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mf_newforms • Show schema
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{'Nk2': 116480, 'analytic_conductor': 232.52437068596848, 'atkin_lehner_eigenvals': [[2, -1], [5, -1], [7, 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': [29120, 1, [8191, 12741, 23297, 4161, 22401], [48, 48, 48, 48, 48]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [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': 48, 'hecke_orbit_code': 211669182519996864, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, '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': '29120.2.a.bv', 'level': 29120, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7, 13], 'level_radical': 910, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+q^{5}-q^{7}-2q^{9}-3q^{11}-q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/29120/bv'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '29120.2.a', 'trace_display': [0, 1, 1, -1], 'traces': [1, 0, 1, 0, 1, 0, -1, 0, -2, 0, -3, 0, -1, 0, 1, 0, -6, 0, 2, 0, -1, 0, 3, 0, 1, 0, -5, 0, 6, 0, 7, 0, -3, 0, -1, 0, -5, 0, -1, 0, 9, 0, 2, 0, -2, 0, 9, 0, 1, 0, -6, 0, 0, 0, -3, 0, 2, 0, 0, 0, 13, 0, 2, 0, -1, 0, -13, 0, 3, 0, -12, 0, -13, 0, 1, 0, 3, 0, -5, 0, 1, 0, 6, 0, -6, 0, 6, 0, 18, 0, 1, 0, 7, 0, 2, 0, 5, 0, 6, 0], 'weight': 2, 'weight_parity': 1}
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label 29120.2.a.bv does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [35, 36, 41, 32, 36, 35, 32, 41, 37, 36, 31, 40, 36, 37, 40, 31], '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': [283, 307, 308, 291, 307, 294, 291, 296, 302, 297, 296, 293, 297, 290, 293, 308], 'Nk2': 116480, 'analytic_conductor': 232.52437068596848, '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': [29120, 1, [8191, 12741, 23297, 4161, 22401], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 5329, 'dim': 576, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_orbit_code': 33583552, '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, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 13, 13], 'label': '29120.2.a', 'level': 29120, '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, 7, 13], 'level_radical': 910, 'mf_dim': 5424, 'mf_new_dim': 576, 'num_forms': 172, 'plus_dim': 268, 'prim_orbit_index': 1, 'relative_dim': 576, 'sturm_bound': 10752, 'trace_display': [0, 0, 0, 0], 'traces': [576, 0, 0, 0, 0, 0, 0, 0, 576, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 576, 0, 0, 0, -32, 0, 0, 0, -64, 0, 0, 0, -32, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 576, 0, 0, 0, -32, 0, 0, 0, -64, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 512, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 640, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 576, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -32, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 576, 0, 0, 0, -64, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, -192, 0, 0, 0, -64, 0, 0, 0, -160, 0, 0, 0, 128, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 64, 0, 0, 0, -64, 0, 0, 0, 512, 0, 0, 0, 192, 0, 0, 0, -128, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 160, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 704, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 576, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, -32, 0, 0, 0, 128, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 576, 0, 0, 0, 128, 0, 0, 0, 320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 384, 0, 0, 0, 320, 0, 0, 0, 0, 0, 0, 0, 832, 0, 0, 0, 0, 0, 0, 0, 320, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 64, 0, 0, 0, 160, 0, 0, 0, 256, 0, 0, 0, -256, 0, 