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mf_newforms • Show schema
Hide schema
{'Nk2': 51984, 'analytic_conductor': 103.77358246685598, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [19, -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': [12996, 1, [6499, 10109, 12637], [6, 6, 6]], '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': 6, 'hecke_orbit_code': 22517998170419908, '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': '12996.2.a.f', 'level': 12996, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3, 19], 'level_radical': 114, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{7}+7q^{13}-5q^{25}-11q^{31}+q^{37}+\\cdots', 'related_objects': ['EllipticCurve/Q/12996/f'], 'relative_dim': 1, 'rm_discs': [], 'space_label': '12996.2.a', 'trace_display': [0, 0, 0, -1], 'traces': [1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5, 0, 0, 0, 0, 0, -11, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -13, 0, 0, 0, 0, 0, -5, 0, 0, 0, 0, 0, -7, 0, 0, 0, 0, 0, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7, 0, 0, 0, 0, 0, -14, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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label 12996.2.a.f does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [0, 0, 0, 0, 33, 24, 40, 45], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [39, 40, 40, 40, 20, 20, 20, 20], 'ALdims_old': [261, 270, 270, 260, 247, 246, 230, 235], 'Nk2': 51984, 'analytic_conductor': 103.77358246685598, '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': [12996, 1, [6499, 10109, 12637], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 2161, 'dim': 142, 'eis_dim': 239, 'eis_new_dim': 0, 'hecke_orbit_code': 33567428, 'hecke_orbit_dims': [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, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 8, 16], 'label': '12996.2.a', 'level': 12996, '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, 19], 'level_radical': 114, 'mf_dim': 2400, 'mf_new_dim': 142, 'num_forms': 48, 'plus_dim': 64, 'prim_orbit_index': 1, 'relative_dim': 142, 'sturm_bound': 4560, 'trace_display': [0, 0, 2, 0], 'traces': [142, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -4, 0, 0, 0, 0, 0, 6, 0, 142, 0, 0, 0, 2, 0, -16, 0, 0, 0, -16, 0, 4, 0, 0, 0, -6, 0, -12, 0, 0, 0, -12, 0, 146, 0, 0, 0, 0, 0, -8, 0, 0, 0, -2, 0, 16, 0, 0, 0, 32, 0, -12, 0, 0, 0, -30, 0, 22, 0, 0, 0, -6, 0, 12, 0, 0, 0, -10, 0, 32, 0, 0, 0, 40, 0, -12, 0, 0, 0, 0, 0, 6, 0, 0, 0, -24, 0, -6, 0, 0, 0, 30, 0, 10, 0, 0, 0, -22, 0, 30, 0, 0, 0, 28, 0, 158, 0, 0, 0, 54, 0, -34, 0, 0, 0, 26, 0, 0, 0, 0, 0, 4, 0, 32, 0, 0, 0, 8, 0, 22, 0, 0, 0, -24, 0, -6, 0, 0, 0, -8, 0, 30, 0, 0, 0, -44, 0, -2, 0, 0, 0, -18, 0, 170, 0, 0, 0, 18, 0, 0, 0, 0, 0, 46, 0, 8, 0, 0, 0, -26, 0, -6, 0, 0, 0, -24, 0, -2, 0, 0, 0, -38, 0, 16, 0, 0, 0, 42, 0, 58, 0, 0, 0, 0, 0, -10, 0, 0, 0, -74, 0, -36, 0, 0, 0, 48, 0, 58, 0, 0, 0, 16, 0, 14, 0, 0, 0, 30, 0, 12, 0, 0, 0, 66, 0, -8, 0, 0, 0, 16, 0, 0, 0, 0, 0, 44, 0, 44, 0, 0, 0, 16, 0, -58, 0, 0, 0, -54, 0, -4, 0, 0, 0, -28, 0, 