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mf_newforms • Show schema
Hide schema
{'Nk2': 43560, 'analytic_conductor': 86.95708780117434, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, 1], [11, 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': [10890, 1, [8471, 4357, 3511], [94, 94, 94]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 4, 'field_disc_factorization': [[2, 2]], 'field_poly': [11, 1, -8, -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': 94, 'hecke_orbit_code': 418834765379021450, 'inner_twist_count': -1, 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'label': '10890.2.a.dp', 'level': 10890, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 11], 'level_radical': 330, 'nf_label': '4.4.5225.1', 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '10890.2.a', 'trace_display': [4, 0, -4, -3], 'traces': [4, 4, 0, 4, -4, 0, -3, 4, 0, -4, 0, 0, -7, -3, 0, 4, 1, 0, 4, -4, 0, 0, -13, 0, 4, -7, 0, -3, -4, 0, 12, 4, 0, 1, 3, 0, -9, 4, 0, -4, 0, 0, 19, 0, 0, -13, -3, 0, 11, 4, 0, -7, -3, 0, 0, -3, 0, -4, -2, 0, -10, 12, 0, 4, 7, 0, -13, 1, 0, 3, -16, 0, -1, -9, 0, 4, 0, 0, 2, -4, 0, 0, -27, 0, -1, 19, 0, 0, -16, 0, -16, -13, 0, -3, -4, 0, -13, 11, 0, 4], 'weight': 2, 'weight_parity': 1}
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label 10890.2.a.dp does not appear in mf_hecke_nf
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mf_newspaces • Show schema
Hide schema
{'ALdims': [7, 12, 11, 7, 12, 15, 13, 15, 11, 7, 7, 12, 12, 15, 17, 10], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], 'ALdims_old': [129, 137, 136, 132, 135, 124, 128, 128, 130, 138, 134, 131, 129, 128, 130, 129], 'Nk2': 43560, 'analytic_conductor': 86.95708780117434, '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': [10890, 1, [8471, 4357, 3511], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 2281, 'dim': 183, 'eis_dim': 191, 'eis_new_dim': 0, 'hecke_orbit_code': 33565322, '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, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6], 'label': '10890.2.a', 'level': 10890, '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, 11], 'level_radical': 330, 'mf_dim': 2472, 'mf_new_dim': 183, 'num_forms': 102, 'plus_dim': 78, 'prim_orbit_index': 1, 'relative_dim': 183, 'sturm_bound': 4752, 'trace_display': [-1, 0, 1, 0], 'traces': [183, -1, 0, 183, 1, 0, 0, -1, 0, 1, 0, 0, 6, 8, 0, 183, -2, 0, 4, 1, 0, 0, -8, 0, 183, -2, 0, 0, -18, 0, -8, -1, 0, -6, -4, 0, -14, 8, 0, 1, -10, 0, 12, 0, 0, -4, 8, 0, 179, -1, 0, 6, 22, 0, 0, 8, 0, -6, -16, 0, -46, 0, 0, 183, -10, 0, 24, -2, 0, -8, -8, 0, -6, 6, 0, 4, 0, 0, 32, 1, 0, 2, 4, 0, 10, -24, 0, 0, 14, 0, 128, -8, 0, 12, -4, 0, 154, -41, 0, 183, -2, 0, 144, -2, 0, -10, -28, 0, 10, 0, 0, 0, -2, 0, -12, -18, 0, 20, 0, 0, 0, 38, 0, -8, 1, 0, 32, -1, 0, -14, 32, 0, 128, 0, 0, -6, 70, 0, 4, -4, 0, 8, 0, 0, -6, -10, 0, -14, 54, 0, 0, 8, 0, 0, -24, 0, 42, -8, 0, 1, -40, 0, 72, -10, 0, 8, 88, 0, 229, 10, 0, 12, 74, 0, 0, 0, 0, 58, 16, 0, 106, -24, 0, -4, 30, 0, 0, 8, 0, -8, -32, 0, 18, 78, 0, 179, -30, 0, 64, -1, 0, 18, 40, 0, -18, -32, 0, 6, 0, 0, -12, 22, 0, 40, -20, 0, 112, 22, 0, 0, 12, 0, 112, 8, 0, 2, 28, 0, 50, -4, 0, -6, -50, 0, 12, -16, 0, -48, 48, 0, -42, 0, 0, -46, -23, 0, 136, 0, 0, 1, 124, 0, 0, 16, 0, 183, 46, 0, 0, -10, 0, 48, -24, 0, -10, 32, 0, 24, -90, 0, 0, -2, 0, 90, 0, 0, 62, 212, 0, -8, 78, 0, 60, -8, 0, 0, -16, 