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mf_newforms • Show schema
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{'Nk2': 94680, 'analytic_conductor': 189.00590158437066, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, 1], [263, -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': [23670, 1, [13151, 18937, 13681], [36, 36, 36]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 3, 'field_disc_factorization': [[3, 1]], 'field_poly': [-1, -5, -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': 36, 'hecke_orbit_code': 157625986991545462, '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': '23670.2.a.bj', 'level': 23670, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 263], 'level_radical': 7890, 'nf_label': '3.3.404.1', 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '23670.2.a', 'trace_display': [-3, 0, -3, -5], 'traces': [3, -3, 0, 3, -3, 0, -5, -3, 0, 3, -3, 0, -2, 5, 0, 3, 8, 0, -6, -3, 0, 3, 0, 0, 3, 2, 0, -5, -10, 0, -3, -3, 0, -8, 5, 0, -12, 6, 0, 3, 28, 0, 2, -3, 0, 0, -13, 0, -2, -3, 0, -2, 5, 0, 3, 5, 0, 10, 10, 0, -15, 3, 0, 3, 2, 0, 20, 8, 0, -5, 12, 0, 15, 12, 0, -6, 5, 0, -24, -3, 0, -28, 16, 0, -8, -2, 0, 3, 11, 0, 14, 0, 0, 13, 6, 0, -2, 2, 0, 3], 'weight': 2, 'weight_parity': 1}
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label 23670.2.a.bj does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [23, 20, 20, 23, 36, 30, 30, 36, 23, 20, 20, 23, 28, 37, 37, 28], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'ALdims_old': [258, 290, 286, 265, 268, 259, 264, 261, 279, 270, 276, 273, 269, 257, 252, 276], 'Nk2': 94680, 'analytic_conductor': 189.00590158437066, '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': [23670, 1, [13151, 18937, 13681], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 4737, 'dim': 434, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_orbit_code': 33578102, 'hecke_orbit_dims': [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, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 7, 7, 9, 10, 10, 11, 11, 11, 13, 13, 13, 14, 14, 14, 15, 16, 20, 20, 21, 21, 23, 23], 'label': '23670.2.a', 'level': 23670, '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, 3, 5, 263], 'level_radical': 7890, 'mf_dim': 4768, 'mf_new_dim': 434, 'num_forms': 74, 'plus_dim': 202, 'prim_orbit_index': 1, 'relative_dim': 434, 'sturm_bound': 9504, 'trace_display': [-2, 0, 0, 0], 'traces': [434, -2, 0, 434, 0, 0, 0, -2, 0, 0, -4, 0, 12, 8, 0, 434, 4, 0, 12, 0, 0, 24, -8, 0, 434, -8, 0, 0, 0, 0, 16, -2, 0, -4, -4, 0, -28, 20, 0, 0, -12, 0, 0, -4, 0, 8, 32, 0, 426, -2, 0, 12, -8, 0, 0, 8, 0, -8, 28, 0, 40, 0, 0, 434, 0, 0, 28, 4, 0, 4, -48, 0, 28, 8, 0, 12, 16, 0, 24, 0, 0, -20, 16, 0, 24, 20, 0, 24, 68, 0, 32, -8, 0, -24, 24, 0, -28, -66, 0, 434, 32, 0, 8, -8, 0, -24, -20, 0, -32, 0, 0, 0, 28, 0, -8, 0, 0, -4, -56, 0, 438, -12, 0, 16, 0, 0, -72, -2, 0, -16, -28, 0, -24, -4, 0, -4, -28, 0, -76, -4, 0, -40, -64, 0, 24, -20, 0, -28, 8, 0, 24, 20, 0, 0, -16, 0, 28, 8, 0, 0, -64, 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0, 464, 16, 0, -52, -88, 0, -28, 128, 0, -8, 320, 0, -44, -12, 0, -28, -32, 0, 108, 16, 0, 12, 224, 0, 240, 28, 0, 256, 164, 0, -8, 20, 0, -40, -36, 0, 64, 48, 0, 200, 312, 0, 562, 280, 0, -28, 20, 0, 88, -90, 0, -12, 140, 0, 24, 88, 0, 40, -108, 0, 156, 48, 0, 108, 112, 0, 96, 176, 0, -200, 424, 0, -392, 0, 0, 104, -24, 0, -60, 92, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 23670.2.a.bj does not appear in mf_twists_nf
