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mf_newforms • Show schema
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{'Nk2': 4800, 'analytic_conductor': 9.582048242553647, 'analytic_rank': 1, 'analytic_rank_proved': True, 'char_conductor': 15, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 22, 'char_orbit_label': 'v', 'char_order': 4, 'char_parity': 1, 'char_values': [1200, 4, [751, 901, 401, 577], [4, 4, 2, 1]], 'cm_discs': [], 'conrey_index': 257, 'conrey_indexes': [257, 593], 'dim': 4, 'field_disc': 256, 'field_disc_factorization': [[2, 8]], 'field_poly': [1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 8, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [8, 4, 1]], [11, [32, 0, 1]], [17, [256, 0, 0, 0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 1443142567088, 'hecke_ring_generator_nbound': 7, '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, 5, 3, -1, 4, 0], [1, 1, 3, 2, -1, 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mf_hecke_nf • Show schema
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-32, 0], [0, 36, 0, -36], [0, -8, 0, -8], [0, -66, 0, 0], [0, 0, 0, -20], [0, -4, 0, -4], [40, 0, 40, 0], [0, 40, 0, -40], [40, 0, 0, 0], [0, 0, 0, -16], [0, 28, 0, -28], [30, 0, -30, 0], [-48, 0, -48, 0], [0, -16, 0, 0], [0, 0, -56, 0]], 'char_orbit_index': 22, 'field_poly': [1, 0, 0, 0, 1], 'hecke_orbit_code': 1443142567088, 'hecke_ring_character_values': [[751, [1, 0, 0, 0]], [901, [1, 0, 0, 0]], [401, [-1, 0, 0, 0]], [577, [0, 0, -1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 4, 'label': '1200.2.v.a', 'level': 1200, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
Hide schema
{'Nk2': 4800, 'analytic_conductor': 9.582048242553647, 'char_conductor': 15, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 22, 'char_orbit_label': 'v', 'char_order': 4, 'char_parity': 1, 'char_values': [1200, 4, [751, 901, 401, 577], [4, 4, 2, 1]], 'conrey_index': 257, 'cusp_dim': 408, 'dim': 68, 'eis_dim': 144, 'eis_new_dim': 8, 'hecke_cutter_primes': [7, 11, 17], 'hecke_orbit_code': 1443142567088, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 16], 'label': '1200.2.v', 'level': 1200, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 552, 'mf_new_dim': 76, 'num_forms': 13, 'prim_orbit_index': 5, 'relative_dim': 34, 'sturm_bound': 480, 'trace_bound': 21, 'trace_display': [0, -2, 0, -4], 'traces': [68, 0, -2, 0, 0, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -14, 0, 0, 0, 24, 0, -4, 0, 0, 0, 20, 0, 0, 0, 0, 0, 12, 0, 0, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 671770
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 22, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1200.2.v.a', 'source_level': 1200, 'target_char_orbit': 18, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '600.2.r.a', 'target_level': 600, 'twist_class_label': '600.2.r.a', 'twist_class_level': 600, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 671771
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 22, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1200.2.v.a', 'source_level': 1200, 'target_char_orbit': 18, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '600.2.r.a', 'target_level': 600, 'twist_class_label': '600.2.r.a', 'twist_class_level': 600, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 671772
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 22, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1200.2.v.a', 'source_level': 1200, 'target_char_orbit': 18, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '600.2.r.a', 'target_level': 600, 'twist_class_label': '600.2.r.a', 'twist_class_level': 600, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 671773
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 22, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1200.2.v.a', 'source_level': 1200, 'target_char_orbit': 18, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '600.2.r.a', 'target_level': 600, 'twist_class_label': '600.2.r.a', 'twist_class_level': 600, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 671774
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 22, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1200.2.v.a', 'source_level': 1200, 'target_char_orbit': 18, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '600.2.r.e', 'target_level': 600, 'twist_class_label': '600.2.r.a', 'twist_class_level': 600, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 671775
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 22, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1200.2.v.a', 'source_level': 1200, 'target_char_orbit': 18, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '600.2.r.e', 'target_level': 600, 'twist_class_label': '600.2.r.a', 'twist_class_level': 600, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 671776
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 22, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1200.2.v.a', 'source_level': 1200, 'target_char_orbit': 18, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '600.2.r.e', 'target_level': 600, 'twist_class_label': '600.2.r.a', 'twist_class_level': 600, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 671777
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 22, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1200.2.v.a', 'source_level': 1200, 'target_char_orbit': 18, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '600.2.r.e', 'target_level': 600, 'twist_class_label': '600.2.r.a', 'twist_class_level': 600, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 671778
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 22, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1200.2.v.a', 'source_level': 1200, 'target_char_orbit': 22, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1200.2.v.a', 'target_level': 1200, 'twist_class_label': '600.2.r.a', 'twist_class_level': 600, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 671779
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 22, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1200.2.v.a', 'source_level': 1200, 'target_char_orbit': 22, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1200.2.v.a', 'target_level': 1200, 'twist_class_label': '600.2.r.a', 'twist_class_level': 600, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 671780
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 22, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1200.2.v.a', 'source_level': 1200, 'target_char_orbit': 22, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1200.2.v.a', 'target_level': 1200, 'twist_class_label': '600.2.r.a', 'twist_class_level': 600, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 671781
