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mf_newforms • Show schema
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{'Nk2': 744, 'analytic_conductor': 1.4852174775958151, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 93, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [186, 2, [125, 127], [1, 1]], 'cm_discs': [], 'conrey_index': 185, 'dim': 8, 'field_disc': 40282095616, 'field_disc_factorization': [[2, 24], [7, 4]], 'field_poly': [81, 0, -36, 0, 8, 0, -4, 0, 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, [4, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503737099878586, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 31, 2, -1, 2, 0], [1, 1, 93, 3, 1, 2, 0]], 'is_cm': False, 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mf_hecke_cc • Show schema
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'embedding_index': 8, 'embedding_m': 8, 'embedding_root_imag': -1.39119170019573, 'embedding_root_real': -1.0317876008687614, 'hecke_orbit': 2, 'hecke_orbit_code': 4503737099878586, 'label': '186.2.c.b.185.8', 'level': 186, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 744, 'analytic_conductor': 1.4852174775958151, 'char_conductor': 93, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [186, 2, [125, 127], [1, 1]], 'conrey_index': 185, 'cusp_dim': 28, 'dim': 12, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 137472508090, 'hecke_orbit_dims': [4, 8], 'label': '186.2.c', 'level': 186, '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, 31], 'level_radical': 186, 'mf_dim': 36, 'mf_new_dim': 12, 'num_forms': 2, 'prim_orbit_index': 3, 'relative_dim': 12, 'sturm_bound': 64, 'trace_bound': 1, 'trace_display': [0, 0, 0, 8], 'traces': [12, 0, 0, -12, 0, 0, 8, 0, 4, -4, 0, 0, 0, 0, 0, 12, 0, -8, -20, 0, 0, 0, 0, 0, -8, 0, 0, -8, 0, 0, 0, 0, 12, 0, 0, -4, 0, 0, 8, 4, 0, 0, 0, 0, -16, 0, 0, 0, 44, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, -12, 0, 16, -60, 0, -64, 24, 0, 8, 0, 0, 0, 20, 0, -20, 0, 0, 36, 8, 0, 0, 0, 0, 16, 0, 0, 52, 0, 0, 40, -4, 0, 0, -12, 0, 0, 8, 0, -16, -48, 0, 0, 0, 0, 0, 72, 0, -96, 8, 0, 0, 0, 0, 0, -24, 0, 0, 8, 0, 0, 0, 0, 56, 0, 0, 88, 0, 0, -12, -40, 0, 0, 0, 0, -48, 0, 0, 0, 36, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, 0, -32, -4, 0, -40, 12, 0, 32, 0, 0, 0, 16, 0, -60, 0, 0, -40, -32, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -12, 108, 0, 0, -60, 0, 0, 108, 0, 140, -44, 0, 0, 0, 0, 0, 8, 0, -20, -104, 0, 0, 0, 0, 0, 16, 0, 0, -120, 0, 0, -96, 0, 48, 0, 0, -24, 0, 0, -56, 0, 0, 0, 0, 0, -80, 0, 0, 0, 172, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -92, -84, 0, 32, -112, 0, -32, 12, 0, 136, 0, 0, 0, 104, 0, -16, 0, 0, 96, 60, 0, 0, 0, 0, -56, 0, 0, 64, 0, 0, 88, -24, 0, 0, 132, 0, 0, 84, 0, -8, -64, 0, 0, 0, 0, 0, 72, 0, -100, 116, 0, 0, 0, 0, 0, -20, 0, 0, -16, 0, 0, 40, 0, 20, 0, 0, 112, 0, 0, -48, -256, 0, 0, 0, 0, -36, 0, 0, 0, -8, 0, -84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, -96, 44, 0, -16, 48, 0, 64, 0, 0, 0, 132, 0, -136, 0, 0, -52, -128, 0, 0, 0, 0, 92, 0, 0, 40, 0, 0, -40, 64, 0, 0, 4, 0, 0, -28, 0, 144, -192, 0, 0, 0, 0, 0, 12, 0, -16, -16, 0, 0, 0, 0, 0, 104, 0, 0, -8, 0, 0, -156, 0, -80, 0, 0, 16, 0, 0, -16, 48, 0, 0, 0, 0, 32, 0, 0, 0, -32, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, -72, 0, 56, -24, 0, -92, 100, 0, 96, 0, 0, 0, -8, 0, -8, 0, 0, 80, 72, 0, 0, 0, 0, -84, 0, 0, 168, 0, 0, 156, 32, 0, 0, 232, 0, 0, 24, 0, -84, 80, 0, 0, 0, 0, 0, 48, 0, -96, -8, 0, 0, 0, 0, 0, -148, 0, 0, -176, 0, 0, 0, 0, 152, 0, 0, 192, 0, 0, -56, -104, 0, 0, 0, 0, -100, 0, 0, 0, -16, 0, -88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 172, 0, -112, 40, 0, -80, -120, 0, 52, 0, 0, 0, -56, 0, -120, 0, 0, -128, 128, 0, 0, 0, 0, 48, 0, 0, -48, 0, 0, -48, 88, 0, 0, -8, 0, 0, 240, 0, 296, -36, 0, 0, 0, 0, 0, -64, 0, -4, -116, 0, 0, 0, 0, 0, 136, 0, 0, -248, 0, 0, -40, 0, -96, 0, 0, -152, 0, 0, -48, 112, 0, 0, 0, 0, -36, 0, 0, 0, 88, 0, 152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, -148, 0, 8, -268, 0, 60, 8, 0, 184, 0, 0, 0, 60, 0, 32, 0, 0, 160, 4, 0, 0, 0, 0, -88, 0, 0, 40, 0, 0, 