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hecke_orbit_code 157625986991545462 does not appear in mf_hecke_charpolys
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label 23670.2.a.bj does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 167598242
{'hecke_orbit_code': 157625986991545462, 'n': 1, 'trace_an': 3}
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id: 167598243
{'hecke_orbit_code': 157625986991545462, 'n': 2, 'trace_an': -3}
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id: 167598244
{'hecke_orbit_code': 157625986991545462, 'n': 3, 'trace_an': 0}
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id: 167598245
{'hecke_orbit_code': 157625986991545462, 'n': 4, 'trace_an': 3}
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id: 167598246
{'hecke_orbit_code': 157625986991545462, 'n': 5, 'trace_an': -3}
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id: 167598247
{'hecke_orbit_code': 157625986991545462, 'n': 6, 'trace_an': 0}
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id: 167598248
{'hecke_orbit_code': 157625986991545462, 'n': 7, 'trace_an': -5}
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id: 167598249
{'hecke_orbit_code': 157625986991545462, 'n': 8, 'trace_an': -3}
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id: 167598250
{'hecke_orbit_code': 157625986991545462, 'n': 9, 'trace_an': 0}
-
id: 167598251
{'hecke_orbit_code': 157625986991545462, 'n': 10, 'trace_an': 3}
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id: 167598252
{'hecke_orbit_code': 157625986991545462, 'n': 11, 'trace_an': -3}
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id: 167598253
{'hecke_orbit_code': 157625986991545462, 'n': 12, 'trace_an': 0}
-
id: 167598254
{'hecke_orbit_code': 157625986991545462, 'n': 13, 'trace_an': -2}
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id: 167598255
{'hecke_orbit_code': 157625986991545462, 'n': 14, 'trace_an': 5}
-
id: 167598256
{'hecke_orbit_code': 157625986991545462, 'n': 15, 'trace_an': 0}
-
id: 167598257
{'hecke_orbit_code': 157625986991545462, 'n': 16, 'trace_an': 3}
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id: 167598258
{'hecke_orbit_code': 157625986991545462, 'n': 17, 'trace_an': 8}
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id: 167598259
{'hecke_orbit_code': 157625986991545462, 'n': 18, 'trace_an': 0}
-
id: 167598260
{'hecke_orbit_code': 157625986991545462, 'n': 19, 'trace_an': -6}
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id: 167598261
{'hecke_orbit_code': 157625986991545462, 'n': 20, 'trace_an': -3}
-
id: 167598262
{'hecke_orbit_code': 157625986991545462, 'n': 21, 'trace_an': 0}
-
id: 167598263
{'hecke_orbit_code': 157625986991545462, 'n': 22, 'trace_an': 3}
-
id: 167598264
{'hecke_orbit_code': 157625986991545462, 'n': 23, 'trace_an': 0}
-
id: 167598265
{'hecke_orbit_code': 157625986991545462, 'n': 24, 'trace_an': 0}
-
id: 167598266
