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mf_newforms • Show schema
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{'Nk2': 3080, 'analytic_conductor': 6.14848095563859, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 55, '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': [770, 4, [617, 661, 211], [3, 4, 2]], 'cm_discs': [], 'conrey_index': 43, 'dim': 16, 'field_disc': 65247146891918656405504, 'field_disc_factorization': [[2, 42], [349, 4]], 'field_poly': [529, 0, 6904, 0, 17180, 0, 17648, 0, 9170, 0, 2600, 0, 404, 0, 32, 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, [324, 720, 800, 392, 100, 8, 8, 4, 1]], [17, [303595776, 0, 0, 0, 21971200, 0, 0, 0, 276576, 0, 0, 0, 1040, 0, 0, 0, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18015223176758018, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 8, 'hecke_ring_index_factorization': [[2, 3]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 3, -1, 4, 0], [1, 1, 11, 2, -1, 2, 0], [1, 1, 55, 5, 1, 4, 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': True, 'label': '770.2.m.e', 'level': 770, '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, 11], 'level_radical': 770, 'minimal_twist': '770.2.m.e', 'prim_orbit_index': 5, 'qexp_display': 'q-\\beta _{10}q^{2}+(-1-\\beta _{3}+\\beta _{7}-\\beta _{15})q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '770.2.m', 'trace_display': [0, -8, -8, 0], 'trace_hash': 1221277891198419010, 'trace_moments': 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mf_hecke_cc • Show schema
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-3.260066139262079, 'embedding_root_real': 0.0, 'hecke_orbit': 5, 'hecke_orbit_code': 18015223176758018, 'label': '770.2.m.e.43.3', 'level': 770, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3080, 'analytic_conductor': 6.14848095563859, 'char_conductor': 55, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 4, 'char_parity': 1, 'char_values': [770, 4, [617, 661, 211], [3, 4, 2]], 'conrey_index': 43, 'cusp_dim': 272, 'dim': 72, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 17], 'hecke_orbit_code': 824667276034, 'hecke_orbit_dims': [4, 4, 4, 8, 16, 36], 'label': '770.2.m', 'level': 770, '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, 11], 'level_radical': 770, 'mf_dim': 304, 'mf_new_dim': 72, 'num_forms': 6, 'prim_orbit_index': 5, 'relative_dim': 36, 'sturm_bound': 288, 'trace_bound': 5, 'trace_display': [0, -8, 0, 0], 'traces': [72, 0, -8, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, -8, -72, 0, 0, 0, -8, 0, -8, 8, 0, 40, 0, 16, 0, 0, 0, 32, 0, -40, 0, 0, -88, 8, 48, 0, 0, 0, 0, 0, 0, -24, 0, 24, 8, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, -32, 40, 0, 0, -16, -96, 0, 0, 0, 72, 0, -16, 32, 0, 0, -120, 32, 0, 0, 0, 128, 0, -8, 0, 0, 48, -8, 32, 0, 0, 0, 88, 0, 0, 32, 0, 16, -8, 0, 0, 0, 0, 16, 0, 8, 176, 0, 24, 0, -120, 0, 0, 0, 0, 0, -8, 96, 0, 0, 0, 0, 0, 0, 0, -48, 0, 40, -16, 0, -144, 32, -8, 0, 0, 0, -48, 0, -64, 0, 0, -64, 8, 8, 0, 0, 0, -48, 0, 0, 16, 0, -152, -48, 0, 0, 0, 0, -104, 0, -8, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, -8, 240, 0, 0, -48, -64, 0, 0, 0, 296, 0, -160, 24, 0, 112, -48, -8, 0, 0, 0, -72, 0, -8, 0, 0, -176, -144, -48, 0, 0, 0, 152, 0, 0, 64, 0, 40, -80, 0, 0, 0, 0, 64, 0, 8, 64, 0, -104, 0, 192, 0, 0, 0, 0, 0, 80, 0, 0, 0, -8, -96, 0, 0, 0, 8, 0, 80, 120, 0, -8, -64, -144, 0, 0, 0, -48, 0, 8, 0, 0, 72, 120, 96, 0, 0, 0, -208, 0, 0, -8, 0, -16, 40, 0, 0, 0, 0, 64, 0, 