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mf_newforms • Show schema
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{'Nk2': 1428, 'analytic_conductor': 2.8506593521597097, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 17, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [357, 2, [239, 52, 190], [2, 2, 1]], 'cm_discs': [], 'conrey_index': 169, 'dim': 6, 'field_disc': -350464, 'field_disc_factorization': [[-1, 1], [2, 8], [37, 2]], 'field_poly': [2, -4, 4, 2, 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': [[2, [2, -2, -2, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 343630938469, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 17, 2, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 1428, 'analytic_conductor': 2.8506593521597097, 'char_conductor': 17, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [357, 2, [239, 52, 190], [2, 2, 1]], 'conrey_index': 169, 'cusp_dim': 44, 'dim': 16, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 343630938469, 'hecke_orbit_dims': [6, 10], 'label': '357.2.f', 'level': 357, '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': [3, 7, 17], 'level_radical': 357, 'mf_dim': 52, 'mf_new_dim': 16, 'num_forms': 2, 'prim_orbit_index': 2, 'relative_dim': 16, 'sturm_bound': 96, 'trace_bound': 1, 'trace_display': [4, 0, 0, 0], 'traces': [16, 4, 0, 20, 0, 0, 0, 12, -16, 0, 0, 0, 4, 0, 12, 12, -16, -4, -20, 0, -4, 0, 0, 0, -28, -24, 0, 0, 0, 0, 0, -12, 4, 24, 0, -20, 0, 16, 0, 0, 0, 4, 4, 0, 0, 0, 40, 0, -16, -68, 8, 64, -24, 0, 12, 0, 0, 0, -24, 24, 0, 0, 0, -36, 0, 16, -32, 16, -36, 0, 0, -12, 0, 0, 0, -64, -16, 0, 0, 0, 16, 0, 16, -12, 20, 80, 24, 0, 32, 0, 0, 0, -32, 0, 0, 0, 0, -4, 0, -20, 56, 4, 28, -80, 0, -8, 0, 0, 0, 40, 8, 0, 0, 0, 28, 0, -4, 48, 12, 32, 84, 0, -12, 0, 0, 0, 92, -76, 0, 0, 0, -56, 0, -8, -12, -40, 56, -40, 0, 56, 0, 0, 0, -12, -8, 0, 0, 0, -72, 0, 64, 0, 16, -16, -80, 0, -44, 0, 0, 0, 8, 4, 0, 0, 0, -112, 0, 12, 12, -8, 20, -104, 0, 32, 0, 0, 0, -144, -16, 0, 0, 0, -40, 0, -88, 40, -4, -8, 4, 0, 64, 0, 0, 0, -28, -20, 0, 0, 0, -92, 0, 112, 16, 12, 36, 56, 0, 8, 0, 0, 0, -16, 16, 0, 0, 0, -24, 0, -16, 104, 64, 104, -84, 0, 28, 0, 0, 0, -16, 256, 0, 0, 0, 24, 0, -24, 16, -4, -104, -8, 0, 28, 0, 0, 0, 56, 36, 0, 0, 0, 0, 0, -12, 104, 32, -132, 176, 0, -24, 0, 0, 0, 0, 16, 0, 0, 0, 112, 0, 0, -60, -24, -8, -72, 0, -24, 0, 0, 0, 72, -144, 0, 0, 0, -44, 0, 16, 12, -16, 184, 32, 0, -88, 0, 0, 0, -4, 24, 0, 0, 0, -8, 0, -184, 0, -24, 8, -64, 0, 64, 0, 0, 0, 16, 0, 0, 0, 0, -88, 0, -44, -64, 8, 20, 136, 0, 56, 0, 0, 0, 76, 112, 0, 0, 0, 4, 0, -268, 12, 80, -32, -16, 0, 168, 0, 0, 0, -40, -12, 0, 0, 0, -128, 0, -160, -144, -8, 16, 0, 0, 60, 0, 0, 0, 40, 0, 0, 0, 0, -192, 0, -24, -32, -72, -132, -96, 0, -4, 0, 0, 0, 144, -24, 0, 0, 0, -4, 0, 120, 24, 28, -12, -44, 0, -64, 0, 0, 0, 48, 76, 0, 0, 0, 104, 0, 8, 64, -132, -36, -160, 0, 48, 0, 0, 0, -168, 8, 0, 0, 0, -36, 0, -40, 56, -128, -80, -16, 0, -108, 0, 0, 0, 60, 0, 0, 0, 0, 104, 0, 168, 16, 64, -40, 136, 0, -280, 0, 0, 0, 68, -84, 0, 0, 0, -8, 0, -116, 144, -8, 232, -48, 0, 192, 0, 0, 0, 48, -64, 0, 0, 0, -48, 0, -40, 184, 60, 24, -32, 0, 72, 0, 0, 0, 132, -72, 0, 0, 0, 56, 0, 104, -88, 0, 112, -12, 0, 48, 0, 0, 0, -28, 176, 0, 0, 0, -40, 0, 72, 56, 120, -40, 68, 0, -16, 0, 0, 0, 40, 28, 0, 0, 0, 72, 0, 44, -272, 72, 8, -44, 0, 24, 0, 0, 0, -220, 240, 0, 0, 0, -24, 0, -128, -40, -40, 56, -24, 0, 176, 0, 0, 0, -48, 24, 0, 0, 0, -200, 0, 20, -8, -56, 232, 112, 0, 52, 0, 0, 0, -240, -160, 0, 0, 0, 48, 0, 36, 28, 140, 144, 96, 0, -24, 0, 0, 0, -144, -16, 0, 0, 0, 76, 0, 72, -16, 24, -328, 0, 0, 0, 0, 