0, 169, -10, 0, -6, -6, 0, -20, 6, 0, 50, 24, 0, 16, -16, 0, 4, 22, 0, 28, 0, 0, 0, 16, 0, 98, -2, 0, 32, -58, 0, 0, 1, 0, 0, 76, 0, 6, 8, 0, 2, 32, 0, 172, 4, 0, -52, 28, 0, -30, 73, 0, 10, 0, 0, 0, -24, 0, -26, 28, 0, 34, 8, 0, 0, -10, 0, -24, 14, 0, -12, -40, 0, 171, 66, 0, 128, 6, 0, 64, -8, 0, 30, -128, 0, 102, 0, 0, 12, -140, 0, 84, -4, 0, 8, 152, 0, 0, 226, 0, 154, 30, 0, -128, -41, 0, -34, -32, 0, 226, -48, 0, 183, -50, 0, -32, -2, 0, -104, 0, 0, 102, 42, 0, 144, -96, 0, -12, -2, 0, 0, 24, 0, -102, -16, 0, -10, -2, 0, 216, -28, 0, -28, -8, 0, 138, 16, 0, 10, -32, 0, -64, 0, 0, -36, 64, 0, -10, 8, 0, 0, -90, 0, 0, -2, 0, 32, -48, 0, -142, -6, 0, -12, 110, 0, 40, -18, 0, -6, 228, 0, -64, 4, 0, 20, 0, 0, 4, 0, 0, -104, -8, 0, 36, 6, 0, 0, -14, 0, -64, 38, 0, 33, 32, 0, -100, -64, 0, -8, 48, 0, -148, 1, 0, -4, 104, 0, -14, 0, 0, 32, 54, 0, 328, -1, 0, 50, 72, 0, 0, -32, 0, -14, 78, 0, 100, 32, 0, -28, 48, 0, 195, -38, 0, 128, -28, 0, -44, 0, 0, -2, 0, 0, -38, 104, 0, -6, -26, 0, -44, 70, 0, 0, 96, 0, 152, -2, 0, 4, -6, 0, 104, -4, 0, 122, -60, 0, -26, 212, 0, 8, -34, 0, -84, 0, 0, -8, -8, 0, -94, 13, 0, -6, -144, 0, 0, -10, 0, 54, 56, 0, -176, -32, 0, -14, -138, 0, 56, 54, 0, -72, -40, 0, 78, -96, 0, 0, 0, 0, -64, 8, 0, 50, -56, 0, -106, 160, 0, 0, 22, 0, -28, -24, 0, 8, -8, 0, 183, 62, 0, 42, -36, 0, -56, -8, 0, 14, 52, 0, 54, 0, 0, 1, 182, 0, 160, -40, 0, 32, -136, 0, 0, -2, 0, 72, -42, 0, -36, -10, 0, 32, 128, 0, 122, -44, 0, 8, 40, 0, -56, 88, 0, 0, 0, 0, 18, -138, 0, 229, -6, 0, 88, 10, 0, 0, 140, 0, -2, 208, 0, 12, -84, 0, 196, 74, 0, 48, -20, 0, 52, 94, 0, 0, -98, 0, -8, 0, 0, 50, -136, 0, 114, -8, 0, 58, 184, 0, 0, 16, 0, 24, -32, 0, 192, -141, 0, 106, -18, 0, -56, -24, 0, 6, -64, 0, -98, 80, 0, -4, 0, 0, -44, 30, 0, 56, -112, 0, -22, -66, 0, 0, 256, 0, 32, 8, 0, 68, -8, 0, -62, -100, 0, -8, 70, 0, 184, -32, 0, -84, 80, 0, -42, 0, 0, 18, 62, 0, -8, 78, 0, -90, 104, 0, 0, -8, 0, 179, -10, 0, 124, -30, 0, -24, 168, 0, 324, 70, 0, 64, 38, 0, -120, -1, 0, -158, 0, 0, -16, -24, 0, 18, 14, 0, 196, 40, 0, 0, -20, 0, -128, 218, 0, -18, 22, 0, -312, -32, 0, 72, 108, 0, -238, 204, 0, 6, 110, 0, 96, 0, 0, -92, 56, 0, 209, 74, 0, -12, 71, 0, 0, 22, 0, -6, 88, 0, 150, 96, 0, 40, -106, 0, -292, -20, 0, -24, 8, 0, 54, 22, 0, 112, 0, 0, 0, 22, 0, 32, -4, 0, -18, 120, 0, 0, 30, 0, -32, 12, 0, 0, 184, 0, -312, 18, 0, 112, -160, 0, 108, 8, 0, -14, -72, 0, 172, 0, 0, 2, -50, 0, -328, 28, 0, 48, -248, 0, 0, -42, 0, 50, 80, 0, 104, -4, 0, -142, -144, 0, -14, 56, 0, -6, 246, 0, 156, -50, 0, 0, 0, 0, 34, -120, 0, 12, 142, 0, 72, -16, 0, 0, 0, 0, -164, 8, 0, -48, 86, 0, -96, 48, 0, 24, -40, 0, 351, -76, 0, -42, 78, 0, -248, 0, 0, 74, 196, 0, -248, -48, 0, -46, -70, 0, 0, -23, 0, -48, -72, 0, 110, 12, 0, 136, 80, 0, -72, 0, 0, -16, 24, 0, -58, 124, 0, 1], 'weight': 2, 'weight_parity': 1}
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source_label 10890.2.a.dp does not appear in mf_twists_nf
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hecke_orbit_code 418834765379021450 does not appear in mf_hecke_charpolys
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label 10890.2.a.dp does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 180964942
{'hecke_orbit_code': 418834765379021450, 'n': 1, 'trace_an': 4}
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id: 180964943
{'hecke_orbit_code': 418834765379021450, 'n': 2, 'trace_an': 4}
