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mf_newforms • Show schema
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{'Nk2': 1404, 'analytic_conductor': 2.8027491109469413, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [351, 2, [326, 28], [2, 1]], 'cm_discs': [], 'conrey_index': 298, 'dim': 4, 'field_disc': 8112, 'field_disc_factorization': [[2, 4], [3, 1], [13, 2]], 'field_poly': [3, 0, 5, 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, [3, 0, 5, 0, 1]], [5, [27, 0, 11, 0, 1]], [17, [-27, 3, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510867635143007, '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, 13, 2, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 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mf_hecke_cc • Show schema
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'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': -2.074313293051943, 'embedding_root_real': 0.0, 'hecke_orbit': 4, 'hecke_orbit_code': 13510867635143007, 'label': '351.2.b.d.298.1', 'level': 351, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1404, 'analytic_conductor': 2.8027491109469413, 'char_conductor': 13, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [351, 2, [326, 28], [2, 1]], 'conrey_index': 298, 'cusp_dim': 36, 'dim': 18, 'eis_dim': 12, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5, 17], 'hecke_orbit_code': 68753031519, 'hecke_orbit_dims': [2, 4, 4, 4, 4], 'label': '351.2.b', 'level': 351, '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': [3, 13], 'level_radical': 39, 'mf_dim': 48, 'mf_new_dim': 18, 'num_forms': 5, 'prim_orbit_index': 2, 'relative_dim': 18, 'sturm_bound': 84, 'trace_bound': 14, 'trace_display': [0, 0, 0, 0], 'traces': [18, 0, 0, -16, 0, 0, 0, 0, 0, 20, 0, 0, 7, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, -34, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 36, 0, 0, 0, 0, 0, -24, 0, 0, 10, 0, 0, -16, 0, 0, 0, 0, 0, 50, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -64, 0, 0, 0, 0, 0, -68, 0, 0, -39, 0, 0, 104, 0, 0, 0, 0, 0, 148, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 68, 0, 0, 2, 0, 0, 0, 0, 0, -16, 0, 0, -28, 0, 0, -30, 0, 0, 0, 0, 0, -138, 0, 0, -76, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 108, 0, 0, 0, 0, 0, 152, 0, 0, 87, 0, 0, -80, 0, 0, 0, 0, 0, -136, 0, 0, 54, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, -130, 0, 0, 0, 0, 0, -28, 0, 0, -168, 0, 0, 86, 0, 0, 0, 0, 0, 84, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 92, 0, 0, 288, 0, 0, 0, 0, 0, -268, 0, 0, 75, 0, 0, 124, 0, 0, 0, 0, 0, 88, 0, 0, 66, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -220, 0, 0, 60, 0, 0, 0, 0, 0, -28, 0, 0, -4, 0, 0, -54, 0, 0, 0, 0, 0, 44, 0, 0, 164, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -268, 0, 0, 0, 0, 0, -180, 0, 0, -161, 0, 0, -80, 0, 0, 0, 0, 0, 104, 0, 0, -82, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 324, 0, 0, 80, 0, 0, 0, 0, 0, 156, 0, 0, 30, 0, 0, 6, 0, 0, 0, 0, 0, -82, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, -16, 0, 0, 0, 0, 0, -28, 0, 0, -66, 0, 0, -108, 0, 0, 0, 0, 0, -80, 0, 0, -76, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -296, 0, 0, -40, 0, 0, 0, 0, 0, 168, 0, 0, 36, 0, 0, 248, 0, 0, 0, 0, 0, 164, 0, 0, -196, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 148, 0, 0, 0, 0, 0, 200, 0, 0, 105, 0, 0, 316, 0, 0, 0, 0, 0, -364, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 198, 0, 0, 0, 0, 0, -88, 0, 0, 244, 0, 0, -330, 0, 0, 0, 0, 0, -162, 0, 0, 228, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -30, 0, 0, -516, 0, 0, 0, 0, 0, 304, 0, 0, 44, 0, 0, -28, 0, 0, 0, 0, 0, 388, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, -12, 0, 0, 0, 0, 0, -324, 0, 0, 36, 0, 0, -304, 0, 0, 0, 0, 0, 90, 0, 0, 304, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 50, 0, 0, -128, 0, 0, 0, 0, 0, 20, 0, 0, -116, 0, 0, -112, 0, 0, 0, 0, 0, 252, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -260, 0, 0, -36, 0, 0, 0, 0, 0, -210, 0, 0, -358, 0, 0, 138, 0, 0, 0, 0, 0, 200, 0, 0, -464, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 42, 0, 0, 200, 0, 0, 0, 0, 0, 220, 0, 0, 284, 0, 0, 56, 0, 0, 0, 0, 0, -200, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 80, 0, 0, 0, 0, 0, -306, 0, 0, -72, 0, 0, 98, 0, 0, 0, 0, 0, -132, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -184, 0, 0, 140, 0, 0, 0, 0, 0, 436, 0, 0, 15, 0, 0, 44, 0, 0, 0, 0, 0, 80, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 360, 0, 0, -102, 0, 0, 0, 0, 0, -58, 0, 0, 204, 0, 0, 236, 0, 0, 0, 0, 0, -450, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26, 0, 0, -76, 0, 0, 0, 0, 0, 384, 0, 0, 45, 0, 0, -216, 0, 0, 0, 0, 0, -728, 0, 0, -58, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, -252, 0, 0, 0, 0, 0, 326, 0, 0, -180, 0, 0, 188, 0, 0, 0, 0, 0, 80, 0, 0, 236, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 230, 0, 0, 384, 0, 0, 0, 0, 0, -500, 0, 0, 261, 0, 0, -36, 0, 0, 0, 0, 0, 476, 0, 0, 102, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 276, 0, 0, 32, 0, 0, 0, 0, 0, -40, 0, 0, 186, 0, 0, -258, 0, 0, 0, 0, 0, 336, 0, 0, 92], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 43006660
