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{'Nk2': 36100, 'analytic_conductor': 72.06498782420555, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[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': [9025, 1, [5777, 3251], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 4, 'field_disc': 2225, 'field_disc_factorization': [[5, 2], [89, 1]], 'field_poly': [4, 2, -5, -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': [[2, [4, -2, -5, 1, 1]], [3, [1, -11, -8, 1, 1]], [7, [19, -53, 40, -11, 1]], [11, [-1, -10, -9, 0, 1]], [29, [-116, -50, 49, 15, 1]]], 'hecke_orbit': 34, 'hecke_orbit_code': 148618787736789825, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '9025.2.a.bh', 'level': 9025, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [5, 19], 'level_radical': 95, 'minimal_twist': '1805.2.a.j', 'nf_label': '4.4.2225.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+(\\beta _{1}+\\beta _{3})q^{3}+(1+\\beta _{1}+\\beta _{3})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9025.2.a', 'trace_display': [-1, -1, 0, 11], 'trace_hash': 908657209164601673, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.682', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '38.384', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '618.116', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.005', 'prec': 17}, 'traces': [4, -1, -1, 3, 0, -7, 11, -6, 5, 0, 0, 16, 2, -11, 0, -3, 7, -17, 0, 0, 2, -1, 11, -13, 0, 9, 14, 13, -15, 0, -1, -3, -12, -22, 0, 16, 11, 0, -29, 0, 22, -19, 26, -12, 0, 10, 26, 13, 13, 0, -11, -27, 16, -25, 0, -8, 0, 3, -10, 0, 2, 31, 17, 4, 0, 22, -3, -4, 14, 0, 18, -29, 24, -17, 0, 0, 6, 15, 30, 0, -4, 13, 12, 52, 0, -16, 1, 23, 9, 0, -9, 25, -7, -11, 0, -6, -19, -48, -9, 0, 25, -18, -27, 6, 0, -6, 23, 25, -40, 0, -5, -5, -13, 0, 0, -14, 3, -38, 32, 0, -26, 37, 9, -8, 0, -61, 5, 21, -23, 0, -9, -21, 0, 11, 0, 4, 25, -51, -10, 0, 17, 17, 14, 37, 0, -9, 11, 6, 47, 0, 28, 0, 44, -3, 0, -20, 8, -6, 17, 0, 10, 2, 27, 31, 0, 8, -55, -75, 16, 0, 0, 3, 13, 64, 0, -9, 29, -9, -42, 0, -22, 23, 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mf_hecke_nf • Show schema
Hide schema
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-16], [-41, 32, 6, 1], [6, -22, -4, 1], [14, -28, -13, -15], [-58, 5, -1, 13], [23, -1, -1, 23], [-26, 3, -12, -34], [-71, 2, -36, -24], [28, 27, 8, 17], [-53, 14, -59, 3], [19, -18, 8, -6]], 'char_orbit_index': 1, 'field_poly': [4, 2, -5, -1, 1], 'hecke_orbit_code': 148618787736789825, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 2, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [3, 1, 0, 1], [3, 4, 2, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, -3, -1, 1], [-3, -1, 1, 0]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '9025.2.a.bh', 'level': 9025, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[5, -1], [19, -1]], 129, 17], [[[5, -1], [19, 1]], 139, 12], [[[5, 1], [19, 1]], 121, 18], [[[5, 1], [19, -1]], 126, 27]], 'ALdims': [121, 126, 139, 129], 'Nk2': 36100, 'analytic_conductor': 72.06498782420555, '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': [9025, 1, [5777, 3251], [1, 1]], 'conrey_index': 1, 'cusp_dim': 891, 'dim': 515, 'eis_dim': 119, 'eis_new_dim': 51, 'hecke_cutter_primes': [2, 3, 7, 11, 29], 'hecke_orbit_code': 33563457, 'hecke_orbit_dims': [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, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 9, 9, 9, 9, 10, 10, 10, 10, 16, 16, 16, 20, 20, 21, 21, 21, 21, 24, 24, 40], 'label': '9025.2.a', 'level': 9025, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [5, 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mf_twists_nf • Show schema
Hide schema
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id: 1414972
{'conductor': 95, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 34, 'source_is_minimal': False, 'source_label': '9025.2.a.bh', 'source_level': 9025, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': True, 'target_label': '1805.2.a.j', 'target_level': 1805, 'twist_class_label': '1805.2.a.j', 'twist_class_level': 1805, 'twisting_char_label': '95.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1414973
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 34, 'source_is_minimal': False, 'source_label': '9025.2.a.bh', 'source_level': 9025, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': True, 'target_label': '1805.2.a.n', 'target_level': 1805, 'twist_class_label': '1805.2.a.j', 'twist_class_level': 1805, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1414974
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 34, 'source_is_minimal': False, 'source_label': '9025.2.a.bh', 'source_level': 9025, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 34, 'target_is_minimal': False, 'target_label': '9025.2.a.bh', 'target_level': 9025, 'twist_class_label': '1805.2.a.j', 'twist_class_level': 1805, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1414975
