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{'Nk2': 36100, 'analytic_conductor': 72.06498782420555, 'analytic_rank': 1, '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': 3, 'field_disc': 169, 'field_disc_factorization': [[13, 2]], 'field_poly': [-1, -4, -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, [5, -3, -2, 1]], [3, [5, -3, -2, 1]], [7, [-1, 1, 4, 1]], [11, [-1, -4, -1, 1]], [29, [5, 4, -5, 1]]], 'hecke_orbit': 29, 'hecke_orbit_code': 126100789599937345, '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': '9025.2.a.bc', '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': '475.2.a.e', 'nf_label': '3.3.169.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(1-\\beta _{1})q^{2}+(1+\\beta _{2})q^{3}+(2-\\beta _{1}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9025.2.a', 'trace_display': [2, 2, 0, -4], 'trace_hash': 1820455977584609563, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.846', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '22.080', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '258.191', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.007', 'prec': 17}, 'traces': [3, 2, 2, 4, 0, -3, -4, 3, 1, 0, 1, 7, 3, -7, 0, -6, -14, -8, 0, 0, 6, 5, -8, 15, 0, -11, -1, -1, 5, 0, 1, 3, -8, -5, 0, -3, 5, 0, -11, 0, -1, 4, 5, -3, 0, 12, -9, -4, -7, 0, -18, -22, 31, -5, 0, 9, 0, -1, 6, 0, 3, 5, 3, 1, 0, -1, -13, -23, -1, 0, -7, 1, -1, -1, 0, 0, -10, -42, 18, 0, -21, 34, -3, -5, 0, -40, 12, -12, 20, 0, -17, 11, -21, -45, 0, 2, -13, 4, -4, 0, 12, 14, -16, -36, 0, 12, -4, -23, -5, 0, 38, 8, -14, 0, 0, 11, 14, 30, 10, 0, -24, -11, -5, -16, 0, 2, -30, -27, 12, 0, 5, -2, 0, -39, 0, -27, -37, 47, -7, 0, 7, -22, 14, -15, 0, -18, -35, 37, -9, 0, 4, 0, -9, -11, 0, -19, -4, -1, 12, 0, 15, -1, -49, 29, 0, 50, -13, -20, 42, 0, 0, -28, 0, -5, 0, -2, -22, 48, 3, 0, -1, -20, 15, 18, 0, -14, 4, -38, -16, 0, 21, -21, 19, 13, 0, -31, -29, 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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_cc • Show schema
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id: 48685690
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 126100789599937345, 'source_is_minimal': False, 'source_label': '9025.2.a.bc.1.1', 'source_level': 9025, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 126100789599937345, 'target_is_minimal': False, 'target_label': '9025.2.a.bc.1.1', 'target_level': 9025, 'twist_class_label': '475.2.a.e.1.3', 'twist_class_level': 475, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48685691
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 126100789599937345, 'source_is_minimal': False, 'source_label': '9025.2.a.bc.1.1', 'source_level': 9025, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 108086391090455361, 'target_is_minimal': False, 'target_label': '9025.2.a.y.1.3', 'target_level': 9025, 'twist_class_label': '475.2.a.e.1.3', 'twist_class_level': 475, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48685692
{'conductor': 19, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 126100789599937345, 'source_is_minimal': False, 'source_label': '9025.2.a.bc.1.1', 'source_level': 9025, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014398543036891, 'target_is_minimal': True, 'target_label': '475.2.a.e.1.3', 'target_level': 475, 'twist_class_label': '475.2.a.e.1.3', 'twist_class_level': 475, 'twisting_char_label': '19.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 48685693
{'conductor': 57, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 126100789599937345, 'source_is_minimal': False, 'source_label': '9025.2.a.bc.1.1', 'source_level': 9025, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 171136785873637555, 'target_is_minimal': False, 'target_label': '4275.2.a.bm.1.1', 'target_level': 4275, 'twist_class_label': '475.2.a.e.1.3', 'twist_class_level': 475, 'twisting_char_label': '57.56', 'twisting_conrey_index': 56, 'weight': 2}
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id: 48685694
