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mf_newforms • Show schema
Hide schema
{'Nk2': 43776, 'analytic_conductor': 87.38827997208925, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [19, 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': [10944, 1, [9919, 2053, 1217, 9217], [27, 27, 27, 27]], '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': 27, 'hecke_orbit_code': 117093590345198272, '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': '10944.2.a.ba', 'level': 10944, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 19], 'level_radical': 114, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{5}+3q^{7}-5q^{11}+4q^{13}+3q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/10944/ba'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '10944.2.a', 'trace_display': [0, 0, -1, 3], 'traces': [1, 0, 0, 0, -1, 0, 3, 0, 0, 0, -5, 0, 4, 0, 0, 0, 3, 0, -1, 0, 0, 0, 8, 0, -4, 0, 0, 0, -2, 0, -4, 0, 0, 0, -3, 0, -10, 0, 0, 0, -10, 0, 1, 0, 0, 0, -1, 0, 2, 0, 0, 0, -4, 0, 5, 0, 0, 0, -6, 0, 13, 0, 0, 0, -4, 0, -12, 0, 0, 0, 2, 0, 9, 0, 0, 0, -15, 0, -8, 0, 0, 0, 12, 0, -3, 0, 0, 0, -12, 0, 12, 0, 0, 0, 1, 0, -8, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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label 10944.2.a.ba does not appear in mf_hecke_nf
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mf_newspaces • Show schema
Hide schema
{'ALdims': [16, 22, 28, 25, 20, 14, 26, 29], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [11, 12, 12, 12, 12, 12, 12, 12], 'ALdims_old': [213, 218, 212, 203, 220, 214, 202, 211], 'Nk2': 43776, 'analytic_conductor': 87.38827997208925, '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': [10944, 1, [9919, 2053, 1217, 9217], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1873, 'dim': 180, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_orbit_code': 33565376, '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, 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, 4, 4, 4, 4, 4, 4, 4, 4], 'label': '10944.2.a', 'level': 10944, '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, 19], 'level_radical': 114, 'mf_dim': 1968, 'mf_new_dim': 180, 'num_forms': 112, 'plus_dim': 81, 'prim_orbit_index': 1, 'relative_dim': 180, 'sturm_bound': 3840, 'trace_display': [0, 0, 0, 0], 'traces': [180, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 172, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 244, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 172, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 136, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 136, 0, 0, 0, 0, 0, 0, 0, 188, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 104, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 272, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 304, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 232, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 308, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 416, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 152, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 400, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 488, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 200, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, -232, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, -184, 0, 0, 0, 0, 0, 0, 0, 204, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 360, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 368, 0, 0, 0, 0, 0, 0, 0, -304, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 404, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 344, 0, 0, 0, -232, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 10944.2.a.ba does not appear in mf_twists_nf
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hecke_orbit_code 117093590345198272 does not appear in mf_hecke_charpolys
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label 10944.2.a.ba does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 162173442
{'hecke_orbit_code': 117093590345198272, 'n': 1, 'trace_an': 1}
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id: 162173443
{'hecke_orbit_code': 117093590345198272, 'n': 2, 'trace_an': 0}
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id: 162173444
{'hecke_orbit_code': 117093590345198272, 'n': 3, 'trace_an': 0}
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id: 162173445
{'hecke_orbit_code': 117093590345198272, 'n': 4, 'trace_an': 0}
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id: 162173446
{'hecke_orbit_code': 117093590345198272, 'n': 5, 'trace_an': -1}
