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mf_newforms • Show schema
Hide schema
{'Nk2': 129360, 'analytic_conductor': 258.23620013682074, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [5, 1], [7, 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': [32340, 1, [16171, 10781, 12937, 9901, 11761], [4, 4, 4, 4, 4]], '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': 4, 'hecke_orbit_code': 13510798915698260, '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': '32340.2.a.d', 'level': 32340, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7, 11], 'level_radical': 2310, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}-q^{5}+q^{9}-q^{11}+7q^{13}+q^{15}+\\cdots', 'related_objects': ['EllipticCurve/Q/32340/d'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '32340.2.a', 'trace_display': [0, -1, -1, 0], 'traces': [1, 0, -1, 0, -1, 0, 0, 0, 1, 0, -1, 0, 7, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, -1, 0, 2, 0, -3, 0, 1, 0, 0, 0, 12, 0, -7, 0, 6, 0, 1, 0, -1, 0, -10, 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0, 7, 0, 0, 0, 0, 0, -7, 0, -4, 0, -2, 0, 9, 0, 9, 0, -1, 0, 0, 0, -6, 0, 1, 0, 11, 0, -2, 0, -2, 0, 7, 0, 0, 0, 3, 0, 0, 0, -8, 0, -1, 0], 'weight': 2, 'weight_parity': 1}
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label 32340.2.a.d does not appear in mf_hecke_nf
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mf_newspaces • Show schema
Hide schema
{'ALdims': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 16, 17, 17, 14, 20, 20, 14, 15, 17, 18, 18, 19, 13, 15, 21], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], 'ALdims_old': [241, 256, 256, 240, 244, 252, 252, 244, 244, 252, 252, 244, 240, 256, 256, 240, 234, 232, 231, 235, 234, 232, 232, 234, 233, 235, 234, 230, 233, 235, 233, 231], 'Nk2': 129360, 'analytic_conductor': 258.23620013682074, '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': [32340, 1, [16171, 10781, 12937, 9901, 11761], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 7969, 'dim': 272, 'eis_dim': 191, 'eis_new_dim': 0, 'hecke_orbit_code': 33586772, '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, 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, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 12, 12, 12, 12], 'label': '32340.2.a', 'level': 32340, '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, 7, 11], 'level_radical': 2310, 'mf_dim': 8160, 'mf_new_dim': 272, 'num_forms': 94, 'plus_dim': 122, 'prim_orbit_index': 1, 'relative_dim': 272, 'sturm_bound': 16128, 'trace_display': [0, 0, 0, 0], 'traces': [272, 0, 0, 0, 0, 0, 0, 0, 272, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 272, 0, 0, 0, 0, 0, -16, 0, 4, 0, 0, 0, 56, 0, 48, 0, -16, 0, 72, 0, 0, 0, 0, 0, 0, 0, 16, 0, -16, 0, 0, 0, 48, 0, -16, 0, 16, 0, 0, 0, 8, 0, 40, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 272, 0, 8, 0, -8, 0, -8, 0, -16, 0, 0, 0, 40, 0, 0, 0, 16, 0, 0, 0, 0, 0, -64, 0, 0, 0, 8, 0, 8, 0, -16, 0, 16, 0, 16, 0, 0, 0, 0, 0, 272, 0, 24, 0, 0, 0, -8, 0, -32, 0, 16, 0, 0, 0, 0, 0, -16, 0, -40, 0, 16, 0, -8, 0, -8, 0, 0, 0, 0, 0, -72, 0, 8, 0, -32, 0, 0, 0, 0, 0, 0, 0, -80, 0, -4, 0, -56, 0, 344, 0, 8, 0, 24, 0, 0, 0, 32, 0, -80, 0, -32, 0, -128, 0, 0, 0, 16, 0, 0, 0, -48, 0, 56, 0, 8, 0, 8, 0, -48, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -72, 