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mf_newforms • Show schema
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{'Nk2': 2288, 'analytic_conductor': 4.567442995617238, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [572, 3, [287, 365, 353], [3, 3, 1]], 'cm_discs': [], 'conrey_index': 133, 'conrey_indexes': [133, 529], 'dim': 10, 'field_disc': -28131133027248, 'field_disc_factorization': [[-1, 1], [2, 4], [3, 5], [85061, 2]], 'field_poly': [4, -12, 38, -26, 47, 2, 59, 6, 9, -1, 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': [[3, [4, -12, 38, -26, 47, 2, 59, 6, 9, -1, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007749044109884, 'hecke_ring_generator_nbound': 9, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[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': 2288, 'analytic_conductor': 4.567442995617238, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [572, 3, [287, 365, 353], [3, 3, 1]], 'conrey_index': 133, 'cusp_dim': 156, 'dim': 20, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 549789368892, 'hecke_orbit_dims': [4, 6, 10], 'label': '572.2.i', 'level': 572, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 11, 13], 'level_radical': 286, 'mf_dim': 180, 'mf_new_dim': 20, 'num_forms': 3, 'prim_orbit_index': 3, 'relative_dim': 10, 'sturm_bound': 168, 'trace_bound': 1, 'trace_display': [0, 2, 4, -6], 'traces': [20, 0, 2, 0, 4, 0, -6, 0, -4, 0, 0, 0, 12, 0, 16, 0, -2, 0, 10, 0, -4, 0, -14, 0, 24, 0, -40, 0, -10, 0, 20, 0, 0, 0, 8, 0, 4, 0, 24, 0, 2, 0, -14, 0, -16, 0, 8, 0, 0, 0, -44, 0, 4, 0, 0, 0, 64, 0, 0, 0, -8, 0, 10, 0, -26, 0, 6, 0, 26, 0, 2, 0, -64, 0, 42, 0, -16, 0, 16, 0, -18, 0, -12, 0, -30, 0, -12, 0, 10, 0, -10, 0, -46, 0, 12, 0, 46, 0, 0, 0, 4, 0, 24, 0, 20, 0, 30, 0, -36, 0, 26, 0, 20, 0, -20, 0, 6, 0, -36, 0, -10, 0, -18, 0, 72, 0, -50, 0, -8, 0, 4, 0, -22, 0, -104, 0, 0, 0, -24, 0, 22, 0, -4, 0, -14, 0, -54, 0, -18, 0, -48, 0, -28, 0, -4, 0, 0, 0, -36, 0, -44, 0, 6, 0, 8, 0, -10, 0, 38, 0, 46, 0, 44, 0, -74, 0, 124, 0, 12, 0, 16, 0, -8, 0, 76, 0, 8, 0, 14, 0, -32, 0, -28, 0, -108, 0, 44, 0, 6, 0, 36, 0, 16, 0, 18, 0, -28, 0, -28, 0, -26, 0, -8, 0, 82, 0, -14, 0, -28, 0, 30, 0, 2, 0, -6, 0, 34, 0, -156, 0, 10, 0, 16, 0, -68, 0, 8, 0, 40, 0, -14, 0, 42, 0, -26, 0, -36, 0, 12, 0, 62, 0, 0, 0, 48, 0, 26, 0, 4, 0, 120, 0, 18, 0, -68, 0, -56, 0, 78, 0, 32, 0, -56, 0, -16, 0, -60, 0, -36, 0, 12, 0, 60, 0, 172, 0, -8, 0, -12, 0, 212, 0, 28, 0, 36, 0, 12, 0, 24, 0, 20, 0, -46, 0, 6, 0, 92, 0, -74, 0, 12, 0, 8, 0, 72, 0, 60, 0, -10, 0, -14, 0, 4, 0, 28, 0, -24, 0, -86, 0, -24, 0, 24, 0, 60, 0, -32, 0, 8, 0, 28, 0, -48, 0, -10, 0, 10, 0, 14, 0, 174, 0, 56, 0, 60, 0, 86, 0, 68, 0, 66, 0, -4, 0, -144, 0, -42, 0, -176, 0, -104, 0, -46, 0, 10, 0, -28, 0, 4, 0, 52, 0, 40, 0, -44, 0, -72, 0, -64, 0, 68, 0, 36, 0, -72, 0, 18, 0, -22, 0, -14, 0, 64, 0, -128, 0, 16, 0, -94, 0, -36, 0, -66, 0, -92, 0, -160, 0, -30, 0, 88, 0, -6, 0, 8, 0, -46, 0, -12, 0, -8, 0, 42, 0, 96, 0, -248, 0, -78, 0, -28, 0, 84, 0, -18, 0, 80, 0, -64, 0, 8, 0, -14, 0, -74, 0, 44, 0, 116, 0, -16, 0, -4, 0, -12, 0, 36, 0, 72, 0, 6, 0, 28, 0, 112, 0, -16, 0, 18, 0, -92, 0, 104, 0, -46, 0, -24, 0, -56, 0, 4, 0, -164, 0, 112, 0, -48, 0, -16, 0, 4, 0, -4, 0, 68, 0, 110, 0, -30, 0, 80, 0, -122, 0, -356, 0, 28, 0, 20, 0, -64, 0, 24, 0, 132, 0, 30, 0, -36, 0, 68, 