-
mf_newforms • Show schema
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{'Nk2': 72128, 'analytic_conductor': 143.9862449247728, 'atkin_lehner_eigenvals': [[2, -1], [7, -1], [23, 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': [18032, 1, [2255, 13525, 1473, 1569], [53, 53, 53, 53]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 4, 'field_disc_factorization': [[2, 2]], 'field_poly': [3, 6, -6, -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': 53, 'hecke_orbit_code': 234187180656838256, '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': '18032.2.a.ca', 'level': 18032, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 23], 'level_radical': 322, 'nf_label': '4.4.14013.1', 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '18032.2.a', 'trace_display': [0, -5, 5, 0], 'traces': [4, 0, -5, 0, 5, 0, 0, 0, 7, 0, 2, 0, 7, 0, -1, 0, -3, 0, -9, 0, 0, 0, -4, 0, 11, 0, -17, 0, -2, 0, -14, 0, -13, 0, 0, 0, 0, 0, 1, 0, 15, 0, 18, 0, 11, 0, -21, 0, 0, 0, -6, 0, -3, 0, 10, 0, -9, 0, -16, 0, 1, 0, 0, 0, 2, 0, 17, 0, 5, 0, 1, 0, 4, 0, -22, 0, 0, 0, -5, 0, 16, 0, -4, 0, -54, 0, 25, 0, 9, 0, 0, 0, 13, 0, 3, 0, -40, 0, 41, 0], 'weight': 2, 'weight_parity': 1}
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label 18032.2.a.ca does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [56, 56, 57, 57, 60, 48, 54, 63], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [11, 12, 12, 12, 12, 12, 12, 12], 'ALdims_old': [257, 292, 291, 255, 264, 288, 282, 261], 'Nk2': 72128, 'analytic_conductor': 143.9862449247728, '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': [18032, 1, [2255, 13525, 1473, 1569], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 2641, 'dim': 451, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_orbit_code': 33572464, '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, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 8, 10, 11, 11, 11, 11, 11, 11, 11, 11, 14, 14, 18, 18], 'label': '18032.2.a', 'level': 18032, '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, 7, 23], 'level_radical': 322, 'mf_dim': 2736, 'mf_new_dim': 451, 'num_forms': 105, 'plus_dim': 215, 'prim_orbit_index': 1, 'relative_dim': 451, 'sturm_bound': 5376, 'trace_display': [0, -2, -2, 0], 'traces': [451, 0, -2, 0, -2, 0, 0, 0, 447, 0, 0, 0, -2, 0, 0, 0, -2, 0, -4, 0, 0, 0, -3, 0, 461, 0, -14, 0, -2, 0, -10, 0, 8, 0, 0, 0, -10, 0, -42, 0, 6, 0, -32, 0, -10, 0, 22, 0, 0, 0, -4, 0, 6, 0, -8, 0, -8, 0, -8, 0, -2, 0, 0, 0, 12, 0, 8, 0, 0, 0, -22, 0, -2, 0, -94, 0, 0, 0, -28, 0, 443, 0, 20, 0, -12, 0, -22, 0, 6, 0, 0, 0, 12, 0, -40, 0, -26, 0, -56, 0, 10, 0, 4, 0, 0, 0, -28, 0, -10, 0, -40, 0, 38, 0, -6, 0, -22, 0, 0, 0, 431, 0, 34, 0, -60, 0, -2, 0, 32, 0, -82, 0, 0, 0, -72, 0, 22, 0, -38, 0, -12, 0, -56, 0, 20, 0, 0, 0, -34, 0, 138, 0, 46, 0, -8, 0, 22, 0, -44, 0, 0, 0, 126, 0, 40, 0, -60, 0, 453, 0, 0, 0, 26, 0, 0, 0, 8, 0, 6, 0, 22, 0, 268, 0, 28, 