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mf_newforms • Show schema
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{'Nk2': 2088, 'analytic_conductor': 4.168190985510836, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 29, 'char_degree': 6, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 7, 'char_parity': 1, 'char_values': [522, 7, [407, 379], [7, 3]], 'cm_discs': [], 'conrey_index': 181, 'dim': 12, 'field_disc': 9219531410228881, 'field_disc_factorization': [[7, 10], [29, 2], [197, 2]], 'field_poly': [4096, 3072, 3328, 576, -80, -140, 197, 35, -5, -9, 13, -3, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [841, 203, 2843, -2366, -202, 119, 848, 49, 29, 35, 8, 0, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525884619915786, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 29, 4, 1, 7, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '522.2.k.h', 'level': 522, '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, 29], 'level_radical': 174, 'minimal_twist': '58.2.d.b', 'prim_orbit_index': 4, 'qexp_display': 'q-\\beta _{2}q^{2}+\\beta _{6}q^{4}+(-1+\\beta _{1}-\\beta _{2}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c7', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '522.2.k', 'trace_display': [2, 0, 0, 1], 'trace_hash': 1189238084120855861, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.071', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.675', 'prec': 20}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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{'an_normalized': [[1.0, 0.0], [0.1573460613564738, -0.6893781378718103], [0.0, 0.0], [-0.4504844339512096, -0.21694186955877906], [0.35264073212202623, -1.5450199970196599], [0.0, 0.0], [1.40926513843627, -0.6786663218411858], [-0.2204369334474837, 0.2764191714991376], [0.0, 0.0], [-1.0096163782468588, -0.48620562249606875], [0.34623090075391283, 0.43415981721863867], [0.0, 0.0], [0.5807782342273626, 0.7282728706988925], [-0.24611540624725453, -1.0783020496198505], [0.0, 0.0], [0.15587245046468337, 0.19545787061700745], [-0.8539139428902923, 0.0], [0.0, 0.0], [-0.5633435220197038, -0.2712919418743295], [-0.49403868725727534, 0.6195049190915719], [0.0, 0.0], [0.353778354886483, -0.17037067639681266], [-0.14173468080748108, -0.6209802106552483], [0.0, 0.0], [-1.3617624373366517, -0.6557902266668092], [0.5934385631422033, -0.2857849498308941], [0.0, 0.0], [-0.7820831488424429, 0.0], [-0.023652380133212178, 0.9997202433251184], [0.0, 0.0], [-0.03531806593643189, 0.15473855728317845], 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mf_newspaces • Show schema
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{'Nk2': 2088, 'analytic_conductor': 4.168190985510836, 'char_conductor': 29, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 7, 'char_parity': 1, 'char_values': [522, 7, [407, 379], [7, 3]], 'conrey_index': 181, 'cusp_dim': 492, 'dim': 78, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 687228322314, 'hecke_orbit_dims': [6, 6, 6, 6, 6, 12, 12, 12, 12], 'label': '522.2.k', 'level': 522, '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, 29], 'level_radical': 174, 'mf_dim': 588, 'mf_new_dim': 78, 'num_forms': 9, 'prim_orbit_index': 4, 'relative_dim': 13, 'sturm_bound': 180, 'trace_bound': 5, 'trace_display': [-1, 0, 0, 4], 'traces': [78, -1, 0, -13, 0, 0, 4, -1, 0, 2, 8, 0, -24, 0, 0, -13, 2, 0, 4, 7, 0, 12, -32, 0, 1, 11, 0, 4, 25, 0, 36, -1, 0, 27, 36, 0, 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-432, -128, 0, 9, 120, 0, -178], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46344835
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525884619915786, 'source_is_minimal': False, 'source_label': '522.2.k.h.199.2', 'source_level': 522, 'target_conrey_index': 199, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525884619915786, 'target_is_minimal': False, 'target_label': '522.2.k.h.199.2', 'target_level': 522, 'twist_class_label': '58.2.d.b.7.1', 'twist_class_level': 58, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46344836