0, -92, 0, 4, 0, 2, 0, 12, 0, 236, 0, 36, 0, 0, 0, -48, 0, -94, 0, -132, 0, -24, 0, -32, 0, -32, 0, -112, 0, -36, 0, -118, 0, -22, 0, 124, 0, 104, 0, -24, 0, -104, 0, -118, 0, 88, 0, 14, 0, -4, 0, 16, 0, 162, 0, 14, 0, -106, 0, 118, 0, 456, 0, -100, 0, 124, 0, 72, 0, -22, 0, 92, 0, -2, 0, -40, 0, 8, 0, 80, 0, -64, 0, -156, 0, -52, 0, 4, 0, 86, 0, 168, 0, 268, 0, -20, 0, -144, 0, -36, 0, -12, 0, -38, 0, 28, 0, -26, 0, 26, 0, -20, 0, -72, 0, 74, 0, -32, 0, -108, 0, 8, 0, 52, 0, 80, 0, -24, 0, -48, 0, -50, 0, -50, 0, -52, 0, 108, 0, -88, 0, -88, 0, -164, 0, 8, 0, 18, 0, -212, 0, 22, 0, -30, 0, -10, 0, 94, 0, -150, 0, 30, 0, 8, 0, 28, 0, -76, 0, -96, 0, 28, 0, -46, 0, 56, 0, -34, 0, 28, 0, 90, 0, 8, 0, 188, 0, 2, 0, -22, 0, -184, 0, -234, 0, 120, 0, -88, 0, 82, 0, -44, 0, -102, 0, -8, 0, -22, 0, -144, 0, -6, 0, 114, 0, -96, 0, 284, 0, 24, 0, -84, 0, -96, 0, 88, 0, 24, 0, -34, 0, 126, 0, 20, 0, -234, 0, 96, 0, -84, 0, 28, 0, -296, 0, -16, 0, 64, 0, -8, 0, 80, 0, 84, 0, 24, 0, 42, 0, 20, 0, 88, 0, -60, 0, 84, 0, 48, 0, -568, 0, 44, 0, 212, 0, 104, 0, -22, 0, 192, 0, 14, 0, -106, 0, -18, 0, -116, 0, -30, 0, 248, 0, 72, 0, 284, 0, -18, 0, -44, 0, 192, 0, -68, 0, -32, 0, -10, 0, -18, 0, 20, 0, -26, 0, -6, 0, 38, 0, 70, 0, 160, 0, 362, 0, 128, 0, -192, 0, 130, 0, -92, 0, 92, 0, 14, 0, -4, 0, 68, 0, 92, 0, -146, 0, 24, 0, 320, 0, 70, 0, 68, 0, 104, 0, 80, 0, 296, 0, -32, 0, -12, 0, -32, 0, 90, 0, -94, 0, -134, 0, -52, 0, -56, 0, 86, 0, -368, 0, 272, 0, 22, 0, -180, 0, 124, 0, 52, 0, -116, 0, 232, 0, 142, 0, -6, 0, 28, 0, 152, 0, 252, 0, -20, 0, -28, 0, 34, 0, 80, 0, -106, 0, 12, 0, 68, 0, 16, 0, -28, 0, 26, 0, 90, 0, -132, 0, -218, 0, 144, 0, -244, 0, -42, 0, -268, 0, 30, 0, 90, 0, -28, 0, -192, 0, -108, 0, 48, 0, -150, 0, 224, 0, -158, 0, 20, 0, -344, 0, 14, 0, 48, 0, -130, 0, -36, 0, -52, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 41089383
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 133, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007749044109884, 'source_is_minimal': True, 'source_label': '572.2.i.c.133.1', 'source_level': 572, 'target_conrey_index': 133, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007749044109884, 'target_is_minimal': True, 'target_label': '572.2.i.c.133.1', 'target_level': 572, 'twist_class_label': '572.2.i.c.133.1', 'twist_class_level': 572, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 41089384
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 133, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007749044109884, 'source_is_minimal': True, 'source_label': '572.2.i.c.133.1', 'source_level': 572, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 76561193698860300, 'target_is_minimal': False, 'target_label': '7436.2.a.r.1.5', 'target_level': 7436, 'twist_class_label': '572.2.i.c.133.1', 'twist_class_level': 572, 'twisting_char_label': '13.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 41089385
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 133, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007749044109884, 'source_is_minimal': True, 'source_label': '572.2.i.c.133.1', 'source_level': 572, 'target_conrey_index': 529, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007749044109884, 'target_is_minimal': True, 'target_label': '572.2.i.c.529.1', 'target_level': 572, 'twist_class_label': '572.2.i.c.133.1', 'twist_class_level': 572, 'twisting_char_label': '13.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 41089386
