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mf_newforms • Show schema
Hide schema
{'Nk2': 41472, 'analytic_conductor': 82.7888968156635, 'atkin_lehner_eigenvals': [[2, 1], [3, -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': [10368, 1, [2431, 5509, 6401], [64, 64, 64]], 'cm_discs': [], 'conrey_index': 1, 'dim': 6, 'field_disc': 6, 'field_disc_factorization': [[2, 1], [3, 1]], 'field_poly': [-26, -8, 32, 10, -10, -2, 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': 64, 'hecke_orbit_code': 283726776557906048, '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': '10368.2.a.cl', 'level': 10368, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'nf_label': '6.6.31083264.1', 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '10368.2.a', 'trace_display': [0, 0, 4, 0], 'traces': [6, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 2, 0, 0, 0, 8, 0, -4, 0, 0, 0, -8, 0, 4, 0, 0, 0, 4, 0, -4, 0, 0, 0, -4, 0, 6, 0, 0, 0, 8, 0, 8, 0, 0, 0, -16, 0, 6, 0, 0, 0, 24, 0, 20, 0, 0, 0, 24, 0, -2, 0, 0, 0, 8, 0, -4, 0, 0, 0, -8, 0, 6, 0, 0, 0, 8, 0, 4, 0, 0, 0, 24, 0, 2, 0, 0, 0, 24, 0, 4, 0, 0, 0, -16, 0, 4, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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label 10368.2.a.cl does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [46, 50, 50, 46], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [47, 48, 48, 48], 'ALdims_old': [355, 362, 366, 358], 'Nk2': 41472, 'analytic_conductor': 82.7888968156635, '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': [10368, 1, [2431, 5509, 6401], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1633, 'dim': 192, 'eis_dim': 191, 'eis_new_dim': 0, 'hecke_orbit_code': 33564800, '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, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], 'label': '10368.2.a', 'level': 10368, '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], 'level_radical': 6, 'mf_dim': 1824, 'mf_new_dim': 192, 'num_forms': 64, 'plus_dim': 92, 'prim_orbit_index': 1, 'relative_dim': 192, 'sturm_bound': 3456, 'trace_display': [0, 0, 0, 0], 'traces': [192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -288, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 384, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 480, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 480, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 480, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 10368.2.a.cl does not appear in mf_twists_nf
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hecke_orbit_code 283726776557906048 does not appear in mf_hecke_charpolys
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label 10368.2.a.cl does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 176539642
{'hecke_orbit_code': 283726776557906048, 'n': 1, 'trace_an': 6}
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id: 176539643
{'hecke_orbit_code': 283726776557906048, 'n': 2, 'trace_an': 0}
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id: 176539644
{'hecke_orbit_code': 283726776557906048, 'n': 3, 'trace_an': 0}
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id: 176539645
{'hecke_orbit_code': 283726776557906048, 'n': 4, 'trace_an': 0}
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id: 176539646
{'hecke_orbit_code': 283726776557906048, 'n': 5, 'trace_an': 4}
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id: 176539647
{'hecke_orbit_code': 283726776557906048, 'n': 6, 'trace_an': 0}
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id: 176539648
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id: 176539649
{'hecke_orbit_code': 283726776557906048, 'n': 8, 'trace_an': 0}
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id: 176539650
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id: 176539651
{'hecke_orbit_code': 283726776557906048, 'n': 10, 'trace_an': 0}
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id: 176539652
{'hecke_orbit_code': 283726776557906048, 'n': 11, 'trace_an': 4}
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id: 176539653
{'hecke_orbit_code': 283726776557906048, 'n': 12, 'trace_an': 0}
-
id: 176539654
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-
id: 176539655
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id: 176539656
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-
id: 176539657
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id: 176539658
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-
id: 176539659
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id: 176539660
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-
id: 176539661
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-
id: 176539662
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-
id: 176539663
{'hecke_orbit_code': 283726776557906048, 'n': 22, 'trace_an': 0}
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id: 176539664
{'hecke_orbit_code': 283726776557906048, 'n': 23, 'trace_an': -8}
-
id: 176539665
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-
id: 176539666
{'hecke_orbit_code': 283726776557906048, 'n': 25, 'trace_an': 4}
-
id: 176539667
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-
id: 176539668
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-
id: 176539669
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-
id: 176539670
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-
id: 176539671
