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mf_newforms • Show schema
Hide schema
{'Nk2': 41472, 'analytic_conductor': 82.7888968156635, 'atkin_lehner_eigenvals': [[2, -1], [3, 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': [10368, 1, [2431, 5509, 6401], [10, 10, 10]], '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': 10, 'hecke_orbit_code': 40532396679899264, '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': '10368.2.a.j', 'level': 10368, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{5}-4q^{7}-2q^{11}+q^{13}-7q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/10368/j'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '10368.2.a', 'trace_display': [0, 0, -1, -4], 'traces': [1, 0, 0, 0, -1, 0, -4, 0, 0, 0, -2, 0, 1, 0, 0, 0, -7, 0, -8, 0, 0, 0, 2, 0, -4, 0, 0, 0, -9, 0, -6, 0, 0, 0, 4, 0, -7, 0, 0, 0, -6, 0, 6, 0, 0, 0, 2, 0, 9, 0, 0, 0, -6, 0, 2, 0, 0, 0, -4, 0, 1, 0, 0, 0, -1, 0, 8, 0, 0, 0, 12, 0, -13, 0, 0, 0, 8, 0, 10, 0, 0, 0, 6, 0, 7, 0, 0, 0, 5, 0, -4, 0, 0, 0, 8, 0, -2, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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label 10368.2.a.j does not appear in mf_hecke_nf
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mf_newspaces • Show schema
Hide schema
{'ALdims': [46, 50, 50, 46], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [47, 48, 48, 48], 'ALdims_old': [355, 362, 366, 358], 'Nk2': 41472, 'analytic_conductor': 82.7888968156635, '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': [10368, 1, [2431, 5509, 6401], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1633, 'dim': 192, 'eis_dim': 191, 'eis_new_dim': 0, 'hecke_orbit_code': 33564800, '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, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], 'label': '10368.2.a', 'level': 10368, 'level_is_powerful': True, '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], 'level_radical': 6, 'mf_dim': 1824, 'mf_new_dim': 192, 'num_forms': 64, 'plus_dim': 92, 'prim_orbit_index': 1, 'relative_dim': 192, 'sturm_bound': 3456, 'trace_display': [0, 0, 0, 0], 'traces': [192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 480, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 480, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 480, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 10368.2.a.j does not appear in mf_twists_nf
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hecke_orbit_code 40532396679899264 does not appear in mf_hecke_charpolys
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label 10368.2.a.j does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 142212542
{'hecke_orbit_code': 40532396679899264, 'n': 1, 'trace_an': 1}
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id: 142212543
{'hecke_orbit_code': 40532396679899264, 'n': 2, 'trace_an': 0}
-
id: 142212544
{'hecke_orbit_code': 40532396679899264, 'n': 3, 'trace_an': 0}
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id: 142212545
{'hecke_orbit_code': 40532396679899264, 'n': 4, 'trace_an': 0}
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id: 142212546
{'hecke_orbit_code': 40532396679899264, 'n': 5, 'trace_an': -1}
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id: 142212547
{'hecke_orbit_code': 40532396679899264, 'n': 6, 'trace_an': 0}
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id: 142212548
{'hecke_orbit_code': 40532396679899264, 'n': 7, 'trace_an': -4}
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id: 142212549
{'hecke_orbit_code': 40532396679899264, 'n': 8, 'trace_an': 0}
-
id: 142212550
