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mf_newforms • Show schema
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{'Nk2': 16320, 'analytic_conductor': 32.5789640246824, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 2, 'char_parity': 1, 'char_values': [4080, 2, [511, 3061, 1361, 817, 241], [2, 2, 2, 1, 2]], 'cm_discs': [], 'conrey_index': 2449, 'dim': 12, 'field_disc': 4719817508061184, 'field_disc_factorization': [[2, 16], [43, 2], [79, 4]], 'field_poly': [64, -192, 288, -456, 529, -290, 114, -34, -14, 6, 2, -2, 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': [[7, [256, 0, 4864, 0, 6148, 0, 2740, 0, 501, 0, 38, 0, 1]], [11, [32, 96, 60, -36, -27, 2, 1]], [23, [4194304, 0, 3407872, 0, 919808, 0, 110336, 0, 6116, 0, 140, 0, 1]]], 'hecke_orbit': 20, 'hecke_orbit_code': 85569217587318768, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 512, 'hecke_ring_index_factorization': [[2, 9]], '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': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '4080.2.m.t', 'level': 4080, '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': [2, 3, 5, 17], 'level_radical': 510, 'minimal_twist': '2040.2.m.i', 'prim_orbit_index': 2, 'qexp_display': 'q+\\beta _{6}q^{3}+\\beta _{8}q^{5}-\\beta _{7}q^{7}-q^{9}+(-\\beta _{1}+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 12, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4080.2.m', 'trace_display': [0, 0, 0, 0], 'trace_hash': 220664291966804192, 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mf_hecke_cc • Show schema
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-0.25971054227897955, -0.322016998623568], 'char_orbit_index': 13, 'conrey_index': 2449, 'dual_conrey_index': 2449, 'dual_embedding_index': 5, 'dual_embedding_m': 5, 'embedding_index': 11, 'embedding_m': 11, 'embedding_root_imag': 1.6438613232581005, 'embedding_root_real': -0.09247379870978008, 'hecke_orbit': 20, 'hecke_orbit_code': 85569217587318768, 'label': '4080.2.m.t.2449.11', 'level': 4080, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 16320, 'analytic_conductor': 32.5789640246824, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 2, 'char_parity': 1, 'char_values': [4080, 2, [511, 3061, 1361, 817, 241], [2, 2, 2, 1, 2]], 'conrey_index': 2449, 'cusp_dim': 840, 'dim': 96, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 23], 'hecke_orbit_code': 824667279344, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 6, 10, 10, 10, 12, 12], 'label': '4080.2.m', 'level': 4080, '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': [2, 3, 5, 17], 'level_radical': 510, 'mf_dim': 888, 'mf_new_dim': 96, 'num_forms': 21, 'prim_orbit_index': 2, 'relative_dim': 96, 'sturm_bound': 1728, 'trace_bound': 15, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -24, 0, 0, 0, 24, 0, 0, 0, 16, 0, 16, 0, 0, 0, 0, 0, 0, 0, -96, 0, 12, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 88, 0, 96, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -48, 0, 0, 0, -52, 0, 0, 0, 0, 0, 128, 0, 0, 0, 48, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 24, 0, 0, 0, 24, 0, 0, 0, 40, 0, -32, 0, 0, 0, -32, 0, 0, 0, -80, 0, 0, 0, 0, 0, 56, 0, 0, 0, -16, 0, 64, 0, 0, 0, -16, 0, 0, 0, 0, 0, 192, 0, 0, 0, -52, 0, 0, 0, 72, 0, 0, 0, 0, 0, 16, 0, 0, 0, 64, 0, 168, 0, 0, 0, -144, 0, 0, 0, 48, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -48, 0, 0, 0, -88, 0, 0, 0, -192, 0, -32, 0, 0, 0, 0, 0, 0, 0, 16, 