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id: 180964944
{'hecke_orbit_code': 418834765379021450, 'n': 3, 'trace_an': 0}
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id: 180964945
{'hecke_orbit_code': 418834765379021450, 'n': 4, 'trace_an': 4}
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id: 180964946
{'hecke_orbit_code': 418834765379021450, 'n': 5, 'trace_an': -4}
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id: 180964947
{'hecke_orbit_code': 418834765379021450, 'n': 6, 'trace_an': 0}
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id: 180964948
{'hecke_orbit_code': 418834765379021450, 'n': 7, 'trace_an': -3}
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id: 180964949
{'hecke_orbit_code': 418834765379021450, 'n': 8, 'trace_an': 4}
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id: 180964950
{'hecke_orbit_code': 418834765379021450, 'n': 9, 'trace_an': 0}
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id: 180964951
{'hecke_orbit_code': 418834765379021450, 'n': 10, 'trace_an': -4}
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id: 180964952
{'hecke_orbit_code': 418834765379021450, 'n': 11, 'trace_an': 0}
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id: 180964953
{'hecke_orbit_code': 418834765379021450, 'n': 12, 'trace_an': 0}
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id: 180964954
{'hecke_orbit_code': 418834765379021450, 'n': 13, 'trace_an': -7}
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id: 180964955
{'hecke_orbit_code': 418834765379021450, 'n': 14, 'trace_an': -3}
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id: 180964956
{'hecke_orbit_code': 418834765379021450, 'n': 15, 'trace_an': 0}
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id: 180964957
{'hecke_orbit_code': 418834765379021450, 'n': 16, 'trace_an': 4}
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id: 180964958
{'hecke_orbit_code': 418834765379021450, 'n': 17, 'trace_an': 1}
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id: 180964959
{'hecke_orbit_code': 418834765379021450, 'n': 18, 'trace_an': 0}
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id: 180964960
{'hecke_orbit_code': 418834765379021450, 'n': 19, 'trace_an': 4}
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id: 180964961
{'hecke_orbit_code': 418834765379021450, 'n': 20, 'trace_an': -4}
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id: 180964962
{'hecke_orbit_code': 418834765379021450, 'n': 21, 'trace_an': 0}
-
id: 180964963
{'hecke_orbit_code': 418834765379021450, 'n': 22, 'trace_an': 0}
-
id: 180964964
{'hecke_orbit_code': 418834765379021450, 'n': 23, 'trace_an': -13}
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id: 180964965
{'hecke_orbit_code': 418834765379021450, 'n': 24, 'trace_an': 0}
-
id: 180964966
{'hecke_orbit_code': 418834765379021450, 'n': 25, 'trace_an': 4}
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id: 180964967
{'hecke_orbit_code': 418834765379021450, 'n': 26, 'trace_an': -7}
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id: 180964968
{'hecke_orbit_code': 418834765379021450, 'n': 27, 'trace_an': 0}
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id: 180964969
{'hecke_orbit_code': 418834765379021450, 'n': 28, 'trace_an': -3}
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id: 180964970
{'hecke_orbit_code': 418834765379021450, 'n': 29, 'trace_an': -4}
