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mf_newforms • Show schema
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{'Nk2': 5796, 'analytic_conductor': 11.570323252883528, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 161, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': 1, 'char_values': [1449, 2, [1289, 829, 442], [2, 1, 1]], 'cm_discs': [-483], 'conrey_index': 1126, 'dim': 4, 'field_disc': 414736, 'field_disc_factorization': [[2, 4], [7, 2], [23, 2]], 'field_poly': [162, 2, -1, -2, 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': [[2, [0, 1]], [5, [0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504080697263529, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 8, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 483, 3, -1, 2, -483], [1, 1, 21, 3, 1, 2, 0], [1, 1, 69, 3, 1, 2, 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mf_hecke_cc • Show schema
Hide schema
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-0.25, 0.0, -0.3958200191970512, 0.0, -0.45284924481821653, 0.00875754092668472, -0.25, -0.25, -0.25, -0.24637972419887752, -0.25, -0.36448691818334145, 0.24689676446716077, 0.24069971380424968, 0.0, -0.40574552021601135, 0.1643166824589963, 0.0], 'char_orbit_index': 8, 'conrey_index': 1126, 'dual_conrey_index': 1126, 'dual_embedding_index': 3, 'dual_embedding_m': 3, 'embedding_index': 4, 'embedding_m': 4, 'embedding_root_imag': -2.3979157616563596, 'embedding_root_real': 3.1457513110645907, 'hecke_orbit': 2, 'hecke_orbit_code': 4504080697263529, 'label': '1449.2.h.b.1126.4', 'level': 1449, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 5796, 'analytic_conductor': 11.570323252883528, 'char_conductor': 161, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': 1, 'char_values': [1449, 2, [1289, 829, 442], [2, 1, 1]], 'conrey_index': 1126, 'cusp_dim': 184, 'dim': 78, 'eis_dim': 16, 'eis_new_dim': 4, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 481069893033, 'hecke_orbit_dims': [2, 4, 4, 8, 12, 12, 12, 12, 12], 'label': '1449.2.h', 'level': 1449, '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': [3, 7, 23], 'level_radical': 483, 'mf_dim': 200, 'mf_new_dim': 82, 'num_forms': 9, 'prim_orbit_index': 3, 'relative_dim': 78, 'sturm_bound': 384, 'trace_bound': 23, 'trace_display': [6, 0, 0, 0], 'traces': [78, 6, 0, 70, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, 0, 8, 0, 58, 0, 0, 0, -20, 0, 0, 62, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, -46, 18, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 64, -24, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 52, 0, 0, 24, 0, 0, 2, 0, -86, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, -12, 0, -94, 0, 0, 0, 0, 0, -40, 46, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, -4, 0, 100, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 72, 0, 0, 0, 0, 0, 0, -86, 0, 48, 0, 0, 0, 0, 0, -202, -128, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, -120, 0, 0, 44, 0, 0, -122, -164, 0, 0, 142, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -28, 4, 0, 0, 0, 0, -84, 32, 0, 0, -166, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -28, 44, 0, -98, 0, 0, 28, 0, 0, 0, 0, 0, 0, 124, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 44, 0, 0, 0, -364, 0, 0, 0, 0, -118, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, -188, 0, 0, -152, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 54, 224, 0, 0, 148, 0, 0, 0, 0, 184, 0, 0, 0, 0, 0, 0, -198, 0, -136, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 236, 0, 0, -74, 0, 0, 0, 0, 0, 0, 84, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, 136, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, -394, 0, -256, 0, 0, 0, 0, 0, -278, 0, 0, 280, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 152, 0, 0, 0, 0, 0, 0, 352, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 224, 0, 224, 0, 0, 0, 132, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, 0, 0, 336, -296, 0, 384, 0, 0, -24, 0, 0, 0, 120, 0, 0, 40, 0, 292, 0, 0, 0, 0, 0, -358, -88, 0, -184, 0, 0, 0, 104, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, -20, 0, -52, 0, 0, 0, 98, 0, 0, 248, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -218, 0, 0, -116, 104, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 100, -328, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -296, 0, 0, 0, 0, 0, 0, 152, 0, 0, 202, 0, 0, 84, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, -164, 0, -84, 0, 0, 0, 0, 0, 112, 152, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 88, 0, -114, 0, 0, 0, 0, 0, 0, 0, 0, -188, 0, 0, -20, 0, 0, 0, 0, 0, 0, -330, 0, -72, 0, 0, 0, 0, 0, 44, -364, 0, 0, 0, 0, 0, 0, 0, 0, -292, 0, 0, 0, 0, -248, 0, 0, 0, 0, 0, 204, 0, 0, -414, 0, 0, -76, -464, 0, 0, 152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 216, 92, 0, 0, 0, 0, 164, -58, 0, 0, -452, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, -288, 0, 208, 0, 0, 68, 0, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -760, 