-
mf_newforms • Show schema
Hide schema
{'Nk2': 41216, 'analytic_conductor': 82.2778542427273, 'atkin_lehner_eigenvals': [[2, -1], [7, -1], [23, -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': [10304, 1, [9983, 645, 1473, 6721], [79, 79, 79, 79]], 'cm_discs': [], 'conrey_index': 1, 'dim': 5, 'field_disc': 5, 'field_disc_factorization': [[5, 1]], 'field_poly': [10, 29, 10, -10, -2, 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': 79, 'hecke_orbit_code': 351280770968463424, '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': '10304.2.a.da', 'level': 10304, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 23], 'level_radical': 322, 'nf_label': '5.5.6963152.1', 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '10304.2.a', 'trace_display': [0, 3, -2, 5], 'traces': [5, 0, 3, 0, -2, 0, 5, 0, 10, 0, 2, 0, -13, 0, -4, 0, 4, 0, 12, 0, 3, 0, 5, 0, 19, 0, 15, 0, -13, 0, 3, 0, 24, 0, -2, 0, 4, 0, -3, 0, 1, 0, -8, 0, 16, 0, -5, 0, 5, 0, -16, 0, 8, 0, 2, 0, 12, 0, 12, 0, -20, 0, 10, 0, -12, 0, -12, 0, 3, 0, -9, 0, -9, 0, 35, 0, 2, 0, 8, 0, -11, 0, -28, 0, -16, 0, 15, 0, 32, 0, -13, 0, 15, 0, 36, 0, 4, 0, 28, 0], 'weight': 2, 'weight_parity': 1}
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label 10304.2.a.da does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [30, 35, 38, 27, 36, 31, 28, 39], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [150, 160, 161, 156, 161, 150, 153, 158], 'Nk2': 41216, 'analytic_conductor': 82.2778542427273, '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': [10304, 1, [9983, 645, 1473, 6721], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1513, 'dim': 264, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_orbit_code': 33564736, '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, 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, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 9, 9, 11, 11, 12, 12], 'label': '10304.2.a', 'level': 10304, '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, 7, 23], 'level_radical': 322, 'mf_dim': 1560, 'mf_new_dim': 264, 'num_forms': 90, 'plus_dim': 116, 'prim_orbit_index': 1, 'relative_dim': 264, 'sturm_bound': 3072, 'trace_display': [0, 0, 0, 0], 'traces': [264, 0, 0, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 280, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 296, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 48, 0, 0, 0, 16, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 48, 0, 0, 0, 264, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -48, 0, 0, 0, 64, 0, 0, 0, -96, 0, 0, 0, 80, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 344, 0, 0, 0, 48, 0, 0, 0, -32, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 128, 0, 0, 0, -32, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 344, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 128, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, -80, 0, 0, 0, 224, 0, 0, 0, 344, 0, 0, 0, 224, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 128, 0, 0, 0, 176, 0, 0, 0, 48, 0, 0, 0, 32, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 264, 0, 0, 0, 128, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 432, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 480, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 160, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 264, 0, 0, 0, 128, 0, 0, 0, -16, 0, 0, 0, 272, 0, 0, 0, 112, 0, 0, 0, 256, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 64, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 64, 0, 0, 0, 384, 0, 0, 0, 128, 0, 0, 0, 96, 0, 0, 0, -80, 0, 0, 0, 160, 0, 0, 0, 264, 0, 0, 0, 208, 0, 0, 0, -256, 0, 0, 0, -192, 0, 0, 0, 128, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 320, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 32, 0, 0, 0, 16, 0, 0, 0, -96, 0, 0, 0, 192, 0, 0, 0, 160, 0, 0, 0, -272, 0, 0, 0, 288, 0, 0, 0, -80, 0, 0, 0, 480, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -80, 0, 0, 0, 48, 0, 0, 0, 8, 0, 0, 0, 384, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 384, 0, 0, 0, -160, 0, 0, 0, 128, 0, 0, 0, -176, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, -176, 0, 0, 0, 64, 0, 0, 0, -160, 0, 0, 0, 352, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 64, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -624, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 264, 0, 0, 0, 64, 0, 0, 0, -96, 0, 0, 0, -224, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, -416, 0, 0, 0, 80, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, -320, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 224, 0, 0, 0, 160, 0, 0, 0, 208, 0, 0, 0, 416, 0, 0, 0, 368, 0, 0, 0, 16, 0, 0, 0, -176, 0, 0, 0, 344, 0, 0, 0, -288, 0, 0, 0, -32, 0, 0, 0, -336, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, -224, 0, 0, 0, -48, 0, 0, 0, -336, 0, 0, 0, 144, 0, 0, 0, -736, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, -96, 0, 0, 0, -384, 0, 0, 0, 256, 0, 0, 0, 624, 0, 0, 0, -160, 0, 0, 0, 160, 0, 0, 0, 224, 0, 0, 0, -480, 0, 0, 0, 144, 0, 0, 0, 48, 0, 0, 0, -16, 0, 0, 0, -576, 0, 0, 0, 0, 0, 0, 0, 496, 0, 0, 0, -80, 0, 0, 0, 96, 0, 0, 0, 328, 0, 0, 0, 416, 0, 0, 0, 192, 0, 0, 0, 192, 0, 0, 0, 80, 0, 0, 0, 384, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, -112, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 10304.2.a.da does not appear in mf_twists_nf
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hecke_orbit_code 351280770968463424 does not appear in mf_hecke_charpolys
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label 10304.2.a.da does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 179223542
{'hecke_orbit_code': 351280770968463424, 'n': 1, 'trace_an': 5}
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id: 179223543
{'hecke_orbit_code': 351280770968463424, 'n': 2, 'trace_an': 0}
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id: 179223544
{'hecke_orbit_code': 351280770968463424, 'n': 3, 'trace_an': 3}
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id: 179223545
{'hecke_orbit_code': 351280770968463424, 'n': 4, 'trace_an': 0}
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id: 179223546
{'hecke_orbit_code': 351280770968463424, 'n': 5, 'trace_an': -2}
-
id: 179223547
{'hecke_orbit_code': 351280770968463424, 'n': 6, 'trace_an': 0}
-
id: 179223548
{'hecke_orbit_code': 351280770968463424, 'n': 7, 'trace_an': 5}
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id: 179223549
{'hecke_orbit_code': 351280770968463424, 'n': 8, 'trace_an': 0}
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id: 179223550
{'hecke_orbit_code': 351280770968463424, 'n': 9, 'trace_an': 10}
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id: 179223551
{'hecke_orbit_code': 351280770968463424, 'n': 10, 'trace_an': 0}
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id: 179223552
{'hecke_orbit_code': 351280770968463424, 'n': 11, 'trace_an': 2}
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id: 179223553
{'hecke_orbit_code': 351280770968463424, 'n': 12, 'trace_an': 0}
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id: 179223554
{'hecke_orbit_code': 351280770968463424, 'n': 13, 'trace_an': -13}
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id: 179223555
{'hecke_orbit_code': 351280770968463424, 'n': 14, 'trace_an': 0}
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id: 179223556
{'hecke_orbit_code': 351280770968463424, 'n': 15, 'trace_an': -4}
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id: 179223557
