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mf_newforms • Show schema
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{'Nk2': 111540, 'analytic_conductor': 222.66284603634034, 'atkin_lehner_eigenvals': [[3, -1], [5, -1], [11, -1], [13, 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': [27885, 1, [9296, 16732, 22816, 6931], [107, 107, 107, 107]], 'cm_discs': [], 'conrey_index': 1, 'dim': 36, 'fricke_eigenval': -1, 'has_non_self_twist': -1, 'hecke_orbit': 107, 'hecke_orbit_code': 477381560534854893, 'inner_twist_count': -1, 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'label': '27885.2.a.ec', 'level': 27885, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 11, 13], 'level_radical': 2145, 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 36, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '27885.2.a', 'trace_display': [3, 36, 36, 20], 'traces': [36, 3, 36, 45, 36, 3, 20, 9, 36, 3, 36, 45, 0, 18, 36, 55, 6, 3, 40, 45, 20, 3, 26, 9, 36, 0, 36, 58, 5, 3, 34, 26, 36, 38, 20, 45, 46, 24, 0, 9, -1, 18, -12, 45, 36, 46, 22, 55, 68, 3, 6, 0, 31, 3, 36, 20, 40, 27, 46, 45, 2, 3, 20, 35, 0, 3, 79, -25, 26, 18, 28, 9, 76, -18, 36, 68, 20, 0, 22, 55, 36, -54, 34, 58, 6, 30, 5, 9, 34, 3, 0, 42, 34, -27, 40, 26, 92, 0, 36, 45], 'weight': 2, 'weight_parity': 1}
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label 27885.2.a.ec does not appear in mf_hecke_nf
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mf_newspaces • Show schema
Hide schema
{'ALdims': [72, 58, 60, 70, 60, 70, 58, 70, 66, 60, 58, 72, 58, 72, 80, 48], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], 'ALdims_old': [188, 221, 220, 190, 206, 204, 215, 195, 200, 214, 215, 193, 201, 207, 200, 212], 'Nk2': 111540, 'analytic_conductor': 222.66284603634034, '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': [27885, 1, [9296, 16732, 22816, 6931], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 4313, 'dim': 1032, 'eis_dim': 111, 'eis_new_dim': 0, 'hecke_orbit_code': 33582317, '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, 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, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 13, 13, 14, 14, 14, 14, 15, 15, 15, 15, 22, 22, 24, 24, 24, 24, 24, 24, 26, 26, 28, 28, 30, 30, 30, 30, 30, 30, 33, 33, 36, 36], 'label': '27885.2.a', 'level': 27885, '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, 13], 'level_radical': 2145, 'mf_dim': 4424, 'mf_new_dim': 1032, 'num_forms': 107, 'plus_dim': 494, 'prim_orbit_index': 1, 'relative_dim': 1032, 'sturm_bound': 8736, 'trace_display': [0, -4, 0, -8], 'traces': [1032, 0, -4, 1032, 0, 4, -8, 0, 1032, 4, 0, -12, 0, -8, 4, 1024, 8, 0, 8, -8, -16, -4, 0, 12, 1032, 0, -4, -64, 16, 0, 0, -40, 4, 8, 8, 1032, 0, -32, 0, 12, 32, 0, -24, -8, 0, -32, 16, -28, 1016, 0, -8, 0, 32, 4, -8, -8, -40, 48, 16, 12, 0, 40, -8, 968, 0, 0, 16, 0, 32, 0, 32, 0, 0, -48, -4, 56, 8, 0, -8, -48, 1032, -112, 24, -40, 24, 8, -8, -12, -32, 4, 0, -112, -16, -80, 0, 28, 0, -56, 0, 1032, 32, 24, -16, 0, 0, 56, -72, -12, 16, 0, 8, -152, 32, 0, 16, 48, 0, 24, -32, 0, 1032, 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12], 'weight': 2, 'weight_parity': 1}
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source_label 27885.2.a.ec does not appear in mf_twists_nf
