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mf_newforms • Show schema
Hide schema
{'Nk2': 183040, 'analytic_conductor': 365.39543964937906, 'atkin_lehner_eigenvals': [[2, -1], [5, -1], [11, -1], [13, 1]], 'atkin_lehner_string': '---+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [45760, 1, [41471, 8581, 27457, 24961, 14081], [108, 108, 108, 108, 108]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 3, 'field_disc_factorization': [[3, 1]], 'field_poly': [-2, -8, -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': 108, 'hecke_orbit_code': 481885160162243264, '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': '45760.2.a.ed', 'level': 45760, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 11, 13], 'level_radical': 1430, 'nf_label': '3.3.1708.1', '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': '45760.2.a', 'trace_display': [0, 2, 3, -4], 'traces': [3, 0, 2, 0, 3, 0, -4, 0, 9, 0, 3, 0, -3, 0, 2, 0, 14, 0, -4, 0, 14, 0, 10, 0, 3, 0, 8, 0, 4, 0, -14, 0, 2, 0, -4, 0, -6, 0, -2, 0, -14, 0, 18, 0, 9, 0, 0, 0, 1, 0, 26, 0, 2, 0, 3, 0, -2, 0, 20, 0, -12, 0, -4, 0, -3, 0, -8, 0, -18, 0, -14, 0, 6, 0, 2, 0, -4, 0, 22, 0, 11, 0, 0, 0, 14, 0, 2, 0, 14, 0, 4, 0, 32, 0, -4, 0, -20, 0, 9, 0], 'weight': 2, 'weight_parity': 1}
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label 45760.2.a.ed does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [60, 58, 58, 60, 65, 57, 57, 65, 60, 62, 62, 60, 55, 63, 63, 55], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [431, 446, 446, 446, 447, 441, 441, 431, 448, 432, 440, 440, 439, 445, 437, 447], 'Nk2': 183040, 'analytic_conductor': 365.39543964937906, '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': [45760, 1, [41471, 8581, 27457, 24961, 14081], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 8017, 'dim': 960, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_orbit_code': 33600192, '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, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 18, 18, 19, 19], 'label': '45760.2.a', 'level': 45760, '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, 5, 11, 13], 'level_radical': 1430, 'mf_dim': 8112, 'mf_new_dim': 960, 'num_forms': 188, 'plus_dim': 468, 'prim_orbit_index': 1, 'relative_dim': 960, 'sturm_bound': 16128, 'trace_display': [0, 0, 0, 0], 'traces': [960, 0, 0, 0, 0, 0, 0, 0, 960, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 960, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 960, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 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0, 0, 0, 512, 0, 0, 0, 512, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 45760.2.a.ed does not appear in mf_twists_nf
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hecke_orbit_code 481885160162243264 does not appear in mf_hecke_charpolys
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label 45760.2.a.ed does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 182091342
{'hecke_orbit_code': 481885160162243264, 'n': 1, 'trace_an': 3}
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id: 182091343
{'hecke_orbit_code': 481885160162243264, 'n': 2, 'trace_an': 0}
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id: 182091344
{'hecke_orbit_code': 481885160162243264, 'n': 3, 'trace_an': 2}
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id: 182091345
{'hecke_orbit_code': 481885160162243264, 'n': 4, 'trace_an': 0}
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id: 182091346
{'hecke_orbit_code': 481885160162243264, 'n': 5, 'trace_an': 3}
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id: 182091347
{'hecke_orbit_code': 481885160162243264, 'n': 6, 'trace_an': 0}
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id: 182091348
{'hecke_orbit_code': 481885160162243264, 'n': 7, 'trace_an': -4}
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id: 182091349
{'hecke_orbit_code': 481885160162243264, 'n': 8, 'trace_an': 0}
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id: 182091350
{'hecke_orbit_code': 481885160162243264, 'n': 9, 'trace_an': 9}
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id: 182091351
{'hecke_orbit_code': 481885160162243264, 'n': 10, 'trace_an': 0}
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id: 182091352
{'hecke_orbit_code': 481885160162243264, 'n': 11, 'trace_an': 3}
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id: 182091353
{'hecke_orbit_code': 481885160162243264, 'n': 12, 'trace_an': 0}
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id: 182091354
{'hecke_orbit_code': 481885160162243264, 'n': 13, 'trace_an': -3}
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id: 182091355
