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mf_newforms • Show schema
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{'Nk2': 3744, 'analytic_conductor': 7.473997629191844, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 104, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 108, 'char_orbit_label': 'ed', 'char_order': 12, 'char_parity': 1, 'char_values': [936, 12, [703, 469, 209, 145], [6, 6, 12, 5]], 'cm_discs': [], 'conrey_index': 19, 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [1, -2, 2, 2, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 7353017566120, 'hecke_ring_generator_nbound': 13, '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, 104, 21, 1, 12, 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': 3744, 'analytic_conductor': 7.473997629191844, 'char_conductor': 104, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 108, 'char_orbit_label': 'ed', 'char_order': 12, 'char_parity': 1, 'char_values': [936, 12, [703, 469, 209, 145], [6, 6, 12, 5]], 'conrey_index': 19, 'cusp_dim': 640, 'dim': 272, 'eis_dim': 64, 'eis_new_dim': 16, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 7353017566120, 'hecke_orbit_dims': [4, 4, 48, 48, 56, 112], 'label': '936.2.ed', 'level': 936, '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': [2, 3, 13], 'level_radical': 78, 'mf_dim': 704, 'mf_new_dim': 288, 'num_forms': 6, 'prim_orbit_index': 21, 'relative_dim': 68, 'sturm_bound': 336, 'trace_bound': 2, 'trace_display': [4, 0, 0, 0], 'traces': [272, 4, 0, -6, 0, 0, 0, 10, 0, -6, 8, 0, 0, 24, 0, 6, 12, 0, -8, 2, 0, -4, 0, 0, 0, -38, 0, 36, 0, 0, 0, 24, 0, -22, 4, 0, 0, 0, 0, 16, 16, 0, -12, 40, 0, -14, 0, 0, 36, 6, 0, 12, 0, 0, 0, 60, 0, -82, 0, 0, 0, 18, 0, 0, 0, 0, -8, 56, 0, -20, 0, 0, -44, -14, 0, 18, 0, 0, 0, 104, 0, -66, -32, 0, 0, -80, 0, 36, 28, 0, 8, 44, 0, -14, 0, 0, -28, 20, 0, -30, 0, 0, 0, -114, 0, -66, 44, 0, 0, -48, 0, -80, 4, 0, 92, 0, 0, -128, 0, 0, -12, -130, 0, -82, 0, 0, 0, 18, 0, 170, 144, 0, 0, -126, 0, -14, 12, 0, -36, -12, 0, 0, 0, 0, -52, -108, 0, -126, 0, 0, 0, 6, 0, -100, 0, 0, 0, -128, 0, -180, -36, 0, -48, -102, 0, 12, 0, 0, 4, -24, 0, -120, 0, 0, 0, -60, 0, -6, 12, 0, 0, 104, 0, -70, 24, 0, -20, -66, 0, 80, 0, 0, 48, 0, 0, 80, 0, 0, 0, -264, 0, -76, -148, 0, 0, 110, 0, 150, 80, 0, -76, -168, 0, -118, 0, 0, -68, 54, 0, 0, 0, 0, 0, -168, 0, 70, -176, 0, 0, -70, 0, 94, 0, 0, 192, -204, 0, -36, 0, 0, 76, 162, 0, 228, 0, 0, 0, 28, 0, 126, 12, 0, 0, 110, 0, -18, 168, 0, 0, 150, 0, 70, 0, 0, -76, 84, 0, 24, 0, 0, 0, 0, 0, 12, -100, 0, 0, 260, 0, 128, -108, 0, -156, 118, 0, 96, 0, 0, 72, 354, 0, 184, 0, 0, 0, 108, 0, 0, -188, 0, 0, 206, 0, 44, -52, 0, -96, -40, 0, -38, 0, 0, -16, 252, 0, 324, 0, 0, 0, 190, 0, 96, -108, 0, 0, -80, 0, 40, 12, 0, -264, 168, 0, -4, 0, 0, 0, -138, 0, 114, 0, 0, 0, 48, 0, -132, 28, 0, 0, 0, 0, 312, 12, 0, -12, 404, 0, -276, 0, 0, -12, -172, 0, -124, 0, 0, 0, 438, 0, -30, -120, 0, 0, -120, 0, 0, 120, 0, -136, 242, 0, -352, 0, 0, -64, 66, 0, 18, 0, 0, 0, 328, 0, -426, -120, 0, 0, -128, 0, 42, -4, 0, -64, 24, 0, -196, 0, 0, -64, -230, 0, 26, 0, 0, 0, -14, 0, -144, -76, 0, 0, -62, 0, 6, -132, 0, -124, 0, 0, 368, 0, 0, -72, -512, 0, 170, 0, 0, 0, -200, 0, 66, -336, 0, 0, -414, 0, 164, 220, 0, -108, -204, 0, 0, 0, 0, 48, -262, 0, -344, 0, 0, 0, 86, 0, 348, 0, 0, 0, -426, 0, 48, -28, 0, 172, -108, 0, 300, 0, 0, -20, -20, 0, -216, 0, 0, 0, -242, 0, -88, 204, 0, 0, 130, 0, -326, 4, 0, -376, -146, 0, -52, 0, 0, -32, 0, 0, 60, 0, 0, 0, -566, 0, 246, 248, 0, 0, 244, 0, -88, 48, 0, -180, -522, 0, 272, 0, 0, -52, 252, 0, 0, 0, 0, 0, -302, 0, 192, 548, 0, 0, -72, 0, 168, 