586.2.a', 'level': 5586, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 19], 'level_radical': 798, 'mf_dim': 1152, 'mf_new_dim': 124, 'num_forms': 58, 'plus_dim': 48, 'prim_orbit_index': 1, 'relative_dim': 124, 'sturm_bound': 2240, 'trace_bound': 13, 'trace_display': [2, 0, 0, 0], 'traces': [124, 2, 0, 124, 0, -2, 0, 2, 124, 0, 4, 0, 12, 0, -4, 124, 8, 2, -2, 0, 0, -4, 4, -2, 124, 12, 0, 0, -4, 4, 4, 2, 4, 20, 0, 124, -12, 0, 8, 0, -12, 0, 8, 4, 0, 0, -28, 0, 0, 78, -16, 12, 68, -2, 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160, 0, -20, 344, 292, -56, -24, 16, 0, -108, -108, 192, -112, 16, -20, 0, 272, 24, 8, 872, 144, -304, 0, -12, 636, 84, 24], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48937600
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 180143985128379858, 'source_is_minimal': True, 'source_label': '5586.2.a.bo.1.1', 'source_level': 5586, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 180143985128379858, 'target_is_minimal': True, 'target_label': '5586.2.a.bo.1.1', 'target_level': 5586, 'twist_class_label': '5586.2.a.bj.1.1', 'twist_class_level': 5586, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48937601
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 180143985128379858, 'source_is_minimal': True, 'source_label': '5586.2.a.bo.1.1', 'source_level': 5586, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 157625986991527378, 'target_is_minimal': True, 'target_label': '5586.2.a.bj.1.1', 'target_level': 5586, 'twist_class_label': '5586.2.a.bj.1.1', 'twist_class_level': 5586, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3941475
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 180143985128379858, 'p': 2}
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id: 3941476
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 180143985128379858, 'p': 3}
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id: 3941477
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 180143985128379858, 'p': 5}
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id: 3941478
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 180143985128379858, 'p': 7}
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id: 3941479
{'charpoly_factorization': [[[14, 8, 1], 1]], 'hecke_orbit_code': 180143985128379858, 'p': 11}
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id: 3941480
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 180143985128379858, 'p': 13}
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id: 3941481
{'charpoly_factorization': [[[8, 8, 1], 1]], 'hecke_orbit_code': 180143985128379858, 'p': 17}
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id: 3941482
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 180143985128379858, 'p': 19}
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id: 3941483
{'charpoly_factorization': [[[-18, 0, 1], 1]], 'hecke_orbit_code': 180143985128379858, 'p': 23}
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id: 3941484
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 180143985128379858, 'p': 29}
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id: 3941485
{'charpoly_factorization': [[[-28, 4, 1], 1]], 'hecke_orbit_code': 180143985128379858, 'p': 31}
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id: 3941486
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 180143985128379858, 'p': 37}
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id: 3941487
{'charpoly_factorization': [[[14, 8, 1], 1]], 'hecke_orbit_code': 180143985128379858, 'p': 41}
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id: 3941488
{'charpoly_factorization': [[[8, 8, 1], 1]], 'hecke_orbit_code': 180143985128379858, 'p': 43}
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id: 3941489
{'charpoly_factorization': [[[-28, 4, 1], 1]], 'hecke_orbit_code': 180143985128379858, 'p': 47}
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id: 3941490
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 180143985128379858, 'p': 53}
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id: 3941491
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 180143985128379858, 'p': 59}
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id: 3941492
{'charpoly_factorization': [[[14, -8, 1], 1]], 'hecke_orbit_code': 180143985128379858, 'p': 61}
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id: 3941493
{'charpoly_factorization': [[[-18, 0, 1], 1]], 'hecke_orbit_code': 180143985128379858, 'p': 67}
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id: 3941494
{'charpoly_factorization': [[[-200, 0, 1], 1]], 'hecke_orbit_code': 180143985128379858, 'p': 71}
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id: 3941495
{'charpoly_factorization': [[[62, -16, 1], 1]], 'hecke_orbit_code': 180143985128379858, 'p': 73}
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id: 3941496
{'charpoly_factorization': [[[-82, 8, 1], 1]], 'hecke_orbit_code': 180143985128379858, 'p': 79}
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id: 3941497
{'charpoly_factorization': [[[-16, 8, 1], 1]], 'hecke_orbit_code': 180143985128379858, 'p': 83}
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id: 3941498
{'charpoly_factorization': [[[14, -8, 1], 1]], 'hecke_orbit_code': 180143985128379858, 'p': 89}
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id: 3941499
{'charpoly_factorization': [[[136, -24, 1], 1]], 'hecke_orbit_code': 180143985128379858, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 41, 'label': '5586.2.a.bo', 'level': 5586, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 273535000
{'hecke_orbit_code': 180143985128379858, 'n': 1, 'trace_an': 2}
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id: 273535001
{'hecke_orbit_code': 180143985128379858, 'n': 2, 'trace_an': 2}
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id: 273535002
{'hecke_orbit_code': 180143985128379858, 'n': 3, 'trace_an': 2}
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id: 273535003
{'hecke_orbit_code': 180143985128379858, 'n': 4, 'trace_an': 2}
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id: 273535983
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id: 273535984
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id: 273535985
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id: 273535986
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id: 273535987
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id: 273535988
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id: 273535989
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id: 273535990
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id: 273535991
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id: 273535992
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id: 273535993
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id: 273535994
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id: 273535995
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id: 273535997
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id: 273535998
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id: 273535999
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