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mf_newforms • Show schema
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{'Nk2': 68544, 'analytic_conductor': 136.83164890366606, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [7, 1], [17, -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': [17136, 1, [2143, 12853, 3809, 14689, 14113], [26, 26, 26, 26, 26]], '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': 26, 'hecke_orbit_code': 112589990717833968, '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': '17136.2.a.z', 'level': 17136, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 17], 'level_radical': 714, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{5}-q^{7}-q^{11}-q^{13}+q^{17}-5q^{19}+\\cdots', 'related_objects': ['EllipticCurve/Q/17136/z'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '17136.2.a', 'trace_display': [0, 0, 1, -1], 'traces': [1, 0, 0, 0, 1, 0, -1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, -5, 0, 0, 0, -1, 0, -4, 0, 0, 0, 2, 0, 6, 0, 0, 0, -1, 0, 8, 0, 0, 0, -5, 0, 1, 0, 0, 0, -2, 0, 1, 0, 0, 0, 6, 0, -1, 0, 0, 0, -2, 0, 8, 0, 0, 0, -1, 0, 4, 0, 0, 0, -12, 0, 14, 0, 0, 0, 1, 0, 10, 0, 0, 0, -6, 0, 1, 0, 0, 0, 12, 0, 1, 0, 0, 0, -5, 0, -12, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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label 17136.2.a.z does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [12, 12, 12, 12, 18, 18, 18, 18, 11, 11, 13, 13, 16, 21, 20, 15], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [183, 220, 212, 190, 195, 195, 195, 195, 201, 203, 209, 191, 197, 192, 193, 198], 'Nk2': 68544, 'analytic_conductor': 136.83164890366606, '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': [17136, 1, [2143, 12853, 3809, 14689, 14113], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 3409, 'dim': 240, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_orbit_code': 33571568, '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, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 7, 7, 7, 7], 'label': '17136.2.a', 'level': 17136, '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, 7, 17], 'level_radical': 714, 'mf_dim': 3504, 'mf_new_dim': 240, 'num_forms': 108, 'plus_dim': 115, 'prim_orbit_index': 1, 'relative_dim': 240, 'sturm_bound': 6912, 'trace_display': [0, 0, 0, 2], 'traces': [240, 0, 0, 0, 0, 0, 2, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 240, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -28, 0, 0, 0, 24, 0, 240, 0, 0, 0, -8, 0, -8, 0, 0, 0, -24, 0, 0, 0, 0, 0, -16, 0, 28, 0, 0, 0, -24, 0, 0, 0, 0, 0, -8, 0, 24, 0, 0, 0, 40, 0, 0, 0, 0, 0, 16, 0, -12, 0, 0, 0, -16, 0, 16, 0, 0, 0, 48, 0, -104, 0, 0, 0, -40, 0, -8, 0, 0, 0, 0, 0, -8, 0, 0, 0, -10, 0, 224, 0, 0, 0, -48, 0, -20, 0, 0, 0, -64, 0, 0, 0, 0, 0, -16, 0, -32, 0, 0, 0, 112, 0, 0, 0, 0, 0, 8, 0, 28, 0, 0, 0, -20, 0, 80, 0, 0, 0, -16, 0, -80, 0, 0, 0, -48, 0, 256, 0, 0, 0, 64, 0, 14, 0, 0, 0, 44, 0, 64, 0, 0, 0, 80, 0, 0, 0, 0, 0, 4, 0, 16, 0, 0, 0, -40, 0, -96, 0, 0, 0, 4, 0, 64, 0, 0, 0, 48, 0, 64, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, -96, 0, -16, 0, 0, 0, 48, 0, -128, 0, 0, 0, -84, 0, 16, 0, 0, 0, 0, 0, -96, 0, 0, 0, 24, 0, -48, 0, 0, 0, 80, 0, 4, 0, 0, 0, -40, 0, 32, 0, 0, 0, -48, 0, 72, 0, 0, 0, 56, 0, 24, 0, 0, 0, -16, 0, 48, 0, 