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{'Nk2': 19368, 'analytic_conductor': 38.66356465870396, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [269, -1]], 'atkin_lehner_string': '+--', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [4842, 1, [2153, 271], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 7, 'field_disc': 17268565565, 'field_disc_factorization': [[5, 1], [14741, 1], [234293, 1]], 'field_poly': [48, -44, -53, 49, 16, -15, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [4, 130, 109, -161, -109, -4, 7, 1]], [7, [-19, 18, 137, -258, 142, -14, -6, 1]]], 'hecke_orbit': 14, 'hecke_orbit_code': 58546795189375722, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '4842.2.a.n', 'level': 4842, '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, 269], 'level_radical': 1614, 'minimal_twist': '538.2.a.e', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}+(-1-\\beta _{4})q^{5}+(1-\\beta _{2}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 7, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4842.2.a', 'trace_display': [-7, 0, -7, 6], 'trace_hash': 232785786746729590, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 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'label': '4842.2.a.n.1.4', 'level': 4842, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [9, 14, 15, 18, 14, 9, 13, 21], 'Nk2': 19368, 'analytic_conductor': 38.66356465870396, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [4842, 1, [2153, 271], [1, 1]], 'conrey_index': 1, 'cusp_dim': 803, 'dim': 113, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 33559274, 'hecke_orbit_dims': [1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 5, 6, 6, 7, 7, 8, 8, 9, 9, 13, 13], 'label': '4842.2.a', 'level': 4842, '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, 269], 'level_radical': 1614, 'mf_dim': 818, 'mf_new_dim': 113, 'num_forms': 21, 'plus_dim': 49, 'prim_orbit_index': 1, 'relative_dim': 113, 'sturm_bound': 1620, 'trace_bound': 7, 'trace_display': [1, 0, -4, -4], 'traces': [113, 1, 0, 113, -4, 0, -4, 1, 0, -2, 2, 0, 0, -4, 0, 113, 14, 0, -4, -4, 0, -8, -4, 0, 109, 6, 0, -4, 18, 0, 12, 1, 0, 2, -4, 0, 12, 10, 0, -2, 10, 0, 2, 2, 0, 0, -8, 0, 137, -1, 0, 0, -12, 0, 4, -4, 0, 12, 44, 0, 28, 4, 0, 113, 28, 0, -2, 14, 0, 16, -12, 0, 26, 6, 0, -4, 4, 0, 24, -4, 0, -10, 52, 0, -4, 20, 0, -8, -38, 0, -28, -4, 0, -4, -8, 0, 22, -7, 0, 109, -14, 0, 0, 6, 0, 6, -48, 0, -30, 12, 0, -4, 66, 0, -4, 18, 0, 14, 28, 0, 67, 30, 0, 12, -48, 0, 20, 1, 0, 20, -46, 0, 8, 4, 0, 2, -6, 0, 8, -4, 0, 12, -40, 0, -28, 18, 0, 12, 8, 0, -32, 10, 0, -16, -16, 0, -2, 4, 0, -2, -72, 0, 8, 10, 0, -10, 12, 0, 137, 44, 0, 2, -8, 0, -32, 2, 0, 14, -72, 0, 58, 4, 0, 0, -52, 0, -60, -8, 0, 52, -12, 0, -26, 2, 0, 137, -2, 0, -20, -1, 0, 28, 72, 0, 76, -16, 0, 0, -68, 0, 10, -12, 0, 22, 0, 0, -8, 64, 0, 4, 24, 0, 24, -4, 0, -2, 48, 0, 26, 52, 0, 12, -42, 0, 44, 44, 0, -20, 88, 0, 2, 37, 0, 28, -56, 0, 32, 4, 0, -12, 20, 0, -60, -16, 0, 113, -26, 0, -24, 28, 0, -44, -76, 0, 40, 32, 0, -2, 11, 0, 56, 14, 0, -22, 70, 0, -58, -4, 0, 16, 74, 0, -54, -12, 0, -24, 64, 0, 27, 80, 0, 26, 104, 0, 40, 6, 0, -34, -40, 0, 64, -4, 0, -4, 66, 0, 62, 4, 0, -8, 68, 0, -94, -60, 0, 24, 142, 0, -92, -4, 0, -72, 0, 0, 56, -10, 0, -10, 92, 0, -22, 52, 0, -24, 88, 0, 66, 135, 0, -4, 24, 0, -68, 20, 0, -34, -2, 0, -24, -10, 0, -8, 10, 0, 104, -38, 0, 90, 72, 0, 127, -48, 0, -28, 60, 0, 36, -4, 0, 76, 4, 0, 86, 16, 0, -4, -32, 0, -16, -8, 0, -64, -20, 0, 36, -18, 0, 22, -52, 0, -72, -7, 0, -12, -104, 0, 26, -12, 0, 109, 42, 0, -84, -14, 0, 4, -108, 0, -54, 36, 0, 0, 130, 0, -116, 6, 0, -56, 106, 0, -124, 20, 0, 6, 