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mf_newforms • Show schema
Hide schema
{'Nk2': 60840, 'analytic_conductor': 121.45246147436747, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, -1], [13, -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': [15210, 1, [6761, 9127, 6931], [18, 18, 18]], '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': 18, 'hecke_orbit_code': 76561193698868074, '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': '15210.2.a.r', 'level': 15210, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}+6q^{11}+\\cdots', 'related_objects': ['EllipticCurve/Q/15210/r'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '15210.2.a', 'trace_display': [-1, 0, 1, 0], 'traces': [1, -1, 0, 1, 1, 0, 0, -1, 0, -1, 6, 0, 0, 0, 0, 1, -6, 0, 6, 1, 0, -6, 6, 0, 1, 0, 0, 0, 6, 0, 0, -1, 0, 6, 0, 0, 6, -6, 0, -1, -12, 0, -8, 6, 0, -6, 0, 0, -7, -1, 0, 0, 12, 0, 6, 0, 0, -6, 6, 0, 10, 0, 0, 1, 0, 0, 0, -6, 0, 0, 12, 0, 6, -6, 0, 6, 0, 0, -8, 1, 0, 12, 0, 0, -6, 8, 0, -6, 0, 0, 0, 6, 0, 0, 6, 0, -6, 7, 0, 1], 'weight': 2, 'weight_parity': 1}
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label 15210.2.a.r does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [10, 16, 15, 10, 17, 21, 18, 21, 15, 10, 10, 16, 18, 21, 24, 15], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14], 'ALdims_old': [180, 189, 188, 183, 186, 173, 178, 178, 181, 190, 186, 182, 178, 178, 179, 179], 'Nk2': 60840, 'analytic_conductor': 121.45246147436747, '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': [15210, 1, [6761, 9127, 6931], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 3165, 'dim': 257, 'eis_dim': 223, 'eis_new_dim': 0, 'hecke_orbit_code': 33569642, '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, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], 'label': '15210.2.a', 'level': 15210, '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, 3, 5, 13], 'level_radical': 390, 'mf_dim': 3388, 'mf_new_dim': 257, 'num_forms': 114, 'plus_dim': 112, 'prim_orbit_index': 1, 'relative_dim': 257, 'sturm_bound': 6552, 'trace_display': [1, 0, 1, 0], 'traces': [257, 1, 0, 257, 1, 0, 0, 1, 0, 1, 4, 0, 0, 8, 0, 257, 2, 0, -8, 1, 0, 0, 16, 0, 257, 0, 0, 0, -18, 0, 8, 1, 0, -2, -4, 0, 2, 0, 0, 1, 2, 0, -16, 4, 0, -20, -32, 0, 237, 1, 0, 0, -6, 0, -12, 8, 0, 10, 4, 0, 18, -24, 0, 257, 0, 0, -12, 2, 0, -8, 0, 0, 30, -34, 0, -8, 8, 0, -16, 1, 0, -2, 12, 0, 6, -12, 0, 0, -46, 0, 0, 16, 0, -12, -4, 0, -10, -23, 0, 257, 46, 0, 8, 0, 0, -10, 0, 0, 10, 4, 0, 0, -14, 0, 12, -18, 0, 24, -24, 0, 281, -10, 0, 8, 1, 0, 224, 1, 0, 0, 68, 0, 232, 28, 0, -2, 2, 0, 224, -4, 0, 24, 0, 0, -14, 26, 0, 2, -2, 0, 56, 0, 0, 40, 24, 0, 246, 32, 0, 1, 16, 0, -44, 2, 0, -4, 64, 0, 0, -18, 0, -16, 26, 0, 0, 4, 0, 22, 92, 0, -6, 0, 0, -20, 6, 0, 16, -32, 0, -8, 16, 0, 38, -22, 0, 237, -42, 0, 144, 1, 0, 50, 40, 0, -2, 0, 0, 0, 0, 0, 56, -6, 0, 44, 28, 0, 168, -14, 0, -12, 0, 0, 24, 8, 0, -18, 44, 0, -38, 4, 0, 10, 42, 0, 48, 4, 0, -8, 96, 0, 90, 37, 0, 18, -23, 0, 0, -24, 0, 1, -68, 0, 80, -8, 