0, 16, 0, 8, 0, 0, 0, 48, 0, 16, 0, 16, 0, 272, 0, 72, 0, 32, 0, 0, 0, -8, 0, 16, 0, -56, 0, -48, 0, 32, 0, 0, 0, 0, 0, -104, 0, 64, 0, 64, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 48, 0, -32, 0, -72, 0, 0, 0, 0, 0, 88, 0, -16, 0, -64, 0, 0, 0, 0, 0, 0, 0, 240, 0, -112, 0, -88, 0, 0, 0, 4, 0, -144, 0, 0, 0, -56, 0, 0, 0, -80, 0, 56, 0, 32, 0, -16, 0, 0, 0, -32, 0, -24, 0, -48, 0, 0, 0, 0, 0, -64, 0, 0, 0, 136, 0, 56, 0, -16, 0, 40, 0, 16, 0, 16, 0, 0, 0, -16, 0, -40, 0, -32, 0, 48, 0, 96, 0, 0, 0, 0, 0, 0, 0, 264, 0, 0, 0, 24, 0, -48, 0, -16, 0, 0, 0, -56, 0, 0, 0, 48, 0, 8, 0, -48, 0, 64, 0, 0, 0, 72, 0, 64, 0, -48, 0, 32, 0, -16, 0, 0, 0, 0, 0, -32, 0, 72, 0, 0, 0, 16, 0, 64, 0, -16, 0, 0, 0, -8, 0, 16, 0, 0, 0, 120, 0, 0, 0, 8, 0, 0, 0, 8, 0, 112, 0, 0, 0, 16, 0, 144, 0, 56, 0, 0, 0, 128, 0, -16, 0, -24, 0, 112, 0, -8, 0, -72, 0, 0, 0, 200, 0, 16, 0, 64, 0, -24, 0, 16, 0, 0, 0, 0, 0, -48, 0, -8, 0, 8, 0, -16, 0, 80, 0, -32, 0, 0, 0, 64, 0, -56, 0, -48, 0, 16, 0, 0, 0, 0, 0, 0, 0, 152, 0, 16, 0, -152, 0, 8, 0, -48, 0, 192, 0, 0, 0, 48, 0, -16, 0, 48, 0, -48, 0, 48, 0, -16, 0, 0, 0, -32, 0, 368, 0, -16, 0, 224, 0, 56, 0, 16, 0, 0, 0, 152, 0, 72, 0, -48, 0, -48, 0, 16, 0, 112, 0, 0, 0, -32, 0, 296, 0, -48, 0, -8, 0, -24, 0, 32, 0, 0, 0, 272, 0, -32, 0, 96, 0, 0, 0, 208, 0, -24, 0, 0, 0, 32, 0, 8, 0, 16, 0, 56, 0, -64, 0, 232, 0, 0, 0, -112, 0, 144, 0, -16, 0, 40, 0, 0, 0, 16, 0, 0, 0, -16, 0, -32, 0, 32, 0, 128, 0, -48, 0, 16, 0, 0, 0, 272, 0, -8, 0, 192, 0, -128, 0, -120, 0, -40, 0, 0, 0, 0, 0, 16, 0, 0, 0, -16, 0, 48, 0, 16, 0, 0, 0, 208, 0, 16, 0, 0, 0, 0, 0, -48, 0, -16, 0, 0, 0, 48, 0, -192, 0, 32, 0, 24, 0, 0, 0, 104, 0, 0, 0, 80, 0, 48, 0, 32, 0, -8, 0, 288, 0, 96, 0, 0, 0, 96, 0, 48, 0, 0, 0, -256, 0, -48, 0, 32, 0, 0, 0, 80, 0, 64, 0, -112, 0, -8, 0, 96, 0, -64, 0, 0, 0, -160, 0, 0, 0, -240, 0, 272, 0, -64, 0, -96, 0, 0, 0, -48, 0, 96, 0, -96, 0, -104, 0, -40, 0, 8, 0, 0, 0, 72, 0, -64, 0, -64, 0, -112, 0, 16, 0, -144, 0, 0, 0, -8, 0, 64, 0, 96, 0, 48, 0, 48, 0, -16, 0, 0, 0, 128, 0, -32, 0, -8, 0, 64, 0, 0, 0, 32, 0, 0, 0, 0, 0, 16, 0, 144, 0, -48, 0, -16, 0, 40, 0, 0, 0, 16, 0, 80, 0, -56, 0, -120, 0, 48, 0, 192, 0, 0, 0, 352, 0, 240, 0, 4, 0, 488, 0, 176, 0, 40, 0, 0, 0, -24, 0, 40, 0, -48, 0, 496, 0, 88, 0, 0, 0, 0, 0, 120, 0, 336, 0, 176, 0, 0, 0, -120, 0, -64, 0, 0, 0, 448, 0, 24, 0, 80, 0, 48, 0, 112, 0, 16, 0, 0, 0, 192, 0, -128, 0, 288, 0, 72, 0, 32, 0, -216, 0, 0, 0, 0, 0, 256, 0, -32, 0, 80, 0, 112, 0, 208, 0, 0, 0, 0, 0, 120, 0, 0, 0, 272, 0, 48, 0, -32, 0, 0, 0, -128, 0, 56, 0, 16, 0, 56, 0, -64, 0, -16, 0, 0, 0, -32, 0, 8, 0, -240, 0, -56, 0, 256, 0, -224, 0, 0, 0, 144, 0, -136, 0, -80, 0, 120, 0, -16, 0, 16, 0, 0, 0, 504, 0, 8, 0, 56, 0, 280, 0, -16, 0, 128, 0, 0, 0, 48, 0, 544, 0, -48, 0, 8, 0, 16, 0, 56, 0, 0, 0, -16, 0, 40, 0, 80, 0, 64, 0, -112, 0, -16, 0], 'weight': 2, 'weight_parity': 1}
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source_label 32340.2.a.d does not appear in mf_twists_nf
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hecke_orbit_code 13510798915698260 does not appear in mf_hecke_charpolys
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label 32340.2.a.d does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 128208842
{'hecke_orbit_code': 13510798915698260, 'n': 1, 'trace_an': 1}