0, 0, 16, 0, 0, 0, -464, 0, 0, 0, 0, 320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -366, -296, 0, 0, -896, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 402, 0, 0, 0, 0, 172, 332, 0, 0, 196, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, -116, 0, -8, 0, 0, 0, 0, 0, 0, 496, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, -120, 0, 0, 0, 0, 0, 0, 168, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 0, 336, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, -328, 0, 236, 0, 0, 0, 0, 0, 80, 0, 0, 572, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, -148, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 664, 0, 608, 0, 0, 0, -8, 0, 0, 0, 0, 0, 460, 0, 0, 0, 0, 0, 0, 0, 472, -240, 0, 416, 0, 0, 76, 0, 0, 0, 300, 0, 0, -88, 0, -302, 0, 0, 0, 0, 0, -72, -122, 0, -248, 0, 0, 0, 276, 0, 0, 0, 0, 0, 0, 0, 764, 0, 0, 0, 0, 0, 0, -108, 0, -160, 0, 0, 0, 408, 0, 0, 364, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 35639464
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1126, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4504080697263529, 'source_is_minimal': True, 'source_label': '1449.2.h.b.1126.4', 'source_level': 1449, 'target_conrey_index': 1126, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504080697263529, 'target_is_minimal': True, 'target_label': '1449.2.h.b.1126.4', 'target_level': 1449, 'twist_class_label': '1449.2.h.b.1126.1', 'twist_class_level': 1449, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 35639465
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1126, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4504080697263529, 'source_is_minimal': True, 'source_label': '1449.2.h.b.1126.4', 'source_level': 1449, 'target_conrey_index': 1126, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504080697263529, 'target_is_minimal': True, 'target_label': '1449.2.h.b.1126.3', 'target_level': 1449, 'twist_class_label': '1449.2.h.b.1126.1', 'twist_class_level': 1449, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35639466
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1126, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4504080697263529, 'source_is_minimal': True, 'source_label': '1449.2.h.b.1126.4', 'source_level': 1449, 'target_conrey_index': 1126, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504080697263529, 'target_is_minimal': True, 'target_label': '1449.2.h.b.1126.2', 'target_level': 1449, 'twist_class_label': '1449.2.h.b.1126.1', 'twist_class_level': 1449, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 35639467
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1126, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4504080697263529, 'source_is_minimal': True, 'source_label': '1449.2.h.b.1126.4', 'source_level': 1449, 'target_conrey_index': 1126, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504080697263529, 'target_is_minimal': True, 'target_label': '1449.2.h.b.1126.1', 'target_level': 1449, 'twist_class_label': '1449.2.h.b.1126.1', 'twist_class_level': 1449, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 35639468
{'conductor': 23, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1126, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4504080697263529, 'source_is_minimal': True, 'source_label': '1449.2.h.b.1126.4', 'source_level': 1449, 'target_conrey_index': 1126, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504080697263529, 'target_is_minimal': True, 'target_label': '1449.2.h.b.1126.1', 'target_level': 1449, 'twist_class_label': '1449.2.h.b.1126.1', 'twist_class_level': 1449, 'twisting_char_label': '23.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 35639469
{'conductor': 69, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1126, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4504080697263529, 'source_is_minimal': True, 'source_label': '1449.2.h.b.1126.4', 'source_level': 1449, 'target_conrey_index': 1126, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504080697263529, 'target_is_minimal': True, 'target_label': '1449.2.h.b.1126.2', 'target_level': 1449, 'twist_class_label': '1449.2.h.b.1126.1', 'twist_class_level': 1449, 'twisting_char_label': '69.68', 'twisting_conrey_index': 68, 'weight': 2}
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id: 35639470
{'conductor': 161, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1126, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4504080697263529, 'source_is_minimal': True, 'source_label': '1449.2.h.b.1126.4', 'source_level': 1449, 'target_conrey_index': 1126, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504080697263529, 'target_is_minimal': True, 'target_label': '1449.2.h.b.1126.3', 'target_level': 1449, 'twist_class_label': '1449.2.h.b.1126.1', 'twist_class_level': 1449, 'twisting_char_label': '161.160', 'twisting_conrey_index': 160, 'weight': 2}
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id: 35639471