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525884619915786, 'source_is_minimal': False, 'source_label': '522.2.k.h.199.2', 'source_level': 522, 'target_conrey_index': 25, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503805819355194, 'target_is_minimal': True, 'target_label': '58.2.d.b.25.1', 'target_level': 58, 'twist_class_label': '58.2.d.b.7.1', 'twist_class_level': 58, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46344837
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525884619915786, 'source_is_minimal': False, 'source_label': '522.2.k.h.199.2', 'source_level': 522, 'target_conrey_index': 257, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31526571814683088, 'target_is_minimal': False, 'target_label': '464.2.u.h.257.2', 'target_level': 464, 'twist_class_label': '58.2.d.b.7.1', 'twist_class_level': 58, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46344838
{'conductor': 29, 'degree': 6, 'order': 7, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525884619915786, 'source_is_minimal': False, 'source_label': '522.2.k.h.199.2', 'source_level': 522, 'target_conrey_index': 181, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525884619915786, 'target_is_minimal': False, 'target_label': '522.2.k.h.181.2', 'target_level': 522, 'twist_class_label': '58.2.d.b.7.1', 'twist_class_level': 58, 'twisting_char_label': '29.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 46344839
{'conductor': 87, 'degree': 12, 'order': 28, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525884619915786, 'source_is_minimal': False, 'source_label': '522.2.k.h.199.2', 'source_level': 522, 'target_conrey_index': 1681, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36028865771996818, 'target_is_minimal': False, 'target_label': '1682.2.b.i.1681.2', 'target_level': 1682, 'twist_class_label': '58.2.d.b.7.1', 'twist_class_level': 58, 'twisting_char_label': '87.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 46344840
{'conductor': 87, 'degree': 6, 'order': 14, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525884619915786, 'source_is_minimal': False, 'source_label': '522.2.k.h.199.2', 'source_level': 522, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 85568392953595538, 'target_is_minimal': False, 'target_label': '1682.2.a.t.1.5', 'target_level': 1682, 'twist_class_label': '58.2.d.b.7.1', 'twist_class_level': 58, 'twisting_char_label': '87.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 46344841
{'conductor': 87, 'degree': 6, 'order': 14, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525884619915786, 'source_is_minimal': False, 'source_label': '522.2.k.h.199.2', 'source_level': 522, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 72057594071484050, 'target_is_minimal': False, 'target_label': '1682.2.a.q.1.2', 'target_level': 1682, 'twist_class_label': '58.2.d.b.7.1', 'twist_class_level': 58, 'twisting_char_label': '87.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 46344842
{'conductor': 87, 'degree': 12, 'order': 28, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525884619915786, 'source_is_minimal': False, 'source_label': '522.2.k.h.199.2', 'source_level': 522, 'target_conrey_index': 1681, 'target_dim': 12, 'target_embedding_index': 11, 'target_hecke_orbit_code': 36028865771996818, 'target_is_minimal': False, 'target_label': '1682.2.b.i.1681.11', 'target_level': 1682, 'twist_class_label': '58.2.d.b.7.1', 'twist_class_level': 58, 'twisting_char_label': '87.44', 'twisting_conrey_index': 44, 'weight': 2}
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id: 46344843
