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mf_newforms • Show schema
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{'Nk2': 41216, 'analytic_conductor': 82.2778542427273, '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': [10304, 1, [9983, 645, 1473, 6721], [55, 55, 55, 55]], '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': 55, 'hecke_orbit_code': 243194379911571520, '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': '10304.2.a.cc', 'level': 10304, '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': '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': '10304.2.a', 'trace_display': [0, -2, -4, -3], 'traces': [3, 0, -2, 0, -4, 0, -3, 0, 7, 0, 4, 0, -2, 0, -12, 0, 8, 0, 0, 0, 2, 0, -3, 0, 5, 0, -8, 0, 10, 0, -2, 0, -12, 0, 4, 0, 10, 0, -8, 0, 6, 0, 4, 0, 0, 0, 2, 0, 3, 0, 0, 0, 2, 0, 4, 0, -20, 0, -6, 0, 8, 0, -7, 0, 12, 0, -4, 0, 2, 0, -28, 0, -6, 0, 46, 0, -4, 0, -20, 0, 3, 0, -28, 0, -16, 0, 32, 0, 0, 0, 2, 0, -4, 0, 20, 0, 16, 0, 44, 0], 'weight': 2, 'weight_parity': 1}
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label 10304.2.a.cc does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [30, 35, 38, 27, 36, 31, 28, 39], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [150, 160, 161, 156, 161, 150, 153, 158], 'Nk2': 41216, 'analytic_conductor': 82.2778542427273, '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': [10304, 1, [9983, 645, 1473, 6721], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1513, 'dim': 264, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_orbit_code': 33564736, '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, 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, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 9, 9, 11, 11, 12, 12], 'label': '10304.2.a', 'level': 10304, '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': 1560, 'mf_new_dim': 264, 'num_forms': 90, 'plus_dim': 116, 'prim_orbit_index': 1, 'relative_dim': 264, 'sturm_bound': 3072, 'trace_display': [0, 0, 0, 0], 'traces': [264, 0, 0, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 280, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 296, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 48, 0, 0, 0, 16, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 48, 0, 0, 0, 264, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -48, 0, 0, 0, 64, 0, 0, 0, -96, 0, 0, 0, 80, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 344, 0, 0, 0, 48, 0, 0, 0, -32, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 128, 0, 0, 0, -32, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 344, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 128, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, -80, 0, 0, 0, 224, 0, 0, 0, 344, 0, 0, 0, 224, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 128, 0, 0, 0, 176, 0, 0, 0, 48, 0, 0, 0, 32, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 264, 0, 0, 0, 128, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 432, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 480, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 160, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 264, 0, 0, 0, 128, 0, 0, 0, -16, 0, 0, 0, 272, 0, 0, 0, 112, 0, 0, 0, 256, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 64, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 64, 0, 0, 0, 384, 0, 0, 0, 128, 0, 0, 0, 96, 0, 0, 0, -80, 0, 0, 0, 160, 0, 0, 0, 264, 0, 0, 0, 208, 0, 0, 0, -256, 0, 0, 0, -192, 0, 0, 0, 128, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 320, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 32, 0, 0, 0, 16, 0, 0, 0, -96, 0, 0, 0, 192, 0, 0, 0, 160, 0, 0, 0, -272, 0, 0, 0, 288, 0, 0, 0, -80, 0, 0, 0, 480, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -80, 0, 0, 0, 48, 0, 0, 0, 8, 0, 0, 0, 384, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 384, 0, 0, 0, -160, 0, 0, 0, 128, 0, 0, 