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mf_newforms • Show schema
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{'Nk2': 4760, 'analytic_conductor': 9.502197840532366, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 2, 'char_parity': 1, 'char_values': [1190, 2, [477, 171, 71], [1, 2, 2]], 'cm_discs': [], 'conrey_index': 239, 'dim': 14, 'field_disc': -3121721176950929883136, 'field_disc_factorization': [[-1, 1], [2, 18], [2887, 2], [37799, 2]], 'field_poly': [16, 0, 1856, 0, 4360, 0, 3664, 0, 1457, 0, 292, 0, 28, 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': [[3, [16, 0, 1856, 0, 4360, 0, 3664, 0, 1457, 0, 292, 0, 28, 0, 1]], [13, [9437184, 0, 12722176, 0, 5785744, 0, 1087472, 0, 100792, 0, 4832, 0, 113, 0, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021872675685542, 'hecke_ring_generator_nbound': 5, '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, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1190.2.e.g', 'level': 1190, '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, 5, 7, 17], 'level_radical': 1190, 'minimal_twist': '1190.2.e.g', 'prim_orbit_index': 2, 'qexp_display': 'q-\\beta _{8}q^{2}+\\beta _{1}q^{3}-q^{4}+\\beta _{11}q^{5}+\\beta _{6}q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 14, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1190.2.e', 'trace_display': [0, 0, -2, 0], 'trace_hash': 282863550893549197, 'trace_moments': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 4760, 'analytic_conductor': 9.502197840532366, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 2, 'char_parity': 1, 'char_values': [1190, 2, [477, 171, 71], [1, 2, 2]], 'conrey_index': 239, 'cusp_dim': 208, 'dim': 48, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 13], 'hecke_orbit_code': 274911462566, 'hecke_orbit_dims': [2, 2, 4, 4, 10, 12, 14], 'label': '1190.2.e', 'level': 1190, '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, 5, 7, 17], 'level_radical': 1190, 'mf_dim': 224, 'mf_new_dim': 48, 'num_forms': 7, 'prim_orbit_index': 2, 'relative_dim': 48, 'sturm_bound': 432, 'trace_bound': 14, 'trace_display': [0, 0, -8, 0], 'traces': [48, 0, 0, -48, -8, 0, 0, 0, -32, 0, -8, 0, 0, 8, -16, 48, 0, 0, 16, 8, 0, 0, 0, 0, 8, 0, 0, 0, 40, -32, -48, 0, 0, 0, -8, 32, 0, 0, 16, 0, 0, 0, 0, 8, -16, -16, 0, 0, -48, 8, -8, 0, 0, 48, 16, -8, 0, 0, 48, 16, 16, 0, 0, -48, -48, 32, 0, 0, -80, 0, 64, 0, 0, 8, -40, -16, 0, 0, 0, -8, 96, 0, 0, 0, -8, 8, 0, 0, -104, -40, -8, 0, 0, -8, -24, 0, 0, 0, 88, -8, 8, 0, 0, 0, -24, 16, 0, 0, 24, -72, 96, 0, 0, 0, 32, -40, 0, 0, 0, 32, 40, 0, 0, 48, 16, -24, 0, 0, -64, -8, 32, 0, 0, 24, 16, 0, 0, 0, -16, 8, 80, 0, 0, -32, 16, 16, 0, 0, 64, -24, -40, 0, 0, -16, -40, -16, 0, 0, -144, 0, 8, 0, 0, 0, -40, -8, 0, 0, -72, 0, 8, 0, 0, 24, -8, -8, 0, 0, -112, 16, 0, 0, 0, 16, -56, 72, 0, 0, 0, 48, 8, 0, 0, -32, -40, 48, 0, 0, 176, -8, -16, 0, 0, 8, 32, 48, 0, 0, 96, -8, -40, 0, 0, 40, 80, -48, 0, 0, -56, -16, -24, 0, 0, 8, 72, -32, 0, 0, 88, 16, 0, 0, 0, -56, -80, -48, 0, 0, -24, -16, -16, 0, 0, -16, 8, -16, 0, 0, 176, -72, -136, 0, 0, 24, 0, 48, 0, 0, -24, 48, -40, 0, 0, -32, -80, -40, 0, 0, 48, 120, -128, 0, 0, 48, 0, 80, 0, 0, -96, 0, -16, 0, 0, -64, 128, -112, 0, 0, -48, 32, 136, 0, 0, 0, -24, -8, 0, 0, 32, 40, 0, 0, 0, 16, 144, 0, 0, 0, -160, 40, 0, 0, 0, 24, 80, 0, 0, 0, 48, 8, -16, 0, 0, -96, 48, -168, 0, 