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id: 162173447
{'hecke_orbit_code': 117093590345198272, 'n': 6, 'trace_an': 0}
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id: 162173448
{'hecke_orbit_code': 117093590345198272, 'n': 7, 'trace_an': 3}
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id: 162173449
{'hecke_orbit_code': 117093590345198272, 'n': 8, 'trace_an': 0}
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id: 162173450
{'hecke_orbit_code': 117093590345198272, 'n': 9, 'trace_an': 0}
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id: 162173451
{'hecke_orbit_code': 117093590345198272, 'n': 10, 'trace_an': 0}
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id: 162173452
{'hecke_orbit_code': 117093590345198272, 'n': 11, 'trace_an': -5}
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id: 162173453
{'hecke_orbit_code': 117093590345198272, 'n': 12, 'trace_an': 0}
-
id: 162173454
{'hecke_orbit_code': 117093590345198272, 'n': 13, 'trace_an': 4}
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id: 162173455
{'hecke_orbit_code': 117093590345198272, 'n': 14, 'trace_an': 0}
-
id: 162173456
{'hecke_orbit_code': 117093590345198272, 'n': 15, 'trace_an': 0}
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id: 162173457
{'hecke_orbit_code': 117093590345198272, 'n': 16, 'trace_an': 0}
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id: 162173458
{'hecke_orbit_code': 117093590345198272, 'n': 17, 'trace_an': 3}
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id: 162173459
{'hecke_orbit_code': 117093590345198272, 'n': 18, 'trace_an': 0}
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id: 162173460
{'hecke_orbit_code': 117093590345198272, 'n': 19, 'trace_an': -1}
-
id: 162173461
{'hecke_orbit_code': 117093590345198272, 'n': 20, 'trace_an': 0}
-
id: 162173462
{'hecke_orbit_code': 117093590345198272, 'n': 21, 'trace_an': 0}
-
id: 162173463
{'hecke_orbit_code': 117093590345198272, 'n': 22, 'trace_an': 0}
-
id: 162173464
{'hecke_orbit_code': 117093590345198272, 'n': 23, 'trace_an': 8}
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id: 162173465
{'hecke_orbit_code': 117093590345198272, 'n': 24, 'trace_an': 0}
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id: 162173466
{'hecke_orbit_code': 117093590345198272, 'n': 25, 'trace_an': -4}
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id: 162173467
{'hecke_orbit_code': 117093590345198272, 'n': 26, 'trace_an': 0}
-
id: 162173468
{'hecke_orbit_code': 117093590345198272, 'n': 27, 'trace_an': 0}
-
id: 162173469
{'hecke_orbit_code': 117093590345198272, 'n': 28, 'trace_an': 0}
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id: 162173470
{'hecke_orbit_code': 117093590345198272, 'n': 29, 'trace_an': -2}
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id: 162173471
{'hecke_orbit_code': 117093590345198272, 'n': 30, 'trace_an': 0}
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id: 162173472
{'hecke_orbit_code': 117093590345198272, 'n': 31, 'trace_an': -4}
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id: 162173473
{'hecke_orbit_code': 117093590345198272, 'n': 32, 'trace_an': 0}
-
id: 162173474
{'hecke_orbit_code': 117093590345198272, 'n': 33, 'trace_an': 0}
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id: 162173475
{'hecke_orbit_code': 117093590345198272, 'n': 34, 'trace_an': 0}
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id: 162173476
{'hecke_orbit_code': 117093590345198272, 'n': 35, 'trace_an': -3}
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id: 162173477
{'hecke_orbit_code': 117093590345198272, 'n': 36, 'trace_an': 0}
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id: 162173478
{'hecke_orbit_code': 117093590345198272, 'n': 37, 'trace_an': -10}
-
id: 162173479
{'hecke_orbit_code': 117093590345198272, 'n': 38, 'trace_an': 0}
-
id: 162173480
{'hecke_orbit_code': 117093590345198272, 'n': 39, 'trace_an': 0}
-
id: 162173481
{'hecke_orbit_code': 117093590345198272, 'n': 40, 'trace_an': 0}
-
id: 162173482
{'hecke_orbit_code': 117093590345198272, 'n': 41, 'trace_an': -10}
-
id: 162173483
{'hecke_orbit_code': 117093590345198272, 'n': 42, 'trace_an': 0}
-
id: 162173484
{'hecke_orbit_code': 117093590345198272, 'n': 43, 'trace_an': 1}
-
id: 162173485
{'hecke_orbit_code': 117093590345198272, 'n': 44, 'trace_an': 0}
-
id: 162173486
{'hecke_orbit_code': 117093590345198272, 'n': 45, 'trace_an': 0}
-
id: 162173487
{'hecke_orbit_code': 117093590345198272, 'n': 46, 'trace_an': 0}
-
id: 162173488
{'hecke_orbit_code': 117093590345198272, 'n': 47, 'trace_an': -1}