0, 0, -112, -428, 0, 732, 0, 0, 128, 134, 0, -120, 0, 0, 0, -128, 0, 62, 132, 0, 0, 324, 0, -174, 12, 0, 0, 68, 0, 256, 0, 0, -44, 220, 0, 62, 0, 0, 0, 0, 0, 484, 288, 0, 0, 716, 0, 334, -204, 0, 372, 378, 0, -180, 0, 0, -36, 564, 0, -54, 0, 0, 0, 270, 0, 0, 352, 0, 0, 294, 0, 564, -140, 0, 392, -146, 0, -90, 0, 0, -312, 492, 0, 450, 0, 0, 0, 204, 0, 72, 116, 0, 0, 288, 0, 336, -228, 0, 368, 272, 0, 126, 0, 0, 0, -210, 0, 256, 0, 0, 0, 194, 0, -28, 20, 0, 0, 0, 0, -400, -300, 0, 180, 616, 0, 222, 0, 0, -156, -378, 0, -98, 0, 0, 0, 690, 0, 24, 192, 0, 0, -420, 0, 0, 112, 0, 176, 264, 0, -436, 0, 0, 16, 70, 0, -436, 0, 0, 0, 536, 0, 444, 188, 0, 0, -224, 0, -558, -196, 0, 380, 200, 0, -220, 0, 0, -16, -224, 0, 58, 0, 0, 0, -292, 0, -546, 292, 0, 0, -242, 0, -256, -12, 0, 40, 0, 0, 224, 0, 0, -12, -794, 0, -356, 0, 0, 0, -458, 0, -258, 768, 0, 0, -582, 0, -774, -52, 0, -12, -522, 0, 0, 0, 0, -100, -540, 0, -254, 0, 0, 0, 178, 0, 136, 0, 0, 0, -678, 0, -768, 12, 0, 368, -272, 0, 48, 0, 0, -284, -68, 0, 30, 0, 0, 0, -422, 0, -176, -300, 0, 0, 90, 0, -352, -44, 0, -40, -244, 0, 172, 0, 0, -4, 0, 0, -684, 0, 0, 0, -788, 0, 400, -72, 0, 0, 440, 0, 178, -112, 0, 156, -684, 0, 202, 0, 0, 216, 420, 0, 0, 0, 0, 0, -384, 0, 856, -636, 0, 0, -128, 0, -50, 0, 0, 384, -676, 0, 336, 0, 0, -276, 170, 0, -24, 0, 0, 0, -140, 0, 348, -624, 0, 0, 432, 0, -40, -528, 0, 0, 208, 0, 400, 0, 0, 180, 418, 0, -36, 0, 0, 0, 0, 0, -324, -244, 0, 0, 1004, 0, -126, 476, 0, 108, 402, 0, -380, 0, 0, -100, 690, 0, 18, 0, 0, 0, 246, 0, 0, -504, 0, 0, 376, 0, 430, 64, 0, -152, -104, 0, -312, 0, 0, 56, 908, 0, -294, 0, 0, 0, 112, 0, -1008, -192, 0, 0, -8, 0, 304, 12, 0, 44, 336, 0, 134, 0, 0, 0, -52, 0, 504, 0, 0, 0, 278, 0, -224, -4, 0, 0, 0, 0, -248, 64, 0, -36, 1186, 0, -584, 0, 0, 144, -450, 0, -86, 0, 0, 0, 702, 0, -612, -516, 0, 0, -246, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 33650405
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 7353017566120, 'source_is_minimal': False, 'source_label': '936.2.ed.a.19.1', 'source_level': 936, 'target_conrey_index': 19, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 7353017566120, 'target_is_minimal': False, 'target_label': '936.2.ed.a.19.1', 'target_level': 936, 'twist_class_label': '312.2.bt.a.19.1', 'twist_class_level': 312, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 33650406
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 7353017566120, 'source_is_minimal': False, 'source_label': '936.2.ed.a.19.1', 'source_level': 936, 'target_conrey_index': 19, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4506692037378360, 'target_is_minimal': True, 'target_label': '312.2.bt.b.19.1', 'target_level': 312, 'twist_class_label': '312.2.bt.a.19.1', 'twist_class_level': 312, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 33650407
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 7353017566120, 'source_is_minimal': False, 'source_label': '936.2.ed.a.19.1', 'source_level': 936, 'target_conrey_index': 19, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4510952644936616, 'target_is_minimal': False, 'target_label': '936.2.ed.b.19.1', 'target_level': 936, 'twist_class_label': '312.2.bt.a.19.1', 'twist_class_level': 312, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 33650408
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 7353017566120, 'source_is_minimal': False, 'source_label': '936.2.ed.a.19.1', 'source_level': 936, 'target_conrey_index': 739, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4510952644936616, 'target_is_minimal': False, 'target_label': '936.2.ed.b.739.1', 'target_level': 936, 'twist_class_label': '312.2.bt.a.19.1', 'twist_class_level': 312, 'twisting_char_label': '13.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 33650409