74, 0, 24, -48, 0, 72, -76, 0, 18, 40, 0, -30, -152, 0, -144, 12, 0, 20, 40, 0, -20, 12, 0, -4, -90, 0, -136, 66, 0, 10, -24, 0, 74, 28, 0, -4, 70, 0, 28, 18, 0, -82, 8, 0, 140, 20, 0, 14, -48, 0, 28, 28, 0, 36, 136, 0, -24, 30, 0, 67, 48, 0, 48, 30, 0, -10, 78, 0, 8, -146, 0, 12, -64, 0, -132, -48, 0, 54, -52, 0, -44, 0, 0, 20, 70, 0, 40, 1, 0, -26, -76, 0, -36, 68, 0, 20, 94, 0, -140, -46, 0, 80, -204, 0, 177, -20, 0, 8, 92, 0, -24, 4, 0, -5, 8, 0, -122, 50, 0, 2, 204, 0, -56, -6, 0, -36, -132, 0, -40, 66, 0, 8, -30, 0, -92, -4, 0, 46, 176, 0, -4, 76, 0, 12, -2, 0, -20, -40, 0, 42, -60, 0, -58, 51, 0, -28, 28, 0, -24, 18, 0, -62, -56, 0, -20, -112, 0, 12, -80, 0, -104, 8, 0, 136, -116, 0, 46, -10, 0, -32, -92, 0, -100, 10, 0, 68, -152, 0, -154, -20, 0, -16, -190, 0, -52, -16, 0, -60, 28, 0, 145, -6, 0, -2, -92, 0, -92, 4, 0, -32, -32, 0, 16, 10, 0, -2, 106, 0, 10, -72, 0, -4, -52, 0, 40, 134, 0, 8, 112, 0, -104, 10, 0, 152, 80, 0, -46, -20, 0, -10, 120, 0, -96, 12, 0, 20, -160, 0, 34, -118, 0, 137, -162, 0, 44, 44, 0, -78, 128, 0, 4, -44, 0, 2, 112, 0, -72, -8, 0, -24, 144, 0, -200, -74, 0, -32, 38, 0, 16, 2, 0, 22, -218, 0, 30, -2, 0, 14, 48, 0, -80, -72, 0, 68, -200, 0, -276, -35, 0, 58, 114, 0, -116, 4, 0, -144, -148, 0, -70, -26, 0, 0, -168, 0, -160, -52, 0, 16, 68, 0, -208, -132, 0, -60, -184, 0, -60, -8, 0, 144, -200, 0, -222, 86, 0, 52, 150, 0, 162, -12, 0, 32, -84, 0, 58, -16, 0, -26, -108, 0, -56, 2, 0, -82, -4, 0, -24, -84, 0, 137, -224, 0, -10, -2, 0, -156, 88, 0, -48, 70, 0, -20, -262, 0, -56, -1, 0, 34, -72, 0, 260, -104, 0, 28, -270, 0, -250, 72, 0, -192, -176, 0, -48, 6, 0, 76, -192, 0, -64, -16, 0, 40, -92, 0, 102, -248, 0, 0, 202, 0, -288, -68, 0, 16, -192, 0, 137, 66, 0, 10, 62, 0, -96, -12, 0, 38, 216, 0, 58, -180, 0, 22, -50, 0, 6, 0, 0, -138, -148, 0, -60, 50, 0, -8, 76, 0, -204, 64, 0, -12, -92, 0, -80, 8, 0, 4, -110, 0, -40, 24, 0, -10, -100, 0, -52, 8, 0, 24, -248, 0, 0, -4, 0, 62, -246, 0, 220, -12, 0, -2, 60, 0, -138, 48, 0, -172, -324, 0, 116, 26, 0, 26, -84, 0, -48, 52, 0, -32, 56, 0, -120, -92, 0, 12, 170, 0, 92, -42, 0, -38, -104, 0, -82, 90, 0, 44, 14, 0, 72, 44, 0, 40, -248, 0, -132, 126, 0, -20, 154, 0, -16, 88, 0, -16, 44, 0, 57, -68, 0, 2, -228, 0, 108, 37, 0, 156, 2, 0, 52, 112, 0, 28, -98, 0, -10, -56, 0, -196, 92, 0, -144, 136, 0, 32, 92, 0, 28, 4, 0, 120, -164, 0, -28, -28, 0, -12], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47649598
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 4, 'source_hecke_orbit_code': 58546795189375722, 'source_is_minimal': False, 'source_label': '4842.2.a.n.1.4', 'source_level': 4842, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 4, 'target_hecke_orbit_code': 58546795189375722, 'target_is_minimal': False, 'target_label': '4842.2.a.n.1.4', 'target_level': 4842, 'twist_class_label': '538.2.a.e.1.5', 'twist_class_level': 538, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47649599
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 4, 'source_hecke_orbit_code': 58546795189375722, 'source_is_minimal': False, 'source_label': '4842.2.a.n.1.4', 'source_level': 4842, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 5, 'target_hecke_orbit_code': 18014398543036954, 'target_is_minimal': True, 'target_label': '538.2.a.e.1.5', 'target_level': 538, 'twist_class_label': '538.2.a.e.1.5', 'twist_class_level': 538, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47649600
