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mf_newforms • Show schema
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{'Nk2': 57600, 'analytic_conductor': 114.98457891064375, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, -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': [14400, 1, [13951, 901, 6401, 577], [49, 49, 49, 49]], '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': 49, 'hecke_orbit_code': 216172782147352640, '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': '14400.2.a.bw', 'level': 14400, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-2q^{7}+6q^{11}+2q^{13}+6q^{17}+4q^{19}+\\cdots', 'related_objects': ['EllipticCurve/Q/14400/bw'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '14400.2.a', 'trace_display': [0, 0, 0, -2], 'traces': [1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 6, 0, 2, 0, 0, 0, 6, 0, 4, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -2, 0, 0, 0, 6, 0, 4, 0, 0, 0, -4, 0, -3, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 12, 0, 0, 0, -12, 0, 8, 0, 0, 0, -12, 0, 0, 0, 0, 0, -14, 0, -4, 0, 0, 0, 0, 0, 8, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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label 14400.2.a.bw does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [17, 22, 27, 28, 19, 18, 26, 30], 'ALdims_eis_new': [0, 0, 1, 2, 0, 0, 1, 2], 'ALdims_eis_old': [35, 36, 35, 34, 36, 36, 35, 34], 'ALdims_old': [320, 322, 321, 312, 329, 322, 310, 314], 'Nk2': 57600, 'analytic_conductor': 114.98457891064375, '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': [14400, 1, [13951, 901, 6401, 577], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 2737, 'dim': 187, 'eis_dim': 287, 'eis_new_dim': 6, 'hecke_orbit_code': 33568832, '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, 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, 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, 4, 4], 'label': '14400.2.a', 'level': 14400, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 3024, 'mf_new_dim': 193, 'num_forms': 162, 'plus_dim': 89, 'prim_orbit_index': 1, 'relative_dim': 187, 'sturm_bound': 5760, 'trace_display': [0, 0, 0, 0], 'traces': [187, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 171, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, -22, 0, 0, 0, 0, 0, 0, 0, 151, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -62, 0, 0, 0, 0, 0, 0, 0, 38, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 133, 0, 0, 0, -70, 0, 0, 0, 0, 0, 0, 0, 38, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -84, 0, 0, 0, 0, 0, 0, 0, -82, 0, 0, 0, 34, 0, 0, 0, 0, 0, 0, 0, -42, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 26, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -118, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -38, 0, 0, 0, 0, 0, 0, 0, 153, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 38, 0, 0, 0, -150, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 62, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 22, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 159, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -34, 0, 0, 0, 68, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 66, 0, 0, 0, 0, 0, 0, 0, -58, 0, 0, 0, 50, 0, 0, 0, 0, 0, 0, 0, 38, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 246, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 90, 0, 0, 0, 0, 0, 0, 0, 38, 0, 0, 0, 50, 0, 0, 0, 0, 0, 0, 0, 200, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 148, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 186, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 170, 0, 0, 0, 0, 0, 0, 0, 59, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 46, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 250, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 62, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 74, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 94, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -228, 0, 0, 0, 0, 0, 0, 0, 150, 0, 0, 0, 82, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, -54, 0, 0, 0, 0, 0, 0, 0, 150, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -130, 0, 0, 0, -110, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 140, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 98, 0, 0, 0, 0, 0, 0, 0, 78, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -26, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -200, 0, 0, 0, 0, 0, 0, 0, 62, 0, 0, 0, 122, 0, 0, 0, 0, 0, 0, 0, -34, 0, 0, 0, 66, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, -326, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -94, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 186, 0, 0, 0, 0, 0, 0, 0, -106, 0, 0, 0, -86, 0, 0, 0, 0, 0, 0, 0, 77, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 174, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 336, 0, 0, 0, 0, 0, 0, 0, -106, 0, 0, 0, 66, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, -220, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 58, 0, 0, 0, 0, 0, 0, 0, 118, 0, 0, 0, 66, 0, 0, 0, 0, 0, 0, 0, 244, 0, 0, 0, 34, 0, 0, 0, 0, 0, 0, 0, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 392, 0, 0, 0, 0, 0, 0, 0, 94, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 14400.2.a.bw does not appear in mf_twists_nf
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hecke_orbit_code 216172782147352640 does not appear in mf_hecke_charpolys
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label 14400.2.a.bw does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 172589042
{'hecke_orbit_code': 216172782147352640, 'n': 1, 'trace_an': 1}
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id: 172589043
{'hecke_orbit_code': 216172782147352640, 'n': 2, 'trace_an': 0}
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id: 172589044
{'hecke_orbit_code': 216172782147352640, 'n': 3, 'trace_an': 0}
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id: 172589045
{'hecke_orbit_code': 216172782147352640, 'n': 4, 'trace_an': 0}
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id: 172589046
{'hecke_orbit_code': 216172782147352640, 'n': 5, 'trace_an': 0}
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id: 172589047
{'hecke_orbit_code': 216172782147352640, 'n': 6, 'trace_an': 0}
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id: 172589048
{'hecke_orbit_code': 216172782147352640, 'n': 7, 'trace_an': -2}
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id: 172589049
{'hecke_orbit_code': 216172782147352640, 'n': 8, 'trace_an': 0}
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id: 172589050
{'hecke_orbit_code': 216172782147352640, 'n': 9, 'trace_an': 0}
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id: 172589051
{'hecke_orbit_code': 216172782147352640, 'n': 10, 'trace_an': 0}
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id: 172589052
{'hecke_orbit_code': 216172782147352640, 'n': 11, 'trace_an': 6}
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id: 172589053
{'hecke_orbit_code': 216172782147352640, 'n': 12, 'trace_an': 0}
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id: 172589054
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id: 172589055
{'hecke_orbit_code': 216172782147352640, 'n': 14, 'trace_an': 0}
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id: 172589056
{'hecke_orbit_code': 216172782147352640, 'n': 15, 'trace_an': 0}
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id: 172589057
{'hecke_orbit_code': 216172782147352640, 'n': 16, 'trace_an': 0}
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id: 172589058
{'hecke_orbit_code': 216172782147352640, 'n': 17, 'trace_an': 6}
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id: 172589059
{'hecke_orbit_code': 216172782147352640, 'n': 18, 'trace_an': 0}
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id: 172589060
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id: 172589061
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id: 172589062
{'hecke_orbit_code': 216172782147352640, 'n': 21, 'trace_an': 0}
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id: 172589063
{'hecke_orbit_code': 216172782147352640, 'n': 22, 'trace_an': 0}
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id: 172589064
{'hecke_orbit_code': 216172782147352640, 'n': 23, 'trace_an': -8}
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id: 172589065
{'hecke_orbit_code': 216172782147352640, 'n': 24, 'trace_an': 0}
