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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], [103, 103, 103, 103]], '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': 103, 'hecke_orbit_code': 459367162025359424, '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.dy', '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}-q^{11}+4q^{13}+5q^{17}+q^{19}+\\cdots', 'related_objects': ['EllipticCurve/Q/14400/dy'], '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, -1, 0, 4, 0, 0, 0, 5, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, -8, 0, -10, 0, 0, 0, 0, 0, -6, 0, 0, 0, 3, 0, -4, 0, 0, 0, -4, 0, -3, 0, 0, 0, -6, 0, 0, 0, 0, 0, -8, 0, -10, 0, 0, 0, 0, 0, 1, 0, 0, 0, -12, 0, -3, 0, 0, 0, -2, 0, -6, 0, 0, 0, -13, 0, 0, 0, 0, 0, 9, 0, 8, 0, 0, 0, 0, 0, 14, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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label 14400.2.a.dy 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.dy does not appear in mf_twists_nf
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hecke_orbit_code 459367162025359424 does not appear in mf_hecke_charpolys
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label 14400.2.a.dy does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 181704342
{'hecke_orbit_code': 459367162025359424, 'n': 1, 'trace_an': 1}
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id: 181704343
{'hecke_orbit_code': 459367162025359424, 'n': 2, 'trace_an': 0}
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id: 181704344
{'hecke_orbit_code': 459367162025359424, 'n': 3, 'trace_an': 0}
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id: 181704345
{'hecke_orbit_code': 459367162025359424, 'n': 4, 'trace_an': 0}
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id: 181704346
{'hecke_orbit_code': 459367162025359424, 'n': 5, 'trace_an': 0}
-
id: 181704347
{'hecke_orbit_code': 459367162025359424, 'n': 6, 'trace_an': 0}
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id: 181704348
{'hecke_orbit_code': 459367162025359424, 'n': 7, 'trace_an': 2}
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id: 181704349
{'hecke_orbit_code': 459367162025359424, 'n': 8, 'trace_an': 0}
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id: 181704350
{'hecke_orbit_code': 459367162025359424, 'n': 9, 'trace_an': 0}
-
id: 181704351
{'hecke_orbit_code': 459367162025359424, 'n': 10, 'trace_an': 0}
-
id: 181704352
{'hecke_orbit_code': 459367162025359424, 'n': 11, 'trace_an': -1}
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id: 181704353
{'hecke_orbit_code': 459367162025359424, 'n': 12, 'trace_an': 0}
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id: 181704354
{'hecke_orbit_code': 459367162025359424, 'n': 13, 'trace_an': 4}
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id: 181704355
{'hecke_orbit_code': 459367162025359424, 'n': 14, 'trace_an': 0}
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id: 181704356
{'hecke_orbit_code': 459367162025359424, 'n': 15, 'trace_an': 0}
-
id: 181704357
{'hecke_orbit_code': 459367162025359424, 'n': 16, 'trace_an': 0}
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id: 181704358
{'hecke_orbit_code': 459367162025359424, 'n': 17, 'trace_an': 5}
-
id: 181704359
{'hecke_orbit_code': 459367162025359424, 'n': 18, 'trace_an': 0}
-
id: 181704360
{'hecke_orbit_code': 459367162025359424, 'n': 19, 'trace_an': 1}
-
id: 181704361
{'hecke_orbit_code': 459367162025359424, 'n': 20, 'trace_an': 0}
