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{'Nk2': 11552, 'analytic_conductor': 23.060796103745776, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [19, 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': [2888, 1, [2167, 1445, 2529], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 8, 'field_disc': 10564000000, 'field_disc_factorization': [[2, 8], [5, 6], [19, 1], [139, 1]], 'field_poly': [1, 16, -21, -28, 24, 14, -9, -2, 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, [-4, -4, 30, 14, -41, -26, 5, 6, 1]], [5, [16, -16, -116, 68, 89, -24, -19, 2, 1]]], 'hecke_orbit': 22, 'hecke_orbit_code': 94575592208337736, 'hecke_ring_generator_nbound': 5, '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': '2888.2.a.v', 'level': 2888, 'level_is_powerful': True, '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, 19], 'level_radical': 38, 'minimal_twist': '2888.2.a.v', 'nf_label': '8.8.10564000000.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta _{1})q^{3}+(-1+\\beta _{3}+\\beta _{4}-\\beta _{5}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2888.2.a', 'trace_display': [0, -6, -2, -2], 'trace_hash': 1653214347876782820, 'trace_moments': 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'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [18, 25, 22, 20], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [19, 20, 20, 20], 'ALdims_old': [63, 64, 68, 61], 'Nk2': 11552, 'analytic_conductor': 23.060796103745776, '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': [2888, 1, [2167, 1445, 2529], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 341, 'dim': 85, 'eis_dim': 79, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5], 'hecke_orbit_code': 33557320, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 6, 6, 8, 8, 9, 9], 'label': '2888.2.a', 'level': 2888, 'level_is_powerful': True, '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, 19], 'level_radical': 38, 'mf_dim': 420, 'mf_new_dim': 85, 'num_forms': 25, 'plus_dim': 38, 'prim_orbit_index': 1, 'relative_dim': 85, 'sturm_bound': 760, 'trace_bound': 15, 'trace_display': [0, 0, 0, -4], 'traces': [85, 0, 0, 0, 0, 0, -4, 0, 79, 0, 6, 0, -2, 0, 8, 0, -2, 0, 0, 0, 0, 0, 0, 0, 93, 0, 0, 0, 10, 0, -12, 0, 4, 0, 0, 0, 14, 0, 16, 0, -6, 0, -2, 0, 28, 0, 24, 0, 81, 0, 4, 0, -2, 0, -28, 0, 0, 0, 8, 0, -8, 0, -32, 0, -16, 0, -28, 0, 44, 0, 8, 0, 6, 0, -36, 0, -4, 0, -12, 0, 53, 0, -14, 0, -12, 0, 16, 0, -6, 0, -32, 0, 16, 0, 0, 0, -22, 0, 58, 0, 4, 0, 12, 0, 40, 0, -24, 0, -18, 0, -20, 0, 14, 0, 20, 0, -14, 0, 48, 0, 107, 0, -16, 0, -12, 0, 0, 0, 40, 0, 26, 0, 0, 0, 76, 0, -54, 0, 14, 0, -20, 0, -16, 0, 36, 0, 52, 0, 28, 0, -20, 0, -10, 0, 8, 0, -36, 0, -40, 0, -60, 0, 10, 0, -52, 0, 36, 0, 113, 0, 0, 0, -34, 0, -4, 0, -4, 0, 32, 0, 38, 0, -56, 0, -8, 0, -12, 0, 36, 0, -8, 0, 14, 0, 12, 0, -4, 0, 56, 0, -32, 0, -4, 0, 24, 0, -68, 0, 0, 0, 16, 0, -60, 0, -56, 0, 12, 0, -92, 0, 32, 0, 4, 0, 111, 0, -20, 0, -20, 0, 28, 0, -50, 0, -72, 0, -60, 0, 32, 0, 18, 0, -80, 0, 4, 0, 0, 0, 0, 0, 46, 0, -4, 0, -24, 0, 42, 0, -28, 0, -34, 0, -64, 0, 64, 0, 88, 0, -14, 0, -12, 0, 100, 0, 22, 0, -36, 0, 0, 0, -30, 0, 6, 0, 0, 0, 52, 0, 119, 0, 20, 0, 22, 0, 32, 0, 96, 0, -32, 0, -20, 0, -112, 0, -12, 0, -12, 0, -4, 0, 12, 0, 14, 0, -8, 0, 34, 0, 28, 0, 24, 0, 0, 0, 10, 0, 20, 0, 48, 0, 52, 0, 38, 0, -36, 0, -14, 0, 88, 0, 16, 0, -8, 0, 4, 0, 10, 0, 44, 0, 120, 0, -18, 0, 60, 0, -40, 0, -44, 0, 0, 0, -68, 0, -182, 0, -36, 0, -54, 0, -104, 0, 22, 0, -12, 0, -162, 0, 16, 0, -68, 0, 32, 0, 4, 0, -50, 0, -28, 0, 68, 0, -64, 0, 8, 0, -170, 0, 0, 0, -50, 0, 36, 0, 76, 0, -44, 0, -14, 0, -68, 0, 80, 0, -52, 0, 32, 0, 42, 0, -18, 0, 84, 0, -216, 0, -52, 0, -4, 0, -68, 0, 42, 0, 48, 0, 0, 0, 76, 0, 43, 