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id: 172589066
{'hecke_orbit_code': 216172782147352640, 'n': 25, 'trace_an': 0}
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id: 172589067
{'hecke_orbit_code': 216172782147352640, 'n': 26, 'trace_an': 0}
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id: 172589068
{'hecke_orbit_code': 216172782147352640, 'n': 27, 'trace_an': 0}
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id: 172589069
{'hecke_orbit_code': 216172782147352640, 'n': 28, 'trace_an': 0}
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id: 172589070
{'hecke_orbit_code': 216172782147352640, 'n': 29, 'trace_an': 0}
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id: 172589071
{'hecke_orbit_code': 216172782147352640, 'n': 30, 'trace_an': 0}
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id: 172589072
{'hecke_orbit_code': 216172782147352640, 'n': 31, 'trace_an': 8}
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id: 172589073
{'hecke_orbit_code': 216172782147352640, 'n': 32, 'trace_an': 0}
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id: 172589074
{'hecke_orbit_code': 216172782147352640, 'n': 33, 'trace_an': 0}
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id: 172589075
{'hecke_orbit_code': 216172782147352640, 'n': 34, 'trace_an': 0}
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id: 172589076
{'hecke_orbit_code': 216172782147352640, 'n': 35, 'trace_an': 0}
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id: 172589077
{'hecke_orbit_code': 216172782147352640, 'n': 36, 'trace_an': 0}
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id: 172589078
{'hecke_orbit_code': 216172782147352640, 'n': 37, 'trace_an': -2}
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id: 172589079
{'hecke_orbit_code': 216172782147352640, 'n': 38, 'trace_an': 0}
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id: 172589080
{'hecke_orbit_code': 216172782147352640, 'n': 39, 'trace_an': 0}
-
id: 172589081
{'hecke_orbit_code': 216172782147352640, 'n': 40, 'trace_an': 0}
-
id: 172589082
{'hecke_orbit_code': 216172782147352640, 'n': 41, 'trace_an': 6}
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id: 172589083
{'hecke_orbit_code': 216172782147352640, 'n': 42, 'trace_an': 0}
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id: 172589084
{'hecke_orbit_code': 216172782147352640, 'n': 43, 'trace_an': 4}
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id: 172589085
{'hecke_orbit_code': 216172782147352640, 'n': 44, 'trace_an': 0}
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id: 172589086
{'hecke_orbit_code': 216172782147352640, 'n': 45, 'trace_an': 0}
-
id: 172589087
{'hecke_orbit_code': 216172782147352640, 'n': 46, 'trace_an': 0}
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id: 172589088
{'hecke_orbit_code': 216172782147352640, 'n': 47, 'trace_an': -4}
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id: 172589089
{'hecke_orbit_code': 216172782147352640, 'n': 48, 'trace_an': 0}
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id: 172589090
{'hecke_orbit_code': 216172782147352640, 'n': 49, 'trace_an': -3}
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id: 172589091
{'hecke_orbit_code': 216172782147352640, 'n': 50, 'trace_an': 0}
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id: 172589092
{'hecke_orbit_code': 216172782147352640, 'n': 51, 'trace_an': 0}
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id: 172589093
{'hecke_orbit_code': 216172782147352640, 'n': 52, 'trace_an': 0}
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id: 172589094
{'hecke_orbit_code': 216172782147352640, 'n': 53, 'trace_an': 6}
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id: 172589095
{'hecke_orbit_code': 216172782147352640, 'n': 54, 'trace_an': 0}
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id: 172589096
{'hecke_orbit_code': 216172782147352640, 'n': 55, 'trace_an': 0}
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id: 172589097
{'hecke_orbit_code': 216172782147352640, 'n': 56, 'trace_an': 0}
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id: 172589098
{'hecke_orbit_code': 216172782147352640, 'n': 57, 'trace_an': 0}
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id: 172589099
