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mf_newforms • Show schema
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{'Nk2': 6600, 'analytic_conductor': 13.175316333511264, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [1650, 2, [551, 727, 1201], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 199, 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [9, 0, 1]], [13, [16, 0, 1]], [17, [49, 0, 1]], [19, [5, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45036133746214514, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 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mf_hecke_cc • Show schema
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-0.30517465720403153, -0.30133043017042355, -0.48924256883846956, -0.25, -0.43965208348231705, 0.06217542970251925, -0.347879137488524, -0.24109609922988917], 'char_orbit_index': 3, 'conrey_index': 199, 'dual_conrey_index': 199, 'dual_embedding_index': 2, 'dual_embedding_m': 2, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': -1.0, 'embedding_root_real': 0.0, 'hecke_orbit': 11, 'hecke_orbit_code': 45036133746214514, 'label': '1650.2.c.k.199.1', 'level': 1650, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 6600, 'analytic_conductor': 13.175316333511264, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [1650, 2, [551, 727, 1201], [2, 1, 2]], 'conrey_index': 199, 'cusp_dim': 336, 'dim': 32, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 13, 17, 19], 'hecke_orbit_code': 137472509554, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4], 'label': '1650.2.c', 'level': 1650, '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, 11], 'level_radical': 330, 'mf_dim': 384, 'mf_new_dim': 32, 'num_forms': 15, 'prim_orbit_index': 2, 'relative_dim': 32, 'sturm_bound': 720, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [32, 0, 0, -32, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 32, 0, 0, -8, 0, 8, 0, 0, 0, 0, 24, 0, 0, -24, 0, -24, 0, 0, -40, 0, 32, 0, 0, -8, 0, -8, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, -32, 0, 8, 0, 0, -16, 0, -96, 0, 0, -24, 0, 8, 0, 0, -8, 0, 32, 0, 0, -8, 0, -32, 0, 0, 24, 0, 32, 0, 0, -32, 0, 0, 0, 0, 0, 0, -56, 0, 0, -24, 0, -8, 0, 0, -16, 0, 8, 0, 0, -16, 0, 24, 0, 0, 112, 0, 32, 0, 0, 24, 0, 0, 0, 0, -40, 0, -112, 0, 0, 32, 0, 40, 0, 0, 8, 0, 32, 0, 0, -32, 0, -8, 0, 0, 40, 0, -104, 0, 0, -16, 0, 8, 0, 0, -16, 0, -48, 0, 0, 8, 0, 40, 0, 0, -24, 0, 8, 0, 0, -8, 0, 0, 0, 0, 80, 0, 40, 0, 0, 0, 0, 0, 0, 0, -8, 0, -80, 0, 0, -8, 0, 24, 0, 0, 56, 0, -16, 0, 0, 0, 0, 48, 0, 0, 32, 0, -40, 0, 0, 24, 0, 0, 0, 0, 56, 0, 32, 0, 0, 0, 0, 8, 0, 0, -104, 0, 0, 0, 0, -24, 0, -32, 0, 0, 160, 0, 48, 0, 0, 0, 0, -24, 0, 0, -16, 0, -48, 0, 0, -80, 0, 32, 0, 0, 128, 0, 24, 0, 0, -8, 0, -16, 0, 0, 104, 0, -8, 0, 0, 24, 0, 16, 0, 0, 24, 0, -72, 0, 0, 96, 0, 8, 0, 0, -8, 0, 40, 0, 0, -32, 0, 24, 0, 0, 48, 0, 32, 0, 0, -8, 0, 40, 0, 0, 48, 0, 64, 0, 0, -72, 0, 8, 0, 0, 32, 0, 16, 0, 0, -32, 0, 0, 0, 0, -112, 0, -112, 0, 0, -32, 0, 8, 0, 0, -104, 0, 0, 0, 0, 32, 0, 0, 0, 0, -32, 0, 8, 0, 0, 64, 0, -24, 0, 0, 96, 0, 16, 0, 0, -32, 0, 40, 0, 0, 8, 0, -64, 0, 0, 0, 0, 32, 0, 0, -32, 0, 8, 0, 0, 0, 0, -8, 0, 0, 88, 0, 48, 0, 0, 64, 0, 0, 0, 0, 32, 0, -24, 0, 0, 56, 0, 16, 0, 0, 32, 0, 24, 0, 0, 0, 0, 24, 0, 0, -112, 0, 56, 0, 0, 8, 0, -48, 0, 0, -16, 0, -32, 0, 0, 64, 0, 16, 0, 0, -24, 0, 24, 0, 0, -8, 0, -32, 0, 0, 8, 0, -24, 0, 0, 8, 0, 16, 0, 0, 0, 0, 264, 0, 0, -24, 0, -104, 0, 0, -112, 0, 72, 0, 0, 40, 0, -112, 0, 0, 0, 0, 160, 0, 0, -32, 0, 0, 0, 0, -160, 0, -48, 0, 0, 80, 0, -24, 0, 0, 96, 0, -96, 0, 0, 0, 0, -32, 0, 0, 72, 0, -16, 0, 0, -8, 0, 40, 0, 0, 48, 0, -168, 0, 0, 112, 0, -48, 0, 0, 96, 0, -32, 0, 0, 48, 0, -32, 0, 0, 64, 0, 176, 0, 0, -40, 0, -128, 0, 0, 0, 0, -24, 