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mf_newforms • Show schema
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{'Nk2': 5352, 'analytic_conductor': 10.683983790447316, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 223, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [1338, 3, [893, 895], [3, 2]], 'cm_discs': [], 'conrey_index': 931, 'dim': 14, 'field_disc': -1918324382998952545431552, 'field_disc_factorization': [[-1, 1], [2, 12], [3, 7], [31, 4], [443, 2], [1087, 2]], 'field_poly': [64, -424, 2145, -4079, 6077, -4850, 3657, -1539, 1058, -335, 217, -26, 21, -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, [1849, -3956, 15172, 11514, 23889, 10444, 14853, 7990, 5593, 1716, 613, 98, 32, 4, 1]], [7, [223, 1330, -928, -123, 179, -20, -6, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525472303056186, 'hecke_ring_generator_nbound': 11, '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, 223, 3, 1, 3, 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': True, 'label': '1338.2.e.h', 'level': 1338, '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': True, 'level_primes': [2, 3, 223], 'level_radical': 1338, 'minimal_twist': '1338.2.e.h', 'prim_orbit_index': 3, 'qexp_display': 'q-q^{2}-\\beta _{6}q^{3}+q^{4}+(-1+\\beta _{2}+\\beta _{6}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 7, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1338.2.e', 'trace_display': [-14, -7, -4, 12], 'trace_hash': 1117451983090251303, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '12.769', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '700.614', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '81687.484', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.003', 'prec': 17}, 'traces': [14, -14, -7, 14, -4, 7, 12, -14, -7, 4, -10, -7, -4, -12, 8, 14, 8, 7, -8, -4, -6, 10, -8, 7, -13, 4, 14, 12, -6, -8, -10, -14, 20, -8, 18, -7, 15, 8, 2, 4, 24, 6, -14, -10, -4, 8, -10, -7, 54, 13, -4, -4, -9, -14, 13, -12, -8, 6, -20, 8, -20, 10, -6, 14, 7, -20, -13, 8, -8, -18, -26, 7, 7, -15, -13, -8, -13, -2, 36, -4, -7, -24, 27, -6, 27, 14, 12, 10, -33, 4, -14, -8, -10, 10, -40, 7, -19, -54, -10, -13, -17, 4, 34, 4, -36, 9, -1, 14, 10, -13, -30, 12, -24, 8, -34, -6, 2, 20, 10, -8, -9, 20, -12, -10, -54, 6, 43, -14, -14, -7, -43, 20, -56, 13, -4, -8, 26, 8, -44, 18, 20, 26, 17, -7, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 5352, 'analytic_conductor': 10.683983790447316, 'char_conductor': 223, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [1338, 3, [893, 895], [3, 2]], 'conrey_index': 931, 'cusp_dim': 440, 'dim': 76, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 274911462714, 'hecke_orbit_dims': [2, 2, 2, 4, 4, 4, 12, 14, 14, 18], 'label': '1338.2.e', 'level': 1338, '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': True, 'level_primes': [2, 3, 223], 'level_radical': 1338, 'mf_dim': 456, 'mf_new_dim': 76, 'num_forms': 10, 'prim_orbit_index': 3, 'relative_dim': 38, 'sturm_bound': 448, 'trace_bound': 3, 'trace_display': [0, 0, 0, 4], 'traces': [76, 0, 0, 76, 0, 2, 4, 0, -38, 2, -4, 0, -24, 16, -12, 76, 16, 0, -4, 0, 0, 18, 8, 2, -24, 16, 0, 4, -16, 8, 28, 0, 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-2, 132, -8, 38, 4, 24, 56, 408, -12, -108, -48, -6, -424, 4, -32, -40, 16, 196, -24, -204, -10, -96, -48, 4, 160, -212, -12, -42, 48, -4, 132, 340, -60, -204, 8, -56, -22, 52, 0, -144, 320, 32, -20, 252, 36, -96, -164, 32, -60, 40, -4, 156, 144, -80, -52, 0, 64, 14, -12, 208, 12, -232, -120, 56, -80, 36, 12], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46271569
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1075, 'source_dim': 14, 'source_embedding_index': 6, 'source_hecke_orbit_code': 31525472303056186, 'source_is_minimal': True, 'source_label': '1338.2.e.h.1075.6', 'source_level': 1338, 'target_conrey_index': 1075, 'target_dim': 14, 'target_embedding_index': 6, 'target_hecke_orbit_code': 31525472303056186, 'target_is_minimal': True, 'target_label': '1338.2.e.h.1075.6', 'target_level': 1338, 'twist_class_label': '1338.2.e.h.931.6', 'twist_class_level': 1338, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46271570