0, -12, 0, 0, -152, 0, 0, 40, 0, -32, 40, 0, 0, 0, 0, 0, 96, 0, 48, 140, 0, 0, 0, 0, 0, -16, 0, 0, 248, 0, 0, 52, 0, 60, 0, 0, 32, 0, 0, -112, -244, 0, 0, 0, 0, 40, 0, 0, 0, 32, 0, -132, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, -12, 0, -64, 284, 0, -16, 160, 0, -160, 0, 0, 0, 8, 0, -44, 0, 0, 0, -152, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 12, 52, 0, 0, -108, 0, 0, -96, 0, 16, -208, 0, 0, 0, 0, 0, 60, 0, -8, -336, 0, 0, 0, 0, 0, -72, 0, 0, -108, 0, 0, -40, 0, -168, 0, 0, -140, 0, 0, 248, 44, 0, 0, 0, 0, 24, 0, 0, 0, -4, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -184, -8, 0, 108, -80, 0, -160, 96, 0, 20, 0, 0, 0, 104, 0, 64, 0, 0, 72, 176, 0, 0, 0, 0, -56, 0, 0, 192, 0, 0, 40, -168, 0, 0, 196, 0, 0, -16, 0, -196, 48, 0, 0, 0, 0, 0, 144, 0, 0, 120, 0, 0, 0, 0, 0, -160, 0, 0, 268, 0, 0, 96, 0, 208, 0, 0, 228, 0, 0, -48, -200, 0, 0, 0, 0, -56, 0, 0, 0, 112, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 232, 0, -56, 0, 0, -28, -236, 0, -240, 0, 0, 0, -4, 0, 4, 0, 0, -128, -160, 0, 0, 0, 0, 80, 0, 0, -192, 0, 0, -80, 60, 0, 0, -104, 0, 0, -92, 0, 208, -172, 0, 0, 0, 0, 0, 8, 0, -32, 248, 0, 0, 0, 0, 0, 96, 0, 0, -52, 0, 0, -100, 0, 16, 0, 0, -224, 0, 0, 60, 364, 0, 0, 0, 0, 8, 0, 0, 0, -16, 0, 376, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160, -248, 0, 92, -224, 0, 72, 84], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 34671624
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 185, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 4503737099878586, 'source_is_minimal': True, 'source_label': '186.2.c.b.185.8', 'source_level': 186, 'target_conrey_index': 185, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 4503737099878586, 'target_is_minimal': True, 'target_label': '186.2.c.b.185.8', 'target_level': 186, 'twist_class_label': '186.2.c.b.185.1', 'twist_class_level': 186, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 34671625
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 185, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 4503737099878586, 'source_is_minimal': True, 'source_label': '186.2.c.b.185.8', 'source_level': 186, 'target_conrey_index': 185, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737099878586, 'target_is_minimal': True, 'target_label': '186.2.c.b.185.1', 'target_level': 186, 'twist_class_label': '186.2.c.b.185.1', 'twist_class_level': 186, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 34671626
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 185, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 4503737099878586, 'source_is_minimal': True, 'source_label': '186.2.c.b.185.8', 'source_level': 186, 'target_conrey_index': 929, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007680324634064, 'target_is_minimal': False, 'target_label': '1488.2.h.c.929.1', 'target_level': 1488, 'twist_class_label': '186.2.c.b.185.1', 'twist_class_level': 186, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 34671627
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 185, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 4503737099878586, 'source_is_minimal': True, 'source_label': '186.2.c.b.185.8', 'source_level': 186, 'target_conrey_index': 929, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 9007680324634064, 'target_is_minimal': False, 'target_label': '1488.2.h.c.929.7', 'target_level': 1488, 'twist_class_label': '186.2.c.b.185.1', 'twist_class_level': 186, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 34671628
{'conductor': 31, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 185, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 4503737099878586, 'source_is_minimal': True, 'source_label': '186.2.c.b.185.8', 'source_level': 186, 'target_conrey_index': 185, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 4503737099878586, 'target_is_minimal': True, 'target_label': '186.2.c.b.185.5', 'target_level': 186, 'twist_class_label': '186.2.c.b.185.1', 'twist_class_level': 186, 'twisting_char_label': '31.30', 'twisting_conrey_index': 30, 'weight': 2}
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id: 34671629