0, 0, -160, 0, -8, 0, 0, -104, 0, -16, 0, 0, -32, 0, 8, 0, 0, -8, 0, 40, 0, 0, 192, 0, 32, 0, 0, -120, 0, 96, 0, 0, 8, 0, 24, 0, 0, -112, 0, -32, 0, 0, -8, 0, -40, 0, 0, 40, 0, 144, 0, 0, 104, 0, -56, 0, 0, 80, 0, 144, 0, 0, 216, 0, 16, 0, 0, 128, 0, 16, 0, 0, -8, 0, -56, 0, 0, -464, 0, -256, 0, 0, 24, 0, 16, 0, 0, 96, 0, 280, 0, 0, 48, 0, -160, 0, 0, -24, 0, 128, 0, 0, -8, 0, -8, 0, 0, -256, 0, -24, 0, 0, -40, 0, 24, 0, 0, -16, 0, 24, 0, 0, -56, 0, 24, 0, 0, -400, 0, -96, 0, 0, -8, 0, 48, 0, 0, -32, 0, 16, 0, 0, 16, 0, 8, 0, 0, 64, 0, -72, 0, 0, 0, 0, -104, 0, 0, 104, 0, 8, 0, 0, 144, 0, -80, 0, 0, 40, 0, -80, 0, 0, -40, 0, 0, 0, 0, -32, 0, -128, 0, 0, 176, 0, 0, 0, 0, -56, 0, 144, 0, 0, 0, 0, 48, 0, 0, -80, 0, -8, 0, 0, 96, 0, 8, 0, 0, 0, 0, 312, 0, 0, 80, 0, -176, 0, 0, 64, 0, -104, 0, 0, 32, 0, 8, 0, 0, 32, 0, -40, 0, 0, -24, 0, -96, 0, 0, -48, 0, 176, 0, 0, -24, 0, -56, 0, 0, 160, 0, -24, 0, 0, 16, 0, -232, 0, 0, -408, 0, 136, 0, 0, -8, 0, 0, 0, 0, -32, 0, -280, 0, 0, -48, 0, -296, 0, 0, -208, 0, -40, 0, 0, -56, 0, -32, 0, 0, -88, 0, 296, 0, 0, 40, 0, 32, 0, 0, 8, 0, 80, 0, 0, -176, 0, -24, 0, 0, 176, 0, -168, 0, 0, 0, 0, 232, 0, 0, 48, 0, -448, 0, 0, 64, 0, -56, 0, 0, 176, 0, 24, 0, 0, -32, 0, 176, 0, 0, -136, 0, 0, 0, 0, 72, 0, 0, 0, 0, 160, 0, -96, 0, 0, -8, 0, -64, 0, 0, 56, 0, 40, 0, 0, -344, 0, 104, 0, 0, 152, 0, 104, 0, 0, 0, 0, 112, 0, 0, -312, 0, 312, 0, 0, 112, 0, 24, 0, 0, -56, 0, -40, 0, 0, 32, 0, 56, 0, 0, -240, 0, -176, 0, 0, 8, 0, -160, 0, 0, -48, 0, 40, 0, 0, -48, 0, 0, 0, 0, 72, 0, 288, 0, 0, -112, 0, 0, 0, 0, 32, 0, 16, 0, 0, 24, 0, 256, 0, 0, -544, 0, 192, 0, 0, -152, 0, 16, 0, 0, -8, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47164410
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036133746214514, 'source_is_minimal': False, 'source_label': '1650.2.c.k.199.1', 'source_level': 1650, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036133746214514, 'target_is_minimal': False, 'target_label': '1650.2.c.k.199.1', 'target_level': 1650, 'twist_class_label': '1650.2.a.a.1.1', 'twist_class_level': 1650, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47164411
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036133746214514, 'source_is_minimal': False, 'source_label': '1650.2.c.k.199.1', 'source_level': 1650, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49539733373588310, 'target_is_minimal': False, 'target_label': '4950.2.c.l.199.2', 'target_level': 4950, 'twist_class_label': '1650.2.a.a.1.1', 'twist_class_level': 1650, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47164412
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036133746214514, 'source_is_minimal': False, 'source_label': '1650.2.c.k.199.1', 'source_level': 1650, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81064793326225010, 'target_is_minimal': True, 'target_label': '1650.2.a.s.1.1', 'target_level': 1650, 'twist_class_label': '1650.2.a.a.1.1', 'twist_class_level': 1650, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47164413
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036133746214514, 'source_is_minimal': False, 'source_label': '1650.2.c.k.199.1', 'source_level': 1650, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33556082, 'target_is_minimal': True, 'target_label': '1650.2.a.a.1.1', 'target_level': 1650, 'twist_class_label': '1650.2.a.a.1.1', 'twist_class_level': 1650, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47164414
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036133746214514, 'source_is_minimal': False, 'source_label': '1650.2.c.k.199.1', 'source_level': 1650, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45036133746214514, 'target_is_minimal': False, 'target_label': '1650.2.c.k.199.2', 'target_level': 1650, 'twist_class_label': '1650.2.a.a.1.1', 'twist_class_level': 1650, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47164415
