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{'Nk2': 18400, 'analytic_conductor': 36.731184929788974, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, 1], [23, 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': [4600, 1, [1151, 2301, 2577, 1201], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 15529, 'field_disc_factorization': [[53, 1], [293, 1]], 'field_poly': [2, -1, -6, -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': [[3, [-2, 9, -9, 0, 1]], [7, [8, -4, -12, -1, 1]], [11, [40, -16, -22, -1, 1]]], 'hecke_orbit': 28, 'hecke_orbit_code': 121597189972562424, 'hecke_ring_generator_nbound': 3, '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': True, 'label': '4600.2.a.bb', 'level': 4600, '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, 5, 23], 'level_radical': 230, 'minimal_twist': '4600.2.a.ba', 'nf_label': '4.4.15529.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{3}q^{3}+(\\beta _{1}-\\beta _{2})q^{7}+(2-2\\beta _{1}+\\beta _{2}+\\cdots)q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4600.2.a', 'trace_display': [0, 0, 0, 1], 'trace_hash': 2007255600973971419, 'trace_moments': [{'__RealLiteral__': 0, 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mf_newspaces • Show schema
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{'ALdims': [13, 14, 14, 12, 12, 11, 13, 15], 'Nk2': 18400, 'analytic_conductor': 36.731184929788974, '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': [4600, 1, [1151, 2301, 2577, 1201], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 697, 'dim': 104, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11], 'hecke_orbit_code': 33559032, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 7, 7, 8, 8], 'label': '4600.2.a', 'level': 4600, '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, 5, 23], 'level_radical': 230, 'mf_dim': 744, 'mf_new_dim': 104, 'num_forms': 37, 'plus_dim': 49, 'prim_orbit_index': 1, 'relative_dim': 104, 'sturm_bound': 1440, 'trace_bound': 11, 'trace_display': [0, 0, 0, -8], 'traces': [104, 0, 0, 0, 0, 0, -8, 0, 96, 0, 2, 0, -4, 0, 0, 0, 0, 0, 2, 0, -4, 0, 0, 0, 0, 0, -12, 0, 16, 0, -20, 0, -12, 0, 0, 0, 10, 0, 20, 0, 4, 0, -10, 0, 0, 0, -4, 0, 112, 0, 40, 0, -18, 0, 0, 0, -32, 0, 48, 0, 14, 0, 20, 0, 0, 0, 6, 0, -4, 0, 28, 0, -16, 0, 0, 0, -8, 0, -68, 0, 88, 0, 14, 0, 0, 0, 20, 0, 12, 0, -60, 0, 4, 0, 0, 0, -16, 0, 74, 0, -80, 0, -28, 0, 0, 0, 18, 0, -66, 0, -60, 0, 44, 0, 0, 0, 0, 0, -24, 0, 88, 0, 44, 0, 0, 0, -28, 0, 16, 0, 76, 0, -16, 0, 0, 0, -28, 0, -40, 0, 36, 0, 56, 0, 0, 0, 24, 0, -30, 0, 44, 0, 36, 0, 0, 0, -18, 0, 56, 0, -8, 0, -16, 0, 0, 0, 64, 0, 92, 0, -26, 0, 36, 0, 0, 0, 16, 0, 36, 0, -54, 0, 24, 0, 0, 0, -28, 0, 52, 0, -56, 0, 28, 0, 0, 0, 72, 0, 32, 0, -144, 0, 52, 0, 0, 0, 0, 0, -64, 0, -20, 0, 36, 0, 0, 0, 84, 0, -16, 0, -20, 0, -48, 0, 0, 0, 10, 0, 62, 0, 112, 0, 12, 0, 0, 0, 112, 0, 28, 0, 84, 0, 44, 0, 0, 0, -44, 0, -128, 0, -18, 0, 2, 0, 0, 0, -48, 0, -64, 0, 188, 0, 24, 0, 0, 0, -80, 0, -56, 0, -16, 0, -28, 0, 0, 0, 8, 0, -56, 0, -60, 0, 82, 0, 0, 0, 60, 0, 148, 0, -44, 0, 14, 0, 0, 0, -84, 0, 24, 0, -128, 0, 48, 0, 0, 0, -68, 0, -164, 0, 28, 0, 4, 0, 0, 0, 4, 0, 128, 0, -100, 0, 92, 0, 0, 0, -8, 0, -4, 0, 24, 0, 46, 0, 0, 0, -56, 0, -32, 0, 68, 0, -184, 0, 0, 0, -12, 0, -8, 0, -28, 0, -84, 0, 0, 0, 56, 0, 28, 0, 64, 0, 56, 0, 0, 0, -16, 0, -100, 0, -24, 0, -14, 0, 0, 0, 36, 0, -102, 0, -84, 0, -96, 0, 0, 0, 30, 0, 62, 0, 0, 0, 36, 0, 0, 0, -36, 0, -56, 0, 4, 0, -60, 0, 0, 0, 64, 0, -80, 0, 4, 0, -8, 0, 0, 0, -60, 0, -30, 0, 134, 0, -96, 0, 0, 0, -112, 0, 124, 0, 116, 0, -64, 0, 0, 0, 10, 0, -12, 0, 192, 0, -32, 0, 0, 0, -192, 0, -72, 0, -12, 0, 204, 0, 0, 0, 8, 0, 216, 0, -48, 0, -64, 0, 0, 0, -86, 0, -48, 0, 16, 0, -108, 0, 0, 0, -90, 0, -84, 0, -128, 0, -12, 0, 0, 0, -36, 0, 8, 0, -64, 0, -84, 0, 0, 0, 12, 0, 16, 0, 0, 0, 100, 0, 0, 0, -132, 0, 8, 0, -60, 0, -184, 0, 0, 0, -100, 0, 0, 0, 8, 0, -130, 0, 0, 0, 156, 0, 104, 0, 200, 0, -20, 0, 0, 0, 52, 0, 74, 0, -136, 0, -60, 0, 0, 0, -20, 0, 22, 0, -4, 0, -88, 0, 0, 0, 66, 0, -20, 0, -220, 0, -82, 0, 0, 0, 192, 0, -76, 