0, 257, -14, 0, 168, 0, 0, -4, 40, 0, 6, -80, 0, -12, -58, 0, 32, 2, 0, 22, 4, 0, -18, 76, 0, -8, 18, 0, 192, 0, 0, 0, -32, 0, 167, -30, 0, 30, -10, 0, -4, -34, 0, -34, 0, 0, -16, 56, 0, -8, 54, 0, 28, 8, 0, -16, -88, 0, 86, 14, 0, -16, -98, 0, 64, 1, 0, 48, -112, 0, 0, 20, 0, -2, 96, 0, 96, 12, 0, 36, -20, 0, 158, 0, 0, 6, -48, 0, 48, -12, 0, 30, 452, 0, 58, 8, 0, 0, -62, 0, 56, -46, 0, 60, -16, 0, 249, 38, 0, 0, -42, 0, 248, 16, 0, 2, -88, 0, 94, 300, 0, -12, 0, 0, 88, -4, 0, 96, -64, 0, 24, -14, 0, -10, -18, 0, 16, -23, 0, -10, -48, 0, -118, 56, 0, 257, 10, 0, 0, 46, 0, -72, -152, 0, 18, -22, 0, 8, -112, 0, -28, 0, 0, -128, 240, 0, 50, 36, 0, -10, 2, 0, -176, 0, 0, 0, 32, 0, 14, 80, 0, 10, 32, 0, 8, 4, 0, 0, 48, 0, 14, 64, 0, 0, -102, 0, -40, -14, 0, -20, 0, 0, -130, -78, 0, 12, -18, 0, -56, -18, 0, -42, -16, 0, 128, 16, 0, 24, 88, 0, -8, -24, 0, 64, 0, 0, 0, 278, 0, 281, -58, 0, -144, -10, 0, -31, 108, 0, -148, 0, 0, 8, -64, 0, -96, 1, 0, 36, -104, 0, 26, -40, 0, 224, -18, 0, 128, 1, 0, -18, 0, 0, -152, 56, 0, 0, -14, 0, -40, 68, 0, 20, 80, 0, 181, 10, 0, 232, 0, 0, 36, 28, 0, -86, -124, 0, 50, 72, 0, -2, 14, 0, 320, 2, 0, 0, 64, 0, -48, -26, 0, 224, 94, 0, 0, -4, 0, -42, 380, 0, -90, 36, 0, 24, 34, 0, 240, 0, 0, 72, 16, 0, 118, -13, 0, -14, -24, 0, 72, 26, 0, -90, 60, 0, 96, -12, 0, 2, 98, 0, 88, -2, 0, 0, 152, 0, -86, -64, 0, 56, 101, 0, 24, 0, 0, 14, 0, 0, -142, -4, 0, 40, 210, 0, 56, 24, 0, 16, -88, 0, 257, -94, 0, 246, 100, 0, 24, 32, 0, -34, 8, 0, 0, -48, 0, 1, -70, 0, -36, 16, 0, 8, 8, 0, -56, 0, 0, -44, 122, 0, 84, 2, 0, 0, -36, 0, 10, 380, 0, -4, -16, 0, 16, 64, 0, 36, -72, 0, 22, -22, 0, 0, -118, 0, 424, -18, 0, -72, 108, 0, 42, -8, 0, -16, 0, 0, -168, 26, 0, -36, 44, 0, -156, -38, 0, 0, -18, 0, 192, 4, 0, -90, -312, 0, 202, 8, 0, 22, -152, 0, 0, 92, 0, 208, 224, 0, -72, 109, 0, -6, -18, 0, 216, 0, 0, -42, -104, 0, -150, -8, 0, -20, 80, 0, 0, 6, 0, 232, -40, 0, 50, -58, 0, 16, -80, 0, -200, -32, 0, 0, -32, 0, 46, -72, 0, -8, -46, 0, 120, 16, 0, 44, 0, 0, -166, -64, 0, 38, 6, 0, 8, -22, 0, -38, 188, 0, 224, -24, 0, 237, -90, 0, 76, -42, 0, -48, 72, 0, 0, 86, 0, 144, -238, 0, 160, 1, 0, -74, -96, 0, -16, 0, 0, 50, 50, 0, 96, 40, 0, 232, 52, 0, -200, 2, 0, -2, 62, 0, -48, 0, 0, -120, -84, 0, 202, 60, 0, 0, 18, 0, 40, 0, 0, 12, -72, 0, 299, -102, 0, 56, 0, 0, -48, -6, 0, -2, 8, 0, 50, 260, 0, 44, -46, 0, -80, 28, 0, 72, 40, 0, -50, -70, 0, 168, -96, 0, 0, -14, 0, 0, -4, 0, -38, -168, 0, -12, 310, 0, 128, 0, 0, -132, -72, 0, -72, 42, 0, 24, -216, 0, -60, 8, 0, -90, -144, 0, 12, -192, 0, -18, 6, 0, 304, 44, 0, 0, -16, 0, 24, 374, 0, -38, 112, 0, 112, 4, 0, -226, 0, 0, 2, 428, 0, 10, -118, 0, -8, 42, 0, 36, 56, 0, 86, 32, 0, 48, 166, 0, 0, 4, 0, -40, 212, 0, 0, 0, 0, -8, 98, 0, 16, 96, 0, 32, 136, 0, 241, 0, 0, 90, 14, 0, 224, 37, 0, 30, 148, 0, 64, 16, 0, 18, 74, 0, -112, -23, 0, -108, -88, 0, 46, -148, 0, 0, 404, 0, 320, -24, 0, 16, 72, 0, 246, 200, 0, 1], 'weight': 2, 'weight_parity': 1}
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source_label 15210.2.a.r does not appear in mf_twists_nf
