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{'Nk2': 10304, 'analytic_conductor': 20.569463560681825, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [7, 1], [23, 1]], 'atkin_lehner_string': '-++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [2576, 1, [2255, 645, 1473, 1569], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 5, 'field_disc': 8580816, 'field_disc_factorization': [[2, 4], [3, 5], [2207, 1]], 'field_poly': [6, 20, 10, -12, -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, [-6, 20, -10, -12, 1, 1]], [5, [-36, -38, 62, -12, -4, 1]], [11, [72, 84, -12, -24, 2, 1]], [13, [-16, 144, 64, -28, -3, 1]]], 'hecke_orbit': 29, 'hecke_orbit_code': 126100789599930896, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '2576.2.a.bc', 'level': 2576, '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, 7, 23], 'level_radical': 322, 'minimal_twist': '644.2.a.c', 'nf_label': '5.5.8580816.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{3}+(1+\\beta _{4})q^{5}-q^{7}+(2+\\beta _{2}+\\cdots)q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2576.2.a', 'trace_display': [0, -1, 4, -5], 'trace_hash': 1299559654785367599, 'trace_moments': [{'__RealLiteral__': 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mf_newspaces • Show schema
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{'ALdims': [6, 10, 10, 6, 9, 8, 5, 12], 'Nk2': 10304, 'analytic_conductor': 20.569463560681825, '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': [2576, 1, [2255, 645, 1473, 1569], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 373, 'dim': 66, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 11, 13], 'hecke_orbit_code': 33557008, '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, 4, 4, 5, 5, 5, 5], 'label': '2576.2.a', 'level': 2576, '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, 7, 23], 'level_radical': 322, 'mf_dim': 396, 'mf_new_dim': 66, 'num_forms': 31, 'plus_dim': 25, 'prim_orbit_index': 1, 'relative_dim': 66, 'sturm_bound': 768, 'trace_bound': 9, 'trace_display': [0, 0, 4, 0], 'traces': [66, 0, 0, 0, 4, 0, 0, 0, 74, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 6, 0, 62, 0, 12, 0, 4, 0, 0, 0, 0, 0, -12, 0, 20, 0, 4, 0, -12, 0, 32, 0, 20, 0, 0, 0, 66, 0, -24, 0, 4, 0, 32, 0, 0, 0, 12, 0, 20, 0, 0, 0, -24, 0, 0, 0, 0, 0, 4, 0, 4, 0, 88, 0, 0, 0, 0, 0, 82, 0, 0, 0, 24, 0, 68, 0, -12, 0, 0, 0, -24, 0, 32, 0, 20, 0, 40, 0, -4, 0, 32, 0, 0, 0, 56, 0, 20, 0, 64, 0, -28, 0, 0, 0, 44, 0, 20, 0, 90, 0, 28, 0, 72, 0, -28, 0, -32, 0, 104, 0, 0, 0, 72, 0, -44, 0, -16, 0, 24, 0, 40, 0, -40, 0, 0, 0, 20, 0, 28, 0, -44, 0, 96, 0, -44, 0, 16, 0, 0, 0, 28, 0, -16, 0, 44, 0, 46, 0, 56, 0, -20, 0, 0, 0, -32, 0, -108, 0, -44, 0, -48, 0, -8, 0, 8, 0, 0, 0, 40, 0, 20, 0, -56, 0, 52, 0, -24, 0, 48, 0, 0, 0, -40, 0, 18, 0, 32, 0, 0, 0, -24, 0, -80, 0, 0, 0, 4, 0, 24, 0, -108, 0, 102, 0, -56, 0, 4, 0, 0, 0, 20, 0, -16, 0, -16, 0, 124, 0, 36, 0, 36, 0, 4, 0, -24, 0, 16, 0, 56, 0, 0, 0, 24, 0, -44, 0, -24, 0, -4, 0, -32, 0, -56, 0, 56, 0, 20, 0, 76, 0, 0, 0, 0, 0, -60, 0, -108, 0, 36, 0, -96, 0, -64, 0, 0, 0, 38, 0, 40, 0, -108, 0, 88, 0, -32, 0, 0, 0, 0, 0, 160, 0, -24, 0, 92, 0, -80, 0, -72, 0, 4, 0, 4, 0, 12, 0, -136, 0, 80, 0, -176, 0, 44, 0, -40, 0, 16, 0, -60, 0, -12, 0, -72, 0, -44, 0, 104, 0, 80, 0, 0, 0, 0, 0, -64, 0, 100, 0, -28, 0, -28, 0, 56, 0, 32, 0, -192, 0, 138, 0, -184, 0, -72, 0, 136, 0, -28, 0, -48, 0, 100, 0, -128, 0, -104, 0, -120, 0, -184, 0, 40, 0, 0, 0, -64, 0, -44, 0, 0, 0, -16, 0, -16, 0, 52, 0, 32, 0, 20, 0, 108, 0, -124, 0, -96, 0, -28, 0, 8, 0, 0, 0, 64, 0, -80, 0, 72, 0, 100, 0, 44, 0, -36, 0, 36, 0, -64, 0, -16, 0, 36, 0, -56, 0, 0, 0, -16, 0, 74, 0, 84, 0, 40, 0, -208, 0, -44, 0, 248, 0, -104, 0, -8, 0, -12, 0, -112, 0, -76, 0, 