0, 0, 32, 128, 0, 0, 0, 8, 0, -32, 128, -16, -228, 120, 0, 24, 0, 0, 0, 120, 36, 0, 0, 0, 136, 0, 36, 16, 96, 0, -4, 0, -8, 0, 0, 0, -4, 72, 0, 0, 0, -152, 0, -64, -84, -128, 200, 12, 0, -416, 0, 0, 0, -72, -188, 0, 0, 0, 216, 0, 20, -392, 60, -128, -80, 0, -152, 0, 0, 0, 96, 28, 0, 0, 0, 100, 0, -80, -88, 112, 52, 112, 0, 64, 0, 0, 0, -16, 96, 0, 0, 0, 16, 0, -56, 56, 68, -288, 116, 0, 72, 0, 0, 0, 80, -80, 0, 0, 0, 40, 0, -160, -264, -48, 44, 112, 0, -112, 0, 0, 0, 28, 8, 0, 0, 0, -104, 0, -16, -112, 24, -128, 16, 0, -12, 0, 0, 0, -36, -200, 0, 0, 0, 80, 0, -96, -16, 192, -40, -240, 0, -176, 0, 0, 0, 12, 12, 0, 0, 0, 224, 0, 88, 16, -20, 176, -64, 0, 236, 0, 0, 0, -144, -80, 0, 0, 0, 24, 0, 0, 112, -48, -24, -12, 0, -72, 0, 0, 0, 16, 0, 0, 0, 0, -8, 0, 104, -24, 64, -60, -32, 0, 136, 0, 0, 0, 44, -48, 0, 0, 0, -40, 0, 112, -88, 44, -36, -104, 0, -280, 0, 0, 0, -256, 0, 0, 0, 0, 288, 0, -168, 8, 16, 112, 204, 0, 32, 0, 0, 0, 112, -256, 0, 0, 0, 0, 0, 232, 8, -392, 120, -72, 0, 184, 0, 0, 0, 64, -40, 0, 0, 0, -136, 0, 164, 160, 96, -48, -104, 0, -192, 0, 0, 0, -120, 184, 0, 0, 0, 112, 0, 4, -108, 72, -96, 240, 0, 208, 0, 0, 0, -176, 264, 0, 0, 0, -100, 0, -168, 20, 64, 208, 0, 0, 224, 0, 0, 0, -56, 40, 0, 0, 0, -48, 0, 152, 72, -4, -140, 120, 0, -16, 0, 0, 0, -184, -28, 0, 0, 0, 20, 0, 160, 64, 24, 80, 16, 0, -88, 0, 0, 0, 108, 320, 0, 0, 0, -24, 0, 464, 96, -12, -72, 8, 0, 72, 0, 0, 0, 8, 64, 0, 0, 0, -32, 0, -44, 220, -4, 32, 40, 0, -32, 0, 0, 0, 160, 256, 0, 0, 0, 160, 0, 112, -124, -304, 16, -408, 0, -40, 0, 0, 0, 120, -192, 0, 0, 0, -8, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 3206203
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 169, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 343630938469, 'source_is_minimal': True, 'source_label': '357.2.f.a.169.4', 'source_level': 357, 'target_conrey_index': 169, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 343630938469, 'target_is_minimal': True, 'target_label': '357.2.f.a.169.4', 'target_level': 357, 'twist_class_label': '357.2.f.a.169.3', 'twist_class_level': 357, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 3206204
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 169, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 343630938469, 'source_is_minimal': True, 'source_label': '357.2.f.a.169.4', 'source_level': 357, 'target_conrey_index': 883, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 343630939183, 'target_is_minimal': False, 'target_label': '1071.2.f.a.883.4', 'target_level': 1071, 'twist_class_label': '357.2.f.a.169.3', 'twist_class_level': 357, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 3206205
{'conductor': 17, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 169, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 343630938469, 'source_is_minimal': True, 'source_label': '357.2.f.a.169.4', 'source_level': 357, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043195562006453, 'target_is_minimal': False, 'target_label': '6069.2.a.m.1.2', 'target_level': 6069, 'twist_class_label': '357.2.f.a.169.3', 'twist_class_level': 357, 'twisting_char_label': '17.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 3206206
{'conductor': 17, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 169, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 343630938469, 'source_is_minimal': True, 'source_label': '357.2.f.a.169.4', 'source_level': 357, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45035996307265461, 'target_is_minimal': False, 'target_label': '6069.2.a.k.1.2', 'target_level': 6069, 'twist_class_label': '357.2.f.a.169.3', 'twist_class_level': 357, 'twisting_char_label': '17.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 3206207
