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mf_newforms • Show schema
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{'Nk2': 12600, 'analytic_conductor': 25.152876636703322, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 15, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 4, 'char_parity': 1, 'char_values': [3150, 4, [2801, 127, 451], [2, 1, 4]], 'cm_discs': [], 'conrey_index': 1457, 'conrey_indexes': [1457, 2843], 'dim': 8, 'field_disc': 5308416, 'field_disc_factorization': [[2, 16], [3, 4]], 'field_poly': [1, 0, 0, 0, -1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 24, 'has_non_self_twist': 1, 'hecke_cutters': [[11, [4, 0, 12, 0, 1]], [13, [1, -40, 800, 72, 2, 24, 32, 8, 1]], [17, [2209, 4512, 4608, 2496, 770, 96, 0, 0, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27022422431501390, 'hecke_ring_generator_nbound': 17, 'hecke_ring_index': 16, 'hecke_ring_index_factorization': [[2, 4]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 15, 5, 1, 4, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '3150.2.m.g', 'level': 3150, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'minimal_twist': '3150.2.m.g', 'nf_label': '8.0.5308416.1', 'prim_orbit_index': 5, 'qexp_display': 'q-\\zeta_{24}^{5}q^{2}-\\zeta_{24}^{3}q^{4}+\\zeta_{24}q^{7}+\\zeta_{24}q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3150.2.m', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1693814056120079109, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.993', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 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mf_hecke_cc • Show schema
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{'Nk2': 12600, 'analytic_conductor': 25.152876636703322, 'char_conductor': 15, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 4, 'char_parity': 1, 'char_values': [3150, 4, [2801, 127, 451], [2, 1, 4]], 'conrey_index': 1457, 'cusp_dim': 1344, 'dim': 72, 'eis_dim': 192, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 17], 'hecke_orbit_code': 824667278414, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8], 'label': '3150.2.m', 'level': 3150, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 1536, 'mf_new_dim': 72, 'num_forms': 12, 'prim_orbit_index': 5, 'relative_dim': 36, 'sturm_bound': 1440, 'trace_bound': 14, 'trace_display': [0, 0, 0, 0], 'traces': [72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, -72, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 32, 0, 0, 64, 0, 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mf_twists_cc • Show schema
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id: 45906391
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 2843, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27022422431501390, 'source_is_minimal': True, 'source_label': '3150.2.m.g.2843.3', 'source_level': 3150, 'target_conrey_index': 2843, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27022422431501390, 'target_is_minimal': True, 'target_label': '3150.2.m.g.2843.3', 'target_level': 3150, 'twist_class_label': '3150.2.m.g.1457.3', 'twist_class_level': 3150, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45906392
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 2843, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27022422431501390, 'source_is_minimal': True, 'source_label': '3150.2.m.g.2843.3', 'source_level': 3150, 'target_conrey_index': 2843, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31526022058871886, 'target_is_minimal': True, 'target_label': '3150.2.m.h.2843.1', 'target_level': 3150, 'twist_class_label': '3150.2.m.g.1457.3', 'twist_class_level': 3150, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45906393