0, 0, 192, 0, 0, 0, 384, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 576, 0, 0, 0, 192, 0, 0, 0, 320, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 448, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -128, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 384, 0, 0, 0, 192, 0, 0, 0, 512, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 64, 0, 0, 0, -32, 0, 0, 0, -192, 0, 0, 0, -256, 0, 0, 0, 128, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 384, 0, 0, 0, -320, 0, 0, 0, 544, 0, 0, 0, -64, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 640, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 384, 0, 0, 0, 64, 0, 0, 0, 384, 0, 0, 0, 128, 0, 0, 0, -64, 0, 0, 0, 256, 0, 0, 0, 32, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 576, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -448, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, -32, 0, 0, 0, -128, 0, 0, 0, 768, 0, 0, 0, -384, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 576, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 256, 0, 0, 0, -256, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 29120.2.a.bv does not appear in mf_twists_nf
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hecke_orbit_code 211669182519996864 does not appear in mf_hecke_charpolys
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label 29120.2.a.bv does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 172377442
{'hecke_orbit_code': 211669182519996864, 'n': 1, 'trace_an': 1}
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id: 172377443
{'hecke_orbit_code': 211669182519996864, 'n': 2, 'trace_an': 0}
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id: 172377444
{'hecke_orbit_code': 211669182519996864, 'n': 3, 'trace_an': 1}
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id: 172377445
{'hecke_orbit_code': 211669182519996864, 'n': 4, 'trace_an': 0}
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id: 172377446
{'hecke_orbit_code': 211669182519996864, 'n': 5, 'trace_an': 1}
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id: 172377447
{'hecke_orbit_code': 211669182519996864, 'n': 6, 'trace_an': 0}
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id: 172377448
{'hecke_orbit_code': 211669182519996864, 'n': 7, 'trace_an': -1}
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id: 172377449
{'hecke_orbit_code': 211669182519996864, 'n': 8, 'trace_an': 0}
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id: 172377450
{'hecke_orbit_code': 211669182519996864, 'n': 9, 'trace_an': -2}
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id: 172377451
{'hecke_orbit_code': 211669182519996864, 'n': 10, 'trace_an': 0}
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id: 172377452
{'hecke_orbit_code': 211669182519996864, 'n': 11, 'trace_an': -3}
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id: 172377453
{'hecke_orbit_code': 211669182519996864, 'n': 12, 'trace_an': 0}
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id: 172377454
{'hecke_orbit_code': 211669182519996864, 'n': 13, 'trace_an': -1}
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id: 172377455
{'hecke_orbit_code': 211669182519996864, 'n': 14, 'trace_an': 0}
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id: 172377456
{'hecke_orbit_code': 211669182519996864, 'n': 15, 'trace_an': 1}
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id: 172377457
{'hecke_orbit_code': 211669182519996864, 'n': 16, 'trace_an': 0}
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id: 172377458
{'hecke_orbit_code': 211669182519996864, 'n': 17, 'trace_an': -6}
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id: 172377459
