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mf_newforms • Show schema
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{'Nk2': 7700, 'analytic_conductor': 15.371202389096474, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [1925, 2, [1002, 276, 1751], [1, 2, 2]], 'cm_discs': [], 'conrey_index': 1849, '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, [25, 0, 31, 0, 11, 0, 1]], [3, [4, 0, 12, 0, 8, 0, 1]], [19, [-8, -4, 6, 1]]], 'hecke_orbit': 14, 'hecke_orbit_code': 58546863908849541, '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, 5, 2, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 7700, 'analytic_conductor': 15.371202389096474, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [1925, 2, [1002, 276, 1751], [1, 2, 2]], 'conrey_index': 1849, 'cusp_dim': 228, 'dim': 88, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3, 19], 'hecke_orbit_code': 68753033093, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 6, 6, 6, 8, 14, 14], 'label': '1925.2.b', 'level': 1925, '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, 11], 'level_radical': 385, 'mf_dim': 252, 'mf_new_dim': 88, 'num_forms': 18, 'prim_orbit_index': 2, 'relative_dim': 88, 'sturm_bound': 480, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [88, 0, 0, -100, 0, 16, 0, 0, -76, 0, -8, 0, 0, 8, 0, 124, 0, 0, -32, 0, 0, 0, 0, 8, 0, -24, 0, 0, 40, 0, 20, 0, 0, -40, 0, 68, 0, 0, -16, 0, -16, 0, 0, 20, 0, 80, 0, 0, -88, 0, 24, 0, 0, 40, 0, -24, 0, 0, -44, 0, 0, 0, 0, -196, 0, 0, 0, 0, -36, 0, -44, 0, 0, 0, 0, 208, 0, 0, -24, 0, 8, 0, 0, 0, 0, -40, 0, 0, 108, 0, -16, 0, 0, -16, 0, -80, 0, 0, 44, 0, -112, 0, 0, 112, 0, -136, 0, 0, 16, 0, -84, 0, 0, 40, 0, 24, 0, 0, 24, 0, 88, 0, 0, 112, 0, 56, 0, 0, -48, 0, 72, 0, 0, -72, 0, -48, 0, 0, -104, 0, 88, 0, 0, -100, 0, 0, 0, 0, -48, 0, 120, 0, 0, 8, 0, -176, 0, 0, -216, 0, 16, 0, 0, 104, 0, -168, 0, 0, 0, 0, 320, 0, 0, 128, 0, -44, 0, 0, -36, 0, -20, 0, 0, -120, 0, 16, 0, 0, 0, 0, 84, 0, 0, 128, 0, 100, 0, 0, -112, 0, -116, 0, 0, 40, 0, -8, 0, 0, -16, 0, 120, 0, 0, 104, 0, -256, 0, 0, -176, 0, -96, 0, 0, -24, 0, -136, 0, 0, 20, 0, -24, 0, 0, 232, 0, 248, 0, 0, -88, 0, -80, 0, 0, 48, 0, 80, 0, 0, -96, 0, 148, 0, 0, 80, 0, 380, 0, 0, -48, 0, -88, 0, 0, -112, 0, 80, 0, 0, 136, 0, 48, 0, 0, 144, 0, -192, 0, 0, 120, 0, -72, 0, 0, 256, 0, 32, 0, 0, -72, 0, -132, 0, 0, -16, 0, 8, 0, 0, -392, 0, 0, 0, 0, -232, 0, -136, 0, 0, 192, 0, 48, 0, 0, -16, 0, 168, 0, 0, 24, 0, 128, 0, 0, -100, 0, -168, 0, 0, -40, 0, 228, 0, 0, -240, 0, -40, 0, 0, -60, 0, -20, 0, 0, 48, 0, 56, 0, 0, 72, 0, -8, 0, 0, 400, 0, -352, 0, 0, -104, 0, 376, 0, 0, 0, 0, -312, 0, 0, 336, 0, 16, 0, 0, 0, 0, 80, 0, 0, -28, 0, 24, 0, 0, 464, 0, 16, 0, 0, 148, 0, -160, 0, 0, 64, 0, -140, 0, 0, 128, 0, -256, 0, 0, 384, 0, -32, 0, 0, 152, 0, 76, 0, 0, 48, 0, -544, 0, 0, 24, 0, -136, 0, 0, 304, 0, -208, 0, 0, 32, 0, -136, 0, 0, 88, 0, -16, 0, 0, 56, 0, 76, 0, 0, 368, 0, -296, 0, 0, 308, 0, 48, 0, 0, -176, 0, -648, 0, 0, -512, 0, 40, 0, 0, 640, 0, -120, 0, 0, -16, 0, -252, 0, 0, 576, 0, -32, 0, 0, -112, 0, -448, 0, 0, -100, 0, -888, 0, 0, -216, 0, 440, 0, 0, -152, 0, 88, 0, 0, 64, 0, -96, 0, 0, -88, 0, 72, 0, 0, 212, 0, -48, 0, 0, -240, 0, -536, 0, 0, -56, 0, 148, 0, 0, 8, 0, 128, 0, 0, -148, 0, 344, 0, 0, -112, 0, 168, 0, 0, 8, 0, 176, 0, 0, -312, 0, 96, 0, 0, -48, 0, 240, 0, 0, 208, 0, 528, 0, 0, -216, 0, -16, 0, 0, -352, 0, -24, 0, 0, 240, 0, -168, 0, 0, 120, 0, 180, 0, 0, 304, 0, -80, 0, 0, -48, 0, -320, 0, 0, -96, 0, -128, 0, 0, -160, 0, 360, 0, 0, 320, 0, -24, 0, 0, -160, 0, 176, 0, 