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{'Nk2': 11400, 'analytic_conductor': 22.75736457606491, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, 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': [2850, 1, [1901, 1027, 1351], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 24, 'field_disc_factorization': [[2, 3], [3, 1]], 'field_poly': [-6, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [-2, -4, 1]], [11, [-5, -2, 1]], [13, [-6, 0, 1]], [23, [1, 1]]], 'hecke_orbit': 36, 'hecke_orbit_code': 157625986991524642, 'hecke_ring_generator_nbound': 7, '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': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '2850.2.a.bj', 'level': 2850, '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, 19], 'level_radical': 570, 'minimal_twist': '2850.2.a.bc', 'nf_label': '2.2.24.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{3}+q^{4}+q^{6}+(2+\\beta )q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2850.2.a', 'trace_display': [2, 2, 0, 4], 'trace_hash': 201725469758672235, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.061', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.981', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.413', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.832', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.992', 'prec': 17}, {'__RealLiteral__': 0, 'data': '68.026', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.018', 'prec': 17}, 'traces': [2, 2, 2, 2, 0, 2, 4, 2, 2, 0, 2, 2, 0, 4, 0, 2, 4, 2, 2, 0, 4, 2, -2, 2, 0, 0, 2, 4, 6, 0, -6, 2, 2, 4, 0, 2, 4, 2, 0, 0, 8, 4, 0, 2, 0, -2, 4, 2, 6, 0, 4, 0, -10, 2, 0, 4, 2, 6, 8, 0, -14, -6, 4, 2, 0, 2, 6, 4, -2, 0, -8, 2, -2, 4, 0, 2, 16, 0, -10, 0, 2, 8, 2, 4, 0, 0, 6, 2, 14, 0, -12, -2, -6, 4, 0, 2, 8, 6, 2, 0, -8, 4, -6, 0, 0, -10, 20, 2, 4, 0, 4, 4, -14, 2, 0, 6, 0, 8, 20, 0, -8, -14, 8, -6, 0, 4, 10, 2, 0, 0, -6, 2, 4, 6, 0, 4, 0, -2, -20, 0, 4, -8, -12, 2, 0, -2, 6, 4, -8, 0, -28, 2, 4, 16, 0, 0, 0, -10, -10, 0, -4, 2, 20, 8, 0, 2, 36, 4, -14, 0, 2, 0, -18, 6, 0, 2, 8, 14, 32, 0, -24, -12, -14, -2, 0, -6, 16, 4, 4, 0, -10, 2, -16, 8, 0, 6, 40, 2, -20, 0, 6, -8, -24, 4, 0, -6, -2, 0, 2, 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'weight': 2, 'weight_parity': 1}
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mf_newspaces • Show schema
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{'ALdims': [4, 4, 4, 2, 3, 4, 4, 4, 4, 2, 3, 5, 2, 5, 5, 1], 'Nk2': 11400, 'analytic_conductor': 22.75736457606491, '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': [2850, 1, [1901, 1027, 1351], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 577, 'dim': 56, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 23], 'hecke_orbit_code': 33557282, '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, 3, 3, 3, 3], 'label': '2850.2.a', 'level': 2850, '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, 19], 'level_radical': 570, 'mf_dim': 624, 'mf_new_dim': 56, 'num_forms': 40, 'plus_dim': 22, 'prim_orbit_index': 1, 'relative_dim': 56, 'sturm_bound': 1200, 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-36, 48, 280, 0, 68, -28, -144, 16, 0, -64, 48, 8, -144, 0, 20, -16, 80, -224, 0, -12, -24, 96, -16, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48845526
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 157625986991524642, 'source_is_minimal': True, 'source_label': '2850.2.a.bj.1.1', 'source_level': 2850, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 157625986991524642, 'target_is_minimal': True, 'target_label': '2850.2.a.bj.1.1', 'target_level': 2850, 'twist_class_label': '2850.2.a.bc.1.2', 'twist_class_level': 2850, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48845527
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 157625986991524642, 'source_is_minimal': True, 'source_label': '2850.2.a.bj.1.1', 'source_level': 2850, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 207165582892605798, 'target_is_minimal': False, 'target_label': '8550.2.a.bu.1.1', 'target_level': 8550, 'twist_class_label': '2850.2.a.bc.1.2', 'twist_class_level': 2850, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48845528
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 157625986991524642, 'source_is_minimal': True, 'source_label': '2850.2.a.bj.1.1', 'source_level': 2850, 'target_conrey_index': 799, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 99079397994138402, 'target_is_minimal': False, 'target_label': '2850.2.d.w.799.3', 'target_level': 2850, 'twist_class_label': '2850.2.a.bc.1.2', 'twist_class_level': 2850, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48845529
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 157625986991524642, 'source_is_minimal': True, 'source_label': '2850.2.a.bj.1.1', 'source_level': 2850, 'target_conrey_index': 799, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 99079397994138402, 'target_is_minimal': False, 'target_label': '2850.2.d.w.799.2', 'target_level': 2850, 'twist_class_label': '2850.2.a.bc.1.2', 'twist_class_level': 2850, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48845530
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 157625986991524642, 'source_is_minimal': True, 'source_label': '2850.2.a.bj.1.1', 'source_level': 2850, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 126100789599931170, 'target_is_minimal': True, 'target_label': '2850.2.a.bc.1.2', 'target_level': 2850, 'twist_class_label': '2850.2.a.bc.1.2', 'twist_class_level': 2850, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48845531
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 157625986991524642, 'source_is_minimal': True, 'source_label': '2850.2.a.bj.1.1', 'source_level': 2850, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 211669182519976294, 'target_is_minimal': False, 'target_label': '8550.2.a.bv.1.2', 'target_level': 8550, 'twist_class_label': '2850.2.a.bc.1.2', 'twist_class_level': 2850, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2880875