{'hecke_orbit_code': 211669182519996864, 'n': 18, 'trace_an': 0}
-
id: 172377460
{'hecke_orbit_code': 211669182519996864, 'n': 19, 'trace_an': 2}
-
id: 172377461
{'hecke_orbit_code': 211669182519996864, 'n': 20, 'trace_an': 0}
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id: 172377462
{'hecke_orbit_code': 211669182519996864, 'n': 21, 'trace_an': -1}
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id: 172377463
{'hecke_orbit_code': 211669182519996864, 'n': 22, 'trace_an': 0}
-
id: 172377464
{'hecke_orbit_code': 211669182519996864, 'n': 23, 'trace_an': 3}
-
id: 172377465
{'hecke_orbit_code': 211669182519996864, 'n': 24, 'trace_an': 0}
-
id: 172377466
{'hecke_orbit_code': 211669182519996864, 'n': 25, 'trace_an': 1}
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id: 172377467
{'hecke_orbit_code': 211669182519996864, 'n': 26, 'trace_an': 0}
-
id: 172377468
{'hecke_orbit_code': 211669182519996864, 'n': 27, 'trace_an': -5}
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id: 172377469
{'hecke_orbit_code': 211669182519996864, 'n': 28, 'trace_an': 0}
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id: 172377470
{'hecke_orbit_code': 211669182519996864, 'n': 29, 'trace_an': 6}
-
id: 172377471
{'hecke_orbit_code': 211669182519996864, 'n': 30, 'trace_an': 0}
-
id: 172377472
{'hecke_orbit_code': 211669182519996864, 'n': 31, 'trace_an': 7}
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id: 172377473
{'hecke_orbit_code': 211669182519996864, 'n': 32, 'trace_an': 0}
-
id: 172377474
{'hecke_orbit_code': 211669182519996864, 'n': 33, 'trace_an': -3}
-
id: 172377475
{'hecke_orbit_code': 211669182519996864, 'n': 34, 'trace_an': 0}
-
id: 172377476
{'hecke_orbit_code': 211669182519996864, 'n': 35, 'trace_an': -1}
-
id: 172377477
{'hecke_orbit_code': 211669182519996864, 'n': 36, 'trace_an': 0}
-
id: 172377478
{'hecke_orbit_code': 211669182519996864, 'n': 37, 'trace_an': -5}
-
id: 172377479
{'hecke_orbit_code': 211669182519996864, 'n': 38, 'trace_an': 0}
-
id: 172377480
{'hecke_orbit_code': 211669182519996864, 'n': 39, 'trace_an': -1}
-
id: 172377481
{'hecke_orbit_code': 211669182519996864, 'n': 40, 'trace_an': 0}
-
id: 172377482
{'hecke_orbit_code': 211669182519996864, 'n': 41, 'trace_an': 9}
-
id: 172377483
{'hecke_orbit_code': 211669182519996864, 'n': 42, 'trace_an': 0}
-
id: 172377484
{'hecke_orbit_code': 211669182519996864, 'n': 43, 'trace_an': 2}
-
id: 172377485
{'hecke_orbit_code': 211669182519996864, 'n': 44, 'trace_an': 0}
-
id: 172377486
{'hecke_orbit_code': 211669182519996864, 'n': 45, 'trace_an': -2}
-
id: 172377487
{'hecke_orbit_code': 211669182519996864, 'n': 46, 'trace_an': 0}
-
id: 172377488
{'hecke_orbit_code': 211669182519996864, 'n': 47, 'trace_an': 9}
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id: 172377489
{'hecke_orbit_code': 211669182519996864, 'n': 48, 'trace_an': 0}
-
id: 172377490
{'hecke_orbit_code': 211669182519996864, 'n': 49, 'trace_an': 1}
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id: 172377491
{'hecke_orbit_code': 211669182519996864, 'n': 50, 'trace_an': 0}
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id: 172377492
{'hecke_orbit_code': 211669182519996864, 'n': 51, 'trace_an': -6}
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id: 172377493
{'hecke_orbit_code': 211669182519996864, 'n': 52, 'trace_an': 0}
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id: 172377494
{'hecke_orbit_code': 211669182519996864, 'n': 53, 'trace_an': 0}
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id: 172377495
{'hecke_orbit_code': 211669182519996864, 'n': 54, 'trace_an': 0}
-
id: 172377496
{'hecke_orbit_code': 211669182519996864, 'n': 55, 'trace_an': -3}
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id: 172377497
