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mf_newforms • Show schema
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{'Nk2': 3920, 'analytic_conductor': 14.455467951406451, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [245, 3, [197, 101], [3, 2]], 'cm_discs': [], 'conrey_index': 116, 'dim': 4, 'field_disc': 576, 'field_disc_factorization': [[2, 6], [3, 2]], 'field_poly': [4, 0, 2, 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': [[2, [196, 112, 50, 8, 1]], [3, [961, -62, 35, 2, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525472336609525, 'hecke_ring_generator_nbound': 4, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '245.4.e.h', 'level': 245, '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': [5, 7], 'level_radical': 35, 'minimal_twist': '35.4.a.b', 'nf_label': '4.0.576.2', 'prim_orbit_index': 3, 'qexp_display': 'q+(-\\beta _{1}+4\\beta _{2}-\\beta _{3})q^{2}+(-1-4\\beta _{1}+\\cdots)q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '3.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '245.4.e', 'trace_display': [-8, -2, 10, 0], 'trace_hash': 295023104435321901, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.800', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '52.309', 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mf_hecke_cc • Show schema
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4}
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mf_newspaces • Show schema
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{'Nk2': 3920, 'analytic_conductor': 14.455467951406451, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [245, 3, [197, 101], [3, 2]], 'conrey_index': 116, 'cusp_dim': 152, 'dim': 80, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 274945016053, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 6, 6, 10, 12, 12], 'label': '245.4.e', 'level': 245, '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': [5, 7], 'level_radical': 35, 'mf_dim': 184, 'mf_new_dim': 80, 'num_forms': 17, 'prim_orbit_index': 3, 'relative_dim': 40, 'sturm_bound': 112, 'trace_bound': 3, 'trace_display': [-4, -12, -10, 0], 'traces': [80, -4, -12, -140, -10, -8, 0, -72, -406, -20, 46, -34, -48, 0, -80, -752, -132, -138, 18, 280, 0, 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mf_twists_cc • Show schema
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id: 46277851
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 226, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525472336609525, 'source_is_minimal': False, 'source_label': '245.4.e.h.226.2', 'source_level': 245, 'target_conrey_index': 226, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525472336609525, 'target_is_minimal': False, 'target_label': '245.4.e.h.226.2', 'target_level': 245, 'twist_class_label': '35.4.a.b.1.1', 'twist_class_level': 35, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 46277852
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 226, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525472336609525, 'source_is_minimal': False, 'source_label': '245.4.e.h.226.2', 'source_level': 245, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599694479395, 'target_is_minimal': True, 'target_label': '35.4.a.b.1.1', 'target_level': 35, 'twist_class_label': '35.4.a.b.1.1', 'twist_class_level': 35, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 46277853
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 226, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525472336609525, 'source_is_minimal': False, 'source_label': '245.4.e.h.226.2', 'source_level': 245, 'target_conrey_index': 116, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029071963980021, 'target_is_minimal': False, 'target_label': '245.4.e.i.116.2', 'target_level': 245, 'twist_class_label': '35.4.a.b.1.1', 'twist_class_level': 35, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 46277854
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 226, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525472336609525, 'source_is_minimal': False, 'source_label': '245.4.e.h.226.2', 'source_level': 245, 'target_conrey_index': 116, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525472336609525, 'target_is_minimal': False, 'target_label': '245.4.e.h.116.2', 'target_level': 245, 'twist_class_label': '35.4.a.b.1.1', 'twist_class_level': 35, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 46277855
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 226, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525472336609525, 'source_is_minimal': False, 'source_label': '245.4.e.h.226.2', 'source_level': 245, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45035996340814069, 'target_is_minimal': False, 'target_label': '245.4.a.k.1.1', 'target_level': 245, 'twist_class_label': '35.4.a.b.1.1', 'twist_class_level': 35, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 46277856
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 226, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525472336609525, 'source_is_minimal': False, 'source_label': '245.4.e.h.226.2', 'source_level': 245, 'target_conrey_index': 226, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029071963980021, 'target_is_minimal': False, 'target_label': '245.4.e.i.226.2', 'target_level': 245, 'twist_class_label': '35.4.a.b.1.1', 'twist_class_level': 35, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 4}
