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mf_newforms • Show schema
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{'Nk2': 49928, 'analytic_conductor': 99.66927180296217, 'atkin_lehner_eigenvals': [[2, 1], [79, 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': [12482, 1, [3], [14]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 2, 'field_disc_factorization': [[2, 1]], 'field_poly': [-3, -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': -1, 'hecke_orbit': 14, 'hecke_orbit_code': 58546795189383362, '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': '12482.2.a.n', 'level': 12482, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 79], 'level_radical': 158, 'nf_label': '2.2.13.1', 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '12482.2.a', 'trace_display': [-2, -1, -3, -5], 'traces': [2, -2, -1, 2, -3, 1, -5, -2, 1, 3, 7, -1, 1, 5, -5, 2, -2, -1, 0, -3, 9, -7, -10, 1, 1, -1, -4, -5, 8, 5, 12, -2, -10, 2, 1, 1, 5, 0, -20, 3, 10, -9, -1, 7, 5, 10, 3, -1, 5, -1, 1, 1, 4, 4, -4, 5, 0, -8, 4, -5, -15, -12, -9, 2, 18, 10, -8, -2, 18, -1, -6, -1, 21, -5, 19, 0, -24, 20, 0, -3, -14, -10, -20, 9, 3, 1, -4, -7, 19, -5, -22, -10, 7, -3, 0, 1, -4, -5, 10, 1], 'weight': 2, 'weight_parity': 1}
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label 12482.2.a.n does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [123, 133, 143, 114], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [39, 40, 40, 40], 'ALdims_old': [238, 257, 237, 256], 'Nk2': 49928, 'analytic_conductor': 99.66927180296217, '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': [12482, 1, [3], [1]], 'conrey_index': 1, 'cusp_dim': 1501, 'dim': 513, 'eis_dim': 159, 'eis_new_dim': 0, 'hecke_orbit_code': 33566914, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 6, 6, 8, 12, 16, 16, 16, 24, 24, 24, 24, 24, 36, 36, 36, 36, 48, 64], 'label': '12482.2.a', 'level': 12482, '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': [2, 79], 'level_radical': 158, 'mf_dim': 1660, 'mf_new_dim': 513, 'num_forms': 46, 'plus_dim': 237, 'prim_orbit_index': 1, 'relative_dim': 513, 'sturm_bound': 3160, 'trace_display': [1, 2, 6, -4], 'traces': [513, 1, 2, 513, 6, 2, -4, 1, 513, 2, 0, 2, 2, 4, -8, 513, -2, -3, 4, 6, -8, 8, 4, 2, 523, 6, 8, -4, -4, 0, 0, 1, 8, -2, 4, 513, 0, -4, -8, 2, 14, -4, 10, 0, 38, 12, 12, 2, 509, -1, 40, 2, 4, 8, -12, 4, -32, -4, -10, -8, -20, 0, -8, 513, -24, 0, -16, -2, -24, -28, 36, -3, -14, 16, 2, 4, 0, -32, 0, 6, 537, -2, -52, -8, 20, -22, 32, 8, 14, 6, -44, 4, -8, -12, -12, 2, -26, 17, 12, 523, 2, 0, -28, 6, 20, 28, -6, 8, -8, -20, -36, -4, -6, 32, 32, -4, 10, -26, -20, 0, 557, -28, 8, 0, -36, 56, 4, 1, -24, 4, 24, 8, -16, 0, -20, -2, 54, 0, -26, 4, 32, -20, 28, 513, 40, 26, 30, 0, -4, 18, 12, -4, -58, -24, -20, -8, 24, 0, -16, 2, 8, -23, -4, 14, 0, 12, -76, -4, 451, 12, -24, 10, -32, -56, 24, 0, -28, 18, -40, 38, 46, 20, 44, 12, -24, -80, 24, 12, -48, 12, 72, 2, 62, -6, -4, 509, -24, 12, 16, -1, -8, -10, 76, 40, 36, -20, -20, 2, 8, 24, -22, 4, -40, 10, -60, 8, 0, -24, -44, -12, -52, -68, 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52, -22, -46, -20, -140, -32, 40, -126, -200, 48, 192, 4, -84, -32, -56, 16, -60, -4, 64, 24, -104, -4, 126, 168, -24, -30, -152, 100, -32, 42, 34, 32, 100, 12, 46, -72, -80, -10, -12, -40, 130, 0, -160, 0, 72, 40, 58, 84, -84, 4, 12, 20, 56, -8, 385, -104, 62, -14, -60, 108, 56, -19, -72, 32, -4, 26, -92, 0, -68, -20, -74, 120, 52, 46, -32, -58, -144, 36, -24, -8, 228, -4, 136, -64, 116, 0, -124, 32, -108, -48, -58, 84, -160, 24], 'weight': 2, 'weight_parity': 1}
