-
mf_newforms • Show schema
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{'Nk2': 57600, 'analytic_conductor': 114.98457891064375, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [5, -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': [14400, 1, [13951, 901, 6401, 577], [161, 161, 161, 161]], 'conrey_index': 1, 'dim': 4, 'field_disc': 4, 'field_disc_factorization': [[2, 2]], 'field_poly': [1, 0, -4, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 24, 'fricke_eigenval': -1, 'has_non_self_twist': -1, 'hecke_orbit': 161, 'hecke_orbit_code': 720575940412848192, 'inner_twist_count': -1, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'label': '14400.2.a.ge', 'level': 14400, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'nf_label': '4.4.2304.1', 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'space_label': '14400.2.a', 'trace_display': [0, 0, 0, 0], 'traces': [4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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label 14400.2.a.ge does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [17, 22, 27, 28, 19, 18, 26, 30], 'ALdims_eis_new': [0, 0, 1, 2, 0, 0, 1, 2], 'ALdims_eis_old': [35, 36, 35, 34, 36, 36, 35, 34], 'ALdims_old': [320, 322, 321, 312, 329, 322, 310, 314], 'Nk2': 57600, 'analytic_conductor': 114.98457891064375, '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': [14400, 1, [13951, 901, 6401, 577], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 2737, 'dim': 187, 'eis_dim': 287, 'eis_new_dim': 6, 'hecke_orbit_code': 33568832, '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, 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, 4, 4], 'label': '14400.2.a', 'level': 14400, '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], 'level_radical': 30, 'mf_dim': 3024, 'mf_new_dim': 193, 'num_forms': 162, 'plus_dim': 89, 'prim_orbit_index': 1, 'relative_dim': 187, 'sturm_bound': 5760, 'trace_display': [0, 0, 0, 0], 'traces': [187, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 171, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, -22, 0, 0, 0, 0, 0, 0, 0, 151, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -62, 0, 0, 0, 0, 0, 0, 0, 38, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 133, 0, 0, 0, -70, 0, 0, 0, 0, 0, 0, 0, 38, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -84, 0, 0, 0, 0, 0, 0, 0, -82, 0, 0, 0, 34, 0, 0, 0, 0, 0, 0, 0, -42, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 26, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -118, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -38, 0, 0, 0, 0, 0, 0, 0, 153, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 38, 0, 0, 0, -150, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 62, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 22, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 159, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -34, 0, 0, 0, 68, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 66, 0, 0, 0, 0, 0, 0, 0, -58, 0, 0, 0, 50, 0, 0, 0, 0, 0, 0, 0, 38, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 246, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 90, 0, 0, 0, 0, 0, 0, 0, 38, 0, 0, 0, 50, 0, 0, 0, 0, 0, 0, 0, 200, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 148, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 186, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 170, 0, 0, 0, 0, 0, 0, 0, 59, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 46, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 250, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 62, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 74, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 94, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -228, 0, 0, 0, 0, 0, 0, 0, 150, 0, 0, 0, 82, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, -54, 0, 0, 0, 0, 0, 0, 0, 150, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -130, 0, 0, 0, -110, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 140, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 98, 0, 0, 0, 0, 0, 0, 0, 78, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -26, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -200, 0, 0, 0, 0, 0, 0, 0, 62, 0, 0, 0, 122, 0, 0, 0, 0, 0, 0, 