{'conductor': 87, 'degree': 6, 'order': 14, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525884619915786, 'source_is_minimal': False, 'source_label': '522.2.k.h.199.2', 'source_level': 522, 'target_conrey_index': 7, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503805819355194, 'target_is_minimal': True, 'target_label': '58.2.d.b.7.1', 'target_level': 58, 'twist_class_label': '58.2.d.b.7.1', 'twist_class_level': 58, 'twisting_char_label': '87.65', 'twisting_conrey_index': 65, 'weight': 2}
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id: 46344844
{'conductor': 348, 'degree': 6, 'order': 14, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525884619915786, 'source_is_minimal': False, 'source_label': '522.2.k.h.199.2', 'source_level': 522, 'target_conrey_index': 65, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31526571814683088, 'target_is_minimal': False, 'target_label': '464.2.u.h.65.2', 'target_level': 464, 'twist_class_label': '58.2.d.b.7.1', 'twist_class_level': 58, 'twisting_char_label': '348.239', 'twisting_conrey_index': 239, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 999550
{'charpoly_factorization': [[[1, -1, 1, -1, 1, -1, 1], 2]], 'hecke_orbit_code': 31525884619915786, 'p': 2}
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id: 999551
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 31525884619915786, 'p': 3}
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id: 999552
{'charpoly_factorization': [[[841, 203, 2843, -2366, -202, 119, 848, 49, 29, 35, 8, 0, 1], 1]], 'hecke_orbit_code': 31525884619915786, 'p': 5}
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id: 999553
{'charpoly_factorization': [[[4096, 2048, 15616, -3712, 6624, 560, 169, 231, 165, -5, -11, -1, 1], 1]], 'hecke_orbit_code': 31525884619915786, 'p': 7}
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id: 999554
{'charpoly_factorization': [[[4096, 8192, 2560, -4160, 1856, -28, 1177, -1148, 561, -124, 40, -2, 1], 1]], 'hecke_orbit_code': 31525884619915786, 'p': 11}
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id: 999555
{'charpoly_factorization': [[[49, -49, 3724, 12726, 10969, -5173, 3200, -1765, 673, -106, 8, -1, 1], 1]], 'hecke_orbit_code': 31525884619915786, 'p': 13}
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id: 999556
{'charpoly_factorization': [[[-1259, -1034, 838, 224, -53, -6, 1], 2]], 'hecke_orbit_code': 31525884619915786, 'p': 17}
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id: 999557
{'charpoly_factorization': [[[12845056, 1605632, 602112, 1222144, 502208, 102088, 47937, 9596, 1394, 286, 57, 6, 1], 1]], 'hecke_orbit_code': 31525884619915786, 'p': 19}
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id: 999558
{'charpoly_factorization': [[[7573504, 6780928, 14144512, 5126912, 2328272, 848848, 324409, 118328, 31056, 5257, 562, 35, 1], 1]], 'hecke_orbit_code': 31525884619915786, 'p': 23}
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id: 999559
{'charpoly_factorization': [[[594823321, -287156086, 50216951, -3073014, -646729, 447412, -123395, 15428, -769, -126, 71, -14, 1], 1]], 'hecke_orbit_code': 31525884619915786, 'p': 29}
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id: 999560
{'charpoly_factorization': [[[3444736, 2553856, 5052416, 829952, 199888, -391696, 96537, -1409, 1630, 109, 20, 8, 1], 1]], 'hecke_orbit_code': 31525884619915786, 'p': 31}
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id: 999561
{'charpoly_factorization': [[[68442529, -72322566, 51481468, -32560099, 15951065, -5383623, 1345226, -260981, 41568, -5308, 503, -31, 1], 1]], 'hecke_orbit_code': 31525884619915786, 'p': 37}
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id: 999562
{'charpoly_factorization': [[[-9653, 11417, -4767, 729, 19, -15, 1], 2]], 'hecke_orbit_code': 31525884619915786, 'p': 41}
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id: 999563
{'charpoly_factorization': [[[4096, -6144, 9728, -1024, 6448, 1176, 2241, 175, 169, -75, -9, 5, 1], 1]], 'hecke_orbit_code': 31525884619915786, 'p': 43}
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id: 999564
