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mf_newforms • Show schema
Hide schema
{'Nk2': 176400, 'analytic_conductor': 352.1402729138465, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [5, -1], [7, -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': [44100, 1, [22051, 34301, 15877, 9901], [118, 118, 118, 118]], 'conrey_index': 1, 'dim': 2, 'field_disc': 2, 'field_disc_factorization': [[2, 1]], 'field_poly': [-10, 0, 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': 118, 'hecke_orbit_code': 526921156435946564, 'inner_twist_count': -1, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'label': '44100.2.a.en', 'level': 44100, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'nf_label': '2.2.40.1', 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'space_label': '44100.2.a', 'trace_display': [0, 0, 0, 0], 'traces': [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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label 44100.2.a.en does not appear in mf_hecke_nf
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mf_newspaces • Show schema
Hide schema
{'ALdims': [0, 0, 0, 0, 0, 0, 0, 0, 32, 30, 29, 38, 44, 48, 52, 51], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [47, 48, 48, 48, 48, 48, 48, 48, 24, 24, 24, 24, 24, 24, 24, 24], 'ALdims_old': [601, 612, 608, 604, 612, 600, 604, 608, 592, 582, 587, 582, 568, 576, 568, 565], 'Nk2': 176400, 'analytic_conductor': 352.1402729138465, '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': [44100, 1, [22051, 34301, 15877, 9901], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 9793, 'dim': 324, 'eis_dim': 575, 'eis_new_dim': 0, 'hecke_orbit_code': 33598532, '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, 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, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8], 'label': '44100.2.a', 'level': 44100, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 10368, 'mf_new_dim': 324, 'num_forms': 166, 'plus_dim': 154, 'prim_orbit_index': 1, 'relative_dim': 324, 'sturm_bound': 20160, 'trace_display': [0, 0, 0, 0], 'traces': [324, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -4, 0, 0, 0, -2, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, -10, 0, 18, 0, 0, 0, 2, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -12, 0, 12, 0, 0, 0, 0, 0, 20, 0, 0, 0, 20, 0, -4, 0, 0, 0, 0, 0, 30, 0, 0, 0, 42, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 6, 0, 6, 0, 0, 0, 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0, 0, 0, 0, -120, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 44100.2.a.en does not appear in mf_twists_nf
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hecke_orbit_code 526921156435946564 does not appear in mf_hecke_charpolys
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label 44100.2.a.en does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
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id: 182641342
{'hecke_orbit_code': 526921156435946564, 'n': 1, 'trace_an': 2}
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id: 182641343
{'hecke_orbit_code': 526921156435946564, 'n': 2, 'trace_an': 0}
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id: 182641344
{'hecke_orbit_code': 526921156435946564, 'n': 3, 'trace_an': 0}
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id: 182641345
{'hecke_orbit_code': 526921156435946564, 'n': 4, 'trace_an': 0}
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id: 182641346
{'hecke_orbit_code': 526921156435946564, 'n': 5, 'trace_an': 0}
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id: 182641347
{'hecke_orbit_code': 526921156435946564, 'n': 6, 'trace_an': 0}
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id: 182641348
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id: 182641349
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id: 182641350
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id: 182641351
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id: 182641352
{'hecke_orbit_code': 526921156435946564, 'n': 11, 'trace_an': 0}
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id: 182641353
{'hecke_orbit_code': 526921156435946564, 'n': 12, 'trace_an': 0}
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id: 182641354
