-
mf_newforms • Show schema
Hide schema
{'Nk2': 48960, 'analytic_conductor': 97.73689207404719, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, 1], [17, 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': [12240, 1, [4591, 3061, 1361, 4897, 4321], [13, 13, 13, 13, 13]], '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': 13, 'hecke_orbit_code': 54043195562012624, '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': '12240.2.a.m', 'level': 12240, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 17], 'level_radical': 510, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{5}-2q^{13}-q^{17}+4q^{19}-8q^{23}+\\cdots', 'related_objects': ['EllipticCurve/Q/12240/m'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '12240.2.a', 'trace_display': [0, 0, -1, 0], 'traces': [1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -1, 0, 4, 0, 0, 0, -8, 0, 1, 0, 0, 0, 2, 0, 4, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, -8, 0, 0, 0, 12, 0, -7, 0, 0, 0, -6, 0, 0, 0, 0, 0, -12, 0, -2, 0, 0, 0, 2, 0, 16, 0, 0, 0, -12, 0, -6, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 1, 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 12240.2.a.m does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [7, 9, 9, 7, 11, 12, 11, 14, 9, 7, 7, 9, 13, 12, 13, 10], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [150, 151, 151, 149, 151, 146, 147, 148, 153, 151, 151, 153, 143, 148, 147, 146], 'Nk2': 48960, 'analytic_conductor': 97.73689207404719, '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': [12240, 1, [4591, 3061, 1361, 4897, 4321], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 2545, 'dim': 160, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_orbit_code': 33566672, '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, 2, 2, 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, 3, 3, 4, 4, 4], 'label': '12240.2.a', 'level': 12240, '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, 17], 'level_radical': 510, 'mf_dim': 2640, 'mf_new_dim': 160, 'num_forms': 101, 'plus_dim': 74, 'prim_orbit_index': 1, 'relative_dim': 160, 'sturm_bound': 5184, 'trace_display': [0, 0, 0, 12], 'traces': [160, 0, 0, 0, 0, 0, 12, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, -4, 0, 160, 0, 0, 0, -24, 0, -16, 0, 0, 0, 0, 0, -16, 0, 0, 0, 8, 0, -8, 0, 0, 0, 0, 0, 184, 0, 0, 0, -16, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 8, 0, 16, 0, 0, 0, 8, 0, 16, 0, 0, 0, -32, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, -8, 0, 0, 0, -16, 0, 32, 0, 0, 0, 40, 0, 8, 0, 0, 0, 44, 0, -16, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 136, 0, 0, 0, 0, 0, -8, 0, 0, 0, -32, 0, 0, 0, 0, 0, -16, 0, 8, 0, 0, 0, 32, 0, 0, 0, 0, 0, -16, 0, 64, 0, 0, 0, 0, 0, 16, 0, 0, 0, -24, 0, 52, 0, 0, 0, -92, 0, 184, 0, 0, 0, 64, 0, 12, 0, 0, 0, -96, 0, 24, 0, 0, 0, -8, 0, -12, 0, 0, 0, -16, 0, 16, 0, 0, 0, 0, 0, -16, 