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 133, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007749044109884, 'source_is_minimal': True, 'source_label': '572.2.i.c.133.1', 'source_level': 572, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 72057594071489804, 'target_is_minimal': False, 'target_label': '7436.2.a.q.1.5', 'target_level': 7436, 'twist_class_label': '572.2.i.c.133.1', 'twist_class_level': 572, 'twisting_char_label': '13.10', 'twisting_conrey_index': 10, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1063075
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 9007749044109884, 'p': 2}
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id: 1063076
{'charpoly_factorization': [[[4, -12, 38, -26, 47, 2, 59, 6, 9, -1, 1], 1]], 'hecke_orbit_code': 9007749044109884, 'p': 3}
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id: 1063077
{'charpoly_factorization': [[[-7, 44, 18, -19, -1, 1], 2]], 'hecke_orbit_code': 9007749044109884, 'p': 5}
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id: 1063078
{'charpoly_factorization': [[[36, -108, 294, -258, 271, 100, 173, 24, 15, -1, 1], 1]], 'hecke_orbit_code': 9007749044109884, 'p': 7}
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id: 1063079
{'charpoly_factorization': [[[1, 1, 1], 5]], 'hecke_orbit_code': 9007749044109884, 'p': 11}
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id: 1063080
{'charpoly_factorization': [[[371293, -28561, -32955, 4732, 1157, -21, 89, 28, -15, -1, 1], 1]], 'hecke_orbit_code': 9007749044109884, 'p': 13}
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id: 1063081
{'charpoly_factorization': [[[3969, 4158, 5994, 1434, 2137, 317, 637, -23, 34, 3, 1], 1]], 'hecke_orbit_code': 9007749044109884, 'p': 17}
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id: 1063082
{'charpoly_factorization': [[[2916, -9720, 27594, -18288, 12349, -2397, 1689, -430, 123, -12, 1], 1]], 'hecke_orbit_code': 9007749044109884, 'p': 19}
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id: 1063083
{'charpoly_factorization': [[[1106704, -100992, 262748, 77840, 48221, 8662, 2459, 300, 75, 7, 1], 1]], 'hecke_orbit_code': 9007749044109884, 'p': 23}
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id: 1063084
{'charpoly_factorization': [[[463761, -1101177, 3089346, 1186977, 407851, 63689, 10523, 954, 144, 10, 1], 1]], 'hecke_orbit_code': 9007749044109884, 'p': 29}
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id: 1063085
{'charpoly_factorization': [[[4124, 328, -393, -37, 9, 1], 2]], 'hecke_orbit_code': 9007749044109884, 'p': 31}
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id: 1063086
{'charpoly_factorization': [[[30625, 7875, 15850, -1455, 4761, -601, 871, -218, 94, -10, 1], 1]], 'hecke_orbit_code': 9007749044109884, 'p': 37}
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id: 1063087
{'charpoly_factorization': [[[80089, 102446, 115762, 40490, 17725, 1905, 1277, 77, 62, -5, 1], 1]], 'hecke_orbit_code': 9007749044109884, 'p': 41}
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id: 1063088
{'charpoly_factorization': [[[4096, 4096, 8128, 3520, 8641, 5445, 2663, 700, 137, 14, 1], 1]], 'hecke_orbit_code': 9007749044109884, 'p': 43}
