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mf_newforms • Show schema
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{'Nk2': 88752, 'analytic_conductor': 177.17207200481693, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [43, -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': [22188, 1, [11095, 7397, 18493], [3, 3, 3]], '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': 3, 'hecke_orbit_code': 9007199288317612, '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': '22188.2.a.c', 'level': 22188, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 43], 'level_radical': 258, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}-3q^{5}+q^{7}+q^{9}-q^{11}+7q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/22188/c'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '22188.2.a', 'trace_display': [0, 1, -3, 1], 'traces': [1, 0, 1, 0, -3, 0, 1, 0, 1, 0, -1, 0, 7, 0, -3, 0, -2, 0, 5, 0, 1, 0, 8, 0, 4, 0, 1, 0, -3, 0, 8, 0, -1, 0, -3, 0, 4, 0, 7, 0, 4, 0, 0, 0, -3, 0, 7, 0, -6, 0, -2, 0, 4, 0, 3, 0, 5, 0, 12, 0, 0, 0, 1, 0, -21, 0, -10, 0, 8, 0, 6, 0, 14, 0, 4, 0, -1, 0, -4, 0, 1, 0, -9, 0, 6, 0, -3, 0, -2, 0, 7, 0, 8, 0, -15, 0, -7, 0, -1, 0], 'weight': 2, 'weight_parity': 1}
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label 22188.2.a.c does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [0, 0, 0, 0, 73, 77, 66, 84], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [43, 44, 44, 44, 22, 22, 22, 22], 'ALdims_old': [441, 461, 462, 441, 389, 385, 396, 378], 'Nk2': 88752, 'analytic_conductor': 177.17207200481693, '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': [22188, 1, [11095, 7397, 18493], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 3653, 'dim': 300, 'eis_dim': 263, 'eis_new_dim': 0, 'hecke_orbit_code': 33576620, 'hecke_orbit_dims': [1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 12, 12, 18, 18, 20, 20, 20, 20, 24, 24, 30, 30], 'label': '22188.2.a', 'level': 22188, '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, 43], 'level_radical': 258, 'mf_dim': 3916, 'mf_new_dim': 300, 'num_forms': 30, 'plus_dim': 143, 'prim_orbit_index': 1, 'relative_dim': 300, 'sturm_bound': 7568, 'trace_display': [0, 0, -4, -4], 'traces': [300, 0, 0, 0, -4, 0, -4, 0, 300, 0, -8, 0, -8, 0, -4, 0, -8, 0, -4, 0, -4, 0, 4, 0, 280, 0, 0, 0, -16, 0, -4, 0, -4, 0, 4, 0, 4, 0, 0, 0, -8, 0, 0, 0, -4, 0, 24, 0, 288, 0, 8, 0, -20, 0, 20, 0, -4, 0, -4, 0, -12, 0, -4, 0, -4, 0, 8, 0, 12, 0, 20, 0, 4, 0, -8, 0, 44, 0, 12, 0, 300, 0, 8, 0, -4, 0, 4, 0, 20, 0, 28, 0, -16, 0, 44, 0, 32, 0, -8, 0, 12, 0, 0, 0, 24, 0, 64, 0, 8, 0, 0, 0, -16, 0, 36, 0, -8, 0, 68, 0, 292, 0, 24, 0, -24, 0, 32, 0, 0, 0, -8, 0, 8, 0, -4, 0, 12, 0, -36, 0, 20, 0, 16, 0, -8, 0, -32, 0, -24, 0, -4, 0, -8, 0, 4, 0, 32, 0, 0, 0, 12, 0, 8, 0, 0, 0, 56, 0, 300, 0, -4, 0, -36, 0, 44, 0, 36, 0, -36, 0, -24, 0, 16, 0, -48, 0, -40, 0, -4, 0, 16, 0, 32, 0, 12, 0, -44, 0, 28, 0, -8, 0, -28, 0, 28, 0, 4, 0, -60, 0, -28, 0, 24, 0, 0, 0, -4, 0, -16, 