0, -34, 0, 0, 0, 66, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, -326, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -94, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 186, 0, 0, 0, 0, 0, 0, 0, -106, 0, 0, 0, -86, 0, 0, 0, 0, 0, 0, 0, 77, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 174, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 336, 0, 0, 0, 0, 0, 0, 0, -106, 0, 0, 0, 66, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, -220, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 58, 0, 0, 0, 0, 0, 0, 0, 118, 0, 0, 0, 66, 0, 0, 0, 0, 0, 0, 0, 244, 0, 0, 0, 34, 0, 0, 0, 0, 0, 0, 0, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 392, 0, 0, 0, 0, 0, 0, 0, 94, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 14400.2.a.ge does not appear in mf_twists_nf
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hecke_orbit_code 720575940412848192 does not appear in mf_hecke_charpolys
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label 14400.2.a.ge does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
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id: 184048442
{'hecke_orbit_code': 720575940412848192, 'n': 1, 'trace_an': 4}
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id: 184048443
{'hecke_orbit_code': 720575940412848192, 'n': 2, 'trace_an': 0}
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id: 184048444
{'hecke_orbit_code': 720575940412848192, 'n': 3, 'trace_an': 0}
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id: 184048445
{'hecke_orbit_code': 720575940412848192, 'n': 4, 'trace_an': 0}
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id: 184048446
{'hecke_orbit_code': 720575940412848192, 'n': 5, 'trace_an': 0}
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id: 184048447
{'hecke_orbit_code': 720575940412848192, 'n': 6, 'trace_an': 0}
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id: 184048448
{'hecke_orbit_code': 720575940412848192, 'n': 7, 'trace_an': 0}
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id: 184048449
{'hecke_orbit_code': 720575940412848192, 'n': 8, 'trace_an': 0}
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id: 184048450
{'hecke_orbit_code': 720575940412848192, 'n': 9, 'trace_an': 0}
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id: 184048451
{'hecke_orbit_code': 720575940412848192, 'n': 10, 'trace_an': 0}
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id: 184048452
{'hecke_orbit_code': 720575940412848192, 'n': 11, 'trace_an': 0}
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id: 184048453
{'hecke_orbit_code': 720575940412848192, 'n': 12, 'trace_an': 0}
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id: 184048454
{'hecke_orbit_code': 720575940412848192, 'n': 13, 'trace_an': 0}
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id: 184048455
{'hecke_orbit_code': 720575940412848192, 'n': 14, 'trace_an': 0}
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id: 184048456
{'hecke_orbit_code': 720575940412848192, 'n': 15, 'trace_an': 0}
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id: 184048457
{'hecke_orbit_code': 720575940412848192, 'n': 16, 'trace_an': 0}
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id: 184048458
{'hecke_orbit_code': 720575940412848192, 'n': 17, 'trace_an': 0}
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id: 184048459
{'hecke_orbit_code': 720575940412848192, 'n': 18, 'trace_an': 0}
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id: 184048460
{'hecke_orbit_code': 720575940412848192, 'n': 19, 'trace_an': 0}
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id: 184048461
{'hecke_orbit_code': 720575940412848192, 'n': 20, 'trace_an': 0}
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id: 184048462
{'hecke_orbit_code': 720575940412848192, 'n': 21, 'trace_an': 0}
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id: 184048463
{'hecke_orbit_code': 720575940412848192, 'n': 22, 'trace_an': 0}
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id: 184048464
{'hecke_orbit_code': 720575940412848192, 'n': 23, 'trace_an': -16}
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id: 184048465
{'hecke_orbit_code': 720575940412848192, 'n': 24, 'trace_an': 0}
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id: 184048466