0, -38, 0, -68, 0, 84, 0, -42, 0, 68, 0, 12, 0, -4, 0, -42, 0, -56, 0, -202, 0, -12, 0, -20, 0, -50, 0, -28, 0, 36, 0, -4, 0, 0, 0, -102, 0, -4, 0, -40, 0, 112, 0, 60, 0, -20, 0, -68, 0, 42, 0, 12, 0, -112, 0, -32, 0, 2, 0, 4, 0, 36, 0, -178, 0, 104, 0, 74, 0, -48, 0, 0, 0, -116, 0, -56, 0, 56, 0, 38, 0, -80, 0, -36, 0, -20, 0, 61, 0, 80, 0, 72, 0, 0, 0, 68, 0, -22, 0, 16, 0, 96, 0, 64, 0, -44, 0, 68, 0, 0, 0, 4, 0, 28, 0, -138, 0, -100, 0, -12, 0, 32, 0, -40, 0, -116, 0, -74, 0, 70, 0, 80, 0, 96, 0, 26, 0, -84, 0, 60, 0, 32, 0, -52, 0, 70, 0, 0, 0, 88, 0, -10, 0, 32, 0, 40, 0, 40, 0, 22, 0, 28, 0, 92, 0, -36, 0, -12, 0, -16, 0, 8, 0, 84, 0, -160, 0, -58, 0, 100, 0, 12, 0, 77, 0, 0, 0, 64, 0, -52, 0, 4, 0, 52, 0, -54, 0, 12, 0, 30, 0, 66, 0, -12, 0, -116, 0, 12, 0, -44, 0, 56, 0, 24, 0, 46, 0, -64, 0, -26, 0, -64, 0, 0, 0, -80, 0, 136, 0, -52, 0, -54, 0, -104, 0, 42, 0, -4, 0, -36, 0, 76, 0, -142, 0, 112, 0, -24, 0, -18, 0, 112, 0, -68, 0, -96, 0, -132, 0, -100, 0, 0, 0, -68, 0, 28, 0, -44, 0, -120, 0, 4, 0, 32, 0, -64, 0, -60, 0, 28, 0, -318, 0, 42, 0, -56, 0, 7, 0, -378, 0, -8, 0, -8, 0, -32, 0, 10, 0, 0, 0, 76, 0, -40, 0, -208, 0, -24, 0, 136, 0, -96, 0, -100, 0, -60, 0, -80, 0, -116, 0, -56, 0, 48, 0, 136, 0, 50, 0, -426, 0, 50, 0, 52, 0, 24, 0, 0, 0, 4, 0, -96, 0, 24, 0, 12, 0, -108, 0, 16, 0, -8, 0, 140, 0, -26, 0, -60, 0, -34, 0, -394, 0, -120, 0, 52, 0, -18, 0, 36, 0, 44, 0, 8, 0, 0, 0, -136, 0, 4, 0, 16, 0, 120, 0, -36, 0, -66, 0, -40, 0, 26, 0, 52, 0, -36, 0, 8, 0, 149, 0, -386, 0, -218, 0, -4, 0, 44, 0, -8, 0, 60, 0, 0, 0, 138, 0, -10, 0, -132, 0, 16, 0, -48, 0, 28, 0, 72, 0, -4, 0, -18, 0, 52, 0, -126, 0, -24, 0, -90, 0, -114, 0, -100, 0, -136, 0, -16, 0, -196, 0, 0, 0, 28, 0, 100, 0, -8, 0, 136, 0, 272, 0, -72, 0, 76, 0, -100, 0, 88, 0, -60, 0, 20, 0, -44, 0, -64, 0, 32, 0, 8, 0, -18, 0, 228, 0, -126, 0, 0, 0, 112, 0, -36, 0, -140, 0, 112, 0, 18, 0, 88, 0, 84, 0, -320, 0, -24, 0, -56, 0, 38, 0, -132, 0, -20, 0, 76, 0, 181, 0, 24, 0, -108, 0, -8, 0, 0, 0, -140, 0, 104, 0, -36, 0, 18, 0, -8, 0, -118, 0, -124, 0, -12, 0, 44, 0, -12, 0, 16, 0, 116, 0, 44, 0, 52, 0, 76, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48373331
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 94575592208337736, 'source_is_minimal': True, 'source_label': '2888.2.a.v.1.5', 'source_level': 2888, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 94575592208337736, 'target_is_minimal': True, 'target_label': '2888.2.a.v.1.5', 'target_level': 2888, 'twist_class_label': '2888.2.a.v.1.5', 'twist_class_level': 2888, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48373332
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 94575592208337736, 'source_is_minimal': True, 'source_label': '2888.2.a.v.1.5', 'source_level': 2888, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 243194379911566992, 'target_is_minimal': False, 'target_label': '5776.2.a.cc.1.4', 'target_level': 5776, 'twist_class_label': '2888.2.a.v.1.5', 'twist_class_level': 2888, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48373333
{'conductor': 19, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 94575592208337736, 'source_is_minimal': True, 'source_label': '2888.2.a.v.1.5', 'source_level': 2888, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 99079191835708232, 'target_is_minimal': True, 'target_label': '2888.2.a.w.1.4', 'target_level': 2888, 'twist_class_label': '2888.2.a.v.1.5', 'twist_class_level': 2888, 'twisting_char_label': '19.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 48373334