0, -48, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, -32, 0, 0, 0, 96, 0, -72, 0, 0, 0, -112, 0, 0, 0, 24, 0, -16, 0, 0, 0, 0, 0, 0, 0, -96, 0, 24, 0, 0, 0, 8, 0, 0, 0, 128, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 208, 0, 0, 0, -24, 0, 0, 0, -120, 0, 16, 0, 0, 0, -160, 0, 0, 0, 0, 0, -80, 0, 0, 0, 32, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, -112, 0, -16, 0, 0, 0, -72, 0, 0, 0, -64, 0, 80, 0, 0, 0, -128, 0, 0, 0, -16, 0, 96, 0, 0, 0, 36, 0, 0, 0, 24, 0, 64, 0, 0, 0, 32, 0, 0, 0, -16, 0, -56, 0, 0, 0, 128, 0, 0, 0, 24, 0, 16, 0, 0, 0, 0, 0, 0, 0, -32, 0, 72, 0, 0, 0, -72, 0, 0, 0, -80, 0, 48, 0, 0, 0, 16, 0, 0, 0, -32, 0, 80, 0, 0, 0, 0, 0, 0, 0, 136, 0, 96, 0, 0, 0, 16, 0, 0, 0, 16, 0, 48, 0, 0, 0, -136, 0, 0, 0, -12, 0, -80, 0, 0, 0, 64, 0, 0, 0, 64, 0, -112, 0, 0, 0, -140, 0, 0, 0, -144, 0, -32, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, -120, 0, 32, 0, 0, 0, -16, 0, 0, 0, -16, 0, 168, 0, 0, 0, 96, 0, 0, 0, 0, 0, 208, 0, 0, 0, 48, 0, 0, 0, -144, 0, 0, 0, 0, 0, 84, 0, 0, 0, 96, 0, 96, 0, 0, 0, -112, 0, 0, 0, 0, 0, 64, 0, 0, 0, -24, 0, 0, 0, 120, 0, 0, 0, 0, 0, 64, 0, 0, 0, -80, 0, -56, 0, 0, 0, -96, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, -48, 0, 0, 0, 0, 0, 0, 0, 48, 0, 96, 0, 0, 0, -80, 0, 0, 0, -160, 0, 176, 0, 0, 0, 48, 0, 0, 0, -216, 0, 0, 0, 0, 0, 72, 0, 0, 0, -16, 0, -112, 0, 0, 0, -48, 0, 0, 0, 0, 0, -48, 0, 0, 0, -112, 0, 0, 0, -128, 0, 128, 0, 0, 0, -4, 0, 0, 0, -48, 0, 96, 0, 0, 0, -64, 0, 0, 0, -32, 0, 320, 0, 0, 0, 16, 0, 0, 0, 16, 0, 16, 0, 0, 0, -144, 0, 0, 0, 64, 0, 24, 0, 0, 0, -240, 0, 0, 0, 48, 0, -176, 0, 0, 0, 64, 0, 0, 0, 128, 0, -88, 0, 0, 0, -4, 0, 0, 0, -192, 0, 224, 0, 0, 0, -32, 0, 0, 0, -96, 0, 0, 0, 0, 0, -112, 0, 0, 0, -8, 0, -64, 0, 0, 0, 112, 0, 0, 0, 256, 0, 40, 0, 0, 0, 32, 0, 0, 0, 64, 0, -16, 0, 0, 0, 0, 0, 0, 0, -160, 0, 72, 0, 0, 0, -200, 0, 0, 0, -448, 0, -48, 0, 0, 0, -128, 0, 0, 0, 64, 0, 320, 0, 0, 0, -128, 0, 0, 0, 64, 0, 16, 0, 0, 0, -304, 0, 0, 0, 80, 0, 456, 0, 0, 0, 104, 0, 0, 0, 0, 0, 96, 0, 0, 0, 8, 0, 0, 0, 64, 0, 24, 0, 0, 0, -244, 0, 0, 0, 0, 0, 192, 0, 0, 0, -304, 0, 0, 0, -160, 0, -192, 0, 0, 0, 64, 0, 0, 0, 216, 0, 192, 0, 0, 0, 40, 0, 0, 0, 272, 0, 112, 0, 0, 0, -112, 0, 0, 0, 136, 0, -16, 0, 0, 0, -80, 0, 0, 0, -128, 0, 0, 0, 0, 0, -160, 0, 0, 0, -224, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 416, 0, 0, 0, -160, 0, 0, 0, -144, 0, 32, 0, 0, 0, -64, 0, 0, 0, 176, 0, -40, 0, 0, 0, 0, 0, 0, 0, -48, 0, 160, 0, 0, 0, 16, 0, 0, 0, -96, 0, -72, 0, 0, 0, -152, 0, 0, 0, -128, 0, 304, 0, 0, 0, -144, 0, 0, 0, 0, 0, 448, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 384, 0, 104, 0, 0, 0, 192, 0, 0, 0, 48, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48307957
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 2449, 'source_dim': 12, 'source_embedding_index': 11, 'source_hecke_orbit_code': 85569217587318768, 'source_is_minimal': False, 'source_label': '4080.2.m.t.2449.11', 'source_level': 4080, 'target_conrey_index': 2449, 'target_dim': 12, 'target_embedding_index': 11, 'target_hecke_orbit_code': 85569217587318768, 'target_is_minimal': False, 'target_label': '4080.2.m.t.2449.11', 'target_level': 4080, 'twist_class_label': '2040.2.m.i.409.5', 'twist_class_level': 2040, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48307958