-
id: 181704362
{'hecke_orbit_code': 459367162025359424, 'n': 21, 'trace_an': 0}
-
id: 181704363
{'hecke_orbit_code': 459367162025359424, 'n': 22, 'trace_an': 0}
-
id: 181704364
{'hecke_orbit_code': 459367162025359424, 'n': 23, 'trace_an': 2}
-
id: 181704365
{'hecke_orbit_code': 459367162025359424, 'n': 24, 'trace_an': 0}
-
id: 181704366
{'hecke_orbit_code': 459367162025359424, 'n': 25, 'trace_an': 0}
-
id: 181704367
{'hecke_orbit_code': 459367162025359424, 'n': 26, 'trace_an': 0}
-
id: 181704368
{'hecke_orbit_code': 459367162025359424, 'n': 27, 'trace_an': 0}
-
id: 181704369
{'hecke_orbit_code': 459367162025359424, 'n': 28, 'trace_an': 0}
-
id: 181704370
{'hecke_orbit_code': 459367162025359424, 'n': 29, 'trace_an': -8}
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id: 181704371
{'hecke_orbit_code': 459367162025359424, 'n': 30, 'trace_an': 0}
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id: 181704372
{'hecke_orbit_code': 459367162025359424, 'n': 31, 'trace_an': -10}
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id: 181704373
{'hecke_orbit_code': 459367162025359424, 'n': 32, 'trace_an': 0}
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id: 181704374
{'hecke_orbit_code': 459367162025359424, 'n': 33, 'trace_an': 0}
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id: 181704375
{'hecke_orbit_code': 459367162025359424, 'n': 34, 'trace_an': 0}
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id: 181704376
{'hecke_orbit_code': 459367162025359424, 'n': 35, 'trace_an': 0}
-
id: 181704377
{'hecke_orbit_code': 459367162025359424, 'n': 36, 'trace_an': 0}
-
id: 181704378
{'hecke_orbit_code': 459367162025359424, 'n': 37, 'trace_an': -6}
-
id: 181704379
{'hecke_orbit_code': 459367162025359424, 'n': 38, 'trace_an': 0}
-
id: 181704380
{'hecke_orbit_code': 459367162025359424, 'n': 39, 'trace_an': 0}
-
id: 181704381
{'hecke_orbit_code': 459367162025359424, 'n': 40, 'trace_an': 0}
-
id: 181704382
{'hecke_orbit_code': 459367162025359424, 'n': 41, 'trace_an': 3}
-
id: 181704383
{'hecke_orbit_code': 459367162025359424, 'n': 42, 'trace_an': 0}
-
id: 181704384
{'hecke_orbit_code': 459367162025359424, 'n': 43, 'trace_an': -4}
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id: 181704385
{'hecke_orbit_code': 459367162025359424, 'n': 44, 'trace_an': 0}
-
id: 181704386
{'hecke_orbit_code': 459367162025359424, 'n': 45, 'trace_an': 0}
-
id: 181704387
{'hecke_orbit_code': 459367162025359424, 'n': 46, 'trace_an': 0}
-
id: 181704388
{'hecke_orbit_code': 459367162025359424, 'n': 47, 'trace_an': -4}
-
id: 181704389
{'hecke_orbit_code': 459367162025359424, 'n': 48, 'trace_an': 0}
-
id: 181704390
{'hecke_orbit_code': 459367162025359424, 'n': 49, 'trace_an': -3}
-
id: 181704391
{'hecke_orbit_code': 459367162025359424, 'n': 50, 'trace_an': 0}
-
id: 181704392
{'hecke_orbit_code': 459367162025359424, 'n': 51, 'trace_an': 0}
-
id: 181704393
{'hecke_orbit_code': 459367162025359424, 'n': 52, 'trace_an': 0}
-
id: 181704394
{'hecke_orbit_code': 459367162025359424, 'n': 53, 'trace_an': -6}
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id: 181704395
{'hecke_orbit_code': 459367162025359424, 'n': 54, 'trace_an': 0}
-
id: 181704396
{'hecke_orbit_code': 459367162025359424, 'n': 55, 'trace_an': 0}
-
id: 181704397
{'hecke_orbit_code': 459367162025359424, 'n': 56, 'trace_an': 0}
-
id: 181704398
{'hecke_orbit_code': 459367162025359424, 'n': 57, 'trace_an': 0}
-
id: 181704399
