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{'Nk2': 12936, 'analytic_conductor': 25.823620013682078, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, 1], [11, 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': [3234, 1, [1079, 199, 2059], [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, [2, 1]], [13, [14, 8, 1]], [17, [2, 1]]], 'hecke_orbit': 30, 'hecke_orbit_code': 130604389227302050, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '3234.2.a.bd', 'level': 3234, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'minimal_twist': '3234.2.a.bc', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{3}+q^{4}-2q^{5}+q^{6}+q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3234.2.a', 'trace_display': [2, 2, -4, 0], 'trace_hash': 1600561690949276935, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.017', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.402', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '77.122', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.031', 'prec': 17}, 'traces': [2, 2, 2, 2, -4, 2, 0, 2, 2, -4, -2, 2, -8, 0, -4, 2, -4, 2, -4, -4, 0, -2, -4, 2, -2, -8, 2, 0, 8, -4, -4, 2, -2, -4, 0, 2, -4, -4, -8, -4, -12, 0, -4, -2, -4, -4, -4, 2, 0, -2, -4, -8, -4, 2, 4, 0, -4, 8, -8, -4, -8, -4, 0, 2, 16, -2, -8, -4, -4, 0, 0, 2, -12, -4, -2, -4, 0, -8, -16, -4, 2, -12, 4, 0, 8, -4, 8, -2, -16, -4, 0, -4, -4, -4, 8, 2, 0, 0, -2, -2, 16, -4, -4, -8, 0, -4, 20, 2, 20, 4, -4, 0, 0, -4, 8, 8, -8, -8, 0, -4, 2, -8, -12, -4, 24, 0, 0, 2, -4, 16, -4, -2, 0, -8, -4, -4, 12, -4, -20, 0, -4, 0, 8, 2, -16, -12, 0, -4, 8, -2, 8, -4, -4, 0, 8, -8, -20, -16, -4, -4, 0, 2, -16, -12, 4, 4, 16, 0, 10, 8, -4, -4, -8, 8, 0, -2, -8, -16, -24, -4, -4, 0, -8, -4, 8, -4, 4, -4, 0, 8, 4, 2, 4, 0, 16, 0, 20, -2, 12, -2, -8, 16, 0, -4, 24, -4, -4, -8, 4, 0, -52, -4, 0, 20, 8, 2, 0, 20, -12, 4, 16, -4, -4, 0, -2, 0, 4, -4, 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-
mf_newspaces • Show schema
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'char_values': [3234, 1, [1079, 199, 2059], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 641, 'dim': 68, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 13, 17], 'hecke_orbit_code': 33557666, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4], 'label': '3234.2.a', 'level': 3234, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'mf_dim': 704, 'mf_new_dim': 68, 'num_forms': 39, 'plus_dim': 24, 'prim_orbit_index': 1, 'relative_dim': 68, 'sturm_bound': 1344, 'trace_bound': 17, 'trace_display': [2, -2, 4, 0], 'traces': [68, 2, -2, 68, 4, 0, 0, 2, 68, 4, 0, -2, 0, 0, 0, 68, 12, 2, -4, 4, 0, 2, -4, 0, 52, 16, -2, 0, -12, 0, -24, 2, -2, 0, 0, 68, 56, -4, 36, 4, 12, 0, 12, 0, 4, 0, 12, -2, 0, 62, -8, 0, 60, 0, 0, 0, 44, 64, -8, 0, 24, 16, 0, 68, 72, -4, 40, 12, -4, 0, 4, 2, 24, 68, -6, 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mf_twists_cc • Show schema
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id: 48697138
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 130604389227302050, 'source_is_minimal': True, 'source_label': '3234.2.a.bd.1.1', 'source_level': 3234, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 130604389227302050, 'target_is_minimal': True, 'target_label': '3234.2.a.bd.1.1', 'target_level': 3234, 'twist_class_label': '3234.2.a.bc.1.2', 'twist_class_level': 3234, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48697139
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 130604389227302050, 'source_is_minimal': True, 'source_label': '3234.2.a.bd.1.1', 'source_level': 3234, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 342273571713721830, 'target_is_minimal': False, 'target_label': '9702.2.a.cy.1.1', 'target_level': 9702, 'twist_class_label': '3234.2.a.bc.1.2', 'twist_class_level': 3234, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48697140
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 130604389227302050, 'source_is_minimal': True, 'source_label': '3234.2.a.bd.1.1', 'source_level': 3234, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 126100789599931554, 'target_is_minimal': True, 'target_label': '3234.2.a.bc.1.2', 'target_level': 3234, 'twist_class_label': '3234.2.a.bc.1.2', 'twist_class_level': 3234, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 48697141
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 130604389227302050, 'source_is_minimal': True, 'source_label': '3234.2.a.bd.1.1', 'source_level': 3234, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 270215977675793894, 'target_is_minimal': False, 'target_label': '9702.2.a.ci.1.2', 'target_level': 9702, 'twist_class_label': '3234.2.a.bc.1.2', 'twist_class_level': 3234, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3074650
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 130604389227302050, 'p': 2}
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id: 3074651
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 130604389227302050, 'p': 3}
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id: 3074652
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 130604389227302050, 'p': 5}
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id: 3074653
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 130604389227302050, 'p': 7}
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id: 3074654
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 130604389227302050, 'p': 11}
