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mf_newforms • Show schema
Hide schema
{'Nk2': 139392, 'analytic_conductor': 278.2626809637579, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [11, -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': [34848, 1, [32671, 4357, 19361, 14401], [119, 119, 119, 119]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 3, 'field_disc_factorization': [[3, 1]], 'field_poly': [2, -4, -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': 119, 'hecke_orbit_code': 531424756063307808, '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': '34848.2.a.eo', 'level': 34848, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 11], 'level_radical': 66, 'nf_label': '3.3.316.1', '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': '34848.2.a', 'trace_display': [0, 0, 0, -1], 'traces': [3, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -5, 0, 0, 0, -6, 0, -1, 0, 0, 0, 4, 0, 5, 0, 0, 0, 6, 0, -11, 0, 0, 0, -2, 0, -4, 0, 0, 0, 0, 0, 12, 0, 0, 0, -8, 0, 0, 0, 0, 0, 18, 0, -1, 0, 0, 0, -14, 0, 13, 0, 0, 0, 6, 0, 1, 0, 0, 0, 0, 0, -31, 0, 0, 0, 12, 0, 22, 0, 0, 0, 0, 0, -6, 0, 0, 0, 22, 0, 15, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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label 34848.2.a.eo does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [54, 55, 83, 80, 54, 55, 79, 85], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [47, 48, 48, 48, 48, 48, 48, 48], 'ALdims_old': [703, 721, 685, 688, 726, 705, 689, 683], 'Nk2': 139392, 'analytic_conductor': 278.2626809637579, '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': [34848, 1, [32671, 4357, 19361, 14401], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 6145, 'dim': 545, 'eis_dim': 383, 'eis_new_dim': 0, 'hecke_orbit_code': 33589280, '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, 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, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 12, 12, 12, 12], 'label': '34848.2.a', 'level': 34848, 'level_is_powerful': True, '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, 11], 'level_radical': 66, 'mf_dim': 6528, 'mf_new_dim': 545, 'num_forms': 191, 'plus_dim': 268, 'prim_orbit_index': 1, 'relative_dim': 545, 'sturm_bound': 12672, 'trace_display': [0, 0, -2, 0], 'traces': [545, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 543, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 26, 0, 0, 0, 0, 0, 0, 0, 537, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 42, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 50, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 26, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, -34, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 527, 0, 0, 0, -58, 0, 0, 0, 0, 0, 0, 0, -82, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 34, 0, 0, 0, -98, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, -38, 0, 0, 0, 0, 0, 0, 0, -22, 0, 0, 0, -114, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 22, 0, 0, 0, 0, 0, 0, 0, 46, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 443, 0, 0, 0, 46, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, -140, 0, 0, 0, 0, 0, 0, 0, -86, 0, 0, 0, -90, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -82, 0, 0, 0, 50, 0, 0, 0, 0, 0, 0, 0, 565, 0, 0, 0, 140, 0, 0, 0, 0, 0, 0, 0, 70, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -66, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -162, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 34, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, -94, 0, 0, 0, 0, 0, 0, 0, 146, 0, 0, 0, 38, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 164, 0, 0, 0, -156, 0, 0, 0, 0, 0, 0, 0, -84, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 140, 0, 0, 0, -50, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -118, 0, 0, 0, 0, 0, 0, 0, 601, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, -26, 