{'conductor': 76, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 126100789599937345, 'source_is_minimal': False, 'source_label': '9025.2.a.bc.1.1', 'source_level': 9025, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 243194379911568816, 'target_is_minimal': False, 'target_label': '7600.2.a.cc.1.3', 'target_level': 7600, 'twist_class_label': '475.2.a.e.1.3', 'twist_class_level': 475, 'twisting_char_label': '76.75', 'twisting_conrey_index': 75, 'weight': 2}
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id: 48685695
{'conductor': 95, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 126100789599937345, 'source_is_minimal': False, 'source_label': '9025.2.a.bc.1.1', 'source_level': 9025, 'target_conrey_index': 324, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503668380402139, 'target_is_minimal': False, 'target_label': '475.2.b.b.324.2', 'target_level': 475, 'twist_class_label': '475.2.a.e.1.3', 'twist_class_level': 475, 'twisting_char_label': '95.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 48685696
{'conductor': 95, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 126100789599937345, 'source_is_minimal': False, 'source_label': '9025.2.a.bc.1.1', 'source_level': 9025, 'target_conrey_index': 324, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 4503668380402139, 'target_is_minimal': False, 'target_label': '475.2.b.b.324.5', 'target_level': 475, 'twist_class_label': '475.2.a.e.1.3', 'twist_class_level': 475, 'twisting_char_label': '95.37', 'twisting_conrey_index': 37, 'weight': 2}
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id: 48685697
{'conductor': 95, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 126100789599937345, 'source_is_minimal': False, 'source_label': '9025.2.a.bc.1.1', 'source_level': 9025, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797777883, 'target_is_minimal': True, 'target_label': '475.2.a.g.1.1', 'target_level': 475, 'twist_class_label': '475.2.a.e.1.3', 'twist_class_level': 475, 'twisting_char_label': '95.94', 'twisting_conrey_index': 94, 'weight': 2}
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id: 48685698
{'conductor': 285, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 126100789599937345, 'source_is_minimal': False, 'source_label': '9025.2.a.bc.1.1', 'source_level': 9025, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 117093590345191603, 'target_is_minimal': False, 'target_label': '4275.2.a.ba.1.3', 'target_level': 4275, 'twist_class_label': '475.2.a.e.1.3', 'twist_class_level': 475, 'twisting_char_label': '285.284', 'twisting_conrey_index': 284, 'weight': 2}
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id: 48685699
{'conductor': 380, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 126100789599937345, 'source_is_minimal': False, 'source_label': '9025.2.a.bc.1.1', 'source_level': 9025, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 148618787736788400, 'target_is_minimal': False, 'target_label': '7600.2.a.bh.1.1', 'target_level': 7600, 'twist_class_label': '475.2.a.e.1.3', 'twist_class_level': 475, 'twisting_char_label': '380.379', 'twisting_conrey_index': 379, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4914050
{'charpoly_factorization': [[[5, -3, -2, 1], 1]], 'hecke_orbit_code': 126100789599937345, 'p': 2}
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id: 4914051
{'charpoly_factorization': [[[5, -3, -2, 1], 1]], 'hecke_orbit_code': 126100789599937345, 'p': 3}
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id: 4914052
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 126100789599937345, 'p': 5}
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id: 4914053
{'charpoly_factorization': [[[-1, 1, 4, 1], 1]], 'hecke_orbit_code': 126100789599937345, 'p': 7}
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id: 4914054
{'charpoly_factorization': [[[-1, -4, -1, 1], 1]], 'hecke_orbit_code': 126100789599937345, 'p': 11}
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id: 4914055
{'charpoly_factorization': [[[103, -36, -3, 1], 1]], 'hecke_orbit_code': 126100789599937345, 'p': 13}
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id: 4914056
{'charpoly_factorization': [[[79, 61, 14, 1], 1]], 'hecke_orbit_code': 126100789599937345, 'p': 17}
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id: 4914057
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 126100789599937345, 'p': 19}