120, 0, 0, 0, -78, 0, 44, 0, 0, 0, -30, 0, 122, 0, 0, 0, -38, 0, 88, 0, 0, 0, 68, 0, -18, 0, 0, 0, -64, 0, 136, 0, 0, 0, -54, 0, -60, 0, 0, 0, -18, 0, 116, 0, 0, 0, 102, 0, -38, 0, 0, 0, 0, 0, -10, 0, 0, 0, -36, 0, -68, 0, 0, 0, 108, 0, -18, 0, 0, 0, -56, 0, 126, 0, 0, 0, 58, 0, 86, 0, 0, 0, 84, 0, -22, 0, 0, 0, 28, 0, 0, 0, 0, 0, 208, 0, -8, 0, 0, 0, -16, 0, -22, 0, 0, 0, 138, 0, 22, 0, 0, 0, -8, 0, -82, 0, 0, 0, -84, 0, -28, 0, 0, 0, 8, 0, 148, 0, 0, 0, -4, 0, 166, 0, 0, 0, 122, 0, 2, 0, 0, 0, -26, 0, 88, 0, 0, 0, -78, 0, 90, 0, 0, 0, 76, 0, 154, 0, 0, 0, 44, 0, -56, 0, 0, 0, 0, 0, -6, 0, 0, 0, -98, 0, -36, 0, 0, 0, 56, 0, -18, 0, 0, 0, -24, 0, 24, 0, 0, 0, 148, 0, -10, 0, 0, 0, 22, 0, -108, 0, 0, 0, -10, 0, 0, 0, 0, 0, 22, 0, 148, 0, 0, 0, 76, 0, -18, 0, 0, 0, -88, 0, 42, 0, 0, 0, -22, 0, -66, 0, 0, 0, -8, 0, 204, 0, 0, 0, -28, 0, 114, 0, 0, 0, -30, 0, -10, 0, 0, 0, 80, 0, 78, 0, 0, 0, -120, 0, 96, 0, 0, 0, -8, 0, 26, 0, 0, 0, 18, 0, 104, 0, 0, 0, 144, 0, 132, 0, 0, 0, 0, 0, 32, 0, 0, 0, 148, 0, 52, 0, 0, 0, 90, 0, 14, 0, 0, 0, -76, 0, 8, 0, 0, 0, 74, 0, 88, 0, 0, 0, 88, 0, 108, 0, 0, 0, 76, 0, 0, 0, 0, 0, 10, 0, 120, 0, 0, 0, 20, 0, -112, 0, 0, 0, -46, 0, 44, 0, 0, 0, -40, 0, 218, 0, 0, 0, 84, 0, -70, 0, 0, 0, 16, 0, 122, 0, 0, 0, 34, 0, -120, 0, 0, 0, 150, 0, -46, 0, 0, 0, -20, 0, 134, 0, 0, 0, -40, 0, -70, 0, 0, 0, -74, 0, -42, 0, 0, 0, 2, 0, 22, 0, 0, 0, 0, 0, 88, 0, 0, 0, -118, 0, -52, 0, 0, 0, 26, 0, 112, 0, 0, 0, 56, 0, 176, 0, 0, 0, -2, 0, 140, 0, 0, 0, 84, 0, -130, 0, 0, 0, -12, 0, 0, 0, 0, 0, 102, 0, -2, 0, 0, 0, 112, 0, 76, 0, 0, 0, -82, 0, 6, 0, 0, 0, -104, 0, -66, 0, 0, 0, -418, 0, 126, 0, 0, 0, -108, 0, -82, 0, 0, 0, -8, 0, 148, 0, 0, 0, 38, 0, -36, 0, 0, 0, -58, 0, 106, 0, 0, 0, 198, 0, 184, 0, 0, 0, 0, 0, 48, 0, 0, 0, 138, 0, -164, 0, 0, 0, 0, 0, -114, 0, 0, 0, -8, 0, -68, 0, 0, 0, 58, 0, 32, 0, 0, 0, -28, 0, 44, 0, 0, 0, -238, 0, 100, 0, 0, 0, 78, 0, -40, 0, 0, 0, 130, 0, 0, 0, 0, 0, 0, 0, 136, 0, 0, 0, -116, 0, 82, 0, 0, 0, -12, 0, -54, 0, 0, 0, -14, 0, 192, 0, 0, 0, 70, 0, 80, 0, 0, 0, -16, 0, 78, 0, 0, 0, -30, 0, -58, 0, 0, 0, 38, 0, -90, 0, 0, 0, 24, 0, -24, 0, 0, 0, -114, 0, -60, 0, 0, 0, -82, 0, 62, 0, 0, 0, -10, 0, 170, 0, 0, 0, 0, 0, 18, 0, 0, 0, -84, 0, -20, 0, 0, 0, -38, 0, 48, 0, 0, 0, -78, 0, 64, 0, 0, 0, -30, 0, -20, 0, 0, 0, -44, 0, 114, 0, 0, 0, -28, 0, 0, 0, 0, 0, 46, 0, 214, 0, 0, 0, 90, 0, -144, 0, 0, 0, -394, 0, 0, 0, 0, 0, -32, 0, 142, 0, 0, 0, 96, 0, -10, 0, 0, 0, -12, 0, -74, 0, 0, 0, 28, 0, 98, 0, 0, 0, 28, 0, -100, 0, 0, 0, -132, 0, -42, 0, 0, 0, 2, 0, -134, 0, 0, 0, 374, 0, -74, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 12996.2.a.f does not appear in mf_twists_nf
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hecke_orbit_code 22517998170419908 does not appear in mf_hecke_charpolys
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label 12996.2.a.f does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 132896942
{'hecke_orbit_code': 22517998170419908, 'n': 1, 'trace_an': 1}
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id: 132896943
