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{'Nk2': 32184, 'analytic_conductor': 64.2476334663222, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [149, 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': [8046, 1, [299, 3727], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 12, 'field_disc': 6513699510086430554361, 'field_disc_factorization': [[3, 3], [7, 1], [25117, 1], [1372139131738897, 1]], 'field_poly': [-553, -224, 4805, -3333, -4461, 4323, 607, -1302, 104, 142, -23, -5, 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': 0, 'hecke_cutters': [[5, [-553, -224, 4805, -3333, -4461, 4323, 607, -1302, 104, 142, -23, -5, 1]], [11, [11955, -100248, 199929, -102673, -45816, 45905, -277, -6139, 679, 326, -49, -6, 1]]], 'hecke_orbit': 16, 'hecke_orbit_code': 67553994444119918, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '8046.2.a.p', 'level': 8046, '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, 149], 'level_radical': 894, 'minimal_twist': '8046.2.a.i', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}+\\beta _{1}q^{5}+(1-\\beta _{5})q^{7}+q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 12, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8046.2.a', 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-0.2783920869426013, -0.2039727818253057, -0.36290403267116217, -0.3249683476423884, -0.24061675652486073, -0.31528300232652273, -0.36414574409768624, -0.16205544198715754, -0.35362047748607023, -0.26564744267326423, -0.16325756519872942, -0.17243567136685434], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 2, 'dual_embedding_m': 2, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 0.0, 'embedding_root_real': -2.7847776819424648, 'hecke_orbit': 16, 'hecke_orbit_code': 67553994444119918, 'label': '8046.2.a.p.1.2', 'level': 8046, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [21, 28, 28, 21, 28, 21, 21, 28], 'Nk2': 32184, 'analytic_conductor': 64.2476334663222, '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': [8046, 1, [299, 3727], [1, 1]], 'conrey_index': 1, 'cusp_dim': 1339, 'dim': 196, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11], 'hecke_orbit_code': 33562478, 'hecke_orbit_dims': [1, 1, 2, 2, 8, 8, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 14, 14, 16, 16], 'label': '8046.2.a', 'level': 8046, '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, 149], 'level_radical': 894, 'mf_dim': 1362, 'mf_new_dim': 196, 'num_forms': 20, 'plus_dim': 84, 'prim_orbit_index': 1, 'relative_dim': 196, 'sturm_bound': 2700, 'trace_bound': 5, 'trace_display': [0, 0, 0, 8], 'traces': [196, 0, 0, 196, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 196, 0, 0, -8, 0, 0, -8, 0, 0, 172, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -8, 0, 0, -8, 0, 0, 188, 0, 0, 0, 0, 0, -32, 0, 0, -8, 0, 0, -24, 0, 0, 196, 0, 0, -40, 0, 0, -24, 0, 0, 0, 0, 0, -8, 0, 0, -16, 0, 0, -32, 0, 0, -64, 0, 0, -8, 0, 0, 8, 0, 0, 48, 0, 0, 8, 0, 0, 172, 0, 0, 40, 0, 0, 40, 0, 0, 8, 0, 0, 8, 0, 0, 64, 0, 0, 56, 0, 0, 260, 0, 0, 0, 0, 0, 64, 0, 0, -32, 0, 0, 40, 0, 0, 0, 0, 0, 64, 0, 0, 8, 0, 0, 8, 0, 0, -8, 0, 0, -48, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 32, 0, 0, 236, 0, 0, -8, 0, 0, 0, 0, 0, -16, 0, 0, 88, 0, 0, -8, 0, 0, 80, 0, 0, 104, 0, 0, 24, 0, 0, 188, 0, 0, 16, 0, 0, -40, 0, 0, 136, 0, 0, 0, 0, 0, 184, 0, 0, 56, 0, 0, 88, 0, 0, -32, 0, 0, -80, 0, 0, -48, 0, 0, -40, 0, 0, -8, 0, 0, 32, 0, 0, 112, 0, 0, -56, 0, 0, -24, 0, 0, 80, 0, 0, -48, 0, 0, -48, 0, 0, 196, 0, 0, 80, 0, 0, -80, 0, 0, 