{'hecke_orbit_code': 720575940412848192, 'n': 25, 'trace_an': 0}
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id: 184048467
{'hecke_orbit_code': 720575940412848192, 'n': 26, 'trace_an': 0}
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id: 184048468
{'hecke_orbit_code': 720575940412848192, 'n': 27, 'trace_an': 0}
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id: 184048469
{'hecke_orbit_code': 720575940412848192, 'n': 28, 'trace_an': 0}
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id: 184048470
{'hecke_orbit_code': 720575940412848192, 'n': 29, 'trace_an': 0}
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id: 184048471
{'hecke_orbit_code': 720575940412848192, 'n': 30, 'trace_an': 0}
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id: 184048472
{'hecke_orbit_code': 720575940412848192, 'n': 31, 'trace_an': 0}
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id: 184048473
{'hecke_orbit_code': 720575940412848192, 'n': 32, 'trace_an': 0}
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id: 184048474
{'hecke_orbit_code': 720575940412848192, 'n': 33, 'trace_an': 0}
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id: 184048475
{'hecke_orbit_code': 720575940412848192, 'n': 34, 'trace_an': 0}
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id: 184048476
{'hecke_orbit_code': 720575940412848192, 'n': 35, 'trace_an': 0}
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id: 184048477
{'hecke_orbit_code': 720575940412848192, 'n': 36, 'trace_an': 0}
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id: 184048478
{'hecke_orbit_code': 720575940412848192, 'n': 37, 'trace_an': 0}
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id: 184048479
{'hecke_orbit_code': 720575940412848192, 'n': 38, 'trace_an': 0}
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id: 184048480
{'hecke_orbit_code': 720575940412848192, 'n': 39, 'trace_an': 0}
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id: 184048481
{'hecke_orbit_code': 720575940412848192, 'n': 40, 'trace_an': 0}
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id: 184048482
{'hecke_orbit_code': 720575940412848192, 'n': 41, 'trace_an': 0}
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id: 184048483
{'hecke_orbit_code': 720575940412848192, 'n': 42, 'trace_an': 0}
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id: 184048484
{'hecke_orbit_code': 720575940412848192, 'n': 43, 'trace_an': 0}
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id: 184048485
{'hecke_orbit_code': 720575940412848192, 'n': 44, 'trace_an': 0}
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id: 184048486
{'hecke_orbit_code': 720575940412848192, 'n': 45, 'trace_an': 0}
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id: 184048487
{'hecke_orbit_code': 720575940412848192, 'n': 46, 'trace_an': 0}
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id: 184048488
{'hecke_orbit_code': 720575940412848192, 'n': 47, 'trace_an': -16}
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id: 184048489
{'hecke_orbit_code': 720575940412848192, 'n': 48, 'trace_an': 0}
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id: 184048490
{'hecke_orbit_code': 720575940412848192, 'n': 49, 'trace_an': 4}
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id: 184048491
{'hecke_orbit_code': 720575940412848192, 'n': 50, 'trace_an': 0}
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id: 184048492
{'hecke_orbit_code': 720575940412848192, 'n': 51, 'trace_an': 0}
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id: 184048493
{'hecke_orbit_code': 720575940412848192, 'n': 52, 'trace_an': 0}
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id: 184048494
{'hecke_orbit_code': 720575940412848192, 'n': 53, 'trace_an': 0}
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id: 184048495
{'hecke_orbit_code': 720575940412848192, 'n': 54, 'trace_an': 0}
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id: 184048496
{'hecke_orbit_code': 720575940412848192, 'n': 55, 'trace_an': 0}
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id: 184048497
{'hecke_orbit_code': 720575940412848192, 'n': 56, 'trace_an': 0}
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id: 184048498
{'hecke_orbit_code': 720575940412848192, 'n': 57, 'trace_an': 0}