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hecke_orbit_code 477381560534854893 does not appear in mf_hecke_charpolys
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label 27885.2.a.ec does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 181994242
{'hecke_orbit_code': 477381560534854893, 'n': 1, 'trace_an': 36}
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id: 181994243
{'hecke_orbit_code': 477381560534854893, 'n': 2, 'trace_an': 3}
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id: 181994244
{'hecke_orbit_code': 477381560534854893, 'n': 3, 'trace_an': 36}
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id: 181994245
{'hecke_orbit_code': 477381560534854893, 'n': 4, 'trace_an': 45}
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id: 181994246
{'hecke_orbit_code': 477381560534854893, 'n': 5, 'trace_an': 36}
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id: 181994247
{'hecke_orbit_code': 477381560534854893, 'n': 6, 'trace_an': 3}
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id: 181994248
{'hecke_orbit_code': 477381560534854893, 'n': 7, 'trace_an': 20}
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id: 181994249
{'hecke_orbit_code': 477381560534854893, 'n': 8, 'trace_an': 9}
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id: 181994250
{'hecke_orbit_code': 477381560534854893, 'n': 9, 'trace_an': 36}
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id: 181994251
{'hecke_orbit_code': 477381560534854893, 'n': 10, 'trace_an': 3}
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id: 181994252
{'hecke_orbit_code': 477381560534854893, 'n': 11, 'trace_an': 36}
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id: 181994253
{'hecke_orbit_code': 477381560534854893, 'n': 12, 'trace_an': 45}
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id: 181994254
{'hecke_orbit_code': 477381560534854893, 'n': 13, 'trace_an': 0}
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id: 181994255
{'hecke_orbit_code': 477381560534854893, 'n': 14, 'trace_an': 18}
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id: 181994256
{'hecke_orbit_code': 477381560534854893, 'n': 15, 'trace_an': 36}
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id: 181994257
{'hecke_orbit_code': 477381560534854893, 'n': 16, 'trace_an': 55}
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id: 181994258
{'hecke_orbit_code': 477381560534854893, 'n': 17, 'trace_an': 6}
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id: 181994259
{'hecke_orbit_code': 477381560534854893, 'n': 18, 'trace_an': 3}
-
id: 181994260
{'hecke_orbit_code': 477381560534854893, 'n': 19, 'trace_an': 40}
-
id: 181994261
{'hecke_orbit_code': 477381560534854893, 'n': 20, 'trace_an': 45}
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id: 181994262
{'hecke_orbit_code': 477381560534854893, 'n': 21, 'trace_an': 20}
-
id: 181994263
{'hecke_orbit_code': 477381560534854893, 'n': 22, 'trace_an': 3}
-
id: 181994264
{'hecke_orbit_code': 477381560534854893, 'n': 23, 'trace_an': 26}
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id: 181994265
{'hecke_orbit_code': 477381560534854893, 'n': 24, 'trace_an': 9}