{'conductor': 17, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 169, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 343630938469, 'source_is_minimal': True, 'source_label': '357.2.f.a.169.4', 'source_level': 357, 'target_conrey_index': 169, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 343630938469, 'target_is_minimal': True, 'target_label': '357.2.f.a.169.3', 'target_level': 357, 'twist_class_label': '357.2.f.a.169.3', 'twist_class_level': 357, 'twisting_char_label': '17.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 3206208
{'conductor': 51, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 169, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 343630938469, 'source_is_minimal': True, 'source_label': '357.2.f.a.169.4', 'source_level': 357, 'target_conrey_index': 883, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 343630939183, 'target_is_minimal': False, 'target_label': '1071.2.f.a.883.3', 'target_level': 1071, 'twist_class_label': '357.2.f.a.169.3', 'twist_class_level': 357, 'twisting_char_label': '51.50', 'twisting_conrey_index': 50, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 765975
{'charpoly_factorization': [[[2, -2, -2, 1], 2]], 'hecke_orbit_code': 343630938469, 'p': 2}
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id: 765976
{'charpoly_factorization': [[[1, 0, 1], 3]], 'hecke_orbit_code': 343630938469, 'p': 3}
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id: 765977
{'charpoly_factorization': [[[1, 0, 7, 0, 11, 0, 1], 1]], 'hecke_orbit_code': 343630938469, 'p': 5}
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id: 765978
{'charpoly_factorization': [[[1, 0, 1], 3]], 'hecke_orbit_code': 343630938469, 'p': 7}
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id: 765979
{'charpoly_factorization': [[[25, 0, 59, 0, 19, 0, 1], 1]], 'hecke_orbit_code': 343630938469, 'p': 11}
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id: 765980
{'charpoly_factorization': [[[-23, -13, 1, 1], 2]], 'hecke_orbit_code': 343630938469, 'p': 13}
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id: 765981
{'charpoly_factorization': [[[4913, 3468, 1411, 392, 83, 12, 1], 1]], 'hecke_orbit_code': 343630938469, 'p': 17}
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id: 765982
{'charpoly_factorization': [[[-5, 13, -7, 1], 2]], 'hecke_orbit_code': 343630938469, 'p': 19}
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id: 765983
{'charpoly_factorization': [[[1, 0, 707, 0, 67, 0, 1], 1]], 'hecke_orbit_code': 343630938469, 'p': 23}
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id: 765984
{'charpoly_factorization': [[[16, 0, 32, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 343630938469, 'p': 29}
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id: 765985
{'charpoly_factorization': [[[100, 0, 104, 0, 28, 0, 1], 1]], 'hecke_orbit_code': 343630938469, 'p': 31}
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id: 765986
{'charpoly_factorization': [[[676, 0, 420, 0, 68, 0, 1], 1]], 'hecke_orbit_code': 343630938469, 'p': 37}
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id: 765987
{'charpoly_factorization': [[[25, 0, 99, 0, 23, 0, 1], 1]], 'hecke_orbit_code': 343630938469, 'p': 41}
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id: 765988
{'charpoly_factorization': [[[-131, -53, -1, 1], 2]], 'hecke_orbit_code': 343630938469, 'p': 43}
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id: 765989