0, -12, 0, 4, 0, 280, 0, 32, 0, -52, 0, -4, 0, -44, 0, -88, 0, 24, 0, 16, 0, 20, 0, 0, 0, -60, 0, 36, 0, 12, 0, -44, 0, 32, 0, -16, 0, 12, 0, -56, 0, -16, 0, -60, 0, -44, 0, 8, 0, 32, 0, -24, 0, -8, 0, -140, 0, 8, 0, -4, 0, 16, 0, -80, 0, 48, 0, 4, 0, 244, 0, -24, 0, -36, 0, 40, 0, -4, 0, -128, 0, 0, 0, 8, 0, 40, 0, 0, 0, -32, 0, -4, 0, 12, 0, 4, 0, 24, 0, -104, 0, -4, 0, -92, 0, 16, 0, -24, 0, -8, 0, -8, 0, 4, 0, 100, 0, 60, 0, 12, 0, -36, 0, -8, 0, 32, 0, -20, 0, 108, 0, 0, 0, 24, 0, -44, 0, 36, 0, -48, 0, 260, 0, -24, 0, 104, 0, 48, 0, -8, 0, 12, 0, -12, 0, -48, 0, 72, 0, 16, 0, 40, 0, -32, 0, 116, 0, 0, 0, -116, 0, 32, 0, 8, 0, 80, 0, -28, 0, 24, 0, -20, 0, -68, 0, -4, 0, 96, 0, 56, 0, -48, 0, 104, 0, 108, 0, 24, 0, -12, 0, 72, 0, 24, 0, -16, 0, -12, 0, 24, 0, -24, 0, 56, 0, 48, 0, 76, 0, 24, 0, 288, 0, -104, 0, 28, 0, 40, 0, -8, 0, -4, 0, 44, 0, 36, 0, 44, 0, 8, 0, 60, 0, -84, 0, 52, 0, -36, 0, -36, 0, 32, 0, 0, 0, 20, 0, -20, 0, -24, 0, 24, 0, -72, 0, 68, 0, 32, 0, -52, 0, 24, 0, -8, 0, 20, 0, 176, 0, -132, 0, 28, 0, 20, 0, 60, 0, 32, 0, 28, 0, 164, 0, -4, 0, -124, 0, 116, 0, -8, 0, -32, 0, -76, 0, 4, 0, 112, 0, 252, 0, -4, 0, -44, 0, 64, 0, -36, 0, -92, 0, -8, 0, 16, 0, 20, 0, 20, 0, -12, 0, -60, 0, 0, 0, 16, 0, -48, 0, 0, 0, 40, 0, 56, 0, 20, 0, -4, 0, 60, 0, -16, 0, 0, 0, 68, 0, 56, 0, -80, 0, -156, 0, -52, 0, -4, 0, 36, 0, -4, 0, 0, 0, 12, 0, -28, 0, 20, 0, 8, 0, 20, 0, 8, 0, 104, 0, -40, 0, -48, 0, -4, 0, 16, 0, 96, 0, 52, 0, 44, 0, 12, 0, 88, 0, 348, 0, -48, 0, -88, 0, 12, 0, -84, 0, 92, 0, 96, 0, 20, 0, -76, 0, -12, 0, 0, 0, -56, 0, -120, 0, 0, 0, 4, 0, -88, 0, 4, 0, -40, 0, -100, 0, -72, 0, 112, 0, 48, 0, -76, 0, 48, 0, -28, 0, -8, 0, 36, 0, -108, 0, 0, 0, -60, 0, -88, 0, 0, 0, -12, 0, -36, 0, 44, 0, 20, 0, -140, 0, -36, 0, -92, 0, -24, 0, 72, 0, 36, 0, -80, 0, 12, 0, -32, 0, 44, 0, -12, 0, 100, 0, -68, 0, 32, 0, -184, 0, 72, 0, 300, 0, 0, 0, 84, 0, -132, 0, 28, 0, -76, 0, -72, 0, -8, 0, 24, 0, 8, 0, 16, 0, -80, 0, 52, 0, 168, 0, 28, 0, 88, 0, -112, 0, -108, 0, -4, 0, -68, 0, -80, 0, 20, 0, -52, 0, -80, 0, -32, 0, -172, 0, -76, 0, 4, 0, 20, 0, 104, 0, -48, 0, -144, 0, -56, 0, -96, 0, 48, 0, 20, 0, 20, 0, -80, 0, -188, 0, -120, 0, -148, 0, 120, 0, 40, 0, -232, 0, 0, 0, 28, 0, 28, 0, -76, 0, -60, 0, 108, 0, -4, 0, 32, 0, 96, 0, 28, 0, -16, 0, -60, 0, 172, 0, -72, 0, -136, 0, 104, 0, -40, 0, -16, 0, 0, 0, 44, 0, 64, 0, 8, 0, 44, 0, -20, 0, 104, 0, -16, 0, 0, 0, 32, 0, 32, 0, 136, 0, 68, 0, -40, 0, 80, 0, -84, 0, 16, 0, -36, 0, -108, 0, -8, 0, 80, 0, -4, 0, 72, 0, 16, 0, 68, 0, 0, 0, -176, 0, -64, 0, 12, 0, 136, 0, 24, 0, -56, 0, -52, 0, -24, 0, -40, 0, 108, 0, 156, 0, 0, 0, 100, 0, 100, 0, 4, 0, -68, 0, -80, 0, 0, 0, -44, 0, -8, 0, 24, 0, -8, 0, -56, 0, 72, 0, 216, 0, 36, 0, -8, 0, -12, 0, 256, 0, 64, 0, -156, 0, 44, 0, 40, 0, 192, 0, 76, 0, 88, 0, 132, 0, -20, 0, 8, 0, -140, 0, 32, 0, 92, 0, 0, 0, 48, 0, -28, 0, 148, 0, -48, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 22188.2.a.c does not appear in mf_twists_nf
