-
mf_newforms • Show schema
Hide schema
{'Nk2': 69600, 'analytic_conductor': 138.93969951702786, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, 1], [29, -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': [17400, 1, [4351, 8701, 5801, 4177, 9601], [56, 56, 56, 56, 56]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 3, 'field_disc_factorization': [[3, 1]], 'field_poly': [-1, -4, 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': 56, 'hecke_orbit_code': 247697979538949112, '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': '17400.2.a.cd', 'level': 17400, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 29], 'level_radical': 870, 'nf_label': '3.3.229.1', 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '17400.2.a', 'trace_display': [0, 3, 0, -1], 'traces': [3, 0, 3, 0, 0, 0, -1, 0, 3, 0, 1, 0, -1, 0, 0, 0, 3, 0, 8, 0, -1, 0, 6, 0, 0, 0, 3, 0, 3, 0, 10, 0, 1, 0, 0, 0, 4, 0, -1, 0, -14, 0, 4, 0, 0, 0, 1, 0, -8, 0, 3, 0, 6, 0, 0, 0, 8, 0, 10, 0, 12, 0, -1, 0, 0, 0, -19, 0, 6, 0, 4, 0, -8, 0, 0, 0, -13, 0, 16, 0, 3, 0, -4, 0, 0, 0, 3, 0, 7, 0, 23, 0, 10, 0, 0, 0, 30, 0, 1, 0], 'weight': 2, 'weight_parity': 1}
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label 17400.2.a.cd does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [15, 15, 19, 17, 18, 15, 15, 19, 15, 15, 17, 19, 15, 18, 19, 15], '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': [193, 219, 214, 195, 219, 195, 196, 213, 204, 213, 212, 195, 210, 198, 196, 215], 'Nk2': 69600, 'analytic_conductor': 138.93969951702786, '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': [17400, 1, [4351, 8701, 5801, 4177, 9601], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 3553, 'dim': 266, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_orbit_code': 33571832, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 11, 11, 11, 11], 'label': '17400.2.a', 'level': 17400, '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, 29], 'level_radical': 870, 'mf_dim': 3648, 'mf_new_dim': 266, 'num_forms': 86, 'plus_dim': 124, 'prim_orbit_index': 1, 'relative_dim': 266, 'sturm_bound': 7200, 'trace_display': [0, 2, 0, 4], 'traces': [266, 0, 2, 0, 0, 0, 4, 0, 266, 0, 8, 0, 4, 0, 0, 0, 0, 0, 0, 0, 8, 0, -24, 0, 0, 0, 2, 0, 0, 0, 4, 0, 0, 0, 0, 0, 8, 0, 4, 0, -32, 0, 16, 0, 0, 0, 40, 0, 246, 0, 0, 0, -8, 0, 0, 0, 12, 0, 28, 0, 16, 0, 4, 0, 0, 0, 16, 0, 8, 0, 32, 0, 4, 0, 0, 0, -16, 0, 92, 0, 266, 0, -28, 0, 0, 0, 0, 0, -24, 0, 88, 0, -20, 0, 0, 0, 20, 0, 8, 0, -32, 0, -4, 0, 0, 0, 44, 0, -20, 0, 44, 0, -16, 0, 0, 0, 4, 0, -32, 0, 282, 0, 16, 0, 0, 0, -12, 0, 4, 0, 48, 0, -24, 0, 0, 0, -40, 0, 88, 0, 16, 0, -16, 0, 0, 0, 34, 0, 40, 0, 20, 0, 0, 0, 0, 0, -8, 0, 0, 0, -48, 0, 32, 0, 0, 0, 40, 0, 262, 0, 0, 0, 8, 0, 0, 0, -4, 0, 44, 0, 28, 0, 32, 0, 0, 0, 64, 0, 8, 0, 40, 0, -76, 0, 0, 0, -24, 0, -32, 0, 16, 0, 0, 0, 0, 0, -24, 0, -64, 0, -8, 0, 0, 0, 0, 0, -8, 0, 52, 0, 0, 