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id: 46277857
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 226, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525472336609525, 'source_is_minimal': False, 'source_label': '245.4.e.h.226.2', 'source_level': 245, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22517998203961659, 'target_is_minimal': False, 'target_label': '315.4.a.f.1.2', 'target_level': 315, 'twist_class_label': '35.4.a.b.1.1', 'twist_class_level': 35, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 46277858
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 226, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525472336609525, 'source_is_minimal': False, 'source_label': '245.4.e.h.226.2', 'source_level': 245, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 90071992614520989, 'target_is_minimal': False, 'target_label': '2205.4.a.u.1.2', 'target_level': 2205, 'twist_class_label': '35.4.a.b.1.1', 'twist_class_level': 35, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 46277859
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 226, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525472336609525, 'source_is_minimal': False, 'source_label': '245.4.e.h.226.2', 'source_level': 245, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561193732407856, 'target_is_minimal': False, 'target_label': '560.4.a.r.1.1', 'target_level': 560, 'twist_class_label': '35.4.a.b.1.1', 'twist_class_level': 35, 'twisting_char_label': '28.23', 'twisting_conrey_index': 23, 'weight': 4}
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id: 46277860
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 226, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525472336609525, 'source_is_minimal': False, 'source_label': '245.4.e.h.226.2', 'source_level': 245, 'target_conrey_index': 99, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007268041326767, 'target_is_minimal': False, 'target_label': '175.4.b.c.99.3', 'target_level': 175, 'twist_class_label': '35.4.a.b.1.1', 'twist_class_level': 35, 'twisting_char_label': '35.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 46277861
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 226, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525472336609525, 'source_is_minimal': False, 'source_label': '245.4.e.h.226.2', 'source_level': 245, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007199321850031, 'target_is_minimal': False, 'target_label': '175.4.a.c.1.2', 'target_level': 175, 'twist_class_label': '35.4.a.b.1.1', 'twist_class_level': 35, 'twisting_char_label': '35.9', 'twisting_conrey_index': 9, 'weight': 4}
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id: 46277862
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 226, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525472336609525, 'source_is_minimal': False, 'source_label': '245.4.e.h.226.2', 'source_level': 245, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043195595556041, 'target_is_minimal': False, 'target_label': '1225.4.a.m.1.2', 'target_level': 1225, 'twist_class_label': '35.4.a.b.1.1', 'twist_class_level': 35, 'twisting_char_label': '35.19', 'twisting_conrey_index': 19, 'weight': 4}
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id: 46277863
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 226, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525472336609525, 'source_is_minimal': False, 'source_label': '245.4.e.h.226.2', 'source_level': 245, 'target_conrey_index': 99, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007268041326767, 'target_is_minimal': False, 'target_label': '175.4.b.c.99.2', 'target_level': 175, 'twist_class_label': '35.4.a.b.1.1', 'twist_class_level': 35, 'twisting_char_label': '35.23', 'twisting_conrey_index': 23, 'weight': 4}
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id: 46277864
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 226, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525472336609525, 'source_is_minimal': False, 'source_label': '245.4.e.h.226.2', 'source_level': 245, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 175640385534560448, 'target_is_minimal': False, 'target_label': '2240.4.a.bn.1.1', 'target_level': 2240, 'twist_class_label': '35.4.a.b.1.1', 'twist_class_level': 35, 'twisting_char_label': '56.37', 'twisting_conrey_index': 37, 'weight': 4}
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id: 46277865
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 226, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525472336609525, 'source_is_minimal': False, 'source_label': '245.4.e.h.226.2', 'source_level': 245, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 180143985161930944, 'target_is_minimal': False, 'target_label': '2240.4.a.bo.1.2', 'target_level': 2240, 'twist_class_label': '35.4.a.b.1.1', 'twist_class_level': 35, 'twisting_char_label': '56.51', 'twisting_conrey_index': 51, 'weight': 4}
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id: 46277866
{'conductor': 105, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 226, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525472336609525, 'source_is_minimal': False, 'source_label': '245.4.e.h.226.2', 'source_level': 245, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 112589990751372839, 'target_is_minimal': False, 'target_label': '1575.4.a.z.1.1', 'target_level': 1575, 'twist_class_label': '35.4.a.b.1.1', 'twist_class_level': 35, 'twisting_char_label': '105.44', 'twisting_conrey_index': 44, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 577775