{'hecke_orbit_code': 157625986991545462, 'n': 25, 'trace_an': 3}
-
id: 167598267
{'hecke_orbit_code': 157625986991545462, 'n': 26, 'trace_an': 2}
-
id: 167598268
{'hecke_orbit_code': 157625986991545462, 'n': 27, 'trace_an': 0}
-
id: 167598269
{'hecke_orbit_code': 157625986991545462, 'n': 28, 'trace_an': -5}
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id: 167598270
{'hecke_orbit_code': 157625986991545462, 'n': 29, 'trace_an': -10}
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id: 167598271
{'hecke_orbit_code': 157625986991545462, 'n': 30, 'trace_an': 0}
-
id: 167598272
{'hecke_orbit_code': 157625986991545462, 'n': 31, 'trace_an': -3}
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id: 167598273
{'hecke_orbit_code': 157625986991545462, 'n': 32, 'trace_an': -3}
-
id: 167598274
{'hecke_orbit_code': 157625986991545462, 'n': 33, 'trace_an': 0}
-
id: 167598275
{'hecke_orbit_code': 157625986991545462, 'n': 34, 'trace_an': -8}
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id: 167598276
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-
id: 167598277
{'hecke_orbit_code': 157625986991545462, 'n': 36, 'trace_an': 0}
-
id: 167598278
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-
id: 167598279
{'hecke_orbit_code': 157625986991545462, 'n': 38, 'trace_an': 6}
-
id: 167598280
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-
id: 167598281
{'hecke_orbit_code': 157625986991545462, 'n': 40, 'trace_an': 3}
-
id: 167598282
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-
id: 167598283
{'hecke_orbit_code': 157625986991545462, 'n': 42, 'trace_an': 0}
-
id: 167598284
{'hecke_orbit_code': 157625986991545462, 'n': 43, 'trace_an': 2}
-
id: 167598285
{'hecke_orbit_code': 157625986991545462, 'n': 44, 'trace_an': -3}
-
id: 167598286
{'hecke_orbit_code': 157625986991545462, 'n': 45, 'trace_an': 0}
-
id: 167598287
{'hecke_orbit_code': 157625986991545462, 'n': 46, 'trace_an': 0}
-
id: 167598288
{'hecke_orbit_code': 157625986991545462, 'n': 47, 'trace_an': -13}
-
id: 167598289
{'hecke_orbit_code': 157625986991545462, 'n': 48, 'trace_an': 0}
-
id: 167598290
{'hecke_orbit_code': 157625986991545462, 'n': 49, 'trace_an': -2}
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id: 167598291
{'hecke_orbit_code': 157625986991545462, 'n': 50, 'trace_an': -3}
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id: 167598292
{'hecke_orbit_code': 157625986991545462, 'n': 51, 'trace_an': 0}
-
id: 167598293
{'hecke_orbit_code': 157625986991545462, 'n': 52, 'trace_an': -2}
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id: 167598294
{'hecke_orbit_code': 157625986991545462, 'n': 53, 'trace_an': 5}
-
id: 167598295
{'hecke_orbit_code': 157625986991545462, 'n': 54, 'trace_an': 0}
-
id: 167598296
{'hecke_orbit_code': 157625986991545462, 'n': 55, 'trace_an': 3}
-
id: 167598297
{'hecke_orbit_code': 157625986991545462, 'n': 56, 'trace_an': 5}
-
id: 167598298
{'hecke_orbit_code': 157625986991545462, 'n': 57, 'trace_an': 0}
-
id: 167598299
{'hecke_orbit_code': 157625986991545462, 'n': 58, 'trace_an': 10}
-
id: 167598300
{'hecke_orbit_code': 157625986991545462, 'n': 59, 'trace_an': 10}
-
id: 167598301
{'hecke_orbit_code': 157625986991545462, 'n': 60, 'trace_an': 0}
-
id: 167598302