{'hecke_orbit_code': 351280770968463424, 'n': 16, 'trace_an': 0}
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id: 179223558
{'hecke_orbit_code': 351280770968463424, 'n': 17, 'trace_an': 4}
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id: 179223559
{'hecke_orbit_code': 351280770968463424, 'n': 18, 'trace_an': 0}
-
id: 179223560
{'hecke_orbit_code': 351280770968463424, 'n': 19, 'trace_an': 12}
-
id: 179223561
{'hecke_orbit_code': 351280770968463424, 'n': 20, 'trace_an': 0}
-
id: 179223562
{'hecke_orbit_code': 351280770968463424, 'n': 21, 'trace_an': 3}
-
id: 179223563
{'hecke_orbit_code': 351280770968463424, 'n': 22, 'trace_an': 0}
-
id: 179223564
{'hecke_orbit_code': 351280770968463424, 'n': 23, 'trace_an': 5}
-
id: 179223565
{'hecke_orbit_code': 351280770968463424, 'n': 24, 'trace_an': 0}
-
id: 179223566
{'hecke_orbit_code': 351280770968463424, 'n': 25, 'trace_an': 19}
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id: 179223567
{'hecke_orbit_code': 351280770968463424, 'n': 26, 'trace_an': 0}
-
id: 179223568
{'hecke_orbit_code': 351280770968463424, 'n': 27, 'trace_an': 15}
-
id: 179223569
{'hecke_orbit_code': 351280770968463424, 'n': 28, 'trace_an': 0}
-
id: 179223570
{'hecke_orbit_code': 351280770968463424, 'n': 29, 'trace_an': -13}
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id: 179223571
{'hecke_orbit_code': 351280770968463424, 'n': 30, 'trace_an': 0}
-
id: 179223572
{'hecke_orbit_code': 351280770968463424, 'n': 31, 'trace_an': 3}
-
id: 179223573
{'hecke_orbit_code': 351280770968463424, 'n': 32, 'trace_an': 0}
-
id: 179223574
{'hecke_orbit_code': 351280770968463424, 'n': 33, 'trace_an': 24}
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id: 179223575
{'hecke_orbit_code': 351280770968463424, 'n': 34, 'trace_an': 0}
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id: 179223576
{'hecke_orbit_code': 351280770968463424, 'n': 35, 'trace_an': -2}
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id: 179223577
{'hecke_orbit_code': 351280770968463424, 'n': 36, 'trace_an': 0}
-
id: 179223578
{'hecke_orbit_code': 351280770968463424, 'n': 37, 'trace_an': 4}
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id: 179223579
{'hecke_orbit_code': 351280770968463424, 'n': 38, 'trace_an': 0}
-
id: 179223580
{'hecke_orbit_code': 351280770968463424, 'n': 39, 'trace_an': -3}
-
id: 179223581
{'hecke_orbit_code': 351280770968463424, 'n': 40, 'trace_an': 0}
-
id: 179223582
{'hecke_orbit_code': 351280770968463424, 'n': 41, 'trace_an': 1}
-
id: 179223583
{'hecke_orbit_code': 351280770968463424, 'n': 42, 'trace_an': 0}
-
id: 179223584
{'hecke_orbit_code': 351280770968463424, 'n': 43, 'trace_an': -8}
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id: 179223585
{'hecke_orbit_code': 351280770968463424, 'n': 44, 'trace_an': 0}
-
id: 179223586
{'hecke_orbit_code': 351280770968463424, 'n': 45, 'trace_an': 16}
-
id: 179223587
{'hecke_orbit_code': 351280770968463424, 'n': 46, 'trace_an': 0}
-
id: 179223588
{'hecke_orbit_code': 351280770968463424, 'n': 47, 'trace_an': -5}
-
id: 179223589
{'hecke_orbit_code': 351280770968463424, 'n': 48, 'trace_an': 0}
-
id: 179223590
{'hecke_orbit_code': 351280770968463424, 'n': 49, 'trace_an': 5}
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id: 179223591
{'hecke_orbit_code': 351280770968463424, 'n': 50, 'trace_an': 0}
-
id: 179223592
{'hecke_orbit_code': 351280770968463424, 'n': 51, 'trace_an': -16}
-
id: 179223593
{'hecke_orbit_code': 351280770968463424, 'n': 52, 'trace_an': 0}
-
id: 179223594
{'hecke_orbit_code': 351280770968463424, 'n': 53, 'trace_an': 8}
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id: 179223595
{'hecke_orbit_code': 351280770968463424, 'n': 54, 'trace_an': 0}
-
id: 179223596