0, -8, 0, 0, 0, -28, 0, 32, 0, -72, 0, -52, 0, 0, 0, 28, 0, -8, 0, 0, 0, 2, 0, 0, 0, 0, 0, 12, 0, -144, 0, -80, 0, 0, 0, -20, 0, -208, 0, 0, 0, -64, 0, 0, 0, 8, 0, -48, 0, -12, 0, -48, 0, 0, 0, -92, 0, 4, 0, -76, 0, -16, 0, 0, 0, 16, 0, 162, 0, 28, 0, 0, 0, 0, 0, 0, 0, -136, 0, 64, 0, -24, 0, 0, 0, 32, 0, 24, 0, -16, 0, -24, 0, 0, 0, 80, 0, 0, 0, 12, 0, -80, 0, 0, 0, 20, 0, -112, 0, -104, 0, 8, 0, 0, 0, -4, 0, -32, 0, 24, 0, 92, 0, 0, 0, -92, 0, 68, 0, 4, 0, -148, 0, 0, 0, -24, 0, -32, 0, 166, 0, 10, 0, 0, 0, -12, 0, -32, 0, -24, 0, 60, 0, 0, 0, 0, 0, -48, 0, 68, 0, -24, 0, 0, 0, 16, 0, 0, 0, 8, 0, 40, 0, 0, 0, 12, 0, 116, 0, 20, 0, -8, 0, 0, 0, 48, 0, 28, 0, 40, 0, 32, 0, 0, 0, -24, 0, -68, 0, 16, 0, 40, 0, 0, 0, 64, 0, -32, 0, -40, 0, -156, 0, 0, 0, 0, 0, 28, 0, 246, 0, -24, 0, 0, 0, -16, 0, -160, 0, 40, 0, -8, 0, 0, 0, -8, 0, 0, 0, 112, 0, 144, 0, 0, 0, 16, 0, -88, 0, 12, 0, -56, 0, 0, 0, -8, 0, 264, 0, -32, 0, 48, 0, 0, 0, 108, 0, -28, 0, 432, 0, -12, 0, 0, 0, 80, 0, 104, 0, -88, 0, 176, 0, 0, 0, 78, 0, 112, 0, 424, 0, 12, 0, 0, 0, 96, 0, 16, 0, 76, 0, 56, 0, 0, 0, 16, 0, 90, 0, 28, 0, -96, 0, 0, 0, -44, 0, 344, 0, -104, 0, 68, 0, 0, 0, 152, 0, 16, 0, 0, 0, 112, 0, 0, 0, 72, 0, 104, 0, -152, 0, 168, 0, 0, 0, 4, 0, -8, 0, 168, 0, 0, 0, 0, 0, 52, 0, 12, 0, 144, 0, -80, 0, 0, 0, -132, 0, -96, 0, 24, 0, -44, 0, 0, 0, 16, 0, -96, 0, 68, 0, 16, 0, 0, 0, 60, 0, 8, 0, -288, 0, 60, 0, 0, 0, 112, 0, 472, 0, 8, 0, 0, 0, 0, 0, 96, 0, 32, 0, 76, 0, 28, 0, 0, 0, 132, 0, 32, 0, 24, 0, 64, 0, 0, 0, -24, 0, 8, 0, 136, 0, 224, 0, 0, 0, 4, 0, -96, 0, -4, 0, -24, 0, 0, 0, 24, 0, -64, 0, 520, 0, -104, 0, 0, 0, 224, 0, 136, 0, -36, 0, -36, 0, 0, 0, 44, 0, -136, 0, 8, 0, -16, 0, 0, 0, 68, 0, -36, 0, 168, 0, -84, 0, 0, 0, 128, 0, 108, 0, 92, 0, -80, 0, 0, 0, 0, 0, -208, 0, -204, 0, 84, 0, 0, 0, 196, 0, 266, 0, 280, 0, 72, 0, 0, 0, 48, 0, 160, 0, 8, 0, -152, 0, 0, 0, -28, 0, 72, 0, -36, 0, -96, 0, 0, 0, 40, 0, 24, 0, 92, 0, -96, 0, 0, 0, 128, 0, -4, 0, -44, 0, 16, 0, 0, 0, -52, 0, -216, 0, -128, 0, 0, 0, 0, 0, 24, 0, -40, 0, 128, 0, -96, 0, 0, 0, 256, 0, 156, 0, -24, 0, -88, 0, 0, 0, -64, 0, -160, 0, -72, 0, -44, 0, 0, 0, -60, 0, 88, 0, 96, 0, 60, 0, 0, 0, 176, 0, 16, 0, -20, 0, -64, 0, 0, 0, -20, 0, -64, 0, 266, 0, -92, 0, 0, 0, 12, 0, -80, 0, -144, 0, -16, 0, 0, 0, -84, 0, -96, 0, -104, 0, -176, 0, 0, 0, 86, 0, -168, 0, 48, 0, 20, 0, 0, 0, 228, 0, 40, 0, 88, 0, 64, 0, 0, 0, -56, 0, -64, 0, 8, 0, 248, 0, 0, 0, 48, 0, -4, 0, -120, 0, -4, 0, 0, 0, 120, 0, -32, 0, -8, 0, 48, 0, 0, 0, 64, 0, -84, 0, 16, 0, -72, 0, 0, 0, -4, 0, -76, 0, 296, 0, 56, 0, 0, 0, 72, 0, 20, 0, -280, 0, -152, 0, 0, 0, -72, 0, 88, 0, 48, 0, -156, 0, 0, 0, -8, 0, 144, 0, 122, 0, 44, 0, 0, 0, -244, 0, 40, 0, -88, 0, 80, 0, 0, 0, -116, 0, -24, 0, -20, 0, 144, 0, 0, 0, -16, 0, -16, 0, 92, 0, -76, 0, 0, 0, -192, 0, 44, 0], 'weight': 2, 'weight_parity': 1}