{'charpoly_factorization': [[[7573504, -264192, 6778880, -4058624, 961616, -623568, 487361, -162051, 36349, -5505, 549, -33, 1], 1]], 'hecke_orbit_code': 31525884619915786, 'p': 47}
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id: 999565
{'charpoly_factorization': [[[35724529, -39573717, 28432817, -1196537, 344952, 42056, -7321, -2548, 1784, 498, 126, 13, 1], 1]], 'hecke_orbit_code': 31525884619915786, 'p': 53}
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id: 999566
{'charpoly_factorization': [[[-3584, -5824, -2800, -335, 76, 19, 1], 2]], 'hecke_orbit_code': 31525884619915786, 'p': 59}
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id: 999567
{'charpoly_factorization': [[[97160449, 182896635, 160729838, 79314434, 22776633, 3682981, 543368, 87865, 10169, 864, 150, 5, 1], 1]], 'hecke_orbit_code': 31525884619915786, 'p': 61}
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id: 999568
{'charpoly_factorization': [[[4096, 43008, 276992, 397824, 479728, 318920, 113289, 21847, 3005, 399, 53, 7, 1], 1]], 'hecke_orbit_code': 31525884619915786, 'p': 67}
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id: 999569
{'charpoly_factorization': [[[3720024064, -1349630976, 1022100736, -180587712, 47767376, -4345500, 435813, -169515, 26449, 1389, -79, 3, 1], 1]], 'hecke_orbit_code': 31525884619915786, 'p': 71}
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id: 999570
{'charpoly_factorization': [[[490724067289, -60768448716, 12007195135, 4947485694, 538277309, 52734006, 9079511, 987194, 103431, 8180, 461, 22, 1], 1]], 'hecke_orbit_code': 31525884619915786, 'p': 73}
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id: 999571
{'charpoly_factorization': [[[113844158464, 87499341824, 35339599872, 10716024832, 2714796032, 534085888, 78957376, 8711808, 721296, 44560, 2008, 60, 1], 1]], 'hecke_orbit_code': 31525884619915786, 'p': 79}
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id: 999572
{'charpoly_factorization': [[[200704, 7777280, 93916928, 34454336, 17586352, -971796, 1568841, -245982, 49592, -7911, 758, -39, 1], 1]], 'hecke_orbit_code': 31525884619915786, 'p': 83}
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id: 999573
{'charpoly_factorization': [[[126405049, -165362044, 169439994, -74697537, 37966023, -5035681, 1898338, -240485, -19416, 3484, 643, 39, 1], 1]], 'hecke_orbit_code': 31525884619915786, 'p': 89}
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id: 999574
{'charpoly_factorization': [[[36316162624, 38247759872, 18568809504, 5325196800, 990759084, 125467104, 12067609, 1059761, 89721, 6439, 515, 19, 1], 1]], 'hecke_orbit_code': 31525884619915786, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 11, 'hecke_orbit': 8, 'label': '522.2.k.h', 'level': 522, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
Showing the first 100 of 258 matching records in this table.
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id: 50108221
{'hecke_orbit_code': 31525884619915786, 'n': 1, 'trace_an': 12}
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id: 50108222
{'hecke_orbit_code': 31525884619915786, 'n': 2, 'trace_an': 2}
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id: 50108223
{'hecke_orbit_code': 31525884619915786, 'n': 3, 'trace_an': 0}
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id: 50108224
{'hecke_orbit_code': 31525884619915786, 'n': 4, 'trace_an': -2}
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id: 50108225
{'hecke_orbit_code': 31525884619915786, 'n': 5, 'trace_an': 0}
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id: 50108226
{'hecke_orbit_code': 31525884619915786, 'n': 6, 'trace_an': 0}
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id: 50108227
{'hecke_orbit_code': 31525884619915786, 'n': 7, 'trace_an': 1}
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id: 50108228
{'hecke_orbit_code': 31525884619915786, 'n': 8, 'trace_an': 2}
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id: 50108229
{'hecke_orbit_code': 31525884619915786, 'n': 9, 'trace_an': 0}