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hecke_orbit_code 9007199288317612 does not appear in mf_hecke_charpolys
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label 22188.2.a.c does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 123794442
{'hecke_orbit_code': 9007199288317612, 'n': 1, 'trace_an': 1}
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id: 123794443
{'hecke_orbit_code': 9007199288317612, 'n': 2, 'trace_an': 0}
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id: 123794444
{'hecke_orbit_code': 9007199288317612, 'n': 3, 'trace_an': 1}
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id: 123794445
{'hecke_orbit_code': 9007199288317612, 'n': 4, 'trace_an': 0}
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id: 123794446
{'hecke_orbit_code': 9007199288317612, 'n': 5, 'trace_an': -3}
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id: 123794447
{'hecke_orbit_code': 9007199288317612, 'n': 6, 'trace_an': 0}
-
id: 123794448
{'hecke_orbit_code': 9007199288317612, 'n': 7, 'trace_an': 1}
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id: 123794449
{'hecke_orbit_code': 9007199288317612, 'n': 8, 'trace_an': 0}
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id: 123794450
{'hecke_orbit_code': 9007199288317612, 'n': 9, 'trace_an': 1}
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id: 123794451
{'hecke_orbit_code': 9007199288317612, 'n': 10, 'trace_an': 0}
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id: 123794452
{'hecke_orbit_code': 9007199288317612, 'n': 11, 'trace_an': -1}
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id: 123794453
{'hecke_orbit_code': 9007199288317612, 'n': 12, 'trace_an': 0}
-
id: 123794454
{'hecke_orbit_code': 9007199288317612, 'n': 13, 'trace_an': 7}
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id: 123794455
{'hecke_orbit_code': 9007199288317612, 'n': 14, 'trace_an': 0}
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id: 123794456
{'hecke_orbit_code': 9007199288317612, 'n': 15, 'trace_an': -3}
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id: 123794457
{'hecke_orbit_code': 9007199288317612, 'n': 16, 'trace_an': 0}
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id: 123794458
{'hecke_orbit_code': 9007199288317612, 'n': 17, 'trace_an': -2}
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id: 123794459
{'hecke_orbit_code': 9007199288317612, 'n': 18, 'trace_an': 0}
-
id: 123794460
{'hecke_orbit_code': 9007199288317612, 'n': 19, 'trace_an': 5}
-
id: 123794461
{'hecke_orbit_code': 9007199288317612, 'n': 20, 'trace_an': 0}
-
id: 123794462
{'hecke_orbit_code': 9007199288317612, 'n': 21, 'trace_an': 1}
-
id: 123794463
{'hecke_orbit_code': 9007199288317612, 'n': 22, 'trace_an': 0}
-
id: 123794464
{'hecke_orbit_code': 9007199288317612, 'n': 23, 'trace_an': 8}
-
id: 123794465
{'hecke_orbit_code': 9007199288317612, 'n': 24, 'trace_an': 0}
-
id: 123794466
{'hecke_orbit_code': 9007199288317612, 'n': 25, 'trace_an': 4}
-
id: 123794467
