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{'Nk2': 24276, 'analytic_conductor': 48.461208986715064, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [7, -1], [17, 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': [6069, 1, [2024, 4336, 3760], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 10, 'field_disc': 3023765285896192, 'field_disc_factorization': [[2, 22], [103, 1], [6999241, 1]], 'field_poly': [-2, -64, -44, 160, 48, -144, 5, 44, -8, -4, 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': [[2, [-2, -64, -44, 160, 48, -144, 5, 44, -8, -4, 1]], [5, [-64, -384, -368, 528, 441, -402, -79, 104, -9, -6, 1]], [11, [-10084, 15320, 33128, 2112, -10593, -1334, 1255, 112, -63, -2, 1]], [23, [-484, -19272, -19640, 51200, 61615, 2122, -6257, -1116, 29, 18, 1]]], 'hecke_orbit': 30, 'hecke_orbit_code': 130604389227304885, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '6069.2.a.bd', 'level': 6069, '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': [3, 7, 17], 'level_radical': 357, 'minimal_twist': '357.2.k.b', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}-q^{3}+(1+\\beta _{1}+\\beta _{2})q^{4}+(1+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 10, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6069.2.a', 'trace_display': [4, -10, 6, 10], 'trace_hash': 331032169744766518, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.118', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.085', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.330', 'prec': 17}, {'__RealLiteral__': 0, 'data': '230.768', 'prec': 24}, {'__RealLiteral__': 0, 'data': '173.283', 'prec': 24}, {'__RealLiteral__': 0, 'data': '9014.757', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.013', 'prec': 17}, 'traces': [10, 4, -10, 12, 6, -4, 10, 12, 10, 0, 2, -12, 6, 4, -6, 20, 0, 4, 6, 16, -10, -24, -18, -12, 4, 12, -10, 12, 12, 0, 8, 28, -2, 0, 6, 12, -24, 32, -6, 36, 2, -4, 6, -28, 6, 28, 16, -20, 10, 52, 0, 24, -12, -4, 18, 12, -6, -20, 20, -16, 4, 24, 10, 56, 38, 24, 20, 0, 18, 0, 20, 12, -20, -36, -4, -8, 2, -12, -20, 92, 10, -8, 36, -12, 0, 0, -12, -92, 32, 0, 6, -40, -8, 60, 14, -28, -36, 4, 2, 40, 16, 0, 10, -48, -6, 40, 22, -12, -40, 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mf_newspaces • Show schema
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{'ALdims': [33, 36, 31, 36, 40, 28, 24, 44], 'Nk2': 24276, 'analytic_conductor': 48.461208986715064, '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': [6069, 1, [2024, 4336, 3760], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 781, 'dim': 272, 'eis_dim': 71, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5, 11, 23], 'hecke_orbit_code': 33560501, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 5, 5, 6, 6, 9, 9, 9, 9, 10, 10, 15, 15, 15, 15, 16, 16, 24, 24], 'label': '6069.2.a', 'level': 6069, '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': [3, 7, 17], 'level_radical': 357, 'mf_dim': 852, 'mf_new_dim': 272, 'num_forms': 39, 'plus_dim': 121, 'prim_orbit_index': 1, 'relative_dim': 272, 'sturm_bound': 1632, 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-88, -104, -408, -56, 72, 32, 0, 336, 336, -40, 128, -40, 0, 0, -548, 16, 168, -176, -192, 16, -88, 80, 64, 0, -56, 72, -72, 128, -40, -72, 136, 128, -80, -4, 128, -152, 16, 32, 24, 144, 0, -48, 8, 168, 448, 16, -8, 28, 88, 248, -24, 8, -96, -376, -32, 120, -52, 0, 208, 0, -8, -48, 112, -16, 32, 128, -72, 32, 0, 24, 272, 152, -160, 112, 0, 32, 392, -152, 8, -72, -176, 96, 72, 272, -128, 112, 216, 16, -88], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48703884