{'charpoly_factorization': [[[302, 4, -14, 1], 2]], 'hecke_orbit_code': 343630938469, 'p': 47}
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id: 765990
{'charpoly_factorization': [[[-122, -22, 6, 1], 2]], 'hecke_orbit_code': 343630938469, 'p': 53}
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id: 765991
{'charpoly_factorization': [[[230, 16, -14, 1], 2]], 'hecke_orbit_code': 343630938469, 'p': 59}
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id: 765992
{'charpoly_factorization': [[[100, 0, 15256, 0, 284, 0, 1], 1]], 'hecke_orbit_code': 343630938469, 'p': 61}
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id: 765993
{'charpoly_factorization': [[[-1004, -112, 12, 1], 2]], 'hecke_orbit_code': 343630938469, 'p': 67}
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id: 765994
{'charpoly_factorization': [[[547600, 0, 29264, 0, 328, 0, 1], 1]], 'hecke_orbit_code': 343630938469, 'p': 71}
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id: 765995
{'charpoly_factorization': [[[506944, 0, 25968, 0, 300, 0, 1], 1]], 'hecke_orbit_code': 343630938469, 'p': 73}
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id: 765996
{'charpoly_factorization': [[[1473796, 0, 71420, 0, 520, 0, 1], 1]], 'hecke_orbit_code': 343630938469, 'p': 79}
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id: 765997
{'charpoly_factorization': [[[16, 24, -16, 1], 2]], 'hecke_orbit_code': 343630938469, 'p': 83}
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id: 765998
{'charpoly_factorization': [[[80, -64, 8, 1], 2]], 'hecke_orbit_code': 343630938469, 'p': 89}
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id: 765999
{'charpoly_factorization': [[[678976, 0, 31216, 0, 332, 0, 1], 1]], 'hecke_orbit_code': 343630938469, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 6, 'hecke_orbit': 1, 'label': '357.2.f.a', 'level': 357, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 8151834
{'hecke_orbit_code': 343630938469, 'n': 1, 'trace_an': 6}
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id: 8151835
{'hecke_orbit_code': 343630938469, 'n': 2, 'trace_an': 4}
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id: 8151836
{'hecke_orbit_code': 343630938469, 'n': 3, 'trace_an': 0}
-
id: 8151837
{'hecke_orbit_code': 343630938469, 'n': 4, 'trace_an': 4}
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id: 8151838
{'hecke_orbit_code': 343630938469, 'n': 5, 'trace_an': 0}
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id: 8151839
{'hecke_orbit_code': 343630938469, 'n': 6, 'trace_an': 0}
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id: 8151840
{'hecke_orbit_code': 343630938469, 'n': 7, 'trace_an': 0}
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id: 8151841
{'hecke_orbit_code': 343630938469, 'n': 8, 'trace_an': 12}
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id: 8151842
{'hecke_orbit_code': 343630938469, 'n': 9, 'trace_an': -6}
-
id: 8151843
{'hecke_orbit_code': 343630938469, 'n': 10, 'trace_an': 0}
-
id: 8151844
{'hecke_orbit_code': 343630938469, 'n': 11, 'trace_an': 0}
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id: 8151845
{'hecke_orbit_code': 343630938469, 'n': 12, 'trace_an': 0}
-
id: 8151846
{'hecke_orbit_code': 343630938469, 'n': 13, 'trace_an': -2}
-
id: 8151847
{'hecke_orbit_code': 343630938469, 'n': 14, 'trace_an': 0}
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id: 8151848
{'hecke_orbit_code': 343630938469, 'n': 15, 'trace_an': 6}
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id: 8151849
{'hecke_orbit_code': 343630938469, 'n': 16, 'trace_an': 8}
-
id: 8151850
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