{'conductor': 223, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1075, 'source_dim': 14, 'source_embedding_index': 6, 'source_hecke_orbit_code': 31525472303056186, 'source_is_minimal': True, 'source_label': '1338.2.e.h.1075.6', 'source_level': 1338, 'target_conrey_index': 931, 'target_dim': 14, 'target_embedding_index': 6, 'target_hecke_orbit_code': 31525472303056186, 'target_is_minimal': True, 'target_label': '1338.2.e.h.931.6', 'target_level': 1338, 'twist_class_label': '1338.2.e.h.931.6', 'twist_class_level': 1338, 'twisting_char_label': '223.39', 'twisting_conrey_index': 39, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1875125
{'charpoly_factorization': [[[1, 1], 14]], 'hecke_orbit_code': 31525472303056186, 'p': 2}
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id: 1875126
{'charpoly_factorization': [[[1, 1, 1], 7]], 'hecke_orbit_code': 31525472303056186, 'p': 3}
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id: 1875127
{'charpoly_factorization': [[[1849, -3956, 15172, 11514, 23889, 10444, 14853, 7990, 5593, 1716, 613, 98, 32, 4, 1], 1]], 'hecke_orbit_code': 31525472303056186, 'p': 5}
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id: 1875128
{'charpoly_factorization': [[[223, 1330, -928, -123, 179, -20, -6, 1], 2]], 'hecke_orbit_code': 31525472303056186, 'p': 7}
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id: 1875129
{'charpoly_factorization': [[[46225, 18920, 126639, -91234, 268502, -79660, 79666, 4330, 12676, 1602, 1478, 336, 93, 10, 1], 1]], 'hecke_orbit_code': 31525472303056186, 'p': 11}
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id: 1875130
{'charpoly_factorization': [[[-8104, -2043, 2978, 983, -156, -61, 2, 1], 2]], 'hecke_orbit_code': 31525472303056186, 'p': 13}
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id: 1875131
{'charpoly_factorization': [[[-1004, 3355, -2936, 502, 270, -60, -4, 1], 2]], 'hecke_orbit_code': 31525472303056186, 'p': 17}
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id: 1875132
{'charpoly_factorization': [[[3268180224, 736095168, 875246256, 19602024, 137394352, 7403274, 8521909, 790168, 413655, 38182, 9824, 656, 143, 8, 1], 1]], 'hecke_orbit_code': 31525472303056186, 'p': 19}
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id: 1875133
{'charpoly_factorization': [[[27520516, -5901750, 16646897, 5512312, 6816925, 1453270, 859718, 135232, 72193, 9258, 3230, 324, 97, 8, 1], 1]], 'hecke_orbit_code': 31525472303056186, 'p': 23}
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id: 1875134
{'charpoly_factorization': [[[2509509025, -7076219320, 18972447531, -3571679774, 1558765766, -70829468, 57267966, -603426, 1534280, 51574, 23854, 568, 201, 6, 1], 1]], 'hecke_orbit_code': 31525472303056186, 'p': 29}
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id: 1875135
{'charpoly_factorization': [[[256, 64, 7312, 19744, 201672, 303840, 709072, -321864, 350146, 21136, 8647, 510, 161, 10, 1], 1]], 'hecke_orbit_code': 31525472303056186, 'p': 31}
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id: 1875136
{'charpoly_factorization': [[[33686416, -31602780, 31418245, -14323491, 9134654, -3566297, 1754984, -479991, 145432, -29567, 7216, -1177, 182, -15, 1], 1]], 'hecke_orbit_code': 31525472303056186, 'p': 37}
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id: 1875137
{'charpoly_factorization': [[[-97744, -84444, -10054, 6563, 1092, -127, -12, 1], 2]], 'hecke_orbit_code': 31525472303056186, 'p': 41}
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id: 1875138
{'charpoly_factorization': [[[2696164, 17902726, 132418625, -89054400, 69731042, -13668584, 5675118, 212400, 404666, 25620, 11110, 984, 230, 14, 1], 1]], 'hecke_orbit_code': 31525472303056186, 'p': 43}
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id: 1875139
{'charpoly_factorization': [[[16384, -114176, 575248, -1234200, 1884432, -1618366, 1030545, -397780, 118148, -16182, 2701, 56, 140, 10, 1], 1]], 'hecke_orbit_code': 31525472303056186, 'p': 47}
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id: 1875140
{'charpoly_factorization': [[[4225, -54535, 896841, 2735332, 7200410, 6281410, 4830408, -220218, 307922, 5380, 9850, -2, 171, 9, 1], 1]], 'hecke_orbit_code': 31525472303056186, 'p': 53}
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id: 1875141
{'charpoly_factorization': [[[4979, -10900, 3145, 3777, -663, -99, 10, 1], 2]], 'hecke_orbit_code': 31525472303056186, 'p': 59}
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id: 1875142
{'charpoly_factorization': [[[43622537629696, -3416814865408, 2819275546880, 238486926336, 111337532992, 8219664896, 1982483248, 149885856, 24304120, 1426896, 151416, 6824, 610, 20, 1], 1]], 'hecke_orbit_code': 31525472303056186, 'p': 61}
