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mf_newforms • Show schema
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{'Nk2': 816, 'analytic_conductor': 3.0090974102927714, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 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': [51, 1, [35, 37], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 8, 'field_disc_factorization': [[2, 3]], 'field_poly': [-2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 8, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-18, 0, 1]], [5, [-279, -6, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510798949220403, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 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': True, 'label': '51.4.a.d', 'level': 51, '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': [3, 17], 'level_radical': 51, 'minimal_twist': '51.4.a.d', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta q^{2}-3q^{3}+10q^{4}+(3+4\\beta )q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '51.4.a', 'trace_display': [0, -6, 6, -8], 'trace_hash': 731612123591131891, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.020', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.902', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.066', 'prec': 17}, {'__RealLiteral__': 0, 'data': '8.928', 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 1], [-3, 0], [10, 0], [3, 4], [0, -3], [-4, -4], [0, 2], [9, 0], [72, 3], [33, -4], [-30, 0], [-1, -8], [-72, -4], [-9, -12], [-44, 0], [-17, 0], [0, 9], [-13, -16], [30, 40], [12, 12], [-72, 33], [-99, -4], [0, -6], [172, 24], [-144, -1], [-27, 0], [-40, -40], [222, -16], [-216, -9], [266, 8], [0, -60], [-99, 12], [0, -17], [-300, -28], [90, 0], [44, 64], [-288, -13], [3, 24], [144, 6], [285, -36], [216, 12], [-91, 16], [330, -40], [27, 36], [-72, -99], [210, 12], [132, 0], [-39, 32], [432, 172], [51, 0], [-10, -80], [-150, -124], [0, -27], [-189, 120], [-144, -8], [39, 48], [-288, 222], [222, 96], [-90, -120], [200, -156], [144, 266], [-36, -36], [-728, 0], [-579, -28], [216, -99], [-484, -72], [-170, 0], [297, 12], [-504, -300], [-924, 56], [0, 18], [434, 12], [1152, 44], [-516, -72], [-130, -160], [156, -116], [432, 3], [254, 0], [-132, -176], [81, 0], [-648, 285], [498, 12], [120, 120], [-51, -68], [288, -91], [-666, 48], [-144, 66], [-144, 252], [648, 27], [580, 36], [-990, -40], [-798, -24], [216, 210], [-1191, -100], [0, 180], [512, 52], [576, -39], [297, -36], [1720, 240]], 'ap': [[0, 1], [-3, 0], [3, 4], [-4, -4], [33, -4], [-1, -8], [-17, 0], [-13, -16], [-99, -4], [222, -16], [266, 8], [44, 64], [285, -36], [-91, 16], [210, 12], [-150, -124], [222, 96], [200, -156], [-484, -72], [-924, 56], [434, 12], [254, 0], [498, 12], [-144, 252], [512, 52], [720, -200], [209, -48], [117, 84], [-556, 48], [-513, -52], [-1153, 352], [-2049, -20], [-1014, 252], [986, -172], [-882, 188], [848, 48], [1859, -64], [2666, -216], [-1743, 28], [-561, -748], [-654, -184], [782, -236], [-486, -620], [-358, -840], [2955, 44], [560, 300], [2858, 488], [-1501, 336], [-3921, 540], [-1258, 768], [-339, -916], [-444, -276], [-2536, -996], [1896, 232], [-2292, 196], [-3732, -912], [2433, 1052], [-169, 240], [3554, 124], [-276, 1236], [-3682, 520], [-1176, 400], [-700, -240], [1488, 808], [944, 1516], [930, -96], [95, 1160], [-9538, -300], [852, -1176], [1829, 1344], [-426, -1048], [-1152, 264], [4808, -600], [-2734, -720], [5120, 1372], [5316, -684], [-4140, -80], [-3868, 492], [-1743, -548], [-5995, 1264], [-564, -128], [-5761, -2408], [3936, 1496], [-4369, -640], [4772, -2376], [-930, 1052], [5466, -160], [9605, 840], [3342, -2472], [11024, -368], [-5934, 148], [-2439, 3340], [1538, 2248], [-4830, 1612], [-5470, 3636], [14595, -668], [36, -232], [-7539, -532], [-10204, 1344], [6752, -3576], [4808, -36], [20130, -536], [-19398, -480], [-6216, -1932], [-7336, 2788], [9137, 