{'hecke_orbit_code': 459367162025359424, 'n': 58, 'trace_an': 0}
-
id: 181704400
{'hecke_orbit_code': 459367162025359424, 'n': 59, 'trace_an': -8}
-
id: 181704401
{'hecke_orbit_code': 459367162025359424, 'n': 60, 'trace_an': 0}
-
id: 181704402
{'hecke_orbit_code': 459367162025359424, 'n': 61, 'trace_an': -10}
-
id: 181704403
{'hecke_orbit_code': 459367162025359424, 'n': 62, 'trace_an': 0}
-
id: 181704404
{'hecke_orbit_code': 459367162025359424, 'n': 63, 'trace_an': 0}
-
id: 181704405
{'hecke_orbit_code': 459367162025359424, 'n': 64, 'trace_an': 0}
-
id: 181704406
{'hecke_orbit_code': 459367162025359424, 'n': 65, 'trace_an': 0}
-
id: 181704407
{'hecke_orbit_code': 459367162025359424, 'n': 66, 'trace_an': 0}
-
id: 181704408
{'hecke_orbit_code': 459367162025359424, 'n': 67, 'trace_an': 1}
-
id: 181704409
{'hecke_orbit_code': 459367162025359424, 'n': 68, 'trace_an': 0}
-
id: 181704410
{'hecke_orbit_code': 459367162025359424, 'n': 69, 'trace_an': 0}
-
id: 181704411
{'hecke_orbit_code': 459367162025359424, 'n': 70, 'trace_an': 0}
-
id: 181704412
{'hecke_orbit_code': 459367162025359424, 'n': 71, 'trace_an': -12}
-
id: 181704413
{'hecke_orbit_code': 459367162025359424, 'n': 72, 'trace_an': 0}
-
id: 181704414
{'hecke_orbit_code': 459367162025359424, 'n': 73, 'trace_an': -3}
-
id: 181704415
{'hecke_orbit_code': 459367162025359424, 'n': 74, 'trace_an': 0}
-
id: 181704416
{'hecke_orbit_code': 459367162025359424, 'n': 75, 'trace_an': 0}
-
id: 181704417
{'hecke_orbit_code': 459367162025359424, 'n': 76, 'trace_an': 0}
-
id: 181704418
{'hecke_orbit_code': 459367162025359424, 'n': 77, 'trace_an': -2}
-
id: 181704419
{'hecke_orbit_code': 459367162025359424, 'n': 78, 'trace_an': 0}
-
id: 181704420
{'hecke_orbit_code': 459367162025359424, 'n': 79, 'trace_an': -6}
-
id: 181704421
{'hecke_orbit_code': 459367162025359424, 'n': 80, 'trace_an': 0}
-
id: 181704422
{'hecke_orbit_code': 459367162025359424, 'n': 81, 'trace_an': 0}
-
id: 181704423
{'hecke_orbit_code': 459367162025359424, 'n': 82, 'trace_an': 0}
-
id: 181704424
{'hecke_orbit_code': 459367162025359424, 'n': 83, 'trace_an': -13}
-
id: 181704425
{'hecke_orbit_code': 459367162025359424, 'n': 84, 'trace_an': 0}
-
id: 181704426
{'hecke_orbit_code': 459367162025359424, 'n': 85, 'trace_an': 0}
-
id: 181704427
{'hecke_orbit_code': 459367162025359424, 'n': 86, 'trace_an': 0}
-
id: 181704428
{'hecke_orbit_code': 459367162025359424, 'n': 87, 'trace_an': 0}
-
id: 181704429
{'hecke_orbit_code': 459367162025359424, 'n': 88, 'trace_an': 0}
-
id: 181704430
{'hecke_orbit_code': 459367162025359424, 'n': 89, 'trace_an': 9}
-
id: 181704431
{'hecke_orbit_code': 459367162025359424, 'n': 90, 'trace_an': 0}
-
id: 181704432
{'hecke_orbit_code': 459367162025359424, 'n': 91, 'trace_an': 8}
-
id: 181704433
{'hecke_orbit_code': 459367162025359424, 'n': 92, 'trace_an': 0}
-
id: 181704434
{'hecke_orbit_code': 459367162025359424, 'n': 93, 'trace_an': 0}
-
id: 181704435
{'hecke_orbit_code': 459367162025359424, 'n': 94, 'trace_an': 0}
-
id: 181704436
{'hecke_orbit_code': 459367162025359424, 'n': 95, 'trace_an': 0}
-
id: 181704437
{'hecke_orbit_code': 459367162025359424, 'n': 96, 'trace_an': 0}
-
id: 181704438
{'hecke_orbit_code': 459367162025359424, 'n': 97, 'trace_an': 14}
-
id: 181704439
{'hecke_orbit_code': 459367162025359424, 'n': 98, 'trace_an': 0}
-
id: 181704440
{'hecke_orbit_code': 459367162025359424, 'n': 99, 'trace_an': 0}
-
id: 181704441
{'hecke_orbit_code': 459367162025359424, 'n': 100, 'trace_an': 0}