{'hecke_orbit_code': 351280770968463424, 'n': 55, 'trace_an': 2}
-
id: 179223597
{'hecke_orbit_code': 351280770968463424, 'n': 56, 'trace_an': 0}
-
id: 179223598
{'hecke_orbit_code': 351280770968463424, 'n': 57, 'trace_an': 12}
-
id: 179223599
{'hecke_orbit_code': 351280770968463424, 'n': 58, 'trace_an': 0}
-
id: 179223600
{'hecke_orbit_code': 351280770968463424, 'n': 59, 'trace_an': 12}
-
id: 179223601
{'hecke_orbit_code': 351280770968463424, 'n': 60, 'trace_an': 0}
-
id: 179223602
{'hecke_orbit_code': 351280770968463424, 'n': 61, 'trace_an': -20}
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id: 179223603
{'hecke_orbit_code': 351280770968463424, 'n': 62, 'trace_an': 0}
-
id: 179223604
{'hecke_orbit_code': 351280770968463424, 'n': 63, 'trace_an': 10}
-
id: 179223605
{'hecke_orbit_code': 351280770968463424, 'n': 64, 'trace_an': 0}
-
id: 179223606
{'hecke_orbit_code': 351280770968463424, 'n': 65, 'trace_an': -12}
-
id: 179223607
{'hecke_orbit_code': 351280770968463424, 'n': 66, 'trace_an': 0}
-
id: 179223608
{'hecke_orbit_code': 351280770968463424, 'n': 67, 'trace_an': -12}
-
id: 179223609
{'hecke_orbit_code': 351280770968463424, 'n': 68, 'trace_an': 0}
-
id: 179223610
{'hecke_orbit_code': 351280770968463424, 'n': 69, 'trace_an': 3}
-
id: 179223611
{'hecke_orbit_code': 351280770968463424, 'n': 70, 'trace_an': 0}
-
id: 179223612
{'hecke_orbit_code': 351280770968463424, 'n': 71, 'trace_an': -9}
-
id: 179223613
{'hecke_orbit_code': 351280770968463424, 'n': 72, 'trace_an': 0}
-
id: 179223614
{'hecke_orbit_code': 351280770968463424, 'n': 73, 'trace_an': -9}
-
id: 179223615
{'hecke_orbit_code': 351280770968463424, 'n': 74, 'trace_an': 0}
-
id: 179223616
{'hecke_orbit_code': 351280770968463424, 'n': 75, 'trace_an': 35}
-
id: 179223617
{'hecke_orbit_code': 351280770968463424, 'n': 76, 'trace_an': 0}
-
id: 179223618
{'hecke_orbit_code': 351280770968463424, 'n': 77, 'trace_an': 2}
-
id: 179223619
{'hecke_orbit_code': 351280770968463424, 'n': 78, 'trace_an': 0}
-
id: 179223620
{'hecke_orbit_code': 351280770968463424, 'n': 79, 'trace_an': 8}
-
id: 179223621
{'hecke_orbit_code': 351280770968463424, 'n': 80, 'trace_an': 0}
-
id: 179223622
{'hecke_orbit_code': 351280770968463424, 'n': 81, 'trace_an': -11}
-
id: 179223623
{'hecke_orbit_code': 351280770968463424, 'n': 82, 'trace_an': 0}
-
id: 179223624
{'hecke_orbit_code': 351280770968463424, 'n': 83, 'trace_an': -28}
-
id: 179223625
{'hecke_orbit_code': 351280770968463424, 'n': 84, 'trace_an': 0}
-
id: 179223626
{'hecke_orbit_code': 351280770968463424, 'n': 85, 'trace_an': -16}
-
id: 179223627
{'hecke_orbit_code': 351280770968463424, 'n': 86, 'trace_an': 0}
-
id: 179223628
{'hecke_orbit_code': 351280770968463424, 'n': 87, 'trace_an': 15}
-
id: 179223629
{'hecke_orbit_code': 351280770968463424, 'n': 88, 'trace_an': 0}
-
id: 179223630
{'hecke_orbit_code': 351280770968463424, 'n': 89, 'trace_an': 32}
-
id: 179223631
{'hecke_orbit_code': 351280770968463424, 'n': 90, 'trace_an': 0}
-
id: 179223632
{'hecke_orbit_code': 351280770968463424, 'n': 91, 'trace_an': -13}
-
id: 179223633
{'hecke_orbit_code': 351280770968463424, 'n': 92, 'trace_an': 0}
-
id: 179223634
{'hecke_orbit_code': 351280770968463424, 'n': 93, 'trace_an': 15}
-
id: 179223635
{'hecke_orbit_code': 351280770968463424, 'n': 94, 'trace_an': 0}
-
id: 179223636
{'hecke_orbit_code': 351280770968463424, 'n': 95, 'trace_an': 36}
-
id: 179223637
{'hecke_orbit_code': 351280770968463424, 'n': 96, 'trace_an': 0}
-
id: 179223638
{'hecke_orbit_code': 351280770968463424, 'n': 97, 'trace_an': 4}
-
id: 179223639
{'hecke_orbit_code': 351280770968463424, 'n': 98, 'trace_an': 0}
-
id: 179223640
{'hecke_orbit_code': 351280770968463424, 'n': 99, 'trace_an': 28}
-
id: 179223641
{'hecke_orbit_code': 351280770968463424, 'n': 100, 'trace_an': 0}