0, 56, 0, -168, 0, 0, -32, 0, -24, 0, 0, -420, 0, 364, 0, 0, 392, 0, -560, 0, 0, -136, 0, -308, 0, 0, -328, 0, 432, 0, 0, 256, 0, 4, 0, 0, -144, 0, 528, 0, 0, 28, 0, 176, 0, 0, 104, 0, -272, 0, 0, -248, 0, 132, 0, 0, -184, 0, -304, 0, 0, -540, 0, -24, 0, 0, -16, 0, 52, 0, 0, -40, 0, 224, 0, 0, -848, 0, -8, 0, 0, 64, 0, -52, 0, 0, -56, 0, 24, 0, 0, 272, 0, 128, 0, 0, 92, 0, 296, 0, 0, 28, 0, 504, 0, 0, 0, 0, -72, 0, 0, 60, 0, 16, 0, 0, -280, 0, 16, 0, 0, -88, 0, 40, 0, 0, 296, 0, 104, 0, 0, 168, 0, 64, 0, 0, 464, 0, -320, 0, 0, 16, 0, -84, 0, 0, 24, 0, -200, 0, 0, 84, 0, 160, 0, 0, -272, 0, 144, 0, 0, -96, 0, -48, 0, 0, 32, 0, -8, 0, 0, -216, 0, 44, 0, 0, -124, 0, -232, 0, 0, 344, 0, -48, 0, 0, 272, 0, 504, 0, 0, 112, 0, -304, 0, 0, -480, 0, 224, 0, 0, -360, 0, 328, 0, 0, 16, 0, 128, 0, 0, 88, 0, -8, 0, 0, -120, 0, -24, 0, 0, -76, 0, 56, 0, 0, 80, 0, 184, 0, 0, -252, 0, 56, 0, 0, -240, 0, 488, 0, 0, 24, 0, -236, 0, 0, 120, 0, -280, 0, 0, 68, 0, 48, 0, 0, 248, 0, 288, 0, 0, 16, 0, -232, 0, 0, 184, 0, 1056, 0, 0, -16, 0, -236, 0, 0, -416, 0, -224, 0, 0, -80, 0, -72, 0, 0, -112, 0, 40, 0, 0, 24, 0, -216, 0, 0, -8, 0, 640, 0, 0, 368, 0, 8, 0, 0, -416, 0, -616, 0, 0, -336, 0, 144, 0, 0, 48, 0, -288, 0, 0, -112, 0, 32, 0, 0, 272, 0, -88, 0, 0, -468, 0, -32, 0, 0, -512, 0, -32, 0, 0, 360, 0, -44, 0, 0, -416, 0, 776, 0, 0, 16, 0, 268, 0, 0, 640, 0, 240, 0, 0, -344, 0, -12, 0, 0, -152, 0, 8, 0, 0, -28, 0, 88, 0, 0, 408, 0, -200, 0, 0, 584, 0, -96, 0, 0, 48, 0, 472, 0, 0, 92, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47710164
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1849, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 58546863908849541, 'source_is_minimal': False, 'source_label': '1925.2.b.n.1849.6', 'source_level': 1925, 'target_conrey_index': 1849, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 58546863908849541, 'target_is_minimal': False, 'target_label': '1925.2.b.n.1849.6', 'target_level': 1925, 'twist_class_label': '385.2.a.f.1.1', 'twist_class_level': 385, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47710165
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1849, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 58546863908849541, 'source_is_minimal': False, 'source_label': '1925.2.b.n.1849.6', 'source_level': 1925, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170407297, 'target_is_minimal': True, 'target_label': '385.2.a.f.1.1', 'target_level': 385, 'twist_class_label': '385.2.a.f.1.1', 'twist_class_level': 385, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47710166
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1849, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 58546863908849541, 'source_is_minimal': False, 'source_label': '1925.2.b.n.1849.6', 'source_level': 1925, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 94575592208336773, 'target_is_minimal': False, 'target_label': '1925.2.a.v.1.3', 'target_level': 1925, 'twist_class_label': '385.2.a.f.1.1', 'twist_class_level': 385, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47710167
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1849, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 58546863908849541, 'source_is_minimal': False, 'source_label': '1925.2.b.n.1849.6', 'source_level': 1925, 'target_conrey_index': 1849, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58546863908849541, 'target_is_minimal': False, 'target_label': '1925.2.b.n.1849.1', 'target_level': 1925, 'twist_class_label': '385.2.a.f.1.1', 'twist_class_level': 385, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47710168