0, 0, 0, 132, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, -260, 0, 0, 0, 186, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 210, 0, 0, 0, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -26, 0, 0, 0, -70, 0, 0, 0, 0, 0, 0, 0, 661, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, -122, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -114, 0, 0, 0, 0, 0, 0, 0, 86, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, -78, 0, 0, 0, -210, 0, 0, 0, 0, 0, 0, 0, -124, 0, 0, 0, -76, 0, 0, 0, 0, 0, 0, 0, 220, 0, 0, 0, -202, 0, 0, 0, 0, 0, 0, 0, -362, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -230, 0, 0, 0, 0, 0, 0, 0, 150, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, -194, 0, 0, 0, -22, 0, 0, 0, 0, 0, 0, 0, 82, 0, 0, 0, -154, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, 0, -186, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 26, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 86, 0, 0, 0, -142, 0, 0, 0, 0, 0, 0, 0, 727, 0, 0, 0, -630, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, -326, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 142, 0, 0, 0, 162, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 340, 0, 0, 0, 132, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -270, 0, 0, 0, -94, 0, 0, 0, 0, 0, 0, 0, 74, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, -52, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 481, 0, 0, 0, 172, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 170, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 400, 0, 0, 0, 0, 0, 0, 0, 54, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 34848.2.a.eo does not appear in mf_twists_nf
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hecke_orbit_code 531424756063307808 does not appear in mf_hecke_charpolys
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label 34848.2.a.eo does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 182675442
{'hecke_orbit_code': 531424756063307808, 'n': 1, 'trace_an': 3}
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id: 182675443
{'hecke_orbit_code': 531424756063307808, 'n': 2, 'trace_an': 0}
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id: 182675444
{'hecke_orbit_code': 531424756063307808, 'n': 3, 'trace_an': 0}
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id: 182675445
{'hecke_orbit_code': 531424756063307808, 'n': 4, 'trace_an': 0}
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id: 182675446
{'hecke_orbit_code': 531424756063307808, 'n': 5, 'trace_an': 0}
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id: 182675447
{'hecke_orbit_code': 531424756063307808, 'n': 6, 'trace_an': 0}
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id: 182675448
{'hecke_orbit_code': 531424756063307808, 'n': 7, 'trace_an': -1}
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id: 182675449
{'hecke_orbit_code': 531424756063307808, 'n': 8, 'trace_an': 0}
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id: 182675450
{'hecke_orbit_code': 531424756063307808, 'n': 9, 'trace_an': 0}
-
id: 182675451
{'hecke_orbit_code': 531424756063307808, 'n': 10, 'trace_an': 0}
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id: 182675452
{'hecke_orbit_code': 531424756063307808, 'n': 11, 'trace_an': 0}
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id: 182675453
{'hecke_orbit_code': 531424756063307808, 'n': 12, 'trace_an': 0}
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id: 182675454
{'hecke_orbit_code': 531424756063307808, 'n': 13, 'trace_an': 0}
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id: 182675455
{'hecke_orbit_code': 531424756063307808, 'n': 14, 'trace_an': 0}
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id: 182675456
{'hecke_orbit_code': 531424756063307808, 'n': 15, 'trace_an': 0}
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id: 182675457