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id: 180964971
{'hecke_orbit_code': 418834765379021450, 'n': 30, 'trace_an': 0}
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id: 180964972
{'hecke_orbit_code': 418834765379021450, 'n': 31, 'trace_an': 12}
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id: 180964973
{'hecke_orbit_code': 418834765379021450, 'n': 32, 'trace_an': 4}
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id: 180964974
{'hecke_orbit_code': 418834765379021450, 'n': 33, 'trace_an': 0}
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id: 180964975
{'hecke_orbit_code': 418834765379021450, 'n': 34, 'trace_an': 1}
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id: 180964976
{'hecke_orbit_code': 418834765379021450, 'n': 35, 'trace_an': 3}
-
id: 180964977
{'hecke_orbit_code': 418834765379021450, 'n': 36, 'trace_an': 0}
-
id: 180964978
{'hecke_orbit_code': 418834765379021450, 'n': 37, 'trace_an': -9}
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id: 180964979
{'hecke_orbit_code': 418834765379021450, 'n': 38, 'trace_an': 4}
-
id: 180964980
{'hecke_orbit_code': 418834765379021450, 'n': 39, 'trace_an': 0}
-
id: 180964981
{'hecke_orbit_code': 418834765379021450, 'n': 40, 'trace_an': -4}
-
id: 180964982
{'hecke_orbit_code': 418834765379021450, 'n': 41, 'trace_an': 0}
-
id: 180964983
{'hecke_orbit_code': 418834765379021450, 'n': 42, 'trace_an': 0}
-
id: 180964984
{'hecke_orbit_code': 418834765379021450, 'n': 43, 'trace_an': 19}
-
id: 180964985
{'hecke_orbit_code': 418834765379021450, 'n': 44, 'trace_an': 0}
-
id: 180964986
{'hecke_orbit_code': 418834765379021450, 'n': 45, 'trace_an': 0}
-
id: 180964987
{'hecke_orbit_code': 418834765379021450, 'n': 46, 'trace_an': -13}
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id: 180964988
{'hecke_orbit_code': 418834765379021450, 'n': 47, 'trace_an': -3}
-
id: 180964989
{'hecke_orbit_code': 418834765379021450, 'n': 48, 'trace_an': 0}
-
id: 180964990
{'hecke_orbit_code': 418834765379021450, 'n': 49, 'trace_an': 11}
-
id: 180964991
{'hecke_orbit_code': 418834765379021450, 'n': 50, 'trace_an': 4}
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id: 180964992
{'hecke_orbit_code': 418834765379021450, 'n': 51, 'trace_an': 0}
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id: 180964993
{'hecke_orbit_code': 418834765379021450, 'n': 52, 'trace_an': -7}
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id: 180964994
{'hecke_orbit_code': 418834765379021450, 'n': 53, 'trace_an': -3}
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id: 180964995
{'hecke_orbit_code': 418834765379021450, 'n': 54, 'trace_an': 0}
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id: 180964996
{'hecke_orbit_code': 418834765379021450, 'n': 55, 'trace_an': 0}
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id: 180964997
{'hecke_orbit_code': 418834765379021450, 'n': 56, 'trace_an': -3}
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id: 180964998
{'hecke_orbit_code': 418834765379021450, 'n': 57, 'trace_an': 0}
-
id: 180964999
{'hecke_orbit_code': 418834765379021450, 'n': 58, 'trace_an': -4}
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id: 180965000
{'hecke_orbit_code': 418834765379021450, 'n': 59, 'trace_an': -2}
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id: 180965001
{'hecke_orbit_code': 418834765379021450, 'n': 60, 'trace_an': 0}
-
id: 180965002
