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mf_newforms • Show schema
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{'Nk2': 3600, 'analytic_conductor': 13.275429751291638, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 45, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 6, 'char_parity': 1, 'char_values': [225, 6, [101, 127], [2, 3]], 'cm_discs': [], 'conrey_index': 49, 'conrey_indexes': [49, 124], 'dim': 12, 'field_disc': 63582987234115584, 'field_disc_factorization': [[2, 16], [3, 6], [191, 4]], 'field_poly': [81, 0, 585, 0, 886, 0, -719, 0, 198, 0, -23, 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, [81, 0, -2655, 0, 86710, 0, -10307, 0, 930, 0, -35, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007886516617441, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 576, 'hecke_ring_index_factorization': [[2, 6], [3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 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mf_hecke_cc • Show schema
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'char_orbit_index': 11, 'conrey_index': 49, 'dual_conrey_index': 124, 'dual_embedding_index': 4, 'dual_embedding_m': 10, 'embedding_index': 4, 'embedding_m': 4, 'embedding_root_imag': 0.5, 'embedding_root_real': -1.9811573911964393, 'hecke_orbit': 3, 'hecke_orbit_code': 9007886516617441, 'label': '225.4.k.c.49.4', 'level': 225, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 3600, 'analytic_conductor': 13.275429751291638, 'char_conductor': 45, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 6, 'char_parity': 1, 'char_values': [225, 6, [101, 127], [2, 3]], 'conrey_index': 49, 'cusp_dim': 168, 'dim': 104, 'eis_dim': 24, 'eis_new_dim': 8, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 687261876449, 'hecke_orbit_dims': [8, 8, 12, 28, 48], 'label': '225.4.k', 'level': 225, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 192, 'mf_new_dim': 112, 'num_forms': 5, 'prim_orbit_index': 10, 'relative_dim': 52, 'sturm_bound': 120, 'trace_bound': 4, 'trace_display': [0, 0, 0, 0], 'traces': [104, 0, 0, 202, 0, -4, 0, 0, 64, 0, -98, 0, 0, -6, 0, -754, 0, 0, 8, 0, -78, 0, 0, -510, 0, 1192, 0, 0, 682, 0, 34, 0, 0, -378, 0, -128, 0, 0, -58, 0, -502, 0, 0, -4664, 0, 1104, 0, 0, 2358, 0, 68, 0, 0, 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mf_twists_cc • Show schema
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id: 41206053
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007886516617441, 'source_is_minimal': False, 'source_label': '225.4.k.c.49.4', 'source_level': 225, 'target_conrey_index': 49, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007886516617441, 'target_is_minimal': False, 'target_label': '225.4.k.c.49.4', 'target_level': 225, 'twist_class_label': '45.4.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 41206054
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007886516617441, 'source_is_minimal': False, 'source_label': '225.4.k.c.49.4', 'source_level': 225, 'target_conrey_index': 31, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503874572386349, 'target_is_minimal': True, 'target_label': '45.4.e.b.31.2', 'target_level': 45, 'twist_class_label': '45.4.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 41206055
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007886516617441, 'source_is_minimal': False, 'source_label': '225.4.k.c.49.4', 'source_level': 225, 'target_conrey_index': 76, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007474199757025, 'target_is_minimal': False, 'target_label': '225.4.e.c.76.2', 'target_level': 225, 'twist_class_label': '45.4.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 41206056
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007886516617441, 'source_is_minimal': False, 'source_label': '225.4.k.c.49.4', 'source_level': 225, 'target_conrey_index': 49, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007886516617441, 'target_is_minimal': False, 'target_label': '225.4.k.c.49.3', 'target_level': 225, 'twist_class_label': '45.4.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 41206057