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036133746214514, 'source_is_minimal': False, 'source_label': '1650.2.c.k.199.1', 'source_level': 1650, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561193698857814, 'target_is_minimal': False, 'target_label': '4950.2.a.r.1.1', 'target_level': 4950, 'twist_class_label': '1650.2.a.a.1.1', 'twist_class_level': 1650, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47164416
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036133746214514, 'source_is_minimal': False, 'source_label': '1650.2.c.k.199.1', 'source_level': 1650, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 112589990717821782, 'target_is_minimal': False, 'target_label': '4950.2.a.z.1.1', 'target_level': 4950, 'twist_class_label': '1650.2.a.a.1.1', 'twist_class_level': 1650, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 47164417
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036133746214514, 'source_is_minimal': False, 'source_label': '1650.2.c.k.199.1', 'source_level': 1650, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539733373588310, 'target_is_minimal': False, 'target_label': '4950.2.c.l.199.1', 'target_level': 4950, 'twist_class_label': '1650.2.a.a.1.1', 'twist_class_level': 1650, '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: 2104175
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 45036133746214514, 'p': 2}
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id: 2104176
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 45036133746214514, 'p': 3}
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id: 2104177
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 45036133746214514, 'p': 5}
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id: 2104178
{'charpoly_factorization': [[[9, 0, 1], 1]], 'hecke_orbit_code': 45036133746214514, 'p': 7}
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id: 2104179
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 45036133746214514, 'p': 11}
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id: 2104180
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 45036133746214514, 'p': 13}
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id: 2104181
{'charpoly_factorization': [[[49, 0, 1], 1]], 'hecke_orbit_code': 45036133746214514, 'p': 17}
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id: 2104182
{'charpoly_factorization': [[[5, 1], 2]], 'hecke_orbit_code': 45036133746214514, 'p': 19}
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id: 2104183
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 45036133746214514, 'p': 23}
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id: 2104184
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 45036133746214514, 'p': 29}
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id: 2104185
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 45036133746214514, 'p': 31}
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id: 2104186
{'charpoly_factorization': [[[49, 0, 1], 1]], 'hecke_orbit_code': 45036133746214514, 'p': 37}
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id: 2104187
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 45036133746214514, 'p': 41}
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id: 2104188
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 45036133746214514, 'p': 43}
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id: 2104189
{'charpoly_factorization': [[[169, 0, 1], 1]], 'hecke_orbit_code': 45036133746214514, 'p': 47}
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id: 2104190
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 45036133746214514, 'p': 53}