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 7353017566120, 'source_is_minimal': False, 'source_label': '936.2.ed.a.19.1', 'source_level': 936, 'target_conrey_index': 19, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 3092410007864, 'target_is_minimal': True, 'target_label': '312.2.bt.a.19.1', 'target_level': 312, 'twist_class_label': '312.2.bt.a.19.1', 'twist_class_level': 312, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 33650410
{'conductor': 39, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 7353017566120, 'source_is_minimal': False, 'source_label': '936.2.ed.a.19.1', 'source_level': 936, 'target_conrey_index': 115, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 3092410007864, 'target_is_minimal': True, 'target_label': '312.2.bt.a.115.1', 'target_level': 312, 'twist_class_label': '312.2.bt.a.19.1', 'twist_class_level': 312, 'twisting_char_label': '39.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 33650411
{'conductor': 104, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 7353017566120, 'source_is_minimal': False, 'source_label': '936.2.ed.a.19.1', 'source_level': 936, 'target_conrey_index': 739, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 7353017566120, 'target_is_minimal': False, 'target_label': '936.2.ed.a.739.1', 'target_level': 936, 'twist_class_label': '312.2.bt.a.19.1', 'twist_class_level': 312, 'twisting_char_label': '104.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 33650412
{'conductor': 312, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 7353017566120, 'source_is_minimal': False, 'source_label': '936.2.ed.a.19.1', 'source_level': 936, 'target_conrey_index': 115, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4506692037378360, 'target_is_minimal': True, 'target_label': '312.2.bt.b.115.1', 'target_level': 312, 'twist_class_label': '312.2.bt.a.19.1', 'twist_class_level': 312, 'twisting_char_label': '312.11', 'twisting_conrey_index': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1511575
{'charpoly_factorization': [[[4, 4, 2, 2, 1], 1]], 'hecke_orbit_code': 7353017566120, 'p': 2}
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id: 1511576
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 7353017566120, 'p': 3}
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id: 1511577
{'charpoly_factorization': [[[1, -2, 2, 2, 1], 1]], 'hecke_orbit_code': 7353017566120, 'p': 5}
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id: 1511578
{'charpoly_factorization': [[[36, -36, 18, -6, 1], 1]], 'hecke_orbit_code': 7353017566120, 'p': 7}
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id: 1511579
{'charpoly_factorization': [[[484, -308, 74, -10, 1], 1]], 'hecke_orbit_code': 7353017566120, 'p': 11}
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id: 1511580
{'charpoly_factorization': [[[13, -7, 1], 2]], 'hecke_orbit_code': 7353017566120, 'p': 13}
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id: 1511581
{'charpoly_factorization': [[[1, 6, 11, -6, 1], 1]], 'hecke_orbit_code': 7353017566120, 'p': 17}
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id: 1511582
{'charpoly_factorization': [[[324, 108, 18, 6, 1], 1]], 'hecke_orbit_code': 7353017566120, 'p': 19}
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id: 1511583
{'charpoly_factorization': [[[4, 4, 6, -2, 1], 1]], 'hecke_orbit_code': 7353017566120, 'p': 23}
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id: 1511584
