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{'Nk2': 36300, 'analytic_conductor': 72.46423983431195, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, 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': [9075, 1, [3026, 727, 5326], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 5, 'field_disc_factorization': [[5, 1]], 'field_poly': [-1, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 10, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-1, 1, 1]], [7, [4, 6, 1]], [13, [-4, -2, 1]], [17, [-2, 1]], [19, [5, 1]], [23, [11, 7, 1]], [37, [-11, -6, 1]]], 'hecke_orbit': 29, 'hecke_orbit_code': 126100789599937395, 'hecke_ring_generator_nbound': 2, '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': '9075.2.a.bc', 'level': 9075, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 11], 'level_radical': 165, 'minimal_twist': '825.2.n.b', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta q^{2}+q^{3}+(-1+\\beta )q^{4}-\\beta q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9075.2.a', 'trace_display': [-1, 2, 0, -6], 'trace_hash': 1985290338653802384, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.961', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.344', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '60.895', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.010', 'prec': 17}, 'traces': [2, -1, 2, -1, 0, -1, -6, 0, 2, 0, 0, -1, 2, 8, 0, -3, 4, -1, -10, 0, -6, 0, -7, 0, 0, -6, 2, -2, 5, 0, 14, 9, 0, -2, 0, -1, 6, 5, 2, 0, -14, 8, 7, 0, 0, 6, 1, -3, 14, 0, 4, 4, 13, -1, 0, -10, -10, 5, 0, 0, -14, -7, -6, 4, 0, 0, 21, -2, -7, 0, -16, 0, -18, 7, 0, 5, 0, -6, 5, 0, 2, 17, 2, -2, 0, -16, 5, 0, 15, 0, -16, 1, 14, -13, 0, 9, -14, -37, 0, 0, -19, -2, -7, 10, 0, -4, -1, -1, -15, 0, 6, 24, -2, 5, 0, -10, 2, -15, -12, 0, 0, 7, -14, -7, 0, 8, 14, -25, 7, 0, -4, 0, 30, -13, 0, 0, -24, 6, -20, 0, 1, 8, 0, -3, 0, -1, 14, -13, 0, 0, 26, 0, 4, 0, 0, 4, -9, 10, 13, 0, 26, -1, -7, -3, 0, -16, -11, -10, -14, 0, -10, 9, -13, 5, 0, 0, 0, 0, -30, 0, -6, 28, -14, -5, 0, -7, 0, 12, -6, 0, -6, 4, -13, -3, 0, 23, 24, 0, 15, 0, 21, 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mf_newspaces • Show schema
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{'AL_dims': [[[[3, -1], [5, -1], [11, -1]], 52, 10], [[[3, 1], [5, -1], [11, -1]], 45, 12], [[[3, 1], [5, -1], [11, 1]], 46, 14], [[[3, -1], [5, 1], [11, -1]], 35, 17], [[[3, 1], [5, 1], [11, 1]], 36, 12], [[[3, -1], [5, -1], [11, 1]], 38, 10], [[[3, -1], [5, 1], [11, 1]], 48, 16], [[[3, 1], [5, 1], [11, -1]], 45, 14]], 'ALdims': [36, 45, 46, 45, 48, 35, 38, 52], 'Nk2': 36300, 'analytic_conductor': 72.46423983431195, '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': [9075, 1, [3026, 727, 5326], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1249, 'dim': 345, 'eis_dim': 143, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 13, 17, 19, 23, 37], 'hecke_orbit_code': 33563507, 'hecke_orbit_dims': [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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 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mf_twists_cc • Show schema
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id: 48685907
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 126100789599937395, 'source_is_minimal': False, 'source_label': '9075.2.a.bc.1.2', 'source_level': 9075, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 126100789599937395, 'target_is_minimal': False, 'target_label': '9075.2.a.bc.1.2', 'target_level': 9075, 'twist_class_label': '825.2.n.b.301.1', 'twist_class_level': 825, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48685908
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 126100789599937395, 'source_is_minimal': False, 'source_label': '9075.2.a.bc.1.2', 'source_level': 9075, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 202661983265235827, 'target_is_minimal': False, 'target_label': '9075.2.a.bt.1.1', 'target_level': 9075, 'twist_class_label': '825.2.n.b.301.1', 'twist_class_level': 825, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48685909
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 126100789599937395, 'source_is_minimal': False, 'source_label': '9075.2.a.bc.1.2', 'source_level': 9075, 'target_conrey_index': 301, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511692268864313, 'target_is_minimal': True, 'target_label': '825.2.n.d.301.1', 'target_level': 825, 'twist_class_label': '825.2.n.b.301.1', 'twist_class_level': 825, 'twisting_char_label': '11.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48685910
