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mf_newforms • Show schema
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{'Nk2': 7290, 'analytic_conductor': 22.07090141318405, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 45, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 6, 'char_parity': -1, 'char_values': [810, 6, [731, 487], [1, 3]], 'cm_discs': [], 'conrey_index': 269, 'dim': 8, 'field_disc': 81622204416, 'field_disc_factorization': [[2, 20], [3, 4], [31, 2]], 'field_poly': [961, 0, -434, 0, 165, 0, -14, 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, [15376, 0, -23312, 0, 35220, 0, -188, 0, 1]], [17, [-89, 6, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 618525623082, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 15, 4, -1, 2, 0], 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 7290, 'analytic_conductor': 22.07090141318405, 'char_conductor': 45, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 6, 'char_parity': -1, 'char_values': [810, 6, [731, 487], [1, 3]], 'conrey_index': 269, 'cusp_dim': 600, 'dim': 96, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 17], 'hecke_orbit_code': 618525623082, 'hecke_orbit_dims': [8, 8, 8, 8, 8, 8, 24, 24], 'label': '810.3.j', 'level': 810, '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], 'level_radical': 30, 'mf_dim': 696, 'mf_new_dim': 96, 'num_forms': 8, 'prim_orbit_index': 8, 'relative_dim': 48, 'sturm_bound': 486, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 288, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, -96, 0, 0, 768, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, 0, -624, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -336, 0, 0, 168, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 120, 0, 0, -144, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, 240, 0, 0, 240, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, -624, 0, 0, 0, 0, 0, -888, 0, 0, -2400, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 264, 0, 0, 288, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 3408, 0, 0, -48, 0, 0, 0, 0, 0, -528, 0, 0, 0, 0, 0, 576, 0, 0, 3600, 0, 0, 0, 0, 0, -1008, 0, 0, 0, 0, 0, -2112, 0, 0, -888, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, -1920, 0, 0, -192, 0, 0, 0, 0, 0, 1056, 0, 0, 0, 0, 0, 2976, 0, 0, 384, 0, 0, 0, 0, 0, 1284, 0, 0, 0, 0, 0, -768, 0, 0, 3000, 0, 0, 0, 0, 0, 1296, 0, 0, 0, 0, 0, -6240, 0, 0, 240, 0, 0, 0, 0, 0, 960, 0, 0, 0, 0, 0, -240, 0, 0, -8160, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 3240, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 2496, 0, 0, -1680, 0, 0, 0, 0, 0, -3288, 0, 0, 0, 0, 0, 648, 0, 0, 1776, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, -1440, 0, 0, 0, 0, 0, -1728, 0, 0, 336, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 336, 0, 0, 3072, 0, 0, 0, 0, 0, 3960, 0, 0, 0, 0, 0, -936, 0, 0, 960, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 1056, 0, 0, 2976, 0, 0, 0, 0, 0, 960, 0, 0, 0, 0, 0, -4656, 0, 0, -480, 0, 0, 0, 0, 0, -1944, 0, 0, 0, 0, 0, 144, 0, 0, -4872, 0, 0, 0, 0, 0, -3228, 0, 0, 0, 0, 0, 7968, 0, 0, -2184, 0, 0, 0, 0, 0, -1056, 0, 0, 0, 0, 0, -2256, 0, 0, 8448, 0, 0, 0, 0, 0, -1248, 0, 0, 0, 0, 0, -2184, 0, 0, 480, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, -960, 0, 0, 4152, 0, 0, 0, 0, 0, 3744, 0, 0, 0, 0, 0, -1848, 0, 0, 2304, 0, 0, 0, 0, 0, 360, 0, 0, 0, 0, 0, 792, 0, 0, -336, 0, 0, 0, 0, 0, 7320, 0, 0, 0, 0, 0, -3552, 0, 0, 0, 0, 0, 0, 0, 0, 1920, 0, 0, 0, 0, 0, -720, 0, 0, -17664, 0, 0, 0, 0, 0, -4680, 0, 0, 0, 0, 0, 4416, 0, 0, 384, 0, 0, 0, 0, 0, 624, 0, 0, 0, 0, 0, -288, 0, 0, -11400, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 4824, 0, 0, 3552, 0, 0, 0, 0, 0, -2292, 0, 0, 0, 0, 0, 2400, 0, 0, -648, 0, 0, 0, 0, 0, -2388, 0, 0, 0, 0, 0, 3456, 0, 0, 3552, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4416, 0, 0, 17856, 0, 0, 0, 0, 0, 4104, 0, 0, 0, 0, 0, -3672, 0, 0, 528, 0, 0, 0, 0, 0, 1920, 0, 0, 0, 0, 0, -1152, 0, 0, 5064, 0, 0, 0, 0, 0, 1896, 0, 0, 0, 0, 0, -2184, 0, 0, -7152, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, -1848, 0, 0, -7104, 0, 0, 0, 0, 0, -6768, 0, 0, 0, 0, 0, 4512, 0, 0, -3408, 0, 0, 0, 0, 0, -8808, 0, 0, 0, 0, 0, -96, 0, 0, -528, 0, 0, 0, 0, 0, -5592, 0, 0, 0, 0, 0, 576, 0, 0, -792, 0, 0, 0, 0, 0, 528, 0, 0, 0, 0, 0, -2064, 0, 0, 13656, 0, 0, 0, 0, 0, -432, 0, 0, 0, 0, 0, -5712, 0, 0, -2304, 0, 0, 0, 0, 0, 8616, 0, 0, 0, 0, 0, -3600, 0, 0, 12048, 0, 0, 0, 0, 0, 9264, 0, 0, 0, 0, 0, -10752, 0, 0, 6096, 0, 0, 0, 0, 0, 4032, 0, 0, 0, 0, 0, -1248, 0, 0, -15504, 0, 0, 0, 0, 0, 1824, 0, 0, 0, 0, 0, -3576, 0, 0, -4224, 0, 0, 0, 0, 0, -5508, 0, 0, 0, 0, 0, 3552, 0, 0, -17376, 0, 0, 0, 0, 0, -10608, 0, 0, 0, 0, 0, 15480, 0, 0, 7296, 0, 0, 0, 0, 0, -768, 0, 0, 0, 0, 0, 3816, 0, 0, 5160, 0, 0, 0, 0, 0, -5064, 0, 0, 0, 0, 0, 7728, 0, 0, 1920, 0, 0, 0, 0, 0, 14256, 0, 0, 0, 0, 0, -384, 0, 0, 11712, 0, 0, 0, 0, 0, 5496, 0, 0, 0, 0, 0, -120, 0, 0, 3192, 0, 0, 0, 0, 0, -1056, 0, 0, 0, 0, 0, 9408, 0, 0, -3168, 0, 0, 0, 0, 0, -15984, 0, 0, 0, 0, 0, -6840, 0, 0, -11904, 0, 0, 0, 0, 0, -3816, 0, 0, 0, 0, 0, -384, 0, 0, -8400, 0, 0, 0, 0, 0, -1368, 0, 0, 0, 0, 0, -5088, 0, 0, -16368, 0, 0, 0, 0, 0, -5136], 'weight': 3, 'weight_parity': -1}