8, 0, 0, -40, 0, 0, 80, 0, 0, -40, 0, 0, 56, 0, 0, -24, 0, 0, -136, 0, 0, 96, 0, 0, 260, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 8, 0, 0, -8, 0, 0, 112, 0, 0, 88, 0, 0, 160, 0, 0, -16, 0, 0, 16, 0, 0, 32, 0, 0, 128, 0, 0, -32, 0, 0, 208, 0, 0, -96, 0, 0, 144, 0, 0, -64, 0, 0, 112, 0, 0, -24, 0, 0, -16, 0, 0, -8, 0, 0, 224, 0, 0, -24, 0, 0, 244, 0, 0, 8, 0, 0, -64, 0, 0, 32, 0, 0, 56, 0, 0, 48, 0, 0, 64, 0, 0, -72, 0, 0, 56, 0, 0, 8, 0, 0, 72, 0, 0, -80, 0, 0, -136, 0, 0, 172, 0, 0, 216, 0, 0, 72, 0, 0, 40, 0, 0, 40, 0, 0, 168, 0, 0, -40, 0, 0, 144, 0, 0, 40, 0, 0, 8, 0, 0, -176, 0, 0, -16, 0, 0, 8, 0, 0, -64, 0, 0, -112, 0, 0, 192, 0, 0, 8, 0, 0, 56, 0, 0, -152, 0, 0, -40, 0, 0, 64, 0, 0, 120, 0, 0, -80, 0, 0, 184, 0, 0, 56, 0, 0, 168, 0, 0, -8, 0, 0, -8, 0, 0, 260, 0, 0, 128, 0, 0, -152, 0, 0, 112, 0, 0, 0, 0, 0, 104, 0, 0, 32, 0, 0, 128, 0, 0, 64, 0, 0, 40, 0, 0, 0, 0, 0, 328, 0, 0, -32, 0, 0, 288, 0, 0, -72, 0, 0, 68, 0, 0, 40, 0, 0, 48, 0, 0, 8, 0, 0, -256, 0, 0, 0, 0, 0, 184, 0, 0, -192, 0, 0, 88, 0, 0, 64, 0, 0, -200, 0, 0, 56, 0, 0, 256, 0, 0, 8, 0, 0, -152, 0, 0, -80, 0, 0, 80, 0, 0, 8, 0, 0, -48, 0, 0, -80, 0, 0, -112, 0, 0, -8, 0, 0, -16, 0, 0, -48, 0, 0, 16, 0, 0, -48, 0, 0, -32, 0, 0, -48, 0, 0, -192, 0, 0, 32, 0, 0, 152, 0, 0, -64, 0, 0, 116, 0, 0, 0, 0, 0, 200, 0, 0, 72, 0, 0, -56, 0, 0, 0, 0, 0, 160, 0, 0, -40, 0, 0, 200, 0, 0, -64, 0, 0, -8, 0, 0, -16, 0, 0, -176, 0, 0, 32, 0, 0, 232, 0, 0, -200, 0, 0, -152, 0, 0, 236, 0, 0, 216, 0, 0, -64, 0, 0, -56, 0, 0, -8, 0, 0, -240, 0, 0, 136, 0, 0, -312, 0, 0, 0, 0, 0, -80, 0, 0, 64, 0, 0, -24, 0, 0, -16, 0, 0, 16, 0, 0, 64, 0, 0, -104, 0, 0, 88, 0, 0, 160, 0, 0, -112, 0, 0, 112, 0, 0, -8, 0, 0, -304, 0, 0, -88, 0, 0, 0, 0, 0, 80, 0, 0, 8, 0, 0, -248, 0, 0, -40, 0, 0, 104, 0, 0, 128, 0, 0, 112, 0, 0, 296, 0, 0, 24, 0, 0, 96, 0, 0, -56, 0, 0, -168, 0, 0, 188, 0, 0, -176, 0, 0, 24, 0, 0, 168, 0, 0, 16, 0, 0, 360, 0, 0, -32, 0, 0, 216, 0, 0, -40, 0, 0, 176, 0, 0, -40, 0, 0, -24, 0, 0, 136, 0, 0, -24, 0, 0, -56, 0, 0, 232, 0, 0, 0, 0, 0, 272, 0, 0, -160, 0, 0, 348, 0, 0, 184, 0, 0, 208, 0, 0, 208, 0, 0, -120, 0, 0, 56, 0, 0, 16, 0, 0, 232, 0, 0, -160, 0, 0, 88, 0, 0, 544, 0, 0, 176, 0, 0, 56, 0, 0, -32, 0, 0, 304, 0, 0, 32, 0, 0, 280, 0, 0, -80, 0, 0, 180, 0, 0, -12, 0, 0, -200, 0, 0, -48, 0, 0, -176, 0, 0, -4, 0, 0, 176, 0, 0, -40, 0, 0, 148, 0, 0, -40, 0, 0, -304, 0, 0, -8, 0, 0, 112, 0, 0, -152, 0, 0, 88, 0, 0, 32, 0, 0, -156, 0, 0, 104, 0, 0, -88, 0, 0, 112, 0, 0, 32, 0, 0, 196, 0, 0, 52, 0, 0, -56, 0, 0, 48, 0, 0, 96, 0, 0, 288, 0, 0, -24, 0, 0, 352, 0, 0, 104, 0, 0, -176, 0, 0, 80, 0, 0, -384, 0, 0, 156, 0, 0, 8, 0, 0, -48], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47928131
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 67553994444119918, 'source_is_minimal': True, 'source_label': '8046.2.a.p.1.2', 'source_level': 8046, 'target_conrey_index': 1, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67553994444119918, 'target_is_minimal': True, 'target_label': '8046.2.a.p.1.2', 'target_level': 8046, 'twist_class_label': '8046.2.a.i.1.11', 'twist_class_level': 8046, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47928132
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 67553994444119918, 'source_is_minimal': True, 'source_label': '8046.2.a.p.1.2', 'source_level': 8046, 'target_conrey_index': 1, 'target_dim': 12, 'target_embedding_index': 11, 'target_hecke_orbit_code': 36028797052526446, 'target_is_minimal': True, 'target_label': '8046.2.a.i.1.11', 'target_level': 8046, 'twist_class_label': '8046.2.a.i.1.11', 'twist_class_level': 8046, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4643725