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 10, 'source_embedding_index': 4, 'source_hecke_orbit_code': 130604389227304885, 'source_is_minimal': False, 'source_label': '6069.2.a.bd.1.4', 'source_level': 6069, 'target_conrey_index': 1, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 130604389227304885, 'target_is_minimal': False, 'target_label': '6069.2.a.bd.1.4', 'target_level': 6069, 'twist_class_label': '357.2.k.b.64.7', 'twist_class_level': 357, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48703885
{'conductor': 17, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 10, 'source_embedding_index': 4, 'source_hecke_orbit_code': 130604389227304885, 'source_is_minimal': False, 'source_label': '6069.2.a.bd.1.4', 'source_level': 6069, 'target_conrey_index': 106, 'target_dim': 20, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504286855692645, 'target_is_minimal': True, 'target_label': '357.2.k.b.106.4', 'target_level': 357, 'twist_class_label': '357.2.k.b.64.7', 'twist_class_level': 357, 'twisting_char_label': '17.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48703886
{'conductor': 17, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 10, 'source_embedding_index': 4, 'source_hecke_orbit_code': 130604389227304885, 'source_is_minimal': False, 'source_label': '6069.2.a.bd.1.4', 'source_level': 6069, 'target_conrey_index': 64, 'target_dim': 20, 'target_embedding_index': 7, 'target_hecke_orbit_code': 4504286855692645, 'target_is_minimal': True, 'target_label': '357.2.k.b.64.7', 'target_level': 357, 'twist_class_label': '357.2.k.b.64.7', 'twist_class_level': 357, 'twisting_char_label': '17.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 48703887
{'conductor': 17, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 10, 'source_embedding_index': 4, 'source_hecke_orbit_code': 130604389227304885, 'source_is_minimal': False, 'source_label': '6069.2.a.bd.1.4', 'source_level': 6069, 'target_conrey_index': 1, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 135107988854675381, 'target_is_minimal': False, 'target_label': '6069.2.a.be.1.4', 'target_level': 6069, 'twist_class_label': '357.2.k.b.64.7', 'twist_class_level': 357, 'twisting_char_label': '17.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 48703888
{'conductor': 51, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 10, 'source_embedding_index': 4, 'source_hecke_orbit_code': 130604389227304885, 'source_is_minimal': False, 'source_label': '6069.2.a.bd.1.4', 'source_level': 6069, 'target_conrey_index': 820, 'target_dim': 20, 'target_embedding_index': 7, 'target_hecke_orbit_code': 4504493014123567, 'target_is_minimal': False, 'target_label': '1071.2.n.b.820.7', 'target_level': 1071, 'twist_class_label': '357.2.k.b.64.7', 'twist_class_level': 357, 'twisting_char_label': '51.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48703889