96], [-6372, -2192], [4446, 540], [-9006, -3788], [14390, 880], [9230, 2156], [2027, 4152], [2154, 1552], [11054, 1872], [1823, 3920], [-5721, 828], [-1168, -3036], [-2070, 2364], [99, 1988], [8142, 92], [19001, 1224], [-9238, -196], [-3051, 3820], [-12633, -2164], [-17164, 2104], [12984, -2192], [11102, 3692], [16311, 908], [21296, 456], [-3478, -5920], [-12613, 4928], [-17184, 2664], [-14086, 3616], [-3931, -8184], [-10482, 1696], [-11815, -4272], [25512, 3580], [1496, -2268], [22272, -2424], [1749, -8932], [-7042, 188], [14379, 3308], [-30988, 2872], [6351, 6484], [-15130, -1088], [-20541, -2476], [22682, 3144], [-5346, -7208], [-30316, 2216], [-16104, 2524], [-32578, 300], [18, 4704], [31727, 72], [23691, 2116], [-1558, -8948], [24705, 5452], [2567, -9960], [-7617, 716], [4346, -9992], [-20214, 2624], [10692, 6808], [9684, -9024], [27029, -5760], [-26850, -5384], [-40926, -840], [-38133, 124], [-27700, -6540], [-28114, -2640]], 'char_orbit_index': 1, 'field_poly': [-2, 0, 1], 'hecke_orbit_code': 13510798949220403, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1], 'hecke_ring_inverse_denominators': [1, 3], 'hecke_ring_inverse_numerators': [[1, 0], [0, 1]], 'hecke_ring_numerators': [[1, 0], [0, 3]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 2, 'label': '51.4.a.d', 'level': 51, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'ALdims': [3, 1, 1, 3], 'Nk2': 816, 'analytic_conductor': 3.0090974102927714, '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': [51, 1, [35, 37], [1, 1]], 'conrey_index': 1, 'cusp_dim': 16, 'dim': 8, 'eis_dim': 4, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 67108915, 'hecke_orbit_dims': [1, 1, 1, 2, 3], 'label': '51.4.a', 'level': 51, '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': [3, 17], 'level_radical': 51, 'mf_dim': 20, 'mf_new_dim': 8, 'num_forms': 5, 'plus_dim': 6, 'prim_orbit_index': 1, 'relative_dim': 8, 'sturm_bound': 24, 'trace_bound': 3, 'trace_display': [4, 0, 0, 8], 'traces': [8, 4, 0, 12, 0, 12, 8, 48, 72, 100, 16, 0, 52, -288, -72, -44, 0, 36, -204, 32, -84, -284, 0, 144, 532, -204, 0, -720, 432, 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mf_twists_nf • Show schema
Hide schema
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id: 43860
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '51.4.a.d', 'source_level': 51, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '51.4.a.d', 'target_level': 51, 'twist_class_label': '51.4.a.d', 'twist_class_level': 51, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 43861
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '51.4.a.d', 'source_level': 51, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '153.4.a.e', 'target_level': 153, 'twist_class_label': '51.4.a.d', 'twist_class_level': 51, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 43862
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '51.4.a.d', 'source_level': 51, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '816.4.a.o', 'target_level': 816, 'twist_class_label': '51.4.a.d', 'twist_class_level': 51, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 43863
{'conductor': 17, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '51.4.a.d', 'source_level': 51, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '867.4.a.j', 'target_level': 867, 'twist_class_label': '51.4.a.d', 'twist_class_level': 51, 'twisting_char_label': '17.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 43864
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '51.4.a.d', 'source_level': 51, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1275.4.a.m', 'target_level': 1275, 'twist_class_label': '51.4.a.d', 'twist_class_level': 51, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 43865
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '51.4.a.d', 'source_level': 51, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '2448.4.a.v', 'target_level': 2448, 'twist_class_label': '51.4.a.d', 'twist_class_level': 51, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 43866