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 4, 'source_hecke_orbit_code': 58546795189375722, 'source_is_minimal': False, 'source_label': '4842.2.a.n.1.4', 'source_level': 4842, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 3, 'target_hecke_orbit_code': 31525197425152208, 'target_is_minimal': False, 'target_label': '4304.2.a.h.1.3', 'target_level': 4304, 'twist_class_label': '538.2.a.e.1.5', 'twist_class_level': 538, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3722225
{'charpoly_factorization': [[[1, 1], 7]], 'hecke_orbit_code': 58546795189375722, 'p': 2}
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id: 3722226
{'charpoly_factorization': [[[0, 1], 7]], 'hecke_orbit_code': 58546795189375722, 'p': 3}
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id: 3722227
{'charpoly_factorization': [[[4, 130, 109, -161, -109, -4, 7, 1], 1]], 'hecke_orbit_code': 58546795189375722, 'p': 5}
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id: 3722228
{'charpoly_factorization': [[[-19, 18, 137, -258, 142, -14, -6, 1], 1]], 'hecke_orbit_code': 58546795189375722, 'p': 7}
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id: 3722229
{'charpoly_factorization': [[[-288, 992, -856, 100, 130, -33, -3, 1], 1]], 'hecke_orbit_code': 58546795189375722, 'p': 11}
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id: 3722230
{'charpoly_factorization': [[[4, 54, 117, -79, -71, 8, 9, 1], 1]], 'hecke_orbit_code': 58546795189375722, 'p': 13}
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id: 3722231
{'charpoly_factorization': [[[22016, 28800, 10144, -160, -600, -56, 8, 1], 1]], 'hecke_orbit_code': 58546795189375722, 'p': 17}
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id: 3722232
{'charpoly_factorization': [[[-20, 930, 523, -243, -159, 6, 11, 1], 1]], 'hecke_orbit_code': 58546795189375722, 'p': 19}
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id: 3722233
{'charpoly_factorization': [[[-2432, 128, 1984, -96, -328, -4, 12, 1], 1]], 'hecke_orbit_code': 58546795189375722, 'p': 23}
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id: 3722234
{'charpoly_factorization': [[[27040, -3520, -8504, 1148, 550, -91, -5, 1], 1]], 'hecke_orbit_code': 58546795189375722, 'p': 29}
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id: 3722235
{'charpoly_factorization': [[[250907, 12318, -29227, 112, 1118, -48, -14, 1], 1]], 'hecke_orbit_code': 58546795189375722, 'p': 31}
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id: 3722236
{'charpoly_factorization': [[[2236, -6334, 6617, -3069, 557, 8, -13, 1], 1]], 'hecke_orbit_code': 58546795189375722, 'p': 37}
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id: 3722237
{'charpoly_factorization': [[[288917, 283216, 66207, -1850, -1984, -118, 12, 1], 1]], 'hecke_orbit_code': 58546795189375722, 'p': 41}
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id: 3722238
{'charpoly_factorization': [[[-227616, -125152, 57704, 6544, -1888, -177, 11, 1], 1]], 'hecke_orbit_code': 58546795189375722, 'p': 43}
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id: 3722239
{'charpoly_factorization': [[[-64896, 7040, 22272, 4112, -512, -136, 2, 1], 1]], 'hecke_orbit_code': 58546795189375722, 'p': 47}
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id: 3722240
{'charpoly_factorization': [[[26988, 34744, 6267, -4543, -1045, 34, 19, 1], 1]], 'hecke_orbit_code': 58546795189375722, 'p': 53}
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id: 3722241
{'charpoly_factorization': [[[146660, -110010, -10809, 12187, 993, -192, -9, 1], 1]], 'hecke_orbit_code': 58546795189375722, 'p': 59}
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id: 3722242
{'charpoly_factorization': [[[210068, -244198, 11313, 14299, -393, -224, 3, 1], 1]], 'hecke_orbit_code': 58546795189375722, 'p': 61}
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id: 3722243