{'conductor': 51, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 10, 'source_embedding_index': 4, 'source_hecke_orbit_code': 130604389227304885, 'source_is_minimal': False, 'source_label': '6069.2.a.bd.1.4', 'source_level': 6069, 'target_conrey_index': 64, 'target_dim': 20, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504493014123567, 'target_is_minimal': False, 'target_label': '1071.2.n.b.64.4', 'target_level': 1071, 'twist_class_label': '357.2.k.b.64.7', 'twist_class_level': 357, 'twisting_char_label': '51.26', 'twisting_conrey_index': 26, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4080475
{'charpoly_factorization': [[[-2, -64, -44, 160, 48, -144, 5, 44, -8, -4, 1], 1]], 'hecke_orbit_code': 130604389227304885, 'p': 2}
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id: 4080476
{'charpoly_factorization': [[[1, 1], 10]], 'hecke_orbit_code': 130604389227304885, 'p': 3}
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id: 4080477
{'charpoly_factorization': [[[-64, -384, -368, 528, 441, -402, -79, 104, -9, -6, 1], 1]], 'hecke_orbit_code': 130604389227304885, 'p': 5}
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id: 4080478
{'charpoly_factorization': [[[-1, 1], 10]], 'hecke_orbit_code': 130604389227304885, 'p': 7}
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id: 4080479
{'charpoly_factorization': [[[-10084, 15320, 33128, 2112, -10593, -1334, 1255, 112, -63, -2, 1], 1]], 'hecke_orbit_code': 130604389227304885, 'p': 11}
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id: 4080480
{'charpoly_factorization': [[[-91664, -92032, 121544, 44584, -25673, -6506, 2005, 344, -71, -6, 1], 1]], 'hecke_orbit_code': 130604389227304885, 'p': 13}
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id: 4080481
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 130604389227304885, 'p': 17}
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id: 4080482
{'charpoly_factorization': [[[22972, -100104, 53352, 52624, -23593, -7654, 2447, 396, -85, -6, 1], 1]], 'hecke_orbit_code': 130604389227304885, 'p': 19}
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id: 4080483
{'charpoly_factorization': [[[-484, -19272, -19640, 51200, 61615, 2122, -6257, -1116, 29, 18, 1], 1]], 'hecke_orbit_code': 130604389227304885, 'p': 23}
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id: 4080484
{'charpoly_factorization': [[[-5696, -247168, -512096, -67936, 212732, -49680, -2336, 1676, -92, -12, 1], 1]], 'hecke_orbit_code': 130604389227304885, 'p': 29}
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id: 4080485
{'charpoly_factorization': [[[-2336, -9728, 13584, 17104, -9282, -6116, 2090, 512, -84, -8, 1], 1]], 'hecke_orbit_code': 130604389227304885, 'p': 31}
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id: 4080486
{'charpoly_factorization': [[[424456, 1474912, 1954632, 1192848, 289858, -12056, -15048, -1556, 104, 24, 1], 1]], 'hecke_orbit_code': 130604389227304885, 'p': 37}
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id: 4080487
{'charpoly_factorization': [[[-833719792, -34106048, 74168376, 2395928, -2561607, -59458, 42687, 604, -339, -2, 1], 1]], 'hecke_orbit_code': 130604389227304885, 'p': 41}
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id: 4080488
{'charpoly_factorization': [[[-448, -13824, -37488, -37232, -13463, 1338, 1839, 156, -73, -6, 1], 1]], 'hecke_orbit_code': 130604389227304885, 'p': 43}
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id: 4080489