{'hecke_orbit_code': 481885160162243264, 'n': 14, 'trace_an': 0}
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id: 182091356
{'hecke_orbit_code': 481885160162243264, 'n': 15, 'trace_an': 2}
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id: 182091357
{'hecke_orbit_code': 481885160162243264, 'n': 16, 'trace_an': 0}
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id: 182091358
{'hecke_orbit_code': 481885160162243264, 'n': 17, 'trace_an': 14}
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id: 182091359
{'hecke_orbit_code': 481885160162243264, 'n': 18, 'trace_an': 0}
-
id: 182091360
{'hecke_orbit_code': 481885160162243264, 'n': 19, 'trace_an': -4}
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id: 182091361
{'hecke_orbit_code': 481885160162243264, 'n': 20, 'trace_an': 0}
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id: 182091362
{'hecke_orbit_code': 481885160162243264, 'n': 21, 'trace_an': 14}
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id: 182091363
{'hecke_orbit_code': 481885160162243264, 'n': 22, 'trace_an': 0}
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id: 182091364
{'hecke_orbit_code': 481885160162243264, 'n': 23, 'trace_an': 10}
-
id: 182091365
{'hecke_orbit_code': 481885160162243264, 'n': 24, 'trace_an': 0}
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id: 182091366
{'hecke_orbit_code': 481885160162243264, 'n': 25, 'trace_an': 3}
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id: 182091367
{'hecke_orbit_code': 481885160162243264, 'n': 26, 'trace_an': 0}
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id: 182091368
{'hecke_orbit_code': 481885160162243264, 'n': 27, 'trace_an': 8}
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id: 182091369
{'hecke_orbit_code': 481885160162243264, 'n': 28, 'trace_an': 0}
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id: 182091370
{'hecke_orbit_code': 481885160162243264, 'n': 29, 'trace_an': 4}
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id: 182091371
{'hecke_orbit_code': 481885160162243264, 'n': 30, 'trace_an': 0}
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id: 182091372
{'hecke_orbit_code': 481885160162243264, 'n': 31, 'trace_an': -14}
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id: 182091373
{'hecke_orbit_code': 481885160162243264, 'n': 32, 'trace_an': 0}
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id: 182091374
{'hecke_orbit_code': 481885160162243264, 'n': 33, 'trace_an': 2}
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id: 182091375
{'hecke_orbit_code': 481885160162243264, 'n': 34, 'trace_an': 0}
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id: 182091376
{'hecke_orbit_code': 481885160162243264, 'n': 35, 'trace_an': -4}
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id: 182091377
{'hecke_orbit_code': 481885160162243264, 'n': 36, 'trace_an': 0}
-
id: 182091378
{'hecke_orbit_code': 481885160162243264, 'n': 37, 'trace_an': -6}
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id: 182091379
{'hecke_orbit_code': 481885160162243264, 'n': 38, 'trace_an': 0}
-
id: 182091380
{'hecke_orbit_code': 481885160162243264, 'n': 39, 'trace_an': -2}
-
id: 182091381
{'hecke_orbit_code': 481885160162243264, 'n': 40, 'trace_an': 0}
-
id: 182091382
{'hecke_orbit_code': 481885160162243264, 'n': 41, 'trace_an': -14}
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id: 182091383
{'hecke_orbit_code': 481885160162243264, 'n': 42, 'trace_an': 0}
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id: 182091384
{'hecke_orbit_code': 481885160162243264, 'n': 43, 'trace_an': 18}
-
id: 182091385
{'hecke_orbit_code': 481885160162243264, 'n': 44, 'trace_an': 0}
-
id: 182091386
{'hecke_orbit_code': 481885160162243264, 'n': 45, 'trace_an': 9}
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id: 182091387
{'hecke_orbit_code': 481885160162243264, 'n': 46, 'trace_an': 0}
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id: 182091388
{'hecke_orbit_code': 481885160162243264, 'n': 47, 'trace_an': 0}
-
id: 182091389
{'hecke_orbit_code': 481885160162243264, 'n': 48, 'trace_an': 0}
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id: 182091390
{'hecke_orbit_code': 481885160162243264, 'n': 49, 'trace_an': 1}
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id: 182091391
{'hecke_orbit_code': 481885160162243264, 'n': 50, 'trace_an': 0}
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id: 182091392
{'hecke_orbit_code': 481885160162243264, 'n': 51, 'trace_an': 26}
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id: 182091393
{'hecke_orbit_code': 481885160162243264, 'n': 52, 'trace_an': 0}