{'hecke_orbit_code': 22517998170419908, 'n': 2, 'trace_an': 0}
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id: 132896944
{'hecke_orbit_code': 22517998170419908, 'n': 3, 'trace_an': 0}
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id: 132896945
{'hecke_orbit_code': 22517998170419908, 'n': 4, 'trace_an': 0}
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id: 132896946
{'hecke_orbit_code': 22517998170419908, 'n': 5, 'trace_an': 0}
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id: 132896947
{'hecke_orbit_code': 22517998170419908, 'n': 6, 'trace_an': 0}
-
id: 132896948
{'hecke_orbit_code': 22517998170419908, 'n': 7, 'trace_an': -1}
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id: 132896949
{'hecke_orbit_code': 22517998170419908, 'n': 8, 'trace_an': 0}
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id: 132896950
{'hecke_orbit_code': 22517998170419908, 'n': 9, 'trace_an': 0}
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id: 132896951
{'hecke_orbit_code': 22517998170419908, 'n': 10, 'trace_an': 0}
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id: 132896952
{'hecke_orbit_code': 22517998170419908, 'n': 11, 'trace_an': 0}
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id: 132896953
{'hecke_orbit_code': 22517998170419908, 'n': 12, 'trace_an': 0}
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id: 132896954
{'hecke_orbit_code': 22517998170419908, 'n': 13, 'trace_an': 7}
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id: 132896955
{'hecke_orbit_code': 22517998170419908, 'n': 14, 'trace_an': 0}
-
id: 132896956
{'hecke_orbit_code': 22517998170419908, 'n': 15, 'trace_an': 0}
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id: 132896957
{'hecke_orbit_code': 22517998170419908, 'n': 16, 'trace_an': 0}
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id: 132896958
{'hecke_orbit_code': 22517998170419908, 'n': 17, 'trace_an': 0}
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id: 132896959
{'hecke_orbit_code': 22517998170419908, 'n': 18, 'trace_an': 0}
-
id: 132896960
{'hecke_orbit_code': 22517998170419908, 'n': 19, 'trace_an': 0}
-
id: 132896961
{'hecke_orbit_code': 22517998170419908, 'n': 20, 'trace_an': 0}
-
id: 132896962
{'hecke_orbit_code': 22517998170419908, 'n': 21, 'trace_an': 0}
-
id: 132896963
{'hecke_orbit_code': 22517998170419908, 'n': 22, 'trace_an': 0}
-
id: 132896964
{'hecke_orbit_code': 22517998170419908, 'n': 23, 'trace_an': 0}
-
id: 132896965
{'hecke_orbit_code': 22517998170419908, 'n': 24, 'trace_an': 0}
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id: 132896966
{'hecke_orbit_code': 22517998170419908, 'n': 25, 'trace_an': -5}
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id: 132896967
{'hecke_orbit_code': 22517998170419908, 'n': 26, 'trace_an': 0}
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id: 132896968
{'hecke_orbit_code': 22517998170419908, 'n': 27, 'trace_an': 0}
-
id: 132896969
{'hecke_orbit_code': 22517998170419908, 'n': 28, 'trace_an': 0}
-
id: 132896970
{'hecke_orbit_code': 22517998170419908, 'n': 29, 'trace_an': 0}
-