{'charpoly_factorization': [[[-9831296, 22000384, -12319648, 904960, 761074, -141884, -8046, 3316, -124, -16, 1], 1]], 'hecke_orbit_code': 130604389227304885, 'p': 47}
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id: 4080490
{'charpoly_factorization': [[[730592, 686400, -311056, -313936, 17342, 34304, 1272, -1216, -84, 12, 1], 1]], 'hecke_orbit_code': 130604389227304885, 'p': 53}
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id: 4080491
{'charpoly_factorization': [[[1360000, 128000, -914400, -29600, 166258, -14524, -9010, 1604, 28, -20, 1], 1]], 'hecke_orbit_code': 130604389227304885, 'p': 59}
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id: 4080492
{'charpoly_factorization': [[[-821767712, 14995328, 95983248, 2323632, -3414882, -97524, 53394, 1148, -382, -4, 1], 1]], 'hecke_orbit_code': 130604389227304885, 'p': 61}
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id: 4080493
{'charpoly_factorization': [[[4614400, 6507520, -4986816, -194368, 630308, -93240, -10596, 2812, -40, -20, 1], 1]], 'hecke_orbit_code': 130604389227304885, 'p': 67}
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id: 4080494
{'charpoly_factorization': [[[101889904, 10600576, -31473456, 5010480, 1045740, -251824, -6500, 3956, -104, -20, 1], 1]], 'hecke_orbit_code': 130604389227304885, 'p': 71}
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id: 4080495
{'charpoly_factorization': [[[424877056, 279827456, -58985216, -33580032, 217472, 833408, 23712, -7232, -308, 20, 1], 1]], 'hecke_orbit_code': 130604389227304885, 'p': 73}
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id: 4080496
{'charpoly_factorization': [[[10713088, 9056256, -17232256, -5510592, 1200338, 435920, 3004, -5716, -224, 20, 1], 1]], 'hecke_orbit_code': 130604389227304885, 'p': 79}
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id: 4080497
{'charpoly_factorization': [[[-6275584, 11285504, 10016896, -7932544, 1209720, 140352, -46948, 2024, 334, -36, 1], 1]], 'hecke_orbit_code': 130604389227304885, 'p': 83}
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id: 4080498
{'charpoly_factorization': [[[-4681216, -178915840, -78750848, 11243008, 4350368, -524992, -53532, 8256, 4, -32, 1], 1]], 'hecke_orbit_code': 130604389227304885, 'p': 89}
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id: 4080499
{'charpoly_factorization': [[[-310400, 1132800, 1751808, 541504, -187144, -135648, -23428, 8, 382, 36, 1], 1]], 'hecke_orbit_code': 130604389227304885, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 30, 'label': '6069.2.a.bd', 'level': 6069, 'portrait': 'data:image/png;base64,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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 68275549
{'hecke_orbit_code': 130604389227304885, 'n': 1, 'trace_an': 10}
-
id: 68275550
{'hecke_orbit_code': 130604389227304885, 'n': 2, 'trace_an': 4}
-
id: 68275551
{'hecke_orbit_code': 130604389227304885, 'n': 3, 'trace_an': -10}
-
id: 68275552
{'hecke_orbit_code': 130604389227304885, 'n': 4, 'trace_an': 12}
-
id: 68275553
{'hecke_orbit_code': 130604389227304885, 'n': 5, 'trace_an': 6}
-
id: 68275554
{'hecke_orbit_code': 130604389227304885, 'n': 6, 'trace_an': -4}
-
id: 68275555
{'hecke_orbit_code': 130604389227304885, 'n': 7, 'trace_an': 10}
-
id: 68275556
{'hecke_orbit_code': 130604389227304885, 'n': 8, 'trace_an': 12}
-
id: 68275557
{'hecke_orbit_code': 130604389227304885, 'n': 9, 'trace_an': 10}
