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{'Nk2': 37620, 'analytic_conductor': 75.0993031010142, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, -1], [11, -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': [9405, 1, [1046, 1882, 5986, 496], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 6, 'field_disc': 7281497, 'field_disc_factorization': [[31, 2], [7577, 1]], 'field_poly': [-1, -2, 6, 7, -5, -2, 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, [-1, -3, 11, 8, -6, -2, 1]], [7, [2, -25, -53, 58, -7, -5, 1]], [13, [2, 21, 22, -39, -7, 5, 1]], [17, [-1360, -1329, 1226, -25, -73, 1, 1]]], 'hecke_orbit': 26, 'hecke_orbit_code': 112589990717826237, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '9405.2.a.z', 'level': 9405, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 11, 19], 'level_radical': 3135, 'minimal_twist': '1045.2.a.f', 'nf_label': '6.6.7281497.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{4}q^{2}+(\\beta _{4}+\\beta _{5})q^{4}+q^{5}+(1-\\beta _{1}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9405.2.a', 'trace_display': 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mf_newspaces • Show schema
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{'ALdims': [15, 19, 15, 11, 15, 11, 15, 19, 23, 21, 23, 25, 22, 24, 22, 20], 'Nk2': 37620, 'analytic_conductor': 75.0993031010142, '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': [9405, 1, [1046, 1882, 5986, 496], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1425, 'dim': 300, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 13, 17], 'hecke_orbit_code': 33563837, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 12, 14, 14, 15, 15, 19, 19], 'label': '9405.2.a', 'level': 9405, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 11, 19], 'level_radical': 3135, 'mf_dim': 1456, 'mf_new_dim': 300, 'num_forms': 48, 'plus_dim': 138, 'prim_orbit_index': 1, 'relative_dim': 300, 'sturm_bound': 2880, 'trace_bound': 11, 'trace_display': [0, 0, -4, 0], 'traces': [300, 0, 0, 300, -4, 0, 0, -24, 0, 0, 0, 0, 0, -40, 0, 308, 0, 0, 0, -4, 0, 0, -24, 0, 300, -16, 0, 0, -16, 0, 8, -88, 0, 8, 8, 0, 0, -12, 0, 0, 8, 0, -24, 8, 0, -8, -48, 0, 340, 0, 0, 72, 16, 0, 8, -80, 0, 48, 8, 0, 40, 16, 0, 412, 8, 0, -24, -16, 0, 32, 40, 0, -16, 16, 0, 0, -8, 0, -8, -12, 0, 112, -40, 0, 8, 0, 0, 0, -40, 0, 16, 48, 0, 152, 0, 0, -40, 104, 0, 300, -120, 0, -24, 72, 0, 56, 64, 0, -8, 0, 0, 192, -48, 0, 24, 8, 0, 168, 0, 0, 300, 104, 0, 120, -4, 0, -16, -120, 0, 16, 56, 0, 8, 120, 0, 104, -64, 0, 8, 32, 0, -72, 0, 0, 8, 24, 0, 96, -8, 0, 8, -12, 0, 8, 48, 0, -24, 72, 0, 0, -40, 0, 48, -96, 0, -160, -152, 0, 220, 8, 0, -112, -136, 0, 0, 16, 0, -136, 88, 0, 48, 64, 0, 152, 8, 0, 8, 48, 0, 4, -8, 0, -112, 48, 0, 444, -168, 0, 16, -24, 0, 16, 0, 0, 72, 56, 0, -48, 0, 0, 72, 240, 0, -192, 48, 0, -120, -192, 0, 16, 8, 0, 160, -104, 0, 8, -64, 0, 8, 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mf_twists_cc • Show schema
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id: 48588395
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 112589990717826237, 'source_is_minimal': False, 'source_label': '9405.2.a.z.1.2', 'source_level': 9405, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 112589990717826237, 'target_is_minimal': False, 'target_label': '9405.2.a.z.1.2', 'target_level': 9405, 'twist_class_label': '1045.2.a.f.1.5', 'twist_class_level': 1045, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48588396
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 112589990717826237, 'source_is_minimal': False, 'source_label': '9405.2.a.z.1.2', 'source_level': 9405, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 22517998170407957, 'target_is_minimal': True, 'target_label': '1045.2.a.f.1.5', 'target_level': 1045, 'twist_class_label': '1045.2.a.f.1.5', 'twist_class_level': 1045, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48588397