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 2449, 'source_dim': 12, 'source_embedding_index': 11, 'source_hecke_orbit_code': 85569217587318768, 'source_is_minimal': False, 'source_label': '4080.2.m.t.2449.11', 'source_level': 4080, 'target_conrey_index': 409, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 36029621686241272, 'target_is_minimal': True, 'target_label': '2040.2.m.i.409.5', 'target_level': 2040, 'twist_class_label': '2040.2.m.i.409.5', 'twist_class_level': 2040, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48307959
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 2449, 'source_dim': 12, 'source_embedding_index': 11, 'source_hecke_orbit_code': 85569217587318768, 'source_is_minimal': False, 'source_label': '4080.2.m.t.2449.11', 'source_level': 4080, 'target_conrey_index': 2449, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 85569217587318768, 'target_is_minimal': False, 'target_label': '4080.2.m.t.2449.5', 'target_level': 4080, 'twist_class_label': '2040.2.m.i.409.5', 'twist_class_level': 2040, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48307960
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 2449, 'source_dim': 12, 'source_embedding_index': 11, 'source_hecke_orbit_code': 85569217587318768, 'source_is_minimal': False, 'source_label': '4080.2.m.t.2449.11', 'source_level': 4080, 'target_conrey_index': 409, 'target_dim': 12, 'target_embedding_index': 11, 'target_hecke_orbit_code': 36029621686241272, 'target_is_minimal': True, 'target_label': '2040.2.m.i.409.11', 'target_level': 2040, 'twist_class_label': '2040.2.m.i.409.5', 'twist_class_level': 2040, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3493650
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 85569217587318768, 'p': 2}
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id: 3493651
{'charpoly_factorization': [[[1, 0, 1], 6]], 'hecke_orbit_code': 85569217587318768, 'p': 3}
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id: 3493652
{'charpoly_factorization': [[[15625, 0, 0, 1000, -225, -40, 32, -8, -9, 8, 0, 0, 1], 1]], 'hecke_orbit_code': 85569217587318768, 'p': 5}
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id: 3493653
{'charpoly_factorization': [[[256, 0, 4864, 0, 6148, 0, 2740, 0, 501, 0, 38, 0, 1], 1]], 'hecke_orbit_code': 85569217587318768, 'p': 7}
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id: 3493654
{'charpoly_factorization': [[[32, 96, 60, -36, -27, 2, 1], 2]], 'hecke_orbit_code': 85569217587318768, 'p': 11}
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id: 3493655
{'charpoly_factorization': [[[256, 0, 320, 0, 36, 0, 1], 2]], 'hecke_orbit_code': 85569217587318768, 'p': 13}
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id: 3493656
{'charpoly_factorization': [[[1, 0, 1], 6]], 'hecke_orbit_code': 85569217587318768, 'p': 17}
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id: 3493657
{'charpoly_factorization': [[[-64, 256, -292, 100, 13, -10, 1], 2]], 'hecke_orbit_code': 85569217587318768, 'p': 19}
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id: 3493658
{'charpoly_factorization': [[[4194304, 0, 3407872, 0, 919808, 0, 110336, 0, 6116, 0, 140, 0, 1], 1]], 'hecke_orbit_code': 85569217587318768, 'p': 23}
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id: 3493659
{'charpoly_factorization': [[[-64, -16, 78, 8, -25, 2, 1], 2]], 'hecke_orbit_code': 85569217587318768, 'p': 29}
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id: 3493660
{'charpoly_factorization': [[[10496, 5312, -440, -544, -50, 8, 1], 2]], 'hecke_orbit_code': 85569217587318768, 'p': 31}