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id: 181994266
{'hecke_orbit_code': 477381560534854893, 'n': 25, 'trace_an': 36}
-
id: 181994267
{'hecke_orbit_code': 477381560534854893, 'n': 26, 'trace_an': 0}
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id: 181994268
{'hecke_orbit_code': 477381560534854893, 'n': 27, 'trace_an': 36}
-
id: 181994269
{'hecke_orbit_code': 477381560534854893, 'n': 28, 'trace_an': 58}
-
id: 181994270
{'hecke_orbit_code': 477381560534854893, 'n': 29, 'trace_an': 5}
-
id: 181994271
{'hecke_orbit_code': 477381560534854893, 'n': 30, 'trace_an': 3}
-
id: 181994272
{'hecke_orbit_code': 477381560534854893, 'n': 31, 'trace_an': 34}
-
id: 181994273
{'hecke_orbit_code': 477381560534854893, 'n': 32, 'trace_an': 26}
-
id: 181994274
{'hecke_orbit_code': 477381560534854893, 'n': 33, 'trace_an': 36}
-
id: 181994275
{'hecke_orbit_code': 477381560534854893, 'n': 34, 'trace_an': 38}
-
id: 181994276
{'hecke_orbit_code': 477381560534854893, 'n': 35, 'trace_an': 20}
-
id: 181994277
{'hecke_orbit_code': 477381560534854893, 'n': 36, 'trace_an': 45}
-
id: 181994278
{'hecke_orbit_code': 477381560534854893, 'n': 37, 'trace_an': 46}
-
id: 181994279
{'hecke_orbit_code': 477381560534854893, 'n': 38, 'trace_an': 24}
-
id: 181994280
{'hecke_orbit_code': 477381560534854893, 'n': 39, 'trace_an': 0}
-
id: 181994281
{'hecke_orbit_code': 477381560534854893, 'n': 40, 'trace_an': 9}
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id: 181994282
{'hecke_orbit_code': 477381560534854893, 'n': 41, 'trace_an': -1}
-
id: 181994283
{'hecke_orbit_code': 477381560534854893, 'n': 42, 'trace_an': 18}
-
id: 181994284
{'hecke_orbit_code': 477381560534854893, 'n': 43, 'trace_an': -12}
-
id: 181994285
{'hecke_orbit_code': 477381560534854893, 'n': 44, 'trace_an': 45}
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id: 181994286
{'hecke_orbit_code': 477381560534854893, 'n': 45, 'trace_an': 36}
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id: 181994287
{'hecke_orbit_code': 477381560534854893, 'n': 46, 'trace_an': 46}
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id: 181994288
{'hecke_orbit_code': 477381560534854893, 'n': 47, 'trace_an': 22}
-
id: 181994289
{'hecke_orbit_code': 477381560534854893, 'n': 48, 'trace_an': 55}
-
id: 181994290
{'hecke_orbit_code': 477381560534854893, 'n': 49, 'trace_an': 68}
-
id: 181994291
{'hecke_orbit_code': 477381560534854893, 'n': 50, 'trace_an': 3}
-
id: 181994292
{'hecke_orbit_code': 477381560534854893, 'n': 51, 'trace_an': 6}
-
id: 181994293
{'hecke_orbit_code': 477381560534854893, 'n': 52, 'trace_an': 0}
-
id: 181994294
{'hecke_orbit_code': 477381560534854893, 'n': 53, 'trace_an': 31}
-
id: 181994295
{'hecke_orbit_code': 477381560534854893, 'n': 54, 'trace_an': 3}
-
id: 181994296
{'hecke_orbit_code': 477381560534854893, 'n': 55, 'trace_an': 36}
-
id: 181994297
{'hecke_orbit_code': 477381560534854893, 'n': 56, 'trace_an': 20}
-
id: 181994298
{'hecke_orbit_code': 477381560534854893, 'n': 57, 'trace_an': 40}
-
id: 181994299
{'hecke_orbit_code': 477381560534854893, 'n': 58, 'trace_an': 27}
-
id: 181994300
{'hecke_orbit_code': 477381560534854893, 'n': 59, 'trace_an': 46}
-
id: 181994301
{'hecke_orbit_code': 477381560534854893, 'n': 60, 'trace_an': 45}
-
id: 181994302
