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mf_newforms • Show schema
Hide schema
{'Nk2': 63360, 'analytic_conductor': 126.48303680170812, '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': [15840, 1, [991, 13861, 3521, 6337, 14401], [12, 12, 12, 12, 12]], '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': 12, 'hecke_orbit_code': 49539595934645728, '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': '15840.2.a.l', 'level': 15840, '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': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{5}-q^{11}+2q^{13}+6q^{17}-4q^{19}+\\cdots', 'related_objects': ['EllipticCurve/Q/15840/l'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '15840.2.a', 'trace_display': [0, 0, -1, 0], 'traces': [1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 2, 0, 0, 0, 6, 0, -4, 0, 0, 0, 4, 0, 1, 0, 0, 0, -10, 0, 4, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, -4, 0, 0, 0, 4, 0, -7, 0, 0, 0, 2, 0, 1, 0, 0, 0, 4, 0, -14, 0, 0, 0, -2, 0, -12, 0, 0, 0, 4, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -6, 0, 0, 0, -10, 0, 0, 0, 0, 0, 4, 0, 2, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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label 15840.2.a.l does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [11, 9, 11, 9, 16, 14, 13, 17, 9, 11, 9, 11, 14, 16, 17, 13], 'ALdims_eis_new': [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], 'ALdims_old': [190, 211, 213, 195, 202, 196, 193, 197, 207, 201, 199, 201, 200, 190, 193, 205], 'Nk2': 63360, 'analytic_conductor': 126.48303680170812, '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': [15840, 1, [991, 13861, 3521, 6337, 14401], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 3393, 'dim': 200, 'eis_dim': 127, 'eis_new_dim': 0, 'hecke_orbit_code': 33570272, '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, 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, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6], 'label': '15840.2.a', 'level': 15840, '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': 3520, 'mf_new_dim': 200, 'num_forms': 82, 'plus_dim': 94, 'prim_orbit_index': 1, 'relative_dim': 200, 'sturm_bound': 6912, 'trace_display': [0, 0, 0, 0], 'traces': [200, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 200, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 200, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 232, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 248, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 184, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -352, 0, 0, 0, -272, 0, 0, 0, 0, 0, 0, 0, 200, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, -176, 0, 0, 0, 416, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, -384, 0, 0, 0, 0, 0, 0, 0, 232, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -352, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -176, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 304, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 512, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 304, 0, 0, 0, 0, 0, 0, 0, 576, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 15840.2.a.l does not appear in mf_twists_nf
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hecke_orbit_code 49539595934645728 does not appear in mf_hecke_charpolys
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label 15840.2.a.l does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 146069242
{'hecke_orbit_code': 49539595934645728, 'n': 1, 'trace_an': 1}
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id: 146069243
{'hecke_orbit_code': 49539595934645728, 'n': 2, 'trace_an': 0}
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id: 146069244
{'hecke_orbit_code': 49539595934645728, 'n': 3, 'trace_an': 0}
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id: 146069245
{'hecke_orbit_code': 49539595934645728, 'n': 4, 'trace_an': 0}
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id: 146069246
{'hecke_orbit_code': 49539595934645728, 'n': 5, 'trace_an': -1}
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id: 146069247
{'hecke_orbit_code': 49539595934645728, 'n': 6, 'trace_an': 0}
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id: 146069248
{'hecke_orbit_code': 49539595934645728, 'n': 7, 'trace_an': 0}
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id: 146069249
{'hecke_orbit_code': 49539595934645728, 'n': 8, 'trace_an': 0}
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id: 146069250
{'hecke_orbit_code': 49539595934645728, 'n': 9, 'trace_an': 0}
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id: 146069251
{'hecke_orbit_code': 49539595934645728, 'n': 10, 'trace_an': 0}
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id: 146069252
{'hecke_orbit_code': 49539595934645728, 'n': 11, 'trace_an': -1}