104, 0, -48, 0, -160, 0, 32, 0, 168, 0, -32, 0, -112, 0, 20, 0, 16, 0, -40, 0, -12, 0, -24, 0, 28, 0, -80, 0, -116, 0, 152, 0, 96, 0, 0, 0, 140, 0, -176, 0, -184, 0, -24, 0, -196, 0, -108, 0, -72, 0, -144, 0, -208, 0, -144, 0, -96, 0, -108, 0, 184, 0, -80, 0, -216, 0, 66, 0, -108, 0, 0, 0, 0, 0, -112, 0, 0, 0, 100, 0, -272, 0, -88, 0, 20, 0, -60, 0, 24, 0, 0, 0, 64, 0, -92, 0, 64, 0, -96, 0, 8, 0, 168, 0, -96, 0, -60, 0, -192, 0, -48, 0, 42, 0, -92, 0, -212, 0, 16, 0, 32, 0, -216, 0, -72, 0, 16, 0, -228, 0, -124, 0, 64, 0, -80, 0, 136, 0, -44, 0, 248, 0, -188, 0, 172, 0, -48, 0, -84, 0, 36, 0, -152, 0, 20, 0, 16, 0, -24, 0, 20, 0, -134, 0, -240, 0, -136, 0, 8, 0, -272, 0, 40, 0, 4, 0, 184, 0, 52, 0, 0, 0, -16, 0, -312, 0, -48, 0, 80, 0, -12, 0, 64, 0, -124, 0, -96, 0, 116, 0, 256, 0, 32, 0, -24, 0, 0, 0, -24, 0, -28, 0, 140, 0, -28, 0, 12, 0, -48, 0, 60, 0, 72, 0, -248, 0, 40, 0, -132, 0, 32, 0, -128, 0, -24, 0, -172, 0, 20, 0, 144, 0, -32, 0, 0, 0, 180, 0, -328, 0, 16, 0, 176, 0, 8, 0, -76, 0, 16, 0, 176, 0, -116, 0, -24, 0, 170, 0, -88, 0, 52, 0, 0, 0, -48, 0, 140, 0, -16, 0, 88, 0, -152, 0, -400, 0, 32, 0, -88, 0, 48, 0, -552, 0, 100, 0, 0, 0, 100, 0, -24, 0, 40, 0, -40, 0, 180, 0, -84, 0, -28, 0, -120, 0, 0, 0, 72, 0, 96, 0, 260, 0, -56, 0, -80, 0, 176, 0, 64, 0, -24, 0, 224, 0, 84, 0, -200, 0, -140, 0, -24, 0, 0, 0, -132, 0, -44, 0, -72, 0, 32, 0, -184, 0, 32, 0, 64, 0, -100, 0, 84, 0, 48, 0, 64, 0, -68, 0, 44, 0, 4, 0, 104, 0, -40, 0, -152, 0, 174, 0, 136, 0, 156, 0, 0, 0, -96, 0, -60, 0, 92, 0, 224, 0, -12, 0, 72, 0, 32, 0, 44, 0, 24, 0, -16, 0, 64, 0, 88, 0, -60, 0, 0, 0, -20, 0, 40, 0, -76, 0, -176, 0, 0, 0, -184, 0, 32, 0, 16, 0, -64, 0, -24, 0, -48, 0, 92, 0, 184, 0, 72, 0, 56, 0, 120, 0, -132, 0, -48, 0, -16, 0, -288, 0, -80, 0, 328, 0, -64, 0, 116, 0, 124, 0, 176, 0, 84, 0, 0, 0, 72, 0, -176, 0, -12, 0, -184, 0, 148, 0, 0, 0, 0, 0, -180, 0, 16, 0, -224, 0, -92, 0, 96, 0, -16, 0, 24, 0, 130, 0, 416, 0, -264, 0, 12, 0, 192, 0, 104, 0, -80, 0, 12, 0, 132, 0, 192, 0, -44, 0, 16, 0, -72, 0, 128, 0, 0, 0, 128, 0, 80, 0, -64, 0, -20, 0, -40, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48666764
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 126100789599930896, 'source_is_minimal': False, 'source_label': '2576.2.a.bc.1.5', 'source_level': 2576, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 126100789599930896, 'target_is_minimal': False, 'target_label': '2576.2.a.bc.1.5', 'target_level': 2576, 'twist_class_label': '644.2.a.c.1.1', 'twist_class_level': 644, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48666765
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 126100789599930896, 'source_is_minimal': False, 'source_label': '2576.2.a.bc.1.5', 'source_level': 2576, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288296068, 'target_is_minimal': True, 'target_label': '644.2.a.c.1.1', 'target_level': 644, 'twist_class_label': '644.2.a.c.1.1', 'twist_class_level': 644, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48666766
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 126100789599930896, 'source_is_minimal': False, 'source_label': '2576.2.a.bc.1.5', 'source_level': 2576, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81064793326229156, 'target_is_minimal': False, 'target_label': '5796.2.a.s.1.1', 'target_level': 5796, 'twist_class_label': '644.2.a.c.1.1', 'twist_class_level': 644, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48666767
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 126100789599930896, 'source_is_minimal': False, 'source_label': '2576.2.a.bc.1.5', 'source_level': 2576, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 27021597797781916, 'target_is_minimal': False, 'target_label': '4508.2.a.g.1.5', 'target_level': 4508, 'twist_class_label': '644.2.a.c.1.1', 'twist_class_level': 644, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2737200