0, 90, 0, 236, 0, 0, 0, -72, 0, 32, 0, 16, 0, 104, 0, 0, 0, -92, 0, -88, 0, 284, 0, -4, 0, 0, 0, -36, 0, 8, 0, -212, 0, -62, 0, 0, 0, -96, 0, -140, 0, 4, 0, 46, 0, 0, 0, -136, 0, 50, 0, -16, 0, -40, 0, 0, 0, 208, 0, 68, 0, -72, 0, 136, 0, 0, 0, -100, 0, -32, 0, 124, 0, 42, 0, 0, 0, 84, 0, -176, 0, -28, 0, 44, 0, 0, 0, 76, 0, 254, 0, -34, 0, 20, 0, 0, 0, -4, 0, 48, 0, -176, 0, -40, 0, 0, 0, 174, 0, -120, 0, -180, 0, -92, 0, 0, 0, -72, 0, -4, 0, -316, 0, 88, 0, 0, 0, 60, 0, 212, 0, -78, 0, 104, 0, 0, 0, 72, 0, 206, 0, 60, 0, 24, 0, 0, 0, -4, 0, 40, 0, -88, 0, 100, 0, 0, 0, 40, 0, 360, 0, 156, 0, -62, 0, 0, 0, 164, 0, -240, 0, 256, 0, 204, 0, 0, 0, 282, 0, 40, 0, -24, 0, 180, 0, 0, 0, -130, 0, -20, 0, 64, 0, -56, 0, 0, 0, 48, 0, -220, 0, 404, 0, -134, 0, 0, 0, 48, 0, 0, 0, 60, 0, -44, 0, 0, 0, 150, 0, 280, 0, 48, 0, 116, 0, 0, 0, -94, 0, 92, 0, 96, 0, -112, 0, 0, 0, 140, 0, 32, 0, 148, 0, -224, 0, 0, 0, 52, 0, -48, 0, 16, 0, -4, 0, 0, 0, 2, 0, -236, 0, 100, 0, -128, 0, 0, 0, 44, 0, -76, 0, 108, 0, -28, 0, 0, 0, -32, 0, 48, 0, 38, 0, 128, 0, 0, 0, -84, 0, -12, 0, 132, 0, -92, 0, 0, 0, 224, 0, 128, 0, -432, 0, -12, 0, 0, 0, -12, 0, -232, 0, 172, 0, -192, 0, 0, 0, 52, 0, -116, 0, -38, 0, 16, 0, 0, 0, 8, 0, 12, 0, -28, 0, 120, 0, 0, 0, -58, 0, -432, 0, -420, 0, 100, 0, 0, 0, 68, 0, -16, 0, 228, 0, -12, 0, 0, 0, -224, 0, -168, 0, -118, 0, -116, 0, 0, 0, -4, 0, -312, 0, -258, 0, -20, 0, 0, 0, 136, 0, -60, 0, -128, 0, -164, 0, 0, 0, 92, 0, -64, 0, -92, 0, 274, 0, 0, 0, -116, 0, -12, 0, 22, 0, -284, 0, 0, 0, -128, 0, 288, 0, -338, 0, -36, 0, 0, 0, 52, 0, -6, 0, 64, 0, -84, 0, 0, 0, 28, 0, -20, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48639210
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 121597189972562424, 'source_is_minimal': True, 'source_label': '4600.2.a.bb.1.2', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 121597189972562424, 'target_is_minimal': True, 'target_label': '4600.2.a.bb.1.2', 'target_level': 4600, 'twist_class_label': '4600.2.a.ba.1.3', 'twist_class_level': 4600, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48639211
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 121597189972562424, 'source_is_minimal': True, 'source_label': '4600.2.a.bb.1.2', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 292733975812645872, 'target_is_minimal': False, 'target_label': '9200.2.a.cn.1.3', 'target_level': 9200, 'twist_class_label': '4600.2.a.ba.1.3', 'twist_class_level': 4600, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48639212
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 121597189972562424, 'source_is_minimal': True, 'source_label': '4600.2.a.bb.1.2', 'source_level': 4600, 'target_conrey_index': 4049, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 85568667831505400, 'target_is_minimal': False, 'target_label': '4600.2.e.t.4049.4', 'target_level': 4600, 'twist_class_label': '4600.2.a.ba.1.3', 'twist_class_level': 4600, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48639213
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 121597189972562424, 'source_is_minimal': True, 'source_label': '4600.2.a.bb.1.2', 'source_level': 4600, 'target_conrey_index': 4049, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 85568667831505400, 'target_is_minimal': False, 'target_label': '4600.2.e.t.4049.5', 'target_level': 4600, 'twist_class_label': '4600.2.a.ba.1.3', 'twist_class_level': 4600, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48639214
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 121597189972562424, 'source_is_minimal': True, 'source_label': '4600.2.a.bb.1.2', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 117093590345191928, 'target_is_minimal': True, 'target_label': '4600.2.a.ba.1.3', 'target_level': 4600, 'twist_class_label': '4600.2.a.ba.1.3', 'twist_class_level': 4600, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48639215