{'conductor': 483, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1126, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4504080697263529, 'source_is_minimal': True, 'source_label': '1449.2.h.b.1126.4', 'source_level': 1449, 'target_conrey_index': 1126, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504080697263529, 'target_is_minimal': True, 'target_label': '1449.2.h.b.1126.4', 'target_level': 1449, 'twist_class_label': '1449.2.h.b.1126.1', 'twist_class_level': 1449, 'twisting_char_label': '483.482', 'twisting_conrey_index': 482, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1957875
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504080697263529, 'p': 2}
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id: 1957876
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504080697263529, 'p': 3}
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id: 1957877
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504080697263529, 'p': 5}
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id: 1957878
{'charpoly_factorization': [[[-7, 0, 1], 2]], 'hecke_orbit_code': 4504080697263529, 'p': 7}
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id: 1957879
{'charpoly_factorization': [[[23, 0, 1], 2]], 'hecke_orbit_code': 4504080697263529, 'p': 11}
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id: 1957880
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504080697263529, 'p': 13}
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id: 1957881
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504080697263529, 'p': 17}
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id: 1957882
{'charpoly_factorization': [[[-7, 0, 1], 2]], 'hecke_orbit_code': 4504080697263529, 'p': 19}
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id: 1957883
{'charpoly_factorization': [[[23, 0, 1], 2]], 'hecke_orbit_code': 4504080697263529, 'p': 23}
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id: 1957884
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504080697263529, 'p': 29}
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id: 1957885
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504080697263529, 'p': 31}
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id: 1957886
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504080697263529, 'p': 37}
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id: 1957887
{'charpoly_factorization': [[[161, 0, 1], 2]], 'hecke_orbit_code': 4504080697263529, 'p': 41}
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id: 1957888
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504080697263529, 'p': 43}
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id: 1957889
{'charpoly_factorization': [[[161, 0, 1], 2]], 'hecke_orbit_code': 4504080697263529, 'p': 47}
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id: 1957890
{'charpoly_factorization': [[[23, 0, 1], 2]], 'hecke_orbit_code': 4504080697263529, 'p': 53}
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id: 1957891
{'charpoly_factorization': [[[161, 0, 1], 2]], 'hecke_orbit_code': 4504080697263529, 'p': 59}
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id: 1957892
{'charpoly_factorization': [[[-175, 0, 1], 2]], 'hecke_orbit_code': 4504080697263529, 'p': 61}
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id: 1957893
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504080697263529, 'p': 67}
-
id: 1957894
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504080697263529, 'p': 71}
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id: 1957895
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504080697263529, 'p': 73}
-
id: 1957896
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504080697263529, 'p': 79}
-
id: 1957897
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504080697263529, 'p': 83}
-
id: 1957898
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504080697263529, 'p': 89}
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id: 1957899
{'charpoly_factorization': [[[-112, 0, 1], 2]], 'hecke_orbit_code': 4504080697263529, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 8, 'hecke_orbit': 2, 'label': '1449.2.h.b', 'level': 1449, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 23070337
{'hecke_orbit_code': 4504080697263529, 'n': 1, 'trace_an': 4}
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id: 23070338
{'hecke_orbit_code': 4504080697263529, 'n': 2, 'trace_an': 0}
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id: 23070339
{'hecke_orbit_code': 4504080697263529, 'n': 3, 'trace_an': 0}
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id: 23070340
{'hecke_orbit_code': 4504080697263529, 'n': 4, 'trace_an': -8}
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id: 23070341
{'hecke_orbit_code': 4504080697263529, 'n': 5, 'trace_an': 0}
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id: 23070342
{'hecke_orbit_code': 4504080697263529, 'n': 6, 'trace_an': 0}
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