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 126100789599937395, 'source_is_minimal': False, 'source_label': '9075.2.a.bc.1.2', 'source_level': 9075, 'target_conrey_index': 751, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511692268864313, 'target_is_minimal': True, 'target_label': '825.2.n.d.751.1', 'target_level': 825, 'twist_class_label': '825.2.n.b.301.1', 'twist_class_level': 825, 'twisting_char_label': '11.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 48685911
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 126100789599937395, 'source_is_minimal': False, 'source_label': '9075.2.a.bc.1.2', 'source_level': 9075, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 225179981402088307, 'target_is_minimal': False, 'target_label': '9075.2.a.by.1.1', 'target_level': 9075, 'twist_class_label': '825.2.n.b.301.1', 'twist_class_level': 825, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 48685912
{'conductor': 55, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 126100789599937395, 'source_is_minimal': False, 'source_label': '9075.2.a.bc.1.2', 'source_level': 9075, 'target_conrey_index': 499, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9010566542656313, 'target_is_minimal': False, 'target_label': '825.2.bx.c.499.1', 'target_level': 825, 'twist_class_label': '825.2.n.b.301.1', 'twist_class_level': 825, 'twisting_char_label': '55.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48685913
{'conductor': 55, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 126100789599937395, 'source_is_minimal': False, 'source_label': '9075.2.a.bc.1.2', 'source_level': 9075, 'target_conrey_index': 499, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9010566542656313, 'target_is_minimal': False, 'target_label': '825.2.bx.c.499.2', 'target_level': 825, 'twist_class_label': '825.2.n.b.301.1', 'twist_class_level': 825, 'twisting_char_label': '55.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 48685914
{'conductor': 55, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 126100789599937395, 'source_is_minimal': False, 'source_label': '9075.2.a.bc.1.2', 'source_level': 9075, 'target_conrey_index': 124, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9010566542656313, 'target_is_minimal': False, 'target_label': '825.2.bx.c.124.2', 'target_level': 825, 'twist_class_label': '825.2.n.b.301.1', 'twist_class_level': 825, 'twisting_char_label': '55.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 48685915
{'conductor': 55, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 126100789599937395, 'source_is_minimal': False, 'source_label': '9075.2.a.bc.1.2', 'source_level': 9075, 'target_conrey_index': 301, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504493014123321, 'target_is_minimal': True, 'target_label': '825.2.n.b.301.1', 'target_level': 825, 'twist_class_label': '825.2.n.b.301.1', 'twist_class_level': 825, 'twisting_char_label': '55.24', 'twisting_conrey_index': 24, 'weight': 2}
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id: 48685916
{'conductor': 55, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 126100789599937395, 'source_is_minimal': False, 'source_label': '9075.2.a.bc.1.2', 'source_level': 9075, 'target_conrey_index': 124, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9010566542656313, 'target_is_minimal': False, 'target_label': '825.2.bx.c.124.1', 'target_level': 825, 'twist_class_label': '825.2.n.b.301.1', 'twist_class_level': 825, 'twisting_char_label': '55.28', 'twisting_conrey_index': 28, 'weight': 2}
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id: 48685917
{'conductor': 55, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 126100789599937395, 'source_is_minimal': False, 'source_label': '9075.2.a.bc.1.2', 'source_level': 9075, 'target_conrey_index': 751, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504493014123321, 'target_is_minimal': True, 'target_label': '825.2.n.b.751.1', 'target_level': 825, 'twist_class_label': '825.2.n.b.301.1', 'twist_class_level': 825, 'twisting_char_label': '55.39', 'twisting_conrey_index': 39, 'weight': 2}
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id: 48685918