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id: 182641355
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id: 182641356
{'hecke_orbit_code': 526921156435946564, 'n': 15, 'trace_an': 0}
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id: 182641357
{'hecke_orbit_code': 526921156435946564, 'n': 16, 'trace_an': 0}
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id: 182641358
{'hecke_orbit_code': 526921156435946564, 'n': 17, 'trace_an': 0}
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id: 182641359
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id: 182641360
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id: 182641361
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-
id: 182641362
{'hecke_orbit_code': 526921156435946564, 'n': 21, 'trace_an': 0}
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id: 182641363
{'hecke_orbit_code': 526921156435946564, 'n': 22, 'trace_an': 0}
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id: 182641364
{'hecke_orbit_code': 526921156435946564, 'n': 23, 'trace_an': 0}
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id: 182641365
{'hecke_orbit_code': 526921156435946564, 'n': 24, 'trace_an': 0}
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id: 182641366
{'hecke_orbit_code': 526921156435946564, 'n': 25, 'trace_an': 0}
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id: 182641367
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id: 182641368
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id: 182641369
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id: 182641370
{'hecke_orbit_code': 526921156435946564, 'n': 29, 'trace_an': 0}
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id: 182641371
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id: 182641372
{'hecke_orbit_code': 526921156435946564, 'n': 31, 'trace_an': 8}
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id: 182641373
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id: 182641374
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id: 182641375
{'hecke_orbit_code': 526921156435946564, 'n': 34, 'trace_an': 0}
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id: 182641376
{'hecke_orbit_code': 526921156435946564, 'n': 35, 'trace_an': 0}
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id: 182641377
{'hecke_orbit_code': 526921156435946564, 'n': 36, 'trace_an': 0}
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id: 182641378
{'hecke_orbit_code': 526921156435946564, 'n': 37, 'trace_an': -2}
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id: 182641379
{'hecke_orbit_code': 526921156435946564, 'n': 38, 'trace_an': 0}
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id: 182641380
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id: 182641381
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id: 182641382
{'hecke_orbit_code': 526921156435946564, 'n': 41, 'trace_an': 0}
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id: 182641383
{'hecke_orbit_code': 526921156435946564, 'n': 42, 'trace_an': 0}
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id: 182641384
{'hecke_orbit_code': 526921156435946564, 'n': 43, 'trace_an': -16}
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id: 182641385
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id: 182641386
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id: 182641387
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id: 182641388
{'hecke_orbit_code': 526921156435946564, 'n': 47, 'trace_an': 0}
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id: 182641389
{'hecke_orbit_code': 526921156435946564, 'n': 48, 'trace_an': 0}
-
id: 182641390
{'hecke_orbit_code': 526921156435946564, 'n': 49, 'trace_an': 0}
-
id: 182641391
{'hecke_orbit_code': 526921156435946564, 'n': 50, 'trace_an': 0}
-
id: 182641392
{'hecke_orbit_code': 526921156435946564, 'n': 51, 'trace_an': 0}
-
id: 182641393
{'hecke_orbit_code': 526921156435946564, 'n': 52, 'trace_an': 0}
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id: 182641394
{'hecke_orbit_code': 526921156435946564, 'n': 53, 'trace_an': 0}
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id: 182641395
{'hecke_orbit_code': 526921156435946564, 'n': 54, 'trace_an': 0}
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id: 182641396
