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mf_newforms • Show schema
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{'Nk2': 8280, 'analytic_conductor': 16.52903321840504, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [2070, 2, [461, 1657, 1891], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 829, 'dim': 16, 'field_disc': 5288174463006561003372544, 'field_disc_factorization': [[2, 22], [7, 4], [4787, 4]], 'field_poly': [6561, 0, 729, 0, 810, 0, 495, 0, 58, 0, 55, 0, 10, 0, 1, 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': [[7, [4096, 0, 3776, 0, 816, 0, 52, 0, 1]], [11, [61504, 0, -19440, 0, 1936, 0, -76, 0, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525403583580182, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 32768, 'hecke_ring_index_factorization': [[2, 15]], 'hecke_ring_index_proved': True, 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mf_hecke_cc • Show schema
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-0.432340744584968, -0.28784810703197244], 'char_orbit_index': 4, 'conrey_index': 829, 'dual_conrey_index': 829, 'dual_embedding_index': 7, 'dual_embedding_m': 7, 'embedding_index': 15, 'embedding_m': 15, 'embedding_root_imag': 1.7292274269702734, 'embedding_root_real': 0.09885598521975242, 'hecke_orbit': 8, 'hecke_orbit_code': 31525403583580182, 'label': '2070.2.d.h.829.15', 'level': 2070, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 8280, 'analytic_conductor': 16.52903321840504, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [2070, 2, [461, 1657, 1891], [2, 1, 2]], 'conrey_index': 829, 'cusp_dim': 416, 'dim': 56, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 206191986710, 'hecke_orbit_dims': [4, 4, 4, 6, 6, 8, 8, 16], 'label': '2070.2.d', 'level': 2070, '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, 5, 23], 'level_radical': 690, 'mf_dim': 448, 'mf_new_dim': 56, 'num_forms': 8, 'prim_orbit_index': 2, 'relative_dim': 56, 'sturm_bound': 864, 'trace_bound': 14, 'trace_display': [0, 0, 0, 0], 'traces': [56, 0, 0, -56, 0, 0, 0, 0, 0, 4, 8, 0, 0, 0, 0, 56, 0, 0, -16, 0, 0, 0, 0, 0, -4, -20, 0, 0, 16, 0, 4, 0, 0, 8, -8, 0, 0, 0, 0, -4, -4, 0, 0, -8, 0, 4, 0, 0, -68, 20, 0, 0, 0, 0, 24, 0, 0, 0, -32, 0, -24, 0, 0, -56, 0, 0, 0, 0, 0, 4, 12, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 32, 0, 32, 0, 0, 8, -8, 0, 0, 0, 0, 4, -56, 0, 0, 20, 0, 16, 0, 0, -24, 28, 0, 0, 0, 0, 0, -16, 0, 0, -80, 0, 76, 0, 0, -4, -24, 0, 0, 0, 0, 0, 16, 0, 0, 16, 0, -8, 0, 0, -136, 8, 0, 0, 0, 0, 64, 16, 0, 0, 32, 0, -28, 0, 0, -88, 24, 0, 0, 0, 0, 4, -20, 0, 0, 4, 0, 16, 0, 0, -36, 52, 0, 0, 0, 0, 128, 8, 0, 0, 8, 0, -56, 0, 0, -4, -12, 0, 0, 0, 0, 20, 64, 0, 0, -96, 0, 68, 0, 0, 96, -20, 0, 0, 0, 0, 80, 8, 0, 0, -8, 0, -80, 0, 0, -64, -60, 0, 0, 0, 0, -24, 224, 0, 0, 0, 0, 16, 0, 0, -120, 0, 0, 0, 0, 0, 40, 32, 0, 0, -48, 0, 16, 0, 0, 24, 16, 0, 0, 0, 0, 92, 64, 0, 0, 16, 0, 56, 0, 0, -152, 0, 0, 0, 0, 0, 36, -44, 0, 0, 48, 0, 76, 0, 0, 24, -8, 0, 0, 0, 0, -4, -32, 0, 0, -12, 0, 72, 0, 0, -68, -8, 0, 0, 0, 0, -104, 0, 0, 0, 16, 0, 160, 0, 0, -16, -48, 0, 0, 0, 0, -32, 96, 0, 0, -64, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -104, -124, 0, 0, -144, 0, -8, 0, 0, -104, 60, 0, 0, 0, 0, 0, -144, 0, 0, -8, 0, 36, 0, 0, -16, 16, 0, 0, 0, 0, 96, -32, 0, 0, -176, 0, 44, 0, 