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mf_newforms • Show schema
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{'Nk2': 5780, 'analytic_conductor': 11.538383092075016, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 17, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [1445, 2, [1157, 581], [2, 1]], 'cm_discs': [], 'conrey_index': 866, 'dim': 12, 'field_disc': 7999433461960704, 'field_disc_factorization': [[2, 12], [3, 18], [71, 2]], 'field_poly': [9, 0, 81, 0, 198, 0, 192, 0, 81, 0, 15, 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, -9, 0, 12, -3, -3, 1]], [3, [1, 0, 213, 0, 534, 0, 449, 0, 150, 0, 21, 0, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525403583579557, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 5780, 'analytic_conductor': 11.538383092075016, 'char_conductor': 17, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [1445, 2, [1157, 581], [2, 1]], 'conrey_index': 866, 'cusp_dim': 134, 'dim': 90, 'eis_dim': 36, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 206191986085, 'hecke_orbit_dims': [2, 2, 2, 4, 4, 4, 12, 12, 24, 24], 'label': '1445.2.d', 'level': 1445, '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, 17], 'level_radical': 85, 'mf_dim': 170, 'mf_new_dim': 90, 'num_forms': 10, 'prim_orbit_index': 2, 'relative_dim': 90, 'sturm_bound': 306, 'trace_bound': 9, 'trace_display': [2, 0, 0, 0], 'traces': [90, 2, 0, 94, 0, 0, 0, 6, -98, 0, 0, 0, -8, 0, 0, 102, 0, 2, 0, 0, 0, 0, 0, 0, -90, 28, 0, 0, 0, -4, 0, -6, -12, 0, -4, -118, 0, -8, 0, 0, 0, -12, -28, 0, 0, 0, 16, 0, -78, -2, 0, 0, 40, 0, -8, 0, 0, 0, -4, -12, 0, 0, 0, 106, 0, 12, -16, 0, -24, 36, 0, -10, 0, 0, 0, -12, 56, 0, 0, 0, 106, 0, 4, -36, 0, -12, -24, 0, -12, 0, 0, 0, 68, 8, 0, 0, 0, -94, 0, -94, 8, 0, 32, 12, 0, 16, 0, 0, 0, 20, 56, 0, 0, 0, -16, 0, 32, -32, 0, 4, -134, 0, -56, 0, 0, 0, 20, -66, 0, 0, 0, -40, 0, 64, -12, 0, -60, 112, 0, -32, 0, 0, 0, -34, -24, 0, 0, 0, -28, 0, -12, -4, 0, -100, 24, 0, 0, 0, 0, 0, -76, 106, 0, 0, 0, 36, 0, 68, 98, 0, -44, 20, 0, -52, 0, 0, 0, 144, 36, 0, 0, 0, -80, 0, 20, -44, 0, 0, 72, 0, 36, 0, 0, 0, 32, 70, 0, 0, 0, -6, 0, -8, -20, 0, 0, -96, 0, -64, 0, 0, 0, -12, -84, 0, 0, 0, 136, 0, -200, -24, 0, -44, -56, 0, 98, 0, 0, 0, -224, -44, 0, 0, 0, -36, 0, 60, 136, 0, 28, 60, 0, -82, 0, 0, 0, -16, -124, 0, 0, 0, 44, 0, 4, -88, 0, 14, -44, 0, 112, 0, 0, 0, 76, 104, 0, 0, 0, -108, 0, 8, -40, 0, 164, 32, 0, -84, 0, 0, 0, 36, 132, 0, 0, 0, -32, 0, 108, -146, 0, -12, -28, 0, -76, 0, 0, 0, 88, -76, 0, 0, 0, 52, 0, 136, -16, 0, 168, 200, 0, -32, 0, 0, 0, 120, -32, 0, 0, 0, -4, 0, 88, -8, 0, -62, 8, 0, 204, 0, 0, 0, 4, 56, 0, 0, 0, -128, 0, 82, -20, 0, -80, 120, 0, -28, 0, 0, 0, 212, -116, 0, 0, 0, -152, 0, 40, -84, 0, -28, 68, 0, 122, 0, 0, 0, 72, 188, 0, 0, 0, -52, 0, 48, 116, 0, 0, 4, 0, -188, 0, 0, 0, -104, 4, 0, 0, 0, -76, 0, -72, -16, 0, -162, 180, 0, -32, 0, 0, 0, -172, -102, 0, 0, 0, -148, 0, 28, -104, 0, -16, 84, 0, -8, 0, 0, 0, 88, 100, 0, 0, 0, -32, 0, 112, -84, 0, -144, -332, 0, -64, 0, 0, 0, 108, 156, 0, 0, 0, -132, 0, 16, 118, 0, -20, 24, 0, -64, 0, 0, 0, -2, 116, 0, 0, 0, -24, 0, -76, -60, 0, 20, 32, 0, -144, 0, 0, 0, 144, 84, 0, 0, 0, -80, 0, 184, 0, 0, -120, 112, 0, -44, 0, 0, 0, 30, -36, 0, 0, 0, 216, 0, -32, -100, 0, -52, 0, 0, -140, 0, 0, 0, -20, 88, 0, 0, 0, 544, 0, -440, -88, 0, -132, -346, 0, -100, 0, 0, 0, -360, 52, 0, 0, 0, 128, 0, 0, 