0, 0, -24, 0, 240, 0, 0, 0, 112, 0, -120, 0, 0, 0, 16, 0, -8, 0, 0, 0, -32, 0, -8, 0, 0, 0, 112, 0, 0, 0, 0, 0, -24, 0, -48, 0, 0, 0, 24, 0, -16, 0, 0, 0, 0, 0, 68, 0, 0, 0, 16, 0, -48, 0, 0, 0, -176, 0, 2, 0, 0, 0, 16, 0, -16, 0, 0, 0, 32, 0, -80, 0, 0, 0, 92, 0, 192, 0, 0, 0, 48, 0, 32, 0, 0, 0, 76, 0, 8, 0, 0, 0, 16, 0, -80, 0, 0, 0, 48, 0, 0, 0, 0, 0, 136, 0, 0, 0, 0, 0, -64, 0, -112, 0, 0, 0, 32, 0, 8, 0, 0, 0, -16, 0, 16, 0, 0, 0, 0, 0, 8, 0, 0, 0, 64, 0, -24, 0, 0, 0, 0, 0, -48, 0, 0, 0, 48, 0, -64, 0, 0, 0, -16, 0, 80, 0, 0, 0, -88, 0, 80, 0, 0, 0, 96, 0, 264, 0, 0, 0, 0, 0, -96, 0, 0, 0, 128, 0, 76, 0, 0, 0, -240, 0, -40, 0, 0, 0, 16, 0, -176, 0, 0, 0, 48, 0, -96, 0, 0, 0, -56, 0, -120, 0, 0, 0, 172, 0, 0, 0, 0, 0, -48, 0, -16, 0, 0, 0, -64, 0, -16, 0, 0, 0, 144, 0, 0, 0, 0, 0, 176, 0, 80, 0, 0, 0, -48, 0, -48, 0, 0, 0, -36, 0, 288, 0, 0, 0, 0, 0, -152, 0, 0, 0, 16, 0, -104, 0, 0, 0, 112, 0, 32, 0, 0, 0, 192, 0, 32, 0, 0, 0, 48, 0, 0, 0, 0, 0, -200, 0, -48, 0, 0, 0, 32, 0, -40, 0, 0, 0, -416, 0, -64, 0, 0, 0, 16, 0, -8, 0, 0, 0, 24, 0, -112, 0, 0, 0, 128, 0, -12, 0, 0, 0, 20, 0, -16, 0, 0, 0, 96, 0, 16, 0, 0, 0, -256, 0, -56, 0, 0, 0, 48, 0, 224, 0, 0, 0, -44, 0, 384, 0, 0, 0, 16, 0, 132, 0, 0, 0, -240, 0, 0, 0, 0, 0, -80, 0, 96, 0, 0, 0, -40, 0, 160, 0, 0, 0, 8, 0, 352, 0, 0, 0, 12, 0, -16, 0, 0, 0, 16, 0, 48, 0, 0, 0, -56, 0, 112, 0, 0, 0, -128, 0, 48, 0, 0, 0, 280, 0, -64, 0, 0, 0, 64, 0, 0, 0, 0, 0, -28, 0, -16, 0, 0, 0, -48, 0, -80, 0, 0, 0, 36, 0, -184, 0, 0, 0, 96, 0, -112, 0, 0, 0, -96, 0, 0, 0, 0, 0, 104, 0, -48, 0, 0, 0, 0, 0, -96, 0, 0, 0, -176, 0, 252, 0, 0, 0, -24, 0, 64, 0, 0, 0, -56, 0, 296, 0, 0, 0, -80, 0, -136, 0, 0, 0, -48, 0, 52, 0, 0, 0, -112, 0, 16, 0, 0, 0, 48, 0, 112, 0, 0, 0, 8, 0, -48, 0, 0, 0, 128, 0, 16, 0, 0, 0, -20, 0, 208, 0, 0, 0, 0, 0, 32, 0, 0, 0, -56, 0, 0, 0, 0, 0, 112, 0, 144, 0, 0, 0, 504, 0, -32, 0, 0, 0, 168, 0, -40, 0, 0, 0, 160, 0, -240, 0, 0, 0, 0, 0, 536, 0, 0, 0, 256, 0, 256, 0, 0, 0, -128, 0, 122, 0, 0, 0, 288, 0, -208, 0, 0, 0, 0, 0, 216, 0, 0, 0, 268, 0, 112, 0, 0, 0, -128, 0, 200, 0, 0, 0, -24, 0, -120, 0, 0, 0, 0, 0, -204, 0, 0, 0, -160, 0, -64, 0, 0, 0, -80, 0, -224, 0, 0, 0, -48, 0, 0, 0, 0, 0, 208, 0, -96, 0, 0, 0, -176, 0, 272, 0, 0, 0, 40, 0, 244, 0, 0, 0, 336, 0, -24, 0, 0, 0, 272, 0, 0, 0, 0, 0, -56, 0, 64, 0, 0, 0, -144, 0, -280, 0, 0, 0, -112, 0, -144, 0, 0, 0, -80, 0, -128, 0, 0, 0, -44, 0, 288, 0, 0, 0, 0, 0, 140, 0, 0, 0, -72, 0, 112, 0, 0, 0, 80, 0, -640, 0, 0, 0, 112, 0, 208, 0, 0, 0, -112, 0, -136, 0, 0, 0, -104, 0, -176, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 17136.2.a.z does not appear in mf_twists_nf
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hecke_orbit_code 112589990717833968 does not appear in mf_hecke_charpolys
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label 17136.2.a.z does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 161544842
{'hecke_orbit_code': 112589990717833968, 'n': 1, 'trace_an': 1}
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id: 161544843
{'hecke_orbit_code': 112589990717833968, 'n': 2, 'trace_an': 0}
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id: 161544844
{'hecke_orbit_code': 112589990717833968, 'n': 3, 'trace_an': 0}
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id: 161544845
