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mf_newforms • Show schema
Hide schema
{'Nk2': 112896, 'analytic_conductor': 225.36977466486175, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [7, -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': [28224, 1, [20287, 15877, 21953, 4609], [101, 101, 101, 101]], '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': 101, 'hecke_orbit_code': 450359962770632256, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': -1, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'label': '28224.2.a.dw', 'level': 28224, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+4q^{11}-8q^{23}-5q^{25}+2q^{29}+\\cdots', 'related_objects': ['EllipticCurve/Q/28224/dw'], 'relative_dim': 1, 'rm_discs': [], 'space_label': '28224.2.a', 'trace_display': [0, 0, 0, 0], 'traces': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, -5, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 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 28224.2.a.dw does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [36, 45, 61, 60, 44, 39, 57, 63], 'ALdims_eis_new': [0, 0, 2, 3, 0, 0, 2, 3], 'ALdims_eis_old': [47, 48, 46, 45, 48, 48, 46, 45], 'ALdims_old': [605, 611, 595, 580, 612, 601, 583, 593], 'Nk2': 112896, 'analytic_conductor': 225.36977466486175, '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': [28224, 1, [20287, 15877, 21953, 4609], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 5185, 'dim': 405, 'eis_dim': 383, 'eis_new_dim': 10, 'hecke_orbit_code': 33582656, '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, 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, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], 'label': '28224.2.a', 'level': 28224, '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, 7], 'level_radical': 42, 'mf_dim': 5568, 'mf_new_dim': 415, 'num_forms': 272, 'plus_dim': 192, 'prim_orbit_index': 1, 'relative_dim': 405, 'sturm_bound': 10752, 'trace_display': [0, 0, 2, 0], 'traces': [405, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 391, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, -26, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 22, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 389, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, -78, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 323, 0, 0, 0, -70, 0, 0, 0, 0, 0, 0, 0, -82, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 22, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -76, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 26, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -46, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, -50, 0, 0, 0, 22, 0, 0, 0, 0, 0, 0, 0, 363, 0, 0, 0, -126, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, -86, 0, 0, 0, 0, 0, 0, 0, -38, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 42, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -74, 0, 0, 0, 50, 0, 0, 0, 0, 0, 0, 0, 381, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 126, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -78, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 34, 0, 0, 0, 0, 0, 0, 0, 62, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -182, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 126, 0, 0, 0, 0, 0, 0, 0, 110, 0, 0, 0, -150, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 228, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 74, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 122, 0, 0, 0, 0, 0, 0, 0, 361, 0, 0, 0, -260, 0, 0, 0, 0, 0, 0, 0, 150, 0, 0, 0, -76, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 90, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 118, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 300, 0, 0, 0, 66, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 42, 0, 0, 0, 0, 0, 0, 0, 414, 0, 0, 0, 134, 0, 0, 0, 0, 0, 0, 0, 393, 0, 0, 0, 292, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 114, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 202, 0, 0, 0, 0, 0, 0, 0, 46, 0, 0, 0, 0, 0, 0, 0, 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0, 0, 0, 0, -94, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 398, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 28224.2.a.dw does not appear in mf_twists_nf
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hecke_orbit_code 450359962770632256 does not appear in mf_hecke_charpolys
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label 28224.2.a.dw does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 181577942
{'hecke_orbit_code': 450359962770632256, 'n': 1, 'trace_an': 1}
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id: 181577943
{'hecke_orbit_code': 450359962770632256, 'n': 2, 'trace_an': 0}
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id: 181577944
{'hecke_orbit_code': 450359962770632256, 'n': 3, 'trace_an': 0}
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id: 181577945
{'hecke_orbit_code': 450359962770632256, 'n': 4, 'trace_an': 0}
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id: 181577946