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id: 3074655
{'charpoly_factorization': [[[14, 8, 1], 1]], 'hecke_orbit_code': 130604389227302050, 'p': 13}
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id: 3074656
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 130604389227302050, 'p': 17}
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id: 3074657
{'charpoly_factorization': [[[-14, 4, 1], 1]], 'hecke_orbit_code': 130604389227302050, 'p': 19}
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id: 3074658
{'charpoly_factorization': [[[-4, 4, 1], 1]], 'hecke_orbit_code': 130604389227302050, 'p': 23}
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id: 3074659
{'charpoly_factorization': [[[-16, -8, 1], 1]], 'hecke_orbit_code': 130604389227302050, 'p': 29}
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id: 3074660
{'charpoly_factorization': [[[-14, 4, 1], 1]], 'hecke_orbit_code': 130604389227302050, 'p': 31}
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id: 3074661
{'charpoly_factorization': [[[-4, 4, 1], 1]], 'hecke_orbit_code': 130604389227302050, 'p': 37}
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id: 3074662
{'charpoly_factorization': [[[4, 12, 1], 1]], 'hecke_orbit_code': 130604389227302050, 'p': 41}
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id: 3074663
{'charpoly_factorization': [[[-4, 4, 1], 1]], 'hecke_orbit_code': 130604389227302050, 'p': 43}
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id: 3074664
{'charpoly_factorization': [[[-94, 4, 1], 1]], 'hecke_orbit_code': 130604389227302050, 'p': 47}
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id: 3074665
{'charpoly_factorization': [[[-68, 4, 1], 1]], 'hecke_orbit_code': 130604389227302050, 'p': 53}
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id: 3074666
{'charpoly_factorization': [[[8, 8, 1], 1]], 'hecke_orbit_code': 130604389227302050, 'p': 59}
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id: 3074667
{'charpoly_factorization': [[[14, 8, 1], 1]], 'hecke_orbit_code': 130604389227302050, 'p': 61}
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id: 3074668
{'charpoly_factorization': [[[8, 8, 1], 1]], 'hecke_orbit_code': 130604389227302050, 'p': 67}
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id: 3074669
{'charpoly_factorization': [[[-32, 0, 1], 1]], 'hecke_orbit_code': 130604389227302050, 'p': 71}
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id: 3074670
{'charpoly_factorization': [[[4, 12, 1], 1]], 'hecke_orbit_code': 130604389227302050, 'p': 73}
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id: 3074671
{'charpoly_factorization': [[[-8, 16, 1], 1]], 'hecke_orbit_code': 130604389227302050, 'p': 79}
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id: 3074672
{'charpoly_factorization': [[[-46, -4, 1], 1]], 'hecke_orbit_code': 130604389227302050, 'p': 83}
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id: 3074673
{'charpoly_factorization': [[[46, 16, 1], 1]], 'hecke_orbit_code': 130604389227302050, 'p': 89}
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id: 3074674
{'charpoly_factorization': [[[-98, 0, 1], 1]], 'hecke_orbit_code': 130604389227302050, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 30, 'label': '3234.2.a.bd', 'level': 3234, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 264290000
{'hecke_orbit_code': 130604389227302050, 'n': 1, 'trace_an': 2}
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id: 264290001
{'hecke_orbit_code': 130604389227302050, 'n': 2, 'trace_an': 2}
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id: 264290002
{'hecke_orbit_code': 130604389227302050, 'n': 3, 'trace_an': 2}
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id: 264290003
{'hecke_orbit_code': 130604389227302050, 'n': 4, 'trace_an': 2}
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id: 264290004
{'hecke_orbit_code': 130604389227302050, 'n': 5, 'trace_an': -4}
-
id: 264290005
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id: 264290989
{'hecke_orbit_code': 130604389227302050, 'n': 990, 'trace_an': 4}
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id: 264290990
{'hecke_orbit_code': 130604389227302050, 'n': 991, 'trace_an': 0}
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id: 264290991
{'hecke_orbit_code': 130604389227302050, 'n': 992, 'trace_an': -4}
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id: 264290992
{'hecke_orbit_code': 130604389227302050, 'n': 993, 'trace_an': -16}
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id: 264290993
{'hecke_orbit_code': 130604389227302050, 'n': 994, 'trace_an': 0}
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id: 264290994
{'hecke_orbit_code': 130604389227302050, 'n': 995, 'trace_an': -24}
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id: 264290995
{'hecke_orbit_code': 130604389227302050, 'n': 996, 'trace_an': 4}
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id: 264290996
{'hecke_orbit_code': 130604389227302050, 'n': 997, 'trace_an': -64}
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id: 264290997
{'hecke_orbit_code': 130604389227302050, 'n': 998, 'trace_an': 16}
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id: 264290998
{'hecke_orbit_code': 130604389227302050, 'n': 999, 'trace_an': -4}
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id: 264290999
{'hecke_orbit_code': 130604389227302050, 'n': 1000, 'trace_an': 24}