492, 0, -188, 58, 0, -100, 0, 0, 0, 16, -352, 0, 0, 0, -56, 0, 92, -88, 0, -48, 108, 0, 516, 0, 0, 0, 64, -52, 0, 0, 0, 52, 0, -152, -4, 0, 616, 176, 0, 24, 0, 0, 0, -8, 16, 0, 0, 0, -196, 0, 162, -104, 0, 500, 64, 0, 472, 0, 0, 0, 108, -560, 0, 0, 0, -36, 0, -16, 380, 0, 508, -220, 0, -12, 0, 0, 0, -596, 112, 0, 0, 0, -216, 0, -36, -84, 0, -56, -648, 0, 328, 0, 0, 0, 8, 144, 0, 0, 0, 90, 0, -424, -212, 0, 12, 76, 0, -80, 0, 0, 0, 20, -520, 0, 0, 0, 312, 0, 76, -32, 0, -216, 234, 0, -28, 0, 0, 0, 224, 56, 0, 0, 0, 420, 0, 160, 420, 0, -224, -4, 0, -28, 0, 0, 0, 80, 260, 0, 0, 0, -38, 0, -356, 112, 0, -80, 216, 0, -224, 0, 0, 0, -352, 92, 0, 0, 0, -56, 0, 72, -272, 0, -180, -344, 0, -84, 0, 0, 0, 80, 132, 0, 0, 0, 4, 0, 80, -96, 0, -40, -484, 0, -136, 0, 0, 0, -530, 0, 0, 0, 0, -176, 0, 46, -60, 0, -108, 172, 0, 4, 0, 0, 0, 44, 40, 0, 0, 0, -132, 0, -388, 488, 0, 68, 4, 0, -308, 0, 0, 0, 308, 192, 0, 0, 0, -160, 0, 180, -52, 0, -232, 100, 0, 0, 0, 0, 0, 124, -404, 0, 0, 0, 572, 0, 0, -112, 0, -168, 50, 0, -76, 0, 0, 0, -32, -60, 0, 0, 0, -40, 0, 216, -244, 0, 6, 172, 0, 420, 0, 0, 0, 248, 252, 0, 0, 0, 548, 0, 264, -48, 0, 68, -28, 0, -40, 0, 0, 0, 224, 12, 0, 0, 0, -108, 0, 56, -48, 0, 320, -44, 0, -128, 0, 0, 0, -38, 140, 0, 0, 0, -300, 0, -348, -108, 0, -68, 344, 0, 140, 0, 0, 0, 204, 84, 0, 0, 0, -196, 0, 4, -120, 0, 396, 104, 0, 704, 0, 0, 0, 4, -668, 0, 0, 0, -72, 0, 10, 784, 0, -16, -296, 0, -324, 0, 0, 0, -684, 184, 0, 0, 0, -328, 0, -40, 118, 0, 288, -628, 0, -16, 0, 0, 0, 88, 84, 0, 0, 0, -344, 0, -588, -220, 0, 108, 36, 0, -188, 0, 0, 0, -340, 236, 0, 0, 0, 700, 0, 0, -228, 0, -316, 24, 0, 268, 0, 0, 0, -120, 240, 0, 0, 0, 540, 0, 8, -220, 0, 20, 216, 0, -312, 0, 0, 0, 20, -18, 0, 0, 0, 28, 0, -668, 370, 0, 36, 236, 0, 132, 0, 0, 0, 268, -280, 0, 0, 0, -216, 0, 344, -36, 0, -140, -664, 0, -12, 0, 0, 0, 396, 64, 0, 0, 0, -124, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46251553
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 866, 'source_dim': 12, 'source_embedding_index': 11, 'source_hecke_orbit_code': 31525403583579557, 'source_is_minimal': False, 'source_label': '1445.2.d.h.866.11', 'source_level': 1445, 'target_conrey_index': 866, 'target_dim': 12, 'target_embedding_index': 11, 'target_hecke_orbit_code': 31525403583579557, 'target_is_minimal': False, 'target_label': '1445.2.d.h.866.11', 'target_level': 1445, 'twist_class_label': '1445.2.a.l.1.1', 'twist_class_level': 1445, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46251554
{'conductor': 17, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 866, 'source_dim': 12, 'source_embedding_index': 11, 'source_hecke_orbit_code': 31525403583579557, 'source_is_minimal': False, 'source_label': '1445.2.d.h.866.11', 'source_level': 1445, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595934631333, 'target_is_minimal': True, 'target_label': '1445.2.a.l.1.1', 'target_level': 1445, 'twist_class_label': '1445.2.a.l.1.1', 'twist_class_level': 1445, 'twisting_char_label': '17.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46251555
{'conductor': 17, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 866, 'source_dim': 12, 'source_embedding_index': 11, 'source_hecke_orbit_code': 31525403583579557, 'source_is_minimal': False, 'source_label': '1445.2.d.h.866.11', 'source_level': 1445, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195562001829, 'target_is_minimal': True, 'target_label': '1445.2.a.m.1.1', 'target_level': 1445, 'twist_class_label': '1445.2.a.l.1.1', 'twist_class_level': 1445, 'twisting_char_label': '17.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 46251556