{'hecke_orbit_code': 9007199288317612, 'n': 26, 'trace_an': 0}
-
id: 123794468
{'hecke_orbit_code': 9007199288317612, 'n': 27, 'trace_an': 1}
-
id: 123794469
{'hecke_orbit_code': 9007199288317612, 'n': 28, 'trace_an': 0}
-
id: 123794470
{'hecke_orbit_code': 9007199288317612, 'n': 29, 'trace_an': -3}
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id: 123794471
{'hecke_orbit_code': 9007199288317612, 'n': 30, 'trace_an': 0}
-
id: 123794472
{'hecke_orbit_code': 9007199288317612, 'n': 31, 'trace_an': 8}
-
id: 123794473
{'hecke_orbit_code': 9007199288317612, 'n': 32, 'trace_an': 0}
-
id: 123794474
{'hecke_orbit_code': 9007199288317612, 'n': 33, 'trace_an': -1}
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id: 123794475
{'hecke_orbit_code': 9007199288317612, 'n': 34, 'trace_an': 0}
-
id: 123794476
{'hecke_orbit_code': 9007199288317612, 'n': 35, 'trace_an': -3}
-
id: 123794477
{'hecke_orbit_code': 9007199288317612, 'n': 36, 'trace_an': 0}
-
id: 123794478
{'hecke_orbit_code': 9007199288317612, 'n': 37, 'trace_an': 4}
-
id: 123794479
{'hecke_orbit_code': 9007199288317612, 'n': 38, 'trace_an': 0}
-
id: 123794480
{'hecke_orbit_code': 9007199288317612, 'n': 39, 'trace_an': 7}
-
id: 123794481
{'hecke_orbit_code': 9007199288317612, 'n': 40, 'trace_an': 0}
-
id: 123794482
{'hecke_orbit_code': 9007199288317612, 'n': 41, 'trace_an': 4}
-
id: 123794483
{'hecke_orbit_code': 9007199288317612, 'n': 42, 'trace_an': 0}
-
id: 123794484
{'hecke_orbit_code': 9007199288317612, 'n': 43, 'trace_an': 0}
-
id: 123794485
{'hecke_orbit_code': 9007199288317612, 'n': 44, 'trace_an': 0}
-
id: 123794486
{'hecke_orbit_code': 9007199288317612, 'n': 45, 'trace_an': -3}
-
id: 123794487
{'hecke_orbit_code': 9007199288317612, 'n': 46, 'trace_an': 0}
-
id: 123794488
{'hecke_orbit_code': 9007199288317612, 'n': 47, 'trace_an': 7}
-
id: 123794489
{'hecke_orbit_code': 9007199288317612, 'n': 48, 'trace_an': 0}
-
id: 123794490
{'hecke_orbit_code': 9007199288317612, 'n': 49, 'trace_an': -6}
-
id: 123794491
{'hecke_orbit_code': 9007199288317612, 'n': 50, 'trace_an': 0}
-
id: 123794492
{'hecke_orbit_code': 9007199288317612, 'n': 51, 'trace_an': -2}
-
id: 123794493
{'hecke_orbit_code': 9007199288317612, 'n': 52, 'trace_an': 0}
-
id: 123794494
{'hecke_orbit_code': 9007199288317612, 'n': 53, 'trace_an': 4}
-
id: 123794495
{'hecke_orbit_code': 9007199288317612, 'n': 54, 'trace_an': 0}
-
id: 123794496
{'hecke_orbit_code': 9007199288317612, 'n': 55, 'trace_an': 3}
-
id: 123794497
{'hecke_orbit_code': 9007199288317612, 'n': 56, 'trace_an': 0}
-
id: 123794498
{'hecke_orbit_code': 9007199288317612, 'n': 57, 'trace_an': 5}
-
id: 123794499
{'hecke_orbit_code': 9007199288317612, 'n': 58, 'trace_an': 0}
-
id: 123794500
{'hecke_orbit_code': 9007199288317612, 'n': 59, 'trace_an': 12}
-
id: 123794501
{'hecke_orbit_code': 9007199288317612, 'n': 60, 'trace_an': 0}
-
id: 123794502
{'hecke_orbit_code': 9007199288317612, 'n': 61, 'trace_an': 0}
-
id: 123794503
{'hecke_orbit_code': 9007199288317612, 'n': 62, 'trace_an': 0}
-
id: 123794504