0, 0, 0, -104, 0, 24, 0, 0, 0, 16, 0, 136, 0, 0, 0, -28, 0, 64, 0, 0, 0, 0, 0, 32, 0, 0, 0, 36, 0, 8, 0, 0, 0, -16, 0, -12, 0, 0, 0, -48, 0, 56, 0, 0, 0, -8, 0, -32, 0, 0, 0, -32, 0, -64, 0, 0, 0, -32, 0, -96, 0, 0, 0, 104, 0, 8, 0, 0, 0, -16, 0, 80, 0, 0, 0, 8, 0, -48, 0, 0, 0, -8, 0, -4, 0, 0, 0, -176, 0, 160, 0, 0, 0, 16, 0, 16, 0, 0, 0, -64, 0, 40, 0, 0, 0, 8, 0, -120, 0, 0, 0, -56, 0, 48, 0, 0, 0, 80, 0, -160, 0, 0, 0, 24, 0, 0, 0, 0, 0, 8, 0, 72, 0, 0, 0, -60, 0, -16, 0, 0, 0, 8, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 48, 0, -24, 0, 0, 0, 64, 0, 168, 0, 0, 0, 8, 0, 108, 0, 0, 0, 128, 0, 32, 0, 0, 0, 128, 0, 144, 0, 0, 0, 96, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 16, 0, 104, 0, 0, 0, 24, 0, 40, 0, 0, 0, 64, 0, 20, 0, 0, 0, -64, 0, -40, 0, 0, 0, 0, 0, 16, 0, 0, 0, 168, 0, -96, 0, 0, 0, 48, 0, -56, 0, 0, 0, 40, 0, -32, 0, 0, 0, 72, 0, -48, 0, 0, 0, 0, 0, -96, 0, 0, 0, 32, 0, 120, 0, 0, 0, -8, 0, 8, 0, 0, 0, -176, 0, 8, 0, 0, 0, -104, 0, 0, 0, 0, 0, -32, 0, 172, 0, 0, 0, 104, 0, 0, 0, 0, 0, -96, 0, -16, 0, 0, 0, -76, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, 0, 16, 0, 208, 0, 0, 0, -36, 0, 120, 0, 0, 0, 16, 0, 48, 0, 0, 0, -232, 0, 8, 0, 0, 0, 56, 0, -36, 0, 0, 0, 208, 0, 16, 0, 0, 0, 48, 0, 96, 0, 0, 0, -96, 0, 8, 0, 0, 0, -88, 0, 256, 0, 0, 0, -4, 0, 16, 0, 0, 0, 216, 0, 168, 0, 0, 0, 96, 0, -48, 0, 0, 0, 128, 0, -12, 0, 0, 0, 32, 0, -72, 0, 0, 0, 64, 0, 156, 0, 0, 0, 24, 0, 96, 0, 0, 0, 0, 0, 168, 0, 0, 0, 88, 0, 160, 0, 0, 0, 8, 0, 160, 0, 0, 0, 36, 0, 48, 0, 0, 0, -152, 0, -132, 0, 0, 0, -224, 0, 0, 0, 0, 0, 208, 0, 24, 0, 0, 0, -312, 0, 16, 0, 0, 0, -32, 0, 152, 0, 0, 0, 256, 0, -80, 0, 0, 0, 160, 0, -128, 0, 0, 0, 188, 0, -32, 0, 0, 0, -56, 0, 8, 0, 0, 0, 8, 0, -16, 0, 0, 0, -120, 0, -144, 0, 0, 0, 216, 0, -88, 0, 0, 0, -144, 0, -80, 0, 0, 0, 104, 0, -40, 0, 0, 0, -24, 0, -136, 0, 0, 0, 0, 0, 48, 0, 0, 0, -160, 0, 168, 0, 0, 0, -52, 0, -8, 0, 0, 0, 184, 0, 120, 0, 0, 0, 72, 0, -48, 0, 0, 0, -8, 0, 224, 0, 0, 0, -64, 0, 128, 0, 0, 0, -64, 0, -16, 0, 0, 0, 48, 0, -8, 0, 0, 0, 8, 0, -300, 0, 0, 0, -48, 0, 112, 0, 0, 0, 96, 0, 0, 0, 0, 0, 96, 0, 24, 0, 0, 0, -64, 0, -16, 0, 0, 0, 40, 0, 176, 0, 0, 0, 192, 0, 76, 0, 0, 0, 172, 0, -176, 0, 0, 0, 0, 0, 48, 0, 0, 0, 112, 0, 72, 0, 0, 0, 0, 0, 300, 0, 0, 0, 96, 0, -144, 0, 0, 0, 16, 0, 184, 0, 0, 0, 336, 0, -72, 0, 0, 0, 8, 0, -32, 0, 0, 0, 0, 0, -176, 0, 0, 0, -72, 0, 168, 0, 0, 0, -324, 0, 8, 0, 0, 0, 176, 0, 32, 0, 0, 0, 312, 0, 48, 0, 0, 0, -24, 0, 284, 0, 0, 0, -16, 0, 48, 0, 0, 0, -48, 0, 128, 0, 0, 0, -16, 0, -16, 0, 0, 0, -72, 0, 56, 0, 0, 0, -28, 0, 80, 0, 0, 0, 40, 0, 96, 0, 0, 0, -124, 0, -208, 0, 0, 0, -176, 0, 120, 0, 0, 0, 424, 0, 208, 0, 0, 0, 8, 0, -8, 0, 0, 0, 56, 0, 80, 0, 0, 0, -128, 0, -248, 0, 0, 0, -44, 0, 24, 0, 0, 0, -104, 0, 256, 0, 0, 0, 8, 0, -144, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 12240.2.a.m does not appear in mf_twists_nf