{'hecke_orbit_code': 418834765379021450, 'n': 61, 'trace_an': -10}
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id: 180965003
{'hecke_orbit_code': 418834765379021450, 'n': 62, 'trace_an': 12}
-
id: 180965004
{'hecke_orbit_code': 418834765379021450, 'n': 63, 'trace_an': 0}
-
id: 180965005
{'hecke_orbit_code': 418834765379021450, 'n': 64, 'trace_an': 4}
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id: 180965006
{'hecke_orbit_code': 418834765379021450, 'n': 65, 'trace_an': 7}
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id: 180965007
{'hecke_orbit_code': 418834765379021450, 'n': 66, 'trace_an': 0}
-
id: 180965008
{'hecke_orbit_code': 418834765379021450, 'n': 67, 'trace_an': -13}
-
id: 180965009
{'hecke_orbit_code': 418834765379021450, 'n': 68, 'trace_an': 1}
-
id: 180965010
{'hecke_orbit_code': 418834765379021450, 'n': 69, 'trace_an': 0}
-
id: 180965011
{'hecke_orbit_code': 418834765379021450, 'n': 70, 'trace_an': 3}
-
id: 180965012
{'hecke_orbit_code': 418834765379021450, 'n': 71, 'trace_an': -16}
-
id: 180965013
{'hecke_orbit_code': 418834765379021450, 'n': 72, 'trace_an': 0}
-
id: 180965014
{'hecke_orbit_code': 418834765379021450, 'n': 73, 'trace_an': -1}
-
id: 180965015
{'hecke_orbit_code': 418834765379021450, 'n': 74, 'trace_an': -9}
-
id: 180965016
{'hecke_orbit_code': 418834765379021450, 'n': 75, 'trace_an': 0}
-
id: 180965017
{'hecke_orbit_code': 418834765379021450, 'n': 76, 'trace_an': 4}
-
id: 180965018
{'hecke_orbit_code': 418834765379021450, 'n': 77, 'trace_an': 0}
-
id: 180965019
{'hecke_orbit_code': 418834765379021450, 'n': 78, 'trace_an': 0}
-
id: 180965020
{'hecke_orbit_code': 418834765379021450, 'n': 79, 'trace_an': 2}
-
id: 180965021
{'hecke_orbit_code': 418834765379021450, 'n': 80, 'trace_an': -4}
-
id: 180965022
{'hecke_orbit_code': 418834765379021450, 'n': 81, 'trace_an': 0}
-
id: 180965023
{'hecke_orbit_code': 418834765379021450, 'n': 82, 'trace_an': 0}
-
id: 180965024
{'hecke_orbit_code': 418834765379021450, 'n': 83, 'trace_an': -27}
-
id: 180965025
{'hecke_orbit_code': 418834765379021450, 'n': 84, 'trace_an': 0}
-
id: 180965026
{'hecke_orbit_code': 418834765379021450, 'n': 85, 'trace_an': -1}
-
id: 180965027
{'hecke_orbit_code': 418834765379021450, 'n': 86, 'trace_an': 19}
-
id: 180965028
{'hecke_orbit_code': 418834765379021450, 'n': 87, 'trace_an': 0}
-
id: 180965029
{'hecke_orbit_code': 418834765379021450, 'n': 88, 'trace_an': 0}
-
id: 180965030
{'hecke_orbit_code': 418834765379021450, 'n': 89, 'trace_an': -16}
-
id: 180965031
{'hecke_orbit_code': 418834765379021450, 'n': 90, 'trace_an': 0}
-
id: 180965032
{'hecke_orbit_code': 418834765379021450, 'n': 91, 'trace_an': -16}
-
id: 180965033
{'hecke_orbit_code': 418834765379021450, 'n': 92, 'trace_an': -13}
-
id: 180965034
{'hecke_orbit_code': 418834765379021450, 'n': 93, 'trace_an': 0}
-
id: 180965035
{'hecke_orbit_code': 418834765379021450, 'n': 94, 'trace_an': -3}
-
id: 180965036
{'hecke_orbit_code': 418834765379021450, 'n': 95, 'trace_an': -4}
-
id: 180965037
{'hecke_orbit_code': 418834765379021450, 'n': 96, 'trace_an': 0}
-
id: 180965038
{'hecke_orbit_code': 418834765379021450, 'n': 97, 'trace_an': -13}
-
id: 180965039
{'hecke_orbit_code': 418834765379021450, 'n': 98, 'trace_an': 11}
-
id: 180965040
{'hecke_orbit_code': 418834765379021450, 'n': 99, 'trace_an': 0}
-
id: 180965041
{'hecke_orbit_code': 418834765379021450, 'n': 100, 'trace_an': 4}