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id: 184048499
{'hecke_orbit_code': 720575940412848192, 'n': 58, 'trace_an': 0}
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id: 184048500
{'hecke_orbit_code': 720575940412848192, 'n': 59, 'trace_an': 0}
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id: 184048501
{'hecke_orbit_code': 720575940412848192, 'n': 60, 'trace_an': 0}
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id: 184048502
{'hecke_orbit_code': 720575940412848192, 'n': 61, 'trace_an': 24}
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id: 184048503
{'hecke_orbit_code': 720575940412848192, 'n': 62, 'trace_an': 0}
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id: 184048504
{'hecke_orbit_code': 720575940412848192, 'n': 63, 'trace_an': 0}
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id: 184048505
{'hecke_orbit_code': 720575940412848192, 'n': 64, 'trace_an': 0}
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id: 184048506
{'hecke_orbit_code': 720575940412848192, 'n': 65, 'trace_an': 0}
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id: 184048507
{'hecke_orbit_code': 720575940412848192, 'n': 66, 'trace_an': 0}
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id: 184048508
{'hecke_orbit_code': 720575940412848192, 'n': 67, 'trace_an': 0}
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id: 184048509
{'hecke_orbit_code': 720575940412848192, 'n': 68, 'trace_an': 0}
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id: 184048510
{'hecke_orbit_code': 720575940412848192, 'n': 69, 'trace_an': 0}
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id: 184048511
{'hecke_orbit_code': 720575940412848192, 'n': 70, 'trace_an': 0}
-
id: 184048512
{'hecke_orbit_code': 720575940412848192, 'n': 71, 'trace_an': 0}
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id: 184048513
{'hecke_orbit_code': 720575940412848192, 'n': 72, 'trace_an': 0}
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id: 184048514
{'hecke_orbit_code': 720575940412848192, 'n': 73, 'trace_an': 0}
-
id: 184048515
{'hecke_orbit_code': 720575940412848192, 'n': 74, 'trace_an': 0}
-
id: 184048516
{'hecke_orbit_code': 720575940412848192, 'n': 75, 'trace_an': 0}
-
id: 184048517
{'hecke_orbit_code': 720575940412848192, 'n': 76, 'trace_an': 0}
-
id: 184048518
{'hecke_orbit_code': 720575940412848192, 'n': 77, 'trace_an': 0}
-
id: 184048519
{'hecke_orbit_code': 720575940412848192, 'n': 78, 'trace_an': 0}
-
id: 184048520
{'hecke_orbit_code': 720575940412848192, 'n': 79, 'trace_an': 0}
-
id: 184048521
{'hecke_orbit_code': 720575940412848192, 'n': 80, 'trace_an': 0}
-
id: 184048522
{'hecke_orbit_code': 720575940412848192, 'n': 81, 'trace_an': 0}
-
id: 184048523
{'hecke_orbit_code': 720575940412848192, 'n': 82, 'trace_an': 0}
-
id: 184048524
{'hecke_orbit_code': 720575940412848192, 'n': 83, 'trace_an': 64}
-
id: 184048525
{'hecke_orbit_code': 720575940412848192, 'n': 84, 'trace_an': 0}
-
id: 184048526
{'hecke_orbit_code': 720575940412848192, 'n': 85, 'trace_an': 0}
-
id: 184048527
{'hecke_orbit_code': 720575940412848192, 'n': 86, 'trace_an': 0}
-
id: 184048528
{'hecke_orbit_code': 720575940412848192, 'n': 87, 'trace_an': 0}
-
id: 184048529
{'hecke_orbit_code': 720575940412848192, 'n': 88, 'trace_an': 0}
-
id: 184048530
{'hecke_orbit_code': 720575940412848192, 'n': 89, 'trace_an': 0}
-
id: 184048531
{'hecke_orbit_code': 720575940412848192, 'n': 90, 'trace_an': 0}
-
id: 184048532
{'hecke_orbit_code': 720575940412848192, 'n': 91, 'trace_an': 0}
-
id: 184048533
{'hecke_orbit_code': 720575940412848192, 'n': 92, 'trace_an': 0}
-
id: 184048534
{'hecke_orbit_code': 720575940412848192, 'n': 93, 'trace_an': 0}
-
id: 184048535
{'hecke_orbit_code': 720575940412848192, 'n': 94, 'trace_an': 0}
-
id: 184048536
{'hecke_orbit_code': 720575940412848192, 'n': 95, 'trace_an': 0}
-
id: 184048537
{'hecke_orbit_code': 720575940412848192, 'n': 96, 'trace_an': 0}
-
id: 184048538
{'hecke_orbit_code': 720575940412848192, 'n': 97, 'trace_an': 0}
-
id: 184048539
{'hecke_orbit_code': 720575940412848192, 'n': 98, 'trace_an': 0}
-
id: 184048540
{'hecke_orbit_code': 720575940412848192, 'n': 99, 'trace_an': 0}
-
id: 184048541
{'hecke_orbit_code': 720575940412848192, 'n': 100, 'trace_an': 0}