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{'Nk2': 13800, 'analytic_conductor': 27.548388697341732, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, -1], [23, 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': [3450, 1, [1151, 277, 1201], [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': [[7, [2, 1]], [11, [-18, 0, 1]], [13, [-4, -4, 1]], [17, [8, -8, 1]]], 'hecke_orbit': 37, 'hecke_orbit_code': 162129586618895738, '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': False, 'label': '3450.2.a.bk', 'level': 3450, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 23], 'level_radical': 690, 'minimal_twist': '690.2.d.b', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{3}+q^{4}+q^{6}-2q^{7}+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': '3450.2.a', 'trace_display': [2, 2, 0, -4], 'trace_hash': 504257574969167426, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.021', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.950', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.204', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.334', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.208', 'prec': 17}, {'__RealLiteral__': 0, 'data': '62.726', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.042', 'prec': 17}, 'traces': [2, 2, 2, 2, 0, 2, -4, 2, 2, 0, 0, 2, 4, -4, 0, 2, 8, 2, 4, 0, -4, 0, -2, 2, 0, 4, 2, -4, -4, 0, 12, 2, 0, 8, 0, 2, 4, 4, 4, 0, -8, -4, 12, 0, 0, -2, 4, 2, -6, 0, 8, 4, 24, 2, 0, -4, 4, -4, 0, 0, -4, 12, -4, 2, 0, 0, -4, 8, -2, 0, 0, 2, 4, 4, 0, 4, 0, 4, 4, 0, 2, -8, 0, -4, 0, 12, -4, 0, 24, 0, -8, -2, 12, 4, 0, 2, -12, -6, 0, 0, 4, 8, 4, 4, 0, 24, 16, 2, 28, 0, 4, -4, 0, 4, 0, -4, 4, 0, -16, 0, 14, -4, -8, 12, 0, -4, -4, 2, 12, 0, -32, 0, -8, -4, 0, 8, 0, -2, 0, 0, 4, 0, 24, 2, 0, 4, -6, 4, 0, 0, -20, 4, 8, 0, 0, 4, 28, 4, 24, 0, 4, 2, 8, -8, 0, 0, -12, -4, -2, 0, 4, 12, 12, -4, 0, 0, 0, 24, -32, 0, -4, -8, -4, -2, 0, 12, -24, 4, -4, 0, -16, 2, -8, -12, 0, -6, -4, 0, -28, 0, -4, 4, 8, 8, 0, 4, -2, 4, -36, 0, -24, 24, 0, 16, 0, 2, -24, 28, 4, 0, 0, 4, 32, -4, 0, 0, -8, 4, 12, 0, 0, -4, -24, 4, 0, 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-
mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, 1], [23, 1]], 2, 2], [[[2, -1], [3, -1], [5, -1], [23, -1]], 1, 1], [[[2, -1], [3, 1], [5, 1], [23, -1]], 2, 2], [[[2, 1], [3, 1], [5, -1], [23, -1]], 5, 3], [[[2, 1], [3, 1], [5, -1], [23, 1]], 3, 2], [[[2, -1], [3, -1], [5, -1], [23, 1]], 7, 4], [[[2, -1], [3, 1], [5, 1], [23, 1]], 5, 4], [[[2, -1], [3, 1], [5, -1], [23, -1]], 6, 2], [[[2, 1], [3, -1], [5, -1], [23, -1]], 6, 3], [[[2, 1], [3, 1], [5, 1], [23, -1]], 5, 4], [[[2, 1], [3, -1], [5, 1], [23, -1]], 3, 3], [[[2, 1], [3, -1], [5, 1], [23, 1]], 6, 3], [[[2, 1], [3, -1], [5, -1], [23, 1]], 4, 2], [[[2, 1], [3, 1], [5, 1], [23, 1]], 4, 3], [[[2, -1], [3, 1], [5, -1], [23, 1]], 4, 2], [[[2, -1], [3, -1], [5, 1], [23, -1]], 7, 6]], 'ALdims': [4, 5, 3, 5, 6, 3, 4, 6, 5, 2, 4, 6, 2, 7, 7, 1], 'Nk2': 13800, 'analytic_conductor': 27.548388697341732, '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': [3450, 1, [1151, 277, 1201], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 697, 'dim': 70, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17], 'hecke_orbit_code': 33557882, '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, 3, 3, 3, 3, 3, 3], 'label': '3450.2.a', 'level': 3450, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 23], 'level_radical': 690, 'mf_dim': 744, 'mf_new_dim': 70, 'num_forms': 46, 'plus_dim': 25, 'prim_orbit_index': 1, 'relative_dim': 70, 'sturm_bound': 1440, 'trace_bound': 13, 'trace_display': [-2, 2, 0, 0], 'traces': [70, -2, 2, 70, 0, -2, 0, -2, 70, 0, 0, 2, 4, 8, 0, 70, 4, -2, 20, 0, 20, 4, 0, -2, 0, 28, 2, 0, 28, 0, 16, -2, 4, 28, 0, 70, -8, 8, 28, 0, 4, -4, 28, 0, 0, -4, -8, 2, 102, 0, 8, 4, -12, -2, 0, 8, -4, -20, -8, 0, 56, 8, 0, 70, 0, 0, -12, 4, 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mf_twists_cc • Show schema
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id: 48866169