{'hecke_orbit_code': 211669182519996864, 'n': 56, 'trace_an': 0}
-
id: 172377498
{'hecke_orbit_code': 211669182519996864, 'n': 57, 'trace_an': 2}
-
id: 172377499
{'hecke_orbit_code': 211669182519996864, 'n': 58, 'trace_an': 0}
-
id: 172377500
{'hecke_orbit_code': 211669182519996864, 'n': 59, 'trace_an': 0}
-
id: 172377501
{'hecke_orbit_code': 211669182519996864, 'n': 60, 'trace_an': 0}
-
id: 172377502
{'hecke_orbit_code': 211669182519996864, 'n': 61, 'trace_an': 13}
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id: 172377503
{'hecke_orbit_code': 211669182519996864, 'n': 62, 'trace_an': 0}
-
id: 172377504
{'hecke_orbit_code': 211669182519996864, 'n': 63, 'trace_an': 2}
-
id: 172377505
{'hecke_orbit_code': 211669182519996864, 'n': 64, 'trace_an': 0}
-
id: 172377506
{'hecke_orbit_code': 211669182519996864, 'n': 65, 'trace_an': -1}
-
id: 172377507
{'hecke_orbit_code': 211669182519996864, 'n': 66, 'trace_an': 0}
-
id: 172377508
{'hecke_orbit_code': 211669182519996864, 'n': 67, 'trace_an': -13}
-
id: 172377509
{'hecke_orbit_code': 211669182519996864, 'n': 68, 'trace_an': 0}
-
id: 172377510
{'hecke_orbit_code': 211669182519996864, 'n': 69, 'trace_an': 3}
-
id: 172377511
{'hecke_orbit_code': 211669182519996864, 'n': 70, 'trace_an': 0}
-
id: 172377512
{'hecke_orbit_code': 211669182519996864, 'n': 71, 'trace_an': -12}
-
id: 172377513
{'hecke_orbit_code': 211669182519996864, 'n': 72, 'trace_an': 0}
-
id: 172377514
{'hecke_orbit_code': 211669182519996864, 'n': 73, 'trace_an': -13}
-
id: 172377515
{'hecke_orbit_code': 211669182519996864, 'n': 74, 'trace_an': 0}
-
id: 172377516
{'hecke_orbit_code': 211669182519996864, 'n': 75, 'trace_an': 1}
-
id: 172377517
{'hecke_orbit_code': 211669182519996864, 'n': 76, 'trace_an': 0}
-
id: 172377518
{'hecke_orbit_code': 211669182519996864, 'n': 77, 'trace_an': 3}
-
id: 172377519
{'hecke_orbit_code': 211669182519996864, 'n': 78, 'trace_an': 0}
-
id: 172377520
{'hecke_orbit_code': 211669182519996864, 'n': 79, 'trace_an': -5}
-
id: 172377521
{'hecke_orbit_code': 211669182519996864, 'n': 80, 'trace_an': 0}
-
id: 172377522
{'hecke_orbit_code': 211669182519996864, 'n': 81, 'trace_an': 1}
-
id: 172377523
{'hecke_orbit_code': 211669182519996864, 'n': 82, 'trace_an': 0}
-
id: 172377524
{'hecke_orbit_code': 211669182519996864, 'n': 83, 'trace_an': 6}
-
id: 172377525
{'hecke_orbit_code': 211669182519996864, 'n': 84, 'trace_an': 0}
-
id: 172377526
{'hecke_orbit_code': 211669182519996864, 'n': 85, 'trace_an': -6}
-
id: 172377527
{'hecke_orbit_code': 211669182519996864, 'n': 86, 'trace_an': 0}
-
id: 172377528
{'hecke_orbit_code': 211669182519996864, 'n': 87, 'trace_an': 6}
-
id: 172377529
{'hecke_orbit_code': 211669182519996864, 'n': 88, 'trace_an': 0}
-
id: 172377530
{'hecke_orbit_code': 211669182519996864, 'n': 89, 'trace_an': 18}
-
id: 172377531
{'hecke_orbit_code': 211669182519996864, 'n': 90, 'trace_an': 0}
-
id: 172377532
{'hecke_orbit_code': 211669182519996864, 'n': 91, 'trace_an': 1}
-
id: 172377533
{'hecke_orbit_code': 211669182519996864, 'n': 92, 'trace_an': 0}
-
id: 172377534
{'hecke_orbit_code': 211669182519996864, 'n': 93, 'trace_an': 7}
-
id: 172377535
{'hecke_orbit_code': 211669182519996864, 'n': 94, 'trace_an': 0}
-
id: 172377536
{'hecke_orbit_code': 211669182519996864, 'n': 95, 'trace_an': 2}
-
id: 172377537
{'hecke_orbit_code': 211669182519996864, 'n': 96, 'trace_an': 0}
-
id: 172377538
{'hecke_orbit_code': 211669182519996864, 'n': 97, 'trace_an': 5}
-
id: 172377539
{'hecke_orbit_code': 211669182519996864, 'n': 98, 'trace_an': 0}
-
id: 172377540
{'hecke_orbit_code': 211669182519996864, 'n': 99, 'trace_an': 6}
-
id: 172377541
{'hecke_orbit_code': 211669182519996864, 'n': 100, 'trace_an': 0}