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mf_twists_cc • Show schema
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id: 7593825
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 539, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618525623082, 'source_is_minimal': False, 'source_label': '810.3.j.a.539.4', 'source_level': 810, 'target_conrey_index': 539, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 618525623082, 'target_is_minimal': False, 'target_label': '810.3.j.a.539.4', 'target_level': 810, 'twist_class_label': '270.3.b.a.269.3', 'twist_class_level': 270, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 7593826
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 539, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618525623082, 'source_is_minimal': False, 'source_label': '810.3.j.a.539.4', 'source_level': 810, 'target_conrey_index': 539, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518616662475562, 'target_is_minimal': False, 'target_label': '810.3.j.f.539.1', 'target_level': 810, 'twist_class_label': '270.3.b.a.269.3', 'twist_class_level': 270, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 7593827
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 539, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618525623082, 'source_is_minimal': False, 'source_label': '810.3.j.a.539.4', 'source_level': 810, 'target_conrey_index': 539, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518616662475562, 'target_is_minimal': False, 'target_label': '810.3.j.f.539.2', 'target_level': 810, 'twist_class_label': '270.3.b.a.269.3', 'twist_class_level': 270, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 3}
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id: 7593828
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 539, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618525623082, 'source_is_minimal': False, 'source_label': '810.3.j.a.539.4', 'source_level': 810, 'target_conrey_index': 269, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518616662475562, 'target_is_minimal': False, 'target_label': '810.3.j.f.269.2', 'target_level': 810, 'twist_class_label': '270.3.b.a.269.3', 'twist_class_level': 270, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 7593829
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 539, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618525623082, 'source_is_minimal': False, 'source_label': '810.3.j.a.539.4', 'source_level': 810, 'target_conrey_index': 269, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510867651920142, 'target_is_minimal': True, 'target_label': '270.3.b.d.269.1', 'target_level': 270, 'twist_class_label': '270.3.b.a.269.3', 'twist_class_level': 270, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 3}
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id: 7593830
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 539, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618525623082, 'source_is_minimal': False, 'source_label': '810.3.j.a.539.4', 'source_level': 810, 'target_conrey_index': 269, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 68769808654, 'target_is_minimal': True, 'target_label': '270.3.b.a.269.4', 'target_level': 270, 'twist_class_label': '270.3.b.a.269.3', 'twist_class_level': 270, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 3}
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id: 7593831
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 539, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618525623082, 'source_is_minimal': False, 'source_label': '810.3.j.a.539.4', 'source_level': 810, 'target_conrey_index': 269, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 618525623082, 'target_is_minimal': False, 'target_label': '810.3.j.a.269.3', 'target_level': 810, 'twist_class_label': '270.3.b.a.269.3', 'twist_class_level': 270, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 3}
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id: 7593832