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source_label 12482.2.a.n does not appear in mf_twists_nf
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hecke_orbit_code 58546795189383362 does not appear in mf_hecke_charpolys
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label 12482.2.a.n does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 148898142
{'hecke_orbit_code': 58546795189383362, 'n': 1, 'trace_an': 2}
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id: 148898143
{'hecke_orbit_code': 58546795189383362, 'n': 2, 'trace_an': -2}
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id: 148898144
{'hecke_orbit_code': 58546795189383362, 'n': 3, 'trace_an': -1}
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id: 148898145
{'hecke_orbit_code': 58546795189383362, 'n': 4, 'trace_an': 2}
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id: 148898146
{'hecke_orbit_code': 58546795189383362, 'n': 5, 'trace_an': -3}
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id: 148898147
{'hecke_orbit_code': 58546795189383362, 'n': 6, 'trace_an': 1}
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id: 148898148
{'hecke_orbit_code': 58546795189383362, 'n': 7, 'trace_an': -5}
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id: 148898149
{'hecke_orbit_code': 58546795189383362, 'n': 8, 'trace_an': -2}
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id: 148898150
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id: 148898151
{'hecke_orbit_code': 58546795189383362, 'n': 10, 'trace_an': 3}
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id: 148898152
{'hecke_orbit_code': 58546795189383362, 'n': 11, 'trace_an': 7}
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id: 148898153
{'hecke_orbit_code': 58546795189383362, 'n': 12, 'trace_an': -1}
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id: 148898154
{'hecke_orbit_code': 58546795189383362, 'n': 13, 'trace_an': 1}
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id: 148898155
{'hecke_orbit_code': 58546795189383362, 'n': 14, 'trace_an': 5}
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id: 148898156
{'hecke_orbit_code': 58546795189383362, 'n': 15, 'trace_an': -5}
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id: 148898157
{'hecke_orbit_code': 58546795189383362, 'n': 16, 'trace_an': 2}
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id: 148898158
{'hecke_orbit_code': 58546795189383362, 'n': 17, 'trace_an': -2}
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id: 148898159
{'hecke_orbit_code': 58546795189383362, 'n': 18, 'trace_an': -1}
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id: 148898160
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id: 148898161
{'hecke_orbit_code': 58546795189383362, 'n': 20, 'trace_an': -3}
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id: 148898162
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id: 148898163
{'hecke_orbit_code': 58546795189383362, 'n': 22, 'trace_an': -7}
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id: 148898164
{'hecke_orbit_code': 58546795189383362, 'n': 23, 'trace_an': -10}
-
id: 148898165
{'hecke_orbit_code': 58546795189383362, 'n': 24, 'trace_an': 1}
-
id: 148898166
{'hecke_orbit_code': 58546795189383362, 'n': 25, 'trace_an': 1}
-
id: 148898167
{'hecke_orbit_code': 58546795189383362, 'n': 26, 'trace_an': -1}
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id: 148898168