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hecke_orbit_code 76561193698868074 does not appear in mf_hecke_charpolys
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label 15210.2.a.r does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 153938942
{'hecke_orbit_code': 76561193698868074, 'n': 1, 'trace_an': 1}
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id: 153938943
{'hecke_orbit_code': 76561193698868074, 'n': 2, 'trace_an': -1}
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id: 153938944
{'hecke_orbit_code': 76561193698868074, 'n': 3, 'trace_an': 0}
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id: 153938945
{'hecke_orbit_code': 76561193698868074, 'n': 4, 'trace_an': 1}
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id: 153938946
{'hecke_orbit_code': 76561193698868074, 'n': 5, 'trace_an': 1}
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id: 153938947
{'hecke_orbit_code': 76561193698868074, 'n': 6, 'trace_an': 0}
-
id: 153938948
{'hecke_orbit_code': 76561193698868074, 'n': 7, 'trace_an': 0}
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id: 153938949
{'hecke_orbit_code': 76561193698868074, 'n': 8, 'trace_an': -1}
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id: 153938950
{'hecke_orbit_code': 76561193698868074, 'n': 9, 'trace_an': 0}
-
id: 153938951
{'hecke_orbit_code': 76561193698868074, 'n': 10, 'trace_an': -1}
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id: 153938952
{'hecke_orbit_code': 76561193698868074, 'n': 11, 'trace_an': 6}
-
id: 153938953
{'hecke_orbit_code': 76561193698868074, 'n': 12, 'trace_an': 0}
-
id: 153938954
{'hecke_orbit_code': 76561193698868074, 'n': 13, 'trace_an': 0}
-
id: 153938955
{'hecke_orbit_code': 76561193698868074, 'n': 14, 'trace_an': 0}
-
id: 153938956
{'hecke_orbit_code': 76561193698868074, 'n': 15, 'trace_an': 0}
-
id: 153938957
{'hecke_orbit_code': 76561193698868074, 'n': 16, 'trace_an': 1}
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id: 153938958
{'hecke_orbit_code': 76561193698868074, 'n': 17, 'trace_an': -6}
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id: 153938959
{'hecke_orbit_code': 76561193698868074, 'n': 18, 'trace_an': 0}
-
id: 153938960
{'hecke_orbit_code': 76561193698868074, 'n': 19, 'trace_an': 6}
-
id: 153938961
{'hecke_orbit_code': 76561193698868074, 'n': 20, 'trace_an': 1}
-
id: 153938962
{'hecke_orbit_code': 76561193698868074, 'n': 21, 'trace_an': 0}
-
id: 153938963
{'hecke_orbit_code': 76561193698868074, 'n': 22, 'trace_an': -6}
-
id: 153938964
{'hecke_orbit_code': 76561193698868074, 'n': 23, 'trace_an': 6}
-
id: 153938965
{'hecke_orbit_code': 76561193698868074, 'n': 24, 'trace_an': 0}
-
id: 153938966
{'hecke_orbit_code': 76561193698868074, 'n': 25, 'trace_an': 1}
-
id: 153938967
{'hecke_orbit_code': 76561193698868074, 'n': 26, 'trace_an': 0}
-
id: 153938968
{'hecke_orbit_code': 76561193698868074, 'n': 27, 'trace_an': 0}
-
id: 153938969
{'hecke_orbit_code': 76561193698868074, 'n': 28, 'trace_an': 0}
-
id: 153938970
