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mf_newforms • Show schema
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{'Nk2': 63200, 'analytic_conductor': 126.16363519362301, 'atkin_lehner_eigenvals': [[2, 1], [5, 1], [79, -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': [15800, 1, [3951, 7901, 11377, 12801], [9, 9, 9, 9]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 3, 'field_disc_factorization': [[3, 1]], 'field_poly': [-1, -4, 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': 9, 'hecke_orbit_code': 36028797052534200, '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': '15800.2.a.i', 'level': 15800, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 79], 'level_radical': 790, 'nf_label': '3.3.229.1', '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': '15800.2.a', 'trace_display': [0, 1, 0, -1], 'traces': [3, 0, 1, 0, 0, 0, -1, 0, 4, 0, -1, 0, 14, 0, 0, 0, -4, 0, -7, 0, -13, 0, -7, 0, 0, 0, 1, 0, -18, 0, -5, 0, 20, 0, 0, 0, 8, 0, -3, 0, -4, 0, 12, 0, 0, 0, -3, 0, -8, 0, 24, 0, -4, 0, 0, 0, 0, 0, 9, 0, -10, 0, -4, 0, 0, 0, 7, 0, 0, 0, 25, 0, 9, 0, 0, 0, -20, 0, 3, 0, -9, 0, 6, 0, 0, 0, 4, 0, 10, 0, 3, 0, -12, 0, 0, 0, 14, 0, 15, 0], 'weight': 2, 'weight_parity': 1}
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label 15800.2.a.i does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [42, 48, 50, 46, 46, 40, 47, 51], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [235, 270, 258, 240, 242, 266, 249, 247], 'Nk2': 63200, 'analytic_conductor': 126.16363519362301, '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': [15800, 1, [3951, 7901, 11377, 12801], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 2377, 'dim': 370, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_orbit_code': 33570232, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 2, 2, 2, 3, 4, 5, 6, 6, 7, 7, 8, 13, 13, 15, 17, 17, 18, 18, 21, 21, 22, 22, 29, 29, 29, 29], 'label': '15800.2.a', 'level': 15800, '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, 5, 79], 'level_radical': 790, 'mf_dim': 2424, 'mf_new_dim': 370, 'num_forms': 31, 'plus_dim': 175, 'prim_orbit_index': 1, 'relative_dim': 370, 'sturm_bound': 4800, 'trace_display': [0, 2, 0, 0], 'traces': [370, 0, 2, 0, 0, 0, 0, 0, 358, 0, 4, 0, 0, 0, 0, 0, 0, 0, 8, 0, 4, 0, 16, 0, 0, 0, 8, 0, 34, 0, 4, 0, -12, 0, 0, 0, 6, 0, 12, 0, 20, 0, 14, 0, 0, 0, 20, 0, 370, 0, 36, 0, -6, 0, 0, 0, -20, 0, 22, 0, 6, 0, 28, 0, 0, 0, 32, 0, 4, 0, 0, 0, -16, 0, 0, 0, 12, 0, 0, 0, 322, 0, -16, 0, 0, 0, 16, 0, 20, 0, -16, 0, 12, 0, 0, 0, -40, 0, 12, 0, -56, 0, 36, 0, 0, 0, 6, 0, -46, 0, 12, 0, 24, 0, 0, 0, -20, 0, -12, 0, 354, 0, 16, 0, 0, 0, -24, 0, 64, 0, 56, 0, 16, 0, 0, 0, -48, 0, -46, 0, 44, 0, -8, 0, 0, 0, -2, 0, -58, 0, 56, 0, -24, 0, 0, 0, 2, 0, -8, 0, 64, 0, 68, 0, 0, 0, 16, 0, 354, 0, 72, 0, -14, 0, 0, 0, -72, 0, 64, 0, -8, 0, 4, 0, 0, 0, 76, 0, 52, 0, 0, 0, -60, 0, 0, 0, 26, 0, 12, 0, -128, 0, -36, 0, 0, 0, 64, 0, -92, 0, -18, 0, 12, 0, 0, 0, -20, 0, -12, 0, -28, 0, 4, 0, 0, 0, -50, 0, 130, 0, 36, 0, -64, 0, 0, 0, 6, 0, -72, 0, 60, 0, 66, 0, 0, 0, 44, 0, -172, 0, 70, 0, 32, 0, 0, 0, -64, 0, 64, 0, 178, 0, 64, 0, 0, 0, -28, 0, 44, 0, 64, 