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id: 2104191
{'charpoly_factorization': [[[-5, 1], 2]], 'hecke_orbit_code': 45036133746214514, 'p': 59}
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id: 2104192
{'charpoly_factorization': [[[-12, 1], 2]], 'hecke_orbit_code': 45036133746214514, 'p': 61}
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id: 2104193
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 45036133746214514, 'p': 67}
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id: 2104194
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 45036133746214514, 'p': 71}
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id: 2104195
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 45036133746214514, 'p': 73}
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id: 2104196
{'charpoly_factorization': [[[-15, 1], 2]], 'hecke_orbit_code': 45036133746214514, 'p': 79}
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id: 2104197
{'charpoly_factorization': [[[196, 0, 1], 1]], 'hecke_orbit_code': 45036133746214514, 'p': 83}
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id: 2104198
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 45036133746214514, 'p': 89}
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id: 2104199
{'charpoly_factorization': [[[49, 0, 1], 1]], 'hecke_orbit_code': 45036133746214514, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 3, 'hecke_orbit': 11, 'label': '1650.2.c.k', 'level': 1650, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 214764000
{'hecke_orbit_code': 45036133746214514, 'n': 1, 'trace_an': 2}
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id: 214764001
{'hecke_orbit_code': 45036133746214514, 'n': 2, 'trace_an': 0}
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id: 214764002
{'hecke_orbit_code': 45036133746214514, 'n': 3, 'trace_an': 0}
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id: 214764003
{'hecke_orbit_code': 45036133746214514, 'n': 4, 'trace_an': -2}
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id: 214764004
{'hecke_orbit_code': 45036133746214514, 'n': 5, 'trace_an': 0}
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id: 214764005
{'hecke_orbit_code': 45036133746214514, 'n': 6, 'trace_an': 2}
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id: 214764006
{'hecke_orbit_code': 45036133746214514, 'n': 7, 'trace_an': 0}
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id: 214764007
{'hecke_orbit_code': 45036133746214514, 'n': 8, 'trace_an': 0}
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id: 214764008
{'hecke_orbit_code': 45036133746214514, 'n': 9, 'trace_an': -2}
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id: 214764009
{'hecke_orbit_code': 45036133746214514, 'n': 10, 'trace_an': 0}
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id: 214764010
{'hecke_orbit_code': 45036133746214514, 'n': 11, 'trace_an': 2}
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id: 214764011
{'hecke_orbit_code': 45036133746214514, 'n': 12, 'trace_an': 0}
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id: 214764012
{'hecke_orbit_code': 45036133746214514, 'n': 13, 'trace_an': 0}
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id: 214764013
{'hecke_orbit_code': 45036133746214514, 'n': 14, 'trace_an': -6}
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id: 214764014
{'hecke_orbit_code': 45036133746214514, 'n': 15, 'trace_an': 0}
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id: 214764015
{'hecke_orbit_code': 45036133746214514, 'n': 16, 'trace_an': 2}
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id: 214764016
{'hecke_orbit_code': 45036133746214514, 'n': 17, 'trace_an': 0}
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