{'hecke_orbit_code': 112589990717833968, 'n': 4, 'trace_an': 0}
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id: 161544846
{'hecke_orbit_code': 112589990717833968, 'n': 5, 'trace_an': 1}
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id: 161544847
{'hecke_orbit_code': 112589990717833968, 'n': 6, 'trace_an': 0}
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id: 161544848
{'hecke_orbit_code': 112589990717833968, 'n': 7, 'trace_an': -1}
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id: 161544849
{'hecke_orbit_code': 112589990717833968, 'n': 8, 'trace_an': 0}
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id: 161544850
{'hecke_orbit_code': 112589990717833968, 'n': 9, 'trace_an': 0}
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id: 161544851
{'hecke_orbit_code': 112589990717833968, 'n': 10, 'trace_an': 0}
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id: 161544852
{'hecke_orbit_code': 112589990717833968, 'n': 11, 'trace_an': -1}
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id: 161544853
{'hecke_orbit_code': 112589990717833968, 'n': 12, 'trace_an': 0}
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id: 161544854
{'hecke_orbit_code': 112589990717833968, 'n': 13, 'trace_an': -1}
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id: 161544855
{'hecke_orbit_code': 112589990717833968, 'n': 14, 'trace_an': 0}
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id: 161544856
{'hecke_orbit_code': 112589990717833968, 'n': 15, 'trace_an': 0}
-
id: 161544857
{'hecke_orbit_code': 112589990717833968, 'n': 16, 'trace_an': 0}
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id: 161544858
{'hecke_orbit_code': 112589990717833968, 'n': 17, 'trace_an': 1}
-
id: 161544859
{'hecke_orbit_code': 112589990717833968, 'n': 18, 'trace_an': 0}
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id: 161544860
{'hecke_orbit_code': 112589990717833968, 'n': 19, 'trace_an': -5}
-
id: 161544861
{'hecke_orbit_code': 112589990717833968, 'n': 20, 'trace_an': 0}
-
id: 161544862
{'hecke_orbit_code': 112589990717833968, 'n': 21, 'trace_an': 0}
-
id: 161544863
{'hecke_orbit_code': 112589990717833968, 'n': 22, 'trace_an': 0}
-
id: 161544864
{'hecke_orbit_code': 112589990717833968, 'n': 23, 'trace_an': -1}
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id: 161544865
{'hecke_orbit_code': 112589990717833968, 'n': 24, 'trace_an': 0}
-
id: 161544866
{'hecke_orbit_code': 112589990717833968, 'n': 25, 'trace_an': -4}
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id: 161544867
{'hecke_orbit_code': 112589990717833968, 'n': 26, 'trace_an': 0}
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id: 161544868
{'hecke_orbit_code': 112589990717833968, 'n': 27, 'trace_an': 0}
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id: 161544869
{'hecke_orbit_code': 112589990717833968, 'n': 28, 'trace_an': 0}
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id: 161544870
{'hecke_orbit_code': 112589990717833968, 'n': 29, 'trace_an': 2}
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id: 161544871
{'hecke_orbit_code': 112589990717833968, 'n': 30, 'trace_an': 0}
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id: 161544872
{'hecke_orbit_code': 112589990717833968, 'n': 31, 'trace_an': 6}
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id: 161544873