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id: 1063089
{'charpoly_factorization': [[[-866, -1424, -615, -25, 12, 1], 2]], 'hecke_orbit_code': 9007749044109884, 'p': 47}
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id: 1063090
{'charpoly_factorization': [[[8799, -150, -1300, -149, 7, 1], 2]], 'hecke_orbit_code': 9007749044109884, 'p': 53}
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id: 1063091
{'charpoly_factorization': [[[40804, -317544, 2311402, -1213152, 509397, -84275, 13525, -982, 139, -8, 1], 1]], 'hecke_orbit_code': 9007749044109884, 'p': 59}
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id: 1063092
{'charpoly_factorization': [[[1570009, -1367023, 1141414, -268089, 122265, -34513, 9893, -1698, 234, -18, 1], 1]], 'hecke_orbit_code': 9007749044109884, 'p': 61}
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id: 1063093
{'charpoly_factorization': [[[252004, -2071252, 17039438, -28718, 645119, -13590, 20179, -218, 157, 1, 1], 1]], 'hecke_orbit_code': 9007749044109884, 'p': 67}
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id: 1063094
{'charpoly_factorization': [[[1373584, -3295664, 7924924, -262540, 362269, 13750, 14133, 360, 139, -3, 1], 1]], 'hecke_orbit_code': 9007749044109884, 'p': 71}
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id: 1063095
{'charpoly_factorization': [[[3672, 5580, 2754, 505, 38, 1], 2]], 'hecke_orbit_code': 9007749044109884, 'p': 73}
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id: 1063096
{'charpoly_factorization': [[[23216, 9736, 216, -202, -6, 1], 2]], 'hecke_orbit_code': 9007749044109884, 'p': 79}
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id: 1063097
{'charpoly_factorization': [[[626, 392, -249, -73, 14, 1], 2]], 'hecke_orbit_code': 9007749044109884, 'p': 83}
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id: 1063098
{'charpoly_factorization': [[[2663424, 2232576, 2212512, 373416, 272689, -38758, 48233, -6276, 639, -29, 1], 1]], 'hecke_orbit_code': 9007749044109884, 'p': 89}
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id: 1063099
{'charpoly_factorization': [[[35617024, -95297024, 236303152, -49426752, 9197409, -805493, 83702, -5313, 486, -21, 1], 1]], 'hecke_orbit_code': 9007749044109884, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 9, 'hecke_orbit': 3, 'label': '572.2.i.c', 'level': 572, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 120765000
{'hecke_orbit_code': 9007749044109884, 'n': 1, 'trace_an': 10}
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id: 120765001
{'hecke_orbit_code': 9007749044109884, 'n': 2, 'trace_an': 0}
-
id: 120765002
{'hecke_orbit_code': 9007749044109884, 'n': 3, 'trace_an': 1}
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id: 120765003
{'hecke_orbit_code': 9007749044109884, 'n': 4, 'trace_an': 0}
-
id: 120765004
{'hecke_orbit_code': 9007749044109884, 'n': 5, 'trace_an': 2}
-
id: 120765005
{'hecke_orbit_code': 9007749044109884, 'n': 6, 'trace_an': 0}
-
id: 120765006
{'hecke_orbit_code': 9007749044109884, 'n': 7, 'trace_an': 1}
-
id: 120765007
{'hecke_orbit_code': 9007749044109884, 'n': 8, 'trace_an': 0}
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id: 120765008
{'hecke_orbit_code': 9007749044109884, 'n': 9, 'trace_an': -2}
-
id: 120765009
{'hecke_orbit_code': 9007749044109884, 'n': 10, 'trace_an': 0}
-
id: 120765010