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id: 3493661
{'charpoly_factorization': [[[3297856, 0, 7226848, 0, 4130836, 0, 455396, 0, 15717, 0, 214, 0, 1], 1]], 'hecke_orbit_code': 85569217587318768, 'p': 37}
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id: 3493662
{'charpoly_factorization': [[[-32, -496, 1252, -136, -107, 2, 1], 2]], 'hecke_orbit_code': 85569217587318768, 'p': 41}
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id: 3493663
{'charpoly_factorization': [[[211062784, 0, 65026048, 0, 7638784, 0, 438528, 0, 12912, 0, 184, 0, 1], 1]], 'hecke_orbit_code': 85569217587318768, 'p': 43}
-
id: 3493664
{'charpoly_factorization': [[[16384, 0, 36710400, 0, 13863744, 0, 967056, 0, 25737, 0, 282, 0, 1], 1]], 'hecke_orbit_code': 85569217587318768, 'p': 47}
-
id: 3493665
{'charpoly_factorization': [[[671017216, 0, 235790336, 0, 26926816, 0, 1238688, 0, 26601, 0, 266, 0, 1], 1]], 'hecke_orbit_code': 85569217587318768, 'p': 53}
-
id: 3493666
{'charpoly_factorization': [[[-64000, 0, 6880, -48, -196, 4, 1], 2]], 'hecke_orbit_code': 85569217587318768, 'p': 59}
-
id: 3493667
{'charpoly_factorization': [[[-64, 1120, -2072, 1200, -182, -4, 1], 2]], 'hecke_orbit_code': 85569217587318768, 'p': 61}
-
id: 3493668
{'charpoly_factorization': [[[246016, 0, 12432, 0, 200, 0, 1], 2]], 'hecke_orbit_code': 85569217587318768, 'p': 67}
-
id: 3493669
{'charpoly_factorization': [[[-1508096, 232896, 31368, -3936, -290, 16, 1], 2]], 'hecke_orbit_code': 85569217587318768, 'p': 71}
-
id: 3493670
{'charpoly_factorization': [[[553943296, 0, 280569088, 0, 37747936, 0, 2058160, 0, 47353, 0, 394, 0, 1], 1]], 'hecke_orbit_code': 85569217587318768, 'p': 73}
-
id: 3493671
{'charpoly_factorization': [[[6784, -27968, 2344, 1208, -98, -12, 1], 2]], 'hecke_orbit_code': 85569217587318768, 'p': 79}
-
id: 3493672
{'charpoly_factorization': [[[4294967296, 0, 2944401408, 0, 281808896, 0, 9097728, 0, 118672, 0, 600, 0, 1], 1]], 'hecke_orbit_code': 85569217587318768, 'p': 83}
-
id: 3493673
{'charpoly_factorization': [[[177664, -38656, -10800, 3184, -104, -20, 1], 2]], 'hecke_orbit_code': 85569217587318768, 'p': 89}
-
id: 3493674
{'charpoly_factorization': [[[6885376, 0, 14059520, 0, 6864640, 0, 771840, 0, 23280, 0, 264, 0, 1], 1]], 'hecke_orbit_code': 85569217587318768, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 13, 'hecke_orbit': 20, 'label': '4080.2.m.t', 'level': 4080, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
-
id: 64185217
{'hecke_orbit_code': 85569217587318768, 'n': 1, 'trace_an': 12}
-
id: 64185218
{'hecke_orbit_code': 85569217587318768, 'n': 2, 'trace_an': 0}
-
id: 64185219
{'hecke_orbit_code': 85569217587318768, 'n': 3, 'trace_an': 0}
-
id: 64185220
{'hecke_orbit_code': 85569217587318768, 'n': 4, 'trace_an': 0}
-
id: 64185221
{'hecke_orbit_code': 85569217587318768, 'n': 5, 'trace_an': 0}
-
id: 64185222
{'hecke_orbit_code': 85569217587318768, 'n': 6, 'trace_an': 0}
-
id: 64185223
{'hecke_orbit_code': 85569217587318768, 'n': 7, 'trace_an': 0}
-
id: 64185224
{'hecke_orbit_code': 85569217587318768, 'n': 8, 'trace_an': 0}
-
id: 64185225
{'hecke_orbit_code': 85569217587318768, 'n': 9, 'trace_an': -12}
-
id: 64185226
{'hecke_orbit_code': 85569217587318768, 'n': 10, 'trace_an': 0}
-
id: 64185227
{'hecke_orbit_code': 85569217587318768, 'n': 11, 'trace_an': -4}
-
id: 64185228
{'hecke_orbit_code': 85569217587318768, 'n': 12, 'trace_an': 0}
-
id: 64185229
