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mf_newforms • Show schema
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{'Nk2': 4200, 'analytic_conductor': 8.38429221223444, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [1050, 3, [701, 127, 451], [3, 3, 2]], 'cm_discs': [], 'conrey_index': 151, 'conrey_indexes': [151, 751], 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[11, [0, 1]], [13, [-4, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525747180962842, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1050.2.i.h', 'level': 1050, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'minimal_twist': '1050.2.i.h', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q-\\zeta_{6}q^{2}+(1-\\zeta_{6})q^{3}+(-1+\\zeta_{6})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1050.2.i', 'trace_display': [-1, 1, 0, 1], 'trace_hash': 2151266380112567295, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.030', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '12.452', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '116.188', 'prec': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 4200, 'analytic_conductor': 8.38429221223444, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [1050, 3, [701, 127, 451], [3, 3, 2]], 'conrey_index': 151, 'cusp_dim': 432, 'dim': 52, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13], 'hecke_orbit_code': 549789369370, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6], 'label': '1050.2.i', 'level': 1050, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 528, 'mf_new_dim': 52, 'num_forms': 22, 'prim_orbit_index': 3, 'relative_dim': 26, 'sturm_bound': 480, 'trace_bound': 13, 'trace_display': [0, 0, 0, -6], 'traces': [52, 0, 0, -26, 0, 4, -6, 0, -26, 0, 8, 0, -8, 0, 0, -26, -12, 0, -8, 0, 8, 12, -4, -2, 0, 4, 0, 6, 8, 0, 26, 0, 6, 24, 0, 52, 12, 4, 0, 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mf_twists_cc • Show schema
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id: 46330155
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 751, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962842, 'source_is_minimal': True, 'source_label': '1050.2.i.h.751.1', 'source_level': 1050, 'target_conrey_index': 751, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525747180962842, 'target_is_minimal': True, 'target_label': '1050.2.i.h.751.1', 'target_level': 1050, 'twist_class_label': '1050.2.i.h.151.1', 'twist_class_level': 1050, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46330156
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 751, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962842, 'source_is_minimal': True, 'source_label': '1050.2.i.h.751.1', 'source_level': 1050, 'target_conrey_index': 499, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015360615711770, 'target_is_minimal': False, 'target_label': '1050.2.o.e.499.1', 'target_level': 1050, 'twist_class_label': '1050.2.i.h.151.1', 'twist_class_level': 1050, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46330157
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 751, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962842, 'source_is_minimal': True, 'source_label': '1050.2.i.h.751.1', 'source_level': 1050, 'target_conrey_index': 499, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18015360615711770, 'target_is_minimal': False, 'target_label': '1050.2.o.e.499.2', 'target_level': 1050, 'twist_class_label': '1050.2.i.h.151.1', 'twist_class_level': 1050, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46330158
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 751, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962842, 'source_is_minimal': True, 'source_label': '1050.2.i.h.751.1', 'source_level': 1050, 'target_conrey_index': 751, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043745317815322, 'target_is_minimal': True, 'target_label': '1050.2.i.m.751.1', 'target_level': 1050, 'twist_class_label': '1050.2.i.h.151.1', 'twist_class_level': 1050, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46330159
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 751, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962842, 'source_is_minimal': True, 'source_label': '1050.2.i.h.751.1', 'source_level': 1050, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 225179981402086582, 'target_is_minimal': False, 'target_label': '7350.2.a.by.1.1', 'target_level': 7350, 'twist_class_label': '1050.2.i.h.151.1', 'twist_class_level': 1050, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46330160
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 751, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962842, 'source_is_minimal': True, 'source_label': '1050.2.i.h.751.1', 'source_level': 1050, 'target_conrey_index': 151, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525747180962842, 'target_is_minimal': True, 'target_label': '1050.2.i.h.151.1', 'target_level': 1050, 'twist_class_label': '1050.2.i.h.151.1', 'twist_class_level': 1050, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46330161
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 751, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962842, 'source_is_minimal': True, 'source_label': '1050.2.i.h.751.1', 'source_level': 1050, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 306244774694755510, 'target_is_minimal': False, 'target_label': '7350.2.a.cq.1.1', 'target_level': 7350, 'twist_class_label': '1050.2.i.h.151.1', 'twist_class_level': 1050, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46330162
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 751, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962842, 'source_is_minimal': True, 'source_label': '1050.2.i.h.751.1', 'source_level': 1050, 'target_conrey_index': 151, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043745317815322, 'target_is_minimal': True, 'target_label': '1050.2.i.m.151.1', 'target_level': 1050, 'twist_class_label': '1050.2.i.h.151.1', 'twist_class_level': 1050, 'twisting_char_label': '35.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46330163
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 751, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962842, 'source_is_minimal': True, 'source_label': '1050.2.i.h.751.1', 'source_level': 1050, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 121597189972565174, 'target_is_minimal': False, 'target_label': '7350.2.a.bb.1.1', 'target_level': 7350, 'twist_class_label': '1050.2.i.h.151.1', 'twist_class_level': 1050, 'twisting_char_label': '35.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 46330164
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 751, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962842, 'source_is_minimal': True, 'source_label': '1050.2.i.h.751.1', 'source_level': 1050, 'target_conrey_index': 949, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015360615711770, 'target_is_minimal': False, 'target_label': '1050.2.o.e.949.1', 'target_level': 1050, 'twist_class_label': '1050.2.i.h.151.1', 'twist_class_level': 1050, 'twisting_char_label': '35.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 46330165
