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{'Nk2': 7560, 'analytic_conductor': 15.091725982021993, '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': [1890, 1, [1541, 757, 1081], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 97, 'field_disc_factorization': [[97, 1]], 'field_poly': [-24, -1, 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': [[11, [-22, 3, 1]], [13, [-1, 1]], [17, [-24, -1, 1]]], 'hecke_orbit': 25, 'hecke_orbit_code': 108086391090448226, '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': '1890.2.a.y', 'level': 1890, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'minimal_twist': '1890.2.a.y', 'nf_label': '2.2.97.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1890.2.a', 'trace_display': [-2, 0, -2, -2], 'trace_hash': 880357694375709255, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.030', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.557', 'prec': 20}, 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'level': 1890, 'weight': 2}
-
mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, 1], [5, 1], [7, -1]], 1, 1], [[[2, 1], [3, 1], [5, -1], [7, -1]], 1, 1], [[[2, -1], [3, 1], [5, -1], [7, -1]], 4, 3], [[[2, 1], [3, 1], [5, 1], [7, -1]], 2, 1], [[[2, 1], [3, -1], [5, -1], [7, -1]], 3, 3], [[[2, 1], [3, -1], [5, 1], [7, -1]], 2, 2], [[[2, -1], [3, -1], [5, 1], [7, 1]], 2, 2], [[[2, -1], [3, -1], [5, -1], [7, 1]], 3, 2], [[[2, 1], [3, -1], [5, -1], [7, 1]], 2, 2], [[[2, 1], [3, -1], [5, 1], [7, 1]], 1, 1], [[[2, -1], [3, 1], [5, 1], [7, 1]], 2, 2], [[[2, -1], [3, -1], [5, 1], [7, -1]], 3, 3], [[[2, 1], [3, 1], [5, 1], [7, 1]], 3, 2], [[[2, -1], [3, 1], [5, -1], [7, 1]], 1, 1], [[[2, 1], [3, 1], [5, -1], [7, 1]], 2, 2]], 'ALdims': [3, 2, 2, 1, 1, 2, 2, 3, 2, 1, 1, 4, 2, 3, 3, 0], 'Nk2': 7560, 'analytic_conductor': 15.091725982021993, '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': [1890, 1, [1541, 757, 1081], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 409, 'dim': 32, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 17], 'hecke_orbit_code': 33556322, '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, 2, 2, 2, 2], 'label': '1890.2.a', 'level': 1890, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 456, 'mf_new_dim': 32, 'num_forms': 28, 'plus_dim': 12, 'prim_orbit_index': 1, 'relative_dim': 32, 'sturm_bound': 864, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [32, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 24, 0, 0, 8, 0, 0, 16, 0, 0, 0, 0, 0, 24, 0, 0, 16, 0, 0, 32, 0, 0, 0, 0, 0, 8, 0, 0, 24, 0, 0, 32, 0, 0, 32, 0, 0, 24, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 40, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 40, 0, 0, -96, 0, 0, 32, 0, 0, -80, 0, 0, 48, 0, 0, -72, 0, 0, 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mf_twists_cc • Show schema
Hide schema
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id: 48522802
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 108086391090448226, 'source_is_minimal': True, 'source_label': '1890.2.a.y.1.1', 'source_level': 1890, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 108086391090448226, 'target_is_minimal': True, 'target_label': '1890.2.a.y.1.1', 'target_level': 1890, 'twist_class_label': '1890.2.a.y.1.1', 'twist_class_level': 1890, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48522803
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 108086391090448226, 'source_is_minimal': True, 'source_label': '1890.2.a.y.1.1', 'source_level': 1890, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 117093590345189218, 'target_is_minimal': True, 'target_label': '1890.2.a.ba.1.2', 'target_level': 1890, 'twist_class_label': '1890.2.a.y.1.1', 'twist_class_level': 1890, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48522804
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 108086391090448226, 'source_is_minimal': True, 'source_label': '1890.2.a.y.1.1', 'source_level': 1890, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 549439154572764394, 'target_is_minimal': False, 'target_label': '9450.2.a.es.1.1', 'target_level': 9450, 'twist_class_label': '1890.2.a.y.1.1', 'twist_class_level': 1890, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48522805
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 108086391090448226, 'source_is_minimal': True, 'source_label': '1890.2.a.y.1.1', 'source_level': 1890, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 517913957181170922, 'target_is_minimal': False, 'target_label': '9450.2.a.el.1.2', 'target_level': 9450, 'twist_class_label': '1890.2.a.y.1.1', 'twist_class_level': 1890, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2279650
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 108086391090448226, 'p': 2}
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id: 2279651
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 108086391090448226, 'p': 3}
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id: 2279652
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 108086391090448226, 'p': 5}
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id: 2279653
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 108086391090448226, 'p': 7}
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id: 2279654
{'charpoly_factorization': [[[-22, 3, 1], 1]], 'hecke_orbit_code': 108086391090448226, 'p': 11}
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id: 2279655
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 108086391090448226, 'p': 13}
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id: 2279656
{'charpoly_factorization': [[[-24, -1, 1], 1]], 'hecke_orbit_code': 108086391090448226, 'p': 17}