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 539, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618525623082, 'source_is_minimal': False, 'source_label': '810.3.j.a.539.4', 'source_level': 810, 'target_conrey_index': 539, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 618525623082, 'target_is_minimal': False, 'target_label': '810.3.j.a.539.3', 'target_level': 810, 'twist_class_label': '270.3.b.a.269.3', 'twist_class_level': 270, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 3}
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id: 7593833
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 539, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618525623082, 'source_is_minimal': False, 'source_label': '810.3.j.a.539.4', 'source_level': 810, 'target_conrey_index': 1889, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 27021735253510256, 'target_is_minimal': False, 'target_label': '2160.3.c.g.1889.4', 'target_level': 2160, 'twist_class_label': '270.3.b.a.269.3', 'twist_class_level': 270, 'twisting_char_label': '36.23', 'twisting_conrey_index': 23, 'weight': 3}
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id: 7593834
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 539, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618525623082, 'source_is_minimal': False, 'source_label': '810.3.j.a.539.4', 'source_level': 810, 'target_conrey_index': 1889, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043333017733232, 'target_is_minimal': False, 'target_label': '2160.3.c.m.1889.1', 'target_level': 2160, 'twist_class_label': '270.3.b.a.269.3', 'twist_class_level': 270, 'twisting_char_label': '36.31', 'twisting_conrey_index': 31, 'weight': 3}
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id: 7593835
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 539, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618525623082, 'source_is_minimal': False, 'source_label': '810.3.j.a.539.4', 'source_level': 810, 'target_conrey_index': 269, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 68769808654, 'target_is_minimal': True, 'target_label': '270.3.b.a.269.3', 'target_level': 270, 'twist_class_label': '270.3.b.a.269.3', 'twist_class_level': 270, 'twisting_char_label': '45.4', 'twisting_conrey_index': 4, 'weight': 3}
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id: 7593836
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 539, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618525623082, 'source_is_minimal': False, 'source_label': '810.3.j.a.539.4', 'source_level': 810, 'target_conrey_index': 701, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 63050600991950150, 'target_is_minimal': False, 'target_label': '1350.3.d.o.701.7', 'target_level': 1350, 'twist_class_label': '270.3.b.a.269.3', 'twist_class_level': 270, 'twisting_char_label': '45.13', 'twisting_conrey_index': 13, 'weight': 3}
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id: 7593837
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 539, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618525623082, 'source_is_minimal': False, 'source_label': '810.3.j.a.539.4', 'source_level': 810, 'target_conrey_index': 269, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510867651920142, 'target_is_minimal': True, 'target_label': '270.3.b.d.269.2', 'target_level': 270, 'twist_class_label': '270.3.b.a.269.3', 'twist_class_level': 270, 'twisting_char_label': '45.14', 'twisting_conrey_index': 14, 'weight': 3}
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id: 7593838
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 539, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618525623082, 'source_is_minimal': False, 'source_label': '810.3.j.a.539.4', 'source_level': 810, 'target_conrey_index': 701, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050600991950150, 'target_is_minimal': False, 'target_label': '1350.3.d.o.701.2', 'target_level': 1350, 'twist_class_label': '270.3.b.a.269.3', 'twist_class_level': 270, 'twisting_char_label': '45.22', 'twisting_conrey_index': 22, 'weight': 3}
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id: 7593839
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 539, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618525623082, 'source_is_minimal': False, 'source_label': '810.3.j.a.539.4', 'source_level': 810, 'target_conrey_index': 701, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 63050600991950150, 'target_is_minimal': False, 'target_label': '1350.3.d.o.701.3', 'target_level': 1350, 'twist_class_label': '270.3.b.a.269.3', 'twist_class_level': 270, 'twisting_char_label': '45.23', 'twisting_conrey_index': 23, 'weight': 3}
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id: 7593840
