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mf_newforms • Show schema
Hide schema
{'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], [23, 23, 23]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 2, 'field_disc_factorization': [[2, 1]], 'field_poly': [-2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 8, 'fricke_eigenval': 1, 'has_non_self_twist': -1, 'hecke_orbit': 23, 'hecke_orbit_code': 99079191835729014, '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.w', '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': '2.2.8.1', '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': '23670.2.a', 'trace_display': [-2, 0, -2, 0], 'traces': [2, -2, 0, 2, -2, 0, 0, -2, 0, 2, -4, 0, -6, 0, 0, 2, -2, 0, -8, -2, 0, 4, 8, 0, 2, 6, 0, 0, 16, 0, 4, -2, 0, 2, 0, 0, 8, 8, 0, 2, -2, 0, -12, -4, 0, -8, -6, 0, -14, -2, 0, -6, 14, 0, 4, 0, 0, -16, 12, 0, -8, -4, 0, 2, 6, 0, -4, -2, 0, 0, 0, 0, -6, -8, 0, -8, 0, 0, -2, -2, 0, 2, 6, 0, 2, 12, 0, 4, 4, 0, 0, 8, 0, 6, 8, 0, 2, 14, 0, 2], 'weight': 2, 'weight_parity': 1}
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label 23670.2.a.w 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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-20, 28, 0, 20, 84, 0, 498, 220, 0, 216, 24, 0, 144, -40, 0, -48, -56, 0, 0, -240, 0, -132, -68, 0, 36, 56, 0, 160, 28, 0, 0, 8, 0, -64, -4, 0, -28, 160, 0, -100, -72, 0, 84, 56, 0, 120, -52, 0, 96, -24, 0, 16, -90, 0, 0, 0, 0, 128, 24, 0, -28, -16, 0, -212, 56, 0, 8, 136, 0, 68, 0, 0, 40, -16, 0, -32, 88, 0, 168, 108, 0, 80, 32, 0, 160, -16, 0, 128, 12, 0, 4, 308, 0, 128, 56, 0, 128, 280, 0, -164, 8, 0, 108, 168, 0, 16, 52, 0, 128, -144, 0, 280, 96, 0, 426, 16, 0, 20, -88, 0, 40, -124, 0, -48, 64, 0, 8, -188, 0, 264, -2, 0, 100, 240, 0, 64, -96, 0, -8, -12, 0, 116, -48, 0, -64, -40, 0, 72, 68, 0, -8, 8, 0, -64, 24, 0, -88, 324, 0, 112, 72, 0, 12, 364, 0, 72, 8, 0, 16, 416, 0, 354, 72, 0, 4, 80, 0, 8, -8, 0, -4, 184, 0, -132, 160, 0, 60, 52, 0, -60, 0, 0, 48, -64, 0, -24, -228, 0, 56, 208, 0, -296, -44, 0, -56, -4, 0, 28, -8, 0, 0, -224, 0, 188, 104, 0, 116, -48, 0, 208, 48, 0, -184, 168, 0, 24, 8, 0, -44, 264, 0, 40, -72, 0, -20, 72, 0, 84, -132, 0, -64, -8, 0, -232, -116, 0, 48, 152, 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.w does not appear in mf_twists_nf
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hecke_orbit_code 99079191835729014 does not appear in mf_hecke_charpolys
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label 23670.2.a.w does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 159217342
{'hecke_orbit_code': 99079191835729014, 'n': 1, 'trace_an': 2}
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id: 159217343
{'hecke_orbit_code': 99079191835729014, 'n': 2, 'trace_an': -2}
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id: 159217344
{'hecke_orbit_code': 99079191835729014, 'n': 3, 'trace_an': 0}
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id: 159217345
{'hecke_orbit_code': 99079191835729014, 'n': 4, 'trace_an': 2}
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id: 159217346
{'hecke_orbit_code': 99079191835729014, 'n': 5, 'trace_an': -2}
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id: 159217347
{'hecke_orbit_code': 99079191835729014, 'n': 6, 'trace_an': 0}
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id: 159217348
{'hecke_orbit_code': 99079191835729014, 'n': 7, 'trace_an': 0}
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id: 159217349
{'hecke_orbit_code': 99079191835729014, 'n': 8, 'trace_an': -2}
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id: 159217350
{'hecke_orbit_code': 99079191835729014, 'n': 9, 'trace_an': 0}
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id: 159217351
{'hecke_orbit_code': 99079191835729014, 'n': 10, 'trace_an': 2}
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id: 159217352
{'hecke_orbit_code': 99079191835729014, 'n': 11, 'trace_an': -4}
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id: 159217353
{'hecke_orbit_code': 99079191835729014, 'n': 12, 'trace_an': 0}