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hecke_orbit_code 54043195562012624 does not appear in mf_hecke_charpolys
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label 12240.2.a.m does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 147472542
{'hecke_orbit_code': 54043195562012624, 'n': 1, 'trace_an': 1}
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id: 147472543
{'hecke_orbit_code': 54043195562012624, 'n': 2, 'trace_an': 0}
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id: 147472544
{'hecke_orbit_code': 54043195562012624, 'n': 3, 'trace_an': 0}
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id: 147472545
{'hecke_orbit_code': 54043195562012624, 'n': 4, 'trace_an': 0}
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id: 147472546
{'hecke_orbit_code': 54043195562012624, 'n': 5, 'trace_an': -1}
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id: 147472547
{'hecke_orbit_code': 54043195562012624, 'n': 6, 'trace_an': 0}
-
id: 147472548
{'hecke_orbit_code': 54043195562012624, 'n': 7, 'trace_an': 0}
-
id: 147472549
{'hecke_orbit_code': 54043195562012624, 'n': 8, 'trace_an': 0}
-
id: 147472550
{'hecke_orbit_code': 54043195562012624, 'n': 9, 'trace_an': 0}
-
id: 147472551
{'hecke_orbit_code': 54043195562012624, 'n': 10, 'trace_an': 0}
-
id: 147472552
{'hecke_orbit_code': 54043195562012624, 'n': 11, 'trace_an': 0}
-
id: 147472553
{'hecke_orbit_code': 54043195562012624, 'n': 12, 'trace_an': 0}
-
id: 147472554
{'hecke_orbit_code': 54043195562012624, 'n': 13, 'trace_an': -2}
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id: 147472555
{'hecke_orbit_code': 54043195562012624, 'n': 14, 'trace_an': 0}
-
id: 147472556
{'hecke_orbit_code': 54043195562012624, 'n': 15, 'trace_an': 0}
-
id: 147472557
{'hecke_orbit_code': 54043195562012624, 'n': 16, 'trace_an': 0}
-
id: 147472558
{'hecke_orbit_code': 54043195562012624, 'n': 17, 'trace_an': -1}
-
id: 147472559
{'hecke_orbit_code': 54043195562012624, 'n': 18, 'trace_an': 0}
-
id: 147472560
{'hecke_orbit_code': 54043195562012624, 'n': 19, 'trace_an': 4}
-
id: 147472561
{'hecke_orbit_code': 54043195562012624, 'n': 20, 'trace_an': 0}
-
id: 147472562
{'hecke_orbit_code': 54043195562012624, 'n': 21, 'trace_an': 0}
-
id: 147472563
{'hecke_orbit_code': 54043195562012624, 'n': 22, 'trace_an': 0}
-
id: 147472564
{'hecke_orbit_code': 54043195562012624, 'n': 23, 'trace_an': -8}
-
id: 147472565
{'hecke_orbit_code': 54043195562012624, 'n': 24, 'trace_an': 0}
-
id: 147472566
{'hecke_orbit_code': 54043195562012624, 'n': 25, 'trace_an': 1}
-
id: 147472567
{'hecke_orbit_code': 54043195562012624, 'n': 26, 'trace_an': 0}
-
id: 147472568
{'hecke_orbit_code': 54043195562012624, 'n': 27, 'trace_an': 0}
-
id: 147472569
{'hecke_orbit_code': 54043195562012624, 'n': 28, 'trace_an': 0}
-
id: 147472570
{'hecke_orbit_code': 54043195562012624, 'n': 29, 'trace_an': 2}