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 157625986991524642, 'p': 2}
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id: 2880876
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 157625986991524642, 'p': 3}
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id: 2880877
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 157625986991524642, 'p': 5}
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id: 2880878
{'charpoly_factorization': [[[-2, -4, 1], 1]], 'hecke_orbit_code': 157625986991524642, 'p': 7}
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id: 2880879
{'charpoly_factorization': [[[-5, -2, 1], 1]], 'hecke_orbit_code': 157625986991524642, 'p': 11}
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id: 2880880
{'charpoly_factorization': [[[-6, 0, 1], 1]], 'hecke_orbit_code': 157625986991524642, 'p': 13}
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id: 2880881
{'charpoly_factorization': [[[-2, -4, 1], 1]], 'hecke_orbit_code': 157625986991524642, 'p': 17}
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id: 2880882
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 157625986991524642, 'p': 19}
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id: 2880883
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 157625986991524642, 'p': 23}
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id: 2880884
{'charpoly_factorization': [[[-45, -6, 1], 1]], 'hecke_orbit_code': 157625986991524642, 'p': 29}
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id: 2880885
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 157625986991524642, 'p': 31}
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id: 2880886
{'charpoly_factorization': [[[-92, -4, 1], 1]], 'hecke_orbit_code': 157625986991524642, 'p': 37}
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id: 2880887
{'charpoly_factorization': [[[-8, -8, 1], 1]], 'hecke_orbit_code': 157625986991524642, 'p': 41}
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id: 2880888
{'charpoly_factorization': [[[-6, 0, 1], 1]], 'hecke_orbit_code': 157625986991524642, 'p': 43}
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id: 2880889
{'charpoly_factorization': [[[-92, -4, 1], 1]], 'hecke_orbit_code': 157625986991524642, 'p': 47}
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id: 2880890
{'charpoly_factorization': [[[19, 10, 1], 1]], 'hecke_orbit_code': 157625986991524642, 'p': 53}
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id: 2880891
{'charpoly_factorization': [[[10, -8, 1], 1]], 'hecke_orbit_code': 157625986991524642, 'p': 59}
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id: 2880892
{'charpoly_factorization': [[[43, 14, 1], 1]], 'hecke_orbit_code': 157625986991524642, 'p': 61}
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id: 2880893
{'charpoly_factorization': [[[-141, -6, 1], 1]], 'hecke_orbit_code': 157625986991524642, 'p': 67}
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id: 2880894
{'charpoly_factorization': [[[10, 8, 1], 1]], 'hecke_orbit_code': 157625986991524642, 'p': 71}
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id: 2880895
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 157625986991524642, 'p': 73}
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id: 2880896
{'charpoly_factorization': [[[5, 1], 2]], 'hecke_orbit_code': 157625986991524642, 'p': 79}
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id: 2880897
{'charpoly_factorization': [[[-53, -2, 1], 1]], 'hecke_orbit_code': 157625986991524642, 'p': 83}
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id: 2880898
{'charpoly_factorization': [[[25, -14, 1], 1]], 'hecke_orbit_code': 157625986991524642, 'p': 89}
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id: 2880899
{'charpoly_factorization': [[[10, -8, 1], 1]], 'hecke_orbit_code': 157625986991524642, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 36, 'label': '2850.2.a.bj', 'level': 2850, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 69693775
{'hecke_orbit_code': 157625986991524642, 'n': 1, 'trace_an': 2}
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id: 69693776
{'hecke_orbit_code': 157625986991524642, 'n': 2, 'trace_an': 2}
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id: 69693777
{'hecke_orbit_code': 157625986991524642, 'n': 3, 'trace_an': 2}
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id: 69693778
{'hecke_orbit_code': 157625986991524642, 'n': 4, 'trace_an': 2}
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id: 69693779
{'hecke_orbit_code': 157625986991524642, 'n': 5, 'trace_an': 0}
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id: 69693780
{'hecke_orbit_code': 157625986991524642, 'n': 6, 'trace_an': 2}
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id: 69693781
{'hecke_orbit_code': 157625986991524642, 'n': 7, 'trace_an': 4}
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id: 69693782
{'hecke_orbit_code': 157625986991524642, 'n': 8, 'trace_an': 2}
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id: 69693783
{'hecke_orbit_code': 157625986991524642, 'n': 9, 'trace_an': 2}
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id: 69693784
{'hecke_orbit_code': 157625986991524642, 'n': 10, 'trace_an': 0}
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id: 69693785
{'hecke_orbit_code': 157625986991524642, 'n': 11, 'trace_an': 2}
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id: 69693786
{'hecke_orbit_code': 157625986991524642, 'n': 12, 'trace_an': 2}
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id: 69693787
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