{'hecke_orbit_code': 58546795189383362, 'n': 27, 'trace_an': -4}
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id: 148898169
{'hecke_orbit_code': 58546795189383362, 'n': 28, 'trace_an': -5}
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id: 148898170
{'hecke_orbit_code': 58546795189383362, 'n': 29, 'trace_an': 8}
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id: 148898171
{'hecke_orbit_code': 58546795189383362, 'n': 30, 'trace_an': 5}
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id: 148898172
{'hecke_orbit_code': 58546795189383362, 'n': 31, 'trace_an': 12}
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id: 148898173
{'hecke_orbit_code': 58546795189383362, 'n': 32, 'trace_an': -2}
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id: 148898174
{'hecke_orbit_code': 58546795189383362, 'n': 33, 'trace_an': -10}
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id: 148898175
{'hecke_orbit_code': 58546795189383362, 'n': 34, 'trace_an': 2}
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id: 148898176
{'hecke_orbit_code': 58546795189383362, 'n': 35, 'trace_an': 1}
-
id: 148898177
{'hecke_orbit_code': 58546795189383362, 'n': 36, 'trace_an': 1}
-
id: 148898178
{'hecke_orbit_code': 58546795189383362, 'n': 37, 'trace_an': 5}
-
id: 148898179
{'hecke_orbit_code': 58546795189383362, 'n': 38, 'trace_an': 0}
-
id: 148898180
{'hecke_orbit_code': 58546795189383362, 'n': 39, 'trace_an': -20}
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id: 148898181
{'hecke_orbit_code': 58546795189383362, 'n': 40, 'trace_an': 3}
-
id: 148898182
{'hecke_orbit_code': 58546795189383362, 'n': 41, 'trace_an': 10}
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id: 148898183
{'hecke_orbit_code': 58546795189383362, 'n': 42, 'trace_an': -9}
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id: 148898184
{'hecke_orbit_code': 58546795189383362, 'n': 43, 'trace_an': -1}
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id: 148898185
{'hecke_orbit_code': 58546795189383362, 'n': 44, 'trace_an': 7}
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id: 148898186
{'hecke_orbit_code': 58546795189383362, 'n': 45, 'trace_an': 5}
-
id: 148898187
{'hecke_orbit_code': 58546795189383362, 'n': 46, 'trace_an': 10}
-
id: 148898188
{'hecke_orbit_code': 58546795189383362, 'n': 47, 'trace_an': 3}
-
id: 148898189
{'hecke_orbit_code': 58546795189383362, 'n': 48, 'trace_an': -1}
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id: 148898190
{'hecke_orbit_code': 58546795189383362, 'n': 49, 'trace_an': 5}
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id: 148898191
{'hecke_orbit_code': 58546795189383362, 'n': 50, 'trace_an': -1}
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id: 148898192
{'hecke_orbit_code': 58546795189383362, 'n': 51, 'trace_an': 1}
-
id: 148898193
{'hecke_orbit_code': 58546795189383362, 'n': 52, 'trace_an': 1}
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id: 148898194
{'hecke_orbit_code': 58546795189383362, 'n': 53, 'trace_an': 4}
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id: 148898195
{'hecke_orbit_code': 58546795189383362, 'n': 54, 'trace_an': 4}
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id: 148898196
{'hecke_orbit_code': 58546795189383362, 'n': 55, 'trace_an': -4}
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id: 148898197
{'hecke_orbit_code': 58546795189383362, 'n': 56, 'trace_an': 5}
-
id: 148898198
{'hecke_orbit_code': 58546795189383362, 'n': 57, 'trace_an': 0}
-
id: 148898199
{'hecke_orbit_code': 58546795189383362, 'n': 58, 'trace_an': -8}