{'charpoly_factorization': [[[-251936, -324816, -134232, -20132, 120, 339, 33, 1], 1]], 'hecke_orbit_code': 58546795189375722, 'p': 67}
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id: 3722244
{'charpoly_factorization': [[[-28293, 49934, -5673, -5670, 44, 230, 28, 1], 1]], 'hecke_orbit_code': 58546795189375722, 'p': 71}
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id: 3722245
{'charpoly_factorization': [[[-382603, 60650, 140233, 18928, -3216, -276, 14, 1], 1]], 'hecke_orbit_code': 58546795189375722, 'p': 73}
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id: 3722246
{'charpoly_factorization': [[[14720, -27840, -23488, 13872, 696, -276, -2, 1], 1]], 'hecke_orbit_code': 58546795189375722, 'p': 79}
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id: 3722247
{'charpoly_factorization': [[[441152, -314672, -32255, 16333, 867, -244, -7, 1], 1]], 'hecke_orbit_code': 58546795189375722, 'p': 83}
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id: 3722248
{'charpoly_factorization': [[[-1143155, 264570, 229377, 196, -5004, -232, 18, 1], 1]], 'hecke_orbit_code': 58546795189375722, 'p': 89}
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id: 3722249
{'charpoly_factorization': [[[15927, 65768, 41513, 4178, -1844, -266, 4, 1], 1]], 'hecke_orbit_code': 58546795189375722, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 14, 'label': '4842.2.a.n', 'level': 4842, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 58571653
{'hecke_orbit_code': 58546795189375722, 'n': 1, 'trace_an': 7}
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id: 58571654
{'hecke_orbit_code': 58546795189375722, 'n': 2, 'trace_an': -7}
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id: 58571655
{'hecke_orbit_code': 58546795189375722, 'n': 3, 'trace_an': 0}
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id: 58571656
{'hecke_orbit_code': 58546795189375722, 'n': 4, 'trace_an': 7}
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id: 58571657
{'hecke_orbit_code': 58546795189375722, 'n': 5, 'trace_an': -7}
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id: 58571658
{'hecke_orbit_code': 58546795189375722, 'n': 6, 'trace_an': 0}
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id: 58571659
{'hecke_orbit_code': 58546795189375722, 'n': 7, 'trace_an': 6}
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id: 58571660
{'hecke_orbit_code': 58546795189375722, 'n': 8, 'trace_an': -7}
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id: 58571661
{'hecke_orbit_code': 58546795189375722, 'n': 9, 'trace_an': 0}
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id: 58571662
{'hecke_orbit_code': 58546795189375722, 'n': 10, 'trace_an': 7}
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id: 58571663
{'hecke_orbit_code': 58546795189375722, 'n': 11, 'trace_an': 3}
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id: 58571664
{'hecke_orbit_code': 58546795189375722, 'n': 12, 'trace_an': 0}
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id: 58571665
{'hecke_orbit_code': 58546795189375722, 'n': 13, 'trace_an': -9}
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id: 58571666
{'hecke_orbit_code': 58546795189375722, 'n': 14, 'trace_an': -6}
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id: 58571667
{'hecke_orbit_code': 58546795189375722, 'n': 15, 'trace_an': 0}
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id: 58571668
{'hecke_orbit_code': 58546795189375722, 'n': 16, 'trace_an': 7}
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id: 58571669
{'hecke_orbit_code': 58546795189375722, 'n': 17, 'trace_an': -8}
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