{'hecke_orbit_code': 112589990717833968, 'n': 32, 'trace_an': 0}
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id: 161544874
{'hecke_orbit_code': 112589990717833968, 'n': 33, 'trace_an': 0}
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id: 161544875
{'hecke_orbit_code': 112589990717833968, 'n': 34, 'trace_an': 0}
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id: 161544876
{'hecke_orbit_code': 112589990717833968, 'n': 35, 'trace_an': -1}
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id: 161544877
{'hecke_orbit_code': 112589990717833968, 'n': 36, 'trace_an': 0}
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id: 161544878
{'hecke_orbit_code': 112589990717833968, 'n': 37, 'trace_an': 8}
-
id: 161544879
{'hecke_orbit_code': 112589990717833968, 'n': 38, 'trace_an': 0}
-
id: 161544880
{'hecke_orbit_code': 112589990717833968, 'n': 39, 'trace_an': 0}
-
id: 161544881
{'hecke_orbit_code': 112589990717833968, 'n': 40, 'trace_an': 0}
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id: 161544882
{'hecke_orbit_code': 112589990717833968, 'n': 41, 'trace_an': -5}
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id: 161544883
{'hecke_orbit_code': 112589990717833968, 'n': 42, 'trace_an': 0}
-
id: 161544884
{'hecke_orbit_code': 112589990717833968, 'n': 43, 'trace_an': 1}
-
id: 161544885
{'hecke_orbit_code': 112589990717833968, 'n': 44, 'trace_an': 0}
-
id: 161544886
{'hecke_orbit_code': 112589990717833968, 'n': 45, 'trace_an': 0}
-
id: 161544887
{'hecke_orbit_code': 112589990717833968, 'n': 46, 'trace_an': 0}
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id: 161544888
{'hecke_orbit_code': 112589990717833968, 'n': 47, 'trace_an': -2}
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id: 161544889
{'hecke_orbit_code': 112589990717833968, 'n': 48, 'trace_an': 0}
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id: 161544890
{'hecke_orbit_code': 112589990717833968, 'n': 49, 'trace_an': 1}
-
id: 161544891
{'hecke_orbit_code': 112589990717833968, 'n': 50, 'trace_an': 0}
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id: 161544892
{'hecke_orbit_code': 112589990717833968, 'n': 51, 'trace_an': 0}
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id: 161544893
{'hecke_orbit_code': 112589990717833968, 'n': 52, 'trace_an': 0}
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id: 161544894
{'hecke_orbit_code': 112589990717833968, 'n': 53, 'trace_an': 6}
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id: 161544895
{'hecke_orbit_code': 112589990717833968, 'n': 54, 'trace_an': 0}
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id: 161544896
{'hecke_orbit_code': 112589990717833968, 'n': 55, 'trace_an': -1}
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id: 161544897
{'hecke_orbit_code': 112589990717833968, 'n': 56, 'trace_an': 0}
-
id: 161544898
{'hecke_orbit_code': 112589990717833968, 'n': 57, 'trace_an': 0}
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id: 161544899
{'hecke_orbit_code': 112589990717833968, 'n': 58, 'trace_an': 0}
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id: 161544900
{'hecke_orbit_code': 112589990717833968, 'n': 59, 'trace_an': -2}
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id: 161544901
{'hecke_orbit_code': 112589990717833968, 'n': 60, 'trace_an': 0}