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id: 2279657
{'charpoly_factorization': [[[-12, -7, 1], 1]], 'hecke_orbit_code': 108086391090448226, 'p': 19}
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id: 2279658
{'charpoly_factorization': [[[-22, 3, 1], 1]], 'hecke_orbit_code': 108086391090448226, 'p': 23}
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id: 2279659
{'charpoly_factorization': [[[-22, 3, 1], 1]], 'hecke_orbit_code': 108086391090448226, 'p': 29}
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id: 2279660
{'charpoly_factorization': [[[-12, -7, 1], 1]], 'hecke_orbit_code': 108086391090448226, 'p': 31}
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id: 2279661
{'charpoly_factorization': [[[-96, -2, 1], 1]], 'hecke_orbit_code': 108086391090448226, 'p': 37}
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id: 2279662
{'charpoly_factorization': [[[6, 11, 1], 1]], 'hecke_orbit_code': 108086391090448226, 'p': 41}
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id: 2279663
{'charpoly_factorization': [[[7, 1], 2]], 'hecke_orbit_code': 108086391090448226, 'p': 43}
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id: 2279664
{'charpoly_factorization': [[[6, 11, 1], 1]], 'hecke_orbit_code': 108086391090448226, 'p': 47}
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id: 2279665
{'charpoly_factorization': [[[5, 1], 2]], 'hecke_orbit_code': 108086391090448226, 'p': 53}
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id: 2279666
{'charpoly_factorization': [[[-18, 5, 1], 1]], 'hecke_orbit_code': 108086391090448226, 'p': 59}
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id: 2279667
{'charpoly_factorization': [[[-96, -2, 1], 1]], 'hecke_orbit_code': 108086391090448226, 'p': 61}
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id: 2279668
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 108086391090448226, 'p': 67}
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id: 2279669
{'charpoly_factorization': [[[-24, 1, 1], 1]], 'hecke_orbit_code': 108086391090448226, 'p': 71}
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id: 2279670
{'charpoly_factorization': [[[-18, 5, 1], 1]], 'hecke_orbit_code': 108086391090448226, 'p': 73}
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id: 2279671
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 108086391090448226, 'p': 79}
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id: 2279672
{'charpoly_factorization': [[[132, 25, 1], 1]], 'hecke_orbit_code': 108086391090448226, 'p': 83}
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id: 2279673
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 108086391090448226, 'p': 89}
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id: 2279674
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 108086391090448226, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 25, 'label': '1890.2.a.y', 'level': 1890, 'portrait': 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'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 256960000
{'hecke_orbit_code': 108086391090448226, 'n': 1, 'trace_an': 2}
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id: 256960001
{'hecke_orbit_code': 108086391090448226, 'n': 2, 'trace_an': -2}
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id: 256960002
{'hecke_orbit_code': 108086391090448226, 'n': 3, 'trace_an': 0}
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id: 256960003
{'hecke_orbit_code': 108086391090448226, 'n': 4, 'trace_an': 2}
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{'hecke_orbit_code': 108086391090448226, 'n': 985, 'trace_an': -35}
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id: 256960985
{'hecke_orbit_code': 108086391090448226, 'n': 986, 'trace_an': -47}
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id: 256960986
{'hecke_orbit_code': 108086391090448226, 'n': 987, 'trace_an': 0}
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id: 256960987
{'hecke_orbit_code': 108086391090448226, 'n': 988, 'trace_an': 7}
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id: 256960988
{'hecke_orbit_code': 108086391090448226, 'n': 989, 'trace_an': 21}
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id: 256960989
{'hecke_orbit_code': 108086391090448226, 'n': 990, 'trace_an': 0}
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id: 256960990
{'hecke_orbit_code': 108086391090448226, 'n': 991, 'trace_an': 50}
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id: 256960991
{'hecke_orbit_code': 108086391090448226, 'n': 992, 'trace_an': -7}
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id: 256960992
{'hecke_orbit_code': 108086391090448226, 'n': 993, 'trace_an': 0}
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id: 256960993
{'hecke_orbit_code': 108086391090448226, 'n': 994, 'trace_an': -1}
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id: 256960994
{'hecke_orbit_code': 108086391090448226, 'n': 995, 'trace_an': 6}
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id: 256960995
{'hecke_orbit_code': 108086391090448226, 'n': 996, 'trace_an': 0}
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id: 256960996
{'hecke_orbit_code': 108086391090448226, 'n': 997, 'trace_an': 3}
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id: 256960997
{'hecke_orbit_code': 108086391090448226, 'n': 998, 'trace_an': 26}
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id: 256960998
{'hecke_orbit_code': 108086391090448226, 'n': 999, 'trace_an': 0}
-
id: 256960999
{'hecke_orbit_code': 108086391090448226, 'n': 1000, 'trace_an': 2}