136, -144, 0, -160, 0, 0, 0, 0, 0, 0, 0, -80, 48, 0, 0, 144, -48, 0, 0, 0, -96, 0, 192, -112, 0, 72, -64, 0, 0, 0, 0, 160, 0, -16, 0, 0, 176, -32, -168, 0, 0, 0, -88, 0, 0, 8, 0, 0, 112, 0, 0, 0, 0, 32, 0, 48, -368, 0, -184, 0, -264, 0, 0, 0, 0, 0, 176, 32, 0, 0, 16, -32, 0, 0, 0, 0, 0, 8, 200, 0, -48, 112, -64, 0, 0, 0, -248, 0, 184, 0, 0, -128, 56, -8, 0, 0, 0, -32, 0, 0, 264, 0, 0, 96, 0, 0, 0, 0, -136, 0, 32, 112, 0, 88, 0, 176, 0, 0, 0, 0, 0, -56, -184, 0, 0, -40, 288, 0, 0, 0, -128, 0, -168, 16, 0, 96, 272, 8, 0, 0, 0, 0, 0, 80, 0, 0, -32, 0, 136, 0, 0, 0, 0, 0, 0, 96, 0, -16, -24, 0, 0, 0, 0, 176, 0, -40, -88, 0, 552, 0, -48, 0, 0, 0, 0, 0, 80, -24, 0, 0, -64, 128, 0, 0, 0, 24, 0, 48, 24, 0, -336, 208, 136, 0, 0, 0, 112, 0, 32, 0, 0, 16, 200, -112, 0, 0, 0, 112, 0, 0, -200, 0, -392, 96, 0, 0, 0, 0, -400, 0, -184, -32, 0, -256, 0, -40, 0, 0, 0, 0, 0, -112, -40, 0, 0, 112, 48, 0, 0, 0, -392, 0, 88, -64, 0, 0, -96, -304, 0, 0, 0, 0, 0, 40, 0, 0, -96, 16, -496, 0, 0, 0, 288, 0, 0, 112, 0, -32, 32, 0, 0, 0, 0, -8, 0, 168, 416, 0, 32, 0, 96, 0, 0, 0, 0, 0, 160, 112, 0, 0, -8, 96, 0, 0, 0, -112, 0, 64, -256, 0, -200, 88, -184, 0, 0, 0, 0, 0, 72, 0, 0, -192, 168, 8, 0, 0, 0, -8, 0, 0, 96, 0, -144, -128, 0, 0, 0, 0, 280, 0, -96, 0, 0, -48, 0, 32, 0, 0, 0, 0, 0, -16, -296, 0, 0, 144, -320, 0, 0, 0, 40, 0, 144, -152, 0, 0, 96, 48, 0, 0, 0, -80, 0, 32, 0, 0, 384, -224, 200, 0, 0, 0, -232, 0, 0, -240, 0, 104, -264, 0, 0, 0, 0, 0, 0, 8, 304, 0, 64, 0, 144, 0, 0, 0, 0, 0, 112, 0, 0, 0, 384, 120, 0, 0, 0, -96, 0, 80, -376, 0, 264, 0, 336, 0, 0, 0, -400, 0, -144, 0, 0, 64, 336, -112, 0, 0, 0, -480, 0, 0, -480, 0, -192, 240, 0, 0, 0, 0, 80, 0, 48, 32, 0, -32, 0, 24, 0, 0, 0, 0, 0, 320, -424, 0, 0, -208, 256, 0, 0, 0, -40, 0, 344, -96, 0, 24, 608, -96, 0, 0, 0, -48, 0, -160, 0, 0, -256, -24, 352, 0, 0, 0, 56, 0, 0, -96, 0, 176, 32, 0, 0, 0, 0, -8, 0, 32, -48, 0, 264, 0, 240, 0, 0, 0, 0, 0, -32, -240, 0, 0, -216, -128, 0, 0, 0, -192, 0, 8, 128, 0, -208, 64, 72, 0, 0, 0, -176, 0, 224, 0, 0, -416, 16, -144, 0, 0, 0, 48, 0, 0, -232, 0, 544, -432, 0, 0, 0, 0, 424, 0, -392, 16, 0, 152, 0, -160, 0, 0, 0, 0, 0, 0, 352, 0, 0, 0, -8, 0, 0, 0, 280, 0, -32, 40, 0, -176, -624, 80, 0, 0, 0, 96, 0, -336, 0, 0, 192, 144, 56, 0, 0, 0, 248, 0, 0, 416, 0, -64, 392, 0, 0, 0, 0, 96, 0, 0, 176, 0, 24, 0, 16, 0, 0, 0, 0, 0, -120, 104, 0, 0, -112, 0, 0, 0, 0, -184, 0, -32, -176, 0, -368, 96, 200, 0, 0, 0, -48, 0, 272, 0, 0, -96, 112, 128, 0, 0, 0, 0, 0, 0, -200, 0, 344, 0, 0, 0, 0, 0, -368, 0, 288, 64, 0, -16, 0, 24, 0, 0, 0, 0, 0, 0, 120, 0, 0, -128, -496, 0, 0, 0, 240, 0, -544, 368, 0, 40, 136, 304, 0, 0, 0, -96, 0, 80, 0, 0, -672, -120, 64, 0, 0, 0, -168, 0, 0, 0, 0, 16, -584, 0, 0, 0, 0, -144, 0, -216, 80, 0, -784, 0, 352, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 44494805
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 43, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 18015223176758018, 'source_is_minimal': True, 'source_label': '770.2.m.e.43.3', 'source_level': 770, 'target_conrey_index': 43, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18015223176758018, 'target_is_minimal': True, 'target_label': '770.2.m.e.43.3', 'target_level': 770, 'twist_class_label': '770.2.m.e.43.3', 'twist_class_level': 770, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 44494806