-
id: 68275558
{'hecke_orbit_code': 130604389227304885, 'n': 10, 'trace_an': 0}
-
id: 68275559
{'hecke_orbit_code': 130604389227304885, 'n': 11, 'trace_an': 2}
-
id: 68275560
{'hecke_orbit_code': 130604389227304885, 'n': 12, 'trace_an': -12}
-
id: 68275561
{'hecke_orbit_code': 130604389227304885, 'n': 13, 'trace_an': 6}
-
id: 68275562
{'hecke_orbit_code': 130604389227304885, 'n': 14, 'trace_an': 4}
-
id: 68275563
{'hecke_orbit_code': 130604389227304885, 'n': 15, 'trace_an': -6}
-
id: 68275564
{'hecke_orbit_code': 130604389227304885, 'n': 16, 'trace_an': 20}
-
id: 68275565
{'hecke_orbit_code': 130604389227304885, 'n': 17, 'trace_an': 0}
-
id: 68275566
{'hecke_orbit_code': 130604389227304885, 'n': 18, 'trace_an': 4}
-
id: 68275567
{'hecke_orbit_code': 130604389227304885, 'n': 19, 'trace_an': 6}
-
id: 68275568
{'hecke_orbit_code': 130604389227304885, 'n': 20, 'trace_an': 16}
-
id: 68275569
{'hecke_orbit_code': 130604389227304885, 'n': 21, 'trace_an': -10}
-
id: 68275570
{'hecke_orbit_code': 130604389227304885, 'n': 22, 'trace_an': -24}
-
id: 68275571
{'hecke_orbit_code': 130604389227304885, 'n': 23, 'trace_an': -18}
-
id: 68275572
{'hecke_orbit_code': 130604389227304885, 'n': 24, 'trace_an': -12}
-
id: 68275573
{'hecke_orbit_code': 130604389227304885, 'n': 25, 'trace_an': 4}
-
id: 68275574
{'hecke_orbit_code': 130604389227304885, 'n': 26, 'trace_an': 12}
-
id: 68275575
{'hecke_orbit_code': 130604389227304885, 'n': 27, 'trace_an': -10}
-
id: 68275576
{'hecke_orbit_code': 130604389227304885, 'n': 28, 'trace_an': 12}
-
id: 68275577
{'hecke_orbit_code': 130604389227304885, 'n': 29, 'trace_an': 12}
-
id: 68275578
{'hecke_orbit_code': 130604389227304885, 'n': 30, 'trace_an': 0}
-
id: 68275579
{'hecke_orbit_code': 130604389227304885, 'n': 31, 'trace_an': 8}
-
id: 68275580
{'hecke_orbit_code': 130604389227304885, 'n': 32, 'trace_an': 28}
-
id: 68275581
{'hecke_orbit_code': 130604389227304885, 'n': 33, 'trace_an': -2}
-
id: 68275582
{'hecke_orbit_code': 130604389227304885, 'n': 34, 'trace_an': 0}
-
id: 68275583
{'hecke_orbit_code': 130604389227304885, 'n': 35, 'trace_an': 6}
-
id: 68275584
{'hecke_orbit_code': 130604389227304885, 'n': 36, 'trace_an': 12}
-
id: 68275585
{'hecke_orbit_code': 130604389227304885, 'n': 37, 'trace_an': -24}
-
id: 68275586
{'hecke_orbit_code': 130604389227304885, 'n': 38, 'trace_an': 32}
-
id: 68275587
{'hecke_orbit_code': 130604389227304885, 'n': 39, 'trace_an': -6}
-
id: 68275588
{'hecke_orbit_code': 130604389227304885, 'n': 40, 'trace_an': 36}
-
id: 68275589
{'hecke_orbit_code': 130604389227304885, 'n': 41, 'trace_an': 2}
-
id: 68275590
{'hecke_orbit_code': 130604389227304885, 'n': 42, 'trace_an': -4}
-
id: 68275591
{'hecke_orbit_code': 130604389227304885, 'n': 43, 'trace_an': 6}
-
id: 68275592
{'hecke_orbit_code': 130604389227304885, 'n': 44, 'trace_an': -28}
-
id: 68275593
{'hecke_orbit_code': 130604389227304885, 'n': 45, 'trace_an': 6}
-
id: 68275594
{'hecke_orbit_code': 130604389227304885, 'n': 46, 'trace_an': 28}
-
id: 68275595
{'hecke_orbit_code': 130604389227304885, 'n': 47, 'trace_an': 16}
-
id: 68275596
{'hecke_orbit_code': 130604389227304885, 'n': 48, 'trace_an': -20}
-
id: 68275597
{'hecke_orbit_code': 130604389227304885, 'n': 49, 'trace_an': 10}
-
id: 68275598
{'hecke_orbit_code': 130604389227304885, 'n': 50, 'trace_an': 52}
-
id: 68275599