0, -32, -104, 0, 0, 0, 0, -4, 96, 0, 0, 36, 0, -8, 0, 0, 8, 8, 0, 0, 0, 0, 208, -56, 0, 0, -144, 0, -4, 0, 0, -108, 208, 0, 0, 0, 0, -4, 248, 0, 0, 56, 0, -72, 0, 0, -172, 24, 0, 0, 0, 0, 124, -20, 0, 0, -88, 0, -72, 0, 0, -16, 72, 0, 0, 0, 0, 124, 72, 0, 0, 8, 0, 24, 0, 0, -124, -28, 0, 0, 0, 0, 256, -120, 0, 0, -84, 0, -216, 0, 0, 88, 68, 0, 0, 0, 0, 0, -128, 0, 0, 16, 0, -32, 0, 0, -256, 152, 0, 0, 0, 0, 136, 80, 0, 0, 8, 0, 24, 0, 0, -76, -16, 0, 0, 0, 0, 36, 40, 0, 0, -24, 0, 4, 0, 0, -96, 24, 0, 0, 0, 0, 56, -28, 0, 0, -200, 0, -16, 0, 0, 80, 224, 0, 0, 0, 0, 0, 72, 0, 0, -16, 0, -88, 0, 0, -56, 60, 0, 0, 0, 0, 76, -16, 0, 0, -160, 0, 96, 0, 0, 8, -128, 0, 0, 0, 0, -24, -184, 0, 0, -40, 0, 136, 0, 0, -192, -8, 0, 0, 0, 0, 96, 104, 0, 0, 64, 0, 88, 0, 0, -56, 12, 0, 0, 0, 0, -64, -160, 0, 0, -16, 0, 56, 0, 0, 128, 96, 0, 0, 0, 0, 296, -32, 0, 0, 116, 0, 212, 0, 0, 28, 152, 0, 0, 0, 0, -76, 96, 0, 0, 124, 0, 88, 0, 0, 0, -24, 0, 0, 0, 0, -32, 64, 0, 0, 224, 0, 48, 0, 0, -204, -72, 0, 0, 0, 0, -4, 80, 0, 0, 20, 0, -56, 0, 0, -128, -76, 0, 0, 0, 0, -80, -4, 0, 0, -136, 0, -152, 0, 0, -16, -24, 0, 0, 0, 0, 124, -84, 0, 0, 112, 0, 36, 0, 0, -192, -52, 0, 0, 0, 0, -80, -120, 0, 0, 248, 0, 120, 0, 0, 12, -112, 0, 0, 0, 0, -128, -112, 0, 0, -8, 0, -80, 0, 0, -136, -96, 0, 0, 0, 0, -24, -8, 0, 0, 228, 0, -128, 0, 0, 56, 24, 0, 0, 0, 0, 168, -216, 0, 0, -16, 0, 4, 0, 0, 224, 12, 0, 0, 0, 0, 0, 160, 0, 0, -168, 0, -112, 0, 0, 8, 336, 0, 0, 0, 0, -20, 20, 0, 0, -64, 0, 16, 0, 0, -64, 160, 0, 0, 0, 0, 236, 96, 0, 0, 104, 0, 96, 0, 0, -68, 44, 0, 0, 0, 0, 56, -376, 0, 0, -44, 0, -96, 0, 0, 8, 20, 0, 0, 0, 0, 56, -44, 0, 0, -108, 0, -64, 0, 0, 40, -160, 0, 0, 0, 0, -80, 248, 0, 0, -8, 0, -104, 0, 0, -360, 20, 0, 0, 0, 0, -184, 8, 0, 0, -16, 0, 216, 0, 0, 80, -256, 0, 0, 0, 0, -32, -64, 0, 0, 184, 0, 64, 0, 0, -240, 60, 0, 0, 0, 0, 128, 64, 0, 0, 216, 0, -168, 0, 0, -28, 136, 0, 0, 0, 0, 24, -104, 0, 0, -224, 0, 116, 0, 0, 8, -256, 0, 0, 0, 0, -200, 0, 0, 0, -56, 0, -24, 0, 0, -16, -160, 0, 0, 0, 0, 248, 216, 0, 0, -88, 0, 120, 0, 0, -24, 0, 0, 0, 0, 0, 128, 8, 0, 0, 88, 0, 248, 0, 0, -40, 48, 0, 0, 0, 0, -40, 64, 0, 0, -32, 0, 0, 0, 0, -72, -128, 0, 0, 0, 0, 200, 48, 0, 0, 92, 0, 276, 0, 0, -16, -160, 0, 0, 0, 0, -76, 184, 0, 0, 16, 0, -24, 0, 0, 336, -16, 0, 0, 0, 0, -112, 16, 0, 0, 40, 0, 28, 0, 0, 64, -184, 0, 0, 0, 0, -92], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46253285
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 829, 'source_dim': 16, 'source_embedding_index': 15, 'source_hecke_orbit_code': 31525403583580182, 'source_is_minimal': True, 'source_label': '2070.2.d.h.829.15', 'source_level': 2070, 'target_conrey_index': 829, 'target_dim': 16, 'target_embedding_index': 15, 'target_hecke_orbit_code': 31525403583580182, 'target_is_minimal': True, 'target_label': '2070.2.d.h.829.15', 'target_level': 2070, 'twist_class_label': '2070.2.d.h.829.2', 'twist_class_level': 2070, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46253286
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 829, 'source_dim': 16, 'source_embedding_index': 15, 'source_hecke_orbit_code': 31525403583580182, 'source_is_minimal': True, 'source_label': '2070.2.d.h.829.15', 'source_level': 2070, 'target_conrey_index': 829, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525403583580182, 'target_is_minimal': True, 'target_label': '2070.2.d.h.829.2', 'target_level': 2070, 'twist_class_label': '2070.2.d.h.829.2', 'twist_class_level': 2070, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46253287