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007886516617441, 'source_is_minimal': False, 'source_label': '225.4.k.c.49.4', 'source_level': 225, 'target_conrey_index': 124, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007886516617441, 'target_is_minimal': False, 'target_label': '225.4.k.c.124.3', 'target_level': 225, 'twist_class_label': '45.4.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 4}
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id: 41206058
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007886516617441, 'source_is_minimal': False, 'source_label': '225.4.k.c.49.4', 'source_level': 225, 'target_conrey_index': 91, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503874572386439, 'target_is_minimal': False, 'target_label': '135.4.e.b.91.2', 'target_level': 135, 'twist_class_label': '45.4.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 41206059
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007886516617441, 'source_is_minimal': False, 'source_label': '225.4.k.c.49.4', 'source_level': 225, 'target_conrey_index': 46, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503874572386439, 'target_is_minimal': False, 'target_label': '135.4.e.b.46.2', 'target_level': 135, 'twist_class_label': '45.4.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '45.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 41206060
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007886516617441, 'source_is_minimal': False, 'source_label': '225.4.k.c.49.4', 'source_level': 225, 'target_conrey_index': 16, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503874572386349, 'target_is_minimal': True, 'target_label': '45.4.e.b.16.2', 'target_level': 45, 'twist_class_label': '45.4.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '45.7', 'twisting_conrey_index': 7, 'weight': 4}
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id: 41206061
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007886516617441, 'source_is_minimal': False, 'source_label': '225.4.k.c.49.4', 'source_level': 225, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 81064793359779817, 'target_is_minimal': False, 'target_label': '2025.4.a.s.1.2', 'target_level': 2025, 'twist_class_label': '45.4.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '45.13', 'twisting_conrey_index': 13, 'weight': 4}
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id: 41206062
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007886516617441, 'source_is_minimal': False, 'source_label': '225.4.k.c.49.4', 'source_level': 225, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525197458702741, 'target_is_minimal': False, 'target_label': '405.4.a.h.1.2', 'target_level': 405, 'twist_class_label': '45.4.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '45.22', 'twisting_conrey_index': 22, 'weight': 4}
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id: 41206063
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007886516617441, 'source_is_minimal': False, 'source_label': '225.4.k.c.49.4', 'source_level': 225, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 72057594105038825, 'target_is_minimal': False, 'target_label': '2025.4.a.q.1.2', 'target_level': 2025, 'twist_class_label': '45.4.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '45.23', 'twisting_conrey_index': 23, 'weight': 4}
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id: 41206064
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007886516617441, 'source_is_minimal': False, 'source_label': '225.4.k.c.49.4', 'source_level': 225, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532396713443733, 'target_is_minimal': False, 'target_label': '405.4.a.j.1.2', 'target_level': 405, 'twist_class_label': '45.4.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 4}
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id: 41206065
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007886516617441, 'source_is_minimal': False, 'source_label': '225.4.k.c.49.4', 'source_level': 225, 'target_conrey_index': 124, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007886516617441, 'target_is_minimal': False, 'target_label': '225.4.k.c.124.4', 'target_level': 225, 'twist_class_label': '45.4.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '45.34', 'twisting_conrey_index': 34, 'weight': 4}
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id: 41206066