{'hecke_orbit_code': 526921156435946564, 'n': 55, 'trace_an': 0}
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id: 182641397
{'hecke_orbit_code': 526921156435946564, 'n': 56, 'trace_an': 0}
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id: 182641398
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id: 182641399
{'hecke_orbit_code': 526921156435946564, 'n': 58, 'trace_an': 0}
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id: 182641400
{'hecke_orbit_code': 526921156435946564, 'n': 59, 'trace_an': 0}
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id: 182641401
{'hecke_orbit_code': 526921156435946564, 'n': 60, 'trace_an': 0}
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id: 182641402
{'hecke_orbit_code': 526921156435946564, 'n': 61, 'trace_an': -14}
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id: 182641403
{'hecke_orbit_code': 526921156435946564, 'n': 62, 'trace_an': 0}
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id: 182641404
{'hecke_orbit_code': 526921156435946564, 'n': 63, 'trace_an': 0}
-
id: 182641405
{'hecke_orbit_code': 526921156435946564, 'n': 64, 'trace_an': 0}
-
id: 182641406
{'hecke_orbit_code': 526921156435946564, 'n': 65, 'trace_an': 0}
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id: 182641407
{'hecke_orbit_code': 526921156435946564, 'n': 66, 'trace_an': 0}
-
id: 182641408
{'hecke_orbit_code': 526921156435946564, 'n': 67, 'trace_an': 18}
-
id: 182641409
{'hecke_orbit_code': 526921156435946564, 'n': 68, 'trace_an': 0}
-
id: 182641410
{'hecke_orbit_code': 526921156435946564, 'n': 69, 'trace_an': 0}
-
id: 182641411
{'hecke_orbit_code': 526921156435946564, 'n': 70, 'trace_an': 0}
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id: 182641412
{'hecke_orbit_code': 526921156435946564, 'n': 71, 'trace_an': 0}
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id: 182641413
{'hecke_orbit_code': 526921156435946564, 'n': 72, 'trace_an': 0}
-
id: 182641414
{'hecke_orbit_code': 526921156435946564, 'n': 73, 'trace_an': 14}
-
id: 182641415
{'hecke_orbit_code': 526921156435946564, 'n': 74, 'trace_an': 0}
-
id: 182641416
{'hecke_orbit_code': 526921156435946564, 'n': 75, 'trace_an': 0}
-
id: 182641417
{'hecke_orbit_code': 526921156435946564, 'n': 76, 'trace_an': 0}
-
id: 182641418
{'hecke_orbit_code': 526921156435946564, 'n': 77, 'trace_an': 0}
-
id: 182641419
{'hecke_orbit_code': 526921156435946564, 'n': 78, 'trace_an': 0}
-
id: 182641420
{'hecke_orbit_code': 526921156435946564, 'n': 79, 'trace_an': 14}
-
id: 182641421
{'hecke_orbit_code': 526921156435946564, 'n': 80, 'trace_an': 0}
-
id: 182641422
{'hecke_orbit_code': 526921156435946564, 'n': 81, 'trace_an': 0}
-
id: 182641423
{'hecke_orbit_code': 526921156435946564, 'n': 82, 'trace_an': 0}
-
id: 182641424
{'hecke_orbit_code': 526921156435946564, 'n': 83, 'trace_an': 0}
-
id: 182641425
{'hecke_orbit_code': 526921156435946564, 'n': 84, 'trace_an': 0}
-
id: 182641426
{'hecke_orbit_code': 526921156435946564, 'n': 85, 'trace_an': 0}
-
id: 182641427
{'hecke_orbit_code': 526921156435946564, 'n': 86, 'trace_an': 0}
-
id: 182641428
{'hecke_orbit_code': 526921156435946564, 'n': 87, 'trace_an': 0}
-
id: 182641429
{'hecke_orbit_code': 526921156435946564, 'n': 88, 'trace_an': 0}
-
id: 182641430
{'hecke_orbit_code': 526921156435946564, 'n': 89, 'trace_an': 0}
-
id: 182641431
{'hecke_orbit_code': 526921156435946564, 'n': 90, 'trace_an': 0}
-
id: 182641432
{'hecke_orbit_code': 526921156435946564, 'n': 91, 'trace_an': 0}
-
id: 182641433
{'hecke_orbit_code': 526921156435946564, 'n': 92, 'trace_an': 0}
-
id: 182641434
{'hecke_orbit_code': 526921156435946564, 'n': 93, 'trace_an': 0}
-
id: 182641435
{'hecke_orbit_code': 526921156435946564, 'n': 94, 'trace_an': 0}
-
id: 182641436
{'hecke_orbit_code': 526921156435946564, 'n': 95, 'trace_an': 0}
-
id: 182641437
{'hecke_orbit_code': 526921156435946564, 'n': 96, 'trace_an': 0}
-
id: 182641438
{'hecke_orbit_code': 526921156435946564, 'n': 97, 'trace_an': -10}
-
id: 182641439
{'hecke_orbit_code': 526921156435946564, 'n': 98, 'trace_an': 0}
-
id: 182641440
{'hecke_orbit_code': 526921156435946564, 'n': 99, 'trace_an': 0}
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id: 182641441
{'hecke_orbit_code': 526921156435946564, 'n': 100, 'trace_an': 0}