{'hecke_orbit_code': 531424756063307808, 'n': 16, 'trace_an': 0}
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id: 182675458
{'hecke_orbit_code': 531424756063307808, 'n': 17, 'trace_an': -2}
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id: 182675459
{'hecke_orbit_code': 531424756063307808, 'n': 18, 'trace_an': 0}
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id: 182675460
{'hecke_orbit_code': 531424756063307808, 'n': 19, 'trace_an': -5}
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id: 182675461
{'hecke_orbit_code': 531424756063307808, 'n': 20, 'trace_an': 0}
-
id: 182675462
{'hecke_orbit_code': 531424756063307808, 'n': 21, 'trace_an': 0}
-
id: 182675463
{'hecke_orbit_code': 531424756063307808, 'n': 22, 'trace_an': 0}
-
id: 182675464
{'hecke_orbit_code': 531424756063307808, 'n': 23, 'trace_an': -6}
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id: 182675465
{'hecke_orbit_code': 531424756063307808, 'n': 24, 'trace_an': 0}
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id: 182675466
{'hecke_orbit_code': 531424756063307808, 'n': 25, 'trace_an': -1}
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id: 182675467
{'hecke_orbit_code': 531424756063307808, 'n': 26, 'trace_an': 0}
-
id: 182675468
{'hecke_orbit_code': 531424756063307808, 'n': 27, 'trace_an': 0}
-
id: 182675469
{'hecke_orbit_code': 531424756063307808, 'n': 28, 'trace_an': 0}
-
id: 182675470
{'hecke_orbit_code': 531424756063307808, 'n': 29, 'trace_an': 4}
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id: 182675471
{'hecke_orbit_code': 531424756063307808, 'n': 30, 'trace_an': 0}
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id: 182675472
{'hecke_orbit_code': 531424756063307808, 'n': 31, 'trace_an': 5}
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id: 182675473
{'hecke_orbit_code': 531424756063307808, 'n': 32, 'trace_an': 0}
-
id: 182675474
{'hecke_orbit_code': 531424756063307808, 'n': 33, 'trace_an': 0}
-
id: 182675475
{'hecke_orbit_code': 531424756063307808, 'n': 34, 'trace_an': 0}
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id: 182675476
{'hecke_orbit_code': 531424756063307808, 'n': 35, 'trace_an': 6}
-
id: 182675477
{'hecke_orbit_code': 531424756063307808, 'n': 36, 'trace_an': 0}
-
id: 182675478
{'hecke_orbit_code': 531424756063307808, 'n': 37, 'trace_an': -11}
-
id: 182675479
{'hecke_orbit_code': 531424756063307808, 'n': 38, 'trace_an': 0}
-
id: 182675480
{'hecke_orbit_code': 531424756063307808, 'n': 39, 'trace_an': 0}
-
id: 182675481
{'hecke_orbit_code': 531424756063307808, 'n': 40, 'trace_an': 0}
-
id: 182675482
{'hecke_orbit_code': 531424756063307808, 'n': 41, 'trace_an': -2}
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id: 182675483
{'hecke_orbit_code': 531424756063307808, 'n': 42, 'trace_an': 0}
-
id: 182675484
{'hecke_orbit_code': 531424756063307808, 'n': 43, 'trace_an': -4}
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id: 182675485
{'hecke_orbit_code': 531424756063307808, 'n': 44, 'trace_an': 0}
-
id: 182675486
{'hecke_orbit_code': 531424756063307808, 'n': 45, 'trace_an': 0}
-
id: 182675487
{'hecke_orbit_code': 531424756063307808, 'n': 46, 'trace_an': 0}
-
id: 182675488
{'hecke_orbit_code': 531424756063307808, 'n': 47, 'trace_an': 0}
-
id: 182675489
{'hecke_orbit_code': 531424756063307808, 'n': 48, 'trace_an': 0}
-
id: 182675490
{'hecke_orbit_code': 531424756063307808, 'n': 49, 'trace_an': 12}
-
id: 182675491
{'hecke_orbit_code': 531424756063307808, 'n': 50, 'trace_an': 0}
-
id: 182675492
{'hecke_orbit_code': 531424756063307808, 'n': 51, 'trace_an': 0}
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id: 182675493
{'hecke_orbit_code': 531424756063307808, 'n': 52, 'trace_an': 0}
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id: 182675494
{'hecke_orbit_code': 531424756063307808, 'n': 53, 'trace_an': -8}
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id: 182675495
{'hecke_orbit_code': 531424756063307808, 'n': 54, 'trace_an': 0}