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1849, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 58546863908849541, 'source_is_minimal': False, 'source_label': '1925.2.b.n.1849.6', 'source_level': 1925, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 148618787736784265, 'target_is_minimal': False, 'target_label': '3465.2.a.bh.1.3', 'target_level': 3465, 'twist_class_label': '385.2.a.f.1.1', 'twist_class_level': 385, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47710169
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1849, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 58546863908849541, 'source_is_minimal': False, 'source_label': '1925.2.b.n.1849.6', 'source_level': 1925, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 175640385501009936, 'target_is_minimal': False, 'target_label': '6160.2.a.bn.1.3', 'target_level': 6160, 'twist_class_label': '385.2.a.f.1.1', 'twist_class_level': 385, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 47710170
{'conductor': 35, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1849, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 58546863908849541, 'source_is_minimal': False, 'source_label': '1925.2.b.n.1849.6', 'source_level': 1925, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797780103, 'target_is_minimal': False, 'target_label': '2695.2.a.g.1.1', 'target_level': 2695, 'twist_class_label': '385.2.a.f.1.1', 'twist_class_level': 385, 'twisting_char_label': '35.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 47710171
{'conductor': 55, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1849, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 58546863908849541, 'source_is_minimal': False, 'source_label': '1925.2.b.n.1849.6', 'source_level': 1925, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 72057594071486603, 'target_is_minimal': False, 'target_label': '4235.2.a.q.1.3', 'target_level': 4235, 'twist_class_label': '385.2.a.f.1.1', 'twist_class_level': 385, '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: 2308900
{'charpoly_factorization': [[[25, 0, 31, 0, 11, 0, 1], 1]], 'hecke_orbit_code': 58546863908849541, 'p': 2}
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id: 2308901
{'charpoly_factorization': [[[4, 0, 12, 0, 8, 0, 1], 1]], 'hecke_orbit_code': 58546863908849541, 'p': 3}
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id: 2308902
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 58546863908849541, 'p': 5}
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id: 2308903
{'charpoly_factorization': [[[1, 0, 1], 3]], 'hecke_orbit_code': 58546863908849541, 'p': 7}
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id: 2308904
{'charpoly_factorization': [[[1, 1], 6]], 'hecke_orbit_code': 58546863908849541, 'p': 11}
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id: 2308905
{'charpoly_factorization': [[[4, 0, 476, 0, 48, 0, 1], 1]], 'hecke_orbit_code': 58546863908849541, 'p': 13}
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id: 2308906
{'charpoly_factorization': [[[4, 0, 900, 0, 60, 0, 1], 1]], 'hecke_orbit_code': 58546863908849541, 'p': 17}
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id: 2308907
{'charpoly_factorization': [[[-8, -4, 6, 1], 2]], 'hecke_orbit_code': 58546863908849541, 'p': 19}
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id: 2308908
{'charpoly_factorization': [[[400, 0, 384, 0, 44, 0, 1], 1]], 'hecke_orbit_code': 58546863908849541, 'p': 23}