0, -176, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, -176, 0, 0, 0, 64, 0, 0, 0, -160, 0, 0, 0, 352, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 64, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -624, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 264, 0, 0, 0, 64, 0, 0, 0, -96, 0, 0, 0, -224, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, -416, 0, 0, 0, 80, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, -320, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 224, 0, 0, 0, 160, 0, 0, 0, 208, 0, 0, 0, 416, 0, 0, 0, 368, 0, 0, 0, 16, 0, 0, 0, -176, 0, 0, 0, 344, 0, 0, 0, -288, 0, 0, 0, -32, 0, 0, 0, -336, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, -224, 0, 0, 0, -48, 0, 0, 0, -336, 0, 0, 0, 144, 0, 0, 0, -736, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, -96, 0, 0, 0, -384, 0, 0, 0, 256, 0, 0, 0, 624, 0, 0, 0, -160, 0, 0, 0, 160, 0, 0, 0, 224, 0, 0, 0, -480, 0, 0, 0, 144, 0, 0, 0, 48, 0, 0, 0, -16, 0, 0, 0, -576, 0, 0, 0, 0, 0, 0, 0, 496, 0, 0, 0, -80, 0, 0, 0, 96, 0, 0, 0, 328, 0, 0, 0, 416, 0, 0, 0, 192, 0, 0, 0, 192, 0, 0, 0, 80, 0, 0, 0, 384, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, -112, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 10304.2.a.cc does not appear in mf_twists_nf
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hecke_orbit_code 243194379911571520 does not appear in mf_hecke_charpolys
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label 10304.2.a.cc does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
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id: 174346842
{'hecke_orbit_code': 243194379911571520, 'n': 1, 'trace_an': 3}
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id: 174346843
{'hecke_orbit_code': 243194379911571520, 'n': 2, 'trace_an': 0}
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id: 174346844
{'hecke_orbit_code': 243194379911571520, 'n': 3, 'trace_an': -2}
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id: 174346845
{'hecke_orbit_code': 243194379911571520, 'n': 4, 'trace_an': 0}
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id: 174346846
{'hecke_orbit_code': 243194379911571520, 'n': 5, 'trace_an': -4}
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id: 174346847
{'hecke_orbit_code': 243194379911571520, 'n': 6, 'trace_an': 0}
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id: 174346848
{'hecke_orbit_code': 243194379911571520, 'n': 7, 'trace_an': -3}
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id: 174346849
{'hecke_orbit_code': 243194379911571520, 'n': 8, 'trace_an': 0}
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id: 174346850
{'hecke_orbit_code': 243194379911571520, 'n': 9, 'trace_an': 7}
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id: 174346851
{'hecke_orbit_code': 243194379911571520, 'n': 10, 'trace_an': 0}
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id: 174346852
{'hecke_orbit_code': 243194379911571520, 'n': 11, 'trace_an': 4}
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id: 174346853
{'hecke_orbit_code': 243194379911571520, 'n': 12, 'trace_an': 0}
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id: 174346854
{'hecke_orbit_code': 243194379911571520, 'n': 13, 'trace_an': -2}
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id: 174346855
{'hecke_orbit_code': 243194379911571520, 'n': 14, 'trace_an': 0}
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id: 174346856
{'hecke_orbit_code': 243194379911571520, 'n': 15, 'trace_an': -12}
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id: 174346857
{'hecke_orbit_code': 243194379911571520, 'n': 16, 'trace_an': 0}
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id: 174346858
{'hecke_orbit_code': 243194379911571520, 'n': 17, 'trace_an': 8}
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id: 174346859
{'hecke_orbit_code': 243194379911571520, 'n': 18, 'trace_an': 0}
-
id: 174346860
{'hecke_orbit_code': 243194379911571520, 'n': 19, 'trace_an': 0}