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '51.4.a.d', 'source_level': 51, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '2499.4.a.l', 'target_level': 2499, 'twist_class_label': '51.4.a.d', 'twist_class_level': 51, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 4}
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mf_hecke_charpolys • Show schema
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id: 175650
{'charpoly_factorization': [[[-18, 0, 1], 1]], 'hecke_orbit_code': 13510798949220403, 'p': 2}
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id: 175651
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 13510798949220403, 'p': 3}
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id: 175652
{'charpoly_factorization': [[[-279, -6, 1], 1]], 'hecke_orbit_code': 13510798949220403, 'p': 5}
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id: 175653
{'charpoly_factorization': [[[-272, 8, 1], 1]], 'hecke_orbit_code': 13510798949220403, 'p': 7}
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id: 175654
{'charpoly_factorization': [[[801, -66, 1], 1]], 'hecke_orbit_code': 13510798949220403, 'p': 11}
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id: 175655
{'charpoly_factorization': [[[-1151, 2, 1], 1]], 'hecke_orbit_code': 13510798949220403, 'p': 13}
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id: 175656
{'charpoly_factorization': [[[17, 1], 2]], 'hecke_orbit_code': 13510798949220403, 'p': 17}
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id: 175657
{'charpoly_factorization': [[[-4439, 26, 1], 1]], 'hecke_orbit_code': 13510798949220403, 'p': 19}
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id: 175658
{'charpoly_factorization': [[[9513, 198, 1], 1]], 'hecke_orbit_code': 13510798949220403, 'p': 23}
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id: 175659
{'charpoly_factorization': [[[44676, -444, 1], 1]], 'hecke_orbit_code': 13510798949220403, 'p': 29}
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id: 175660
{'charpoly_factorization': [[[69604, -532, 1], 1]], 'hecke_orbit_code': 13510798949220403, 'p': 31}
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id: 175661
{'charpoly_factorization': [[[-71792, -88, 1], 1]], 'hecke_orbit_code': 13510798949220403, 'p': 37}
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id: 175662
{'charpoly_factorization': [[[57897, -570, 1], 1]], 'hecke_orbit_code': 13510798949220403, 'p': 41}
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id: 175663
{'charpoly_factorization': [[[3673, 182, 1], 1]], 'hecke_orbit_code': 13510798949220403, 'p': 43}
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id: 175664
{'charpoly_factorization': [[[41508, -420, 1], 1]], 'hecke_orbit_code': 13510798949220403, 'p': 47}
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id: 175665
{'charpoly_factorization': [[[-254268, 300, 1], 1]], 'hecke_orbit_code': 13510798949220403, 'p': 53}
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id: 175666
{'charpoly_factorization': [[[-116604, -444, 1], 1]], 'hecke_orbit_code': 13510798949220403, 'p': 59}
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id: 175667
{'charpoly_factorization': [[[-398048, -400, 1], 1]], 'hecke_orbit_code': 13510798949220403, 'p': 61}
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id: 175668
{'charpoly_factorization': [[[140944, 968, 1], 1]], 'hecke_orbit_code': 13510798949220403, 'p': 67}
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id: 175669
{'charpoly_factorization': [[[797328, 1848, 1], 1]], 'hecke_orbit_code': 13510798949220403, 'p': 71}
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id: 175670
{'charpoly_factorization': [[[185764, -868, 1], 1]], 'hecke_orbit_code': 13510798949220403, 'p': 73}
