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mf_newforms • Show schema
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{'Nk2': 158840, 'analytic_conductor': 317.0859464265044, 'atkin_lehner_eigenvals': [[2, 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': [39710, 1, [23827, 21661, 14081], [5, 5, 5]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 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': -1, 'hecke_orbit': 5, 'hecke_orbit_code': 18014398543076126, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': -1, 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'label': '39710.2.a.e', 'level': 39710, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 11, 19], 'level_radical': 2090, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}-q^{5}-2q^{7}-q^{8}-3q^{9}+\\cdots', 'related_objects': ['EllipticCurve/Q/39710/e'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '39710.2.a', 'trace_display': [-1, 0, -1, -2], 'traces': [1, -1, 0, 1, -1, 0, -2, -1, -3, 1, -1, 0, -3, 2, 0, 1, 0, 3, 0, -1, 0, 1, 0, 0, 1, 3, 0, -2, 1, 0, -4, -1, 0, 0, 2, -3, 0, 0, 0, 1, -12, 0, 1, -1, 3, 0, -1, 0, -3, -1, 0, -3, 0, 0, 1, 2, 0, -1, 12, 0, -11, 4, 6, 1, 3, 0, 14, 0, 0, -2, 7, 3, -12, 0, 0, 0, 2, 0, -10, -1, 9, 12, 3, 0, 0, -1, 0, 1, 9, -3, 6, 0, 0, 1, 0, 0, -17, 3, 3, 1], 'weight': 2, 'weight_parity': 1}
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label 39710.2.a.e does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [64, 78, 72, 69, 81, 60, 65, 78, 72, 69, 64, 78, 65, 78, 81, 60], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], 'ALdims_old': [332, 370, 373, 332, 354, 352, 350, 351, 343, 363, 371, 331, 350, 350, 344, 361], 'Nk2': 158840, 'analytic_conductor': 317.0859464265044, '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': [39710, 1, [23827, 21661, 14081], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 6761, 'dim': 1134, 'eis_dim': 159, 'eis_new_dim': 0, 'hecke_orbit_code': 33594142, '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, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 12, 12, 12, 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132, 0], 'weight': 2, 'weight_parity': 1}
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source_label 39710.2.a.e does not appear in mf_twists_nf
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hecke_orbit_code 18014398543076126 does not appear in mf_hecke_charpolys
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label 39710.2.a.e does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 131952042
{'hecke_orbit_code': 18014398543076126, 'n': 1, 'trace_an': 1}
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id: 131952043
{'hecke_orbit_code': 18014398543076126, 'n': 2, 'trace_an': -1}
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id: 131952044
{'hecke_orbit_code': 18014398543076126, 'n': 3, 'trace_an': 0}
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id: 131952045
{'hecke_orbit_code': 18014398543076126, 'n': 4, 'trace_an': 1}
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id: 131952046
{'hecke_orbit_code': 18014398543076126, 'n': 5, 'trace_an': -1}
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id: 131952047
{'hecke_orbit_code': 18014398543076126, 'n': 6, 'trace_an': 0}
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id: 131952048
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id: 131952049
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id: 131952050
{'hecke_orbit_code': 18014398543076126, 'n': 9, 'trace_an': -3}
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id: 131952051
{'hecke_orbit_code': 18014398543076126, 'n': 10, 'trace_an': 1}