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 2843, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27022422431501390, 'source_is_minimal': True, 'source_label': '3150.2.m.g.2843.3', 'source_level': 3150, 'target_conrey_index': 1457, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31526022058871886, 'target_is_minimal': True, 'target_label': '3150.2.m.h.1457.1', 'target_level': 3150, 'twist_class_label': '3150.2.m.g.1457.3', 'twist_class_level': 3150, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45906394
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 2843, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27022422431501390, 'source_is_minimal': True, 'source_label': '3150.2.m.g.2843.3', 'source_level': 3150, 'target_conrey_index': 1457, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 49540420568353870, 'target_is_minimal': True, 'target_label': '3150.2.m.l.1457.4', 'target_level': 3150, 'twist_class_label': '3150.2.m.g.1457.3', 'twist_class_level': 3150, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45906395
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 2843, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27022422431501390, 'source_is_minimal': True, 'source_label': '3150.2.m.g.2843.3', 'source_level': 3150, 'target_conrey_index': 2843, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45036820940983374, 'target_is_minimal': True, 'target_label': '3150.2.m.k.2843.2', 'target_level': 3150, 'twist_class_label': '3150.2.m.g.1457.3', 'twist_class_level': 3150, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45906396
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 2843, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27022422431501390, 'source_is_minimal': True, 'source_label': '3150.2.m.g.2843.3', 'source_level': 3150, 'target_conrey_index': 1457, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27022422431501390, 'target_is_minimal': True, 'target_label': '3150.2.m.g.1457.3', 'target_level': 3150, 'twist_class_label': '3150.2.m.g.1457.3', 'twist_class_level': 3150, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45906397
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 2843, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27022422431501390, 'source_is_minimal': True, 'source_label': '3150.2.m.g.2843.3', 'source_level': 3150, 'target_conrey_index': 1457, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45036820940983374, 'target_is_minimal': True, 'target_label': '3150.2.m.k.1457.2', 'target_level': 3150, 'twist_class_label': '3150.2.m.g.1457.3', 'twist_class_level': 3150, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 45906398
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 2843, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27022422431501390, 'source_is_minimal': True, 'source_label': '3150.2.m.g.2843.3', 'source_level': 3150, 'target_conrey_index': 2843, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 49540420568353870, 'target_is_minimal': True, 'target_label': '3150.2.m.l.2843.4', 'target_level': 3150, 'twist_class_label': '3150.2.m.g.1457.3', 'twist_class_level': 3150, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3030725
{'charpoly_factorization': [[[1, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 27022422431501390, 'p': 2}
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id: 3030726
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 27022422431501390, 'p': 3}
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id: 3030727
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 27022422431501390, 'p': 5}
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id: 3030728
{'charpoly_factorization': [[[1, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 27022422431501390, 'p': 7}
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id: 3030729
{'charpoly_factorization': [[[4, 0, 12, 0, 1], 2]], 'hecke_orbit_code': 27022422431501390, 'p': 11}
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id: 3030730