{'conductor': 55, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 126100789599937395, 'source_is_minimal': False, 'source_label': '9075.2.a.bc.1.2', 'source_level': 9075, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 112589990717825907, 'target_is_minimal': False, 'target_label': '9075.2.a.z.1.2', 'target_level': 9075, 'twist_class_label': '825.2.n.b.301.1', 'twist_class_level': 825, 'twisting_char_label': '55.54', 'twisting_conrey_index': 54, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4927025
{'charpoly_factorization': [[[-1, 1, 1], 1]], 'hecke_orbit_code': 126100789599937395, 'p': 2}
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id: 4927026
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 126100789599937395, 'p': 3}
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id: 4927027
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 126100789599937395, 'p': 5}
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id: 4927028
{'charpoly_factorization': [[[4, 6, 1], 1]], 'hecke_orbit_code': 126100789599937395, 'p': 7}
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id: 4927029
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 126100789599937395, 'p': 11}
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id: 4927030
{'charpoly_factorization': [[[-4, -2, 1], 1]], 'hecke_orbit_code': 126100789599937395, 'p': 13}
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id: 4927031
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 126100789599937395, 'p': 17}
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id: 4927032
{'charpoly_factorization': [[[5, 1], 2]], 'hecke_orbit_code': 126100789599937395, 'p': 19}
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id: 4927033
{'charpoly_factorization': [[[11, 7, 1], 1]], 'hecke_orbit_code': 126100789599937395, 'p': 23}
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id: 4927034
{'charpoly_factorization': [[[-5, -5, 1], 1]], 'hecke_orbit_code': 126100789599937395, 'p': 29}
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id: 4927035
{'charpoly_factorization': [[[-7, 1], 2]], 'hecke_orbit_code': 126100789599937395, 'p': 31}
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id: 4927036
{'charpoly_factorization': [[[-11, -6, 1], 1]], 'hecke_orbit_code': 126100789599937395, 'p': 37}
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id: 4927037
{'charpoly_factorization': [[[29, 14, 1], 1]], 'hecke_orbit_code': 126100789599937395, 'p': 41}
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id: 4927038
{'charpoly_factorization': [[[-19, -7, 1], 1]], 'hecke_orbit_code': 126100789599937395, 'p': 43}
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id: 4927039
{'charpoly_factorization': [[[-31, -1, 1], 1]], 'hecke_orbit_code': 126100789599937395, 'p': 47}
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id: 4927040
{'charpoly_factorization': [[[41, -13, 1], 1]], 'hecke_orbit_code': 126100789599937395, 'p': 53}
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id: 4927041
{'charpoly_factorization': [[[-45, 0, 1], 1]], 'hecke_orbit_code': 126100789599937395, 'p': 59}
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id: 4927042
{'charpoly_factorization': [[[7, 1], 2]], 'hecke_orbit_code': 126100789599937395, 'p': 61}
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id: 4927043
{'charpoly_factorization': [[[109, -21, 1], 1]], 'hecke_orbit_code': 126100789599937395, 'p': 67}
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id: 4927044
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 126100789599937395, 'p': 71}
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id: 4927045
{'charpoly_factorization': [[[61, 18, 1], 1]], 'hecke_orbit_code': 126100789599937395, 'p': 73}
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id: 4927046
{'charpoly_factorization': [[[-25, -5, 1], 1]], 'hecke_orbit_code': 126100789599937395, 'p': 79}
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id: 4927047
{'charpoly_factorization': [[[-44, -2, 1], 1]], 'hecke_orbit_code': 126100789599937395, 'p': 83}
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id: 4927048
{'charpoly_factorization': [[[45, -15, 1], 1]], 'hecke_orbit_code': 126100789599937395, 'p': 89}
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id: 4927049
{'charpoly_factorization': [[[29, 14, 1], 1]], 'hecke_orbit_code': 126100789599937395, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 29, 'label': '9075.2.a.bc', 'level': 9075, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 263905000
{'hecke_orbit_code': 126100789599937395, 'n': 1, 'trace_an': 2}
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id: 263905001
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