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id: 175671
{'charpoly_factorization': [[[-254, 1], 2]], 'hecke_orbit_code': 13510798949220403, 'p': 79}
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id: 175672
{'charpoly_factorization': [[[245412, -996, 1], 1]], 'hecke_orbit_code': 13510798949220403, 'p': 83}
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id: 175673
{'charpoly_factorization': [[[-1122336, 288, 1], 1]], 'hecke_orbit_code': 13510798949220403, 'p': 89}
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id: 175674
{'charpoly_factorization': [[[213472, -1024, 1], 1]], 'hecke_orbit_code': 13510798949220403, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 4, 'label': '51.4.a.d', 'level': 51, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 34594165
{'hecke_orbit_code': 13510798949220403, 'n': 1, 'trace_an': 2}
-
id: 34594166
{'hecke_orbit_code': 13510798949220403, 'n': 2, 'trace_an': 0}
-
id: 34594167
{'hecke_orbit_code': 13510798949220403, 'n': 3, 'trace_an': -6}
-
id: 34594168
{'hecke_orbit_code': 13510798949220403, 'n': 4, 'trace_an': 20}
-
id: 34594169
{'hecke_orbit_code': 13510798949220403, 'n': 5, 'trace_an': 6}
-
id: 34594170
{'hecke_orbit_code': 13510798949220403, 'n': 6, 'trace_an': 0}
-
id: 34594171
{'hecke_orbit_code': 13510798949220403, 'n': 7, 'trace_an': -8}
-
id: 34594172
{'hecke_orbit_code': 13510798949220403, 'n': 8, 'trace_an': 0}
-
id: 34594173
{'hecke_orbit_code': 13510798949220403, 'n': 9, 'trace_an': 18}
-
id: 34594174
{'hecke_orbit_code': 13510798949220403, 'n': 10, 'trace_an': 144}
-
id: 34594175
{'hecke_orbit_code': 13510798949220403, 'n': 11, 'trace_an': 66}
-
id: 34594176
{'hecke_orbit_code': 13510798949220403, 'n': 12, 'trace_an': -60}
-
id: 34594177
{'hecke_orbit_code': 13510798949220403, 'n': 13, 'trace_an': -2}
-
id: 34594178
{'hecke_orbit_code': 13510798949220403, 'n': 14, 'trace_an': -144}
-
id: 34594179
{'hecke_orbit_code': 13510798949220403, 'n': 15, 'trace_an': -18}
-
id: 34594180
{'hecke_orbit_code': 13510798949220403, 'n': 16, 'trace_an': -88}
-
id: 34594181
{'hecke_orbit_code': 13510798949220403, 'n': 17, 'trace_an': -34}
-
id: 34594182
{'hecke_orbit_code': 13510798949220403, 'n': 18, 'trace_an': 0}
-
id: 34594183
{'hecke_orbit_code': 13510798949220403, 'n': 19, 'trace_an': -26}
-
id: 34594184
{'hecke_orbit_code': 13510798949220403, 'n': 20, 'trace_an': 60}
-
id: 34594185
{'hecke_orbit_code': 13510798949220403, 'n': 21, 'trace_an': 24}
-
id: 34594186
{'hecke_orbit_code': 13510798949220403, 'n': 22, 'trace_an': -144}
-
id: 34594187
{'hecke_orbit_code': 13510798949220403, 'n': 23, 'trace_an': -198}
-
id: 34594188
{'hecke_orbit_code': 13510798949220403, 'n': 24, 'trace_an': 0}
-
id: 34594189
{'hecke_orbit_code': 13510798949220403, 'n': 25, 'trace_an': 344}
-
id: 34594190
{'hecke_orbit_code': 13510798949220403, 'n': 26, 'trace_an': -288}
-
id: 34594191
{'hecke_orbit_code': 13510798949220403, 'n': 27, 'trace_an': -54}
-
id: 34594192
{'hecke_orbit_code': 13510798949220403, 'n': 28, 'trace_an': -80}
-
id: 34594193
{'hecke_orbit_code': 13510798949220403, 'n': 29, 'trace_an': 444}
-
id: 34594194
{'hecke_orbit_code': 13510798949220403, 'n': 30, 'trace_an': -432}
-
id: 34594195
{'hecke_orbit_code': 13510798949220403, 'n': 31, 'trace_an': 532}
-
id: 34594196
{'hecke_orbit_code': 13510798949220403, 'n': 32, 'trace_an': 0}
-
id: 34594197
{'hecke_orbit_code': 13510798949220403, 'n': 33, 'trace_an': -198}
-
id: 34594198
{'hecke_orbit_code': 13510798949220403, 'n': 34, 'trace_an': 0}
-
id: 34594199
{'hecke_orbit_code': 13510798949220403, 'n': 35, 'trace_an': -600}
-
id: 34594200
{'hecke_orbit_code': 13510798949220403, 'n': 36, 'trace_an': 180}
-
id: 34594201
{'hecke_orbit_code': 13510798949220403, 'n': 37, 'trace_an': 88}
-
id: 34594202
{'hecke_orbit_code': 13510798949220403, 'n': 38, 'trace_an': -576}
-
id: 34594203
{'hecke_orbit_code': 13510798949220403, 'n': 39, 'trace_an': 6}