{'conductor': 93, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 185, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 4503737099878586, 'source_is_minimal': True, 'source_label': '186.2.c.b.185.8', 'source_level': 186, 'target_conrey_index': 185, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4503737099878586, 'target_is_minimal': True, 'target_label': '186.2.c.b.185.4', 'target_level': 186, 'twist_class_label': '186.2.c.b.185.1', 'twist_class_level': 186, 'twisting_char_label': '93.92', 'twisting_conrey_index': 92, 'weight': 2}
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id: 34671630
{'conductor': 124, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 185, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 4503737099878586, 'source_is_minimal': True, 'source_label': '186.2.c.b.185.8', 'source_level': 186, 'target_conrey_index': 929, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 9007680324634064, 'target_is_minimal': False, 'target_label': '1488.2.h.c.929.8', 'target_level': 1488, 'twist_class_label': '186.2.c.b.185.1', 'twist_class_level': 186, 'twisting_char_label': '124.123', 'twisting_conrey_index': 123, 'weight': 2}
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id: 34671631
{'conductor': 372, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 185, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 4503737099878586, 'source_is_minimal': True, 'source_label': '186.2.c.b.185.8', 'source_level': 186, 'target_conrey_index': 929, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007680324634064, 'target_is_minimal': False, 'target_label': '1488.2.h.c.929.2', 'target_level': 1488, 'twist_class_label': '186.2.c.b.185.1', 'twist_class_level': 186, 'twisting_char_label': '372.371', 'twisting_conrey_index': 371, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 469000
{'charpoly_factorization': [[[1, 0, 1], 4]], 'hecke_orbit_code': 4503737099878586, 'p': 2}
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id: 469001
{'charpoly_factorization': [[[81, 0, 36, 0, 8, 0, 4, 0, 1], 1]], 'hecke_orbit_code': 4503737099878586, 'p': 3}
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id: 469002
{'charpoly_factorization': [[[4, 0, 1], 4]], 'hecke_orbit_code': 4503737099878586, 'p': 5}
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id: 469003
{'charpoly_factorization': [[[-14, 0, 1], 4]], 'hecke_orbit_code': 4503737099878586, 'p': 7}
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id: 469004
{'charpoly_factorization': [[[242, 0, -32, 0, 1], 2]], 'hecke_orbit_code': 4503737099878586, 'p': 11}
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id: 469005
{'charpoly_factorization': [[[2, 0, 8, 0, 1], 2]], 'hecke_orbit_code': 4503737099878586, 'p': 13}
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id: 469006
{'charpoly_factorization': [[[32, 0, -32, 0, 1], 2]], 'hecke_orbit_code': 4503737099878586, 'p': 17}
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id: 469007
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4503737099878586, 'p': 19}
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id: 469008
{'charpoly_factorization': [[[128, 0, -64, 0, 1], 2]], 'hecke_orbit_code': 4503737099878586, 'p': 23}
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id: 469009
{'charpoly_factorization': [[[1250, 0, -88, 0, 1], 2]], 'hecke_orbit_code': 4503737099878586, 'p': 29}
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id: 469010
{'charpoly_factorization': [[[961, 124, 10, 4, 1], 2]], 'hecke_orbit_code': 4503737099878586, 'p': 31}
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id: 469011
{'charpoly_factorization': [[[4050, 0, 144, 0, 1], 2]], 'hecke_orbit_code': 4503737099878586, 'p': 37}
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id: 469012
{'charpoly_factorization': [[[100, 0, 36, 0, 1], 2]], 'hecke_orbit_code': 4503737099878586, 'p': 41}
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id: 469013
{'charpoly_factorization': [[[4418, 0, 184, 0, 1], 2]], 'hecke_orbit_code': 4503737099878586, 'p': 43}
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id: 469014