{'charpoly_factorization': [[[81, 0, -9, 0, 1], 1]], 'hecke_orbit_code': 7353017566120, 'p': 29}
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id: 1511585
{'charpoly_factorization': [[[32, -8, 1], 2]], 'hecke_orbit_code': 7353017566120, 'p': 31}
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id: 1511586
{'charpoly_factorization': [[[1, 14, 53, 4, 1], 1]], 'hecke_orbit_code': 7353017566120, 'p': 37}
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id: 1511587
{'charpoly_factorization': [[[625, -500, 125, -10, 1], 1]], 'hecke_orbit_code': 7353017566120, 'p': 41}
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id: 1511588
{'charpoly_factorization': [[[4, 12, 14, 6, 1], 1]], 'hecke_orbit_code': 7353017566120, 'p': 43}
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id: 1511589
{'charpoly_factorization': [[[676, 416, 128, 16, 1], 1]], 'hecke_orbit_code': 7353017566120, 'p': 47}
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id: 1511590
{'charpoly_factorization': [[[75, 0, 1], 2]], 'hecke_orbit_code': 7353017566120, 'p': 53}
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id: 1511591
{'charpoly_factorization': [[[21904, -4144, 452, -32, 1], 1]], 'hecke_orbit_code': 7353017566120, 'p': 59}
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id: 1511592
{'charpoly_factorization': [[[529, -552, 215, -24, 1], 1]], 'hecke_orbit_code': 7353017566120, 'p': 61}
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id: 1511593
{'charpoly_factorization': [[[4356, -396, 90, -18, 1], 1]], 'hecke_orbit_code': 7353017566120, 'p': 67}
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id: 1511594
{'charpoly_factorization': [[[2500, -500, 50, -10, 1], 1]], 'hecke_orbit_code': 7353017566120, 'p': 71}
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id: 1511595
{'charpoly_factorization': [[[169, 182, 98, -14, 1], 1]], 'hecke_orbit_code': 7353017566120, 'p': 73}
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id: 1511596
{'charpoly_factorization': [[[256, 0, 224, 0, 1], 1]], 'hecke_orbit_code': 7353017566120, 'p': 79}
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id: 1511597
{'charpoly_factorization': [[[8836, 376, 8, -4, 1], 1]], 'hecke_orbit_code': 7353017566120, 'p': 83}
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id: 1511598
{'charpoly_factorization': [[[484, -220, 194, -26, 1], 1]], 'hecke_orbit_code': 7353017566120, 'p': 89}
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id: 1511599
{'charpoly_factorization': [[[324, 108, 234, -30, 1], 1]], 'hecke_orbit_code': 7353017566120, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 108, 'hecke_orbit': 1, 'label': '936.2.ed.a', 'level': 936, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 15858036
{'hecke_orbit_code': 7353017566120, 'n': 1, 'trace_an': 4}
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id: 15858037
{'hecke_orbit_code': 7353017566120, 'n': 2, 'trace_an': -2}
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id: 15858038
{'hecke_orbit_code': 7353017566120, 'n': 3, 'trace_an': 0}
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id: 15858039
{'hecke_orbit_code': 7353017566120, 'n': 4, 'trace_an': 0}
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id: 15858040
{'hecke_orbit_code': 7353017566120, 'n': 5, 'trace_an': -2}
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id: 15858041
{'hecke_orbit_code': 7353017566120, 'n': 6, 'trace_an': 0}
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id: 15858042
{'hecke_orbit_code': 7353017566120, 'n': 7, 'trace_an': 6}
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