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 829, 'source_dim': 16, 'source_embedding_index': 15, 'source_hecke_orbit_code': 31525403583580182, 'source_is_minimal': True, 'source_label': '2070.2.d.h.829.15', 'source_level': 2070, 'target_conrey_index': 829, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 31525403583580182, 'target_is_minimal': True, 'target_label': '2070.2.d.h.829.7', 'target_level': 2070, 'twist_class_label': '2070.2.d.h.829.2', 'twist_class_level': 2070, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46253288
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 829, 'source_dim': 16, 'source_embedding_index': 15, 'source_hecke_orbit_code': 31525403583580182, 'source_is_minimal': True, 'source_label': '2070.2.d.h.829.15', 'source_level': 2070, 'target_conrey_index': 829, 'target_dim': 16, 'target_embedding_index': 10, 'target_hecke_orbit_code': 31525403583580182, 'target_is_minimal': True, 'target_label': '2070.2.d.h.829.10', 'target_level': 2070, 'twist_class_label': '2070.2.d.h.829.2', 'twist_class_level': 2070, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2404600
{'charpoly_factorization': [[[1, 0, 1], 8]], 'hecke_orbit_code': 31525403583580182, 'p': 2}
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id: 2404601
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 31525403583580182, 'p': 3}
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id: 2404602
{'charpoly_factorization': [[[390625, 0, 0, 0, 7500, 0, 3600, 0, -154, 0, 144, 0, 12, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 31525403583580182, 'p': 5}
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id: 2404603
{'charpoly_factorization': [[[4096, 0, 3776, 0, 816, 0, 52, 0, 1], 2]], 'hecke_orbit_code': 31525403583580182, 'p': 7}
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id: 2404604
{'charpoly_factorization': [[[61504, 0, -19440, 0, 1936, 0, -76, 0, 1], 2]], 'hecke_orbit_code': 31525403583580182, 'p': 11}
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id: 2404605
{'charpoly_factorization': [[[30976, 0, 18432, 0, 2080, 0, 80, 0, 1], 2]], 'hecke_orbit_code': 31525403583580182, 'p': 13}
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id: 2404606
{'charpoly_factorization': [[[200704, 0, 44032, 0, 3328, 0, 100, 0, 1], 2]], 'hecke_orbit_code': 31525403583580182, 'p': 17}
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id: 2404607
{'charpoly_factorization': [[[16, -36, 4, 8, 1], 4]], 'hecke_orbit_code': 31525403583580182, 'p': 19}
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id: 2404608
{'charpoly_factorization': [[[1, 0, 1], 8]], 'hecke_orbit_code': 31525403583580182, 'p': 23}
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id: 2404609
{'charpoly_factorization': [[[12544, 0, -22272, 0, 3424, 0, -112, 0, 1], 2]], 'hecke_orbit_code': 31525403583580182, 'p': 29}
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id: 2404610
{'charpoly_factorization': [[[-128, 464, -64, -8, 1], 4]], 'hecke_orbit_code': 31525403583580182, 'p': 31}
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id: 2404611