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id: 146069253
{'hecke_orbit_code': 49539595934645728, 'n': 12, 'trace_an': 0}
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id: 146069254
{'hecke_orbit_code': 49539595934645728, 'n': 13, 'trace_an': 2}
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id: 146069255
{'hecke_orbit_code': 49539595934645728, 'n': 14, 'trace_an': 0}
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id: 146069256
{'hecke_orbit_code': 49539595934645728, 'n': 15, 'trace_an': 0}
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id: 146069257
{'hecke_orbit_code': 49539595934645728, 'n': 16, 'trace_an': 0}
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id: 146069258
{'hecke_orbit_code': 49539595934645728, 'n': 17, 'trace_an': 6}
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id: 146069259
{'hecke_orbit_code': 49539595934645728, 'n': 18, 'trace_an': 0}
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id: 146069260
{'hecke_orbit_code': 49539595934645728, 'n': 19, 'trace_an': -4}
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id: 146069261
{'hecke_orbit_code': 49539595934645728, 'n': 20, 'trace_an': 0}
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id: 146069262
{'hecke_orbit_code': 49539595934645728, 'n': 21, 'trace_an': 0}
-
id: 146069263
{'hecke_orbit_code': 49539595934645728, 'n': 22, 'trace_an': 0}
-
id: 146069264
{'hecke_orbit_code': 49539595934645728, 'n': 23, 'trace_an': 4}
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id: 146069265
{'hecke_orbit_code': 49539595934645728, 'n': 24, 'trace_an': 0}
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id: 146069266
{'hecke_orbit_code': 49539595934645728, 'n': 25, 'trace_an': 1}
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id: 146069267
{'hecke_orbit_code': 49539595934645728, 'n': 26, 'trace_an': 0}
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id: 146069268
{'hecke_orbit_code': 49539595934645728, 'n': 27, 'trace_an': 0}
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id: 146069269
{'hecke_orbit_code': 49539595934645728, 'n': 28, 'trace_an': 0}
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id: 146069270
{'hecke_orbit_code': 49539595934645728, 'n': 29, 'trace_an': -10}
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id: 146069271
{'hecke_orbit_code': 49539595934645728, 'n': 30, 'trace_an': 0}
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id: 146069272
{'hecke_orbit_code': 49539595934645728, 'n': 31, 'trace_an': 4}
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id: 146069273
{'hecke_orbit_code': 49539595934645728, 'n': 32, 'trace_an': 0}
-
id: 146069274
{'hecke_orbit_code': 49539595934645728, 'n': 33, 'trace_an': 0}
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id: 146069275
{'hecke_orbit_code': 49539595934645728, 'n': 34, 'trace_an': 0}
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id: 146069276
{'hecke_orbit_code': 49539595934645728, 'n': 35, 'trace_an': 0}
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id: 146069277
{'hecke_orbit_code': 49539595934645728, 'n': 36, 'trace_an': 0}
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id: 146069278
{'hecke_orbit_code': 49539595934645728, 'n': 37, 'trace_an': -2}
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id: 146069279
{'hecke_orbit_code': 49539595934645728, 'n': 38, 'trace_an': 0}
-
id: 146069280
{'hecke_orbit_code': 49539595934645728, 'n': 39, 'trace_an': 0}
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id: 146069281
{'hecke_orbit_code': 49539595934645728, 'n': 40, 'trace_an': 0}
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id: 146069282
{'hecke_orbit_code': 49539595934645728, 'n': 41, 'trace_an': -2}
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id: 146069283
{'hecke_orbit_code': 49539595934645728, 'n': 42, 'trace_an': 0}
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id: 146069284
{'hecke_orbit_code': 49539595934645728, 'n': 43, 'trace_an': -4}
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id: 146069285
{'hecke_orbit_code': 49539595934645728, 'n': 44, 'trace_an': 0}
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id: 146069286
{'hecke_orbit_code': 49539595934645728, 'n': 45, 'trace_an': 0}
-
id: 146069287
{'hecke_orbit_code': 49539595934645728, 'n': 46, 'trace_an': 0}
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id: 146069288
{'hecke_orbit_code': 49539595934645728, 'n': 47, 'trace_an': 4}
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id: 146069289
{'hecke_orbit_code': 49539595934645728, 'n': 48, 'trace_an': 0}
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id: 146069290
{'hecke_orbit_code': 49539595934645728, 'n': 49, 'trace_an': -7}
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id: 146069291