{'hecke_orbit_code': 40532396679899264, 'n': 9, 'trace_an': 0}
-
id: 142212551
{'hecke_orbit_code': 40532396679899264, 'n': 10, 'trace_an': 0}
-
id: 142212552
{'hecke_orbit_code': 40532396679899264, 'n': 11, 'trace_an': -2}
-
id: 142212553
{'hecke_orbit_code': 40532396679899264, 'n': 12, 'trace_an': 0}
-
id: 142212554
{'hecke_orbit_code': 40532396679899264, 'n': 13, 'trace_an': 1}
-
id: 142212555
{'hecke_orbit_code': 40532396679899264, 'n': 14, 'trace_an': 0}
-
id: 142212556
{'hecke_orbit_code': 40532396679899264, 'n': 15, 'trace_an': 0}
-
id: 142212557
{'hecke_orbit_code': 40532396679899264, 'n': 16, 'trace_an': 0}
-
id: 142212558
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-
id: 142212559
{'hecke_orbit_code': 40532396679899264, 'n': 18, 'trace_an': 0}
-
id: 142212560
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-
id: 142212561
{'hecke_orbit_code': 40532396679899264, 'n': 20, 'trace_an': 0}
-
id: 142212562
{'hecke_orbit_code': 40532396679899264, 'n': 21, 'trace_an': 0}
-
id: 142212563
{'hecke_orbit_code': 40532396679899264, 'n': 22, 'trace_an': 0}
-
id: 142212564
{'hecke_orbit_code': 40532396679899264, 'n': 23, 'trace_an': 2}
-
id: 142212565
{'hecke_orbit_code': 40532396679899264, 'n': 24, 'trace_an': 0}
-
id: 142212566
{'hecke_orbit_code': 40532396679899264, 'n': 25, 'trace_an': -4}
-
id: 142212567
{'hecke_orbit_code': 40532396679899264, 'n': 26, 'trace_an': 0}
-
id: 142212568
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-
id: 142212569
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-
id: 142212570
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-
id: 142212571
{'hecke_orbit_code': 40532396679899264, 'n': 30, 'trace_an': 0}
-
id: 142212572
{'hecke_orbit_code': 40532396679899264, 'n': 31, 'trace_an': -6}
-
id: 142212573
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-
id: 142212574
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-
id: 142212575
{'hecke_orbit_code': 40532396679899264, 'n': 34, 'trace_an': 0}
-
id: 142212576
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-
id: 142212577
{'hecke_orbit_code': 40532396679899264, 'n': 36, 'trace_an': 0}
-
id: 142212578
{'hecke_orbit_code': 40532396679899264, 'n': 37, 'trace_an': -7}
-
id: 142212579
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-
id: 142212580
{'hecke_orbit_code': 40532396679899264, 'n': 39, 'trace_an': 0}
-
id: 142212581
{'hecke_orbit_code': 40532396679899264, 'n': 40, 'trace_an': 0}
-
id: 142212582
{'hecke_orbit_code': 40532396679899264, 'n': 41, 'trace_an': -6}
-
id: 142212583
{'hecke_orbit_code': 40532396679899264, 'n': 42, 'trace_an': 0}
-
id: 142212584
{'hecke_orbit_code': 40532396679899264, 'n': 43, 'trace_an': 6}
-
id: 142212585
{'hecke_orbit_code': 40532396679899264, 'n': 44, 'trace_an': 0}
-
id: 142212586
{'hecke_orbit_code': 40532396679899264, 'n': 45, 'trace_an': 0}
-
id: 142212587
{'hecke_orbit_code': 40532396679899264, 'n': 46, 'trace_an': 0}
-
id: 142212588
{'hecke_orbit_code': 40532396679899264, 'n': 47, 'trace_an': 2}
-
id: 142212589
{'hecke_orbit_code': 40532396679899264, 'n': 48, 'trace_an': 0}
-
id: 142212590
{'hecke_orbit_code': 40532396679899264, 'n': 49, 'trace_an': 9}
-
id: 142212591
{'hecke_orbit_code': 40532396679899264, 'n': 50, 'trace_an': 0}
-
id: 142212592
{'hecke_orbit_code': 40532396679899264, 'n': 51, 'trace_an': 0}
-
id: 142212593
{'hecke_orbit_code': 40532396679899264, 'n': 52, 'trace_an': 0}
-
id: 142212594
{'hecke_orbit_code': 40532396679899264, 'n': 53, 'trace_an': -6}
-
id: 142212595
{'hecke_orbit_code': 40532396679899264, 'n': 54, 'trace_an': 0}
-
id: 142212596
{'hecke_orbit_code': 40532396679899264, 'n': 55, 'trace_an': 2}