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id: 182091394
{'hecke_orbit_code': 481885160162243264, 'n': 53, 'trace_an': 2}
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id: 182091395
{'hecke_orbit_code': 481885160162243264, 'n': 54, 'trace_an': 0}
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id: 182091396
{'hecke_orbit_code': 481885160162243264, 'n': 55, 'trace_an': 3}
-
id: 182091397
{'hecke_orbit_code': 481885160162243264, 'n': 56, 'trace_an': 0}
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id: 182091398
{'hecke_orbit_code': 481885160162243264, 'n': 57, 'trace_an': -2}
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id: 182091399
{'hecke_orbit_code': 481885160162243264, 'n': 58, 'trace_an': 0}
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id: 182091400
{'hecke_orbit_code': 481885160162243264, 'n': 59, 'trace_an': 20}
-
id: 182091401
{'hecke_orbit_code': 481885160162243264, 'n': 60, 'trace_an': 0}
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id: 182091402
{'hecke_orbit_code': 481885160162243264, 'n': 61, 'trace_an': -12}
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id: 182091403
{'hecke_orbit_code': 481885160162243264, 'n': 62, 'trace_an': 0}
-
id: 182091404
{'hecke_orbit_code': 481885160162243264, 'n': 63, 'trace_an': -4}
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id: 182091405
{'hecke_orbit_code': 481885160162243264, 'n': 64, 'trace_an': 0}
-
id: 182091406
{'hecke_orbit_code': 481885160162243264, 'n': 65, 'trace_an': -3}
-
id: 182091407
{'hecke_orbit_code': 481885160162243264, 'n': 66, 'trace_an': 0}
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id: 182091408
{'hecke_orbit_code': 481885160162243264, 'n': 67, 'trace_an': -8}
-
id: 182091409
{'hecke_orbit_code': 481885160162243264, 'n': 68, 'trace_an': 0}
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id: 182091410
{'hecke_orbit_code': 481885160162243264, 'n': 69, 'trace_an': -18}
-
id: 182091411
{'hecke_orbit_code': 481885160162243264, 'n': 70, 'trace_an': 0}
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id: 182091412
{'hecke_orbit_code': 481885160162243264, 'n': 71, 'trace_an': -14}
-
id: 182091413
{'hecke_orbit_code': 481885160162243264, 'n': 72, 'trace_an': 0}
-
id: 182091414
{'hecke_orbit_code': 481885160162243264, 'n': 73, 'trace_an': 6}
-
id: 182091415
{'hecke_orbit_code': 481885160162243264, 'n': 74, 'trace_an': 0}
-
id: 182091416
{'hecke_orbit_code': 481885160162243264, 'n': 75, 'trace_an': 2}
-
id: 182091417
{'hecke_orbit_code': 481885160162243264, 'n': 76, 'trace_an': 0}
-
id: 182091418
{'hecke_orbit_code': 481885160162243264, 'n': 77, 'trace_an': -4}
-
id: 182091419
{'hecke_orbit_code': 481885160162243264, 'n': 78, 'trace_an': 0}
-
id: 182091420
{'hecke_orbit_code': 481885160162243264, 'n': 79, 'trace_an': 22}
-
id: 182091421
{'hecke_orbit_code': 481885160162243264, 'n': 80, 'trace_an': 0}
-
id: 182091422
{'hecke_orbit_code': 481885160162243264, 'n': 81, 'trace_an': 11}
-
id: 182091423
{'hecke_orbit_code': 481885160162243264, 'n': 82, 'trace_an': 0}
-
id: 182091424
{'hecke_orbit_code': 481885160162243264, 'n': 83, 'trace_an': 0}
-
id: 182091425
{'hecke_orbit_code': 481885160162243264, 'n': 84, 'trace_an': 0}
-
id: 182091426
{'hecke_orbit_code': 481885160162243264, 'n': 85, 'trace_an': 14}
-
id: 182091427
{'hecke_orbit_code': 481885160162243264, 'n': 86, 'trace_an': 0}
-
id: 182091428
{'hecke_orbit_code': 481885160162243264, 'n': 87, 'trace_an': 2}
-
id: 182091429
{'hecke_orbit_code': 481885160162243264, 'n': 88, 'trace_an': 0}
-
id: 182091430
{'hecke_orbit_code': 481885160162243264, 'n': 89, 'trace_an': 14}
-
id: 182091431
{'hecke_orbit_code': 481885160162243264, 'n': 90, 'trace_an': 0}
-
id: 182091432
{'hecke_orbit_code': 481885160162243264, 'n': 91, 'trace_an': 4}
-
id: 182091433
{'hecke_orbit_code': 481885160162243264, 'n': 92, 'trace_an': 0}
-
id: 182091434
{'hecke_orbit_code': 481885160162243264, 'n': 93, 'trace_an': 32}
-
id: 182091435
{'hecke_orbit_code': 481885160162243264, 'n': 94, 'trace_an': 0}
-
id: 182091436
{'hecke_orbit_code': 481885160162243264, 'n': 95, 'trace_an': -4}
-
id: 182091437
{'hecke_orbit_code': 481885160162243264, 'n': 96, 'trace_an': 0}
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id: 182091438
{'hecke_orbit_code': 481885160162243264, 'n': 97, 'trace_an': -20}
-
id: 182091439
{'hecke_orbit_code': 481885160162243264, 'n': 98, 'trace_an': 0}
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id: 182091440
{'hecke_orbit_code': 481885160162243264, 'n': 99, 'trace_an': 9}
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id: 182091441
{'hecke_orbit_code': 481885160162243264, 'n': 100, 'trace_an': 0}