0, 64, -8, -72, 0, 0, 64, 48, 0, 0, 0, -104, 8, 176, 0, 0, -8, -112, 64, 0, 0, 8, 16, -128, 0, 0, 0, -16, 104, 0, 0, -136, 40, -96, 0, 0, 8, -144, -8, 0, 0, -16, -96, -16, 0, 0, -8, -16, 8, 0, 0, 280, 24, -144, 0, 0, 0, -24, 48, 0, 0, 48, 64, 80, 0, 0, -56, 120, -88, 0, 0, -16, 8, -80, 0, 0, -8, 128, 16, 0, 0, -24, 8, 208, 0, 0, 16, 24, 0, 0, 0, 272, 24, -128, 0, 0, -16, -16, -248, 0, 0, -48, -64, -192, 0, 0, -16, -8, -24, 0, 0, 224, 72, 32, 0, 0, -96, 0, -40, 0, 0, 0, -24, 0, 0, 0, 48, -40, 0, 0, 0, 8, -32, -24, 0, 0, 40, 240, 48, 0, 0, 64, 32, 48, 0, 0, 224, 64, 0, 0, 0, -112, -32, -256, 0, 0, -40, 48, -224, 0, 0, 64, 0, -8, 0, 0, 8, 80, -48, 0, 0, 8, -16, -304, 0, 0, 24, -96, 160, 0, 0, -8, 32, -48, 0, 0, 144, -184, 64, 0, 0, -96, 8, -112, 0, 0, -32, -88, 24, 0, 0, -8, 48, -136, 0, 0, 80, -16, -24, 0, 0, 8, -16, 40, 0, 0, 0, -32, 96, 0, 0, 96, -56, 80, 0, 0, 40, -8, 16, 0, 0, 48, -8, 16, 0, 0, -80, 72, -16, 0, 0, 192, -136, 88, 0, 0, 0, 112, 32, 0, 0, 80, -16, -8, 0, 0, -16, 304, 192, 0, 0, -48, -80, -48, 0, 0, -208, 0, -64, 0, 0, -8, 24, -64, 0, 0, 40, -64, 32, 0, 0, 0, -88, -152, 0, 0, -56, 304, 16, 0, 0, -128, 40, -144, 0, 0, 16, 64, -112, 0, 0, -8, 56, -88, 0, 0, 136, -40, 144, 0, 0, -224, 0, -288, 0, 0, -8, 160, -32, 0, 0, -288, 96, 32, 0, 0, 88, 56, 0, 0, 0, 24, 40, 136, 0, 0, 8, -72, -248, 0, 0, 128, -96, 32, 0, 0, 112, 80, 72, 0, 0, 16, 0, 200, 0, 0, -8, -24, -8, 0, 0, -24, -64, -32, 0, 0, -8, -8, -24, 0, 0, -120, 8, 0, 0, 0, 8, 56, 112, 0, 0, 136, -56, 624, 0, 0, 24, -96, 112, 0, 0, -80, -16, -96, 0, 0, 0, -32, 208, 0, 0, -584, 8, 0, 0, 0, -112, 16, -16, 0, 0, -8, 56, 320, 0, 0, -72, -64, 8, 0, 0, 8, -64, 288, 0, 0, -32, -136, 0, 0, 0, -352, -48, 112, 0, 0, -8, 32, -328, 0, 0, 232, -16, -288, 0, 0, -152, -288, 32, 0, 0, -16, 40, 32, 0, 0, -48, -256, 16, 0, 0, -144, -88, 88, 0, 0, -48, -168, -176, 0, 0, -8, 8, 640, 0, 0, 16, 0, 256, 0, 0, 176, 136, 80, 0, 0, 224, -176, -8, 0, 0, 120, -32, -72, 0, 0, -48, 0, -8, 0, 0, -280, 96, 16, 0, 0, -48, -48, -96, 0, 0, 400, 8, 144, 0, 0, 40, -232, 160, 0, 0, 408, 32, 352, 0, 0, -32, 24, -40, 0, 0, 208, -80, 48, 0, 0, 48, -32, -96, 0, 0, 160, 328, 64, 0, 0, -192, 32, 56, 0, 0, -448, 16, 16, 0, 0, 24, -112, 8, 0, 0, 0, -304, -696, 0, 0, -352, -176, -8, 0, 0, 440, -72, 32, 0, 0, 32, 8, 64, 0, 0, -168, 16, 288, 0, 0, -96, -136, -88, 0, 0, 88, -16, -208, 0, 0, 0, 40, 232, 0, 0, -160, 32, -16, 0, 0, 136, 8, 56, 0, 0, -128, 80, 96, 0, 0, 48, 80, -48, 0, 0, -304, 64, -64, 0, 0, -56, 144, 24, 0, 0, -32, 16, 144, 0, 0, 16, 184, 16, 0, 0, -104, 56, -400, 0, 0, 64, 64, 16, 0, 0, 112, -8, 120, 0, 0, 16, 104, 0, 0, 0, 112, 40, 16, 0, 0, -80, 328, -176, 0, 0, 224, 72], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 45779215
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 239, 'source_dim': 14, 'source_embedding_index': 7, 'source_hecke_orbit_code': 27021872675685542, 'source_is_minimal': True, 'source_label': '1190.2.e.g.239.7', 'source_level': 1190, 'target_conrey_index': 239, 'target_dim': 14, 'target_embedding_index': 7, 'target_hecke_orbit_code': 27021872675685542, 'target_is_minimal': True, 'target_label': '1190.2.e.g.239.7', 'target_level': 1190, 'twist_class_label': '1190.2.e.g.239.7', 'twist_class_level': 1190, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45779216