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id: 128208843
{'hecke_orbit_code': 13510798915698260, 'n': 2, 'trace_an': 0}
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id: 128208844
{'hecke_orbit_code': 13510798915698260, 'n': 3, 'trace_an': -1}
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id: 128208845
{'hecke_orbit_code': 13510798915698260, 'n': 4, 'trace_an': 0}
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id: 128208846
{'hecke_orbit_code': 13510798915698260, 'n': 5, 'trace_an': -1}
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id: 128208847
{'hecke_orbit_code': 13510798915698260, 'n': 6, 'trace_an': 0}
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id: 128208848
{'hecke_orbit_code': 13510798915698260, 'n': 7, 'trace_an': 0}
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id: 128208849
{'hecke_orbit_code': 13510798915698260, 'n': 8, 'trace_an': 0}
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id: 128208850
{'hecke_orbit_code': 13510798915698260, 'n': 9, 'trace_an': 1}
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id: 128208851
{'hecke_orbit_code': 13510798915698260, 'n': 10, 'trace_an': 0}
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id: 128208852
{'hecke_orbit_code': 13510798915698260, 'n': 11, 'trace_an': -1}
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id: 128208853
{'hecke_orbit_code': 13510798915698260, 'n': 12, 'trace_an': 0}
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id: 128208854
{'hecke_orbit_code': 13510798915698260, 'n': 13, 'trace_an': 7}
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id: 128208855
{'hecke_orbit_code': 13510798915698260, 'n': 14, 'trace_an': 0}
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id: 128208856
{'hecke_orbit_code': 13510798915698260, 'n': 15, 'trace_an': 1}
-
id: 128208857
{'hecke_orbit_code': 13510798915698260, 'n': 16, 'trace_an': 0}
-
id: 128208858
{'hecke_orbit_code': 13510798915698260, 'n': 17, 'trace_an': 2}
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id: 128208859
{'hecke_orbit_code': 13510798915698260, 'n': 18, 'trace_an': 0}
-
id: 128208860
{'hecke_orbit_code': 13510798915698260, 'n': 19, 'trace_an': 0}
-
id: 128208861
{'hecke_orbit_code': 13510798915698260, 'n': 20, 'trace_an': 0}
-
id: 128208862
{'hecke_orbit_code': 13510798915698260, 'n': 21, 'trace_an': 0}
-
id: 128208863
{'hecke_orbit_code': 13510798915698260, 'n': 22, 'trace_an': 0}
-
id: 128208864
{'hecke_orbit_code': 13510798915698260, 'n': 23, 'trace_an': 2}
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id: 128208865
{'hecke_orbit_code': 13510798915698260, 'n': 24, 'trace_an': 0}
-
id: 128208866
{'hecke_orbit_code': 13510798915698260, 'n': 25, 'trace_an': 1}
-
id: 128208867
{'hecke_orbit_code': 13510798915698260, 'n': 26, 'trace_an': 0}
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id: 128208868
{'hecke_orbit_code': 13510798915698260, 'n': 27, 'trace_an': -1}
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id: 128208869
{'hecke_orbit_code': 13510798915698260, 'n': 28, 'trace_an': 0}
-
id: 128208870
{'hecke_orbit_code': 13510798915698260, 'n': 29, 'trace_an': 2}
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id: 128208871
{'hecke_orbit_code': 13510798915698260, 'n': 30, 'trace_an': 0}