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 112589990717826237, 'source_is_minimal': False, 'source_label': '9405.2.a.z.1.2', 'source_level': 9405, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49539595934635113, 'target_is_minimal': False, 'target_label': '5225.2.a.l.1.2', 'target_level': 5225, 'twist_class_label': '1045.2.a.f.1.5', 'twist_class_level': 1045, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 5019125
{'charpoly_factorization': [[[-1, -3, 11, 8, -6, -2, 1], 1]], 'hecke_orbit_code': 112589990717826237, 'p': 2}
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id: 5019126
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 112589990717826237, 'p': 3}
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id: 5019127
{'charpoly_factorization': [[[-1, 1], 6]], 'hecke_orbit_code': 112589990717826237, 'p': 5}
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id: 5019128
{'charpoly_factorization': [[[2, -25, -53, 58, -7, -5, 1], 1]], 'hecke_orbit_code': 112589990717826237, 'p': 7}
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id: 5019129
{'charpoly_factorization': [[[-1, 1], 6]], 'hecke_orbit_code': 112589990717826237, 'p': 11}
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id: 5019130
{'charpoly_factorization': [[[2, 21, 22, -39, -7, 5, 1], 1]], 'hecke_orbit_code': 112589990717826237, 'p': 13}
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id: 5019131
{'charpoly_factorization': [[[-1360, -1329, 1226, -25, -73, 1, 1], 1]], 'hecke_orbit_code': 112589990717826237, 'p': 17}
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id: 5019132
{'charpoly_factorization': [[[1, 1], 6]], 'hecke_orbit_code': 112589990717826237, 'p': 19}
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id: 5019133
{'charpoly_factorization': [[[-8912, -1921, 2870, -159, -98, 4, 1], 1]], 'hecke_orbit_code': 112589990717826237, 'p': 23}
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id: 5019134
{'charpoly_factorization': [[[3074, -2417, -44, 347, -41, -9, 1], 1]], 'hecke_orbit_code': 112589990717826237, 'p': 29}
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id: 5019135
{'charpoly_factorization': [[[-20, -203, -486, 167, 131, 21, 1], 1]], 'hecke_orbit_code': 112589990717826237, 'p': 31}
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id: 5019136
{'charpoly_factorization': [[[-592, -1717, -1631, -622, -82, 3, 1], 1]], 'hecke_orbit_code': 112589990717826237, 'p': 37}
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id: 5019137
{'charpoly_factorization': [[[-4210, 4233, -603, -465, 180, -23, 1], 1]], 'hecke_orbit_code': 112589990717826237, 'p': 41}
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id: 5019138
{'charpoly_factorization': [[[-326, -519, 207, 222, -41, -7, 1], 1]], 'hecke_orbit_code': 112589990717826237, 'p': 43}
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id: 5019139
{'charpoly_factorization': [[[-620, -3193, -1116, 433, 50, -18, 1], 1]], 'hecke_orbit_code': 112589990717826237, 'p': 47}
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id: 5019140
{'charpoly_factorization': [[[-4084, 5189, -2224, 259, 61, -17, 1], 1]], 'hecke_orbit_code': 112589990717826237, 'p': 53}
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id: 5019141
{'charpoly_factorization': [[[-54968, 38091, -7538, -281, 261, -29, 1], 1]], 'hecke_orbit_code': 112589990717826237, 'p': 59}
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id: 5019142
{'charpoly_factorization': [[[2294, -4495, 1240, 889, -37, -17, 1], 1]], 'hecke_orbit_code': 112589990717826237, 'p': 61}
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id: 5019143
{'charpoly_factorization': [[[-73006, -46067, 9604, 1252, -197, -8, 1], 1]], 'hecke_orbit_code': 112589990717826237, 'p': 67}
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id: 5019144