{'hecke_orbit_code': 9007749044109884, 'n': 11, 'trace_an': -5}
-
id: 120765011
{'hecke_orbit_code': 9007749044109884, 'n': 12, 'trace_an': 0}
-
id: 120765012
{'hecke_orbit_code': 9007749044109884, 'n': 13, 'trace_an': 1}
-
id: 120765013
{'hecke_orbit_code': 9007749044109884, 'n': 14, 'trace_an': 0}
-
id: 120765014
{'hecke_orbit_code': 9007749044109884, 'n': 15, 'trace_an': 12}
-
id: 120765015
{'hecke_orbit_code': 9007749044109884, 'n': 16, 'trace_an': 0}
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id: 120765016
{'hecke_orbit_code': 9007749044109884, 'n': 17, 'trace_an': -3}
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id: 120765017
{'hecke_orbit_code': 9007749044109884, 'n': 18, 'trace_an': 0}
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id: 120765018
{'hecke_orbit_code': 9007749044109884, 'n': 19, 'trace_an': 12}
-
id: 120765019
{'hecke_orbit_code': 9007749044109884, 'n': 20, 'trace_an': 0}
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id: 120765020
{'hecke_orbit_code': 9007749044109884, 'n': 21, 'trace_an': -12}
-
id: 120765021
{'hecke_orbit_code': 9007749044109884, 'n': 22, 'trace_an': 0}
-
id: 120765022
{'hecke_orbit_code': 9007749044109884, 'n': 23, 'trace_an': -7}
-
id: 120765023
{'hecke_orbit_code': 9007749044109884, 'n': 24, 'trace_an': 0}
-
id: 120765024
{'hecke_orbit_code': 9007749044109884, 'n': 25, 'trace_an': 28}
-
id: 120765025
{'hecke_orbit_code': 9007749044109884, 'n': 26, 'trace_an': 0}
-
id: 120765026
{'hecke_orbit_code': 9007749044109884, 'n': 27, 'trace_an': -32}
-
id: 120765027
{'hecke_orbit_code': 9007749044109884, 'n': 28, 'trace_an': 0}
-
id: 120765028
{'hecke_orbit_code': 9007749044109884, 'n': 29, 'trace_an': -10}
-
id: 120765029
{'hecke_orbit_code': 9007749044109884, 'n': 30, 'trace_an': 0}
-
id: 120765030
{'hecke_orbit_code': 9007749044109884, 'n': 31, 'trace_an': -18}
-
id: 120765031
{'hecke_orbit_code': 9007749044109884, 'n': 32, 'trace_an': 0}
-
id: 120765032
{'hecke_orbit_code': 9007749044109884, 'n': 33, 'trace_an': 1}
-
id: 120765033
{'hecke_orbit_code': 9007749044109884, 'n': 34, 'trace_an': 0}
-
id: 120765034
{'hecke_orbit_code': 9007749044109884, 'n': 35, 'trace_an': 15}
-
id: 120765035
{'hecke_orbit_code': 9007749044109884, 'n': 36, 'trace_an': 0}
-
id: 120765036
{'hecke_orbit_code': 9007749044109884, 'n': 37, 'trace_an': 10}
-
id: 120765037
{'hecke_orbit_code': 9007749044109884, 'n': 38, 'trace_an': 0}
-
id: 120765038
{'hecke_orbit_code': 9007749044109884, 'n': 39, 'trace_an': 0}
-
id: 120765039
{'hecke_orbit_code': 9007749044109884, 'n': 40, 'trace_an': 0}
-
id: 120765040
{'hecke_orbit_code': 9007749044109884, 'n': 41, 'trace_an': 5}
-
id: 120765041
{'hecke_orbit_code': 9007749044109884, 'n': 42, 'trace_an': 0}
-
id: 120765042
{'hecke_orbit_code': 9007749044109884, 'n': 43, 'trace_an': -14}
-
id: 120765043
{'hecke_orbit_code': 9007749044109884, 'n': 44, 'trace_an': 0}
-
id: 120765044
{'hecke_orbit_code': 9007749044109884, 'n': 45, 'trace_an': -36}
-
id: 120765045
{'hecke_orbit_code': 9007749044109884, 'n': 46, 'trace_an': 0}
-
id: 120765046
{'hecke_orbit_code': 9007749044109884, 'n': 47, 'trace_an': -24}
-
id: 120765047
{'hecke_orbit_code': 9007749044109884, 'n': 48, 'trace_an': 0}
-
id: 120765048
{'hecke_orbit_code': 9007749044109884, 'n': 49, 'trace_an': 6}
-
id: 120765049
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