{'charpoly_factorization': [[[-1, 1], 12]], 'hecke_orbit_code': 67553994444119918, 'p': 2}
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id: 4643726
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 67553994444119918, 'p': 3}
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id: 4643727
{'charpoly_factorization': [[[-553, -224, 4805, -3333, -4461, 4323, 607, -1302, 104, 142, -23, -5, 1], 1]], 'hecke_orbit_code': 67553994444119918, 'p': 5}
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id: 4643728
{'charpoly_factorization': [[[-9733, 16559, 14846, -28063, -6466, 14606, -96, -2808, 272, 220, -31, -6, 1], 1]], 'hecke_orbit_code': 67553994444119918, 'p': 7}
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id: 4643729
{'charpoly_factorization': [[[11955, -100248, 199929, -102673, -45816, 45905, -277, -6139, 679, 326, -49, -6, 1], 1]], 'hecke_orbit_code': 67553994444119918, 'p': 11}
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id: 4643730
{'charpoly_factorization': [[[-52011, 24189, 126305, -93548, -41373, 48732, -3780, -5955, 1153, 244, -63, -3, 1], 1]], 'hecke_orbit_code': 67553994444119918, 'p': 13}
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id: 4643731
{'charpoly_factorization': [[[-2500715, 6116009, -1489444, -2073763, 575339, 273320, -69328, -17359, 3809, 525, -99, -6, 1], 1]], 'hecke_orbit_code': 67553994444119918, 'p': 17}
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id: 4643732
{'charpoly_factorization': [[[-25933, -139994, 170497, 750203, -989242, 331875, 30101, -31461, 2167, 890, -99, -8, 1], 1]], 'hecke_orbit_code': 67553994444119918, 'p': 19}
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id: 4643733
{'charpoly_factorization': [[[198773, -573159, 312064, 202037, -213320, 22037, 27687, -7433, -1009, 514, -14, -11, 1], 1]], 'hecke_orbit_code': 67553994444119918, 'p': 23}
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id: 4643734
{'charpoly_factorization': [[[2060575, -8121776, 13183257, -11256081, 5248485, -1133529, -42897, 76664, -13606, -2, 261, -29, 1], 1]], 'hecke_orbit_code': 67553994444119918, 'p': 29}
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id: 4643735
{'charpoly_factorization': [[[-9, 594, 5072, 13437, 10206, -5974, -6987, 116, 1045, 53, -56, -2, 1], 1]], 'hecke_orbit_code': 67553994444119918, 'p': 31}
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id: 4643736
{'charpoly_factorization': [[[-8082289269, 4048094907, 306031761, -425122624, 26848283, 15999553, -1793330, -264534, 37541, 1920, -325, -5, 1], 1]], 'hecke_orbit_code': 67553994444119918, 'p': 37}
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id: 4643737
{'charpoly_factorization': [[[790584, 2531052, 1812984, -945823, -1074937, 106609, 162310, -14633, -8600, 1268, 78, -22, 1], 1]], 'hecke_orbit_code': 67553994444119918, 'p': 41}
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id: 4643738
{'charpoly_factorization': [[[-128007485, -202377888, -83140737, 9200505, 11139684, 646235, -547938, -51833, 13499, 1190, -176, -9, 1], 1]], 'hecke_orbit_code': 67553994444119918, 'p': 43}
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id: 4643739
{'charpoly_factorization': [[[196700481, -365353659, 218777274, -22012884, -22549353, 6122067, 492183, -272921, 6888, 3685, -202, -15, 1], 1]], 'hecke_orbit_code': 67553994444119918, 'p': 47}
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id: 4643740