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 121597189972562424, 'source_is_minimal': True, 'source_label': '4600.2.a.bb.1.2', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 301741175067386864, 'target_is_minimal': False, 'target_label': '9200.2.a.cp.1.2', 'target_level': 9200, 'twist_class_label': '4600.2.a.ba.1.3', 'twist_class_level': 4600, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3646900
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 121597189972562424, 'p': 2}
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id: 3646901
{'charpoly_factorization': [[[-2, 9, -9, 0, 1], 1]], 'hecke_orbit_code': 121597189972562424, 'p': 3}
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id: 3646902
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 121597189972562424, 'p': 5}
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id: 3646903
{'charpoly_factorization': [[[8, -4, -12, -1, 1], 1]], 'hecke_orbit_code': 121597189972562424, 'p': 7}
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id: 3646904
{'charpoly_factorization': [[[40, -16, -22, -1, 1], 1]], 'hecke_orbit_code': 121597189972562424, 'p': 11}
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id: 3646905
{'charpoly_factorization': [[[-167, -150, -31, 3, 1], 1]], 'hecke_orbit_code': 121597189972562424, 'p': 13}
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id: 3646906
{'charpoly_factorization': [[[32, 8, -24, 2, 1], 1]], 'hecke_orbit_code': 121597189972562424, 'p': 17}
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id: 3646907
{'charpoly_factorization': [[[-184, 16, 62, 15, 1], 1]], 'hecke_orbit_code': 121597189972562424, 'p': 19}
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id: 3646908
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 121597189972562424, 'p': 23}
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id: 3646909
{'charpoly_factorization': [[[893, 78, -71, -1, 1], 1]], 'hecke_orbit_code': 121597189972562424, 'p': 29}
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id: 3646910
{'charpoly_factorization': [[[46, -81, 21, 12, 1], 1]], 'hecke_orbit_code': 121597189972562424, 'p': 31}
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id: 3646911
{'charpoly_factorization': [[[-752, -144, 68, 18, 1], 1]], 'hecke_orbit_code': 121597189972562424, 'p': 37}
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id: 3646912
{'charpoly_factorization': [[[-47, -18, 17, 9, 1], 1]], 'hecke_orbit_code': 121597189972562424, 'p': 41}
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id: 3646913
{'charpoly_factorization': [[[512, 256, -40, -9, 1], 1]], 'hecke_orbit_code': 121597189972562424, 'p': 43}
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id: 3646914
{'charpoly_factorization': [[[16, 23, -7, -4, 1], 1]], 'hecke_orbit_code': 121597189972562424, 'p': 47}
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id: 3646915
{'charpoly_factorization': [[[-512, -576, -144, 0, 1], 1]], 'hecke_orbit_code': 121597189972562424, 'p': 53}
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id: 3646916
{'charpoly_factorization': [[[6246, -213, -175, 5, 1], 1]], 'hecke_orbit_code': 121597189972562424, 'p': 59}
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id: 3646917
{'charpoly_factorization': [[[-2736, 960, -28, -14, 1], 1]], 'hecke_orbit_code': 121597189972562424, 'p': 61}
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id: 3646918
{'charpoly_factorization': [[[-64, -40, 60, -16, 1], 1]], 'hecke_orbit_code': 121597189972562424, 'p': 67}
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id: 3646919
{'charpoly_factorization': [[[522, -69, -59, 2, 1], 1]], 'hecke_orbit_code': 121597189972562424, 'p': 71}
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id: 3646920
{'charpoly_factorization': [[[-347, -30, 105, 21, 1], 1]], 'hecke_orbit_code': 121597189972562424, 'p': 73}
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id: 3646921
{'charpoly_factorization': [[[9664, -2400, -108, 21, 1], 1]], 'hecke_orbit_code': 121597189972562424, 'p': 79}
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id: 3646922
{'charpoly_factorization': [[[4248, 612, -116, -9, 1], 1]], 'hecke_orbit_code': 121597189972562424, 'p': 83}
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id: 3646923