-
id: 147472571
{'hecke_orbit_code': 54043195562012624, 'n': 30, 'trace_an': 0}
-
id: 147472572
{'hecke_orbit_code': 54043195562012624, 'n': 31, 'trace_an': 4}
-
id: 147472573
{'hecke_orbit_code': 54043195562012624, 'n': 32, 'trace_an': 0}
-
id: 147472574
{'hecke_orbit_code': 54043195562012624, 'n': 33, 'trace_an': 0}
-
id: 147472575
{'hecke_orbit_code': 54043195562012624, 'n': 34, 'trace_an': 0}
-
id: 147472576
{'hecke_orbit_code': 54043195562012624, 'n': 35, 'trace_an': 0}
-
id: 147472577
{'hecke_orbit_code': 54043195562012624, 'n': 36, 'trace_an': 0}
-
id: 147472578
{'hecke_orbit_code': 54043195562012624, 'n': 37, 'trace_an': 6}
-
id: 147472579
{'hecke_orbit_code': 54043195562012624, 'n': 38, 'trace_an': 0}
-
id: 147472580
{'hecke_orbit_code': 54043195562012624, 'n': 39, 'trace_an': 0}
-
id: 147472581
{'hecke_orbit_code': 54043195562012624, 'n': 40, 'trace_an': 0}
-
id: 147472582
{'hecke_orbit_code': 54043195562012624, 'n': 41, 'trace_an': 6}
-
id: 147472583
{'hecke_orbit_code': 54043195562012624, 'n': 42, 'trace_an': 0}
-
id: 147472584
{'hecke_orbit_code': 54043195562012624, 'n': 43, 'trace_an': -8}
-
id: 147472585
{'hecke_orbit_code': 54043195562012624, 'n': 44, 'trace_an': 0}
-
id: 147472586
{'hecke_orbit_code': 54043195562012624, 'n': 45, 'trace_an': 0}
-
id: 147472587
{'hecke_orbit_code': 54043195562012624, 'n': 46, 'trace_an': 0}
-
id: 147472588
{'hecke_orbit_code': 54043195562012624, 'n': 47, 'trace_an': 12}
-
id: 147472589
{'hecke_orbit_code': 54043195562012624, 'n': 48, 'trace_an': 0}
-
id: 147472590
{'hecke_orbit_code': 54043195562012624, 'n': 49, 'trace_an': -7}
-
id: 147472591
{'hecke_orbit_code': 54043195562012624, 'n': 50, 'trace_an': 0}
-
id: 147472592
{'hecke_orbit_code': 54043195562012624, 'n': 51, 'trace_an': 0}
-
id: 147472593
{'hecke_orbit_code': 54043195562012624, 'n': 52, 'trace_an': 0}
-
id: 147472594
{'hecke_orbit_code': 54043195562012624, 'n': 53, 'trace_an': -6}
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id: 147472595
{'hecke_orbit_code': 54043195562012624, 'n': 54, 'trace_an': 0}
-
id: 147472596
{'hecke_orbit_code': 54043195562012624, 'n': 55, 'trace_an': 0}
-
id: 147472597
{'hecke_orbit_code': 54043195562012624, 'n': 56, 'trace_an': 0}
-
id: 147472598
{'hecke_orbit_code': 54043195562012624, 'n': 57, 'trace_an': 0}
-
id: 147472599
{'hecke_orbit_code': 54043195562012624, 'n': 58, 'trace_an': 0}
-
id: 147472600
{'hecke_orbit_code': 54043195562012624, 'n': 59, 'trace_an': -12}
-
id: 147472601
{'hecke_orbit_code': 54043195562012624, 'n': 60, 'trace_an': 0}
-
id: 147472602
{'hecke_orbit_code': 54043195562012624, 'n': 61, 'trace_an': -2}
-
id: 147472603
{'hecke_orbit_code': 54043195562012624, 'n': 62, 'trace_an': 0}
-
id: 147472604
{'hecke_orbit_code': 54043195562012624, 'n': 63, 'trace_an': 0}
-
id: 147472605
{'hecke_orbit_code': 54043195562012624, 'n': 64, 'trace_an': 0}
-