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 22, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1200.2.v.a', 'source_level': 1200, 'target_char_orbit': 22, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1200.2.v.a', 'target_level': 1200, 'twist_class_label': '600.2.r.a', 'twist_class_level': 600, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 671782
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 22, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1200.2.v.a', 'source_level': 1200, 'target_char_orbit': 22, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1200.2.v.k', 'target_level': 1200, 'twist_class_label': '600.2.r.a', 'twist_class_level': 600, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 671783
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 22, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1200.2.v.a', 'source_level': 1200, 'target_char_orbit': 22, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1200.2.v.k', 'target_level': 1200, 'twist_class_label': '600.2.r.a', 'twist_class_level': 600, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 671784
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 22, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1200.2.v.a', 'source_level': 1200, 'target_char_orbit': 22, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1200.2.v.k', 'target_level': 1200, 'twist_class_label': '600.2.r.a', 'twist_class_level': 600, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 671785
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 22, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1200.2.v.a', 'source_level': 1200, 'target_char_orbit': 22, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1200.2.v.k', 'target_level': 1200, 'twist_class_label': '600.2.r.a', 'twist_class_level': 600, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1761950
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 1443142567088, 'p': 2}
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id: 1761951
{'charpoly_factorization': [[[9, 12, 8, 4, 1], 1]], 'hecke_orbit_code': 1443142567088, 'p': 3}
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id: 1761952
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 1443142567088, 'p': 5}
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id: 1761953
{'charpoly_factorization': [[[8, 4, 1], 2]], 'hecke_orbit_code': 1443142567088, 'p': 7}
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id: 1761954
{'charpoly_factorization': [[[32, 0, 1], 2]], 'hecke_orbit_code': 1443142567088, 'p': 11}
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id: 1761955
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 1443142567088, 'p': 13}
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id: 1761956
{'charpoly_factorization': [[[256, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 1443142567088, 'p': 17}
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id: 1761957
{'charpoly_factorization': [[[16, 0, 1], 2]], 'hecke_orbit_code': 1443142567088, 'p': 19}
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id: 1761958
{'charpoly_factorization': [[[1296, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 1443142567088, 'p': 23}
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id: 1761959
{'charpoly_factorization': [[[-32, 0, 1], 2]], 'hecke_orbit_code': 1443142567088, 'p': 29}
-
id: 1761960
{'charpoly_factorization': [[[8, 1], 4]], 'hecke_orbit_code': 1443142567088, 'p': 31}
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id: 1761961
{'charpoly_factorization': [[[128, 16, 1], 2]], 'hecke_orbit_code': 1443142567088, 'p': 37}
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id: 1761962
{'charpoly_factorization': [[[32, 0, 1], 2]], 'hecke_orbit_code': 1443142567088, 'p': 41}
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id: 1761963
{'charpoly_factorization': [[[8, 4, 1], 2]], 'hecke_orbit_code': 1443142567088, 'p': 43}
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id: 1761964
{'charpoly_factorization': [[[16, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 1443142567088, 'p': 47}
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id: 1761965
{'charpoly_factorization': [[[4096, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 1443142567088, 'p': 53}
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id: 1761966
{'charpoly_factorization': [[[-32, 0, 1], 2]], 'hecke_orbit_code': 1443142567088, 'p': 59}
-
id: 1761967
{'charpoly_factorization': [[[6, 1], 4]], 'hecke_orbit_code': 1443142567088, 'p': 61}
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id: 1761968
{'charpoly_factorization': [[[72, 12, 1], 2]], 'hecke_orbit_code': 1443142567088, 'p': 67}
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id: 1761969
{'charpoly_factorization': [[[128, 0, 1], 2]], 'hecke_orbit_code': 1443142567088, 'p': 71}
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id: 1761970
{'charpoly_factorization': [[[128, 16, 1], 2]], 'hecke_orbit_code': 1443142567088, 'p': 73}
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id: 1761971
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 1443142567088, 'p': 79}
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id: 1761972
{'charpoly_factorization': [[[38416, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 1443142567088, 'p': 83}
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id: 1761973
{'charpoly_factorization': [[[-128, 0, 1], 2]], 'hecke_orbit_code': 1443142567088, 'p': 89}
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id: 1761974
{'charpoly_factorization': [[[128, -16, 1], 2]], 'hecke_orbit_code': 1443142567088, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 22, 'hecke_orbit': 1, 'label': '1200.2.v.a', 'level': 1200, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 50702000
{'hecke_orbit_code': 1443142567088, 'n': 1, 'trace_an': 4}
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id: 50702001
{'hecke_orbit_code': 1443142567088, 'n': 2, 'trace_an': 0}
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id: 50702002
{'hecke_orbit_code': 1443142567088, 'n': 3, 'trace_an': -4}
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id: 50702003
{'hecke_orbit_code': 1443142567088, 'n': 4, 'trace_an': 0}
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id: 50702004
{'hecke_orbit_code': 1443142567088, 'n': 5, 'trace_an': 0}
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id: 50702005
{'hecke_orbit_code': 1443142567088, 'n': 6, 'trace_an': 0}
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id: 50702006
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