{'charpoly_factorization': [[[-5912, 9959, -5772, 1277, -56, -12, 1], 1]], 'hecke_orbit_code': 112589990717826237, 'p': 71}
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id: 5019145
{'charpoly_factorization': [[[-4000, 481, 1170, 4, -71, -2, 1], 1]], 'hecke_orbit_code': 112589990717826237, 'p': 73}
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id: 5019146
{'charpoly_factorization': [[[28264, -28587, 7777, 238, -234, -3, 1], 1]], 'hecke_orbit_code': 112589990717826237, 'p': 79}
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id: 5019147
{'charpoly_factorization': [[[-82582, -32921, 6286, 1951, -245, -11, 1], 1]], 'hecke_orbit_code': 112589990717826237, 'p': 83}
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id: 5019148
{'charpoly_factorization': [[[3286, 1705, -4526, 876, 65, -22, 1], 1]], 'hecke_orbit_code': 112589990717826237, 'p': 89}
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id: 5019149
{'charpoly_factorization': [[[-967268, 24949, 36688, -554, -369, 2, 1], 1]], 'hecke_orbit_code': 112589990717826237, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 26, 'label': '9405.2.a.z', 'level': 9405, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 67031989
{'hecke_orbit_code': 112589990717826237, 'n': 1, 'trace_an': 6}
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id: 67031990
{'hecke_orbit_code': 112589990717826237, 'n': 2, 'trace_an': 2}
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id: 67031991
{'hecke_orbit_code': 112589990717826237, 'n': 3, 'trace_an': 0}
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id: 67031992
{'hecke_orbit_code': 112589990717826237, 'n': 4, 'trace_an': 4}
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id: 67031993
{'hecke_orbit_code': 112589990717826237, 'n': 5, 'trace_an': 6}
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id: 67031994
{'hecke_orbit_code': 112589990717826237, 'n': 6, 'trace_an': 0}
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id: 67031995
{'hecke_orbit_code': 112589990717826237, 'n': 7, 'trace_an': 5}
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id: 67031996
{'hecke_orbit_code': 112589990717826237, 'n': 8, 'trace_an': 12}
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id: 67031997
{'hecke_orbit_code': 112589990717826237, 'n': 9, 'trace_an': 0}
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id: 67031998
{'hecke_orbit_code': 112589990717826237, 'n': 10, 'trace_an': 2}
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id: 67031999
{'hecke_orbit_code': 112589990717826237, 'n': 11, 'trace_an': 6}
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id: 67032000
{'hecke_orbit_code': 112589990717826237, 'n': 12, 'trace_an': 0}
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id: 67032001
{'hecke_orbit_code': 112589990717826237, 'n': 13, 'trace_an': -5}
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id: 67032002
{'hecke_orbit_code': 112589990717826237, 'n': 14, 'trace_an': 8}
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id: 67032003
{'hecke_orbit_code': 112589990717826237, 'n': 15, 'trace_an': 0}
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id: 67032004
{'hecke_orbit_code': 112589990717826237, 'n': 16, 'trace_an': 4}
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id: 67032005
{'hecke_orbit_code': 112589990717826237, 'n': 17, 'trace_an': -1}
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id: 67032006
{'hecke_orbit_code': 112589990717826237, 'n': 18, 'trace_an': 0}
-
id: 67032007
{'hecke_orbit_code': 112589990717826237, 'n': 19, 'trace_an': -6}
-
id: 67032008
{'hecke_orbit_code': 112589990717826237, 'n': 20, 'trace_an': 4}
-
id: 67032009
{'hecke_orbit_code': 112589990717826237, 'n': 21, 'trace_an': 0}
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id: 67032010
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