0, 8, 0, 0, 0, -24, 0, -26, 0, -32, 0, -130, 0, 24, 0, -48, 0, 0, 0, -68, 0, -9, 0, -24, 0, 140, 0, 4, 0, 56, 0, 0, 0, 86, 0, -100, 0, 28, 0, 489, 0, 68, 0, -34, 0, 0, 0, -18, 0, 80, 0, -32, 0, -70, 0, -10, 0, -24, 0, 0, 0, 172, 0, 32, 0, 20, 0, 0, 0, -24, 0, 46, 0, 0, 0, 2, 0, 4, 0, 52, 0, 88, 0, -82, 0, 4, 0, 0, 0, -88, 0, -10, 0, 88, 0, 6, 0, 80, 0, 80, 0, 0, 0, 481, 0, 132, 0, 46, 0, 16, 0, 80, 0, -24, 0, 0, 0, -108, 0, 36, 0, -72, 0, 48, 0, 86, 0, -18, 0, 0, 0, -6, 0, 8, 0, -48, 0, 8, 0, -6, 0, 32, 0, 0, 0, -58, 0, 86, 0, 32, 0, 62, 0, 20, 0, -48, 0, 0, 0, 0, 0, 108, 0, -122, 0, -38, 0, 30, 0, 32, 0, 0, 0, 44, 0, 415, 0, 62, 0, -28, 0, -92, 0, 46, 0, 0, 0, -82, 0, 128, 0, 92, 0, -24, 0, 92, 0, -80, 0, 0, 0, -224, 0, 70, 0, 14, 0, -136, 0, -48, 0, -58, 0, 0, 0, -82, 0, 106, 0, 118, 0, -104, 0, -18, 0, 56, 0, 0, 0, 0, 0, -104, 0, -8, 0, -66, 0, 112, 0, 26, 0, 0, 0, 136, 0, -112, 0, -98, 0, 16, 0, 0, 0, 34, 0, 0, 0, -30, 0, 12, 0, 124, 0, 110, 0, -112, 0, 140, 0, 0, 0, -2, 0, -4, 0, 54, 0, -80, 0, 40, 0, 124, 0, 0, 0, 88, 0, -56, 0, 148, 0, -82, 0, 92, 0, -12, 0, 0, 0, -140, 0, 102, 0, 80, 0, 214, 0, -28, 0, -152, 0, 0, 0, 18, 0, 32, 0, 116, 0, -20, 0, 96, 0, 22, 0, 0, 0, -88, 0, -112, 0, 80, 0, 156, 0, 78, 0, -84, 0, 0, 0, 116, 0, 451, 0, 112, 0, 72, 0, 8, 0, 56, 0, 0, 0, 22, 0, 144, 0, 52, 0, 14, 0, 30, 0, 44, 0, 0, 0, 112, 0, -114, 0, -32, 0, -88, 0, -40, 0, -92, 0, 0, 0, -26, 0, -20, 0, 32, 0, -21, 0, 38, 0, 102, 0, 0, 0, -160, 0, 76, 0, -2, 0, 80, 0, 50, 0, 150, 0, 0, 0, -32, 0, 96, 0, 78, 0, -104, 0, 126, 0, -12, 0, 0, 0, 58, 0, 6, 0, -24, 0, -122, 0, 0, 0, 12, 0, 0, 0, 631, 0, 160, 0, 84, 0, 80, 0, 216, 0, 136, 0, 0, 0, 12, 0, -26, 0, -96, 0, -16, 0, 230, 0, 64, 0, 0, 0, 70, 0, 200, 0, 30, 0, 180, 0, -90, 0, -12, 0, 0, 0, 12, 0, 8, 0, 144, 0, -18, 0, -114, 0, -66, 0, 0, 0, -168, 0, 134, 0, -36, 0, 240, 0, 28, 0, 80, 0, 0, 0, 88, 0, 132, 0, 34, 0, -50, 0, -232, 0, 72, 0, 0, 0, -90, 0, 304, 0, -8, 0, -144, 0, -60, 0, 60, 0, 0, 0, 328, 0, 42, 0, -208, 0, 399, 0, -40, 0, -10, 0, 0, 0, 64, 0, -114, 0, 128, 0, 36, 0, 116, 0, 208, 0, 0, 0, 112, 0, -160, 0, 384, 0, 14, 0, 24, 0, -106, 0, 0, 0, 28, 0, -8, 0, -90, 0, 18, 0, 70, 0, -70, 0, 0, 0, 180, 0, 8, 0, -90, 0, 20, 0, 112, 0, -128, 0, 0, 0, -12, 0, 24, 0, -42, 0, 20, 0, 38, 0, 120, 0, 0, 0, 234, 0, 198, 0, 38, 0, 48, 0, 104, 0, 8, 0, 0, 0, 90, 0, 314, 0, -64, 0, -32, 0, 74, 0, -94, 0, 0, 0, -168, 0, -60, 0, 212, 0, 501, 0, -172, 0, 26, 0, 0, 0, -32, 0, 30, 0, -38, 0, 8, 0, -66, 0, -2, 0, 0, 0, -26, 0, 124, 0, 202, 0, -96, 0, -208, 0, -18, 0, 0, 0, -6, 0, -200, 0, -50, 0, 132, 0, -32, 0, 166, 0, 0, 0, 32, 0, -48, 0, 0, 0, 24, 0, -58, 0, -100, 0, 0, 0, 76, 0, 44, 0, 58, 0, -324, 0, -64, 0, 80, 0, 0, 0, -156, 0, -136, 0, -62, 0, -270, 0, -152, 0, -42, 0, 0, 0, 4, 0, 168, 0, -42, 0, -80, 0, -242, 0, 16, 0, 0, 0, 114, 0, -136, 0, 228, 0, 62, 0, -48, 0, 0, 0, 0, 0, 531, 0, -160, 0, 172, 0, 110, 0, -80, 0, -68, 0, 0, 0, 250, 0, 6, 0, -128, 0, -34, 0, -140, 0, 132, 0, 0, 0, 0, 0, -184, 0, -184, 0, 272, 0, 50, 0, -144, 0], 'weight': 2, 'weight_parity': 1}