{'charpoly_factorization': [[[30976, 0, 20272, 0, 2224, 0, 84, 0, 1], 2]], 'hecke_orbit_code': 31525403583580182, 'p': 37}
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id: 2404612
{'charpoly_factorization': [[[102400, 0, -35584, 0, 3840, 0, -128, 0, 1], 2]], 'hecke_orbit_code': 31525403583580182, 'p': 41}
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id: 2404613
{'charpoly_factorization': [[[1201216, 0, 334512, 0, 14576, 0, 216, 0, 1], 2]], 'hecke_orbit_code': 31525403583580182, 'p': 43}
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id: 2404614
{'charpoly_factorization': [[[802816, 0, 184576, 0, 12352, 0, 208, 0, 1], 2]], 'hecke_orbit_code': 31525403583580182, 'p': 47}
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id: 2404615
{'charpoly_factorization': [[[3136, 0, 2384, 0, 512, 0, 40, 0, 1], 2]], 'hecke_orbit_code': 31525403583580182, 'p': 53}
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id: 2404616
{'charpoly_factorization': [[[102400, 0, -35584, 0, 3840, 0, -128, 0, 1], 2]], 'hecke_orbit_code': 31525403583580182, 'p': 59}
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id: 2404617
{'charpoly_factorization': [[[22328, 924, -292, -6, 1], 4]], 'hecke_orbit_code': 31525403583580182, 'p': 61}
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id: 2404618
{'charpoly_factorization': [[[20286016, 0, 1271088, 0, 28720, 0, 280, 0, 1], 2]], 'hecke_orbit_code': 31525403583580182, 'p': 67}
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id: 2404619
{'charpoly_factorization': [[[6400, 0, -13056, 0, 3616, 0, -160, 0, 1], 2]], 'hecke_orbit_code': 31525403583580182, 'p': 71}
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id: 2404620
{'charpoly_factorization': [[[200704, 0, 374528, 0, 17728, 0, 240, 0, 1], 2]], 'hecke_orbit_code': 31525403583580182, 'p': 73}
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id: 2404621
{'charpoly_factorization': [[[-224, -632, -92, 6, 1], 4]], 'hecke_orbit_code': 31525403583580182, 'p': 79}
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id: 2404622
{'charpoly_factorization': [[[30118144, 0, 2145808, 0, 47056, 0, 388, 0, 1], 2]], 'hecke_orbit_code': 31525403583580182, 'p': 83}
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id: 2404623
{'charpoly_factorization': [[[58491904, 0, -5192960, 0, 87936, 0, -524, 0, 1], 2]], 'hecke_orbit_code': 31525403583580182, 'p': 89}
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id: 2404624
{'charpoly_factorization': [[[12544, 0, 22272, 0, 3424, 0, 112, 0, 1], 2]], 'hecke_orbit_code': 31525403583580182, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 4, 'hecke_orbit': 8, 'label': '2070.2.d.h', 'level': 2070, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 193225000
{'hecke_orbit_code': 31525403583580182, 'n': 1, 'trace_an': 16}
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id: 193225001
{'hecke_orbit_code': 31525403583580182, 'n': 2, 'trace_an': 0}
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id: 193225002
{'hecke_orbit_code': 31525403583580182, 'n': 3, 'trace_an': 0}
-
id: 193225003
{'hecke_orbit_code': 31525403583580182, 'n': 4, 'trace_an': -16}
-
id: 193225004
{'hecke_orbit_code': 31525403583580182, 'n': 5, 'trace_an': 0}
-
id: 193225005
{'hecke_orbit_code': 31525403583580182, 'n': 6, 'trace_an': 0}
-