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 162129586618895738, 'source_is_minimal': False, 'source_label': '3450.2.a.bk.1.2', 'source_level': 3450, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 162129586618895738, 'target_is_minimal': False, 'target_label': '3450.2.a.bk.1.2', 'target_level': 3450, 'twist_class_label': '690.2.d.b.139.2', 'twist_class_level': 690, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48866170
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 162129586618895738, 'source_is_minimal': False, 'source_label': '3450.2.a.bk.1.2', 'source_level': 3450, 'target_conrey_index': 139, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4503805819355826, 'target_is_minimal': True, 'target_label': '690.2.d.b.139.4', 'target_level': 690, 'twist_class_label': '690.2.d.b.139.2', 'twist_class_level': 690, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48866171
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 162129586618895738, 'source_is_minimal': False, 'source_label': '3450.2.a.bk.1.2', 'source_level': 3450, 'target_conrey_index': 139, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503805819355826, 'target_is_minimal': True, 'target_label': '690.2.d.b.139.2', 'target_level': 690, 'twist_class_label': '690.2.d.b.139.2', 'twist_class_level': 690, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48866172
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 162129586618895738, 'source_is_minimal': False, 'source_label': '3450.2.a.bk.1.2', 'source_level': 3450, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 144115188109413754, 'target_is_minimal': False, 'target_label': '3450.2.a.bg.1.2', 'target_level': 3450, 'twist_class_label': '690.2.d.b.139.2', 'twist_class_level': 690, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48866173
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 162129586618895738, 'source_is_minimal': False, 'source_label': '3450.2.a.bk.1.2', 'source_level': 3450, 'target_conrey_index': 829, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206191986710, 'target_is_minimal': False, 'target_label': '2070.2.d.a.829.1', 'target_level': 2070, 'twist_class_label': '690.2.d.b.139.2', 'twist_class_level': 690, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48866174
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 162129586618895738, 'source_is_minimal': False, 'source_label': '3450.2.a.bk.1.2', 'source_level': 3450, 'target_conrey_index': 829, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 206191986710, 'target_is_minimal': False, 'target_label': '2070.2.d.a.829.3', 'target_level': 2070, 'twist_class_label': '690.2.d.b.139.2', 'twist_class_level': 690, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3118725
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 162129586618895738, 'p': 2}
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id: 3118726
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 162129586618895738, 'p': 3}
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id: 3118727
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 162129586618895738, 'p': 5}
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id: 3118728
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 162129586618895738, 'p': 7}
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id: 3118729
{'charpoly_factorization': [[[-18, 0, 1], 1]], 'hecke_orbit_code': 162129586618895738, 'p': 11}
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id: 3118730
{'charpoly_factorization': [[[-4, -4, 1], 1]], 'hecke_orbit_code': 162129586618895738, 'p': 13}
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id: 3118731
{'charpoly_factorization': [[[8, -8, 1], 1]], 'hecke_orbit_code': 162129586618895738, 'p': 17}
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id: 3118732
{'charpoly_factorization': [[[-14, -4, 1], 1]], 'hecke_orbit_code': 162129586618895738, 'p': 19}
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id: 3118733
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 162129586618895738, 'p': 23}
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id: 3118734