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 43, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 18015223176758018, 'source_is_minimal': True, 'source_label': '770.2.m.e.43.3', 'source_level': 770, 'target_conrey_index': 197, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 18015223176758018, 'target_is_minimal': True, 'target_label': '770.2.m.e.197.7', 'target_level': 770, 'twist_class_label': '770.2.m.e.43.3', 'twist_class_level': 770, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44494807
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 43, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 18015223176758018, 'source_is_minimal': True, 'source_label': '770.2.m.e.43.3', 'source_level': 770, 'target_conrey_index': 43, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 18015223176758018, 'target_is_minimal': True, 'target_label': '770.2.m.e.43.7', 'target_level': 770, 'twist_class_label': '770.2.m.e.43.3', 'twist_class_level': 770, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 44494808
{'conductor': 55, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 43, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 18015223176758018, 'source_is_minimal': True, 'source_label': '770.2.m.e.43.3', 'source_level': 770, 'target_conrey_index': 197, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18015223176758018, 'target_is_minimal': True, 'target_label': '770.2.m.e.197.3', 'target_level': 770, 'twist_class_label': '770.2.m.e.43.3', 'twist_class_level': 770, 'twisting_char_label': '55.32', 'twisting_conrey_index': 32, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1307875
{'charpoly_factorization': [[[1, 0, 0, 0, 1], 4]], 'hecke_orbit_code': 18015223176758018, 'p': 2}
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id: 1307876
{'charpoly_factorization': [[[324, 720, 800, 392, 100, 8, 8, 4, 1], 2]], 'hecke_orbit_code': 18015223176758018, 'p': 3}
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id: 1307877
{'charpoly_factorization': [[[625, 500, 100, -40, -32, -8, 4, 4, 1], 2]], 'hecke_orbit_code': 18015223176758018, 'p': 5}
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id: 1307878
{'charpoly_factorization': [[[1, 0, 0, 0, 1], 4]], 'hecke_orbit_code': 18015223176758018, 'p': 7}
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id: 1307879
{'charpoly_factorization': [[[14641, 5324, 1452, 220, 94, 20, 12, 4, 1], 2]], 'hecke_orbit_code': 18015223176758018, 'p': 11}
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id: 1307880
{'charpoly_factorization': [[[126247696, 0, 0, 0, 8197024, 0, 0, 0, 143960, 0, 0, 0, 744, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 18015223176758018, 'p': 13}
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id: 1307881
{'charpoly_factorization': [[[303595776, 0, 0, 0, 21971200, 0, 0, 0, 276576, 0, 0, 0, 1040, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 18015223176758018, 'p': 17}
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id: 1307882
{'charpoly_factorization': [[[324, 0, -2144, 0, 516, 0, -40, 0, 1], 2]], 'hecke_orbit_code': 18015223176758018, 'p': 19}
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id: 1307883
{'charpoly_factorization': [[[1336336, -1165248, 508032, -62848, 4248, -304, 128, -16, 1], 2]], 'hecke_orbit_code': 18015223176758018, 'p': 23}
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id: 1307884
{'charpoly_factorization': [[[1763584, 0, -231168, 0, 10208, 0, -176, 0, 1], 2]], 'hecke_orbit_code': 18015223176758018, 'p': 29}
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id: 1307885
{'charpoly_factorization': [[[132, 16, -28, 0, 1], 4]], 'hecke_orbit_code': 18015223176758018, 'p': 31}