{'hecke_orbit_code': 49539595934645728, 'n': 50, 'trace_an': 0}
-
id: 146069292
{'hecke_orbit_code': 49539595934645728, 'n': 51, 'trace_an': 0}
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id: 146069293
{'hecke_orbit_code': 49539595934645728, 'n': 52, 'trace_an': 0}
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id: 146069294
{'hecke_orbit_code': 49539595934645728, 'n': 53, 'trace_an': 2}
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id: 146069295
{'hecke_orbit_code': 49539595934645728, 'n': 54, 'trace_an': 0}
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id: 146069296
{'hecke_orbit_code': 49539595934645728, 'n': 55, 'trace_an': 1}
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id: 146069297
{'hecke_orbit_code': 49539595934645728, 'n': 56, 'trace_an': 0}
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id: 146069298
{'hecke_orbit_code': 49539595934645728, 'n': 57, 'trace_an': 0}
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id: 146069299
{'hecke_orbit_code': 49539595934645728, 'n': 58, 'trace_an': 0}
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id: 146069300
{'hecke_orbit_code': 49539595934645728, 'n': 59, 'trace_an': 4}
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id: 146069301
{'hecke_orbit_code': 49539595934645728, 'n': 60, 'trace_an': 0}
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id: 146069302
{'hecke_orbit_code': 49539595934645728, 'n': 61, 'trace_an': -14}
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id: 146069303
{'hecke_orbit_code': 49539595934645728, 'n': 62, 'trace_an': 0}
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id: 146069304
{'hecke_orbit_code': 49539595934645728, 'n': 63, 'trace_an': 0}
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id: 146069305
{'hecke_orbit_code': 49539595934645728, 'n': 64, 'trace_an': 0}
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id: 146069306
{'hecke_orbit_code': 49539595934645728, 'n': 65, 'trace_an': -2}
-
id: 146069307
{'hecke_orbit_code': 49539595934645728, 'n': 66, 'trace_an': 0}
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id: 146069308
{'hecke_orbit_code': 49539595934645728, 'n': 67, 'trace_an': -12}
-
id: 146069309
{'hecke_orbit_code': 49539595934645728, 'n': 68, 'trace_an': 0}
-
id: 146069310
{'hecke_orbit_code': 49539595934645728, 'n': 69, 'trace_an': 0}
-
id: 146069311
{'hecke_orbit_code': 49539595934645728, 'n': 70, 'trace_an': 0}
-
id: 146069312
{'hecke_orbit_code': 49539595934645728, 'n': 71, 'trace_an': 4}
-
id: 146069313
{'hecke_orbit_code': 49539595934645728, 'n': 72, 'trace_an': 0}
-
id: 146069314
{'hecke_orbit_code': 49539595934645728, 'n': 73, 'trace_an': 10}
-
id: 146069315
{'hecke_orbit_code': 49539595934645728, 'n': 74, 'trace_an': 0}
-
id: 146069316
{'hecke_orbit_code': 49539595934645728, 'n': 75, 'trace_an': 0}
-
id: 146069317
{'hecke_orbit_code': 49539595934645728, 'n': 76, 'trace_an': 0}
-
id: 146069318
{'hecke_orbit_code': 49539595934645728, 'n': 77, 'trace_an': 0}
-
id: 146069319
{'hecke_orbit_code': 49539595934645728, 'n': 78, 'trace_an': 0}
-
id: 146069320
{'hecke_orbit_code': 49539595934645728, 'n': 79, 'trace_an': 0}
-
id: 146069321
{'hecke_orbit_code': 49539595934645728, 'n': 80, 'trace_an': 0}
-
id: 146069322
{'hecke_orbit_code': 49539595934645728, 'n': 81, 'trace_an': 0}
-
id: 146069323
{'hecke_orbit_code': 49539595934645728, 'n': 82, 'trace_an': 0}
-
id: 146069324
{'hecke_orbit_code': 49539595934645728, 'n': 83, 'trace_an': 4}
-
id: 146069325
{'hecke_orbit_code': 49539595934645728, 'n': 84, 'trace_an': 0}
-
id: 146069326
{'hecke_orbit_code': 49539595934645728, 'n': 85, 'trace_an': -6}
-
id: 146069327
{'hecke_orbit_code': 49539595934645728, 'n': 86, 'trace_an': 0}
-
id: 146069328
{'hecke_orbit_code': 49539595934645728, 'n': 87, 'trace_an': 0}
-
id: 146069329
{'hecke_orbit_code': 49539595934645728, 'n': 88, 'trace_an': 0}
-
id: 146069330
{'hecke_orbit_code': 49539595934645728, 'n': 89, 'trace_an': -10}
-
id: 146069331
{'hecke_orbit_code': 49539595934645728, 'n': 90, 'trace_an': 0}
-
id: 146069332
{'hecke_orbit_code': 49539595934645728, 'n': 91, 'trace_an': 0}
-
id: 146069333
{'hecke_orbit_code': 49539595934645728, 'n': 92, 'trace_an': 0}
-
id: 146069334
{'hecke_orbit_code': 49539595934645728, 'n': 93, 'trace_an': 0}
-
id: 146069335
{'hecke_orbit_code': 49539595934645728, 'n': 94, 'trace_an': 0}
-
id: 146069336
{'hecke_orbit_code': 49539595934645728, 'n': 95, 'trace_an': 4}
-
id: 146069337
{'hecke_orbit_code': 49539595934645728, 'n': 96, 'trace_an': 0}
-
id: 146069338
{'hecke_orbit_code': 49539595934645728, 'n': 97, 'trace_an': 2}
-
id: 146069339
{'hecke_orbit_code': 49539595934645728, 'n': 98, 'trace_an': 0}
-
id: 146069340
{'hecke_orbit_code': 49539595934645728, 'n': 99, 'trace_an': 0}
-
id: 146069341
{'hecke_orbit_code': 49539595934645728, 'n': 100, 'trace_an': 0}