0, -104, 0, 0, 0, 0, 0, -192, 0, -104, 0, 8, 0, 0, 0, -36, 0, 378, 0, -156, 0, 2, 0, 0, 0, -152, 0, 120, 0, 0, 0, 68, 0, 0, 0, 50, 0, 20, 0, -204, 0, 16, 0, 0, 0, -44, 0, -16, 0, -28, 0, 148, 0, 0, 0, 68, 0, 72, 0, 82, 0, -82, 0, 0, 0, -64, 0, -108, 0, 4, 0, 132, 0, 0, 0, -68, 0, 106, 0, -20, 0, 16, 0, 0, 0, -40, 0, -12, 0, 450, 0, 70, 0, 0, 0, 80, 0, -72, 0, 140, 0, 102, 0, 0, 0, -148, 0, -38, 0, 84, 0, -60, 0, 0, 0, 278, 0, -112, 0, -4, 0, -140, 0, 0, 0, -28, 0, 44, 0, -72, 0, 112, 0, 0, 0, -44, 0, -52, 0, 168, 0, -28, 0, 0, 0, -24, 0, -150, 0, 136, 0, 64, 0, 0, 0, 112, 0, 140, 0, -12, 0, 0, 0, 0, 0, 44, 0, 116, 0, 390, 0, 126, 0, 0, 0, -112, 0, 124, 0, 112, 0, 52, 0, 0, 0, -80, 0, 176, 0, -22, 0, 88, 0, 0, 0, -36, 0, 96, 0, -192, 0, -56, 0, 0, 0, 18, 0, -152, 0, 72, 0, -32, 0, 0, 0, -36, 0, -136, 0, -222, 0, 28, 0, 0, 0, 80, 0, 116, 0, -180, 0, -48, 0, 0, 0, -50, 0, -138, 0, -88, 0, -24, 0, 0, 0, 16, 0, -136, 0, 36, 0, -60, 0, 0, 0, -172, 0, 518, 0, -102, 0, 84, 0, 0, 0, 32, 0, -112, 0, 156, 0, 72, 0, 0, 0, -112, 0, -74, 0, -80, 0, 4, 0, 0, 0, 12, 0, 164, 0, 220, 0, -24, 0, 0, 0, -128, 0, -92, 0, 132, 0, 164, 0, 0, 0, -100, 0, 32, 0, 0, 0, 124, 0, 0, 0, 46, 0, 72, 0, -20, 0, 80, 0, 0, 0, 100, 0, -112, 0, 36, 0, 216, 0, 0, 0, 32, 0, 168, 0, 20, 0, 98, 0, 0, 0, -24, 0, -58, 0, -128, 0, -16, 0, 0, 0, -56, 0, 148, 0, 136, 0, -16, 0, 0, 0, 92, 0, 132, 0, -24, 0, 144, 0, 0, 0, -144, 0, -8, 0, 284, 0, 20, 0, 0, 0, 64, 0, 186, 0, 42, 0, -140, 0, 0, 0, 112, 0, -40, 0, -280, 0, 88, 0, 0, 0, -72, 0, 44, 0, -200, 0, 36, 0, 0, 0, -16, 0, 48, 0, 166, 0, 252, 0, 0, 0, -40, 0, 336, 0, 238, 0, 24, 0, 0, 0, -24, 0, 142, 0, 0, 0, 24, 0, 0, 0, 180, 0, -52, 0, 176, 0, 68, 0, 0, 0, 68, 0, 130, 0, 180, 0, 120, 0, 0, 0, 88, 0, 134, 0, 144, 0, -96, 0, 0, 0, -24, 0, 164, 0, 56, 0, 64, 0, 0, 0, 100, 0, -216, 0, 92, 0, 32, 0, 0, 0, 72, 0, 104, 0, 520, 0, 68, 0, 0, 0, 224, 0, -32, 0, 128, 0, -20, 0, 0, 0, 12, 0, 12, 0, -52, 0, -156, 0, 0, 0, 150, 0, -164, 0, 272, 0, -136, 0, 0, 0, -188, 0, 160, 0, 160, 0, 32, 0, 0, 0, -108, 0, -84, 0, 76, 0, 132, 0, 0, 0, 130, 0, -106, 0, 156, 0, 40, 0, 0, 0, 208, 0, -148, 0, 238, 0, 92, 0, 0, 0, 200, 0, -40, 0, -192, 0, 170, 0, 0, 0, 80, 0, -26, 0, -248, 0, -80, 0, 0, 0, -274, 0, -16, 0, 24, 0, -48, 0, 0, 0, 124, 0, -112, 0, 80, 0, 2, 0, 0, 0, -288, 0, 104, 0, 92, 0, 0, 0, 0, 0, 120, 0, 128, 0, -244, 0, -120, 0, 0, 0, 208, 0, -236, 0, 88, 0, -168, 0, 0, 0, 72, 0, 216, 0, 12, 0, -228, 0, 0, 0, 192, 0, -24, 0, 84, 0, 80, 0, 0, 0, -140, 0, 240, 0, -288, 0, -108, 0, 0, 0, -58, 0, -64, 0, 32, 0, -96, 0, 0, 0, 72, 0, -224, 0, 374, 0, -102, 0, 0, 0, 144, 0, -116, 0, 172, 0, 20, 0, 0, 0, -176, 0, 348, 0, 10, 0, -44, 0, 0, 0, 84, 0, 236, 0, 76, 0, 40, 0, 0, 0, -164, 0, 80, 0], 'weight': 2, 'weight_parity': 1}
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source_label 15800.2.a.i does not appear in mf_twists_nf
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hecke_orbit_code 36028797052534200 does not appear in mf_hecke_charpolys
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label 15800.2.a.i does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 140358042
{'hecke_orbit_code': 36028797052534200, 'n': 1, 'trace_an': 3}