{'hecke_orbit_code': 216172782147352640, 'n': 58, 'trace_an': 0}
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id: 172589100
{'hecke_orbit_code': 216172782147352640, 'n': 59, 'trace_an': 6}
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id: 172589101
{'hecke_orbit_code': 216172782147352640, 'n': 60, 'trace_an': 0}
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id: 172589102
{'hecke_orbit_code': 216172782147352640, 'n': 61, 'trace_an': 6}
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id: 172589103
{'hecke_orbit_code': 216172782147352640, 'n': 62, 'trace_an': 0}
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id: 172589104
{'hecke_orbit_code': 216172782147352640, 'n': 63, 'trace_an': 0}
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id: 172589105
{'hecke_orbit_code': 216172782147352640, 'n': 64, 'trace_an': 0}
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id: 172589106
{'hecke_orbit_code': 216172782147352640, 'n': 65, 'trace_an': 0}
-
id: 172589107
{'hecke_orbit_code': 216172782147352640, 'n': 66, 'trace_an': 0}
-
id: 172589108
{'hecke_orbit_code': 216172782147352640, 'n': 67, 'trace_an': 0}
-
id: 172589109
{'hecke_orbit_code': 216172782147352640, 'n': 68, 'trace_an': 0}
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id: 172589110
{'hecke_orbit_code': 216172782147352640, 'n': 69, 'trace_an': 0}
-
id: 172589111
{'hecke_orbit_code': 216172782147352640, 'n': 70, 'trace_an': 0}
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id: 172589112
{'hecke_orbit_code': 216172782147352640, 'n': 71, 'trace_an': -4}
-
id: 172589113
{'hecke_orbit_code': 216172782147352640, 'n': 72, 'trace_an': 0}
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id: 172589114
{'hecke_orbit_code': 216172782147352640, 'n': 73, 'trace_an': 12}
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id: 172589115
{'hecke_orbit_code': 216172782147352640, 'n': 74, 'trace_an': 0}
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id: 172589116
{'hecke_orbit_code': 216172782147352640, 'n': 75, 'trace_an': 0}
-
id: 172589117
{'hecke_orbit_code': 216172782147352640, 'n': 76, 'trace_an': 0}
-
id: 172589118
{'hecke_orbit_code': 216172782147352640, 'n': 77, 'trace_an': -12}
-
id: 172589119
{'hecke_orbit_code': 216172782147352640, 'n': 78, 'trace_an': 0}
-
id: 172589120
{'hecke_orbit_code': 216172782147352640, 'n': 79, 'trace_an': 8}
-
id: 172589121
{'hecke_orbit_code': 216172782147352640, 'n': 80, 'trace_an': 0}
-
id: 172589122
{'hecke_orbit_code': 216172782147352640, 'n': 81, 'trace_an': 0}
-
id: 172589123
{'hecke_orbit_code': 216172782147352640, 'n': 82, 'trace_an': 0}
-
id: 172589124
{'hecke_orbit_code': 216172782147352640, 'n': 83, 'trace_an': -12}
-
id: 172589125
{'hecke_orbit_code': 216172782147352640, 'n': 84, 'trace_an': 0}
-
id: 172589126
{'hecke_orbit_code': 216172782147352640, 'n': 85, 'trace_an': 0}
-
id: 172589127
{'hecke_orbit_code': 216172782147352640, 'n': 86, 'trace_an': 0}
-
id: 172589128
{'hecke_orbit_code': 216172782147352640, 'n': 87, 'trace_an': 0}
-
id: 172589129
{'hecke_orbit_code': 216172782147352640, 'n': 88, 'trace_an': 0}
-
id: 172589130
{'hecke_orbit_code': 216172782147352640, 'n': 89, 'trace_an': -14}
-
id: 172589131
{'hecke_orbit_code': 216172782147352640, 'n': 90, 'trace_an': 0}
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id: 172589132
{'hecke_orbit_code': 216172782147352640, 'n': 91, 'trace_an': -4}
-
id: 172589133
{'hecke_orbit_code': 216172782147352640, 'n': 92, 'trace_an': 0}
-
id: 172589134
{'hecke_orbit_code': 216172782147352640, 'n': 93, 'trace_an': 0}
-
id: 172589135
{'hecke_orbit_code': 216172782147352640, 'n': 94, 'trace_an': 0}
-
id: 172589136
{'hecke_orbit_code': 216172782147352640, 'n': 95, 'trace_an': 0}
-
id: 172589137
{'hecke_orbit_code': 216172782147352640, 'n': 96, 'trace_an': 0}
-
id: 172589138
{'hecke_orbit_code': 216172782147352640, 'n': 97, 'trace_an': 8}
-
id: 172589139
{'hecke_orbit_code': 216172782147352640, 'n': 98, 'trace_an': 0}
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id: 172589140
{'hecke_orbit_code': 216172782147352640, 'n': 99, 'trace_an': 0}
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id: 172589141
{'hecke_orbit_code': 216172782147352640, 'n': 100, 'trace_an': 0}