-
id: 182675496
{'hecke_orbit_code': 531424756063307808, 'n': 55, 'trace_an': 0}
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id: 182675497
{'hecke_orbit_code': 531424756063307808, 'n': 56, 'trace_an': 0}
-
id: 182675498
{'hecke_orbit_code': 531424756063307808, 'n': 57, 'trace_an': 0}
-
id: 182675499
{'hecke_orbit_code': 531424756063307808, 'n': 58, 'trace_an': 0}
-
id: 182675500
{'hecke_orbit_code': 531424756063307808, 'n': 59, 'trace_an': 18}
-
id: 182675501
{'hecke_orbit_code': 531424756063307808, 'n': 60, 'trace_an': 0}
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id: 182675502
{'hecke_orbit_code': 531424756063307808, 'n': 61, 'trace_an': -1}
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id: 182675503
{'hecke_orbit_code': 531424756063307808, 'n': 62, 'trace_an': 0}
-
id: 182675504
{'hecke_orbit_code': 531424756063307808, 'n': 63, 'trace_an': 0}
-
id: 182675505
{'hecke_orbit_code': 531424756063307808, 'n': 64, 'trace_an': 0}
-
id: 182675506
{'hecke_orbit_code': 531424756063307808, 'n': 65, 'trace_an': -14}
-
id: 182675507
{'hecke_orbit_code': 531424756063307808, 'n': 66, 'trace_an': 0}
-
id: 182675508
{'hecke_orbit_code': 531424756063307808, 'n': 67, 'trace_an': 13}
-
id: 182675509
{'hecke_orbit_code': 531424756063307808, 'n': 68, 'trace_an': 0}
-
id: 182675510
{'hecke_orbit_code': 531424756063307808, 'n': 69, 'trace_an': 0}
-
id: 182675511
{'hecke_orbit_code': 531424756063307808, 'n': 70, 'trace_an': 0}
-
id: 182675512
{'hecke_orbit_code': 531424756063307808, 'n': 71, 'trace_an': 6}
-
id: 182675513
{'hecke_orbit_code': 531424756063307808, 'n': 72, 'trace_an': 0}
-
id: 182675514
{'hecke_orbit_code': 531424756063307808, 'n': 73, 'trace_an': 1}
-
id: 182675515
{'hecke_orbit_code': 531424756063307808, 'n': 74, 'trace_an': 0}
-
id: 182675516
{'hecke_orbit_code': 531424756063307808, 'n': 75, 'trace_an': 0}
-
id: 182675517
{'hecke_orbit_code': 531424756063307808, 'n': 76, 'trace_an': 0}
-
id: 182675518
{'hecke_orbit_code': 531424756063307808, 'n': 77, 'trace_an': 0}
-
id: 182675519
{'hecke_orbit_code': 531424756063307808, 'n': 78, 'trace_an': 0}
-
id: 182675520
{'hecke_orbit_code': 531424756063307808, 'n': 79, 'trace_an': -31}
-
id: 182675521
{'hecke_orbit_code': 531424756063307808, 'n': 80, 'trace_an': 0}
-
id: 182675522
{'hecke_orbit_code': 531424756063307808, 'n': 81, 'trace_an': 0}
-
id: 182675523
{'hecke_orbit_code': 531424756063307808, 'n': 82, 'trace_an': 0}
-
id: 182675524
{'hecke_orbit_code': 531424756063307808, 'n': 83, 'trace_an': 12}
-
id: 182675525
{'hecke_orbit_code': 531424756063307808, 'n': 84, 'trace_an': 0}
-
id: 182675526
{'hecke_orbit_code': 531424756063307808, 'n': 85, 'trace_an': 22}
-
id: 182675527
{'hecke_orbit_code': 531424756063307808, 'n': 86, 'trace_an': 0}
-
id: 182675528
{'hecke_orbit_code': 531424756063307808, 'n': 87, 'trace_an': 0}
-
id: 182675529
{'hecke_orbit_code': 531424756063307808, 'n': 88, 'trace_an': 0}
-
id: 182675530
{'hecke_orbit_code': 531424756063307808, 'n': 89, 'trace_an': 0}
-
id: 182675531
{'hecke_orbit_code': 531424756063307808, 'n': 90, 'trace_an': 0}
-
id: 182675532
{'hecke_orbit_code': 531424756063307808, 'n': 91, 'trace_an': -6}
-
id: 182675533
{'hecke_orbit_code': 531424756063307808, 'n': 92, 'trace_an': 0}
-
id: 182675534
{'hecke_orbit_code': 531424756063307808, 'n': 93, 'trace_an': 0}
-
id: 182675535
{'hecke_orbit_code': 531424756063307808, 'n': 94, 'trace_an': 0}
-
id: 182675536
{'hecke_orbit_code': 531424756063307808, 'n': 95, 'trace_an': 22}
-
id: 182675537
{'hecke_orbit_code': 531424756063307808, 'n': 96, 'trace_an': 0}
-
id: 182675538
{'hecke_orbit_code': 531424756063307808, 'n': 97, 'trace_an': 15}
-
id: 182675539
{'hecke_orbit_code': 531424756063307808, 'n': 98, 'trace_an': 0}
-
id: 182675540
{'hecke_orbit_code': 531424756063307808, 'n': 99, 'trace_an': 0}
-
id: 182675541
{'hecke_orbit_code': 531424756063307808, 'n': 100, 'trace_an': 0}