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 239, 'source_dim': 14, 'source_embedding_index': 7, 'source_hecke_orbit_code': 27021872675685542, 'source_is_minimal': True, 'source_label': '1190.2.e.g.239.7', 'source_level': 1190, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 7, 'target_hecke_orbit_code': 243194379911567166, 'target_is_minimal': False, 'target_label': '5950.2.a.cc.1.7', 'target_level': 5950, 'twist_class_label': '1190.2.e.g.239.7', 'twist_class_level': 1190, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45779217
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 239, 'source_dim': 14, 'source_embedding_index': 7, 'source_hecke_orbit_code': 27021872675685542, 'source_is_minimal': True, 'source_label': '1190.2.e.g.239.7', 'source_level': 1190, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 1, 'target_hecke_orbit_code': 238690780284196670, 'target_is_minimal': False, 'target_label': '5950.2.a.cb.1.1', 'target_level': 5950, 'twist_class_label': '1190.2.e.g.239.7', 'twist_class_level': 1190, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45779218
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 239, 'source_dim': 14, 'source_embedding_index': 7, 'source_hecke_orbit_code': 27021872675685542, 'source_is_minimal': True, 'source_label': '1190.2.e.g.239.7', 'source_level': 1190, 'target_conrey_index': 239, 'target_dim': 14, 'target_embedding_index': 8, 'target_hecke_orbit_code': 27021872675685542, 'target_is_minimal': True, 'target_label': '1190.2.e.g.239.8', 'target_level': 1190, 'twist_class_label': '1190.2.e.g.239.7', 'twist_class_level': 1190, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1755225
{'charpoly_factorization': [[[1, 0, 1], 7]], 'hecke_orbit_code': 27021872675685542, 'p': 2}
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id: 1755226
{'charpoly_factorization': [[[16, 0, 1856, 0, 4360, 0, 3664, 0, 1457, 0, 292, 0, 28, 0, 1], 1]], 'hecke_orbit_code': 27021872675685542, 'p': 3}
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id: 1755227
{'charpoly_factorization': [[[78125, 31250, -15625, 2500, 5125, -1450, -625, 232, -125, -58, 41, 4, -5, 2, 1], 1]], 'hecke_orbit_code': 27021872675685542, 'p': 5}
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id: 1755228
{'charpoly_factorization': [[[1, 0, 1], 7]], 'hecke_orbit_code': 27021872675685542, 'p': 7}
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id: 1755229
{'charpoly_factorization': [[[-1264, -2376, 1360, 448, -194, -31, 7, 1], 2]], 'hecke_orbit_code': 27021872675685542, 'p': 11}
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id: 1755230
{'charpoly_factorization': [[[9437184, 0, 12722176, 0, 5785744, 0, 1087472, 0, 100792, 0, 4832, 0, 113, 0, 1], 1]], 'hecke_orbit_code': 27021872675685542, 'p': 13}
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id: 1755231
{'charpoly_factorization': [[[1, 0, 1], 7]], 'hecke_orbit_code': 27021872675685542, 'p': 17}
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id: 1755232
{'charpoly_factorization': [[[2116, -9544, -1956, 1464, 153, -74, -2, 1], 2]], 'hecke_orbit_code': 27021872675685542, 'p': 19}
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id: 1755233
{'charpoly_factorization': [[[702038016, 0, 1518446848, 0, 299213312, 0, 24075424, 0, 979408, 0, 21161, 0, 231, 0, 1], 1]], 'hecke_orbit_code': 27021872675685542, 'p': 23}
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id: 1755234