{'conductor': 76, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 94575592208337736, 'source_is_minimal': True, 'source_label': '2888.2.a.v.1.5', 'source_level': 2888, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 234187180656826000, 'target_is_minimal': False, 'target_label': '5776.2.a.ca.1.5', 'target_level': 5776, 'twist_class_label': '2888.2.a.v.1.5', 'twist_class_level': 2888, 'twisting_char_label': '76.75', 'twisting_conrey_index': 75, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2901200
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 94575592208337736, 'p': 2}
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id: 2901201
{'charpoly_factorization': [[[-4, -4, 30, 14, -41, -26, 5, 6, 1], 1]], 'hecke_orbit_code': 94575592208337736, 'p': 3}
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id: 2901202
{'charpoly_factorization': [[[16, -16, -116, 68, 89, -24, -19, 2, 1], 1]], 'hecke_orbit_code': 94575592208337736, 'p': 5}
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id: 2901203
{'charpoly_factorization': [[[76, -268, -102, 574, 225, -76, -32, 2, 1], 1]], 'hecke_orbit_code': 94575592208337736, 'p': 7}
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id: 2901204
{'charpoly_factorization': [[[-1604, 996, 3234, -918, -621, 204, 21, -12, 1], 1]], 'hecke_orbit_code': 94575592208337736, 'p': 11}
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id: 2901205
{'charpoly_factorization': [[[-239, -284, 475, 694, 64, -136, -25, 6, 1], 1]], 'hecke_orbit_code': 94575592208337736, 'p': 13}
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id: 2901206
{'charpoly_factorization': [[[20736, 51840, 37728, 8280, -1171, -630, -33, 10, 1], 1]], 'hecke_orbit_code': 94575592208337736, 'p': 17}
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id: 2901207
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 94575592208337736, 'p': 19}
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id: 2901208
{'charpoly_factorization': [[[-4724, 9228, 20330, 8298, -661, -708, -35, 12, 1], 1]], 'hecke_orbit_code': 94575592208337736, 'p': 23}
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id: 2901209
{'charpoly_factorization': [[[-138119, -78248, 65940, 13762, -4891, -1162, 20, 18, 1], 1]], 'hecke_orbit_code': 94575592208337736, 'p': 29}
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id: 2901210
{'charpoly_factorization': [[[-285444, 266652, 317106, 74646, -2341, -2202, -111, 14, 1], 1]], 'hecke_orbit_code': 94575592208337736, 'p': 31}
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id: 2901211
{'charpoly_factorization': [[[-121999, -32642, 37996, 12274, -2091, -858, 4, 16, 1], 1]], 'hecke_orbit_code': 94575592208337736, 'p': 37}
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id: 2901212
{'charpoly_factorization': [[[-1573619, -471488, 197773, 79884, 1360, -1896, -127, 12, 1], 1]], 'hecke_orbit_code': 94575592208337736, 'p': 41}
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id: 2901213
{'charpoly_factorization': [[[8396, 164588, -11730, -21502, 1999, 832, -95, -8, 1], 1]], 'hecke_orbit_code': 94575592208337736, 'p': 43}
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id: 2901214
{'charpoly_factorization': [[[-59204, -820344, 360300, -6096, -15411, 1824, 90, -24, 1], 1]], 'hecke_orbit_code': 94575592208337736, 'p': 47}
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id: 2901215
{'charpoly_factorization': [[[-155439, -27702, 82260, 32778, -11, -1338, -100, 12, 1], 1]], 'hecke_orbit_code': 94575592208337736, 'p': 53}
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id: 2901216
{'charpoly_factorization': [[[-675044, 1043072, 252056, -108684, -3811, 2928, -121, -16, 1], 1]], 'hecke_orbit_code': 94575592208337736, 'p': 59}
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id: 2901217
{'charpoly_factorization': [[[72041, -1850, -266857, -10600, 18264, 90, -273, 0, 1], 1]], 'hecke_orbit_code': 94575592208337736, 'p': 61}