{'conductor': 17, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 866, 'source_dim': 12, 'source_embedding_index': 11, 'source_hecke_orbit_code': 31525403583579557, 'source_is_minimal': False, 'source_label': '1445.2.d.h.866.11', 'source_level': 1445, 'target_conrey_index': 866, 'target_dim': 12, 'target_embedding_index': 12, 'target_hecke_orbit_code': 31525403583579557, 'target_is_minimal': False, 'target_label': '1445.2.d.h.866.12', 'target_level': 1445, 'twist_class_label': '1445.2.a.l.1.1', 'twist_class_level': 1445, 'twisting_char_label': '17.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 46251557
{'conductor': 85, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 866, 'source_dim': 12, 'source_embedding_index': 11, 'source_hecke_orbit_code': 31525403583579557, 'source_is_minimal': False, 'source_label': '1445.2.d.h.866.11', 'source_level': 1445, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 153122387364158521, 'target_is_minimal': False, 'target_label': '7225.2.a.bi.1.6', 'target_level': 7225, 'twist_class_label': '1445.2.a.l.1.1', 'twist_class_level': 1445, 'twisting_char_label': '85.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46251558
{'conductor': 85, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 866, 'source_dim': 12, 'source_embedding_index': 11, 'source_hecke_orbit_code': 31525403583579557, 'source_is_minimal': False, 'source_label': '1445.2.d.h.866.11', 'source_level': 1445, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 148618787736788025, 'target_is_minimal': False, 'target_label': '7225.2.a.bh.1.6', 'target_level': 7225, 'twist_class_label': '1445.2.a.l.1.1', 'twist_class_level': 1445, 'twisting_char_label': '85.64', 'twisting_conrey_index': 64, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1955075
{'charpoly_factorization': [[[3, -9, 0, 12, -3, -3, 1], 2]], 'hecke_orbit_code': 31525403583579557, 'p': 2}
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id: 1955076
{'charpoly_factorization': [[[1, 0, 213, 0, 534, 0, 449, 0, 150, 0, 21, 0, 1], 1]], 'hecke_orbit_code': 31525403583579557, 'p': 3}
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id: 1955077
{'charpoly_factorization': [[[1, 0, 1], 6]], 'hecke_orbit_code': 31525403583579557, 'p': 5}
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id: 1955078
{'charpoly_factorization': [[[11449, 0, 33486, 0, 23781, 0, 6578, 0, 834, 0, 48, 0, 1], 1]], 'hecke_orbit_code': 31525403583579557, 'p': 7}
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id: 1955079
{'charpoly_factorization': [[[651249, 0, 579123, 0, 189603, 0, 29244, 0, 2223, 0, 78, 0, 1], 1]], 'hecke_orbit_code': 31525403583579557, 'p': 11}
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id: 1955080
{'charpoly_factorization': [[[433, 174, -171, -79, 12, 9, 1], 2]], 'hecke_orbit_code': 31525403583579557, 'p': 13}
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id: 1955081
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 31525403583579557, 'p': 17}
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id: 1955082
{'charpoly_factorization': [[[-89, 228, 120, -386, 150, -21, 1], 2]], 'hecke_orbit_code': 31525403583579557, 'p': 19}