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id: 128208872
{'hecke_orbit_code': 13510798915698260, 'n': 31, 'trace_an': -3}
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id: 128208873
{'hecke_orbit_code': 13510798915698260, 'n': 32, 'trace_an': 0}
-
id: 128208874
{'hecke_orbit_code': 13510798915698260, 'n': 33, 'trace_an': 1}
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id: 128208875
{'hecke_orbit_code': 13510798915698260, 'n': 34, 'trace_an': 0}
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id: 128208876
{'hecke_orbit_code': 13510798915698260, 'n': 35, 'trace_an': 0}
-
id: 128208877
{'hecke_orbit_code': 13510798915698260, 'n': 36, 'trace_an': 0}
-
id: 128208878
{'hecke_orbit_code': 13510798915698260, 'n': 37, 'trace_an': 12}
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id: 128208879
{'hecke_orbit_code': 13510798915698260, 'n': 38, 'trace_an': 0}
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id: 128208880
{'hecke_orbit_code': 13510798915698260, 'n': 39, 'trace_an': -7}
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id: 128208881
{'hecke_orbit_code': 13510798915698260, 'n': 40, 'trace_an': 0}
-
id: 128208882
{'hecke_orbit_code': 13510798915698260, 'n': 41, 'trace_an': 6}
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id: 128208883
{'hecke_orbit_code': 13510798915698260, 'n': 42, 'trace_an': 0}
-
id: 128208884
{'hecke_orbit_code': 13510798915698260, 'n': 43, 'trace_an': 1}
-
id: 128208885
{'hecke_orbit_code': 13510798915698260, 'n': 44, 'trace_an': 0}
-
id: 128208886
{'hecke_orbit_code': 13510798915698260, 'n': 45, 'trace_an': -1}
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id: 128208887
{'hecke_orbit_code': 13510798915698260, 'n': 46, 'trace_an': 0}
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id: 128208888
{'hecke_orbit_code': 13510798915698260, 'n': 47, 'trace_an': -10}
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id: 128208889
{'hecke_orbit_code': 13510798915698260, 'n': 48, 'trace_an': 0}
-
id: 128208890
{'hecke_orbit_code': 13510798915698260, 'n': 49, 'trace_an': 0}
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id: 128208891
{'hecke_orbit_code': 13510798915698260, 'n': 50, 'trace_an': 0}
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id: 128208892
{'hecke_orbit_code': 13510798915698260, 'n': 51, 'trace_an': -2}
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id: 128208893
{'hecke_orbit_code': 13510798915698260, 'n': 52, 'trace_an': 0}
-
id: 128208894
{'hecke_orbit_code': 13510798915698260, 'n': 53, 'trace_an': 0}
-
id: 128208895
{'hecke_orbit_code': 13510798915698260, 'n': 54, 'trace_an': 0}
-
id: 128208896
{'hecke_orbit_code': 13510798915698260, 'n': 55, 'trace_an': 1}
-
id: 128208897
{'hecke_orbit_code': 13510798915698260, 'n': 56, 'trace_an': 0}
-
id: 128208898
{'hecke_orbit_code': 13510798915698260, 'n': 57, 'trace_an': 0}
-
id: 128208899
{'hecke_orbit_code': 13510798915698260, 'n': 58, 'trace_an': 0}
-
id: 128208900
{'hecke_orbit_code': 13510798915698260, 'n': 59, 'trace_an': 7}
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id: 128208901
{'hecke_orbit_code': 13510798915698260, 'n': 60, 'trace_an': 0}
-
id: 128208902
{'hecke_orbit_code': 13510798915698260, 'n': 61, 'trace_an': 0}
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id: 128208903