{'hecke_orbit_code': 76561193698868074, 'n': 29, 'trace_an': 6}
-
id: 153938971
{'hecke_orbit_code': 76561193698868074, 'n': 30, 'trace_an': 0}
-
id: 153938972
{'hecke_orbit_code': 76561193698868074, 'n': 31, 'trace_an': 0}
-
id: 153938973
{'hecke_orbit_code': 76561193698868074, 'n': 32, 'trace_an': -1}
-
id: 153938974
{'hecke_orbit_code': 76561193698868074, 'n': 33, 'trace_an': 0}
-
id: 153938975
{'hecke_orbit_code': 76561193698868074, 'n': 34, 'trace_an': 6}
-
id: 153938976
{'hecke_orbit_code': 76561193698868074, 'n': 35, 'trace_an': 0}
-
id: 153938977
{'hecke_orbit_code': 76561193698868074, 'n': 36, 'trace_an': 0}
-
id: 153938978
{'hecke_orbit_code': 76561193698868074, 'n': 37, 'trace_an': 6}
-
id: 153938979
{'hecke_orbit_code': 76561193698868074, 'n': 38, 'trace_an': -6}
-
id: 153938980
{'hecke_orbit_code': 76561193698868074, 'n': 39, 'trace_an': 0}
-
id: 153938981
{'hecke_orbit_code': 76561193698868074, 'n': 40, 'trace_an': -1}
-
id: 153938982
{'hecke_orbit_code': 76561193698868074, 'n': 41, 'trace_an': -12}
-
id: 153938983
{'hecke_orbit_code': 76561193698868074, 'n': 42, 'trace_an': 0}
-
id: 153938984
{'hecke_orbit_code': 76561193698868074, 'n': 43, 'trace_an': -8}
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id: 153938985
{'hecke_orbit_code': 76561193698868074, 'n': 44, 'trace_an': 6}
-
id: 153938986
{'hecke_orbit_code': 76561193698868074, 'n': 45, 'trace_an': 0}
-
id: 153938987
{'hecke_orbit_code': 76561193698868074, 'n': 46, 'trace_an': -6}
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id: 153938988
{'hecke_orbit_code': 76561193698868074, 'n': 47, 'trace_an': 0}
-
id: 153938989
{'hecke_orbit_code': 76561193698868074, 'n': 48, 'trace_an': 0}
-
id: 153938990
{'hecke_orbit_code': 76561193698868074, 'n': 49, 'trace_an': -7}
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id: 153938991
{'hecke_orbit_code': 76561193698868074, 'n': 50, 'trace_an': -1}
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id: 153938992
{'hecke_orbit_code': 76561193698868074, 'n': 51, 'trace_an': 0}
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id: 153938993
{'hecke_orbit_code': 76561193698868074, 'n': 52, 'trace_an': 0}
-
id: 153938994
{'hecke_orbit_code': 76561193698868074, 'n': 53, 'trace_an': 12}
-
id: 153938995
{'hecke_orbit_code': 76561193698868074, 'n': 54, 'trace_an': 0}
-
id: 153938996
{'hecke_orbit_code': 76561193698868074, 'n': 55, 'trace_an': 6}
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id: 153938997
{'hecke_orbit_code': 76561193698868074, 'n': 56, 'trace_an': 0}
-
id: 153938998
{'hecke_orbit_code': 76561193698868074, 'n': 57, 'trace_an': 0}
-
id: 153938999
{'hecke_orbit_code': 76561193698868074, 'n': 58, 'trace_an': -6}
-
id: 153939000
{'hecke_orbit_code': 76561193698868074, 'n': 59, 'trace_an': 6}
-
id: 153939001
{'hecke_orbit_code': 76561193698868074, 'n': 60, 'trace_an': 0}
-
id: 153939002
{'hecke_orbit_code': 76561193698868074, 'n': 61, 'trace_an': 10}
-
id: 153939003
{'hecke_orbit_code': 76561193698868074, 'n': 62, 'trace_an': 0}
-
id: 153939004
{'hecke_orbit_code': 76561193698868074, 'n': 63, 'trace_an': 0}