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source_label 17400.2.a.cd does not appear in mf_twists_nf
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hecke_orbit_code 247697979538949112 does not appear in mf_hecke_charpolys
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label 17400.2.a.cd does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 174655542
{'hecke_orbit_code': 247697979538949112, 'n': 1, 'trace_an': 3}
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id: 174655543
{'hecke_orbit_code': 247697979538949112, 'n': 2, 'trace_an': 0}
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id: 174655544
{'hecke_orbit_code': 247697979538949112, 'n': 3, 'trace_an': 3}
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id: 174655545
{'hecke_orbit_code': 247697979538949112, 'n': 4, 'trace_an': 0}
-
id: 174655546
{'hecke_orbit_code': 247697979538949112, 'n': 5, 'trace_an': 0}
-
id: 174655547
{'hecke_orbit_code': 247697979538949112, 'n': 6, 'trace_an': 0}
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id: 174655548
{'hecke_orbit_code': 247697979538949112, 'n': 7, 'trace_an': -1}
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id: 174655549
{'hecke_orbit_code': 247697979538949112, 'n': 8, 'trace_an': 0}
-
id: 174655550
{'hecke_orbit_code': 247697979538949112, 'n': 9, 'trace_an': 3}
-
id: 174655551
{'hecke_orbit_code': 247697979538949112, 'n': 10, 'trace_an': 0}
-
id: 174655552
{'hecke_orbit_code': 247697979538949112, 'n': 11, 'trace_an': 1}
-
id: 174655553
{'hecke_orbit_code': 247697979538949112, 'n': 12, 'trace_an': 0}
-
id: 174655554
{'hecke_orbit_code': 247697979538949112, 'n': 13, 'trace_an': -1}
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id: 174655555
{'hecke_orbit_code': 247697979538949112, 'n': 14, 'trace_an': 0}
-
id: 174655556
{'hecke_orbit_code': 247697979538949112, 'n': 15, 'trace_an': 0}
-
id: 174655557
{'hecke_orbit_code': 247697979538949112, 'n': 16, 'trace_an': 0}
-
id: 174655558
{'hecke_orbit_code': 247697979538949112, 'n': 17, 'trace_an': 3}
-
id: 174655559
{'hecke_orbit_code': 247697979538949112, 'n': 18, 'trace_an': 0}
-
id: 174655560
{'hecke_orbit_code': 247697979538949112, 'n': 19, 'trace_an': 8}
-
id: 174655561
{'hecke_orbit_code': 247697979538949112, 'n': 20, 'trace_an': 0}
-
id: 174655562
{'hecke_orbit_code': 247697979538949112, 'n': 21, 'trace_an': -1}
-
id: 174655563
{'hecke_orbit_code': 247697979538949112, 'n': 22, 'trace_an': 0}
-
id: 174655564
{'hecke_orbit_code': 247697979538949112, 'n': 23, 'trace_an': 6}
-
id: 174655565
{'hecke_orbit_code': 247697979538949112, 'n': 24, 'trace_an': 0}
-
id: 174655566
{'hecke_orbit_code': 247697979538949112, 'n': 25, 'trace_an': 0}
-
id: 174655567
{'hecke_orbit_code': 247697979538949112, 'n': 26, 'trace_an': 0}
-
id: 174655568
{'hecke_orbit_code': 247697979538949112, 'n': 27, 'trace_an': 3}
-
id: 174655569
{'hecke_orbit_code': 247697979538949112, 'n': 28, 'trace_an': 0}
-
id: 174655570