{'charpoly_factorization': [[[-80, -152, 44, 16, 1], 1]], 'hecke_orbit_code': 121597189972562424, 'p': 89}
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id: 3646924
{'charpoly_factorization': [[[5024, 3048, 556, 40, 1], 1]], 'hecke_orbit_code': 121597189972562424, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 28, 'label': '4600.2.a.bb', 'level': 4600, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 67568113
{'hecke_orbit_code': 121597189972562424, 'n': 1, 'trace_an': 4}
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id: 67568114
{'hecke_orbit_code': 121597189972562424, 'n': 2, 'trace_an': 0}
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id: 67568115
{'hecke_orbit_code': 121597189972562424, 'n': 3, 'trace_an': 0}
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id: 67568116
{'hecke_orbit_code': 121597189972562424, 'n': 4, 'trace_an': 0}
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id: 67568117
{'hecke_orbit_code': 121597189972562424, 'n': 5, 'trace_an': 0}
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id: 67568118
{'hecke_orbit_code': 121597189972562424, 'n': 6, 'trace_an': 0}
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id: 67568119
{'hecke_orbit_code': 121597189972562424, 'n': 7, 'trace_an': 1}
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id: 67568120
{'hecke_orbit_code': 121597189972562424, 'n': 8, 'trace_an': 0}
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id: 67568121
{'hecke_orbit_code': 121597189972562424, 'n': 9, 'trace_an': 6}
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id: 67568122
{'hecke_orbit_code': 121597189972562424, 'n': 10, 'trace_an': 0}
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id: 67568123
{'hecke_orbit_code': 121597189972562424, 'n': 11, 'trace_an': 1}
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id: 67568124
{'hecke_orbit_code': 121597189972562424, 'n': 12, 'trace_an': 0}
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id: 67568125
{'hecke_orbit_code': 121597189972562424, 'n': 13, 'trace_an': -3}
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id: 67568126
{'hecke_orbit_code': 121597189972562424, 'n': 14, 'trace_an': 0}
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id: 67568127
{'hecke_orbit_code': 121597189972562424, 'n': 15, 'trace_an': 0}
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id: 67568128
{'hecke_orbit_code': 121597189972562424, 'n': 16, 'trace_an': 0}
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id: 67568129
{'hecke_orbit_code': 121597189972562424, 'n': 17, 'trace_an': -2}
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id: 67568130
{'hecke_orbit_code': 121597189972562424, 'n': 18, 'trace_an': 0}
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id: 67568131
{'hecke_orbit_code': 121597189972562424, 'n': 19, 'trace_an': -15}
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id: 67568132
{'hecke_orbit_code': 121597189972562424, 'n': 20, 'trace_an': 0}
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id: 67568133
{'hecke_orbit_code': 121597189972562424, 'n': 21, 'trace_an': 8}
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id: 67568134
{'hecke_orbit_code': 121597189972562424, 'n': 22, 'trace_an': 0}
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id: 67568135
{'hecke_orbit_code': 121597189972562424, 'n': 23, 'trace_an': -4}
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id: 67568136
{'hecke_orbit_code': 121597189972562424, 'n': 24, 'trace_an': 0}
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id: 67568137
{'hecke_orbit_code': 121597189972562424, 'n': 25, 'trace_an': 0}
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id: 67568138
{'hecke_orbit_code': 121597189972562424, 'n': 26, 'trace_an': 0}
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id: 67568139
{'hecke_orbit_code': 121597189972562424, 'n': 27, 'trace_an': -27}
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id: 67568140
{'hecke_orbit_code': 121597189972562424, 'n': 28, 'trace_an': 0}
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