id: 193225006
{'hecke_orbit_code': 31525403583580182, 'n': 7, 'trace_an': 0}
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id: 193225007
{'hecke_orbit_code': 31525403583580182, 'n': 8, 'trace_an': 0}
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id: 193225008
{'hecke_orbit_code': 31525403583580182, 'n': 9, 'trace_an': 0}
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id: 193225009
{'hecke_orbit_code': 31525403583580182, 'n': 10, 'trace_an': 0}
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id: 193225010
{'hecke_orbit_code': 31525403583580182, 'n': 11, 'trace_an': 0}
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id: 193225011
{'hecke_orbit_code': 31525403583580182, 'n': 12, 'trace_an': 0}
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id: 193225012
{'hecke_orbit_code': 31525403583580182, 'n': 13, 'trace_an': 0}
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id: 193225013
{'hecke_orbit_code': 31525403583580182, 'n': 14, 'trace_an': 0}
-
id: 193225014
{'hecke_orbit_code': 31525403583580182, 'n': 15, 'trace_an': 0}
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id: 193225015
{'hecke_orbit_code': 31525403583580182, 'n': 16, 'trace_an': 16}
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id: 193225016
{'hecke_orbit_code': 31525403583580182, 'n': 17, 'trace_an': 0}
-
id: 193225017
{'hecke_orbit_code': 31525403583580182, 'n': 18, 'trace_an': 0}
-
id: 193225018
{'hecke_orbit_code': 31525403583580182, 'n': 19, 'trace_an': -32}
-
id: 193225019
{'hecke_orbit_code': 31525403583580182, 'n': 20, 'trace_an': 0}
-
id: 193225020
{'hecke_orbit_code': 31525403583580182, 'n': 21, 'trace_an': 0}
-
id: 193225021
{'hecke_orbit_code': 31525403583580182, 'n': 22, 'trace_an': 0}
-
id: 193225022
{'hecke_orbit_code': 31525403583580182, 'n': 23, 'trace_an': 0}
-
id: 193225023
{'hecke_orbit_code': 31525403583580182, 'n': 24, 'trace_an': 0}
-
id: 193225024
{'hecke_orbit_code': 31525403583580182, 'n': 25, 'trace_an': 0}
-
id: 193225025
{'hecke_orbit_code': 31525403583580182, 'n': 26, 'trace_an': 0}
-
id: 193225026
{'hecke_orbit_code': 31525403583580182, 'n': 27, 'trace_an': 0}
-
id: 193225027
{'hecke_orbit_code': 31525403583580182, 'n': 28, 'trace_an': 0}
-
id: 193225028
{'hecke_orbit_code': 31525403583580182, 'n': 29, 'trace_an': 0}
-
id: 193225029
{'hecke_orbit_code': 31525403583580182, 'n': 30, 'trace_an': 0}
-
id: 193225030
{'hecke_orbit_code': 31525403583580182, 'n': 31, 'trace_an': 32}
-
id: 193225031
{'hecke_orbit_code': 31525403583580182, 'n': 32, 'trace_an': 0}
-
id: 193225032
{'hecke_orbit_code': 31525403583580182, 'n': 33, 'trace_an': 0}
-
id: 193225033
{'hecke_orbit_code': 31525403583580182, 'n': 34, 'trace_an': 8}
-
id: 193225034
{'hecke_orbit_code': 31525403583580182, 'n': 35, 'trace_an': 0}
-
id: 193225035
{'hecke_orbit_code': 31525403583580182, 'n': 36, 'trace_an': 0}
-
id: 193225036
{'hecke_orbit_code': 31525403583580182, 'n': 37, 'trace_an': 0}
-
id: 193225037
{'hecke_orbit_code': 31525403583580182, 'n': 38, 'trace_an': 0}
-
id: 193225038
{'hecke_orbit_code': 31525403583580182, 'n': 39, 'trace_an': 0}
-
id: 193225039
{'hecke_orbit_code': 31525403583580182, 'n': 40, 'trace_an': 0}
-
id: 193225040
{'hecke_orbit_code': 31525403583580182, 'n': 41, 'trace_an': 0}
-
id: 193225041
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