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mf_newforms • Show schema
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{'Nk2': 1480, 'analytic_conductor': 2.9544648747873743, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 185, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 12, 'char_parity': 1, 'char_values': [370, 12, [297, 261], [3, 5]], 'cm_discs': [], 'conrey_index': 97, 'conrey_indexes': [97, 103, 267, 273], 'dim': 12, 'field_disc': 389967073837056, 'field_disc_factorization': [[2, 16], [3, 6], [2857, 2]], 'field_poly': [4, -24, 36, -16, 92, 32, 56, 44, 6, 0, -4, -2, 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': [[3, [729, 1458, 2511, 2340, 886, 522, 351, -96, -10, 6, -9, 0, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511898427294066, 'hecke_ring_generator_nbound': 7, '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, 185, 16, 1, 12, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '370.2.q.d', 'level': 370, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 5, 37], 'level_radical': 370, 'minimal_twist': '370.2.q.d', 'prim_orbit_index': 16, 'qexp_display': 'q+(-1-\\beta _{7})q^{2}+(1-\\beta _{1}-\\beta _{3}+2\\beta _{4}+\\cdots)q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c12', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '370.2.q', 'trace_display': [-6, 0, 2, -4], 'trace_hash': 94788101296321577, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.016', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.020', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '400.428', 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mf_hecke_cc • Show schema
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'conrey_index': 103, 'dual_conrey_index': 97, 'dual_embedding_index': 2, 'dual_embedding_m': 2, 'embedding_index': 2, 'embedding_m': 5, 'embedding_root_imag': -0.746608636616062, 'embedding_root_real': 2.7863813652208727, 'hecke_orbit': 4, 'hecke_orbit_code': 13511898427294066, 'label': '370.2.q.d.103.2', 'level': 370, 'weight': 2}
-
mf_newspaces • Show schema
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{'Nk2': 1480, 'analytic_conductor': 2.9544648747873743, 'char_conductor': 185, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 12, 'char_parity': 1, 'char_values': [370, 12, [297, 261], [3, 5]], 'conrey_index': 97, 'cusp_dim': 212, 'dim': 76, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 1099545182578, 'hecke_orbit_dims': [4, 4, 8, 12, 16, 32], 'label': '370.2.q', 'level': 370, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 5, 37], 'level_radical': 370, 'mf_dim': 244, 'mf_new_dim': 76, 'num_forms': 6, 'prim_orbit_index': 16, 'relative_dim': 19, 'sturm_bound': 114, 'trace_bound': 3, 'trace_display': [2, 4, 6, 0], 'traces': [76, 2, 4, -38, 6, 0, 0, -4, 0, -2, 0, 4, 8, 8, 8, -38, 0, 0, -12, 0, 0, 0, 8, 0, 2, 8, 64, 0, -18, -24, 16, 2, 12, 0, -16, 0, 14, 0, -64, -14, -18, -84, -16, -12, 8, 0, 8, -8, 72, -20, 0, 8, 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56, 112, 34, 24, -144, 570, 112, 704, -24, 126, 336, -84, -192, 376, 264, 176, 0, -320, -36, -496, 32, -256, 120, -60, 32, -864, 48, -276, -104, 192, -208, 96, 144, -90, -196, 108, -56, 560, -304, 96, 8, 0, 8, 464, -42, 206, 480, -180, 132, 360, 30, 408, 224, 88, -408, 184, 26, -16, -32, -112, 56, -90, -72, -28, 16, -268, -254, -504, -8, -432, -212, -264, -20, 0, 344, 84, -16, 228, 264, 368, 52], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
Hide schema
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id: 43574714
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 103, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511898427294066, 'source_is_minimal': True, 'source_label': '370.2.q.d.103.2', 'source_level': 370, 'target_conrey_index': 103, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511898427294066, 'target_is_minimal': True, 'target_label': '370.2.q.d.103.2', 'target_level': 370, 'twist_class_label': '370.2.q.d.97.2', 'twist_class_level': 370, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43574715
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 103, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511898427294066, 'source_is_minimal': True, 'source_label': '370.2.q.d.103.2', 'source_level': 370, 'target_conrey_index': 177, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511967146770802, 'target_is_minimal': True, 'target_label': '370.2.r.d.177.2', 'target_level': 370, 'twist_class_label': '370.2.q.d.97.2', 'twist_class_level': 370, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43574716
{'conductor': 37, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 103, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511898427294066, 'source_is_minimal': True, 'source_label': '370.2.q.d.103.2', 'source_level': 370, 'target_conrey_index': 23, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511967146770802, 'target_is_minimal': True, 'target_label': '370.2.r.d.23.2', 'target_level': 370, 'twist_class_label': '370.2.q.d.97.2', 'twist_class_level': 370, 'twisting_char_label': '37.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 43574717