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id: 1875143
{'charpoly_factorization': [[[7193124, -10323018, 21897963, 7257921, 8039197, 1490788, 1214857, 232729, 120694, 15209, 5511, 814, 165, 13, 1], 1]], 'hecke_orbit_code': 31525472303056186, 'p': 67}
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id: 1875144
{'charpoly_factorization': [[[2418278976, 5889317760, 11493003456, 7746351600, 4456488352, 94175184, 199908841, 15738574, 4815027, 345010, 73202, 6266, 617, 26, 1], 1]], 'hecke_orbit_code': 31525472303056186, 'p': 71}
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id: 1875145
{'charpoly_factorization': [[[842740900, -1930001490, 3479388259, -2026673983, 939601516, -230400965, 54850676, -7320455, 1741724, -182481, 28024, -1431, 196, -7, 1], 1]], 'hecke_orbit_code': 31525472303056186, 'p': 73}
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id: 1875146
{'charpoly_factorization': [[[200001256225, -284564693360, 286384669081, -130965903466, 42903068918, -9476313946, 1650386836, -215863260, 24701486, -2340102, 212330, -15230, 939, -36, 1], 1]], 'hecke_orbit_code': 31525472303056186, 'p': 79}
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id: 1875147
{'charpoly_factorization': [[[1444650148096, 675098604736, 438072593232, -12759380368, 16961475040, -1622418912, 565865588, -59164668, 9887616, -881492, 109685, -8263, 660, -27, 1], 1]], 'hecke_orbit_code': 31525472303056186, 'p': 83}
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id: 1875148
{'charpoly_factorization': [[[1005650944, 1823344864, 2275930961, 1557428551, 808120777, 271649546, 77608271, 16171839, 3885054, 679289, 98815, 9718, 729, 33, 1], 1]], 'hecke_orbit_code': 31525472303056186, 'p': 89}
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id: 1875149
{'charpoly_factorization': [[[720170896, 128973816, 341721464, -58510782, 115424675, -9288955, 10200662, 26149, 661475, 17634, 18045, 1799, 366, 19, 1], 1]], 'hecke_orbit_code': 31525472303056186, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 5, 'hecke_orbit': 8, 'label': '1338.2.e.h', 'level': 1338, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 49910077
{'hecke_orbit_code': 31525472303056186, 'n': 1, 'trace_an': 14}
-
id: 49910078
{'hecke_orbit_code': 31525472303056186, 'n': 2, 'trace_an': -14}
-
id: 49910079
{'hecke_orbit_code': 31525472303056186, 'n': 3, 'trace_an': -7}
-
id: 49910080
{'hecke_orbit_code': 31525472303056186, 'n': 4, 'trace_an': 14}
-
id: 49910081
{'hecke_orbit_code': 31525472303056186, 'n': 5, 'trace_an': -4}
-
id: 49910082
{'hecke_orbit_code': 31525472303056186, 'n': 6, 'trace_an': 7}
-
id: 49910083
{'hecke_orbit_code': 31525472303056186, 'n': 7, 'trace_an': 12}
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id: 49910084
{'hecke_orbit_code': 31525472303056186, 'n': 8, 'trace_an': -14}
-
id: 49910085
{'hecke_orbit_code': 31525472303056186, 'n': 9, 'trace_an': -7}
-
id: 49910086
{'hecke_orbit_code': 31525472303056186, 'n': 10, 'trace_an': 4}
-
id: 49910087
{'hecke_orbit_code': 31525472303056186, 'n': 11, 'trace_an': -10}
-
id: 49910088
{'hecke_orbit_code': 31525472303056186, 'n': 12, 'trace_an': -7}
-
id: 49910089
{'hecke_orbit_code': 31525472303056186, 'n': 13, 'trace_an': -4}
-
id: 49910090
{'hecke_orbit_code': 31525472303056186, 'n': 14, 'trace_an': -12}
-
id: 49910091
{'hecke_orbit_code': 31525472303056186, 'n': 15, 'trace_an': 8}
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id: 49910092
{'hecke_orbit_code': 31525472303056186, 'n': 16, 'trace_an': 14}
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id: 49910093
{'hecke_orbit_code': 31525472303056186, 'n': 17, 'trace_an': 8}
-
id: 49910094
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{'hecke_orbit_code': 31525472303056186, 'n': 739, 'trace_an': -24}
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id: 49910296
{'hecke_orbit_code': 31525472303056186, 'n': 743, 'trace_an': -117}
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id: 49910297
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id: 49910298
{'hecke_orbit_code': 31525472303056186, 'n': 757, 'trace_an': 37}
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id: 49910299
{'hecke_orbit_code': 31525472303056186, 'n': 761, 'trace_an': 55}
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id: 49910300
{'hecke_orbit_code': 31525472303056186, 'n': 769, 'trace_an': -10}
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id: 49910301