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id: 140358043
{'hecke_orbit_code': 36028797052534200, 'n': 2, 'trace_an': 0}
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id: 140358044
{'hecke_orbit_code': 36028797052534200, 'n': 3, 'trace_an': 1}
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id: 140358045
{'hecke_orbit_code': 36028797052534200, 'n': 4, 'trace_an': 0}
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id: 140358046
{'hecke_orbit_code': 36028797052534200, 'n': 5, 'trace_an': 0}
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id: 140358047
{'hecke_orbit_code': 36028797052534200, 'n': 6, 'trace_an': 0}
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id: 140358048
{'hecke_orbit_code': 36028797052534200, 'n': 7, 'trace_an': -1}
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id: 140358049
{'hecke_orbit_code': 36028797052534200, 'n': 8, 'trace_an': 0}
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id: 140358050
{'hecke_orbit_code': 36028797052534200, 'n': 9, 'trace_an': 4}
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id: 140358051
{'hecke_orbit_code': 36028797052534200, 'n': 10, 'trace_an': 0}
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id: 140358052
{'hecke_orbit_code': 36028797052534200, 'n': 11, 'trace_an': -1}
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id: 140358053
{'hecke_orbit_code': 36028797052534200, 'n': 12, 'trace_an': 0}
-
id: 140358054
{'hecke_orbit_code': 36028797052534200, 'n': 13, 'trace_an': 14}
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id: 140358055
{'hecke_orbit_code': 36028797052534200, 'n': 14, 'trace_an': 0}
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id: 140358056
{'hecke_orbit_code': 36028797052534200, 'n': 15, 'trace_an': 0}
-
id: 140358057
{'hecke_orbit_code': 36028797052534200, 'n': 16, 'trace_an': 0}
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id: 140358058
{'hecke_orbit_code': 36028797052534200, 'n': 17, 'trace_an': -4}
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id: 140358059
{'hecke_orbit_code': 36028797052534200, 'n': 18, 'trace_an': 0}
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id: 140358060
{'hecke_orbit_code': 36028797052534200, 'n': 19, 'trace_an': -7}
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id: 140358061
{'hecke_orbit_code': 36028797052534200, 'n': 20, 'trace_an': 0}
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id: 140358062
{'hecke_orbit_code': 36028797052534200, 'n': 21, 'trace_an': -13}
-
id: 140358063
{'hecke_orbit_code': 36028797052534200, 'n': 22, 'trace_an': 0}
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id: 140358064
{'hecke_orbit_code': 36028797052534200, 'n': 23, 'trace_an': -7}
-
id: 140358065
{'hecke_orbit_code': 36028797052534200, 'n': 24, 'trace_an': 0}
-
id: 140358066
{'hecke_orbit_code': 36028797052534200, 'n': 25, 'trace_an': 0}
-
id: 140358067
{'hecke_orbit_code': 36028797052534200, 'n': 26, 'trace_an': 0}
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id: 140358068
{'hecke_orbit_code': 36028797052534200, 'n': 27, 'trace_an': 1}
-
id: 140358069
{'hecke_orbit_code': 36028797052534200, 'n': 28, 'trace_an': 0}