-
id: 148898200
{'hecke_orbit_code': 58546795189383362, 'n': 59, 'trace_an': 4}
-
id: 148898201
{'hecke_orbit_code': 58546795189383362, 'n': 60, 'trace_an': -5}
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id: 148898202
{'hecke_orbit_code': 58546795189383362, 'n': 61, 'trace_an': -15}
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id: 148898203
{'hecke_orbit_code': 58546795189383362, 'n': 62, 'trace_an': -12}
-
id: 148898204
{'hecke_orbit_code': 58546795189383362, 'n': 63, 'trace_an': -9}
-
id: 148898205
{'hecke_orbit_code': 58546795189383362, 'n': 64, 'trace_an': 2}
-
id: 148898206
{'hecke_orbit_code': 58546795189383362, 'n': 65, 'trace_an': 18}
-
id: 148898207
{'hecke_orbit_code': 58546795189383362, 'n': 66, 'trace_an': 10}
-
id: 148898208
{'hecke_orbit_code': 58546795189383362, 'n': 67, 'trace_an': -8}
-
id: 148898209
{'hecke_orbit_code': 58546795189383362, 'n': 68, 'trace_an': -2}
-
id: 148898210
{'hecke_orbit_code': 58546795189383362, 'n': 69, 'trace_an': 18}
-
id: 148898211
{'hecke_orbit_code': 58546795189383362, 'n': 70, 'trace_an': -1}
-
id: 148898212
{'hecke_orbit_code': 58546795189383362, 'n': 71, 'trace_an': -6}
-
id: 148898213
{'hecke_orbit_code': 58546795189383362, 'n': 72, 'trace_an': -1}
-
id: 148898214
{'hecke_orbit_code': 58546795189383362, 'n': 73, 'trace_an': 21}
-
id: 148898215
{'hecke_orbit_code': 58546795189383362, 'n': 74, 'trace_an': -5}
-
id: 148898216
{'hecke_orbit_code': 58546795189383362, 'n': 75, 'trace_an': 19}
-
id: 148898217
{'hecke_orbit_code': 58546795189383362, 'n': 76, 'trace_an': 0}
-
id: 148898218
{'hecke_orbit_code': 58546795189383362, 'n': 77, 'trace_an': -24}
-
id: 148898219
{'hecke_orbit_code': 58546795189383362, 'n': 78, 'trace_an': 20}
-
id: 148898220
{'hecke_orbit_code': 58546795189383362, 'n': 79, 'trace_an': 0}
-
id: 148898221
{'hecke_orbit_code': 58546795189383362, 'n': 80, 'trace_an': -3}
-
id: 148898222
{'hecke_orbit_code': 58546795189383362, 'n': 81, 'trace_an': -14}
-
id: 148898223
{'hecke_orbit_code': 58546795189383362, 'n': 82, 'trace_an': -10}
-
id: 148898224
{'hecke_orbit_code': 58546795189383362, 'n': 83, 'trace_an': -20}
-
id: 148898225
{'hecke_orbit_code': 58546795189383362, 'n': 84, 'trace_an': 9}
-
id: 148898226
{'hecke_orbit_code': 58546795189383362, 'n': 85, 'trace_an': 3}
-
id: 148898227
{'hecke_orbit_code': 58546795189383362, 'n': 86, 'trace_an': 1}
-
id: 148898228
{'hecke_orbit_code': 58546795189383362, 'n': 87, 'trace_an': -4}
-
id: 148898229
{'hecke_orbit_code': 58546795189383362, 'n': 88, 'trace_an': -7}
-
id: 148898230
{'hecke_orbit_code': 58546795189383362, 'n': 89, 'trace_an': 19}
-
id: 148898231
{'hecke_orbit_code': 58546795189383362, 'n': 90, 'trace_an': -5}
-
id: 148898232
{'hecke_orbit_code': 58546795189383362, 'n': 91, 'trace_an': -22}
-
id: 148898233
{'hecke_orbit_code': 58546795189383362, 'n': 92, 'trace_an': -10}
-
id: 148898234
{'hecke_orbit_code': 58546795189383362, 'n': 93, 'trace_an': 7}
-
id: 148898235
{'hecke_orbit_code': 58546795189383362, 'n': 94, 'trace_an': -3}
-
id: 148898236
{'hecke_orbit_code': 58546795189383362, 'n': 95, 'trace_an': 0}
-
id: 148898237
{'hecke_orbit_code': 58546795189383362, 'n': 96, 'trace_an': 1}
-
id: 148898238
{'hecke_orbit_code': 58546795189383362, 'n': 97, 'trace_an': -4}
-
id: 148898239
{'hecke_orbit_code': 58546795189383362, 'n': 98, 'trace_an': -5}
-
id: 148898240
{'hecke_orbit_code': 58546795189383362, 'n': 99, 'trace_an': 10}
-
id: 148898241
{'hecke_orbit_code': 58546795189383362, 'n': 100, 'trace_an': 1}