{'hecke_orbit_code': 247697979538949112, 'n': 29, 'trace_an': 3}
-
id: 174655571
{'hecke_orbit_code': 247697979538949112, 'n': 30, 'trace_an': 0}
-
id: 174655572
{'hecke_orbit_code': 247697979538949112, 'n': 31, 'trace_an': 10}
-
id: 174655573
{'hecke_orbit_code': 247697979538949112, 'n': 32, 'trace_an': 0}
-
id: 174655574
{'hecke_orbit_code': 247697979538949112, 'n': 33, 'trace_an': 1}
-
id: 174655575
{'hecke_orbit_code': 247697979538949112, 'n': 34, 'trace_an': 0}
-
id: 174655576
{'hecke_orbit_code': 247697979538949112, 'n': 35, 'trace_an': 0}
-
id: 174655577
{'hecke_orbit_code': 247697979538949112, 'n': 36, 'trace_an': 0}
-
id: 174655578
{'hecke_orbit_code': 247697979538949112, 'n': 37, 'trace_an': 4}
-
id: 174655579
{'hecke_orbit_code': 247697979538949112, 'n': 38, 'trace_an': 0}
-
id: 174655580
{'hecke_orbit_code': 247697979538949112, 'n': 39, 'trace_an': -1}
-
id: 174655581
{'hecke_orbit_code': 247697979538949112, 'n': 40, 'trace_an': 0}
-
id: 174655582
{'hecke_orbit_code': 247697979538949112, 'n': 41, 'trace_an': -14}
-
id: 174655583
{'hecke_orbit_code': 247697979538949112, 'n': 42, 'trace_an': 0}
-
id: 174655584
{'hecke_orbit_code': 247697979538949112, 'n': 43, 'trace_an': 4}
-
id: 174655585
{'hecke_orbit_code': 247697979538949112, 'n': 44, 'trace_an': 0}
-
id: 174655586
{'hecke_orbit_code': 247697979538949112, 'n': 45, 'trace_an': 0}
-
id: 174655587
{'hecke_orbit_code': 247697979538949112, 'n': 46, 'trace_an': 0}
-
id: 174655588
{'hecke_orbit_code': 247697979538949112, 'n': 47, 'trace_an': 1}
-
id: 174655589
{'hecke_orbit_code': 247697979538949112, 'n': 48, 'trace_an': 0}
-
id: 174655590
{'hecke_orbit_code': 247697979538949112, 'n': 49, 'trace_an': -8}
-
id: 174655591
{'hecke_orbit_code': 247697979538949112, 'n': 50, 'trace_an': 0}
-
id: 174655592
{'hecke_orbit_code': 247697979538949112, 'n': 51, 'trace_an': 3}
-
id: 174655593
{'hecke_orbit_code': 247697979538949112, 'n': 52, 'trace_an': 0}
-
id: 174655594
{'hecke_orbit_code': 247697979538949112, 'n': 53, 'trace_an': 6}
-
id: 174655595
{'hecke_orbit_code': 247697979538949112, 'n': 54, 'trace_an': 0}
-
id: 174655596
{'hecke_orbit_code': 247697979538949112, 'n': 55, 'trace_an': 0}
-
id: 174655597
{'hecke_orbit_code': 247697979538949112, 'n': 56, 'trace_an': 0}
-
id: 174655598
{'hecke_orbit_code': 247697979538949112, 'n': 57, 'trace_an': 8}
-
id: 174655599
{'hecke_orbit_code': 247697979538949112, 'n': 58, 'trace_an': 0}
-
id: 174655600
{'hecke_orbit_code': 247697979538949112, 'n': 59, 'trace_an': 10}
-
id: 174655601
{'hecke_orbit_code': 247697979538949112, 'n': 60, 'trace_an': 0}
-
id: 174655602
{'hecke_orbit_code': 247697979538949112, 'n': 61, 'trace_an': 12}
-
id: 174655603
{'hecke_orbit_code': 247697979538949112, 'n': 62, 'trace_an': 0}
-
id: 174655604
{'hecke_orbit_code': 247697979538949112, 'n': 63, 'trace_an': -1}
-
id: 174655605
{'hecke_orbit_code': 247697979538949112, 'n': 64, 'trace_an': 0}
-
id: 174655606