{'charpoly_factorization': [[[3144, -8056, 7680, -3420, 681, -24, -10, 1], 2]], 'hecke_orbit_code': 27021872675685542, 'p': 29}
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id: 1755235
{'charpoly_factorization': [[[457056, 268256, 31840, -7796, -1813, -14, 18, 1], 2]], 'hecke_orbit_code': 27021872675685542, 'p': 31}
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id: 1755236
{'charpoly_factorization': [[[310311387136, 0, 111812018176, 0, 9416994816, 0, 352593472, 0, 6977856, 0, 76048, 0, 432, 0, 1], 1]], 'hecke_orbit_code': 27021872675685542, 'p': 37}
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id: 1755237
{'charpoly_factorization': [[[457984, 101776, -53664, -2592, 1740, -39, -17, 1], 2]], 'hecke_orbit_code': 27021872675685542, 'p': 41}
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id: 1755238
{'charpoly_factorization': [[[170459136, 0, 2419855360, 0, 1607802880, 0, 132976000, 0, 4224432, 0, 61265, 0, 407, 0, 1], 1]], 'hecke_orbit_code': 27021872675685542, 'p': 43}
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id: 1755239
{'charpoly_factorization': [[[720515764224, 0, 120061898752, 0, 8105617024, 0, 287291584, 0, 5789497, 0, 66516, 0, 404, 0, 1], 1]], 'hecke_orbit_code': 27021872675685542, 'p': 47}
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id: 1755240
{'charpoly_factorization': [[[24171542784, 0, 19793624320, 0, 2940251104, 0, 175619024, 0, 4920689, 0, 67244, 0, 428, 0, 1], 1]], 'hecke_orbit_code': 27021872675685542, 'p': 53}
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id: 1755241
{'charpoly_factorization': [[[-324468, -607480, -14860, 28280, 231, -326, 0, 1], 2]], 'hecke_orbit_code': 27021872675685542, 'p': 59}
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id: 1755242
{'charpoly_factorization': [[[-1282048, -1430144, -45876, 45036, 496, -388, -1, 1], 2]], 'hecke_orbit_code': 27021872675685542, 'p': 61}
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id: 1755243
{'charpoly_factorization': [[[138674176, 0, 33179566080, 0, 5061818368, 0, 277179648, 0, 7004580, 0, 87165, 0, 503, 0, 1], 1]], 'hecke_orbit_code': 27021872675685542, 'p': 67}
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id: 1755244
{'charpoly_factorization': [[[-1330944, 415232, 255024, 16064, -3296, -276, 11, 1], 2]], 'hecke_orbit_code': 27021872675685542, 'p': 71}
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id: 1755245
{'charpoly_factorization': [[[67783163904, 0, 49863503872, 0, 6806595840, 0, 343779840, 0, 7968352, 0, 90496, 0, 489, 0, 1], 1]], 'hecke_orbit_code': 27021872675685542, 'p': 73}
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id: 1755246
{'charpoly_factorization': [[[-8699392, 5664320, -935200, -19920, 10112, -244, -26, 1], 2]], 'hecke_orbit_code': 27021872675685542, 'p': 79}
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id: 1755247
{'charpoly_factorization': [[[112166047744, 0, 187059823872, 0, 49440874176, 0, 3124784656, 0, 49653824, 0, 322248, 0, 932, 0, 1], 1]], 'hecke_orbit_code': 27021872675685542, 'p': 83}
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id: 1755248
{'charpoly_factorization': [[[1418432, -1201312, 241968, 16480, -4620, -194, 21, 1], 2]], 'hecke_orbit_code': 27021872675685542, 'p': 89}
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id: 1755249