id: 147472606
{'hecke_orbit_code': 54043195562012624, 'n': 65, 'trace_an': 2}
-
id: 147472607
{'hecke_orbit_code': 54043195562012624, 'n': 66, 'trace_an': 0}
-
id: 147472608
{'hecke_orbit_code': 54043195562012624, 'n': 67, 'trace_an': 16}
-
id: 147472609
{'hecke_orbit_code': 54043195562012624, 'n': 68, 'trace_an': 0}
-
id: 147472610
{'hecke_orbit_code': 54043195562012624, 'n': 69, 'trace_an': 0}
-
id: 147472611
{'hecke_orbit_code': 54043195562012624, 'n': 70, 'trace_an': 0}
-
id: 147472612
{'hecke_orbit_code': 54043195562012624, 'n': 71, 'trace_an': -12}
-
id: 147472613
{'hecke_orbit_code': 54043195562012624, 'n': 72, 'trace_an': 0}
-
id: 147472614
{'hecke_orbit_code': 54043195562012624, 'n': 73, 'trace_an': -6}
-
id: 147472615
{'hecke_orbit_code': 54043195562012624, 'n': 74, 'trace_an': 0}
-
id: 147472616
{'hecke_orbit_code': 54043195562012624, 'n': 75, 'trace_an': 0}
-
id: 147472617
{'hecke_orbit_code': 54043195562012624, 'n': 76, 'trace_an': 0}
-
id: 147472618
{'hecke_orbit_code': 54043195562012624, 'n': 77, 'trace_an': 0}
-
id: 147472619
{'hecke_orbit_code': 54043195562012624, 'n': 78, 'trace_an': 0}
-
id: 147472620
{'hecke_orbit_code': 54043195562012624, 'n': 79, 'trace_an': 4}
-
id: 147472621
{'hecke_orbit_code': 54043195562012624, 'n': 80, 'trace_an': 0}
-
id: 147472622
{'hecke_orbit_code': 54043195562012624, 'n': 81, 'trace_an': 0}
-
id: 147472623
{'hecke_orbit_code': 54043195562012624, 'n': 82, 'trace_an': 0}
-
id: 147472624
{'hecke_orbit_code': 54043195562012624, 'n': 83, 'trace_an': 0}
-
id: 147472625
{'hecke_orbit_code': 54043195562012624, 'n': 84, 'trace_an': 0}
-
id: 147472626
{'hecke_orbit_code': 54043195562012624, 'n': 85, 'trace_an': 1}
-
id: 147472627
{'hecke_orbit_code': 54043195562012624, 'n': 86, 'trace_an': 0}
-
id: 147472628
{'hecke_orbit_code': 54043195562012624, 'n': 87, 'trace_an': 0}
-
id: 147472629
{'hecke_orbit_code': 54043195562012624, 'n': 88, 'trace_an': 0}
-
id: 147472630
{'hecke_orbit_code': 54043195562012624, 'n': 89, 'trace_an': -10}
-
id: 147472631
{'hecke_orbit_code': 54043195562012624, 'n': 90, 'trace_an': 0}
-
id: 147472632
{'hecke_orbit_code': 54043195562012624, 'n': 91, 'trace_an': 0}
-
id: 147472633
{'hecke_orbit_code': 54043195562012624, 'n': 92, 'trace_an': 0}
-
id: 147472634
{'hecke_orbit_code': 54043195562012624, 'n': 93, 'trace_an': 0}
-
id: 147472635
{'hecke_orbit_code': 54043195562012624, 'n': 94, 'trace_an': 0}
-
id: 147472636
{'hecke_orbit_code': 54043195562012624, 'n': 95, 'trace_an': -4}
-
id: 147472637
{'hecke_orbit_code': 54043195562012624, 'n': 96, 'trace_an': 0}
-
id: 147472638
{'hecke_orbit_code': 54043195562012624, 'n': 97, 'trace_an': 2}
-
id: 147472639
{'hecke_orbit_code': 54043195562012624, 'n': 98, 'trace_an': 0}
-
id: 147472640
{'hecke_orbit_code': 54043195562012624, 'n': 99, 'trace_an': 0}
-
id: 147472641
{'hecke_orbit_code': 54043195562012624, 'n': 100, 'trace_an': 0}