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id: 174346861
{'hecke_orbit_code': 243194379911571520, 'n': 20, 'trace_an': 0}
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id: 174346862
{'hecke_orbit_code': 243194379911571520, 'n': 21, 'trace_an': 2}
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id: 174346863
{'hecke_orbit_code': 243194379911571520, 'n': 22, 'trace_an': 0}
-
id: 174346864
{'hecke_orbit_code': 243194379911571520, 'n': 23, 'trace_an': -3}
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id: 174346865
{'hecke_orbit_code': 243194379911571520, 'n': 24, 'trace_an': 0}
-
id: 174346866
{'hecke_orbit_code': 243194379911571520, 'n': 25, 'trace_an': 5}
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id: 174346867
{'hecke_orbit_code': 243194379911571520, 'n': 26, 'trace_an': 0}
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id: 174346868
{'hecke_orbit_code': 243194379911571520, 'n': 27, 'trace_an': -8}
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id: 174346869
{'hecke_orbit_code': 243194379911571520, 'n': 28, 'trace_an': 0}
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id: 174346870
{'hecke_orbit_code': 243194379911571520, 'n': 29, 'trace_an': 10}
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id: 174346871
{'hecke_orbit_code': 243194379911571520, 'n': 30, 'trace_an': 0}
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id: 174346872
{'hecke_orbit_code': 243194379911571520, 'n': 31, 'trace_an': -2}
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id: 174346873
{'hecke_orbit_code': 243194379911571520, 'n': 32, 'trace_an': 0}
-
id: 174346874
{'hecke_orbit_code': 243194379911571520, 'n': 33, 'trace_an': -12}
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id: 174346875
{'hecke_orbit_code': 243194379911571520, 'n': 34, 'trace_an': 0}
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id: 174346876
{'hecke_orbit_code': 243194379911571520, 'n': 35, 'trace_an': 4}
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id: 174346877
{'hecke_orbit_code': 243194379911571520, 'n': 36, 'trace_an': 0}
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id: 174346878
{'hecke_orbit_code': 243194379911571520, 'n': 37, 'trace_an': 10}
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id: 174346879
{'hecke_orbit_code': 243194379911571520, 'n': 38, 'trace_an': 0}
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id: 174346880
{'hecke_orbit_code': 243194379911571520, 'n': 39, 'trace_an': -8}
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id: 174346881
{'hecke_orbit_code': 243194379911571520, 'n': 40, 'trace_an': 0}
-
id: 174346882
{'hecke_orbit_code': 243194379911571520, 'n': 41, 'trace_an': 6}
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id: 174346883
{'hecke_orbit_code': 243194379911571520, 'n': 42, 'trace_an': 0}
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id: 174346884
{'hecke_orbit_code': 243194379911571520, 'n': 43, 'trace_an': 4}
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id: 174346885
{'hecke_orbit_code': 243194379911571520, 'n': 44, 'trace_an': 0}
-
id: 174346886
{'hecke_orbit_code': 243194379911571520, 'n': 45, 'trace_an': 0}
-
id: 174346887
{'hecke_orbit_code': 243194379911571520, 'n': 46, 'trace_an': 0}
-
id: 174346888
{'hecke_orbit_code': 243194379911571520, 'n': 47, 'trace_an': 2}
-
id: 174346889
{'hecke_orbit_code': 243194379911571520, 'n': 48, 'trace_an': 0}
-
id: 174346890
{'hecke_orbit_code': 243194379911571520, 'n': 49, 'trace_an': 3}
-
id: 174346891
{'hecke_orbit_code': 243194379911571520, 'n': 50, 'trace_an': 0}
-
id: 174346892
{'hecke_orbit_code': 243194379911571520, 'n': 51, 'trace_an': 0}
-
id: 174346893
{'hecke_orbit_code': 243194379911571520, 'n': 52, 'trace_an': 0}
-
id: 174346894
{'hecke_orbit_code': 243194379911571520, 'n': 53, 'trace_an': 2}
-
id: 174346895
{'hecke_orbit_code': 243194379911571520, 'n': 54, 'trace_an': 0}