-
id: 153939005
{'hecke_orbit_code': 76561193698868074, 'n': 64, 'trace_an': 1}
-
id: 153939006
{'hecke_orbit_code': 76561193698868074, 'n': 65, 'trace_an': 0}
-
id: 153939007
{'hecke_orbit_code': 76561193698868074, 'n': 66, 'trace_an': 0}
-
id: 153939008
{'hecke_orbit_code': 76561193698868074, 'n': 67, 'trace_an': 0}
-
id: 153939009
{'hecke_orbit_code': 76561193698868074, 'n': 68, 'trace_an': -6}
-
id: 153939010
{'hecke_orbit_code': 76561193698868074, 'n': 69, 'trace_an': 0}
-
id: 153939011
{'hecke_orbit_code': 76561193698868074, 'n': 70, 'trace_an': 0}
-
id: 153939012
{'hecke_orbit_code': 76561193698868074, 'n': 71, 'trace_an': 12}
-
id: 153939013
{'hecke_orbit_code': 76561193698868074, 'n': 72, 'trace_an': 0}
-
id: 153939014
{'hecke_orbit_code': 76561193698868074, 'n': 73, 'trace_an': 6}
-
id: 153939015
{'hecke_orbit_code': 76561193698868074, 'n': 74, 'trace_an': -6}
-
id: 153939016
{'hecke_orbit_code': 76561193698868074, 'n': 75, 'trace_an': 0}
-
id: 153939017
{'hecke_orbit_code': 76561193698868074, 'n': 76, 'trace_an': 6}
-
id: 153939018
{'hecke_orbit_code': 76561193698868074, 'n': 77, 'trace_an': 0}
-
id: 153939019
{'hecke_orbit_code': 76561193698868074, 'n': 78, 'trace_an': 0}
-
id: 153939020
{'hecke_orbit_code': 76561193698868074, 'n': 79, 'trace_an': -8}
-
id: 153939021
{'hecke_orbit_code': 76561193698868074, 'n': 80, 'trace_an': 1}
-
id: 153939022
{'hecke_orbit_code': 76561193698868074, 'n': 81, 'trace_an': 0}
-
id: 153939023
{'hecke_orbit_code': 76561193698868074, 'n': 82, 'trace_an': 12}
-
id: 153939024
{'hecke_orbit_code': 76561193698868074, 'n': 83, 'trace_an': 0}
-
id: 153939025
{'hecke_orbit_code': 76561193698868074, 'n': 84, 'trace_an': 0}
-
id: 153939026
{'hecke_orbit_code': 76561193698868074, 'n': 85, 'trace_an': -6}
-
id: 153939027
{'hecke_orbit_code': 76561193698868074, 'n': 86, 'trace_an': 8}
-
id: 153939028
{'hecke_orbit_code': 76561193698868074, 'n': 87, 'trace_an': 0}
-
id: 153939029
{'hecke_orbit_code': 76561193698868074, 'n': 88, 'trace_an': -6}
-
id: 153939030
{'hecke_orbit_code': 76561193698868074, 'n': 89, 'trace_an': 0}
-
id: 153939031
{'hecke_orbit_code': 76561193698868074, 'n': 90, 'trace_an': 0}
-
id: 153939032
{'hecke_orbit_code': 76561193698868074, 'n': 91, 'trace_an': 0}
-
id: 153939033
{'hecke_orbit_code': 76561193698868074, 'n': 92, 'trace_an': 6}
-
id: 153939034
{'hecke_orbit_code': 76561193698868074, 'n': 93, 'trace_an': 0}
-
id: 153939035
{'hecke_orbit_code': 76561193698868074, 'n': 94, 'trace_an': 0}
-
id: 153939036
{'hecke_orbit_code': 76561193698868074, 'n': 95, 'trace_an': 6}
-
id: 153939037
{'hecke_orbit_code': 76561193698868074, 'n': 96, 'trace_an': 0}
-
id: 153939038
{'hecke_orbit_code': 76561193698868074, 'n': 97, 'trace_an': -6}
-
id: 153939039
{'hecke_orbit_code': 76561193698868074, 'n': 98, 'trace_an': 7}
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id: 153939040
{'hecke_orbit_code': 76561193698868074, 'n': 99, 'trace_an': 0}
-
id: 153939041
{'hecke_orbit_code': 76561193698868074, 'n': 100, 'trace_an': 1}