id: 132896971
{'hecke_orbit_code': 22517998170419908, 'n': 30, 'trace_an': 0}
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id: 132896972
{'hecke_orbit_code': 22517998170419908, 'n': 31, 'trace_an': -11}
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id: 132896973
{'hecke_orbit_code': 22517998170419908, 'n': 32, 'trace_an': 0}
-
id: 132896974
{'hecke_orbit_code': 22517998170419908, 'n': 33, 'trace_an': 0}
-
id: 132896975
{'hecke_orbit_code': 22517998170419908, 'n': 34, 'trace_an': 0}
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id: 132896976
{'hecke_orbit_code': 22517998170419908, 'n': 35, 'trace_an': 0}
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id: 132896977
{'hecke_orbit_code': 22517998170419908, 'n': 36, 'trace_an': 0}
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id: 132896978
{'hecke_orbit_code': 22517998170419908, 'n': 37, 'trace_an': 1}
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id: 132896979
{'hecke_orbit_code': 22517998170419908, 'n': 38, 'trace_an': 0}
-
id: 132896980
{'hecke_orbit_code': 22517998170419908, 'n': 39, 'trace_an': 0}
-
id: 132896981
{'hecke_orbit_code': 22517998170419908, 'n': 40, 'trace_an': 0}
-
id: 132896982
{'hecke_orbit_code': 22517998170419908, 'n': 41, 'trace_an': 0}
-
id: 132896983
{'hecke_orbit_code': 22517998170419908, 'n': 42, 'trace_an': 0}
-
id: 132896984
{'hecke_orbit_code': 22517998170419908, 'n': 43, 'trace_an': 5}
-
id: 132896985
{'hecke_orbit_code': 22517998170419908, 'n': 44, 'trace_an': 0}
-
id: 132896986
{'hecke_orbit_code': 22517998170419908, 'n': 45, 'trace_an': 0}
-
id: 132896987
{'hecke_orbit_code': 22517998170419908, 'n': 46, 'trace_an': 0}
-
id: 132896988
{'hecke_orbit_code': 22517998170419908, 'n': 47, 'trace_an': 0}
-
id: 132896989
{'hecke_orbit_code': 22517998170419908, 'n': 48, 'trace_an': 0}
-
id: 132896990
{'hecke_orbit_code': 22517998170419908, 'n': 49, 'trace_an': -6}
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id: 132896991
{'hecke_orbit_code': 22517998170419908, 'n': 50, 'trace_an': 0}
-
id: 132896992
{'hecke_orbit_code': 22517998170419908, 'n': 51, 'trace_an': 0}
-
id: 132896993
{'hecke_orbit_code': 22517998170419908, 'n': 52, 'trace_an': 0}
-
id: 132896994
{'hecke_orbit_code': 22517998170419908, 'n': 53, 'trace_an': 0}
-
id: 132896995
{'hecke_orbit_code': 22517998170419908, 'n': 54, 'trace_an': 0}
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id: 132896996
{'hecke_orbit_code': 22517998170419908, 'n': 55, 'trace_an': 0}
-
id: 132896997
{'hecke_orbit_code': 22517998170419908, 'n': 56, 'trace_an': 0}
-
id: 132896998
{'hecke_orbit_code': 22517998170419908, 'n': 57, 'trace_an': 0}
-
id: 132896999
{'hecke_orbit_code': 22517998170419908, 'n': 58, 'trace_an': 0}
-
id: 132897000
{'hecke_orbit_code': 22517998170419908, 'n': 59, 'trace_an': 0}
-
id: 132897001
{'hecke_orbit_code': 22517998170419908, 'n': 60, 'trace_an': 0}
-
id: 132897002
{'hecke_orbit_code': 22517998170419908, 'n': 61, 'trace_an': -13}
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id: 132897003
{'hecke_orbit_code': 22517998170419908, 'n': 62, 'trace_an': 0}