-
id: 34594204
{'hecke_orbit_code': 13510798949220403, 'n': 40, 'trace_an': 288}
-
id: 34594205
{'hecke_orbit_code': 13510798949220403, 'n': 41, 'trace_an': 570}
-
id: 34594206
{'hecke_orbit_code': 13510798949220403, 'n': 42, 'trace_an': 432}
-
id: 34594207
{'hecke_orbit_code': 13510798949220403, 'n': 43, 'trace_an': -182}
-
id: 34594208
{'hecke_orbit_code': 13510798949220403, 'n': 44, 'trace_an': 660}
-
id: 34594209
{'hecke_orbit_code': 13510798949220403, 'n': 45, 'trace_an': 54}
-
id: 34594210
{'hecke_orbit_code': 13510798949220403, 'n': 46, 'trace_an': -144}
-
id: 34594211
{'hecke_orbit_code': 13510798949220403, 'n': 47, 'trace_an': 420}
-
id: 34594212
{'hecke_orbit_code': 13510798949220403, 'n': 48, 'trace_an': 264}
-
id: 34594213
{'hecke_orbit_code': 13510798949220403, 'n': 49, 'trace_an': -78}
-
id: 34594214
{'hecke_orbit_code': 13510798949220403, 'n': 50, 'trace_an': 864}
-
id: 34594215
{'hecke_orbit_code': 13510798949220403, 'n': 51, 'trace_an': 102}
-
id: 34594216
{'hecke_orbit_code': 13510798949220403, 'n': 52, 'trace_an': -20}
-
id: 34594217
{'hecke_orbit_code': 13510798949220403, 'n': 53, 'trace_an': -300}
-
id: 34594218
{'hecke_orbit_code': 13510798949220403, 'n': 54, 'trace_an': 0}
-
id: 34594219
{'hecke_orbit_code': 13510798949220403, 'n': 55, 'trace_an': -378}
-
id: 34594220
{'hecke_orbit_code': 13510798949220403, 'n': 56, 'trace_an': -288}
-
id: 34594221
{'hecke_orbit_code': 13510798949220403, 'n': 57, 'trace_an': 78}
-
id: 34594222
{'hecke_orbit_code': 13510798949220403, 'n': 58, 'trace_an': -576}
-
id: 34594223
{'hecke_orbit_code': 13510798949220403, 'n': 59, 'trace_an': 444}
-
id: 34594224
{'hecke_orbit_code': 13510798949220403, 'n': 60, 'trace_an': -180}
-
id: 34594225
{'hecke_orbit_code': 13510798949220403, 'n': 61, 'trace_an': 400}
-
id: 34594226
{'hecke_orbit_code': 13510798949220403, 'n': 62, 'trace_an': 288}
-
id: 34594227
{'hecke_orbit_code': 13510798949220403, 'n': 63, 'trace_an': -72}
-
id: 34594228
{'hecke_orbit_code': 13510798949220403, 'n': 64, 'trace_an': -1456}
-
id: 34594229
{'hecke_orbit_code': 13510798949220403, 'n': 65, 'trace_an': -1158}
-
id: 34594230
{'hecke_orbit_code': 13510798949220403, 'n': 66, 'trace_an': 432}
-
id: 34594231
{'hecke_orbit_code': 13510798949220403, 'n': 67, 'trace_an': -968}
-
id: 34594232
{'hecke_orbit_code': 13510798949220403, 'n': 68, 'trace_an': -340}
-
id: 34594233
{'hecke_orbit_code': 13510798949220403, 'n': 69, 'trace_an': 594}
-
id: 34594234
{'hecke_orbit_code': 13510798949220403, 'n': 70, 'trace_an': -1008}
-
id: 34594235
{'hecke_orbit_code': 13510798949220403, 'n': 71, 'trace_an': -1848}
-
id: 34594236
{'hecke_orbit_code': 13510798949220403, 'n': 72, 'trace_an': 0}
-
id: 34594237
{'hecke_orbit_code': 13510798949220403, 'n': 73, 'trace_an': 868}
-
id: 34594238
{'hecke_orbit_code': 13510798949220403, 'n': 74, 'trace_an': 2304}
-
id: 34594239
{'hecke_orbit_code': 13510798949220403, 'n': 75, 'trace_an': -1032}
-
id: 34594240
{'hecke_orbit_code': 13510798949220403, 'n': 76, 'trace_an': -260}
-
id: 34594241
{'hecke_orbit_code': 13510798949220403, 'n': 77, 'trace_an': 312}
-
id: 34594242
{'hecke_orbit_code': 13510798949220403, 'n': 78, 'trace_an': 864}
-
id: 34594243
{'hecke_orbit_code': 13510798949220403, 'n': 79, 'trace_an': 508}
-
id: 34594244
{'hecke_orbit_code': 13510798949220403, 'n': 80, 'trace_an': -264}
-
id: 34594245
{'hecke_orbit_code': 13510798949220403, 'n': 81, 'trace_an': 162}
-
id: 34594246
{'hecke_orbit_code': 13510798949220403, 'n': 82, 'trace_an': -1296}
-
id: 34594247
{'hecke_orbit_code': 13510798949220403, 'n': 83, 'trace_an': 996}
-
id: 34594248
{'hecke_orbit_code': 13510798949220403, 'n': 84, 'trace_an': 240}
-
id: 34594249
{'hecke_orbit_code': 13510798949220403, 'n': 85, 'trace_an': -102}
-
id: 34594250
{'hecke_orbit_code': 13510798949220403, 'n': 86, 'trace_an': 576}
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