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id: 1955083
{'charpoly_factorization': [[[23357889, 0, 14527512, 0, 2629260, 0, 206091, 0, 7884, 0, 144, 0, 1], 1]], 'hecke_orbit_code': 31525403583579557, 'p': 23}
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id: 1955084
{'charpoly_factorization': [[[271359729, 0, 562885011, 0, 51643503, 0, 1884432, 0, 33687, 0, 294, 0, 1], 1]], 'hecke_orbit_code': 31525403583579557, 'p': 29}
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id: 1955085
{'charpoly_factorization': [[[7890481, 0, 15817479, 0, 4028331, 0, 368864, 0, 14163, 0, 210, 0, 1], 1]], 'hecke_orbit_code': 31525403583579557, 'p': 31}
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id: 1955086
{'charpoly_factorization': [[[5173493329, 0, 1258359534, 0, 101919537, 0, 3367439, 0, 51588, 0, 369, 0, 1], 1]], 'hecke_orbit_code': 31525403583579557, 'p': 37}
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id: 1955087
{'charpoly_factorization': [[[454840929, 0, 152974278, 0, 17764011, 0, 870672, 0, 20511, 0, 231, 0, 1], 1]], 'hecke_orbit_code': 31525403583579557, 'p': 41}
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id: 1955088
{'charpoly_factorization': [[[-2771, -2355, 8094, -3428, 555, -39, 1], 2]], 'hecke_orbit_code': 31525403583579557, 'p': 43}
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id: 1955089
{'charpoly_factorization': [[[3, 45, 180, 165, -84, -3, 1], 2]], 'hecke_orbit_code': 31525403583579557, 'p': 47}
-
id: 1955090
{'charpoly_factorization': [[[1791, 9504, -7605, 888, 117, -24, 1], 2]], 'hecke_orbit_code': 31525403583579557, 'p': 53}
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id: 1955091
{'charpoly_factorization': [[[182037, -73998, 810, 2199, -156, -12, 1], 2]], 'hecke_orbit_code': 31525403583579557, 'p': 59}
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id: 1955092
{'charpoly_factorization': [[[229189321, 0, 517460490, 0, 50652585, 0, 1900403, 0, 34200, 0, 297, 0, 1], 1]], 'hecke_orbit_code': 31525403583579557, 'p': 61}
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id: 1955093
{'charpoly_factorization': [[[-2753, -1836, 1191, 1190, 306, 30, 1], 2]], 'hecke_orbit_code': 31525403583579557, 'p': 67}
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id: 1955094
{'charpoly_factorization': [[[3381921, 0, 12888774, 0, 9860517, 0, 1498170, 0, 41490, 0, 384, 0, 1], 1]], 'hecke_orbit_code': 31525403583579557, 'p': 71}
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id: 1955095
{'charpoly_factorization': [[[546121, 0, 4737888, 0, 5449044, 0, 1106858, 0, 31500, 0, 309, 0, 1], 1]], 'hecke_orbit_code': 31525403583579557, 'p': 73}
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id: 1955096
{'charpoly_factorization': [[[516961, 0, 4924932, 0, 1741992, 0, 206210, 0, 10428, 0, 213, 0, 1], 1]], 'hecke_orbit_code': 31525403583579557, 'p': 79}
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id: 1955097
{'charpoly_factorization': [[[7617, 23337, -17271, 2928, -30, -21, 1], 2]], 'hecke_orbit_code': 31525403583579557, 'p': 83}
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id: 1955098
{'charpoly_factorization': [[[-19269, 9072, 6462, 141, -180, -6, 1], 2]], 'hecke_orbit_code': 31525403583579557, 'p': 89}
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id: 1955099