{'charpoly_factorization': [[[16414009, 12246237, -12409825, -9516825, 2644199, 2237956, -141378, -150058, 9699, 2995, -235, -12, 1], 1]], 'hecke_orbit_code': 67553994444119918, 'p': 53}
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id: 4643741
{'charpoly_factorization': [[[61641315, -212371257, 291660091, -207752771, 82170322, -17053623, 1078735, 259163, -55814, 2542, 283, -34, 1], 1]], 'hecke_orbit_code': 67553994444119918, 'p': 59}
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id: 4643742
{'charpoly_factorization': [[[59168457, 46893096, -114947490, -28291910, 26872921, 1712563, -1583743, -16119, 35932, -386, -326, 4, 1], 1]], 'hecke_orbit_code': 67553994444119918, 'p': 61}
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id: 4643743
{'charpoly_factorization': [[[-347750655, 1216592514, -375428655, -833220902, 327730987, 21379531, -9816000, -200400, 110502, 782, -547, -1, 1], 1]], 'hecke_orbit_code': 67553994444119918, 'p': 67}
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id: 4643744
{'charpoly_factorization': [[[-21896973, -3749733, 28258956, -4986252, -7219935, 1784388, 479907, -127473, -8005, 2962, -37, -21, 1], 1]], 'hecke_orbit_code': 67553994444119918, 'p': 71}
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id: 4643745
{'charpoly_factorization': [[[148306725, 435428874, -227303961, -210091814, 56607972, 14929268, -4103634, -169617, 74611, 67, -478, 2, 1], 1]], 'hecke_orbit_code': 67553994444119918, 'p': 73}
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id: 4643746
{'charpoly_factorization': [[[-1339385557, 726617082, 795221960, -530517463, 251307, 35090410, -2660971, -628499, 59532, 4130, -430, -9, 1], 1]], 'hecke_orbit_code': 67553994444119918, 'p': 79}
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id: 4643747
{'charpoly_factorization': [[[1274877, -760329, -60986571, 101305799, -54684218, 8098863, 1747869, -600091, 31532, 4702, -401, -10, 1], 1]], 'hecke_orbit_code': 67553994444119918, 'p': 83}
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id: 4643748
{'charpoly_factorization': [[[204074257, -351864959, -305060837, 57020384, 50247993, -3917344, -2698908, 113946, 53329, -955, -406, 2, 1], 1]], 'hecke_orbit_code': 67553994444119918, 'p': 89}
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id: 4643749
{'charpoly_factorization': [[[297139217, -83422194, -404931191, 195122435, 35740595, -12542915, -1343639, 303577, 26016, -3252, -255, 13, 1], 1]], 'hecke_orbit_code': 67553994444119918, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 16, 'label': '8046.2.a.p', 'level': 8046, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 60868111
{'hecke_orbit_code': 67553994444119918, 'n': 1, 'trace_an': 12}
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id: 60868112
{'hecke_orbit_code': 67553994444119918, 'n': 2, 'trace_an': 12}
-
id: 60868113
{'hecke_orbit_code': 67553994444119918, 'n': 3, 'trace_an': 0}
-
id: 60868114
{'hecke_orbit_code': 67553994444119918, 'n': 4, 'trace_an': 12}
-
id: 60868115
{'hecke_orbit_code': 67553994444119918, 'n': 5, 'trace_an': 5}
-
id: 60868116
{'hecke_orbit_code': 67553994444119918, 'n': 6, 'trace_an': 0}
-
id: 60868117
{'hecke_orbit_code': 67553994444119918, 'n': 7, 'trace_an': 6}
-
id: 60868118
{'hecke_orbit_code': 67553994444119918, 'n': 8, 'trace_an': 12}
-
id: 60868119
{'hecke_orbit_code': 67553994444119918, 'n': 9, 'trace_an': 0}
-
id: 60868120
{'hecke_orbit_code': 67553994444119918, 'n': 10, 'trace_an': 5}
-
id: 60868121
{'hecke_orbit_code': 67553994444119918, 'n': 11, 'trace_an': 6}