-
id: 50108230
{'hecke_orbit_code': 31525884619915786, 'n': 10, 'trace_an': -7}
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id: 50108231
{'hecke_orbit_code': 31525884619915786, 'n': 11, 'trace_an': 2}
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id: 50108232
{'hecke_orbit_code': 31525884619915786, 'n': 12, 'trace_an': 0}
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id: 50108233
{'hecke_orbit_code': 31525884619915786, 'n': 13, 'trace_an': 1}
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id: 50108234
{'hecke_orbit_code': 31525884619915786, 'n': 14, 'trace_an': -1}
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id: 50108235
{'hecke_orbit_code': 31525884619915786, 'n': 15, 'trace_an': 0}
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id: 50108236
{'hecke_orbit_code': 31525884619915786, 'n': 16, 'trace_an': -2}
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id: 50108237
{'hecke_orbit_code': 31525884619915786, 'n': 17, 'trace_an': 12}
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id: 50108238
{'hecke_orbit_code': 31525884619915786, 'n': 18, 'trace_an': 0}
-
id: 50108239
{'hecke_orbit_code': 31525884619915786, 'n': 19, 'trace_an': -6}
-
id: 50108240
{'hecke_orbit_code': 31525884619915786, 'n': 20, 'trace_an': -7}
-
id: 50108241
{'hecke_orbit_code': 31525884619915786, 'n': 21, 'trace_an': 0}
-
id: 50108242
{'hecke_orbit_code': 31525884619915786, 'n': 22, 'trace_an': -2}
-
id: 50108243
{'hecke_orbit_code': 31525884619915786, 'n': 23, 'trace_an': -35}
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id: 50108244
{'hecke_orbit_code': 31525884619915786, 'n': 24, 'trace_an': 0}
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id: 50108245
{'hecke_orbit_code': 31525884619915786, 'n': 25, 'trace_an': -6}
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id: 50108246
{'hecke_orbit_code': 31525884619915786, 'n': 26, 'trace_an': -8}
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id: 50108247
{'hecke_orbit_code': 31525884619915786, 'n': 27, 'trace_an': 0}
-
id: 50108248
{'hecke_orbit_code': 31525884619915786, 'n': 28, 'trace_an': -6}
-
id: 50108249
{'hecke_orbit_code': 31525884619915786, 'n': 29, 'trace_an': 14}
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id: 50108250
{'hecke_orbit_code': 31525884619915786, 'n': 30, 'trace_an': 0}
-
id: 50108251
{'hecke_orbit_code': 31525884619915786, 'n': 31, 'trace_an': -8}
-
id: 50108252
{'hecke_orbit_code': 31525884619915786, 'n': 32, 'trace_an': 2}
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id: 50108253
{'hecke_orbit_code': 31525884619915786, 'n': 33, 'trace_an': 0}
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id: 50108254
{'hecke_orbit_code': 31525884619915786, 'n': 34, 'trace_an': -5}
-
id: 50108255
{'hecke_orbit_code': 31525884619915786, 'n': 35, 'trace_an': 18}
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id: 50108256
{'hecke_orbit_code': 31525884619915786, 'n': 36, 'trace_an': 0}
-
id: 50108257
{'hecke_orbit_code': 31525884619915786, 'n': 37, 'trace_an': 31}
-
id: 50108258
{'hecke_orbit_code': 31525884619915786, 'n': 38, 'trace_an': -1}
-
id: 50108259
{'hecke_orbit_code': 31525884619915786, 'n': 39, 'trace_an': 0}
-
id: 50108260
{'hecke_orbit_code': 31525884619915786, 'n': 40, 'trace_an': 7}
-
id: 50108261
{'hecke_orbit_code': 31525884619915786, 'n': 41, 'trace_an': 30}
-
id: 50108262
{'hecke_orbit_code': 31525884619915786, 'n': 42, 'trace_an': 0}
-
id: 50108263
{'hecke_orbit_code': 31525884619915786, 'n': 43, 'trace_an': -5}
-
id: 50108264
{'hecke_orbit_code': 31525884619915786, 'n': 44, 'trace_an': -5}
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id: 50108265
{'hecke_orbit_code': 31525884619915786, 'n': 45, 'trace_an': 0}
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id: 50108266
{'hecke_orbit_code': 31525884619915786, 'n': 46, 'trace_an': -28}
-
id: 50108267
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