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007886516617441, 'source_is_minimal': False, 'source_label': '225.4.k.c.49.4', 'source_level': 225, 'target_conrey_index': 151, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007474199757025, 'target_is_minimal': False, 'target_label': '225.4.e.c.151.2', 'target_level': 225, 'twist_class_label': '45.4.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '45.43', 'twisting_conrey_index': 43, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 539750
{'charpoly_factorization': [[[81, 0, -2655, 0, 86710, 0, -10307, 0, 930, 0, -35, 0, 1], 1]], 'hecke_orbit_code': 9007886516617441, 'p': 2}
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id: 539751
{'charpoly_factorization': [[[387420489, 0, 30292137, 0, 1640250, 0, 77517, 0, 2250, 0, 57, 0, 1], 1]], 'hecke_orbit_code': 9007886516617441, 'p': 3}
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id: 539752
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 9007886516617441, 'p': 5}
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id: 539753
{'charpoly_factorization': [[[811313702977761, 0, -14156533177983, 0, 205458430878, 0, -668166075, 0, 1631674, 0, -1459, 0, 1], 1]], 'hecke_orbit_code': 9007886516617441, 'p': 7}
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id: 539754
{'charpoly_factorization': [[[1896428304, -122631168, 7320184, -126520, 3012, 14, 1], 2]], 'hecke_orbit_code': 9007886516617441, 'p': 11}
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id: 539755
{'charpoly_factorization': [[[32259361226118390016, 0, -68392067190914304, 0, 108054911793792, 0, -66957956704, 0, 30260592, 0, -6504, 0, 1], 1]], 'hecke_orbit_code': 9007886516617441, 'p': 13}
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id: 539756
{'charpoly_factorization': [[[24437192976, 0, 27666832, 0, 9716, 0, 1], 2]], 'hecke_orbit_code': 9007886516617441, 'p': 17}
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id: 539757
{'charpoly_factorization': [[[-57316, 7292, -164, 1], 4]], 'hecke_orbit_code': 9007886516617441, 'p': 19}
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id: 539758
{'charpoly_factorization': [[[14036574567470305761, 0, -165939452573967927, 0, 1815958493546022, 0, -1715751132507, 0, 1469463282, 0, -38907, 0, 1], 1]], 'hecke_orbit_code': 9007886516617441, 'p': 23}
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id: 539759
{'charpoly_factorization': [[[11463342489, -2926248177, 782851006, 9370019, 84894, 335, 1], 2]], 'hecke_orbit_code': 9007886516617441, 'p': 29}
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id: 539760
{'charpoly_factorization': [[[97238137683600, -137382616080, 3665151504, -14817816, 137836, -352, 1], 2]], 'hecke_orbit_code': 9007886516617441, 'p': 31}
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id: 539761
{'charpoly_factorization': [[[11124119360656, 0, 3292053600, 0, 112188, 0, 1], 2]], 'hecke_orbit_code': 9007886516617441, 'p': 37}
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id: 539762
{'charpoly_factorization': [[[52247959475625, 322359380175, 3340579834, 6116911, 79566, 187, 1], 2]], 'hecke_orbit_code': 9007886516617441, 'p': 41}
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id: 539763
{'charpoly_factorization': [[[56898145507124883941863403776, 0, -4459220351128655700959232, 0, 267782176102116896832, 0, -5925591427156192, 0, 98606441232, 0, -342492, 0, 1], 1]], 'hecke_orbit_code': 9007886516617441, 'p': 43}
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id: 539764
{'charpoly_factorization': [[[38286043236838722053233521, 0, -35703009857835290114019, 0, 31737062392410542434, 0, -1439749703256995, 0, 57564148998, 0, -251663, 0, 1], 1]], 'hecke_orbit_code': 9007886516617441, 'p': 47}
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id: 539765
{'charpoly_factorization': [[[10565984287296, 0, 6553907440, 0, 320300, 0, 1], 2]], 'hecke_orbit_code': 9007886516617441, 'p': 53}
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id: 539766
{'charpoly_factorization': [[[16224618881802816, 45173097261024, 163730383744, 149067880, 443448, 298, 1], 2]], 'hecke_orbit_code': 9007886516617441, 'p': 59}
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id: 539767