{'hecke_orbit_code': 450359962770632256, 'n': 5, 'trace_an': 0}
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id: 181577947
{'hecke_orbit_code': 450359962770632256, 'n': 6, 'trace_an': 0}
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id: 181577948
{'hecke_orbit_code': 450359962770632256, 'n': 7, 'trace_an': 0}
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id: 181577949
{'hecke_orbit_code': 450359962770632256, 'n': 8, 'trace_an': 0}
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id: 181577950
{'hecke_orbit_code': 450359962770632256, 'n': 9, 'trace_an': 0}
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id: 181577951
{'hecke_orbit_code': 450359962770632256, 'n': 10, 'trace_an': 0}
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id: 181577952
{'hecke_orbit_code': 450359962770632256, 'n': 11, 'trace_an': 4}
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id: 181577953
{'hecke_orbit_code': 450359962770632256, 'n': 12, 'trace_an': 0}
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id: 181577954
{'hecke_orbit_code': 450359962770632256, 'n': 13, 'trace_an': 0}
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id: 181577955
{'hecke_orbit_code': 450359962770632256, 'n': 14, 'trace_an': 0}
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id: 181577956
{'hecke_orbit_code': 450359962770632256, 'n': 15, 'trace_an': 0}
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id: 181577957
{'hecke_orbit_code': 450359962770632256, 'n': 16, 'trace_an': 0}
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id: 181577958
{'hecke_orbit_code': 450359962770632256, 'n': 17, 'trace_an': 0}
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id: 181577959
{'hecke_orbit_code': 450359962770632256, 'n': 18, 'trace_an': 0}
-
id: 181577960
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id: 181577961
{'hecke_orbit_code': 450359962770632256, 'n': 20, 'trace_an': 0}
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id: 181577962
{'hecke_orbit_code': 450359962770632256, 'n': 21, 'trace_an': 0}
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id: 181577963
{'hecke_orbit_code': 450359962770632256, 'n': 22, 'trace_an': 0}
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id: 181577964
{'hecke_orbit_code': 450359962770632256, 'n': 23, 'trace_an': -8}
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id: 181577965
{'hecke_orbit_code': 450359962770632256, 'n': 24, 'trace_an': 0}
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id: 181577966
{'hecke_orbit_code': 450359962770632256, 'n': 25, 'trace_an': -5}
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id: 181577967
{'hecke_orbit_code': 450359962770632256, 'n': 26, 'trace_an': 0}
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id: 181577968
{'hecke_orbit_code': 450359962770632256, 'n': 27, 'trace_an': 0}
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id: 181577969
{'hecke_orbit_code': 450359962770632256, 'n': 28, 'trace_an': 0}
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id: 181577970
{'hecke_orbit_code': 450359962770632256, 'n': 29, 'trace_an': 2}
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id: 181577971
{'hecke_orbit_code': 450359962770632256, 'n': 30, 'trace_an': 0}
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id: 181577972
{'hecke_orbit_code': 450359962770632256, 'n': 31, 'trace_an': 0}
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id: 181577973
{'hecke_orbit_code': 450359962770632256, 'n': 32, 'trace_an': 0}
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id: 181577974
{'hecke_orbit_code': 450359962770632256, 'n': 33, 'trace_an': 0}
-
id: 181577975
{'hecke_orbit_code': 450359962770632256, 'n': 34, 'trace_an': 0}
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id: 181577976
{'hecke_orbit_code': 450359962770632256, 'n': 35, 'trace_an': 0}
-
id: 181577977
{'hecke_orbit_code': 450359962770632256, 'n': 36, 'trace_an': 0}
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id: 181577978
{'hecke_orbit_code': 450359962770632256, 'n': 37, 'trace_an': 6}
-
id: 181577979
{'hecke_orbit_code': 450359962770632256, 'n': 38, 'trace_an': 0}
-
id: 181577980
{'hecke_orbit_code': 450359962770632256, 'n': 39, 'trace_an': 0}
-
id: 181577981
{'hecke_orbit_code': 450359962770632256, 'n': 40, 'trace_an': 0}
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id: 181577982
{'hecke_orbit_code': 450359962770632256, 'n': 41, 'trace_an': 0}
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id: 181577983
{'hecke_orbit_code': 450359962770632256, 'n': 42, 'trace_an': 0}
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id: 181577984
{'hecke_orbit_code': 450359962770632256, 'n': 43, 'trace_an': 12}
-
id: 181577985
{'hecke_orbit_code': 450359962770632256, 'n': 44, 'trace_an': 0}
-
id: 181577986
{'hecke_orbit_code': 450359962770632256, 'n': 45, 'trace_an': 0}
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id: 181577987
{'hecke_orbit_code': 450359962770632256, 'n': 46, 'trace_an': 0}
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id: 181577988
{'hecke_orbit_code': 450359962770632256, 'n': 47, 'trace_an': 0}
-