{'hecke_orbit_code': 9007199288317612, 'n': 63, 'trace_an': 1}
-
id: 123794505
{'hecke_orbit_code': 9007199288317612, 'n': 64, 'trace_an': 0}
-
id: 123794506
{'hecke_orbit_code': 9007199288317612, 'n': 65, 'trace_an': -21}
-
id: 123794507
{'hecke_orbit_code': 9007199288317612, 'n': 66, 'trace_an': 0}
-
id: 123794508
{'hecke_orbit_code': 9007199288317612, 'n': 67, 'trace_an': -10}
-
id: 123794509
{'hecke_orbit_code': 9007199288317612, 'n': 68, 'trace_an': 0}
-
id: 123794510
{'hecke_orbit_code': 9007199288317612, 'n': 69, 'trace_an': 8}
-
id: 123794511
{'hecke_orbit_code': 9007199288317612, 'n': 70, 'trace_an': 0}
-
id: 123794512
{'hecke_orbit_code': 9007199288317612, 'n': 71, 'trace_an': 6}
-
id: 123794513
{'hecke_orbit_code': 9007199288317612, 'n': 72, 'trace_an': 0}
-
id: 123794514
{'hecke_orbit_code': 9007199288317612, 'n': 73, 'trace_an': 14}
-
id: 123794515
{'hecke_orbit_code': 9007199288317612, 'n': 74, 'trace_an': 0}
-
id: 123794516
{'hecke_orbit_code': 9007199288317612, 'n': 75, 'trace_an': 4}
-
id: 123794517
{'hecke_orbit_code': 9007199288317612, 'n': 76, 'trace_an': 0}
-
id: 123794518
{'hecke_orbit_code': 9007199288317612, 'n': 77, 'trace_an': -1}
-
id: 123794519
{'hecke_orbit_code': 9007199288317612, 'n': 78, 'trace_an': 0}
-
id: 123794520
{'hecke_orbit_code': 9007199288317612, 'n': 79, 'trace_an': -4}
-
id: 123794521
{'hecke_orbit_code': 9007199288317612, 'n': 80, 'trace_an': 0}
-
id: 123794522
{'hecke_orbit_code': 9007199288317612, 'n': 81, 'trace_an': 1}
-
id: 123794523
{'hecke_orbit_code': 9007199288317612, 'n': 82, 'trace_an': 0}
-
id: 123794524
{'hecke_orbit_code': 9007199288317612, 'n': 83, 'trace_an': -9}
-
id: 123794525
{'hecke_orbit_code': 9007199288317612, 'n': 84, 'trace_an': 0}
-
id: 123794526
{'hecke_orbit_code': 9007199288317612, 'n': 85, 'trace_an': 6}
-
id: 123794527
{'hecke_orbit_code': 9007199288317612, 'n': 86, 'trace_an': 0}
-
id: 123794528
{'hecke_orbit_code': 9007199288317612, 'n': 87, 'trace_an': -3}
-
id: 123794529
{'hecke_orbit_code': 9007199288317612, 'n': 88, 'trace_an': 0}
-
id: 123794530
{'hecke_orbit_code': 9007199288317612, 'n': 89, 'trace_an': -2}
-
id: 123794531
{'hecke_orbit_code': 9007199288317612, 'n': 90, 'trace_an': 0}
-
id: 123794532
{'hecke_orbit_code': 9007199288317612, 'n': 91, 'trace_an': 7}
-
id: 123794533
{'hecke_orbit_code': 9007199288317612, 'n': 92, 'trace_an': 0}
-
id: 123794534
{'hecke_orbit_code': 9007199288317612, 'n': 93, 'trace_an': 8}
-
id: 123794535
{'hecke_orbit_code': 9007199288317612, 'n': 94, 'trace_an': 0}
-
id: 123794536
{'hecke_orbit_code': 9007199288317612, 'n': 95, 'trace_an': -15}
-
id: 123794537
{'hecke_orbit_code': 9007199288317612, 'n': 96, 'trace_an': 0}
-
id: 123794538
{'hecke_orbit_code': 9007199288317612, 'n': 97, 'trace_an': -7}
-
id: 123794539
{'hecke_orbit_code': 9007199288317612, 'n': 98, 'trace_an': 0}
-
id: 123794540
{'hecke_orbit_code': 9007199288317612, 'n': 99, 'trace_an': -1}
-
id: 123794541
{'hecke_orbit_code': 9007199288317612, 'n': 100, 'trace_an': 0}