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 126100789599930896, 'p': 2}
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id: 2737201
{'charpoly_factorization': [[[-6, 20, -10, -12, 1, 1], 1]], 'hecke_orbit_code': 126100789599930896, 'p': 3}
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id: 2737202
{'charpoly_factorization': [[[-36, -38, 62, -12, -4, 1], 1]], 'hecke_orbit_code': 126100789599930896, 'p': 5}
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id: 2737203
{'charpoly_factorization': [[[1, 1], 5]], 'hecke_orbit_code': 126100789599930896, 'p': 7}
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id: 2737204
{'charpoly_factorization': [[[72, 84, -12, -24, 2, 1], 1]], 'hecke_orbit_code': 126100789599930896, 'p': 11}
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id: 2737205
{'charpoly_factorization': [[[-16, 144, 64, -28, -3, 1], 1]], 'hecke_orbit_code': 126100789599930896, 'p': 13}
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id: 2737206
{'charpoly_factorization': [[[96, 238, 74, -36, -4, 1], 1]], 'hecke_orbit_code': 126100789599930896, 'p': 17}
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id: 2737207
{'charpoly_factorization': [[[3968, 1728, -416, -88, 6, 1], 1]], 'hecke_orbit_code': 126100789599930896, 'p': 19}
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id: 2737208
{'charpoly_factorization': [[[1, 1], 5]], 'hecke_orbit_code': 126100789599930896, 'p': 23}
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id: 2737209
{'charpoly_factorization': [[[516, 1000, 256, -72, -5, 1], 1]], 'hecke_orbit_code': 126100789599930896, 'p': 29}
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id: 2737210
{'charpoly_factorization': [[[738, 716, -2, -54, -1, 1], 1]], 'hecke_orbit_code': 126100789599930896, 'p': 31}
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id: 2737211
{'charpoly_factorization': [[[9824, -4976, 464, 112, -22, 1], 1]], 'hecke_orbit_code': 126100789599930896, 'p': 37}
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id: 2737212
{'charpoly_factorization': [[[432, -960, 368, 12, -15, 1], 1]], 'hecke_orbit_code': 126100789599930896, 'p': 41}
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id: 2737213
{'charpoly_factorization': [[[-9216, -7344, -1728, -88, 12, 1], 1]], 'hecke_orbit_code': 126100789599930896, 'p': 43}
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id: 2737214
{'charpoly_factorization': [[[20898, -10476, 1386, 54, -21, 1], 1]], 'hecke_orbit_code': 126100789599930896, 'p': 47}
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id: 2737215
{'charpoly_factorization': [[[-27936, 13200, 528, -264, -2, 1], 1]], 'hecke_orbit_code': 126100789599930896, 'p': 53}
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id: 2737216
{'charpoly_factorization': [[[432, 594, -174, -144, 0, 1], 1]], 'hecke_orbit_code': 126100789599930896, 'p': 59}
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id: 2737217
{'charpoly_factorization': [[[108, 378, -234, -16, 12, 1], 1]], 'hecke_orbit_code': 126100789599930896, 'p': 61}
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id: 2737218
{'charpoly_factorization': [[[10216, -5564, -1484, 40, 22, 1], 1]], 'hecke_orbit_code': 126100789599930896, 'p': 67}
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id: 2737219
{'charpoly_factorization': [[[1152, -1728, 496, 12, -15, 1], 1]], 'hecke_orbit_code': 126100789599930896, 'p': 71}
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id: 2737220
{'charpoly_factorization': [[[3504, -5408, 1960, -72, -17, 1], 1]], 'hecke_orbit_code': 126100789599930896, 'p': 73}