-
id: 60868122
{'hecke_orbit_code': 67553994444119918, 'n': 12, 'trace_an': 0}
-
id: 60868123
{'hecke_orbit_code': 67553994444119918, 'n': 13, 'trace_an': 3}
-
id: 60868124
{'hecke_orbit_code': 67553994444119918, 'n': 14, 'trace_an': 6}
-
id: 60868125
{'hecke_orbit_code': 67553994444119918, 'n': 15, 'trace_an': 0}
-
id: 60868126
{'hecke_orbit_code': 67553994444119918, 'n': 16, 'trace_an': 12}
-
id: 60868127
{'hecke_orbit_code': 67553994444119918, 'n': 17, 'trace_an': 6}
-
id: 60868128
{'hecke_orbit_code': 67553994444119918, 'n': 18, 'trace_an': 0}
-
id: 60868129
{'hecke_orbit_code': 67553994444119918, 'n': 19, 'trace_an': 8}
-
id: 60868130
{'hecke_orbit_code': 67553994444119918, 'n': 20, 'trace_an': 5}
-
id: 60868131
{'hecke_orbit_code': 67553994444119918, 'n': 21, 'trace_an': 0}
-
id: 60868132
{'hecke_orbit_code': 67553994444119918, 'n': 22, 'trace_an': 6}
-
id: 60868133
{'hecke_orbit_code': 67553994444119918, 'n': 23, 'trace_an': 11}
-
id: 60868134
{'hecke_orbit_code': 67553994444119918, 'n': 24, 'trace_an': 0}
-
id: 60868135
{'hecke_orbit_code': 67553994444119918, 'n': 25, 'trace_an': 11}
-
id: 60868136
{'hecke_orbit_code': 67553994444119918, 'n': 26, 'trace_an': 3}
-
id: 60868137
{'hecke_orbit_code': 67553994444119918, 'n': 27, 'trace_an': 0}
-
id: 60868138
{'hecke_orbit_code': 67553994444119918, 'n': 28, 'trace_an': 6}
-
id: 60868139
{'hecke_orbit_code': 67553994444119918, 'n': 29, 'trace_an': 29}
-
id: 60868140
{'hecke_orbit_code': 67553994444119918, 'n': 30, 'trace_an': 0}
-
id: 60868141
{'hecke_orbit_code': 67553994444119918, 'n': 31, 'trace_an': 2}
-
id: 60868142
{'hecke_orbit_code': 67553994444119918, 'n': 32, 'trace_an': 12}
-
id: 60868143
{'hecke_orbit_code': 67553994444119918, 'n': 33, 'trace_an': 0}
-
id: 60868144
{'hecke_orbit_code': 67553994444119918, 'n': 34, 'trace_an': 6}
-
id: 60868145
{'hecke_orbit_code': 67553994444119918, 'n': 35, 'trace_an': 4}
-
id: 60868146
{'hecke_orbit_code': 67553994444119918, 'n': 36, 'trace_an': 0}
-
id: 60868147
{'hecke_orbit_code': 67553994444119918, 'n': 37, 'trace_an': 5}
-
id: 60868148
{'hecke_orbit_code': 67553994444119918, 'n': 38, 'trace_an': 8}
-
id: 60868149
{'hecke_orbit_code': 67553994444119918, 'n': 39, 'trace_an': 0}
-
id: 60868150
{'hecke_orbit_code': 67553994444119918, 'n': 40, 'trace_an': 5}
-
id: 60868151
{'hecke_orbit_code': 67553994444119918, 'n': 41, 'trace_an': 22}
-
id: 60868152
{'hecke_orbit_code': 67553994444119918, 'n': 42, 'trace_an': 0}
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id: 60868153
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id: 60868355
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id: 60868356
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id: 60868357
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id: 60868358
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id: 60868359
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id: 60868360
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id: 60868361
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id: 60868362
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id: 60868363
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id: 60868364
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id: 60868365
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id: 60868366
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id: 60868367
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id: 60868368
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