{'hecke_orbit_code': 477381560534854893, 'n': 61, 'trace_an': 2}
-
id: 181994303
{'hecke_orbit_code': 477381560534854893, 'n': 62, 'trace_an': 3}
-
id: 181994304
{'hecke_orbit_code': 477381560534854893, 'n': 63, 'trace_an': 20}
-
id: 181994305
{'hecke_orbit_code': 477381560534854893, 'n': 64, 'trace_an': 35}
-
id: 181994306
{'hecke_orbit_code': 477381560534854893, 'n': 65, 'trace_an': 0}
-
id: 181994307
{'hecke_orbit_code': 477381560534854893, 'n': 66, 'trace_an': 3}
-
id: 181994308
{'hecke_orbit_code': 477381560534854893, 'n': 67, 'trace_an': 79}
-
id: 181994309
{'hecke_orbit_code': 477381560534854893, 'n': 68, 'trace_an': -25}
-
id: 181994310
{'hecke_orbit_code': 477381560534854893, 'n': 69, 'trace_an': 26}
-
id: 181994311
{'hecke_orbit_code': 477381560534854893, 'n': 70, 'trace_an': 18}
-
id: 181994312
{'hecke_orbit_code': 477381560534854893, 'n': 71, 'trace_an': 28}
-
id: 181994313
{'hecke_orbit_code': 477381560534854893, 'n': 72, 'trace_an': 9}
-
id: 181994314
{'hecke_orbit_code': 477381560534854893, 'n': 73, 'trace_an': 76}
-
id: 181994315
{'hecke_orbit_code': 477381560534854893, 'n': 74, 'trace_an': -18}
-
id: 181994316
{'hecke_orbit_code': 477381560534854893, 'n': 75, 'trace_an': 36}
-
id: 181994317
{'hecke_orbit_code': 477381560534854893, 'n': 76, 'trace_an': 68}
-
id: 181994318
{'hecke_orbit_code': 477381560534854893, 'n': 77, 'trace_an': 20}
-
id: 181994319
{'hecke_orbit_code': 477381560534854893, 'n': 78, 'trace_an': 0}
-
id: 181994320
{'hecke_orbit_code': 477381560534854893, 'n': 79, 'trace_an': 22}
-
id: 181994321
{'hecke_orbit_code': 477381560534854893, 'n': 80, 'trace_an': 55}
-
id: 181994322
{'hecke_orbit_code': 477381560534854893, 'n': 81, 'trace_an': 36}
-
id: 181994323
{'hecke_orbit_code': 477381560534854893, 'n': 82, 'trace_an': -54}
-
id: 181994324
{'hecke_orbit_code': 477381560534854893, 'n': 83, 'trace_an': 34}
-
id: 181994325
{'hecke_orbit_code': 477381560534854893, 'n': 84, 'trace_an': 58}
-
id: 181994326
{'hecke_orbit_code': 477381560534854893, 'n': 85, 'trace_an': 6}
-
id: 181994327
{'hecke_orbit_code': 477381560534854893, 'n': 86, 'trace_an': 30}
-
id: 181994328
{'hecke_orbit_code': 477381560534854893, 'n': 87, 'trace_an': 5}
-
id: 181994329
{'hecke_orbit_code': 477381560534854893, 'n': 88, 'trace_an': 9}
-
id: 181994330
{'hecke_orbit_code': 477381560534854893, 'n': 89, 'trace_an': 34}
-
id: 181994331
{'hecke_orbit_code': 477381560534854893, 'n': 90, 'trace_an': 3}
-
id: 181994332
{'hecke_orbit_code': 477381560534854893, 'n': 91, 'trace_an': 0}
-
id: 181994333
{'hecke_orbit_code': 477381560534854893, 'n': 92, 'trace_an': 42}
-
id: 181994334
{'hecke_orbit_code': 477381560534854893, 'n': 93, 'trace_an': 34}
-
id: 181994335
{'hecke_orbit_code': 477381560534854893, 'n': 94, 'trace_an': -27}
-
id: 181994336
{'hecke_orbit_code': 477381560534854893, 'n': 95, 'trace_an': 40}
-
id: 181994337
{'hecke_orbit_code': 477381560534854893, 'n': 96, 'trace_an': 26}
-
id: 181994338
{'hecke_orbit_code': 477381560534854893, 'n': 97, 'trace_an': 92}
-
id: 181994339
{'hecke_orbit_code': 477381560534854893, 'n': 98, 'trace_an': 0}
-
id: 181994340
{'hecke_orbit_code': 477381560534854893, 'n': 99, 'trace_an': 36}
-
id: 181994341
{'hecke_orbit_code': 477381560534854893, 'n': 100, 'trace_an': 45}