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id: 1307886
{'charpoly_factorization': [[[484416, 144768, 21632, 3392, 5488, 1744, 288, 24, 1], 2]], 'hecke_orbit_code': 18015223176758018, 'p': 37}
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id: 1307887
{'charpoly_factorization': [[[126736, 0, 68320, 0, 4824, 0, 120, 0, 1], 2]], 'hecke_orbit_code': 18015223176758018, 'p': 41}
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id: 1307888
{'charpoly_factorization': [[[6553600000000, 0, 0, 0, 190709760000, 0, 0, 0, 291004416, 0, 0, 0, 33536, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 18015223176758018, 'p': 43}
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id: 1307889
{'charpoly_factorization': [[[1936, 7040, 12800, 7040, 2024, 160, 0, 0, 1], 2]], 'hecke_orbit_code': 18015223176758018, 'p': 47}
-
id: 1307890
{'charpoly_factorization': [[[10086976, -660608, 21632, 4544, 14384, -944, 32, 8, 1], 2]], 'hecke_orbit_code': 18015223176758018, 'p': 53}
-
id: 1307891
{'charpoly_factorization': [[[142229476, 0, 5734480, 0, 81452, 0, 480, 0, 1], 2]], 'hecke_orbit_code': 18015223176758018, 'p': 59}
-
id: 1307892
{'charpoly_factorization': [[[1295044, 0, 1346272, 0, 39804, 0, 360, 0, 1], 2]], 'hecke_orbit_code': 18015223176758018, 'p': 61}
-
id: 1307893
{'charpoly_factorization': [[[6718464, 3151872, 739328, 23296, -4160, -448, 288, -24, 1], 2]], 'hecke_orbit_code': 18015223176758018, 'p': 67}
-
id: 1307894
{'charpoly_factorization': [[[4444, -776, -108, 12, 1], 4]], 'hecke_orbit_code': 18015223176758018, 'p': 71}
-
id: 1307895
{'charpoly_factorization': [[[218889236736, 0, 0, 0, 3511600384, 0, 0, 0, 9023840, 0, 0, 0, 6864, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 18015223176758018, 'p': 73}
-
id: 1307896
{'charpoly_factorization': [[[255872016, 0, -8603744, 0, 103832, 0, -536, 0, 1], 2]], 'hecke_orbit_code': 18015223176758018, 'p': 79}
-
id: 1307897
{'charpoly_factorization': [[[218794862224656, 0, 0, 0, 4284552215392, 0, 0, 0, 1092023768, 0, 0, 0, 61912, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 18015223176758018, 'p': 83}
-
id: 1307898
{'charpoly_factorization': [[[4596736, 0, 695296, 0, 28352, 0, 384, 0, 1], 2]], 'hecke_orbit_code': 18015223176758018, 'p': 89}
-
id: 1307899
{'charpoly_factorization': [[[278784, 33792, 2048, -3584, 2080, -64, 0, 0, 1], 2]], 'hecke_orbit_code': 18015223176758018, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 13, 'hecke_orbit': 5, 'label': '770.2.m.e', 'level': 770, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 41388595
{'hecke_orbit_code': 18015223176758018, 'n': 1, 'trace_an': 16}
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id: 41388596
{'hecke_orbit_code': 18015223176758018, 'n': 2, 'trace_an': 0}
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id: 41388597
{'hecke_orbit_code': 18015223176758018, 'n': 3, 'trace_an': -8}
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id: 41388598
{'hecke_orbit_code': 18015223176758018, 'n': 4, 'trace_an': 0}
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id: 41388599
{'hecke_orbit_code': 18015223176758018, 'n': 5, 'trace_an': -8}
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id: 41388600
{'hecke_orbit_code': 18015223176758018, 'n': 6, 'trace_an': 0}
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id: 41388601
{'hecke_orbit_code': 18015223176758018, 'n': 7, 'trace_an': 0}
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id: 41388602