id: 181577989
{'hecke_orbit_code': 450359962770632256, 'n': 48, 'trace_an': 0}
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id: 181577990
{'hecke_orbit_code': 450359962770632256, 'n': 49, 'trace_an': 0}
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id: 181577991
{'hecke_orbit_code': 450359962770632256, 'n': 50, 'trace_an': 0}
-
id: 181577992
{'hecke_orbit_code': 450359962770632256, 'n': 51, 'trace_an': 0}
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id: 181577993
{'hecke_orbit_code': 450359962770632256, 'n': 52, 'trace_an': 0}
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id: 181577994
{'hecke_orbit_code': 450359962770632256, 'n': 53, 'trace_an': -10}
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id: 181577995
{'hecke_orbit_code': 450359962770632256, 'n': 54, 'trace_an': 0}
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id: 181577996
{'hecke_orbit_code': 450359962770632256, 'n': 55, 'trace_an': 0}
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id: 181577997
{'hecke_orbit_code': 450359962770632256, 'n': 56, 'trace_an': 0}
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id: 181577998
{'hecke_orbit_code': 450359962770632256, 'n': 57, 'trace_an': 0}
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id: 181577999
{'hecke_orbit_code': 450359962770632256, 'n': 58, 'trace_an': 0}
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id: 181578000
{'hecke_orbit_code': 450359962770632256, 'n': 59, 'trace_an': 0}
-
id: 181578001
{'hecke_orbit_code': 450359962770632256, 'n': 60, 'trace_an': 0}
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id: 181578002
{'hecke_orbit_code': 450359962770632256, 'n': 61, 'trace_an': 0}
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id: 181578003
{'hecke_orbit_code': 450359962770632256, 'n': 62, 'trace_an': 0}
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id: 181578004
{'hecke_orbit_code': 450359962770632256, 'n': 63, 'trace_an': 0}
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id: 181578005
{'hecke_orbit_code': 450359962770632256, 'n': 64, 'trace_an': 0}
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id: 181578006
{'hecke_orbit_code': 450359962770632256, 'n': 65, 'trace_an': 0}
-
id: 181578007
{'hecke_orbit_code': 450359962770632256, 'n': 66, 'trace_an': 0}
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id: 181578008
{'hecke_orbit_code': 450359962770632256, 'n': 67, 'trace_an': -4}
-
id: 181578009
{'hecke_orbit_code': 450359962770632256, 'n': 68, 'trace_an': 0}
-
id: 181578010
{'hecke_orbit_code': 450359962770632256, 'n': 69, 'trace_an': 0}
-
id: 181578011
{'hecke_orbit_code': 450359962770632256, 'n': 70, 'trace_an': 0}
-
id: 181578012
{'hecke_orbit_code': 450359962770632256, 'n': 71, 'trace_an': -16}
-
id: 181578013
{'hecke_orbit_code': 450359962770632256, 'n': 72, 'trace_an': 0}
-
id: 181578014
{'hecke_orbit_code': 450359962770632256, 'n': 73, 'trace_an': 0}
-
id: 181578015
{'hecke_orbit_code': 450359962770632256, 'n': 74, 'trace_an': 0}
-
id: 181578016
{'hecke_orbit_code': 450359962770632256, 'n': 75, 'trace_an': 0}
-
id: 181578017
{'hecke_orbit_code': 450359962770632256, 'n': 76, 'trace_an': 0}
-
id: 181578018
{'hecke_orbit_code': 450359962770632256, 'n': 77, 'trace_an': 0}
-
id: 181578019
{'hecke_orbit_code': 450359962770632256, 'n': 78, 'trace_an': 0}
-
id: 181578020
{'hecke_orbit_code': 450359962770632256, 'n': 79, 'trace_an': 8}
-
id: 181578021
{'hecke_orbit_code': 450359962770632256, 'n': 80, 'trace_an': 0}
-
id: 181578022
{'hecke_orbit_code': 450359962770632256, 'n': 81, 'trace_an': 0}
-
id: 181578023
{'hecke_orbit_code': 450359962770632256, 'n': 82, 'trace_an': 0}
-
id: 181578024
{'hecke_orbit_code': 450359962770632256, 'n': 83, 'trace_an': 0}
-
id: 181578025
{'hecke_orbit_code': 450359962770632256, 'n': 84, 'trace_an': 0}
-
id: 181578026
{'hecke_orbit_code': 450359962770632256, 'n': 85, 'trace_an': 0}
-
id: 181578027
{'hecke_orbit_code': 450359962770632256, 'n': 86, 'trace_an': 0}
-
id: 181578028
{'hecke_orbit_code': 450359962770632256, 'n': 87, 'trace_an': 0}
-
id: 181578029
{'hecke_orbit_code': 450359962770632256, 'n': 88, 'trace_an': 0}
-
id: 181578030
{'hecke_orbit_code': 450359962770632256, 'n': 89, 'trace_an': 0}
-
id: 181578031
{'hecke_orbit_code': 450359962770632256, 'n': 90, 'trace_an': 0}
-
id: 181578032
{'hecke_orbit_code': 450359962770632256, 'n': 91, 'trace_an': 0}
-
id: 181578033
{'hecke_orbit_code': 450359962770632256, 'n': 92, 'trace_an': 0}
-
id: 181578034
{'hecke_orbit_code': 450359962770632256, 'n': 93, 'trace_an': 0}
-
id: 181578035
{'hecke_orbit_code': 450359962770632256, 'n': 94, 'trace_an': 0}
-
id: 181578036
{'hecke_orbit_code': 450359962770632256, 'n': 95, 'trace_an': 0}
-
id: 181578037
{'hecke_orbit_code': 450359962770632256, 'n': 96, 'trace_an': 0}
-
id: 181578038
{'hecke_orbit_code': 450359962770632256, 'n': 97, 'trace_an': 0}
-
id: 181578039
{'hecke_orbit_code': 450359962770632256, 'n': 98, 'trace_an': 0}
-
id: 181578040
{'hecke_orbit_code': 450359962770632256, 'n': 99, 'trace_an': 0}
-
id: 181578041
{'hecke_orbit_code': 450359962770632256, 'n': 100, 'trace_an': 0}