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id: 140358070
{'hecke_orbit_code': 36028797052534200, 'n': 29, 'trace_an': -18}
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id: 140358071
{'hecke_orbit_code': 36028797052534200, 'n': 30, 'trace_an': 0}
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id: 140358072
{'hecke_orbit_code': 36028797052534200, 'n': 31, 'trace_an': -5}
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id: 140358073
{'hecke_orbit_code': 36028797052534200, 'n': 32, 'trace_an': 0}
-
id: 140358074
{'hecke_orbit_code': 36028797052534200, 'n': 33, 'trace_an': 20}
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id: 140358075
{'hecke_orbit_code': 36028797052534200, 'n': 34, 'trace_an': 0}
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id: 140358076
{'hecke_orbit_code': 36028797052534200, 'n': 35, 'trace_an': 0}
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id: 140358077
{'hecke_orbit_code': 36028797052534200, 'n': 36, 'trace_an': 0}
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id: 140358078
{'hecke_orbit_code': 36028797052534200, 'n': 37, 'trace_an': 8}
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id: 140358079
{'hecke_orbit_code': 36028797052534200, 'n': 38, 'trace_an': 0}
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id: 140358080
{'hecke_orbit_code': 36028797052534200, 'n': 39, 'trace_an': -3}
-
id: 140358081
{'hecke_orbit_code': 36028797052534200, 'n': 40, 'trace_an': 0}
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id: 140358082
{'hecke_orbit_code': 36028797052534200, 'n': 41, 'trace_an': -4}
-
id: 140358083
{'hecke_orbit_code': 36028797052534200, 'n': 42, 'trace_an': 0}
-
id: 140358084
{'hecke_orbit_code': 36028797052534200, 'n': 43, 'trace_an': 12}
-
id: 140358085
{'hecke_orbit_code': 36028797052534200, 'n': 44, 'trace_an': 0}
-
id: 140358086
{'hecke_orbit_code': 36028797052534200, 'n': 45, 'trace_an': 0}
-
id: 140358087
{'hecke_orbit_code': 36028797052534200, 'n': 46, 'trace_an': 0}
-
id: 140358088
{'hecke_orbit_code': 36028797052534200, 'n': 47, 'trace_an': -3}
-
id: 140358089
{'hecke_orbit_code': 36028797052534200, 'n': 48, 'trace_an': 0}
-
id: 140358090
{'hecke_orbit_code': 36028797052534200, 'n': 49, 'trace_an': -8}
-
id: 140358091
{'hecke_orbit_code': 36028797052534200, 'n': 50, 'trace_an': 0}
-
id: 140358092
{'hecke_orbit_code': 36028797052534200, 'n': 51, 'trace_an': 24}
-
id: 140358093
{'hecke_orbit_code': 36028797052534200, 'n': 52, 'trace_an': 0}
-
id: 140358094
{'hecke_orbit_code': 36028797052534200, 'n': 53, 'trace_an': -4}
-
id: 140358095
{'hecke_orbit_code': 36028797052534200, 'n': 54, 'trace_an': 0}
-
id: 140358096
{'hecke_orbit_code': 36028797052534200, 'n': 55, 'trace_an': 0}
-
id: 140358097
{'hecke_orbit_code': 36028797052534200, 'n': 56, 'trace_an': 0}
-
id: 140358098
{'hecke_orbit_code': 36028797052534200, 'n': 57, 'trace_an': 0}
-
id: 140358099
{'hecke_orbit_code': 36028797052534200, 'n': 58, 'trace_an': 0}
-
id: 140358100
{'hecke_orbit_code': 36028797052534200, 'n': 59, 'trace_an': 9}
-
id: 140358101
{'hecke_orbit_code': 36028797052534200, 'n': 60, 'trace_an': 0}
-
id: 140358102