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id: 131952052
{'hecke_orbit_code': 18014398543076126, 'n': 11, 'trace_an': -1}
-
id: 131952053
{'hecke_orbit_code': 18014398543076126, 'n': 12, 'trace_an': 0}
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id: 131952054
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id: 131952055
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id: 131952056
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-
id: 131952057
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id: 131952058
{'hecke_orbit_code': 18014398543076126, 'n': 17, 'trace_an': 0}
-
id: 131952059
{'hecke_orbit_code': 18014398543076126, 'n': 18, 'trace_an': 3}
-
id: 131952060
{'hecke_orbit_code': 18014398543076126, 'n': 19, 'trace_an': 0}
-
id: 131952061
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id: 131952062
{'hecke_orbit_code': 18014398543076126, 'n': 21, 'trace_an': 0}
-
id: 131952063
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-
id: 131952064
{'hecke_orbit_code': 18014398543076126, 'n': 23, 'trace_an': 0}
-
id: 131952065
{'hecke_orbit_code': 18014398543076126, 'n': 24, 'trace_an': 0}
-
id: 131952066
{'hecke_orbit_code': 18014398543076126, 'n': 25, 'trace_an': 1}
-
id: 131952067
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-
id: 131952068
{'hecke_orbit_code': 18014398543076126, 'n': 27, 'trace_an': 0}
-
id: 131952069
{'hecke_orbit_code': 18014398543076126, 'n': 28, 'trace_an': -2}
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id: 131952070
{'hecke_orbit_code': 18014398543076126, 'n': 29, 'trace_an': 1}
-
id: 131952071
{'hecke_orbit_code': 18014398543076126, 'n': 30, 'trace_an': 0}
-
id: 131952072
{'hecke_orbit_code': 18014398543076126, 'n': 31, 'trace_an': -4}
-
id: 131952073
{'hecke_orbit_code': 18014398543076126, 'n': 32, 'trace_an': -1}
-
id: 131952074
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-
id: 131952075
{'hecke_orbit_code': 18014398543076126, 'n': 34, 'trace_an': 0}
-
id: 131952076
{'hecke_orbit_code': 18014398543076126, 'n': 35, 'trace_an': 2}
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id: 131952077
{'hecke_orbit_code': 18014398543076126, 'n': 36, 'trace_an': -3}
-
id: 131952078
{'hecke_orbit_code': 18014398543076126, 'n': 37, 'trace_an': 0}
-
id: 131952079
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-
id: 131952080
{'hecke_orbit_code': 18014398543076126, 'n': 39, 'trace_an': 0}
-
id: 131952081
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-
id: 131952082
{'hecke_orbit_code': 18014398543076126, 'n': 41, 'trace_an': -12}
-
id: 131952083
{'hecke_orbit_code': 18014398543076126, 'n': 42, 'trace_an': 0}
-
id: 131952084
{'hecke_orbit_code': 18014398543076126, 'n': 43, 'trace_an': 1}
-
id: 131952085
{'hecke_orbit_code': 18014398543076126, 'n': 44, 'trace_an': -1}
-
id: 131952086
{'hecke_orbit_code': 18014398543076126, 'n': 45, 'trace_an': 3}
-
id: 131952087
{'hecke_orbit_code': 18014398543076126, 'n': 46, 'trace_an': 0}
-
id: 131952088
{'hecke_orbit_code': 18014398543076126, 'n': 47, 'trace_an': -1}
-
id: 131952089
{'hecke_orbit_code': 18014398543076126, 'n': 48, 'trace_an': 0}
-
id: 131952090
{'hecke_orbit_code': 18014398543076126, 'n': 49, 'trace_an': -3}
-
id: 131952091
{'hecke_orbit_code': 18014398543076126, 'n': 50, 'trace_an': -1}
-
id: 131952092
{'hecke_orbit_code': 18014398543076126, 'n': 51, 'trace_an': 0}
-
id: 131952093
{'hecke_orbit_code': 18014398543076126, 'n': 52, 'trace_an': -3}
-
id: 131952094
{'hecke_orbit_code': 18014398543076126, 'n': 53, 'trace_an': 0}
-
id: 131952095
{'hecke_orbit_code': 18014398543076126, 'n': 54, 'trace_an': 0}
-
id: 131952096
{'hecke_orbit_code': 18014398543076126, 'n': 55, 'trace_an': 1}