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id: 159217354
{'hecke_orbit_code': 99079191835729014, 'n': 13, 'trace_an': -6}
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id: 159217355
{'hecke_orbit_code': 99079191835729014, 'n': 14, 'trace_an': 0}
-
id: 159217356
{'hecke_orbit_code': 99079191835729014, 'n': 15, 'trace_an': 0}
-
id: 159217357
{'hecke_orbit_code': 99079191835729014, 'n': 16, 'trace_an': 2}
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id: 159217358
{'hecke_orbit_code': 99079191835729014, 'n': 17, 'trace_an': -2}
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id: 159217359
{'hecke_orbit_code': 99079191835729014, 'n': 18, 'trace_an': 0}
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id: 159217360
{'hecke_orbit_code': 99079191835729014, 'n': 19, 'trace_an': -8}
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id: 159217361
{'hecke_orbit_code': 99079191835729014, 'n': 20, 'trace_an': -2}
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id: 159217362
{'hecke_orbit_code': 99079191835729014, 'n': 21, 'trace_an': 0}
-
id: 159217363
{'hecke_orbit_code': 99079191835729014, 'n': 22, 'trace_an': 4}
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id: 159217364
{'hecke_orbit_code': 99079191835729014, 'n': 23, 'trace_an': 8}
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id: 159217365
{'hecke_orbit_code': 99079191835729014, 'n': 24, 'trace_an': 0}
-
id: 159217366
{'hecke_orbit_code': 99079191835729014, 'n': 25, 'trace_an': 2}
-
id: 159217367
{'hecke_orbit_code': 99079191835729014, 'n': 26, 'trace_an': 6}
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id: 159217368
{'hecke_orbit_code': 99079191835729014, 'n': 27, 'trace_an': 0}
-
id: 159217369
{'hecke_orbit_code': 99079191835729014, 'n': 28, 'trace_an': 0}
-
id: 159217370
{'hecke_orbit_code': 99079191835729014, 'n': 29, 'trace_an': 16}
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id: 159217371
{'hecke_orbit_code': 99079191835729014, 'n': 30, 'trace_an': 0}
-
id: 159217372
{'hecke_orbit_code': 99079191835729014, 'n': 31, 'trace_an': 4}
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id: 159217373
{'hecke_orbit_code': 99079191835729014, 'n': 32, 'trace_an': -2}
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id: 159217374
{'hecke_orbit_code': 99079191835729014, 'n': 33, 'trace_an': 0}
-
id: 159217375
{'hecke_orbit_code': 99079191835729014, 'n': 34, 'trace_an': 2}
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id: 159217376
{'hecke_orbit_code': 99079191835729014, 'n': 35, 'trace_an': 0}
-
id: 159217377
{'hecke_orbit_code': 99079191835729014, 'n': 36, 'trace_an': 0}
-
id: 159217378
{'hecke_orbit_code': 99079191835729014, 'n': 37, 'trace_an': 8}
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id: 159217379
{'hecke_orbit_code': 99079191835729014, 'n': 38, 'trace_an': 8}
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id: 159217380
{'hecke_orbit_code': 99079191835729014, 'n': 39, 'trace_an': 0}
-
id: 159217381
{'hecke_orbit_code': 99079191835729014, 'n': 40, 'trace_an': 2}
-
id: 159217382
{'hecke_orbit_code': 99079191835729014, 'n': 41, 'trace_an': -2}
-
id: 159217383
{'hecke_orbit_code': 99079191835729014, 'n': 42, 'trace_an': 0}
-
id: 159217384
{'hecke_orbit_code': 99079191835729014, 'n': 43, 'trace_an': -12}
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id: 159217385
{'hecke_orbit_code': 99079191835729014, 'n': 44, 'trace_an': -4}
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id: 159217386
{'hecke_orbit_code': 99079191835729014, 'n': 45, 'trace_an': 0}
-
id: 159217387
{'hecke_orbit_code': 99079191835729014, 'n': 46, 'trace_an': -8}
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id: 159217388
{'hecke_orbit_code': 99079191835729014, 'n': 47, 'trace_an': -6}
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id: 159217389
{'hecke_orbit_code': 99079191835729014, 'n': 48, 'trace_an': 0}
-
id: 159217390
{'hecke_orbit_code': 99079191835729014, 'n': 49, 'trace_an': -14}
-
id: 159217391
{'hecke_orbit_code': 99079191835729014, 'n': 50, 'trace_an': -2}
-
id: 159217392
{'hecke_orbit_code': 99079191835729014, 'n': 51, 'trace_an': 0}