{'hecke_orbit_code': 85569217587318768, 'n': 13, 'trace_an': 0}
-
id: 64185230
{'hecke_orbit_code': 85569217587318768, 'n': 14, 'trace_an': 0}
-
id: 64185231
{'hecke_orbit_code': 85569217587318768, 'n': 15, 'trace_an': 0}
-
id: 64185232
{'hecke_orbit_code': 85569217587318768, 'n': 16, 'trace_an': 0}
-
id: 64185233
{'hecke_orbit_code': 85569217587318768, 'n': 17, 'trace_an': 0}
-
id: 64185234
{'hecke_orbit_code': 85569217587318768, 'n': 18, 'trace_an': 0}
-
id: 64185235
{'hecke_orbit_code': 85569217587318768, 'n': 19, 'trace_an': 20}
-
id: 64185236
{'hecke_orbit_code': 85569217587318768, 'n': 20, 'trace_an': 0}
-
id: 64185237
{'hecke_orbit_code': 85569217587318768, 'n': 21, 'trace_an': 4}
-
id: 64185238
{'hecke_orbit_code': 85569217587318768, 'n': 22, 'trace_an': 0}
-
id: 64185239
{'hecke_orbit_code': 85569217587318768, 'n': 23, 'trace_an': 0}
-
id: 64185240
{'hecke_orbit_code': 85569217587318768, 'n': 24, 'trace_an': 0}
-
id: 64185241
{'hecke_orbit_code': 85569217587318768, 'n': 25, 'trace_an': 0}
-
id: 64185242
{'hecke_orbit_code': 85569217587318768, 'n': 26, 'trace_an': 0}
-
id: 64185243
{'hecke_orbit_code': 85569217587318768, 'n': 27, 'trace_an': 0}
-
id: 64185244
{'hecke_orbit_code': 85569217587318768, 'n': 28, 'trace_an': 0}
-
id: 64185245
{'hecke_orbit_code': 85569217587318768, 'n': 29, 'trace_an': -4}
-
id: 64185246
{'hecke_orbit_code': 85569217587318768, 'n': 30, 'trace_an': 0}
-
id: 64185247
{'hecke_orbit_code': 85569217587318768, 'n': 31, 'trace_an': -16}
-
id: 64185248
{'hecke_orbit_code': 85569217587318768, 'n': 32, 'trace_an': 0}
-
id: 64185249
{'hecke_orbit_code': 85569217587318768, 'n': 33, 'trace_an': 0}
-
id: 64185250
{'hecke_orbit_code': 85569217587318768, 'n': 34, 'trace_an': 0}
-
id: 64185251
{'hecke_orbit_code': 85569217587318768, 'n': 35, 'trace_an': 12}
-
id: 64185252
{'hecke_orbit_code': 85569217587318768, 'n': 36, 'trace_an': 0}
-
id: 64185253
{'hecke_orbit_code': 85569217587318768, 'n': 37, 'trace_an': 0}
-
id: 64185254
{'hecke_orbit_code': 85569217587318768, 'n': 38, 'trace_an': 0}
-
id: 64185255
{'hecke_orbit_code': 85569217587318768, 'n': 39, 'trace_an': 8}
-
id: 64185256
{'hecke_orbit_code': 85569217587318768, 'n': 40, 'trace_an': 0}
-
id: 64185257
{'hecke_orbit_code': 85569217587318768, 'n': 41, 'trace_an': -4}
-
id: 64185258
{'hecke_orbit_code': 85569217587318768, 'n': 42, 'trace_an': 0}
-
id: 64185259
{'hecke_orbit_code': 85569217587318768, 'n': 43, 'trace_an': 0}
-
id: 64185260
{'hecke_orbit_code': 85569217587318768, 'n': 44, 'trace_an': 0}
-
id: 64185261
{'hecke_orbit_code': 85569217587318768, 'n': 45, 'trace_an': 0}
-
id: 64185262
{'hecke_orbit_code': 85569217587318768, 'n': 46, 'trace_an': 0}
-
id: 64185263
{'hecke_orbit_code': 85569217587318768, 'n': 47, 'trace_an': 0}
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id: 64185465
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id: 64185466
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id: 64185467
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id: 64185468
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id: 64185469
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id: 64185470
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id: 64185471
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id: 64185472
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id: 64185473
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id: 64185474
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