{'hecke_orbit_code': 18015223176758018, 'n': 8, 'trace_an': 0}
-
id: 41388603
{'hecke_orbit_code': 18015223176758018, 'n': 9, 'trace_an': 0}
-
id: 41388604
{'hecke_orbit_code': 18015223176758018, 'n': 10, 'trace_an': 0}
-
id: 41388605
{'hecke_orbit_code': 18015223176758018, 'n': 11, 'trace_an': -8}
-
id: 41388606
{'hecke_orbit_code': 18015223176758018, 'n': 12, 'trace_an': 8}
-
id: 41388607
{'hecke_orbit_code': 18015223176758018, 'n': 13, 'trace_an': 0}
-
id: 41388608
{'hecke_orbit_code': 18015223176758018, 'n': 14, 'trace_an': 0}
-
id: 41388609
{'hecke_orbit_code': 18015223176758018, 'n': 15, 'trace_an': 24}
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id: 41388610
{'hecke_orbit_code': 18015223176758018, 'n': 16, 'trace_an': -16}
-
id: 41388611
{'hecke_orbit_code': 18015223176758018, 'n': 17, 'trace_an': 0}
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id: 41388612
{'hecke_orbit_code': 18015223176758018, 'n': 18, 'trace_an': 0}
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id: 41388613
{'hecke_orbit_code': 18015223176758018, 'n': 19, 'trace_an': 0}
-
id: 41388614
{'hecke_orbit_code': 18015223176758018, 'n': 20, 'trace_an': 16}
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id: 41388615
{'hecke_orbit_code': 18015223176758018, 'n': 21, 'trace_an': 0}
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id: 41388616
{'hecke_orbit_code': 18015223176758018, 'n': 22, 'trace_an': -8}
-
id: 41388617
{'hecke_orbit_code': 18015223176758018, 'n': 23, 'trace_an': 32}
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id: 41388618
{'hecke_orbit_code': 18015223176758018, 'n': 24, 'trace_an': 0}
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id: 41388619
{'hecke_orbit_code': 18015223176758018, 'n': 25, 'trace_an': 16}
-
id: 41388620
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id: 41388828
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id: 41388829
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id: 41388830
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id: 41388831
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id: 41388832
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id: 41388833
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id: 41388834
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id: 41388835
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id: 41388836
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id: 41388837
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id: 41388838
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id: 41388839
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id: 41388840
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id: 41388841
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id: 41388842
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id: 41388843
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id: 41388844
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id: 41388845
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id: 41388846
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id: 41388847
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id: 41388848
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id: 41388849
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id: 41388850
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id: 41388851
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id: 41388852
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