-
id: 132897004
{'hecke_orbit_code': 22517998170419908, 'n': 63, 'trace_an': 0}
-
id: 132897005
{'hecke_orbit_code': 22517998170419908, 'n': 64, 'trace_an': 0}
-
id: 132897006
{'hecke_orbit_code': 22517998170419908, 'n': 65, 'trace_an': 0}
-
id: 132897007
{'hecke_orbit_code': 22517998170419908, 'n': 66, 'trace_an': 0}
-
id: 132897008
{'hecke_orbit_code': 22517998170419908, 'n': 67, 'trace_an': -5}
-
id: 132897009
{'hecke_orbit_code': 22517998170419908, 'n': 68, 'trace_an': 0}
-
id: 132897010
{'hecke_orbit_code': 22517998170419908, 'n': 69, 'trace_an': 0}
-
id: 132897011
{'hecke_orbit_code': 22517998170419908, 'n': 70, 'trace_an': 0}
-
id: 132897012
{'hecke_orbit_code': 22517998170419908, 'n': 71, 'trace_an': 0}
-
id: 132897013
{'hecke_orbit_code': 22517998170419908, 'n': 72, 'trace_an': 0}
-
id: 132897014
{'hecke_orbit_code': 22517998170419908, 'n': 73, 'trace_an': -7}
-
id: 132897015
{'hecke_orbit_code': 22517998170419908, 'n': 74, 'trace_an': 0}
-
id: 132897016
{'hecke_orbit_code': 22517998170419908, 'n': 75, 'trace_an': 0}
-
id: 132897017
{'hecke_orbit_code': 22517998170419908, 'n': 76, 'trace_an': 0}
-
id: 132897018
{'hecke_orbit_code': 22517998170419908, 'n': 77, 'trace_an': 0}
-
id: 132897019
{'hecke_orbit_code': 22517998170419908, 'n': 78, 'trace_an': 0}
-
id: 132897020
{'hecke_orbit_code': 22517998170419908, 'n': 79, 'trace_an': 13}
-
id: 132897021
{'hecke_orbit_code': 22517998170419908, 'n': 80, 'trace_an': 0}
-
id: 132897022
{'hecke_orbit_code': 22517998170419908, 'n': 81, 'trace_an': 0}
-
id: 132897023
{'hecke_orbit_code': 22517998170419908, 'n': 82, 'trace_an': 0}
-
id: 132897024
{'hecke_orbit_code': 22517998170419908, 'n': 83, 'trace_an': 0}
-
id: 132897025
{'hecke_orbit_code': 22517998170419908, 'n': 84, 'trace_an': 0}
-
id: 132897026
{'hecke_orbit_code': 22517998170419908, 'n': 85, 'trace_an': 0}
-
id: 132897027
{'hecke_orbit_code': 22517998170419908, 'n': 86, 'trace_an': 0}
-
id: 132897028
{'hecke_orbit_code': 22517998170419908, 'n': 87, 'trace_an': 0}
-
id: 132897029
{'hecke_orbit_code': 22517998170419908, 'n': 88, 'trace_an': 0}
-
id: 132897030
{'hecke_orbit_code': 22517998170419908, 'n': 89, 'trace_an': 0}
-
id: 132897031
{'hecke_orbit_code': 22517998170419908, 'n': 90, 'trace_an': 0}
-
id: 132897032
{'hecke_orbit_code': 22517998170419908, 'n': 91, 'trace_an': -7}
-
id: 132897033
{'hecke_orbit_code': 22517998170419908, 'n': 92, 'trace_an': 0}
-
id: 132897034
{'hecke_orbit_code': 22517998170419908, 'n': 93, 'trace_an': 0}
-
id: 132897035
{'hecke_orbit_code': 22517998170419908, 'n': 94, 'trace_an': 0}
-
id: 132897036
{'hecke_orbit_code': 22517998170419908, 'n': 95, 'trace_an': 0}
-
id: 132897037
{'hecke_orbit_code': 22517998170419908, 'n': 96, 'trace_an': 0}
-
id: 132897038
{'hecke_orbit_code': 22517998170419908, 'n': 97, 'trace_an': -14}
-
id: 132897039
{'hecke_orbit_code': 22517998170419908, 'n': 98, 'trace_an': 0}
-
id: 132897040
{'hecke_orbit_code': 22517998170419908, 'n': 99, 'trace_an': 0}
-
id: 132897041
{'hecke_orbit_code': 22517998170419908, 'n': 100, 'trace_an': 0}