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source_label 18032.2.a.ca does not appear in mf_twists_nf
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hecke_orbit_code 234187180656838256 does not appear in mf_hecke_charpolys
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label 18032.2.a.ca does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 173833342
{'hecke_orbit_code': 234187180656838256, 'n': 1, 'trace_an': 4}
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id: 173833343
{'hecke_orbit_code': 234187180656838256, 'n': 2, 'trace_an': 0}
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id: 173833344
{'hecke_orbit_code': 234187180656838256, 'n': 3, 'trace_an': -5}
-
id: 173833345
{'hecke_orbit_code': 234187180656838256, 'n': 4, 'trace_an': 0}
-
id: 173833346
{'hecke_orbit_code': 234187180656838256, 'n': 5, 'trace_an': 5}
-
id: 173833347
{'hecke_orbit_code': 234187180656838256, 'n': 6, 'trace_an': 0}
-
id: 173833348
{'hecke_orbit_code': 234187180656838256, 'n': 7, 'trace_an': 0}
-
id: 173833349
{'hecke_orbit_code': 234187180656838256, 'n': 8, 'trace_an': 0}
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id: 173833350
{'hecke_orbit_code': 234187180656838256, 'n': 9, 'trace_an': 7}
-
id: 173833351
{'hecke_orbit_code': 234187180656838256, 'n': 10, 'trace_an': 0}
-
id: 173833352
{'hecke_orbit_code': 234187180656838256, 'n': 11, 'trace_an': 2}
-
id: 173833353
{'hecke_orbit_code': 234187180656838256, 'n': 12, 'trace_an': 0}
-
id: 173833354
{'hecke_orbit_code': 234187180656838256, 'n': 13, 'trace_an': 7}
-
id: 173833355
{'hecke_orbit_code': 234187180656838256, 'n': 14, 'trace_an': 0}
-
id: 173833356
{'hecke_orbit_code': 234187180656838256, 'n': 15, 'trace_an': -1}
-
id: 173833357
{'hecke_orbit_code': 234187180656838256, 'n': 16, 'trace_an': 0}
-
id: 173833358
{'hecke_orbit_code': 234187180656838256, 'n': 17, 'trace_an': -3}
-
id: 173833359
{'hecke_orbit_code': 234187180656838256, 'n': 18, 'trace_an': 0}
-
id: 173833360
{'hecke_orbit_code': 234187180656838256, 'n': 19, 'trace_an': -9}
-
id: 173833361
{'hecke_orbit_code': 234187180656838256, 'n': 20, 'trace_an': 0}
-
id: 173833362
{'hecke_orbit_code': 234187180656838256, 'n': 21, 'trace_an': 0}
-
id: 173833363
{'hecke_orbit_code': 234187180656838256, 'n': 22, 'trace_an': 0}
-
id: 173833364
{'hecke_orbit_code': 234187180656838256, 'n': 23, 'trace_an': -4}
-
id: 173833365
{'hecke_orbit_code': 234187180656838256, 'n': 24, 'trace_an': 0}
-
id: 173833366
{'hecke_orbit_code': 234187180656838256, 'n': 25, 'trace_an': 11}
-
id: 173833367
{'hecke_orbit_code': 234187180656838256, 'n': 26, 'trace_an': 0}
-
id: 173833368
{'hecke_orbit_code': 234187180656838256, 'n': 27, 'trace_an': -17}
-
id: 173833369
{'hecke_orbit_code': 234187180656838256, 'n': 28, 'trace_an': 0}
-
id: 173833370