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id: 4914058
{'charpoly_factorization': [[[-125, -9, 8, 1], 1]], 'hecke_orbit_code': 126100789599937345, 'p': 23}
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id: 4914059
{'charpoly_factorization': [[[5, 4, -5, 1], 1]], 'hecke_orbit_code': 126100789599937345, 'p': 29}
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id: 4914060
{'charpoly_factorization': [[[-53, -30, -1, 1], 1]], 'hecke_orbit_code': 126100789599937345, 'p': 31}
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id: 4914061
{'charpoly_factorization': [[[395, -74, -5, 1], 1]], 'hecke_orbit_code': 126100789599937345, 'p': 37}
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id: 4914062
{'charpoly_factorization': [[[-155, -82, 1, 1], 1]], 'hecke_orbit_code': 126100789599937345, 'p': 41}
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id: 4914063
{'charpoly_factorization': [[[317, -113, -5, 1], 1]], 'hecke_orbit_code': 126100789599937345, 'p': 43}
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id: 4914064
{'charpoly_factorization': [[[-311, -64, 9, 1], 1]], 'hecke_orbit_code': 126100789599937345, 'p': 47}
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id: 4914065
{'charpoly_factorization': [[[-905, 303, -31, 1], 1]], 'hecke_orbit_code': 126100789599937345, 'p': 53}
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id: 4914066
{'charpoly_factorization': [[[200, -40, -6, 1], 1]], 'hecke_orbit_code': 126100789599937345, 'p': 59}
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id: 4914067
{'charpoly_factorization': [[[-1, -10, -3, 1], 1]], 'hecke_orbit_code': 126100789599937345, 'p': 61}
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id: 4914068
{'charpoly_factorization': [[[-169, 0, 13, 1], 1]], 'hecke_orbit_code': 126100789599937345, 'p': 67}
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id: 4914069
{'charpoly_factorization': [[[-47, -1, 7, 1], 1]], 'hecke_orbit_code': 126100789599937345, 'p': 71}
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id: 4914070
{'charpoly_factorization': [[[53, -30, 1, 1], 1]], 'hecke_orbit_code': 126100789599937345, 'p': 73}
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id: 4914071
{'charpoly_factorization': [[[395, 17, -18, 1], 1]], 'hecke_orbit_code': 126100789599937345, 'p': 79}
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id: 4914072
{'charpoly_factorization': [[[131, -270, 3, 1], 1]], 'hecke_orbit_code': 126100789599937345, 'p': 83}
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id: 4914073
{'charpoly_factorization': [[[125, 51, -20, 1], 1]], 'hecke_orbit_code': 126100789599937345, 'p': 89}
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id: 4914074
{'charpoly_factorization': [[[-169, 0, 13, 1], 1]], 'hecke_orbit_code': 126100789599937345, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 29, 'label': '9025.2.a.bc', 'level': 9025, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 263896000
{'hecke_orbit_code': 126100789599937345, 'n': 1, 'trace_an': 3}
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id: 263896001
{'hecke_orbit_code': 126100789599937345, 'n': 2, 'trace_an': 2}
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id: 263896002
{'hecke_orbit_code': 126100789599937345, 'n': 3, 'trace_an': 2}
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id: 263896003
{'hecke_orbit_code': 126100789599937345, 'n': 4, 'trace_an': 4}
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id: 263896004
{'hecke_orbit_code': 126100789599937345, 'n': 5, 'trace_an': 0}
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id: 263896005
{'hecke_orbit_code': 126100789599937345, 'n': 6, 'trace_an': -3}
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id: 263896006
{'hecke_orbit_code': 126100789599937345, 'n': 7, 'trace_an': -4}
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id: 263896007
{'hecke_orbit_code': 126100789599937345, 'n': 8, 'trace_an': 3}
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id: 263896008
{'hecke_orbit_code': 126100789599937345, 'n': 9, 'trace_an': 1}
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id: 263896009
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