{'hecke_orbit_code': 31525472303056186, 'n': 773, 'trace_an': 50}
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id: 49910302
{'hecke_orbit_code': 31525472303056186, 'n': 787, 'trace_an': 56}
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id: 49910303
{'hecke_orbit_code': 31525472303056186, 'n': 797, 'trace_an': 100}
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id: 49910304
{'hecke_orbit_code': 31525472303056186, 'n': 809, 'trace_an': 30}
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id: 49910305
{'hecke_orbit_code': 31525472303056186, 'n': 811, 'trace_an': 9}
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id: 49910306
{'hecke_orbit_code': 31525472303056186, 'n': 821, 'trace_an': 59}
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id: 49910307
{'hecke_orbit_code': 31525472303056186, 'n': 823, 'trace_an': -43}
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id: 49910308
{'hecke_orbit_code': 31525472303056186, 'n': 827, 'trace_an': -55}
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id: 49910309
{'hecke_orbit_code': 31525472303056186, 'n': 829, 'trace_an': -107}
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id: 49910310
{'hecke_orbit_code': 31525472303056186, 'n': 839, 'trace_an': -91}
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id: 49910311
{'hecke_orbit_code': 31525472303056186, 'n': 841, 'trace_an': -163}
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id: 49910312
{'hecke_orbit_code': 31525472303056186, 'n': 853, 'trace_an': -55}
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id: 49910313
{'hecke_orbit_code': 31525472303056186, 'n': 857, 'trace_an': 22}
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id: 49910314
{'hecke_orbit_code': 31525472303056186, 'n': 859, 'trace_an': 96}
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id: 49910315
{'hecke_orbit_code': 31525472303056186, 'n': 863, 'trace_an': 4}
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id: 49910316
{'hecke_orbit_code': 31525472303056186, 'n': 877, 'trace_an': -26}
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id: 49910317
{'hecke_orbit_code': 31525472303056186, 'n': 881, 'trace_an': 78}
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id: 49910318
{'hecke_orbit_code': 31525472303056186, 'n': 883, 'trace_an': -52}
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id: 49910319
{'hecke_orbit_code': 31525472303056186, 'n': 887, 'trace_an': 26}
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id: 49910320
{'hecke_orbit_code': 31525472303056186, 'n': 907, 'trace_an': -212}
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id: 49910321
{'hecke_orbit_code': 31525472303056186, 'n': 911, 'trace_an': -42}
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id: 49910322
{'hecke_orbit_code': 31525472303056186, 'n': 919, 'trace_an': -74}
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id: 49910323
{'hecke_orbit_code': 31525472303056186, 'n': 929, 'trace_an': 25}
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id: 49910324
{'hecke_orbit_code': 31525472303056186, 'n': 937, 'trace_an': 127}
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id: 49910325
{'hecke_orbit_code': 31525472303056186, 'n': 941, 'trace_an': 246}
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id: 49910326
{'hecke_orbit_code': 31525472303056186, 'n': 947, 'trace_an': -43}
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id: 49910327
{'hecke_orbit_code': 31525472303056186, 'n': 953, 'trace_an': -14}
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id: 49910328
{'hecke_orbit_code': 31525472303056186, 'n': 961, 'trace_an': -5}
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id: 49910329
{'hecke_orbit_code': 31525472303056186, 'n': 967, 'trace_an': -49}
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id: 49910330
{'hecke_orbit_code': 31525472303056186, 'n': 971, 'trace_an': 2}
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id: 49910331
{'hecke_orbit_code': 31525472303056186, 'n': 977, 'trace_an': 39}
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id: 49910332
{'hecke_orbit_code': 31525472303056186, 'n': 983, 'trace_an': -172}
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id: 49910333
{'hecke_orbit_code': 31525472303056186, 'n': 991, 'trace_an': 55}
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id: 49910334
{'hecke_orbit_code': 31525472303056186, 'n': 997, 'trace_an': 152}