-
id: 142212597
{'hecke_orbit_code': 40532396679899264, 'n': 56, 'trace_an': 0}
-
id: 142212598
{'hecke_orbit_code': 40532396679899264, 'n': 57, 'trace_an': 0}
-
id: 142212599
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-
id: 142212600
{'hecke_orbit_code': 40532396679899264, 'n': 59, 'trace_an': -4}
-
id: 142212601
{'hecke_orbit_code': 40532396679899264, 'n': 60, 'trace_an': 0}
-
id: 142212602
{'hecke_orbit_code': 40532396679899264, 'n': 61, 'trace_an': 1}
-
id: 142212603
{'hecke_orbit_code': 40532396679899264, 'n': 62, 'trace_an': 0}
-
id: 142212604
{'hecke_orbit_code': 40532396679899264, 'n': 63, 'trace_an': 0}
-
id: 142212605
{'hecke_orbit_code': 40532396679899264, 'n': 64, 'trace_an': 0}
-
id: 142212606
{'hecke_orbit_code': 40532396679899264, 'n': 65, 'trace_an': -1}
-
id: 142212607
{'hecke_orbit_code': 40532396679899264, 'n': 66, 'trace_an': 0}
-
id: 142212608
{'hecke_orbit_code': 40532396679899264, 'n': 67, 'trace_an': 8}
-
id: 142212609
{'hecke_orbit_code': 40532396679899264, 'n': 68, 'trace_an': 0}
-
id: 142212610
{'hecke_orbit_code': 40532396679899264, 'n': 69, 'trace_an': 0}
-
id: 142212611
{'hecke_orbit_code': 40532396679899264, 'n': 70, 'trace_an': 0}
-
id: 142212612
{'hecke_orbit_code': 40532396679899264, 'n': 71, 'trace_an': 12}
-
id: 142212613
{'hecke_orbit_code': 40532396679899264, 'n': 72, 'trace_an': 0}
-
id: 142212614
{'hecke_orbit_code': 40532396679899264, 'n': 73, 'trace_an': -13}
-
id: 142212615
{'hecke_orbit_code': 40532396679899264, 'n': 74, 'trace_an': 0}
-
id: 142212616
{'hecke_orbit_code': 40532396679899264, 'n': 75, 'trace_an': 0}
-
id: 142212617
{'hecke_orbit_code': 40532396679899264, 'n': 76, 'trace_an': 0}
-
id: 142212618
{'hecke_orbit_code': 40532396679899264, 'n': 77, 'trace_an': 8}
-
id: 142212619
{'hecke_orbit_code': 40532396679899264, 'n': 78, 'trace_an': 0}
-
id: 142212620
{'hecke_orbit_code': 40532396679899264, 'n': 79, 'trace_an': 10}
-
id: 142212621
{'hecke_orbit_code': 40532396679899264, 'n': 80, 'trace_an': 0}
-
id: 142212622
{'hecke_orbit_code': 40532396679899264, 'n': 81, 'trace_an': 0}
-
id: 142212623
{'hecke_orbit_code': 40532396679899264, 'n': 82, 'trace_an': 0}
-
id: 142212624
{'hecke_orbit_code': 40532396679899264, 'n': 83, 'trace_an': 6}
-
id: 142212625
{'hecke_orbit_code': 40532396679899264, 'n': 84, 'trace_an': 0}
-
id: 142212626
{'hecke_orbit_code': 40532396679899264, 'n': 85, 'trace_an': 7}
-
id: 142212627
{'hecke_orbit_code': 40532396679899264, 'n': 86, 'trace_an': 0}
-
id: 142212628
{'hecke_orbit_code': 40532396679899264, 'n': 87, 'trace_an': 0}
-
id: 142212629
{'hecke_orbit_code': 40532396679899264, 'n': 88, 'trace_an': 0}
-
id: 142212630
{'hecke_orbit_code': 40532396679899264, 'n': 89, 'trace_an': 5}
-
id: 142212631
{'hecke_orbit_code': 40532396679899264, 'n': 90, 'trace_an': 0}
-
id: 142212632
{'hecke_orbit_code': 40532396679899264, 'n': 91, 'trace_an': -4}
-
id: 142212633
{'hecke_orbit_code': 40532396679899264, 'n': 92, 'trace_an': 0}
-
id: 142212634
{'hecke_orbit_code': 40532396679899264, 'n': 93, 'trace_an': 0}
-
id: 142212635
{'hecke_orbit_code': 40532396679899264, 'n': 94, 'trace_an': 0}
-
id: 142212636
{'hecke_orbit_code': 40532396679899264, 'n': 95, 'trace_an': 8}
-
id: 142212637
{'hecke_orbit_code': 40532396679899264, 'n': 96, 'trace_an': 0}
-
id: 142212638
{'hecke_orbit_code': 40532396679899264, 'n': 97, 'trace_an': -2}
-
id: 142212639
{'hecke_orbit_code': 40532396679899264, 'n': 98, 'trace_an': 0}
-
id: 142212640
{'hecke_orbit_code': 40532396679899264, 'n': 99, 'trace_an': 0}
-
id: 142212641
{'hecke_orbit_code': 40532396679899264, 'n': 100, 'trace_an': 0}