{'charpoly_factorization': [[[196, 112, 50, 8, 1], 1]], 'hecke_orbit_code': 31525472336609525, 'p': 2}
-
id: 577776
{'charpoly_factorization': [[[961, -62, 35, 2, 1], 1]], 'hecke_orbit_code': 31525472336609525, 'p': 3}
-
id: 577777
{'charpoly_factorization': [[[25, -5, 1], 2]], 'hecke_orbit_code': 31525472336609525, 'p': 5}
-
id: 577778
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 31525472336609525, 'p': 7}
-
id: 577779
{'charpoly_factorization': [[[3996001, 27986, 2195, -14, 1], 1]], 'hecke_orbit_code': 31525472336609525, 'p': 11}
-
id: 577780
{'charpoly_factorization': [[[593, -50, 1], 2]], 'hecke_orbit_code': 31525472336609525, 'p': 13}
-
id: 577781
{'charpoly_factorization': [[[10543009, 162350, 5747, -50, 1], 1]], 'hecke_orbit_code': 31525472336609525, 'p': 17}
-
id: 577782
{'charpoly_factorization': [[[12588304, -127728, 4844, 36, 1], 1]], 'hecke_orbit_code': 31525472336609525, 'p': 19}
-
id: 577783
{'charpoly_factorization': [[[31764496, 1375184, 53900, 244, 1], 1]], 'hecke_orbit_code': 31525472336609525, 'p': 23}
-
id: 577784
{'charpoly_factorization': [[[-983, 26, 1], 2]], 'hecke_orbit_code': 31525472336609525, 'p': 29}
-
id: 577785
{'charpoly_factorization': [[[3745440000, 7344000, 75600, -120, 1], 1]], 'hecke_orbit_code': 31525472336609525, 'p': 31}
-
id: 577786
{'charpoly_factorization': [[[5230760976, 40790736, 245772, 564, 1], 1]], 'hecke_orbit_code': 31525472336609525, 'p': 37}
-
id: 577787
{'charpoly_factorization': [[[-3856, 328, 1], 2]], 'hecke_orbit_code': 31525472336609525, 'p': 41}
-
id: 577788
{'charpoly_factorization': [[[7652, 260, 1], 2]], 'hecke_orbit_code': 31525472336609525, 'p': 43}
-
id: 577789
{'charpoly_factorization': [[[17833729, 1478050, 126723, -350, 1], 1]], 'hecke_orbit_code': 31525472336609525, 'p': 47}
-
id: 577790
{'charpoly_factorization': [[[1022976256, 1791104, 35120, -56, 1], 1]], 'hecke_orbit_code': 31525472336609525, 'p': 53}
-
id: 577791
{'charpoly_factorization': [[[379456, -616, 1], 2]], 'hecke_orbit_code': 31525472336609525, 'p': 59}
-
id: 577792
{'charpoly_factorization': [[[23970816, 1645056, 108000, 336, 1], 1]], 'hecke_orbit_code': 31525472336609525, 'p': 61}
-
id: 577793
{'charpoly_factorization': [[[5837056, 367232, 25520, -152, 1], 1]], 'hecke_orbit_code': 31525472336609525, 'p': 67}
-
id: 577794
{'charpoly_factorization': [[[952, 1], 4]], 'hecke_orbit_code': 31525472336609525, 'p': 71}
-
id: 577795
{'charpoly_factorization': [[[14988615184, -82761328, 579404, 676, 1], 1]], 'hecke_orbit_code': 31525472336609525, 'p': 73}
-
id: 577796
{'charpoly_factorization': [[[17966989681, 135917574, 894155, 1014, 1], 1]], 'hecke_orbit_code': 31525472336609525, 'p': 79}
-
id: 577797
{'charpoly_factorization': [[[-684656, 376, 1], 2]], 'hecke_orbit_code': 31525472336609525, 'p': 83}
-
id: 577798
{'charpoly_factorization': [[[60715264, -1683072, 38864, -216, 1], 1]], 'hecke_orbit_code': 31525472336609525, 'p': 89}
-
id: 577799
{'charpoly_factorization': [[[1782841, -2742, 1], 2]], 'hecke_orbit_code': 31525472336609525, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 8, 'label': '245.4.e.h', 'level': 245, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
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id: 49931491
{'hecke_orbit_code': 31525472336609525, 'n': 1, 'trace_an': 4}
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id: 49931492
{'hecke_orbit_code': 31525472336609525, 'n': 2, 'trace_an': -8}
-
id: 49931493
{'hecke_orbit_code': 31525472336609525, 'n': 3, 'trace_an': -2}
-
id: 49931494
{'hecke_orbit_code': 31525472336609525, 'n': 4, 'trace_an': -20}
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id: 49931495
{'hecke_orbit_code': 31525472336609525, 'n': 5, 'trace_an': 10}
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id: 49931496
{'hecke_orbit_code': 31525472336609525, 'n': 6, 'trace_an': -16}
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id: 49931497
{'hecke_orbit_code': 31525472336609525, 'n': 7, 'trace_an': 0}
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id: 49931498
{'hecke_orbit_code': 31525472336609525, 'n': 8, 'trace_an': 96}
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id: 49931499
{'hecke_orbit_code': 31525472336609525, 'n': 9, 'trace_an': -12}
-
id: 49931500
{'hecke_orbit_code': 31525472336609525, 'n': 10, 'trace_an': 40}
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id: 49931501
{'hecke_orbit_code': 31525472336609525, 'n': 11, 'trace_an': 14}
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id: 49931502
{'hecke_orbit_code': 31525472336609525, 'n': 12, 'trace_an': 108}
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id: 49931503
{'hecke_orbit_code': 31525472336609525, 'n': 13, 'trace_an': 100}
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id: 49931504
{'hecke_orbit_code': 31525472336609525, 'n': 14, 'trace_an': 0}
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id: 49931505
{'hecke_orbit_code': 31525472336609525, 'n': 15, 'trace_an': -20}
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id: 49931506
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