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id: 174346896
{'hecke_orbit_code': 243194379911571520, 'n': 55, 'trace_an': 4}
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id: 174346897
{'hecke_orbit_code': 243194379911571520, 'n': 56, 'trace_an': 0}
-
id: 174346898
{'hecke_orbit_code': 243194379911571520, 'n': 57, 'trace_an': -20}
-
id: 174346899
{'hecke_orbit_code': 243194379911571520, 'n': 58, 'trace_an': 0}
-
id: 174346900
{'hecke_orbit_code': 243194379911571520, 'n': 59, 'trace_an': -6}
-
id: 174346901
{'hecke_orbit_code': 243194379911571520, 'n': 60, 'trace_an': 0}
-
id: 174346902
{'hecke_orbit_code': 243194379911571520, 'n': 61, 'trace_an': 8}
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id: 174346903
{'hecke_orbit_code': 243194379911571520, 'n': 62, 'trace_an': 0}
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id: 174346904
{'hecke_orbit_code': 243194379911571520, 'n': 63, 'trace_an': -7}
-
id: 174346905
{'hecke_orbit_code': 243194379911571520, 'n': 64, 'trace_an': 0}
-
id: 174346906
{'hecke_orbit_code': 243194379911571520, 'n': 65, 'trace_an': 12}
-
id: 174346907
{'hecke_orbit_code': 243194379911571520, 'n': 66, 'trace_an': 0}
-
id: 174346908
{'hecke_orbit_code': 243194379911571520, 'n': 67, 'trace_an': -4}
-
id: 174346909
{'hecke_orbit_code': 243194379911571520, 'n': 68, 'trace_an': 0}
-
id: 174346910
{'hecke_orbit_code': 243194379911571520, 'n': 69, 'trace_an': 2}
-
id: 174346911
{'hecke_orbit_code': 243194379911571520, 'n': 70, 'trace_an': 0}
-
id: 174346912
{'hecke_orbit_code': 243194379911571520, 'n': 71, 'trace_an': -28}
-
id: 174346913
{'hecke_orbit_code': 243194379911571520, 'n': 72, 'trace_an': 0}
-
id: 174346914
{'hecke_orbit_code': 243194379911571520, 'n': 73, 'trace_an': -6}
-
id: 174346915
{'hecke_orbit_code': 243194379911571520, 'n': 74, 'trace_an': 0}
-
id: 174346916
{'hecke_orbit_code': 243194379911571520, 'n': 75, 'trace_an': 46}
-
id: 174346917
{'hecke_orbit_code': 243194379911571520, 'n': 76, 'trace_an': 0}
-
id: 174346918
{'hecke_orbit_code': 243194379911571520, 'n': 77, 'trace_an': -4}
-
id: 174346919
{'hecke_orbit_code': 243194379911571520, 'n': 78, 'trace_an': 0}
-
id: 174346920
{'hecke_orbit_code': 243194379911571520, 'n': 79, 'trace_an': -20}
-
id: 174346921
{'hecke_orbit_code': 243194379911571520, 'n': 80, 'trace_an': 0}
-
id: 174346922
{'hecke_orbit_code': 243194379911571520, 'n': 81, 'trace_an': 3}
-
id: 174346923
{'hecke_orbit_code': 243194379911571520, 'n': 82, 'trace_an': 0}
-
id: 174346924
{'hecke_orbit_code': 243194379911571520, 'n': 83, 'trace_an': -28}
-
id: 174346925
{'hecke_orbit_code': 243194379911571520, 'n': 84, 'trace_an': 0}
-
id: 174346926
{'hecke_orbit_code': 243194379911571520, 'n': 85, 'trace_an': -16}
-
id: 174346927
{'hecke_orbit_code': 243194379911571520, 'n': 86, 'trace_an': 0}
-
id: 174346928
{'hecke_orbit_code': 243194379911571520, 'n': 87, 'trace_an': 32}
-
id: 174346929
{'hecke_orbit_code': 243194379911571520, 'n': 88, 'trace_an': 0}
-
id: 174346930
{'hecke_orbit_code': 243194379911571520, 'n': 89, 'trace_an': 0}
-
id: 174346931
{'hecke_orbit_code': 243194379911571520, 'n': 90, 'trace_an': 0}
-
id: 174346932
{'hecke_orbit_code': 243194379911571520, 'n': 91, 'trace_an': 2}
-
id: 174346933
{'hecke_orbit_code': 243194379911571520, 'n': 92, 'trace_an': 0}
-
id: 174346934
{'hecke_orbit_code': 243194379911571520, 'n': 93, 'trace_an': -4}
-
id: 174346935
{'hecke_orbit_code': 243194379911571520, 'n': 94, 'trace_an': 0}
-
id: 174346936
{'hecke_orbit_code': 243194379911571520, 'n': 95, 'trace_an': 20}
-
id: 174346937
{'hecke_orbit_code': 243194379911571520, 'n': 96, 'trace_an': 0}
-
id: 174346938
{'hecke_orbit_code': 243194379911571520, 'n': 97, 'trace_an': 16}
-
id: 174346939
{'hecke_orbit_code': 243194379911571520, 'n': 98, 'trace_an': 0}
-
id: 174346940
{'hecke_orbit_code': 243194379911571520, 'n': 99, 'trace_an': 44}
-
id: 174346941
{'hecke_orbit_code': 243194379911571520, 'n': 100, 'trace_an': 0}