{'hecke_orbit_code': 234187180656838256, 'n': 29, 'trace_an': -2}
-
id: 173833371
{'hecke_orbit_code': 234187180656838256, 'n': 30, 'trace_an': 0}
-
id: 173833372
{'hecke_orbit_code': 234187180656838256, 'n': 31, 'trace_an': -14}
-
id: 173833373
{'hecke_orbit_code': 234187180656838256, 'n': 32, 'trace_an': 0}
-
id: 173833374
{'hecke_orbit_code': 234187180656838256, 'n': 33, 'trace_an': -13}
-
id: 173833375
{'hecke_orbit_code': 234187180656838256, 'n': 34, 'trace_an': 0}
-
id: 173833376
{'hecke_orbit_code': 234187180656838256, 'n': 35, 'trace_an': 0}
-
id: 173833377
{'hecke_orbit_code': 234187180656838256, 'n': 36, 'trace_an': 0}
-
id: 173833378
{'hecke_orbit_code': 234187180656838256, 'n': 37, 'trace_an': 0}
-
id: 173833379
{'hecke_orbit_code': 234187180656838256, 'n': 38, 'trace_an': 0}
-
id: 173833380
{'hecke_orbit_code': 234187180656838256, 'n': 39, 'trace_an': 1}
-
id: 173833381
{'hecke_orbit_code': 234187180656838256, 'n': 40, 'trace_an': 0}
-
id: 173833382
{'hecke_orbit_code': 234187180656838256, 'n': 41, 'trace_an': 15}
-
id: 173833383
{'hecke_orbit_code': 234187180656838256, 'n': 42, 'trace_an': 0}
-
id: 173833384
{'hecke_orbit_code': 234187180656838256, 'n': 43, 'trace_an': 18}
-
id: 173833385
{'hecke_orbit_code': 234187180656838256, 'n': 44, 'trace_an': 0}
-
id: 173833386
{'hecke_orbit_code': 234187180656838256, 'n': 45, 'trace_an': 11}
-
id: 173833387
{'hecke_orbit_code': 234187180656838256, 'n': 46, 'trace_an': 0}
-
id: 173833388
{'hecke_orbit_code': 234187180656838256, 'n': 47, 'trace_an': -21}
-
id: 173833389
{'hecke_orbit_code': 234187180656838256, 'n': 48, 'trace_an': 0}
-
id: 173833390
{'hecke_orbit_code': 234187180656838256, 'n': 49, 'trace_an': 0}
-
id: 173833391
{'hecke_orbit_code': 234187180656838256, 'n': 50, 'trace_an': 0}
-
id: 173833392
{'hecke_orbit_code': 234187180656838256, 'n': 51, 'trace_an': -6}
-
id: 173833393
{'hecke_orbit_code': 234187180656838256, 'n': 52, 'trace_an': 0}
-
id: 173833394
{'hecke_orbit_code': 234187180656838256, 'n': 53, 'trace_an': -3}
-
id: 173833395
{'hecke_orbit_code': 234187180656838256, 'n': 54, 'trace_an': 0}
-
id: 173833396
{'hecke_orbit_code': 234187180656838256, 'n': 55, 'trace_an': 10}
-
id: 173833397
{'hecke_orbit_code': 234187180656838256, 'n': 56, 'trace_an': 0}
-
id: 173833398
{'hecke_orbit_code': 234187180656838256, 'n': 57, 'trace_an': -9}
-
id: 173833399
{'hecke_orbit_code': 234187180656838256, 'n': 58, 'trace_an': 0}
-
id: 173833400
{'hecke_orbit_code': 234187180656838256, 'n': 59, 'trace_an': -16}
-
id: 173833401
{'hecke_orbit_code': 234187180656838256, 'n': 60, 'trace_an': 0}
-
id: 173833402
{'hecke_orbit_code': 234187180656838256, 'n': 61, 'trace_an': 1}
-
id: 173833403
{'hecke_orbit_code': 234187180656838256, 'n': 62, 'trace_an': 0}
-
id: 173833404
{'hecke_orbit_code': 234187180656838256, 'n': 63, 'trace_an': 0}
-
id: 173833405
{'hecke_orbit_code': 234187180656838256, 'n': 64, 'trace_an': 0}
-