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id: 2737221
{'charpoly_factorization': [[[6984, 2244, -1092, -240, 2, 1], 1]], 'hecke_orbit_code': 126100789599930896, 'p': 79}
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id: 2737222
{'charpoly_factorization': [[[-66432, -4960, 3760, -192, -16, 1], 1]], 'hecke_orbit_code': 126100789599930896, 'p': 83}
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id: 2737223
{'charpoly_factorization': [[[52488, -3186, -2394, 0, 24, 1], 1]], 'hecke_orbit_code': 126100789599930896, 'p': 89}
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id: 2737224
{'charpoly_factorization': [[[173424, -40922, 1198, 396, -38, 1], 1]], 'hecke_orbit_code': 126100789599930896, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 29, 'label': '2576.2.a.bc', 'level': 2576, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 263008000
{'hecke_orbit_code': 126100789599930896, 'n': 1, 'trace_an': 5}
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id: 263008001
{'hecke_orbit_code': 126100789599930896, 'n': 2, 'trace_an': 0}
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id: 263008002
{'hecke_orbit_code': 126100789599930896, 'n': 3, 'trace_an': -1}
-
id: 263008003
{'hecke_orbit_code': 126100789599930896, 'n': 4, 'trace_an': 0}
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id: 263008004
{'hecke_orbit_code': 126100789599930896, 'n': 5, 'trace_an': 4}
-
id: 263008005
{'hecke_orbit_code': 126100789599930896, 'n': 6, 'trace_an': 0}
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id: 263008006
{'hecke_orbit_code': 126100789599930896, 'n': 7, 'trace_an': -5}
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id: 263008007
{'hecke_orbit_code': 126100789599930896, 'n': 8, 'trace_an': 0}
-
id: 263008008
{'hecke_orbit_code': 126100789599930896, 'n': 9, 'trace_an': 10}
-
id: 263008009
{'hecke_orbit_code': 126100789599930896, 'n': 10, 'trace_an': 0}
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id: 263008010
{'hecke_orbit_code': 126100789599930896, 'n': 11, 'trace_an': -2}
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id: 263008011
{'hecke_orbit_code': 126100789599930896, 'n': 12, 'trace_an': 0}
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id: 263008012
{'hecke_orbit_code': 126100789599930896, 'n': 13, 'trace_an': 3}
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id: 263008013
{'hecke_orbit_code': 126100789599930896, 'n': 14, 'trace_an': 0}
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id: 263008014
{'hecke_orbit_code': 126100789599930896, 'n': 15, 'trace_an': 6}
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id: 263008015
{'hecke_orbit_code': 126100789599930896, 'n': 16, 'trace_an': 0}
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id: 263008016
{'hecke_orbit_code': 126100789599930896, 'n': 17, 'trace_an': 4}
-
id: 263008017
{'hecke_orbit_code': 126100789599930896, 'n': 18, 'trace_an': 0}
-
id: 263008018
{'hecke_orbit_code': 126100789599930896, 'n': 19, 'trace_an': -6}
-
id: 263008019
{'hecke_orbit_code': 126100789599930896, 'n': 20, 'trace_an': 0}
-
id: 263008020
{'hecke_orbit_code': 126100789599930896, 'n': 21, 'trace_an': 1}
-
id: 263008021
{'hecke_orbit_code': 126100789599930896, 'n': 22, 'trace_an': 0}
-
id: 263008022
{'hecke_orbit_code': 126100789599930896, 'n': 23, 'trace_an': -5}
-
id: 263008023
{'hecke_orbit_code': 126100789599930896, 'n': 24, 'trace_an': 0}
-
id: 263008024
{'hecke_orbit_code': 126100789599930896, 'n': 25, 'trace_an': 15}
-
id: 263008025
{'hecke_orbit_code': 126100789599930896, 'n': 26, 'trace_an': 0}
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id: 263008026
{'hecke_orbit_code': 126100789599930896, 'n': 27, 'trace_an': -1}
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