{'conductor': 185, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 103, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511898427294066, 'source_is_minimal': True, 'source_label': '370.2.q.d.103.2', 'source_level': 370, 'target_conrey_index': 97, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511898427294066, 'target_is_minimal': True, 'target_label': '370.2.q.d.97.2', 'target_level': 370, 'twist_class_label': '370.2.q.d.97.2', 'twist_class_level': 370, 'twisting_char_label': '185.97', 'twisting_conrey_index': 97, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 789675
{'charpoly_factorization': [[[1, 1, 1], 6]], 'hecke_orbit_code': 13511898427294066, 'p': 2}
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id: 789676
{'charpoly_factorization': [[[729, 1458, 2511, 2340, 886, 522, 351, -96, -10, 6, -9, 0, 1], 1]], 'hecke_orbit_code': 13511898427294066, 'p': 3}
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id: 789677
{'charpoly_factorization': [[[15625, -6250, 5625, -750, 750, -50, 161, -10, 30, -6, 9, -2, 1], 1]], 'hecke_orbit_code': 13511898427294066, 'p': 5}
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id: 789678
{'charpoly_factorization': [[[47524, 49704, 39336, 55928, 28544, 272, 488, -1492, -12, 36, -4, 4, 1], 1]], 'hecke_orbit_code': 13511898427294066, 'p': 7}
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id: 789679
{'charpoly_factorization': [[[324, 0, 2232, 0, 3412, 0, 1944, 0, 428, 0, 36, 0, 1], 1]], 'hecke_orbit_code': 13511898427294066, 'p': 11}
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id: 789680
{'charpoly_factorization': [[[97969, 272310, 635769, 365486, 201996, 50058, 17835, 2664, 1134, 92, 39, 0, 1], 1]], 'hecke_orbit_code': 13511898427294066, 'p': 13}
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id: 789681
{'charpoly_factorization': [[[47524, 141264, 134300, -16848, -37320, 2220, 8764, 1212, -618, -120, 38, 12, 1], 1]], 'hecke_orbit_code': 13511898427294066, 'p': 17}
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id: 789682
{'charpoly_factorization': [[[30976, 394240, 1108736, -1737856, 544896, -30592, 45472, 8704, 2064, 520, 56, 8, 1], 1]], 'hecke_orbit_code': 13511898427294066, 'p': 19}
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id: 789683
{'charpoly_factorization': [[[-74, -132, 152, 2, -26, 2, 1], 2]], 'hecke_orbit_code': 13511898427294066, 'p': 23}
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id: 789684
{'charpoly_factorization': [[[238144, -663680, 924800, -493888, 130992, -2368, 10048, -4832, 1164, -8, 8, -4, 1], 1]], 'hecke_orbit_code': 13511898427294066, 'p': 29}
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id: 789685
{'charpoly_factorization': [[[529, -3266, 10082, -4714, 1899, -3316, 5284, -3392, 1191, -170, 2, 2, 1], 1]], 'hecke_orbit_code': 13511898427294066, 'p': 31}
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id: 789686
{'charpoly_factorization': [[[2565726409, -970815398, 331726497, -78816068, 17101548, -3408958, 578829, -92134, 12492, -1556, 177, -14, 1], 1]], 'hecke_orbit_code': 13511898427294066, 'p': 37}
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id: 789687
{'charpoly_factorization': [[[1390041, -8955684, 20189241, -6160356, -1020842, 578604, 71149, -41820, 1446, 852, -23, -12, 1], 1]], 'hecke_orbit_code': 13511898427294066, 'p': 41}
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id: 789688
{'charpoly_factorization': [[[366553, -56146, -13429, 2744, -1, -22, 1], 2]], 'hecke_orbit_code': 13511898427294066, 'p': 43}
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id: 789689
{'charpoly_factorization': [[[16333351204, 2922064928, 261381248, 128720248, 95409984, 23472568, 3179656, 241040, 19656, 2876, 392, 28, 1], 1]], 'hecke_orbit_code': 13511898427294066, 'p': 47}
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id: 789690
{'charpoly_factorization': [[[24894212841, -6691091832, 398341233, -28402542, -2179782, 2695644, -136431, 13488, 1108, -910, 71, -8, 1], 1]], 'hecke_orbit_code': 13511898427294066, 'p': 53}
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id: 789691
{'charpoly_factorization': [[[1747684, -3072328, 1397084, -57096, 98448, 33628, -316, 880, -454, -140, 18, 0, 1], 1]], 'hecke_orbit_code': 13511898427294066, 'p': 59}
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id: 789692
{'charpoly_factorization': [[[898081024, -63771904, 29351552, -20379648, -4452288, 2569024, -165472, -70928, 23336, -3896, 384, -24, 1], 1]], 'hecke_orbit_code': 13511898427294066, 'p': 61}
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id: 789693
{'charpoly_factorization': [[[47924215056, -37450397952, 8733629952, -559277136, 20152152, 33910488, -1010232, -37584, 10764, -3168, 270, -18, 1], 1]], 'hecke_orbit_code': 13511898427294066, 'p': 67}
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id: 789694
{'charpoly_factorization': [[[165408143616, -1639830528, 9100397568, -124680960, 376323328, -3445248, 6046432, 84288, 70080, 528, 304, 0, 1], 1]], 'hecke_orbit_code': 13511898427294066, 'p': 71}
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id: 789695
{'charpoly_factorization': [[[573985764, -939249432, 768476808, -227984328, 16234812, 12809808, 2579760, 136884, 8800, 2096, 392, 28, 1], 1]], 'hecke_orbit_code': 13511898427294066, 'p': 73}
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id: 789696
{'charpoly_factorization': [[[4859205264, -12383486784, 4256461296, 5698867440, 1948791616, 395926736, 58358264, 6378528, 540932, 35004, 1676, 56, 1], 1]], 'hecke_orbit_code': 13511898427294066, 'p': 79}
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id: 789697