{'hecke_orbit_code': 247697979538949112, 'n': 65, 'trace_an': 0}
-
id: 174655607
{'hecke_orbit_code': 247697979538949112, 'n': 66, 'trace_an': 0}
-
id: 174655608
{'hecke_orbit_code': 247697979538949112, 'n': 67, 'trace_an': -19}
-
id: 174655609
{'hecke_orbit_code': 247697979538949112, 'n': 68, 'trace_an': 0}
-
id: 174655610
{'hecke_orbit_code': 247697979538949112, 'n': 69, 'trace_an': 6}
-
id: 174655611
{'hecke_orbit_code': 247697979538949112, 'n': 70, 'trace_an': 0}
-
id: 174655612
{'hecke_orbit_code': 247697979538949112, 'n': 71, 'trace_an': 4}
-
id: 174655613
{'hecke_orbit_code': 247697979538949112, 'n': 72, 'trace_an': 0}
-
id: 174655614
{'hecke_orbit_code': 247697979538949112, 'n': 73, 'trace_an': -8}
-
id: 174655615
{'hecke_orbit_code': 247697979538949112, 'n': 74, 'trace_an': 0}
-
id: 174655616
{'hecke_orbit_code': 247697979538949112, 'n': 75, 'trace_an': 0}
-
id: 174655617
{'hecke_orbit_code': 247697979538949112, 'n': 76, 'trace_an': 0}
-
id: 174655618
{'hecke_orbit_code': 247697979538949112, 'n': 77, 'trace_an': -13}
-
id: 174655619
{'hecke_orbit_code': 247697979538949112, 'n': 78, 'trace_an': 0}
-
id: 174655620
{'hecke_orbit_code': 247697979538949112, 'n': 79, 'trace_an': 16}
-
id: 174655621
{'hecke_orbit_code': 247697979538949112, 'n': 80, 'trace_an': 0}
-
id: 174655622
{'hecke_orbit_code': 247697979538949112, 'n': 81, 'trace_an': 3}
-
id: 174655623
{'hecke_orbit_code': 247697979538949112, 'n': 82, 'trace_an': 0}
-
id: 174655624
{'hecke_orbit_code': 247697979538949112, 'n': 83, 'trace_an': -4}
-
id: 174655625
{'hecke_orbit_code': 247697979538949112, 'n': 84, 'trace_an': 0}
-
id: 174655626
{'hecke_orbit_code': 247697979538949112, 'n': 85, 'trace_an': 0}
-
id: 174655627
{'hecke_orbit_code': 247697979538949112, 'n': 86, 'trace_an': 0}
-
id: 174655628
{'hecke_orbit_code': 247697979538949112, 'n': 87, 'trace_an': 3}
-
id: 174655629
{'hecke_orbit_code': 247697979538949112, 'n': 88, 'trace_an': 0}
-
id: 174655630
{'hecke_orbit_code': 247697979538949112, 'n': 89, 'trace_an': 7}
-
id: 174655631
{'hecke_orbit_code': 247697979538949112, 'n': 90, 'trace_an': 0}
-
id: 174655632
{'hecke_orbit_code': 247697979538949112, 'n': 91, 'trace_an': 23}
-
id: 174655633
{'hecke_orbit_code': 247697979538949112, 'n': 92, 'trace_an': 0}
-
id: 174655634
{'hecke_orbit_code': 247697979538949112, 'n': 93, 'trace_an': 10}
-
id: 174655635
{'hecke_orbit_code': 247697979538949112, 'n': 94, 'trace_an': 0}
-
id: 174655636
{'hecke_orbit_code': 247697979538949112, 'n': 95, 'trace_an': 0}
-
id: 174655637
{'hecke_orbit_code': 247697979538949112, 'n': 96, 'trace_an': 0}
-
id: 174655638
{'hecke_orbit_code': 247697979538949112, 'n': 97, 'trace_an': 30}
-
id: 174655639
{'hecke_orbit_code': 247697979538949112, 'n': 98, 'trace_an': 0}
-
id: 174655640
{'hecke_orbit_code': 247697979538949112, 'n': 99, 'trace_an': 1}
-
id: 174655641
{'hecke_orbit_code': 247697979538949112, 'n': 100, 'trace_an': 0}