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 751, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962842, 'source_is_minimal': True, 'source_label': '1050.2.i.h.751.1', 'source_level': 1050, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58546795189378230, 'target_is_minimal': False, 'target_label': '7350.2.a.n.1.1', 'target_level': 7350, 'twist_class_label': '1050.2.i.h.151.1', 'twist_class_level': 1050, 'twisting_char_label': '35.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 46330166
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 751, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525747180962842, 'source_is_minimal': True, 'source_label': '1050.2.i.h.751.1', 'source_level': 1050, 'target_conrey_index': 949, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18015360615711770, 'target_is_minimal': False, 'target_label': '1050.2.o.e.949.2', 'target_level': 1050, 'twist_class_label': '1050.2.i.h.151.1', 'twist_class_level': 1050, 'twisting_char_label': '35.32', 'twisting_conrey_index': 32, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1631300
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 31525747180962842, 'p': 2}
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id: 1631301
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 31525747180962842, 'p': 3}
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id: 1631302
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31525747180962842, 'p': 5}
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id: 1631303
{'charpoly_factorization': [[[7, -1, 1], 1]], 'hecke_orbit_code': 31525747180962842, 'p': 7}
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id: 1631304
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31525747180962842, 'p': 11}
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id: 1631305
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 31525747180962842, 'p': 13}
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id: 1631306
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 31525747180962842, 'p': 17}
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id: 1631307
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 31525747180962842, 'p': 19}
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id: 1631308
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 31525747180962842, 'p': 23}
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id: 1631309
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31525747180962842, 'p': 29}
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id: 1631310
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 31525747180962842, 'p': 31}
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id: 1631311
{'charpoly_factorization': [[[100, 10, 1], 1]], 'hecke_orbit_code': 31525747180962842, 'p': 37}
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id: 1631312
{'charpoly_factorization': [[[9, 1], 2]], 'hecke_orbit_code': 31525747180962842, 'p': 41}
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id: 1631313
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 31525747180962842, 'p': 43}
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id: 1631314
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 31525747180962842, 'p': 47}
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id: 1631315
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 31525747180962842, 'p': 53}
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id: 1631316
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 31525747180962842, 'p': 59}
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id: 1631317
{'charpoly_factorization': [[[64, 8, 1], 1]], 'hecke_orbit_code': 31525747180962842, 'p': 61}
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id: 1631318
{'charpoly_factorization': [[[16, 4, 1], 1]], 'hecke_orbit_code': 31525747180962842, 'p': 67}
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id: 1631319
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 31525747180962842, 'p': 71}
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id: 1631320
{'charpoly_factorization': [[[196, -14, 1], 1]], 'hecke_orbit_code': 31525747180962842, 'p': 73}
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id: 1631321
{'charpoly_factorization': [[[121, 11, 1], 1]], 'hecke_orbit_code': 31525747180962842, 'p': 79}
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id: 1631322
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31525747180962842, 'p': 83}
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id: 1631323
{'charpoly_factorization': [[[225, -15, 1], 1]], 'hecke_orbit_code': 31525747180962842, 'p': 89}
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id: 1631324
{'charpoly_factorization': [[[-7, 1], 2]], 'hecke_orbit_code': 31525747180962842, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 8, 'label': '1050.2.i.h', 'level': 1050, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 194065000
{'hecke_orbit_code': 31525747180962842, 'n': 1, 'trace_an': 2}
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id: 194065001
{'hecke_orbit_code': 31525747180962842, 'n': 2, 'trace_an': -1}
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id: 194065002
{'hecke_orbit_code': 31525747180962842, 'n': 3, 'trace_an': 1}
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id: 194065003
{'hecke_orbit_code': 31525747180962842, 'n': 4, 'trace_an': -1}
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id: 194065004
{'hecke_orbit_code': 31525747180962842, 'n': 5, 'trace_an': 0}
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id: 194065005
{'hecke_orbit_code': 31525747180962842, 'n': 6, 'trace_an': -2}
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id: 194065006
{'hecke_orbit_code': 31525747180962842, 'n': 7, 'trace_an': 1}
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id: 194065007
{'hecke_orbit_code': 31525747180962842, 'n': 8, 'trace_an': 2}
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id: 194065008
{'hecke_orbit_code': 31525747180962842, 'n': 9, 'trace_an': -1}
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id: 194065009
{'hecke_orbit_code': 31525747180962842, 'n': 10, 'trace_an': 0}
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id: 194065010
{'hecke_orbit_code': 31525747180962842, 'n': 11, 'trace_an': 0}
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id: 194065011
{'hecke_orbit_code': 31525747180962842, 'n': 12, 'trace_an': 1}
-
id: 194065012
{'hecke_orbit_code': 31525747180962842, 'n': 13, 'trace_an': 8}
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id: 194065013
{'hecke_orbit_code': 31525747180962842, 'n': 14, 'trace_an': -5}
-
id: 194065014
{'hecke_orbit_code': 31525747180962842, 'n': 15, 'trace_an': 0}
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id: 194065015
{'hecke_orbit_code': 31525747180962842, 'n': 16, 'trace_an': -1}
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id: 194065016
{'hecke_orbit_code': 31525747180962842, 'n': 17, 'trace_an': 3}
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id: 194065017
{'hecke_orbit_code': 31525747180962842, 'n': 18, 'trace_an': -1}
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id: 194065018
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