{'hecke_orbit_code': 13510798915698260, 'n': 62, 'trace_an': 0}
-
id: 128208904
{'hecke_orbit_code': 13510798915698260, 'n': 63, 'trace_an': 0}
-
id: 128208905
{'hecke_orbit_code': 13510798915698260, 'n': 64, 'trace_an': 0}
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id: 128208906
{'hecke_orbit_code': 13510798915698260, 'n': 65, 'trace_an': -7}
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id: 128208907
{'hecke_orbit_code': 13510798915698260, 'n': 66, 'trace_an': 0}
-
id: 128208908
{'hecke_orbit_code': 13510798915698260, 'n': 67, 'trace_an': -4}
-
id: 128208909
{'hecke_orbit_code': 13510798915698260, 'n': 68, 'trace_an': 0}
-
id: 128208910
{'hecke_orbit_code': 13510798915698260, 'n': 69, 'trace_an': -2}
-
id: 128208911
{'hecke_orbit_code': 13510798915698260, 'n': 70, 'trace_an': 0}
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id: 128208912
{'hecke_orbit_code': 13510798915698260, 'n': 71, 'trace_an': 9}
-
id: 128208913
{'hecke_orbit_code': 13510798915698260, 'n': 72, 'trace_an': 0}
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id: 128208914
{'hecke_orbit_code': 13510798915698260, 'n': 73, 'trace_an': 9}
-
id: 128208915
{'hecke_orbit_code': 13510798915698260, 'n': 74, 'trace_an': 0}
-
id: 128208916
{'hecke_orbit_code': 13510798915698260, 'n': 75, 'trace_an': -1}
-
id: 128208917
{'hecke_orbit_code': 13510798915698260, 'n': 76, 'trace_an': 0}
-
id: 128208918
{'hecke_orbit_code': 13510798915698260, 'n': 77, 'trace_an': 0}
-
id: 128208919
{'hecke_orbit_code': 13510798915698260, 'n': 78, 'trace_an': 0}
-
id: 128208920
{'hecke_orbit_code': 13510798915698260, 'n': 79, 'trace_an': -6}
-
id: 128208921
{'hecke_orbit_code': 13510798915698260, 'n': 80, 'trace_an': 0}
-
id: 128208922
{'hecke_orbit_code': 13510798915698260, 'n': 81, 'trace_an': 1}
-
id: 128208923
{'hecke_orbit_code': 13510798915698260, 'n': 82, 'trace_an': 0}
-
id: 128208924
{'hecke_orbit_code': 13510798915698260, 'n': 83, 'trace_an': 11}
-
id: 128208925
{'hecke_orbit_code': 13510798915698260, 'n': 84, 'trace_an': 0}
-
id: 128208926
{'hecke_orbit_code': 13510798915698260, 'n': 85, 'trace_an': -2}
-
id: 128208927
{'hecke_orbit_code': 13510798915698260, 'n': 86, 'trace_an': 0}
-
id: 128208928
{'hecke_orbit_code': 13510798915698260, 'n': 87, 'trace_an': -2}
-
id: 128208929
{'hecke_orbit_code': 13510798915698260, 'n': 88, 'trace_an': 0}
-
id: 128208930
{'hecke_orbit_code': 13510798915698260, 'n': 89, 'trace_an': 7}
-
id: 128208931
{'hecke_orbit_code': 13510798915698260, 'n': 90, 'trace_an': 0}
-
id: 128208932
{'hecke_orbit_code': 13510798915698260, 'n': 91, 'trace_an': 0}
-
id: 128208933
{'hecke_orbit_code': 13510798915698260, 'n': 92, 'trace_an': 0}
-
id: 128208934
{'hecke_orbit_code': 13510798915698260, 'n': 93, 'trace_an': 3}
-
id: 128208935
{'hecke_orbit_code': 13510798915698260, 'n': 94, 'trace_an': 0}
-
id: 128208936
{'hecke_orbit_code': 13510798915698260, 'n': 95, 'trace_an': 0}
-
id: 128208937
{'hecke_orbit_code': 13510798915698260, 'n': 96, 'trace_an': 0}
-
id: 128208938
{'hecke_orbit_code': 13510798915698260, 'n': 97, 'trace_an': -8}
-
id: 128208939
{'hecke_orbit_code': 13510798915698260, 'n': 98, 'trace_an': 0}
-
id: 128208940
{'hecke_orbit_code': 13510798915698260, 'n': 99, 'trace_an': -1}
-
id: 128208941
{'hecke_orbit_code': 13510798915698260, 'n': 100, 'trace_an': 0}