id: 173833406
{'hecke_orbit_code': 234187180656838256, 'n': 65, 'trace_an': 2}
-
id: 173833407
{'hecke_orbit_code': 234187180656838256, 'n': 66, 'trace_an': 0}
-
id: 173833408
{'hecke_orbit_code': 234187180656838256, 'n': 67, 'trace_an': 17}
-
id: 173833409
{'hecke_orbit_code': 234187180656838256, 'n': 68, 'trace_an': 0}
-
id: 173833410
{'hecke_orbit_code': 234187180656838256, 'n': 69, 'trace_an': 5}
-
id: 173833411
{'hecke_orbit_code': 234187180656838256, 'n': 70, 'trace_an': 0}
-
id: 173833412
{'hecke_orbit_code': 234187180656838256, 'n': 71, 'trace_an': 1}
-
id: 173833413
{'hecke_orbit_code': 234187180656838256, 'n': 72, 'trace_an': 0}
-
id: 173833414
{'hecke_orbit_code': 234187180656838256, 'n': 73, 'trace_an': 4}
-
id: 173833415
{'hecke_orbit_code': 234187180656838256, 'n': 74, 'trace_an': 0}
-
id: 173833416
{'hecke_orbit_code': 234187180656838256, 'n': 75, 'trace_an': -22}
-
id: 173833417
{'hecke_orbit_code': 234187180656838256, 'n': 76, 'trace_an': 0}
-
id: 173833418
{'hecke_orbit_code': 234187180656838256, 'n': 77, 'trace_an': 0}
-
id: 173833419
{'hecke_orbit_code': 234187180656838256, 'n': 78, 'trace_an': 0}
-
id: 173833420
{'hecke_orbit_code': 234187180656838256, 'n': 79, 'trace_an': -5}
-
id: 173833421
{'hecke_orbit_code': 234187180656838256, 'n': 80, 'trace_an': 0}
-
id: 173833422
{'hecke_orbit_code': 234187180656838256, 'n': 81, 'trace_an': 16}
-
id: 173833423
{'hecke_orbit_code': 234187180656838256, 'n': 82, 'trace_an': 0}
-
id: 173833424
{'hecke_orbit_code': 234187180656838256, 'n': 83, 'trace_an': -4}
-
id: 173833425
{'hecke_orbit_code': 234187180656838256, 'n': 84, 'trace_an': 0}
-
id: 173833426
{'hecke_orbit_code': 234187180656838256, 'n': 85, 'trace_an': -54}
-
id: 173833427
{'hecke_orbit_code': 234187180656838256, 'n': 86, 'trace_an': 0}
-
id: 173833428
{'hecke_orbit_code': 234187180656838256, 'n': 87, 'trace_an': 25}
-
id: 173833429
{'hecke_orbit_code': 234187180656838256, 'n': 88, 'trace_an': 0}
-
id: 173833430
{'hecke_orbit_code': 234187180656838256, 'n': 89, 'trace_an': 9}
-
id: 173833431
{'hecke_orbit_code': 234187180656838256, 'n': 90, 'trace_an': 0}
-
id: 173833432
{'hecke_orbit_code': 234187180656838256, 'n': 91, 'trace_an': 0}
-
id: 173833433
{'hecke_orbit_code': 234187180656838256, 'n': 92, 'trace_an': 0}
-
id: 173833434
{'hecke_orbit_code': 234187180656838256, 'n': 93, 'trace_an': 13}
-
id: 173833435
{'hecke_orbit_code': 234187180656838256, 'n': 94, 'trace_an': 0}
-
id: 173833436
{'hecke_orbit_code': 234187180656838256, 'n': 95, 'trace_an': 3}
-
id: 173833437
{'hecke_orbit_code': 234187180656838256, 'n': 96, 'trace_an': 0}
-
id: 173833438
{'hecke_orbit_code': 234187180656838256, 'n': 97, 'trace_an': -40}
-
id: 173833439
{'hecke_orbit_code': 234187180656838256, 'n': 98, 'trace_an': 0}
-
id: 173833440
{'hecke_orbit_code': 234187180656838256, 'n': 99, 'trace_an': 41}
-
id: 173833441
{'hecke_orbit_code': 234187180656838256, 'n': 100, 'trace_an': 0}