{'hecke_orbit_code': 130604389227304885, 'n': 51, 'trace_an': 0}
-
id: 68275600
{'hecke_orbit_code': 130604389227304885, 'n': 52, 'trace_an': 24}
-
id: 68275601
{'hecke_orbit_code': 130604389227304885, 'n': 53, 'trace_an': -12}
-
id: 68275602
{'hecke_orbit_code': 130604389227304885, 'n': 54, 'trace_an': -4}
-
id: 68275603
{'hecke_orbit_code': 130604389227304885, 'n': 55, 'trace_an': 18}
-
id: 68275604
{'hecke_orbit_code': 130604389227304885, 'n': 56, 'trace_an': 12}
-
id: 68275605
{'hecke_orbit_code': 130604389227304885, 'n': 57, 'trace_an': -6}
-
id: 68275606
{'hecke_orbit_code': 130604389227304885, 'n': 58, 'trace_an': -20}
-
id: 68275607
{'hecke_orbit_code': 130604389227304885, 'n': 59, 'trace_an': 20}
-
id: 68275608
{'hecke_orbit_code': 130604389227304885, 'n': 60, 'trace_an': -16}
-
id: 68275609
{'hecke_orbit_code': 130604389227304885, 'n': 61, 'trace_an': 4}
-
id: 68275610
{'hecke_orbit_code': 130604389227304885, 'n': 62, 'trace_an': 24}
-
id: 68275611
{'hecke_orbit_code': 130604389227304885, 'n': 63, 'trace_an': 10}
-
id: 68275612
{'hecke_orbit_code': 130604389227304885, 'n': 64, 'trace_an': 56}
-
id: 68275613
{'hecke_orbit_code': 130604389227304885, 'n': 65, 'trace_an': 38}
-
id: 68275614
{'hecke_orbit_code': 130604389227304885, 'n': 66, 'trace_an': 24}
-
id: 68275615
{'hecke_orbit_code': 130604389227304885, 'n': 67, 'trace_an': 20}
-
id: 68275616
{'hecke_orbit_code': 130604389227304885, 'n': 68, 'trace_an': 0}
-
id: 68275617
{'hecke_orbit_code': 130604389227304885, 'n': 69, 'trace_an': 18}
-
id: 68275618
{'hecke_orbit_code': 130604389227304885, 'n': 70, 'trace_an': 0}
-
id: 68275619
{'hecke_orbit_code': 130604389227304885, 'n': 71, 'trace_an': 20}
-
id: 68275620
{'hecke_orbit_code': 130604389227304885, 'n': 72, 'trace_an': 12}
-
id: 68275621
{'hecke_orbit_code': 130604389227304885, 'n': 73, 'trace_an': -20}
-
id: 68275622
{'hecke_orbit_code': 130604389227304885, 'n': 74, 'trace_an': -36}
-
id: 68275623
{'hecke_orbit_code': 130604389227304885, 'n': 75, 'trace_an': -4}
-
id: 68275624
{'hecke_orbit_code': 130604389227304885, 'n': 76, 'trace_an': -8}
-
id: 68275625
{'hecke_orbit_code': 130604389227304885, 'n': 77, 'trace_an': 2}
-
id: 68275626
{'hecke_orbit_code': 130604389227304885, 'n': 78, 'trace_an': -12}
-
id: 68275627
{'hecke_orbit_code': 130604389227304885, 'n': 79, 'trace_an': -20}
-
id: 68275628
{'hecke_orbit_code': 130604389227304885, 'n': 80, 'trace_an': 92}
-
id: 68275629
{'hecke_orbit_code': 130604389227304885, 'n': 81, 'trace_an': 10}
-
id: 68275630
{'hecke_orbit_code': 130604389227304885, 'n': 82, 'trace_an': -8}
-
id: 68275631
{'hecke_orbit_code': 130604389227304885, 'n': 83, 'trace_an': 36}
-
id: 68275632
{'hecke_orbit_code': 130604389227304885, 'n': 84, 'trace_an': -12}
-
id: 68275633
{'hecke_orbit_code': 130604389227304885, 'n': 85, 'trace_an': 0}
-
id: 68275634
{'hecke_orbit_code': 130604389227304885, 'n': 86, 'trace_an': 0}
-
id: 68275635
{'hecke_orbit_code': 130604389227304885, 'n': 87, 'trace_an': -12}
-
id: 68275636
{'hecke_orbit_code': 130604389227304885, 'n': 88, 'trace_an': -92}
-
id: 68275637
{'hecke_orbit_code': 130604389227304885, 'n': 89, 'trace_an': 32}
-
id: 68275638
{'hecke_orbit_code': 130604389227304885, 'n': 90, 'trace_an': 0}
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id: 68275639
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