{'charpoly_factorization': [[[3092861048569009, -32773423076579, 267254918066, -736785779, 1481414, -1439, 1], 2]], 'hecke_orbit_code': 9007886516617441, 'p': 61}
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id: 539768
{'charpoly_factorization': [[[1899868810860442455044631386744961, 0, -18484368809385495402984732507, 0, 126164050945605000548802, 0, -435051095147093547, 0, 1092386569462, 0, -1231447, 0, 1], 1]], 'hecke_orbit_code': 9007886516617441, 'p': 67}
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id: 539769
{'charpoly_factorization': [[[223775052, -685460, -70, 1], 4]], 'hecke_orbit_code': 9007886516617441, 'p': 71}
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id: 539770
{'charpoly_factorization': [[[18205496100929536, 0, 238382112768, 0, 881280, 0, 1], 2]], 'hecke_orbit_code': 9007886516617441, 'p': 73}
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id: 539771
{'charpoly_factorization': [[[19133137244437056, 53658650075616, 203324256864, 128458200, 533848, 382, 1], 2]], 'hecke_orbit_code': 9007886516617441, 'p': 79}
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id: 539772
{'charpoly_factorization': [[[834733317214416476040569086198161681, 0, -2682869519327020941778096506471, 0, 5870521297093663018874574, 0, -7018863830915788035, 0, 6138727687818, 0, -3012507, 0, 1], 1]], 'hecke_orbit_code': 9007886516617441, 'p': 83}
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id: 539773
{'charpoly_factorization': [[[-125506395, 238491, 1719, 1], 4]], 'hecke_orbit_code': 9007886516617441, 'p': 89}
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id: 539774
{'charpoly_factorization': [[[81539559902400628367457980416, 0, -4029009030033073739627520, 0, 137726664993265251840, 0, -2460481517295808, 0, 32055240480, 0, -214860, 0, 1], 1]], 'hecke_orbit_code': 9007886516617441, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 11, 'hecke_orbit': 3, 'label': '225.4.k.c', 'level': 225, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
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id: 121711000
{'hecke_orbit_code': 9007886516617441, 'n': 1, 'trace_an': 12}
-
id: 121711001
{'hecke_orbit_code': 9007886516617441, 'n': 2, 'trace_an': 0}
-
id: 121711002
{'hecke_orbit_code': 9007886516617441, 'n': 3, 'trace_an': 0}
-
id: 121711003
{'hecke_orbit_code': 9007886516617441, 'n': 4, 'trace_an': 22}
-
id: 121711004
{'hecke_orbit_code': 9007886516617441, 'n': 5, 'trace_an': 0}
-
id: 121711005
{'hecke_orbit_code': 9007886516617441, 'n': 6, 'trace_an': 168}
-
id: 121711006
{'hecke_orbit_code': 9007886516617441, 'n': 7, 'trace_an': 0}
-
id: 121711007
{'hecke_orbit_code': 9007886516617441, 'n': 8, 'trace_an': 0}
-
id: 121711008
{'hecke_orbit_code': 9007886516617441, 'n': 9, 'trace_an': -114}
-
id: 121711009
{'hecke_orbit_code': 9007886516617441, 'n': 10, 'trace_an': 0}
-
id: 121711010
{'hecke_orbit_code': 9007886516617441, 'n': 11, 'trace_an': -28}
-
id: 121711011
{'hecke_orbit_code': 9007886516617441, 'n': 12, 'trace_an': 0}
-
id: 121711012
{'hecke_orbit_code': 9007886516617441, 'n': 13, 'trace_an': 0}
-
id: 121711013
{'hecke_orbit_code': 9007886516617441, 'n': 14, 'trace_an': -54}
-
id: 121711014
{'hecke_orbit_code': 9007886516617441, 'n': 15, 'trace_an': 0}
-
id: 121711015
{'hecke_orbit_code': 9007886516617441, 'n': 16, 'trace_an': 26}
-
id: 121711016
{'hecke_orbit_code': 9007886516617441, 'n': 17, 'trace_an': 0}
-
id: 121711017
{'hecke_orbit_code': 9007886516617441, 'n': 18, 'trace_an': 0}
-
id: 121711018
{'hecke_orbit_code': 9007886516617441, 'n': 19, 'trace_an': 656}
-
id: 121711019
{'hecke_orbit_code': 9007886516617441, 'n': 20, 'trace_an': 0}
-
id: 121711020
{'hecke_orbit_code': 9007886516617441, 'n': 21, 'trace_an': -288}
-
id: 121711021
{'hecke_orbit_code': 9007886516617441, 'n': 22, 'trace_an': 0}
-
id: 121711022
{'hecke_orbit_code': 9007886516617441, 'n': 23, 'trace_an': 0}
-
id: 121711023
{'hecke_orbit_code': 9007886516617441, 'n': 24, 'trace_an': 126}
-
id: 121711024
{'hecke_orbit_code': 9007886516617441, 'n': 25, 'trace_an': 0}
-
id: 121711025
{'hecke_orbit_code': 9007886516617441, 'n': 26, 'trace_an': 1736}
-
id: 121711026
{'hecke_orbit_code': 9007886516617441, 'n': 27, 'trace_an': 0}
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{'hecke_orbit_code': 9007886516617441, 'n': 1000, 'trace_an': 0}