{'conductor': 19, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 34, 'source_is_minimal': False, 'source_label': '9025.2.a.bh', 'source_level': 9025, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 41, 'target_is_minimal': False, 'target_label': '9025.2.a.bo', 'target_level': 9025, 'twist_class_label': '1805.2.a.j', 'twist_class_level': 1805, 'twisting_char_label': '19.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4914175
{'charpoly_factorization': [[[4, -2, -5, 1, 1], 1]], 'hecke_orbit_code': 148618787736789825, 'p': 2}
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id: 4914176
{'charpoly_factorization': [[[1, -11, -8, 1, 1], 1]], 'hecke_orbit_code': 148618787736789825, 'p': 3}
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id: 4914177
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 148618787736789825, 'p': 5}
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id: 4914178
{'charpoly_factorization': [[[19, -53, 40, -11, 1], 1]], 'hecke_orbit_code': 148618787736789825, 'p': 7}
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id: 4914179
{'charpoly_factorization': [[[-1, -10, -9, 0, 1], 1]], 'hecke_orbit_code': 148618787736789825, 'p': 11}
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id: 4914180
{'charpoly_factorization': [[[71, -22, -32, -2, 1], 1]], 'hecke_orbit_code': 148618787736789825, 'p': 13}
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id: 4914181
{'charpoly_factorization': [[[-436, 256, -25, -7, 1], 1]], 'hecke_orbit_code': 148618787736789825, 'p': 17}
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id: 4914182
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 148618787736789825, 'p': 19}
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id: 4914183
{'charpoly_factorization': [[[-709, 281, 2, -11, 1], 1]], 'hecke_orbit_code': 148618787736789825, 'p': 23}
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id: 4914184
{'charpoly_factorization': [[[-116, -50, 49, 15, 1], 1]], 'hecke_orbit_code': 148618787736789825, 'p': 29}
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id: 4914185
{'charpoly_factorization': [[[659, 3, -60, 1, 1], 1]], 'hecke_orbit_code': 148618787736789825, 'p': 31}
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id: 4914186
{'charpoly_factorization': [[[-101, 17, 30, -11, 1], 1]], 'hecke_orbit_code': 148618787736789825, 'p': 37}
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id: 4914187
{'charpoly_factorization': [[[-4061, 606, 100, -22, 1], 1]], 'hecke_orbit_code': 148618787736789825, 'p': 41}
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id: 4914188
{'charpoly_factorization': [[[379, -688, 225, -26, 1], 1]], 'hecke_orbit_code': 148618787736789825, 'p': 43}
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id: 4914189
{'charpoly_factorization': [[[-1681, -238, 200, -26, 1], 1]], 'hecke_orbit_code': 148618787736789825, 'p': 47}
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id: 4914190
{'charpoly_factorization': [[[-1891, 532, 25, -16, 1], 1]], 'hecke_orbit_code': 148618787736789825, 'p': 53}
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id: 4914191
{'charpoly_factorization': [[[829, -350, -41, 10, 1], 1]], 'hecke_orbit_code': 148618787736789825, 'p': 59}
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id: 4914192
{'charpoly_factorization': [[[-1744, 932, -131, -2, 1], 1]], 'hecke_orbit_code': 148618787736789825, 'p': 61}
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id: 4914193
{'charpoly_factorization': [[[2389, -79, -110, 3, 1], 1]], 'hecke_orbit_code': 148618787736789825, 'p': 67}
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id: 4914194
{'charpoly_factorization': [[[19, -166, 100, -18, 1], 1]], 'hecke_orbit_code': 148618787736789825, 'p': 71}
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id: 4914195
{'charpoly_factorization': [[[-2071, 88, 150, -24, 1], 1]], 'hecke_orbit_code': 148618787736789825, 'p': 73}
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id: 4914196
{'charpoly_factorization': [[[2384, -1460, 321, -30, 1], 1]], 'hecke_orbit_code': 148618787736789825, 'p': 79}
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id: 4914197
{'charpoly_factorization': [[[4, 296, -5, -12, 1], 1]], 'hecke_orbit_code': 148618787736789825, 'p': 83}
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id: 4914198
{'charpoly_factorization': [[[-1, 13, 0, -9, 1], 1]], 'hecke_orbit_code': 148618787736789825, 'p': 89}
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id: 4914199
{'charpoly_factorization': [[[-839, -1229, -48, 19, 1], 1]], 'hecke_orbit_code': 148618787736789825, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 34, 'label': '9025.2.a.bh', 'level': 9025, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 269066000
{'hecke_orbit_code': 148618787736789825, 'n': 1, 'trace_an': 4}
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id: 269066001
{'hecke_orbit_code': 148618787736789825, 'n': 2, 'trace_an': -1}
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id: 269066002
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