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id: 2901218
{'charpoly_factorization': [[[-39124, -372852, -444310, -157902, -13771, 2592, 600, 42, 1], 1]], 'hecke_orbit_code': 94575592208337736, 'p': 67}
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id: 2901219
{'charpoly_factorization': [[[-3765204, 646704, 682452, -48468, -35575, -1872, 322, 36, 1], 1]], 'hecke_orbit_code': 94575592208337736, 'p': 71}
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id: 2901220
{'charpoly_factorization': [[[841525, -3053850, -881575, 180250, 34280, -2610, -335, 10, 1], 1]], 'hecke_orbit_code': 94575592208337736, 'p': 73}
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id: 2901221
{'charpoly_factorization': [[[11324416, -2766336, -1430848, 97152, 37340, -1332, -338, 6, 1], 1]], 'hecke_orbit_code': 94575592208337736, 'p': 79}
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id: 2901222
{'charpoly_factorization': [[[-64, -1088, -5360, -6608, 5324, 968, -120, -12, 1], 1]], 'hecke_orbit_code': 94575592208337736, 'p': 83}
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id: 2901223
{'charpoly_factorization': [[[12007301, -1381764, -1300571, 122792, 32624, -1996, -319, 8, 1], 1]], 'hecke_orbit_code': 94575592208337736, 'p': 89}
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id: 2901224
{'charpoly_factorization': [[[-5120839, -1544684, 1088794, 138952, -38601, -5976, -14, 28, 1], 1]], 'hecke_orbit_code': 94575592208337736, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 22, 'label': '2888.2.a.v', 'level': 2888, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 64830991
{'hecke_orbit_code': 94575592208337736, 'n': 1, 'trace_an': 8}
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id: 64830992
{'hecke_orbit_code': 94575592208337736, 'n': 2, 'trace_an': 0}
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id: 64830993
{'hecke_orbit_code': 94575592208337736, 'n': 3, 'trace_an': -6}
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id: 64830994
{'hecke_orbit_code': 94575592208337736, 'n': 4, 'trace_an': 0}
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id: 64830995
{'hecke_orbit_code': 94575592208337736, 'n': 5, 'trace_an': -2}
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id: 64830996
{'hecke_orbit_code': 94575592208337736, 'n': 6, 'trace_an': 0}
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id: 64830997
{'hecke_orbit_code': 94575592208337736, 'n': 7, 'trace_an': -2}
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id: 64830998
{'hecke_orbit_code': 94575592208337736, 'n': 8, 'trace_an': 0}
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id: 64830999
{'hecke_orbit_code': 94575592208337736, 'n': 9, 'trace_an': 2}
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id: 64831000
{'hecke_orbit_code': 94575592208337736, 'n': 10, 'trace_an': 0}
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id: 64831001
{'hecke_orbit_code': 94575592208337736, 'n': 11, 'trace_an': 12}
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id: 64831002
{'hecke_orbit_code': 94575592208337736, 'n': 12, 'trace_an': 0}
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id: 64831003
{'hecke_orbit_code': 94575592208337736, 'n': 13, 'trace_an': -6}
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id: 64831004
{'hecke_orbit_code': 94575592208337736, 'n': 14, 'trace_an': 0}
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id: 64831005
{'hecke_orbit_code': 94575592208337736, 'n': 15, 'trace_an': 0}
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id: 64831006
{'hecke_orbit_code': 94575592208337736, 'n': 16, 'trace_an': 0}
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id: 64831007
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