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id: 2308909
{'charpoly_factorization': [[[40, 12, -10, 1], 2]], 'hecke_orbit_code': 58546863908849541, 'p': 29}
-
id: 2308910
{'charpoly_factorization': [[[-26, 20, 10, 1], 2]], 'hecke_orbit_code': 58546863908849541, 'p': 31}
-
id: 2308911
{'charpoly_factorization': [[[10000, 0, 5904, 0, 152, 0, 1], 1]], 'hecke_orbit_code': 58546863908849541, 'p': 37}
-
id: 2308912
{'charpoly_factorization': [[[-54, -36, 0, 1], 2]], 'hecke_orbit_code': 58546863908849541, 'p': 41}
-
id: 2308913
{'charpoly_factorization': [[[71824, 0, 7392, 0, 188, 0, 1], 1]], 'hecke_orbit_code': 58546863908849541, 'p': 43}
-
id: 2308914
{'charpoly_factorization': [[[24964, 0, 5780, 0, 180, 0, 1], 1]], 'hecke_orbit_code': 58546863908849541, 'p': 47}
-
id: 2308915
{'charpoly_factorization': [[[16, 0, 304, 0, 104, 0, 1], 1]], 'hecke_orbit_code': 58546863908849541, 'p': 53}
-
id: 2308916
{'charpoly_factorization': [[[-74, 0, 14, 1], 2]], 'hecke_orbit_code': 58546863908849541, 'p': 59}
-
id: 2308917
{'charpoly_factorization': [[[-62, -60, -10, 1], 2]], 'hecke_orbit_code': 58546863908849541, 'p': 61}
-
id: 2308918
{'charpoly_factorization': [[[29584, 0, 13232, 0, 228, 0, 1], 1]], 'hecke_orbit_code': 58546863908849541, 'p': 67}
-
id: 2308919
{'charpoly_factorization': [[[-800, 80, 24, 1], 2]], 'hecke_orbit_code': 58546863908849541, 'p': 71}
-
id: 2308920
{'charpoly_factorization': [[[36100, 0, 26484, 0, 332, 0, 1], 1]], 'hecke_orbit_code': 58546863908849541, 'p': 73}
-
id: 2308921
{'charpoly_factorization': [[[-244, -112, 8, 1], 2]], 'hecke_orbit_code': 58546863908849541, 'p': 79}
-
id: 2308922
{'charpoly_factorization': [[[1201216, 0, 35376, 0, 332, 0, 1], 1]], 'hecke_orbit_code': 58546863908849541, 'p': 83}
-
id: 2308923
{'charpoly_factorization': [[[-320, 48, 20, 1], 2]], 'hecke_orbit_code': 58546863908849541, 'p': 89}
-
id: 2308924
{'charpoly_factorization': [[[25600, 0, 36864, 0, 384, 0, 1], 1]], 'hecke_orbit_code': 58546863908849541, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 14, 'label': '1925.2.b.n', 'level': 1925, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 59210977
{'hecke_orbit_code': 58546863908849541, 'n': 1, 'trace_an': 6}
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id: 59210978
{'hecke_orbit_code': 58546863908849541, 'n': 2, 'trace_an': 0}
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id: 59210979
{'hecke_orbit_code': 58546863908849541, 'n': 3, 'trace_an': 0}
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id: 59210980
{'hecke_orbit_code': 58546863908849541, 'n': 4, 'trace_an': -10}
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id: 59210981
{'hecke_orbit_code': 58546863908849541, 'n': 5, 'trace_an': 0}
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id: 59210982
{'hecke_orbit_code': 58546863908849541, 'n': 6, 'trace_an': 8}
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id: 59210983
{'hecke_orbit_code': 58546863908849541, 'n': 7, 'trace_an': 0}
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id: 59210984
{'hecke_orbit_code': 58546863908849541, 'n': 8, 'trace_an': 0}
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id: 59210985
{'hecke_orbit_code': 58546863908849541, 'n': 9, 'trace_an': 2}
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id: 59210986
{'hecke_orbit_code': 58546863908849541, 'n': 10, 'trace_an': 0}
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id: 59210987
{'hecke_orbit_code': 58546863908849541, 'n': 11, 'trace_an': -6}
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