{'charpoly_factorization': [[[24467529241, 0, 4875753357, 0, 317590200, 0, 8615726, 0, 102924, 0, 540, 0, 1], 1]], 'hecke_orbit_code': 31525403583579557, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 8, 'label': '1445.2.d.h', 'level': 1445, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 49847383
{'hecke_orbit_code': 31525403583579557, 'n': 1, 'trace_an': 12}
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id: 49847384
{'hecke_orbit_code': 31525403583579557, 'n': 2, 'trace_an': 6}
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id: 49847385
{'hecke_orbit_code': 31525403583579557, 'n': 3, 'trace_an': 0}
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id: 49847386
{'hecke_orbit_code': 31525403583579557, 'n': 4, 'trace_an': 6}
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id: 49847387
{'hecke_orbit_code': 31525403583579557, 'n': 5, 'trace_an': 0}
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id: 49847388
{'hecke_orbit_code': 31525403583579557, 'n': 6, 'trace_an': 0}
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id: 49847389
{'hecke_orbit_code': 31525403583579557, 'n': 7, 'trace_an': 0}
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id: 49847390
{'hecke_orbit_code': 31525403583579557, 'n': 8, 'trace_an': 12}
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id: 49847391
{'hecke_orbit_code': 31525403583579557, 'n': 9, 'trace_an': -6}
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id: 49847392
{'hecke_orbit_code': 31525403583579557, 'n': 10, 'trace_an': 0}
-
id: 49847393
{'hecke_orbit_code': 31525403583579557, 'n': 11, 'trace_an': 0}
-
id: 49847394
{'hecke_orbit_code': 31525403583579557, 'n': 12, 'trace_an': 0}
-
id: 49847395
{'hecke_orbit_code': 31525403583579557, 'n': 13, 'trace_an': -18}
-
id: 49847396
{'hecke_orbit_code': 31525403583579557, 'n': 14, 'trace_an': 0}
-
id: 49847397
{'hecke_orbit_code': 31525403583579557, 'n': 15, 'trace_an': 6}
-
id: 49847398
{'hecke_orbit_code': 31525403583579557, 'n': 16, 'trace_an': -6}
-
id: 49847399
{'hecke_orbit_code': 31525403583579557, 'n': 17, 'trace_an': 0}
-
id: 49847400
{'hecke_orbit_code': 31525403583579557, 'n': 18, 'trace_an': -30}
-
id: 49847401
{'hecke_orbit_code': 31525403583579557, 'n': 19, 'trace_an': 42}
-
id: 49847402
{'hecke_orbit_code': 31525403583579557, 'n': 20, 'trace_an': 0}
-
id: 49847403
{'hecke_orbit_code': 31525403583579557, 'n': 21, 'trace_an': -24}
-
id: 49847404
{'hecke_orbit_code': 31525403583579557, 'n': 22, 'trace_an': 0}
-
id: 49847405
{'hecke_orbit_code': 31525403583579557, 'n': 23, 'trace_an': 0}
-
id: 49847406
{'hecke_orbit_code': 31525403583579557, 'n': 24, 'trace_an': 0}
-
id: 49847407
{'hecke_orbit_code': 31525403583579557, 'n': 25, 'trace_an': -12}
-
id: 49847408
{'hecke_orbit_code': 31525403583579557, 'n': 26, 'trace_an': 12}
-
id: 49847409
{'hecke_orbit_code': 31525403583579557, 'n': 27, 'trace_an': 0}
-
id: 49847410
{'hecke_orbit_code': 31525403583579557, 'n': 28, 'trace_an': 0}
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id: 49847411
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id: 49847612
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id: 49847616
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id: 49847627
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id: 49847629
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id: 49847640
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