{'hecke_orbit_code': 36028797052534200, 'n': 61, 'trace_an': -10}
-
id: 140358103
{'hecke_orbit_code': 36028797052534200, 'n': 62, 'trace_an': 0}
-
id: 140358104
{'hecke_orbit_code': 36028797052534200, 'n': 63, 'trace_an': -4}
-
id: 140358105
{'hecke_orbit_code': 36028797052534200, 'n': 64, 'trace_an': 0}
-
id: 140358106
{'hecke_orbit_code': 36028797052534200, 'n': 65, 'trace_an': 0}
-
id: 140358107
{'hecke_orbit_code': 36028797052534200, 'n': 66, 'trace_an': 0}
-
id: 140358108
{'hecke_orbit_code': 36028797052534200, 'n': 67, 'trace_an': 7}
-
id: 140358109
{'hecke_orbit_code': 36028797052534200, 'n': 68, 'trace_an': 0}
-
id: 140358110
{'hecke_orbit_code': 36028797052534200, 'n': 69, 'trace_an': 0}
-
id: 140358111
{'hecke_orbit_code': 36028797052534200, 'n': 70, 'trace_an': 0}
-
id: 140358112
{'hecke_orbit_code': 36028797052534200, 'n': 71, 'trace_an': 25}
-
id: 140358113
{'hecke_orbit_code': 36028797052534200, 'n': 72, 'trace_an': 0}
-
id: 140358114
{'hecke_orbit_code': 36028797052534200, 'n': 73, 'trace_an': 9}
-
id: 140358115
{'hecke_orbit_code': 36028797052534200, 'n': 74, 'trace_an': 0}
-
id: 140358116
{'hecke_orbit_code': 36028797052534200, 'n': 75, 'trace_an': 0}
-
id: 140358117
{'hecke_orbit_code': 36028797052534200, 'n': 76, 'trace_an': 0}
-
id: 140358118
{'hecke_orbit_code': 36028797052534200, 'n': 77, 'trace_an': -20}
-
id: 140358119
{'hecke_orbit_code': 36028797052534200, 'n': 78, 'trace_an': 0}
-
id: 140358120
{'hecke_orbit_code': 36028797052534200, 'n': 79, 'trace_an': 3}
-
id: 140358121
{'hecke_orbit_code': 36028797052534200, 'n': 80, 'trace_an': 0}
-
id: 140358122
{'hecke_orbit_code': 36028797052534200, 'n': 81, 'trace_an': -9}
-
id: 140358123
{'hecke_orbit_code': 36028797052534200, 'n': 82, 'trace_an': 0}
-
id: 140358124
{'hecke_orbit_code': 36028797052534200, 'n': 83, 'trace_an': 6}
-
id: 140358125
{'hecke_orbit_code': 36028797052534200, 'n': 84, 'trace_an': 0}
-
id: 140358126
{'hecke_orbit_code': 36028797052534200, 'n': 85, 'trace_an': 0}
-
id: 140358127
{'hecke_orbit_code': 36028797052534200, 'n': 86, 'trace_an': 0}
-
id: 140358128
{'hecke_orbit_code': 36028797052534200, 'n': 87, 'trace_an': 4}
-
id: 140358129
{'hecke_orbit_code': 36028797052534200, 'n': 88, 'trace_an': 0}
-
id: 140358130
{'hecke_orbit_code': 36028797052534200, 'n': 89, 'trace_an': 10}
-
id: 140358131
{'hecke_orbit_code': 36028797052534200, 'n': 90, 'trace_an': 0}
-
id: 140358132
{'hecke_orbit_code': 36028797052534200, 'n': 91, 'trace_an': 3}
-
id: 140358133
{'hecke_orbit_code': 36028797052534200, 'n': 92, 'trace_an': 0}
-
id: 140358134
{'hecke_orbit_code': 36028797052534200, 'n': 93, 'trace_an': -12}
-
id: 140358135
{'hecke_orbit_code': 36028797052534200, 'n': 94, 'trace_an': 0}
-
id: 140358136
{'hecke_orbit_code': 36028797052534200, 'n': 95, 'trace_an': 0}
-
id: 140358137
{'hecke_orbit_code': 36028797052534200, 'n': 96, 'trace_an': 0}
-
id: 140358138
{'hecke_orbit_code': 36028797052534200, 'n': 97, 'trace_an': 14}
-
id: 140358139
{'hecke_orbit_code': 36028797052534200, 'n': 98, 'trace_an': 0}
-
id: 140358140
{'hecke_orbit_code': 36028797052534200, 'n': 99, 'trace_an': 15}
-
id: 140358141
{'hecke_orbit_code': 36028797052534200, 'n': 100, 'trace_an': 0}