{'charpoly_factorization': [[[6754209856, -3599659200, 990054432, -344379232, 70785536, -6604240, 1555448, 351608, 12960, 420, -142, -14, 1], 1]], 'hecke_orbit_code': 13511898427294066, 'p': 83}
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id: 789698
{'charpoly_factorization': [[[2304384016, -2266556864, 3109631120, -1224279856, 242569944, -30008632, 1663312, 110272, -11544, -56, -94, 2, 1], 1]], 'hecke_orbit_code': 13511898427294066, 'p': 89}
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id: 789699
{'charpoly_factorization': [[[234403159104, 0, 33266170752, 0, 1216107376, 0, 19653664, 0, 159852, 0, 640, 0, 1], 1]], 'hecke_orbit_code': 13511898427294066, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 17, 'hecke_orbit': 4, 'label': '370.2.q.d', 'level': 370, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 144945000
{'hecke_orbit_code': 13511898427294066, 'n': 1, 'trace_an': 12}
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id: 144945001
{'hecke_orbit_code': 13511898427294066, 'n': 2, 'trace_an': -6}
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id: 144945002
{'hecke_orbit_code': 13511898427294066, 'n': 3, 'trace_an': 0}
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id: 144945003
{'hecke_orbit_code': 13511898427294066, 'n': 4, 'trace_an': -6}
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id: 144945004
{'hecke_orbit_code': 13511898427294066, 'n': 5, 'trace_an': 2}
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id: 144945005
{'hecke_orbit_code': 13511898427294066, 'n': 6, 'trace_an': 6}
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id: 144945006
{'hecke_orbit_code': 13511898427294066, 'n': 7, 'trace_an': -4}
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id: 144945007
{'hecke_orbit_code': 13511898427294066, 'n': 8, 'trace_an': 12}
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id: 144945008
{'hecke_orbit_code': 13511898427294066, 'n': 9, 'trace_an': 18}
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id: 144945009
{'hecke_orbit_code': 13511898427294066, 'n': 10, 'trace_an': -4}
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id: 144945010
{'hecke_orbit_code': 13511898427294066, 'n': 11, 'trace_an': 0}
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id: 144945011
{'hecke_orbit_code': 13511898427294066, 'n': 12, 'trace_an': -6}
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id: 144945012
{'hecke_orbit_code': 13511898427294066, 'n': 13, 'trace_an': 0}
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id: 144945013
{'hecke_orbit_code': 13511898427294066, 'n': 14, 'trace_an': 8}
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id: 144945014
{'hecke_orbit_code': 13511898427294066, 'n': 15, 'trace_an': -10}
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id: 144945015
{'hecke_orbit_code': 13511898427294066, 'n': 16, 'trace_an': -6}
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id: 144945016
{'hecke_orbit_code': 13511898427294066, 'n': 17, 'trace_an': -12}
-
id: 144945017
{'hecke_orbit_code': 13511898427294066, 'n': 18, 'trace_an': -18}
-
id: 144945018
{'hecke_orbit_code': 13511898427294066, 'n': 19, 'trace_an': -8}
-
id: 144945019
{'hecke_orbit_code': 13511898427294066, 'n': 20, 'trace_an': 2}
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id: 144945020
{'hecke_orbit_code': 13511898427294066, 'n': 21, 'trace_an': 54}
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id: 144945021
{'hecke_orbit_code': 13511898427294066, 'n': 22, 'trace_an': -6}
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id: 144945022
{'hecke_orbit_code': 13511898427294066, 'n': 23, 'trace_an': -4}
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id: 144945023
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id: 144945977
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id: 144945978
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id: 144945979
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id: 144945980
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id: 144945981
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id: 144945982
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id: 144945983
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id: 144945984
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id: 144945985
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id: 144945986
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id: 144945987
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id: 144945988
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id: 144945989
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id: 144945990
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id: 144945991
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id: 144945992
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id: 144945993
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id: 144945994
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id: 144945995
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id: 144945996
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id: 144945997
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id: 144945998
{'hecke_orbit_code': 13511898427294066, 'n': 999, 'trace_an': 206}
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id: 144945999
{'hecke_orbit_code': 13511898427294066, 'n': 1000, 'trace_an': -28}