-
id: 161544902
{'hecke_orbit_code': 112589990717833968, 'n': 61, 'trace_an': 8}
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id: 161544903
{'hecke_orbit_code': 112589990717833968, 'n': 62, 'trace_an': 0}
-
id: 161544904
{'hecke_orbit_code': 112589990717833968, 'n': 63, 'trace_an': 0}
-
id: 161544905
{'hecke_orbit_code': 112589990717833968, 'n': 64, 'trace_an': 0}
-
id: 161544906
{'hecke_orbit_code': 112589990717833968, 'n': 65, 'trace_an': -1}
-
id: 161544907
{'hecke_orbit_code': 112589990717833968, 'n': 66, 'trace_an': 0}
-
id: 161544908
{'hecke_orbit_code': 112589990717833968, 'n': 67, 'trace_an': 4}
-
id: 161544909
{'hecke_orbit_code': 112589990717833968, 'n': 68, 'trace_an': 0}
-
id: 161544910
{'hecke_orbit_code': 112589990717833968, 'n': 69, 'trace_an': 0}
-
id: 161544911
{'hecke_orbit_code': 112589990717833968, 'n': 70, 'trace_an': 0}
-
id: 161544912
{'hecke_orbit_code': 112589990717833968, 'n': 71, 'trace_an': -12}
-
id: 161544913
{'hecke_orbit_code': 112589990717833968, 'n': 72, 'trace_an': 0}
-
id: 161544914
{'hecke_orbit_code': 112589990717833968, 'n': 73, 'trace_an': 14}
-
id: 161544915
{'hecke_orbit_code': 112589990717833968, 'n': 74, 'trace_an': 0}
-
id: 161544916
{'hecke_orbit_code': 112589990717833968, 'n': 75, 'trace_an': 0}
-
id: 161544917
{'hecke_orbit_code': 112589990717833968, 'n': 76, 'trace_an': 0}
-
id: 161544918
{'hecke_orbit_code': 112589990717833968, 'n': 77, 'trace_an': 1}
-
id: 161544919
{'hecke_orbit_code': 112589990717833968, 'n': 78, 'trace_an': 0}
-
id: 161544920
{'hecke_orbit_code': 112589990717833968, 'n': 79, 'trace_an': 10}
-
id: 161544921
{'hecke_orbit_code': 112589990717833968, 'n': 80, 'trace_an': 0}
-
id: 161544922
{'hecke_orbit_code': 112589990717833968, 'n': 81, 'trace_an': 0}
-
id: 161544923
{'hecke_orbit_code': 112589990717833968, 'n': 82, 'trace_an': 0}
-
id: 161544924
{'hecke_orbit_code': 112589990717833968, 'n': 83, 'trace_an': -6}
-
id: 161544925
{'hecke_orbit_code': 112589990717833968, 'n': 84, 'trace_an': 0}
-
id: 161544926
{'hecke_orbit_code': 112589990717833968, 'n': 85, 'trace_an': 1}
-
id: 161544927
{'hecke_orbit_code': 112589990717833968, 'n': 86, 'trace_an': 0}
-
id: 161544928
{'hecke_orbit_code': 112589990717833968, 'n': 87, 'trace_an': 0}
-
id: 161544929
{'hecke_orbit_code': 112589990717833968, 'n': 88, 'trace_an': 0}
-
id: 161544930
{'hecke_orbit_code': 112589990717833968, 'n': 89, 'trace_an': 12}
-
id: 161544931
{'hecke_orbit_code': 112589990717833968, 'n': 90, 'trace_an': 0}
-
id: 161544932
{'hecke_orbit_code': 112589990717833968, 'n': 91, 'trace_an': 1}
-
id: 161544933
{'hecke_orbit_code': 112589990717833968, 'n': 92, 'trace_an': 0}
-
id: 161544934
{'hecke_orbit_code': 112589990717833968, 'n': 93, 'trace_an': 0}
-
id: 161544935
{'hecke_orbit_code': 112589990717833968, 'n': 94, 'trace_an': 0}
-
id: 161544936
{'hecke_orbit_code': 112589990717833968, 'n': 95, 'trace_an': -5}
-
id: 161544937
{'hecke_orbit_code': 112589990717833968, 'n': 96, 'trace_an': 0}
-
id: 161544938
{'hecke_orbit_code': 112589990717833968, 'n': 97, 'trace_an': -12}
-
id: 161544939
{'hecke_orbit_code': 112589990717833968, 'n': 98, 'trace_an': 0}
-
id: 161544940
{'hecke_orbit_code': 112589990717833968, 'n': 99, 'trace_an': 0}
-
id: 161544941
{'hecke_orbit_code': 112589990717833968, 'n': 100, 'trace_an': 0}