{'charpoly_factorization': [[[1, -40, 800, 72, 2, 24, 32, 8, 1], 1]], 'hecke_orbit_code': 27022422431501390, 'p': 13}
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id: 3030731
{'charpoly_factorization': [[[2209, 4512, 4608, 2496, 770, 96, 0, 0, 1], 1]], 'hecke_orbit_code': 27022422431501390, 'p': 17}
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id: 3030732
{'charpoly_factorization': [[[100, 0, 28, 0, 1], 2]], 'hecke_orbit_code': 27022422431501390, 'p': 19}
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id: 3030733
{'charpoly_factorization': [[[529, -1840, 3200, 1392, 530, -432, 128, -16, 1], 1]], 'hecke_orbit_code': 27022422431501390, 'p': 23}
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id: 3030734
{'charpoly_factorization': [[[337, 96, -58, 0, 1], 2]], 'hecke_orbit_code': 27022422431501390, 'p': 29}
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id: 3030735
{'charpoly_factorization': [[[457, -192, -82, 0, 1], 2]], 'hecke_orbit_code': 27022422431501390, 'p': 31}
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id: 3030736
{'charpoly_factorization': [[[256, 5120, 51200, -2304, 32, -192, 128, -16, 1], 1]], 'hecke_orbit_code': 27022422431501390, 'p': 37}
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id: 3030737
{'charpoly_factorization': [[[69169, 0, 78780, 0, 7094, 0, 156, 0, 1], 1]], 'hecke_orbit_code': 27022422431501390, 'p': 41}
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id: 3030738
{'charpoly_factorization': [[[5041, -30104, 89888, -21768, 2642, -24, 32, -8, 1], 1]], 'hecke_orbit_code': 27022422431501390, 'p': 43}
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id: 3030739
{'charpoly_factorization': [[[446224, 459584, 236672, 52128, 5960, 144, 32, 8, 1], 1]], 'hecke_orbit_code': 27022422431501390, 'p': 47}
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id: 3030740
{'charpoly_factorization': [[[361201, -480800, 320000, -123168, 30482, -4896, 512, -32, 1], 1]], 'hecke_orbit_code': 27022422431501390, 'p': 53}
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id: 3030741
{'charpoly_factorization': [[[-71, 148, -66, 4, 1], 2]], 'hecke_orbit_code': 27022422431501390, 'p': 59}
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id: 3030742
{'charpoly_factorization': [[[937, -448, -22, 16, 1], 2]], 'hecke_orbit_code': 27022422431501390, 'p': 61}
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id: 3030743
{'charpoly_factorization': [[[9339136, 4498432, 1083392, 131328, 9248, 576, 128, 16, 1], 1]], 'hecke_orbit_code': 27022422431501390, 'p': 67}
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id: 3030744
{'charpoly_factorization': [[[1024, 0, 128, 0, 1], 2]], 'hecke_orbit_code': 27022422431501390, 'p': 71}
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id: 3030745
{'charpoly_factorization': [[[810000, 0, 0, 0, 5256, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 27022422431501390, 'p': 73}
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id: 3030746
{'charpoly_factorization': [[[913936, 0, 1053408, 0, 31640, 0, 312, 0, 1], 1]], 'hecke_orbit_code': 27022422431501390, 'p': 79}
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id: 3030747
{'charpoly_factorization': [[[113569, 2696, 32, -3192, 3170, -504, 32, 8, 1], 1]], 'hecke_orbit_code': 27022422431501390, 'p': 83}
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id: 3030748
{'charpoly_factorization': [[[16, 224, -40, -8, 1], 2]], 'hecke_orbit_code': 27022422431501390, 'p': 89}
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id: 3030749
{'charpoly_factorization': [[[595984, -716416, 430592, 65600, 5512, -416, 128, 16, 1], 1]], 'hecke_orbit_code': 27022422431501390, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 13, 'hecke_orbit': 7, 'label': '3150.2.m.g', 'level': 3150, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 184525000
{'hecke_orbit_code': 27022422431501390, 'n': 1, 'trace_an': 8}
-
id: 184525001