{'charpoly_factorization': [[[278851588096, 0, 253897104384, 0, 54961314560, 0, 2274600064, 0, 36738800, 0, 262556, 0, 845, 0, 1], 1]], 'hecke_orbit_code': 27021872675685542, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 5, 'hecke_orbit': 7, 'label': '1190.2.e.g', 'level': 1190, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 47308147
{'hecke_orbit_code': 27021872675685542, 'n': 1, 'trace_an': 14}
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id: 47308148
{'hecke_orbit_code': 27021872675685542, 'n': 2, 'trace_an': 0}
-
id: 47308149
{'hecke_orbit_code': 27021872675685542, 'n': 3, 'trace_an': 0}
-
id: 47308150
{'hecke_orbit_code': 27021872675685542, 'n': 4, 'trace_an': -14}
-
id: 47308151
{'hecke_orbit_code': 27021872675685542, 'n': 5, 'trace_an': -2}
-
id: 47308152
{'hecke_orbit_code': 27021872675685542, 'n': 6, 'trace_an': -4}
-
id: 47308153
{'hecke_orbit_code': 27021872675685542, 'n': 7, 'trace_an': 0}
-
id: 47308154
{'hecke_orbit_code': 27021872675685542, 'n': 8, 'trace_an': 0}
-
id: 47308155
{'hecke_orbit_code': 27021872675685542, 'n': 9, 'trace_an': -14}
-
id: 47308156
{'hecke_orbit_code': 27021872675685542, 'n': 10, 'trace_an': 4}
-
id: 47308157
{'hecke_orbit_code': 27021872675685542, 'n': 11, 'trace_an': -14}
-
id: 47308158
{'hecke_orbit_code': 27021872675685542, 'n': 12, 'trace_an': 0}
-
id: 47308159
{'hecke_orbit_code': 27021872675685542, 'n': 13, 'trace_an': 0}
-
id: 47308160
{'hecke_orbit_code': 27021872675685542, 'n': 14, 'trace_an': 14}
-
id: 47308161
{'hecke_orbit_code': 27021872675685542, 'n': 15, 'trace_an': 2}
-
id: 47308162
{'hecke_orbit_code': 27021872675685542, 'n': 16, 'trace_an': 14}
-
id: 47308163
{'hecke_orbit_code': 27021872675685542, 'n': 17, 'trace_an': 0}
-
id: 47308164
{'hecke_orbit_code': 27021872675685542, 'n': 18, 'trace_an': 0}
-
id: 47308165
{'hecke_orbit_code': 27021872675685542, 'n': 19, 'trace_an': 4}
-
id: 47308166
{'hecke_orbit_code': 27021872675685542, 'n': 20, 'trace_an': 2}
-
id: 47308167
{'hecke_orbit_code': 27021872675685542, 'n': 21, 'trace_an': 4}
-
id: 47308168
{'hecke_orbit_code': 27021872675685542, 'n': 22, 'trace_an': 0}
-
id: 47308169
{'hecke_orbit_code': 27021872675685542, 'n': 23, 'trace_an': 0}
-
id: 47308170
{'hecke_orbit_code': 27021872675685542, 'n': 24, 'trace_an': 4}
-
id: 47308171
{'hecke_orbit_code': 27021872675685542, 'n': 25, 'trace_an': 14}
-
id: 47308172
{'hecke_orbit_code': 27021872675685542, 'n': 26, 'trace_an': 2}
-
id: 47308173
{'hecke_orbit_code': 27021872675685542, 'n': 27, 'trace_an': 0}
-
id: 47308174
{'hecke_orbit_code': 27021872675685542, 'n': 28, 'trace_an': 0}
-
id: 47308175
{'hecke_orbit_code': 27021872675685542, 'n': 29, 'trace_an': 20}
-
id: 47308176
{'hecke_orbit_code': 27021872675685542, 'n': 30, 'trace_an': -2}
-
id: 47308177
{'hecke_orbit_code': 27021872675685542, 'n': 31, 'trace_an': -36}
-
id: 47308178
{'hecke_orbit_code': 27021872675685542, 'n': 32, 'trace_an': 0}
-
id: 47308179
{'hecke_orbit_code': 27021872675685542, 'n': 33, 'trace_an': 0}
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id: 47308397
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id: 47308399
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id: 47308401
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id: 47308403
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id: 47308404
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