-
id: 162173489
{'hecke_orbit_code': 117093590345198272, 'n': 48, 'trace_an': 0}
-
id: 162173490
{'hecke_orbit_code': 117093590345198272, 'n': 49, 'trace_an': 2}
-
id: 162173491
{'hecke_orbit_code': 117093590345198272, 'n': 50, 'trace_an': 0}
-
id: 162173492
{'hecke_orbit_code': 117093590345198272, 'n': 51, 'trace_an': 0}
-
id: 162173493
{'hecke_orbit_code': 117093590345198272, 'n': 52, 'trace_an': 0}
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id: 162173494
{'hecke_orbit_code': 117093590345198272, 'n': 53, 'trace_an': -4}
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id: 162173495
{'hecke_orbit_code': 117093590345198272, 'n': 54, 'trace_an': 0}
-
id: 162173496
{'hecke_orbit_code': 117093590345198272, 'n': 55, 'trace_an': 5}
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id: 162173497
{'hecke_orbit_code': 117093590345198272, 'n': 56, 'trace_an': 0}
-
id: 162173498
{'hecke_orbit_code': 117093590345198272, 'n': 57, 'trace_an': 0}
-
id: 162173499
{'hecke_orbit_code': 117093590345198272, 'n': 58, 'trace_an': 0}
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id: 162173500
{'hecke_orbit_code': 117093590345198272, 'n': 59, 'trace_an': -6}
-
id: 162173501
{'hecke_orbit_code': 117093590345198272, 'n': 60, 'trace_an': 0}
-
id: 162173502
{'hecke_orbit_code': 117093590345198272, 'n': 61, 'trace_an': 13}
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id: 162173503
{'hecke_orbit_code': 117093590345198272, 'n': 62, 'trace_an': 0}
-
id: 162173504
{'hecke_orbit_code': 117093590345198272, 'n': 63, 'trace_an': 0}
-
id: 162173505
{'hecke_orbit_code': 117093590345198272, 'n': 64, 'trace_an': 0}
-
id: 162173506
{'hecke_orbit_code': 117093590345198272, 'n': 65, 'trace_an': -4}
-
id: 162173507
{'hecke_orbit_code': 117093590345198272, 'n': 66, 'trace_an': 0}
-
id: 162173508
{'hecke_orbit_code': 117093590345198272, 'n': 67, 'trace_an': -12}
-
id: 162173509
{'hecke_orbit_code': 117093590345198272, 'n': 68, 'trace_an': 0}
-
id: 162173510
{'hecke_orbit_code': 117093590345198272, 'n': 69, 'trace_an': 0}
-
id: 162173511
{'hecke_orbit_code': 117093590345198272, 'n': 70, 'trace_an': 0}
-
id: 162173512
{'hecke_orbit_code': 117093590345198272, 'n': 71, 'trace_an': 2}
-
id: 162173513
{'hecke_orbit_code': 117093590345198272, 'n': 72, 'trace_an': 0}
-
id: 162173514
{'hecke_orbit_code': 117093590345198272, 'n': 73, 'trace_an': 9}
-
id: 162173515
{'hecke_orbit_code': 117093590345198272, 'n': 74, 'trace_an': 0}
-
id: 162173516
{'hecke_orbit_code': 117093590345198272, 'n': 75, 'trace_an': 0}
-
id: 162173517
{'hecke_orbit_code': 117093590345198272, 'n': 76, 'trace_an': 0}
-
id: 162173518
{'hecke_orbit_code': 117093590345198272, 'n': 77, 'trace_an': -15}
-
id: 162173519
{'hecke_orbit_code': 117093590345198272, 'n': 78, 'trace_an': 0}
-
id: 162173520
{'hecke_orbit_code': 117093590345198272, 'n': 79, 'trace_an': -8}
-
id: 162173521
{'hecke_orbit_code': 117093590345198272, 'n': 80, 'trace_an': 0}
-
id: 162173522
{'hecke_orbit_code': 117093590345198272, 'n': 81, 'trace_an': 0}
-
id: 162173523
{'hecke_orbit_code': 117093590345198272, 'n': 82, 'trace_an': 0}
-
id: 162173524
{'hecke_orbit_code': 117093590345198272, 'n': 83, 'trace_an': 12}
-
id: 162173525
{'hecke_orbit_code': 117093590345198272, 'n': 84, 'trace_an': 0}
-
id: 162173526
{'hecke_orbit_code': 117093590345198272, 'n': 85, 'trace_an': -3}
-
id: 162173527
{'hecke_orbit_code': 117093590345198272, 'n': 86, 'trace_an': 0}
-
id: 162173528
{'hecke_orbit_code': 117093590345198272, 'n': 87, 'trace_an': 0}
-
id: 162173529
{'hecke_orbit_code': 117093590345198272, 'n': 88, 'trace_an': 0}
-
id: 162173530
{'hecke_orbit_code': 117093590345198272, 'n': 89, 'trace_an': -12}
-
id: 162173531
{'hecke_orbit_code': 117093590345198272, 'n': 90, 'trace_an': 0}
-
id: 162173532
{'hecke_orbit_code': 117093590345198272, 'n': 91, 'trace_an': 12}
-
id: 162173533
{'hecke_orbit_code': 117093590345198272, 'n': 92, 'trace_an': 0}
-
id: 162173534
{'hecke_orbit_code': 117093590345198272, 'n': 93, 'trace_an': 0}
-
id: 162173535
{'hecke_orbit_code': 117093590345198272, 'n': 94, 'trace_an': 0}
-
id: 162173536
{'hecke_orbit_code': 117093590345198272, 'n': 95, 'trace_an': 1}
-
id: 162173537
{'hecke_orbit_code': 117093590345198272, 'n': 96, 'trace_an': 0}
-
id: 162173538
{'hecke_orbit_code': 117093590345198272, 'n': 97, 'trace_an': -8}
-
id: 162173539
{'hecke_orbit_code': 117093590345198272, 'n': 98, 'trace_an': 0}
-
id: 162173540
{'hecke_orbit_code': 117093590345198272, 'n': 99, 'trace_an': 0}
-
id: 162173541
{'hecke_orbit_code': 117093590345198272, 'n': 100, 'trace_an': 0}