{'charpoly_factorization': [[[-28, 4, 1], 1]], 'hecke_orbit_code': 162129586618895738, 'p': 29}
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id: 3118735
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 162129586618895738, 'p': 31}
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id: 3118736
{'charpoly_factorization': [[[2, -4, 1], 1]], 'hecke_orbit_code': 162129586618895738, 'p': 37}
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id: 3118737
{'charpoly_factorization': [[[8, 8, 1], 1]], 'hecke_orbit_code': 162129586618895738, 'p': 41}
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id: 3118738
{'charpoly_factorization': [[[18, -12, 1], 1]], 'hecke_orbit_code': 162129586618895738, 'p': 43}
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id: 3118739
{'charpoly_factorization': [[[-4, -4, 1], 1]], 'hecke_orbit_code': 162129586618895738, 'p': 47}
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id: 3118740
{'charpoly_factorization': [[[142, -24, 1], 1]], 'hecke_orbit_code': 162129586618895738, 'p': 53}
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id: 3118741
{'charpoly_factorization': [[[-72, 0, 1], 1]], 'hecke_orbit_code': 162129586618895738, 'p': 59}
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id: 3118742
{'charpoly_factorization': [[[2, 4, 1], 1]], 'hecke_orbit_code': 162129586618895738, 'p': 61}
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id: 3118743
{'charpoly_factorization': [[[2, 4, 1], 1]], 'hecke_orbit_code': 162129586618895738, 'p': 67}
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id: 3118744
{'charpoly_factorization': [[[-32, 0, 1], 1]], 'hecke_orbit_code': 162129586618895738, 'p': 71}
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id: 3118745
{'charpoly_factorization': [[[-28, -4, 1], 1]], 'hecke_orbit_code': 162129586618895738, 'p': 73}
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id: 3118746
{'charpoly_factorization': [[[-28, -4, 1], 1]], 'hecke_orbit_code': 162129586618895738, 'p': 79}
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id: 3118747
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 162129586618895738, 'p': 83}
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id: 3118748
{'charpoly_factorization': [[[136, -24, 1], 1]], 'hecke_orbit_code': 162129586618895738, 'p': 89}
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id: 3118749
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 162129586618895738, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 37, 'label': '3450.2.a.bk', 'level': 3450, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 270912000
{'hecke_orbit_code': 162129586618895738, 'n': 1, 'trace_an': 2}
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id: 270912001
{'hecke_orbit_code': 162129586618895738, 'n': 2, 'trace_an': 2}
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id: 270912002
{'hecke_orbit_code': 162129586618895738, 'n': 3, 'trace_an': 2}
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id: 270912003
{'hecke_orbit_code': 162129586618895738, 'n': 4, 'trace_an': 2}
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id: 270912004
{'hecke_orbit_code': 162129586618895738, 'n': 5, 'trace_an': 0}
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id: 270912005
{'hecke_orbit_code': 162129586618895738, 'n': 6, 'trace_an': 2}
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id: 270912006
{'hecke_orbit_code': 162129586618895738, 'n': 7, 'trace_an': -4}
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id: 270912007
{'hecke_orbit_code': 162129586618895738, 'n': 8, 'trace_an': 2}
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id: 270912008
{'hecke_orbit_code': 162129586618895738, 'n': 9, 'trace_an': 2}
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id: 270912009
{'hecke_orbit_code': 162129586618895738, 'n': 10, 'trace_an': 0}
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id: 270912010
{'hecke_orbit_code': 162129586618895738, 'n': 11, 'trace_an': 0}
-
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