-
id: 159217393
{'hecke_orbit_code': 99079191835729014, 'n': 52, 'trace_an': -6}
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id: 159217394
{'hecke_orbit_code': 99079191835729014, 'n': 53, 'trace_an': 14}
-
id: 159217395
{'hecke_orbit_code': 99079191835729014, 'n': 54, 'trace_an': 0}
-
id: 159217396
{'hecke_orbit_code': 99079191835729014, 'n': 55, 'trace_an': 4}
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id: 159217397
{'hecke_orbit_code': 99079191835729014, 'n': 56, 'trace_an': 0}
-
id: 159217398
{'hecke_orbit_code': 99079191835729014, 'n': 57, 'trace_an': 0}
-
id: 159217399
{'hecke_orbit_code': 99079191835729014, 'n': 58, 'trace_an': -16}
-
id: 159217400
{'hecke_orbit_code': 99079191835729014, 'n': 59, 'trace_an': 12}
-
id: 159217401
{'hecke_orbit_code': 99079191835729014, 'n': 60, 'trace_an': 0}
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id: 159217402
{'hecke_orbit_code': 99079191835729014, 'n': 61, 'trace_an': -8}
-
id: 159217403
{'hecke_orbit_code': 99079191835729014, 'n': 62, 'trace_an': -4}
-
id: 159217404
{'hecke_orbit_code': 99079191835729014, 'n': 63, 'trace_an': 0}
-
id: 159217405
{'hecke_orbit_code': 99079191835729014, 'n': 64, 'trace_an': 2}
-
id: 159217406
{'hecke_orbit_code': 99079191835729014, 'n': 65, 'trace_an': 6}
-
id: 159217407
{'hecke_orbit_code': 99079191835729014, 'n': 66, 'trace_an': 0}
-
id: 159217408
{'hecke_orbit_code': 99079191835729014, 'n': 67, 'trace_an': -4}
-
id: 159217409
{'hecke_orbit_code': 99079191835729014, 'n': 68, 'trace_an': -2}
-
id: 159217410
{'hecke_orbit_code': 99079191835729014, 'n': 69, 'trace_an': 0}
-
id: 159217411
{'hecke_orbit_code': 99079191835729014, 'n': 70, 'trace_an': 0}
-
id: 159217412
{'hecke_orbit_code': 99079191835729014, 'n': 71, 'trace_an': 0}
-
id: 159217413
{'hecke_orbit_code': 99079191835729014, 'n': 72, 'trace_an': 0}
-
id: 159217414
{'hecke_orbit_code': 99079191835729014, 'n': 73, 'trace_an': -6}
-
id: 159217415
{'hecke_orbit_code': 99079191835729014, 'n': 74, 'trace_an': -8}
-
id: 159217416
{'hecke_orbit_code': 99079191835729014, 'n': 75, 'trace_an': 0}
-
id: 159217417
{'hecke_orbit_code': 99079191835729014, 'n': 76, 'trace_an': -8}
-
id: 159217418
{'hecke_orbit_code': 99079191835729014, 'n': 77, 'trace_an': 0}
-
id: 159217419
{'hecke_orbit_code': 99079191835729014, 'n': 78, 'trace_an': 0}
-
id: 159217420
{'hecke_orbit_code': 99079191835729014, 'n': 79, 'trace_an': -2}
-
id: 159217421
{'hecke_orbit_code': 99079191835729014, 'n': 80, 'trace_an': -2}
-
id: 159217422
{'hecke_orbit_code': 99079191835729014, 'n': 81, 'trace_an': 0}
-
id: 159217423
{'hecke_orbit_code': 99079191835729014, 'n': 82, 'trace_an': 2}
-
id: 159217424
{'hecke_orbit_code': 99079191835729014, 'n': 83, 'trace_an': 6}
-
id: 159217425
{'hecke_orbit_code': 99079191835729014, 'n': 84, 'trace_an': 0}
-
id: 159217426
{'hecke_orbit_code': 99079191835729014, 'n': 85, 'trace_an': 2}
-
id: 159217427
{'hecke_orbit_code': 99079191835729014, 'n': 86, 'trace_an': 12}
-
id: 159217428
{'hecke_orbit_code': 99079191835729014, 'n': 87, 'trace_an': 0}
-
id: 159217429
{'hecke_orbit_code': 99079191835729014, 'n': 88, 'trace_an': 4}
-
id: 159217430
{'hecke_orbit_code': 99079191835729014, 'n': 89, 'trace_an': 4}
-
id: 159217431
{'hecke_orbit_code': 99079191835729014, 'n': 90, 'trace_an': 0}
-
id: 159217432
{'hecke_orbit_code': 99079191835729014, 'n': 91, 'trace_an': 0}
-
id: 159217433
{'hecke_orbit_code': 99079191835729014, 'n': 92, 'trace_an': 8}
-
id: 159217434
{'hecke_orbit_code': 99079191835729014, 'n': 93, 'trace_an': 0}
-
id: 159217435
{'hecke_orbit_code': 99079191835729014, 'n': 94, 'trace_an': 6}
-
id: 159217436
{'hecke_orbit_code': 99079191835729014, 'n': 95, 'trace_an': 8}
-
id: 159217437
{'hecke_orbit_code': 99079191835729014, 'n': 96, 'trace_an': 0}
-
id: 159217438
{'hecke_orbit_code': 99079191835729014, 'n': 97, 'trace_an': 2}
-
id: 159217439
{'hecke_orbit_code': 99079191835729014, 'n': 98, 'trace_an': 14}
-
id: 159217440
{'hecke_orbit_code': 99079191835729014, 'n': 99, 'trace_an': 0}
-
id: 159217441
{'hecke_orbit_code': 99079191835729014, 'n': 100, 'trace_an': 2}