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 298, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510867635143007, 'source_is_minimal': True, 'source_label': '351.2.b.d.298.1', 'source_level': 351, 'target_conrey_index': 298, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510867635143007, 'target_is_minimal': True, 'target_label': '351.2.b.d.298.1', 'target_level': 351, 'twist_class_label': '351.2.b.d.298.1', 'twist_class_level': 351, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43006661
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 298, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510867635143007, 'source_is_minimal': True, 'source_label': '351.2.b.d.298.1', 'source_level': 351, 'target_conrey_index': 298, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18014467262513503, 'target_is_minimal': True, 'target_label': '351.2.b.e.298.4', 'target_level': 351, 'twist_class_label': '351.2.b.d.298.1', 'twist_class_level': 351, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43006662
{'conductor': 13, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 298, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510867635143007, 'source_is_minimal': True, 'source_label': '351.2.b.d.298.1', 'source_level': 351, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 99079191835709907, 'target_is_minimal': False, 'target_label': '4563.2.a.w.1.1', 'target_level': 4563, 'twist_class_label': '351.2.b.d.298.1', 'twist_class_level': 351, 'twisting_char_label': '13.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 43006663
{'conductor': 13, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 298, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510867635143007, 'source_is_minimal': True, 'source_label': '351.2.b.d.298.1', 'source_level': 351, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 99079191835709907, 'target_is_minimal': False, 'target_label': '4563.2.a.w.1.4', 'target_level': 4563, 'twist_class_label': '351.2.b.d.298.1', 'twist_class_level': 351, 'twisting_char_label': '13.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 43006664
{'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 298, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510867635143007, 'source_is_minimal': True, 'source_label': '351.2.b.d.298.1', 'source_level': 351, 'target_conrey_index': 298, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13510867635143007, 'target_is_minimal': True, 'target_label': '351.2.b.d.298.4', 'target_level': 351, 'twist_class_label': '351.2.b.d.298.1', 'twist_class_level': 351, 'twisting_char_label': '13.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 43006665
{'conductor': 39, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 298, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510867635143007, 'source_is_minimal': True, 'source_label': '351.2.b.d.298.1', 'source_level': 351, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 103582791463080403, 'target_is_minimal': False, 'target_label': '4563.2.a.x.1.4', 'target_level': 4563, 'twist_class_label': '351.2.b.d.298.1', 'twist_class_level': 351, 'twisting_char_label': '39.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 43006666
{'conductor': 39, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 298, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510867635143007, 'source_is_minimal': True, 'source_label': '351.2.b.d.298.1', 'source_level': 351, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 103582791463080403, 'target_is_minimal': False, 'target_label': '4563.2.a.x.1.1', 'target_level': 4563, 'twist_class_label': '351.2.b.d.298.1', 'twist_class_level': 351, 'twisting_char_label': '39.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 43006667
{'conductor': 39, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 298, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510867635143007, 'source_is_minimal': True, 'source_label': '351.2.b.d.298.1', 'source_level': 351, 'target_conrey_index': 298, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014467262513503, 'target_is_minimal': True, 'target_label': '351.2.b.e.298.1', 'target_level': 351, 'twist_class_label': '351.2.b.d.298.1', 'twist_class_level': 351, 'twisting_char_label': '39.38', 'twisting_conrey_index': 38, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 758200
{'charpoly_factorization': [[[3, 0, 5, 0, 1], 1]], 'hecke_orbit_code': 13510867635143007, 'p': 2}
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id: 758201
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 13510867635143007, 'p': 3}
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id: 758202
{'charpoly_factorization': [[[27, 0, 11, 0, 1], 1]], 'hecke_orbit_code': 13510867635143007, 'p': 5}
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id: 758203
{'charpoly_factorization': [[[27, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 13510867635143007, 'p': 7}
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id: 758204
{'charpoly_factorization': [[[3, 0, 5, 0, 1], 1]], 'hecke_orbit_code': 13510867635143007, 'p': 11}
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id: 758205
{'charpoly_factorization': [[[169, -78, 22, -6, 1], 1]], 'hecke_orbit_code': 13510867635143007, 'p': 13}
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id: 758206
{'charpoly_factorization': [[[-27, 3, 1], 2]], 'hecke_orbit_code': 13510867635143007, 'p': 17}