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id: 176539672
{'hecke_orbit_code': 283726776557906048, 'n': 31, 'trace_an': -4}
-
id: 176539673
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-
id: 176539674
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-
id: 176539675
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id: 176539676
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-
id: 176539677
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-
id: 176539678
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id: 176539679
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-
id: 176539680
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-
id: 176539681
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id: 176539682
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id: 176539683
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-
id: 176539684
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-
id: 176539685
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-
id: 176539686
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id: 176539687
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-
id: 176539688
{'hecke_orbit_code': 283726776557906048, 'n': 47, 'trace_an': -16}
-
id: 176539689
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-
id: 176539690
{'hecke_orbit_code': 283726776557906048, 'n': 49, 'trace_an': 6}
-
id: 176539691
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-
id: 176539692
{'hecke_orbit_code': 283726776557906048, 'n': 51, 'trace_an': 0}
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id: 176539693
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id: 176539694
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id: 176539695
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id: 176539696
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id: 176539697
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id: 176539698
{'hecke_orbit_code': 283726776557906048, 'n': 57, 'trace_an': 0}
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id: 176539699
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id: 176539700
{'hecke_orbit_code': 283726776557906048, 'n': 59, 'trace_an': 24}
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id: 176539701
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id: 176539702
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id: 176539703
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id: 176539704
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-
id: 176539705
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-
id: 176539706
{'hecke_orbit_code': 283726776557906048, 'n': 65, 'trace_an': 8}
-
id: 176539707
{'hecke_orbit_code': 283726776557906048, 'n': 66, 'trace_an': 0}
-
id: 176539708
{'hecke_orbit_code': 283726776557906048, 'n': 67, 'trace_an': -4}
-
id: 176539709
{'hecke_orbit_code': 283726776557906048, 'n': 68, 'trace_an': 0}
-
id: 176539710
{'hecke_orbit_code': 283726776557906048, 'n': 69, 'trace_an': 0}
-
id: 176539711
{'hecke_orbit_code': 283726776557906048, 'n': 70, 'trace_an': 0}
-
id: 176539712
{'hecke_orbit_code': 283726776557906048, 'n': 71, 'trace_an': -8}
-
id: 176539713
{'hecke_orbit_code': 283726776557906048, 'n': 72, 'trace_an': 0}
-
id: 176539714
{'hecke_orbit_code': 283726776557906048, 'n': 73, 'trace_an': 6}
-
id: 176539715
{'hecke_orbit_code': 283726776557906048, 'n': 74, 'trace_an': 0}
-
id: 176539716
{'hecke_orbit_code': 283726776557906048, 'n': 75, 'trace_an': 0}
-
id: 176539717
{'hecke_orbit_code': 283726776557906048, 'n': 76, 'trace_an': 0}
-
id: 176539718
{'hecke_orbit_code': 283726776557906048, 'n': 77, 'trace_an': 8}
-
id: 176539719
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-
id: 176539720
{'hecke_orbit_code': 283726776557906048, 'n': 79, 'trace_an': 4}
-
id: 176539721
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-
id: 176539722
{'hecke_orbit_code': 283726776557906048, 'n': 81, 'trace_an': 0}
-
id: 176539723
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-
id: 176539724
{'hecke_orbit_code': 283726776557906048, 'n': 83, 'trace_an': 24}
-
id: 176539725
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-
id: 176539726
{'hecke_orbit_code': 283726776557906048, 'n': 85, 'trace_an': 2}
-
id: 176539727
{'hecke_orbit_code': 283726776557906048, 'n': 86, 'trace_an': 0}
-
id: 176539728
{'hecke_orbit_code': 283726776557906048, 'n': 87, 'trace_an': 0}
-
id: 176539729
{'hecke_orbit_code': 283726776557906048, 'n': 88, 'trace_an': 0}
-
id: 176539730
{'hecke_orbit_code': 283726776557906048, 'n': 89, 'trace_an': 24}
-
id: 176539731
{'hecke_orbit_code': 283726776557906048, 'n': 90, 'trace_an': 0}
-
id: 176539732
{'hecke_orbit_code': 283726776557906048, 'n': 91, 'trace_an': 4}
-
id: 176539733
{'hecke_orbit_code': 283726776557906048, 'n': 92, 'trace_an': 0}
-
id: 176539734
{'hecke_orbit_code': 283726776557906048, 'n': 93, 'trace_an': 0}
-
id: 176539735
{'hecke_orbit_code': 283726776557906048, 'n': 94, 'trace_an': 0}
-
id: 176539736
{'hecke_orbit_code': 283726776557906048, 'n': 95, 'trace_an': -16}
-
id: 176539737
{'hecke_orbit_code': 283726776557906048, 'n': 96, 'trace_an': 0}
-
id: 176539738
{'hecke_orbit_code': 283726776557906048, 'n': 97, 'trace_an': 4}
-
id: 176539739
{'hecke_orbit_code': 283726776557906048, 'n': 98, 'trace_an': 0}
-
id: 176539740
{'hecke_orbit_code': 283726776557906048, 'n': 99, 'trace_an': 0}
-
id: 176539741
{'hecke_orbit_code': 283726776557906048, 'n': 100, 'trace_an': 0}