{'hecke_orbit_code': 27022422431501390, 'n': 2, 'trace_an': 0}
-
id: 184525002
{'hecke_orbit_code': 27022422431501390, 'n': 3, 'trace_an': 0}
-
id: 184525003
{'hecke_orbit_code': 27022422431501390, 'n': 4, 'trace_an': 0}
-
id: 184525004
{'hecke_orbit_code': 27022422431501390, 'n': 5, 'trace_an': 0}
-
id: 184525005
{'hecke_orbit_code': 27022422431501390, 'n': 6, 'trace_an': 0}
-
id: 184525006
{'hecke_orbit_code': 27022422431501390, 'n': 7, 'trace_an': 0}
-
id: 184525007
{'hecke_orbit_code': 27022422431501390, 'n': 8, 'trace_an': 0}
-
id: 184525008
{'hecke_orbit_code': 27022422431501390, 'n': 9, 'trace_an': 0}
-
id: 184525009
{'hecke_orbit_code': 27022422431501390, 'n': 10, 'trace_an': 0}
-
id: 184525010
{'hecke_orbit_code': 27022422431501390, 'n': 11, 'trace_an': 0}
-
id: 184525011
{'hecke_orbit_code': 27022422431501390, 'n': 12, 'trace_an': 0}
-
id: 184525012
{'hecke_orbit_code': 27022422431501390, 'n': 13, 'trace_an': -8}
-
id: 184525013
{'hecke_orbit_code': 27022422431501390, 'n': 14, 'trace_an': -8}
-
id: 184525014
{'hecke_orbit_code': 27022422431501390, 'n': 15, 'trace_an': 0}
-
id: 184525015
{'hecke_orbit_code': 27022422431501390, 'n': 16, 'trace_an': -8}
-
id: 184525016
{'hecke_orbit_code': 27022422431501390, 'n': 17, 'trace_an': 0}
-
id: 184525017
{'hecke_orbit_code': 27022422431501390, 'n': 18, 'trace_an': 0}
-
id: 184525018
{'hecke_orbit_code': 27022422431501390, 'n': 19, 'trace_an': 0}
-
id: 184525019
{'hecke_orbit_code': 27022422431501390, 'n': 20, 'trace_an': 0}
-
id: 184525020
{'hecke_orbit_code': 27022422431501390, 'n': 21, 'trace_an': 0}
-
id: 184525021
{'hecke_orbit_code': 27022422431501390, 'n': 22, 'trace_an': -8}
-
id: 184525022
{'hecke_orbit_code': 27022422431501390, 'n': 23, 'trace_an': 16}
-
id: 184525023
{'hecke_orbit_code': 27022422431501390, 'n': 24, 'trace_an': 0}
-
id: 184525024
{'hecke_orbit_code': 27022422431501390, 'n': 25, 'trace_an': 0}
-
id: 184525025
{'hecke_orbit_code': 27022422431501390, 'n': 26, 'trace_an': 0}
-
id: 184525026
{'hecke_orbit_code': 27022422431501390, 'n': 27, 'trace_an': 0}
-
id: 184525027
{'hecke_orbit_code': 27022422431501390, 'n': 28, 'trace_an': 0}
-
id: 184525028
{'hecke_orbit_code': 27022422431501390, 'n': 29, 'trace_an': 0}
-
id: 184525029
{'hecke_orbit_code': 27022422431501390, 'n': 30, 'trace_an': 0}
-
id: 184525030
{'hecke_orbit_code': 27022422431501390, 'n': 31, 'trace_an': 0}
-
id: 184525031
{'hecke_orbit_code': 27022422431501390, 'n': 32, 'trace_an': 0}
-
id: 184525032
{'hecke_orbit_code': 27022422431501390, 'n': 33, 'trace_an': 0}
-
id: 184525033
{'hecke_orbit_code': 27022422431501390, 'n': 34, 'trace_an': 0}
-
id: 184525034
{'hecke_orbit_code': 27022422431501390, 'n': 35, 'trace_an': 0}
-
id: 184525035
{'hecke_orbit_code': 27022422431501390, 'n': 36, 'trace_an': 0}
-
id: 184525036
{'hecke_orbit_code': 27022422431501390, 'n': 37, 'trace_an': 16}
-
id: 184525037
{'hecke_orbit_code': 27022422431501390, 'n': 38, 'trace_an': 8}
-
id: 184525038
{'hecke_orbit_code': 27022422431501390, 'n': 39, 'trace_an': 0}
-
id: 184525039
{'hecke_orbit_code': 27022422431501390, 'n': 40, 'trace_an': 0}
-
id: 184525040
{'hecke_orbit_code': 27022422431501390, 'n': 41, 'trace_an': 0}
-
id: 184525041
{'hecke_orbit_code': 27022422431501390, 'n': 42, 'trace_an': 0}
-
id: 184525042
{'hecke_orbit_code': 27022422431501390, 'n': 43, 'trace_an': 8}
-
id: 184525043
{'hecke_orbit_code': 27022422431501390, 'n': 44, 'trace_an': 16}
-
id: 184525044
{'hecke_orbit_code': 27022422431501390, 'n': 45, 'trace_an': 0}
-
id: 184525045
{'hecke_orbit_code': 27022422431501390, 'n': 46, 'trace_an': 8}
-
id: 184525046
{'hecke_orbit_code': 27022422431501390, 'n': 47, 'trace_an': -8}
-
id: 184525047
{'hecke_orbit_code': 27022422431501390, 'n': 48, 'trace_an': 0}
-
id: 184525048
{'hecke_orbit_code': 27022422431501390, 'n': 49, 'trace_an': 0}
-
id: 184525049
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