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id: 758207
{'charpoly_factorization': [[[243, 0, 33, 0, 1], 1]], 'hecke_orbit_code': 13510867635143007, 'p': 19}
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id: 758208
{'charpoly_factorization': [[[-27, 3, 1], 2]], 'hecke_orbit_code': 13510867635143007, 'p': 23}
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id: 758209
{'charpoly_factorization': [[[-3, 1], 4]], 'hecke_orbit_code': 13510867635143007, 'p': 29}
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id: 758210
{'charpoly_factorization': [[[432, 0, 60, 0, 1], 1]], 'hecke_orbit_code': 13510867635143007, 'p': 31}
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id: 758211
{'charpoly_factorization': [[[2187, 0, 96, 0, 1], 1]], 'hecke_orbit_code': 13510867635143007, 'p': 37}
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id: 758212
{'charpoly_factorization': [[[3, 0, 8, 0, 1], 1]], 'hecke_orbit_code': 13510867635143007, 'p': 41}
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id: 758213
{'charpoly_factorization': [[[-29, -1, 1], 2]], 'hecke_orbit_code': 13510867635143007, 'p': 43}
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id: 758214
{'charpoly_factorization': [[[867, 0, 59, 0, 1], 1]], 'hecke_orbit_code': 13510867635143007, 'p': 47}
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id: 758215
{'charpoly_factorization': [[[-27, -3, 1], 2]], 'hecke_orbit_code': 13510867635143007, 'p': 53}
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id: 758216
{'charpoly_factorization': [[[7803, 0, 200, 0, 1], 1]], 'hecke_orbit_code': 13510867635143007, 'p': 59}
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id: 758217
{'charpoly_factorization': [[[23, -12, 1], 2]], 'hecke_orbit_code': 13510867635143007, 'p': 61}
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id: 758218
{'charpoly_factorization': [[[2187, 0, 99, 0, 1], 1]], 'hecke_orbit_code': 13510867635143007, 'p': 67}
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id: 758219
{'charpoly_factorization': [[[768, 0, 128, 0, 1], 1]], 'hecke_orbit_code': 13510867635143007, 'p': 71}
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id: 758220
{'charpoly_factorization': [[[2187, 0, 135, 0, 1], 1]], 'hecke_orbit_code': 13510867635143007, 'p': 73}
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id: 758221
{'charpoly_factorization': [[[17, -9, 1], 2]], 'hecke_orbit_code': 13510867635143007, 'p': 79}
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id: 758222
{'charpoly_factorization': [[[507, 0, 104, 0, 1], 1]], 'hecke_orbit_code': 13510867635143007, 'p': 83}
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id: 758223
{'charpoly_factorization': [[[768, 0, 128, 0, 1], 1]], 'hecke_orbit_code': 13510867635143007, 'p': 89}
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id: 758224
{'charpoly_factorization': [[[432, 0, 96, 0, 1], 1]], 'hecke_orbit_code': 13510867635143007, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 4, 'label': '351.2.b.d', 'level': 351, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 35799799
{'hecke_orbit_code': 13510867635143007, 'n': 1, 'trace_an': 4}
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id: 35799800
{'hecke_orbit_code': 13510867635143007, 'n': 2, 'trace_an': 0}
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id: 35799801
{'hecke_orbit_code': 13510867635143007, 'n': 3, 'trace_an': 0}
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id: 35799802
{'hecke_orbit_code': 13510867635143007, 'n': 4, 'trace_an': -2}
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id: 35799803
{'hecke_orbit_code': 13510867635143007, 'n': 5, 'trace_an': 0}
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id: 35799804
{'hecke_orbit_code': 13510867635143007, 'n': 6, 'trace_an': 0}
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id: 35799805
{'hecke_orbit_code': 13510867635143007, 'n': 7, 'trace_an': 0}
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id: 35799806
{'hecke_orbit_code': 13510867635143007, 'n': 8, 'trace_an': 0}
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id: 35799807
{'hecke_orbit_code': 13510867635143007, 'n': 9, 'trace_an': 0}
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id: 35799808
{'hecke_orbit_code': 13510867635143007, 'n': 10, 'trace_an': 8}
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id: 35799809
{'hecke_orbit_code': 13510867635143007, 'n': 11, 'trace_an': 0}
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id: 35799810
{'hecke_orbit_code': 13510867635143007, 'n': 12, 'trace_an': 0}
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id: 35799811
{'hecke_orbit_code': 13510867635143007, 'n': 13, 'trace_an': 6}
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id: 35799812
{'hecke_orbit_code': 13510867635143007, 'n': 14, 'trace_an': -18}
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id: 35799813
{'hecke_orbit_code': 13510867635143007, 'n': 15, 'trace_an': 0}
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id: 35799814
{'hecke_orbit_code': 13510867635143007, 'n': 16, 'trace_an': -6}
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id: 35799815
{'hecke_orbit_code': 13510867635143007, 'n': 17, 'trace_an': -6}
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id: 35799816
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