{'hecke_orbit_code': 157625986991545462, 'n': 61, 'trace_an': -15}
-
id: 167598303
{'hecke_orbit_code': 157625986991545462, 'n': 62, 'trace_an': 3}
-
id: 167598304
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-
id: 167598305
{'hecke_orbit_code': 157625986991545462, 'n': 64, 'trace_an': 3}
-
id: 167598306
{'hecke_orbit_code': 157625986991545462, 'n': 65, 'trace_an': 2}
-
id: 167598307
{'hecke_orbit_code': 157625986991545462, 'n': 66, 'trace_an': 0}
-
id: 167598308
{'hecke_orbit_code': 157625986991545462, 'n': 67, 'trace_an': 20}
-
id: 167598309
{'hecke_orbit_code': 157625986991545462, 'n': 68, 'trace_an': 8}
-
id: 167598310
{'hecke_orbit_code': 157625986991545462, 'n': 69, 'trace_an': 0}
-
id: 167598311
{'hecke_orbit_code': 157625986991545462, 'n': 70, 'trace_an': -5}
-
id: 167598312
{'hecke_orbit_code': 157625986991545462, 'n': 71, 'trace_an': 12}
-
id: 167598313
{'hecke_orbit_code': 157625986991545462, 'n': 72, 'trace_an': 0}
-
id: 167598314
{'hecke_orbit_code': 157625986991545462, 'n': 73, 'trace_an': 15}
-
id: 167598315
{'hecke_orbit_code': 157625986991545462, 'n': 74, 'trace_an': 12}
-
id: 167598316
{'hecke_orbit_code': 157625986991545462, 'n': 75, 'trace_an': 0}
-
id: 167598317
{'hecke_orbit_code': 157625986991545462, 'n': 76, 'trace_an': -6}
-
id: 167598318
{'hecke_orbit_code': 157625986991545462, 'n': 77, 'trace_an': 5}
-
id: 167598319
{'hecke_orbit_code': 157625986991545462, 'n': 78, 'trace_an': 0}
-
id: 167598320
{'hecke_orbit_code': 157625986991545462, 'n': 79, 'trace_an': -24}
-
id: 167598321
{'hecke_orbit_code': 157625986991545462, 'n': 80, 'trace_an': -3}
-
id: 167598322
{'hecke_orbit_code': 157625986991545462, 'n': 81, 'trace_an': 0}
-
id: 167598323
{'hecke_orbit_code': 157625986991545462, 'n': 82, 'trace_an': -28}
-
id: 167598324
{'hecke_orbit_code': 157625986991545462, 'n': 83, 'trace_an': 16}
-
id: 167598325
{'hecke_orbit_code': 157625986991545462, 'n': 84, 'trace_an': 0}
-
id: 167598326
{'hecke_orbit_code': 157625986991545462, 'n': 85, 'trace_an': -8}
-
id: 167598327
{'hecke_orbit_code': 157625986991545462, 'n': 86, 'trace_an': -2}
-
id: 167598328
{'hecke_orbit_code': 157625986991545462, 'n': 87, 'trace_an': 0}
-
id: 167598329
{'hecke_orbit_code': 157625986991545462, 'n': 88, 'trace_an': 3}
-
id: 167598330
{'hecke_orbit_code': 157625986991545462, 'n': 89, 'trace_an': 11}
-
id: 167598331
{'hecke_orbit_code': 157625986991545462, 'n': 90, 'trace_an': 0}
-
id: 167598332
{'hecke_orbit_code': 157625986991545462, 'n': 91, 'trace_an': 14}
-
id: 167598333
{'hecke_orbit_code': 157625986991545462, 'n': 92, 'trace_an': 0}
-
id: 167598334
{'hecke_orbit_code': 157625986991545462, 'n': 93, 'trace_an': 0}
-
id: 167598335
{'hecke_orbit_code': 157625986991545462, 'n': 94, 'trace_an': 13}
-
id: 167598336
{'hecke_orbit_code': 157625986991545462, 'n': 95, 'trace_an': 6}
-
id: 167598337
{'hecke_orbit_code': 157625986991545462, 'n': 96, 'trace_an': 0}
-
id: 167598338
{'hecke_orbit_code': 157625986991545462, 'n': 97, 'trace_an': -2}
-
id: 167598339
{'hecke_orbit_code': 157625986991545462, 'n': 98, 'trace_an': 2}
-
id: 167598340
{'hecke_orbit_code': 157625986991545462, 'n': 99, 'trace_an': 0}
-
id: 167598341
{'hecke_orbit_code': 157625986991545462, 'n': 100, 'trace_an': 3}