-
id: 131952097
{'hecke_orbit_code': 18014398543076126, 'n': 56, 'trace_an': 2}
-
id: 131952098
{'hecke_orbit_code': 18014398543076126, 'n': 57, 'trace_an': 0}
-
id: 131952099
{'hecke_orbit_code': 18014398543076126, 'n': 58, 'trace_an': -1}
-
id: 131952100
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-
id: 131952101
{'hecke_orbit_code': 18014398543076126, 'n': 60, 'trace_an': 0}
-
id: 131952102
{'hecke_orbit_code': 18014398543076126, 'n': 61, 'trace_an': -11}
-
id: 131952103
{'hecke_orbit_code': 18014398543076126, 'n': 62, 'trace_an': 4}
-
id: 131952104
{'hecke_orbit_code': 18014398543076126, 'n': 63, 'trace_an': 6}
-
id: 131952105
{'hecke_orbit_code': 18014398543076126, 'n': 64, 'trace_an': 1}
-
id: 131952106
{'hecke_orbit_code': 18014398543076126, 'n': 65, 'trace_an': 3}
-
id: 131952107
{'hecke_orbit_code': 18014398543076126, 'n': 66, 'trace_an': 0}
-
id: 131952108
{'hecke_orbit_code': 18014398543076126, 'n': 67, 'trace_an': 14}
-
id: 131952109
{'hecke_orbit_code': 18014398543076126, 'n': 68, 'trace_an': 0}
-
id: 131952110
{'hecke_orbit_code': 18014398543076126, 'n': 69, 'trace_an': 0}
-
id: 131952111
{'hecke_orbit_code': 18014398543076126, 'n': 70, 'trace_an': -2}
-
id: 131952112
{'hecke_orbit_code': 18014398543076126, 'n': 71, 'trace_an': 7}
-
id: 131952113
{'hecke_orbit_code': 18014398543076126, 'n': 72, 'trace_an': 3}
-
id: 131952114
{'hecke_orbit_code': 18014398543076126, 'n': 73, 'trace_an': -12}
-
id: 131952115
{'hecke_orbit_code': 18014398543076126, 'n': 74, 'trace_an': 0}
-
id: 131952116
{'hecke_orbit_code': 18014398543076126, 'n': 75, 'trace_an': 0}
-
id: 131952117
{'hecke_orbit_code': 18014398543076126, 'n': 76, 'trace_an': 0}
-
id: 131952118
{'hecke_orbit_code': 18014398543076126, 'n': 77, 'trace_an': 2}
-
id: 131952119
{'hecke_orbit_code': 18014398543076126, 'n': 78, 'trace_an': 0}
-
id: 131952120
{'hecke_orbit_code': 18014398543076126, 'n': 79, 'trace_an': -10}
-
id: 131952121
{'hecke_orbit_code': 18014398543076126, 'n': 80, 'trace_an': -1}
-
id: 131952122
{'hecke_orbit_code': 18014398543076126, 'n': 81, 'trace_an': 9}
-
id: 131952123
{'hecke_orbit_code': 18014398543076126, 'n': 82, 'trace_an': 12}
-
id: 131952124
{'hecke_orbit_code': 18014398543076126, 'n': 83, 'trace_an': 3}
-
id: 131952125
{'hecke_orbit_code': 18014398543076126, 'n': 84, 'trace_an': 0}
-
id: 131952126
{'hecke_orbit_code': 18014398543076126, 'n': 85, 'trace_an': 0}
-
id: 131952127
{'hecke_orbit_code': 18014398543076126, 'n': 86, 'trace_an': -1}
-
id: 131952128
{'hecke_orbit_code': 18014398543076126, 'n': 87, 'trace_an': 0}
-
id: 131952129
{'hecke_orbit_code': 18014398543076126, 'n': 88, 'trace_an': 1}
-
id: 131952130
{'hecke_orbit_code': 18014398543076126, 'n': 89, 'trace_an': 9}
-
id: 131952131
{'hecke_orbit_code': 18014398543076126, 'n': 90, 'trace_an': -3}
-
id: 131952132
{'hecke_orbit_code': 18014398543076126, 'n': 91, 'trace_an': 6}
-
id: 131952133
{'hecke_orbit_code': 18014398543076126, 'n': 92, 'trace_an': 0}
-
id: 131952134
{'hecke_orbit_code': 18014398543076126, 'n': 93, 'trace_an': 0}
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id: 131952135
{'hecke_orbit_code': 18014398543076126, 'n': 94, 'trace_an': 1}
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id: 131952136
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id: 131952137
{'hecke_orbit_code': 18014398543076126, 'n': 96, 'trace_an': 0}
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id: 131952139
{'hecke_orbit_code': 18014398543076126, 'n': 98, 'trace_an': 3}
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id: 131952140
{'hecke_orbit_code': 18014398543076126, 'n': 99, 'trace_an': 3}
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