{'charpoly_factorization': [[[4, 0, 60, 0, 1], 2]], 'hecke_orbit_code': 4503737099878586, 'p': 47}
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id: 469015
{'charpoly_factorization': [[[338, 0, -64, 0, 1], 2]], 'hecke_orbit_code': 4503737099878586, 'p': 53}
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id: 469016
{'charpoly_factorization': [[[56, 0, 1], 4]], 'hecke_orbit_code': 4503737099878586, 'p': 59}
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id: 469017
{'charpoly_factorization': [[[2450, 0, 112, 0, 1], 2]], 'hecke_orbit_code': 4503737099878586, 'p': 61}
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id: 469018
{'charpoly_factorization': [[[8, 16, 1], 4]], 'hecke_orbit_code': 4503737099878586, 'p': 67}
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id: 469019
{'charpoly_factorization': [[[400, 0, 184, 0, 1], 2]], 'hecke_orbit_code': 4503737099878586, 'p': 71}
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id: 469020
{'charpoly_factorization': [[[128, 0, 64, 0, 1], 2]], 'hecke_orbit_code': 4503737099878586, 'p': 73}
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id: 469021
{'charpoly_factorization': [[[3872, 0, 128, 0, 1], 2]], 'hecke_orbit_code': 4503737099878586, 'p': 79}
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id: 469022
{'charpoly_factorization': [[[40898, 0, -424, 0, 1], 2]], 'hecke_orbit_code': 4503737099878586, 'p': 83}
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id: 469023
{'charpoly_factorization': [[[3200, 0, -128, 0, 1], 2]], 'hecke_orbit_code': 4503737099878586, 'p': 89}
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id: 469024
{'charpoly_factorization': [[[86, 20, 1], 4]], 'hecke_orbit_code': 4503737099878586, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 3, 'hecke_orbit': 2, 'label': '186.2.c.b', 'level': 186, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 20927389
{'hecke_orbit_code': 4503737099878586, 'n': 1, 'trace_an': 8}
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id: 20927390
{'hecke_orbit_code': 4503737099878586, 'n': 2, 'trace_an': 0}
-
id: 20927391
{'hecke_orbit_code': 4503737099878586, 'n': 3, 'trace_an': 0}
-
id: 20927392
{'hecke_orbit_code': 4503737099878586, 'n': 4, 'trace_an': -8}
-
id: 20927393
{'hecke_orbit_code': 4503737099878586, 'n': 5, 'trace_an': 0}
-
id: 20927394
{'hecke_orbit_code': 4503737099878586, 'n': 6, 'trace_an': 0}
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id: 20927395
{'hecke_orbit_code': 4503737099878586, 'n': 7, 'trace_an': 0}
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id: 20927396
{'hecke_orbit_code': 4503737099878586, 'n': 8, 'trace_an': 0}
-
id: 20927397
{'hecke_orbit_code': 4503737099878586, 'n': 9, 'trace_an': -8}
-
id: 20927398
{'hecke_orbit_code': 4503737099878586, 'n': 10, 'trace_an': -16}
-
id: 20927399
{'hecke_orbit_code': 4503737099878586, 'n': 11, 'trace_an': 0}
-
id: 20927400
{'hecke_orbit_code': 4503737099878586, 'n': 12, 'trace_an': 0}
-
id: 20927401
{'hecke_orbit_code': 4503737099878586, 'n': 13, 'trace_an': 0}
-
id: 20927402
{'hecke_orbit_code': 4503737099878586, 'n': 14, 'trace_an': 0}
-
id: 20927403
{'hecke_orbit_code': 4503737099878586, 'n': 15, 'trace_an': 0}
-
id: 20927404
{'hecke_orbit_code': 4503737099878586, 'n': 16, 'trace_an': 8}
-
id: 20927405
{'hecke_orbit_code': 4503737099878586, 'n': 17, 'trace_an': 0}
-
id: 20927406
{'hecke_orbit_code': 4503737099878586, 'n': 18, 'trace_an': -8}
-
id: 20927407
{'hecke_orbit_code': 4503737099878586, 'n': 19, 'trace_an': 0}
-
id: 20927408
{'hecke_orbit_code': 4503737099878586, 'n': 20, 'trace_an': 0}
-
id: 20927409
{'hecke_orbit_code': 4503737099878586, 'n': 21, 'trace_an': 0}
-
id: 20927410
{'hecke_orbit_code': 4503737099878586, 'n': 22, 'trace_an': 0}
-
id: 20927411
{'hecke_orbit_code': 4503737099878586, 'n': 23, 'trace_an': 0}
-
id: 20927412
{'hecke_orbit_code': 4503737099878586, 'n': 24, 'trace_an': 0}
-
id: 20927413
{'hecke_orbit_code': 4503737099878586, 'n': 25, 'trace_an': 8}
-
id: 20927414
{'hecke_orbit_code': 4503737099878586, 'n': 26, 'trace_an': 0}
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