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 539, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618525623082, 'source_is_minimal': False, 'source_label': '810.3.j.a.539.4', 'source_level': 810, 'target_conrey_index': 269, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 618525623082, 'target_is_minimal': False, 'target_label': '810.3.j.a.269.4', 'target_level': 810, 'twist_class_label': '270.3.b.a.269.3', 'twist_class_level': 270, 'twisting_char_label': '45.29', 'twisting_conrey_index': 29, 'weight': 3}
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id: 7593841
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 539, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618525623082, 'source_is_minimal': False, 'source_label': '810.3.j.a.539.4', 'source_level': 810, 'target_conrey_index': 701, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 63050600991950150, 'target_is_minimal': False, 'target_label': '1350.3.d.o.701.6', 'target_level': 1350, 'twist_class_label': '270.3.b.a.269.3', 'twist_class_level': 270, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 3}
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id: 7593842
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 539, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618525623082, 'source_is_minimal': False, 'source_label': '810.3.j.a.539.4', 'source_level': 810, 'target_conrey_index': 269, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518616662475562, 'target_is_minimal': False, 'target_label': '810.3.j.f.269.1', 'target_level': 810, 'twist_class_label': '270.3.b.a.269.3', 'twist_class_level': 270, 'twisting_char_label': '45.34', 'twisting_conrey_index': 34, 'weight': 3}
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id: 7593843
{'conductor': 180, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 539, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618525623082, 'source_is_minimal': False, 'source_label': '810.3.j.a.539.4', 'source_level': 810, 'target_conrey_index': 1889, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043333017733232, 'target_is_minimal': False, 'target_label': '2160.3.c.m.1889.2', 'target_level': 2160, 'twist_class_label': '270.3.b.a.269.3', 'twist_class_level': 270, 'twisting_char_label': '180.59', 'twisting_conrey_index': 59, 'weight': 3}
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id: 7593844
{'conductor': 180, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 539, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 618525623082, 'source_is_minimal': False, 'source_label': '810.3.j.a.539.4', 'source_level': 810, 'target_conrey_index': 1889, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27021735253510256, 'target_is_minimal': False, 'target_label': '2160.3.c.g.1889.3', 'target_level': 2160, 'twist_class_label': '270.3.b.a.269.3', 'twist_class_level': 270, 'twisting_char_label': '180.139', 'twisting_conrey_index': 139, 'weight': 3}
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mf_hecke_charpolys • Show schema
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id: 1356975
{'charpoly_factorization': [[[4, 0, 2, 0, 1], 2]], 'hecke_orbit_code': 618525623082, 'p': 2}
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id: 1356976
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 618525623082, 'p': 3}
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id: 1356977
{'charpoly_factorization': [[[390625, 187500, 41250, 8400, 1859, 336, 66, 12, 1], 1]], 'hecke_orbit_code': 618525623082, 'p': 5}
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id: 1356978
{'charpoly_factorization': [[[15376, 0, -23312, 0, 35220, 0, -188, 0, 1], 1]], 'hecke_orbit_code': 618525623082, 'p': 7}
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id: 1356979
{'charpoly_factorization': [[[1284218896, 0, -13904368, 0, 114708, 0, -388, 0, 1], 1]], 'hecke_orbit_code': 618525623082, 'p': 11}
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id: 1356980
{'charpoly_factorization': [[[100881936, 0, -3254256, 0, 94932, 0, -324, 0, 1], 1]], 'hecke_orbit_code': 618525623082, 'p': 13}
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id: 1356981
{'charpoly_factorization': [[[-89, 6, 1], 4]], 'hecke_orbit_code': 618525623082, 'p': 17}
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id: 1356982
{'charpoly_factorization': [[[-9, 6, 1], 4]], 'hecke_orbit_code': 618525623082, 'p': 19}
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id: 1356983
{'charpoly_factorization': [[[27889, -5010, 1067, 30, 1], 2]], 'hecke_orbit_code': 618525623082, 'p': 23}
-
id: 1356984
{'charpoly_factorization': [[[661886382096, 0, -1845163152, 0, 4330260, 0, -2268, 0, 1], 1]], 'hecke_orbit_code': 618525623082, 'p': 29}
-
id: 1356985
{'charpoly_factorization': [[[25921, 5474, 1317, -34, 1], 2]], 'hecke_orbit_code': 618525623082, 'p': 31}
-
id: 1356986
{'charpoly_factorization': [[[2293504, 0, 5408, 0, 1], 2]], 'hecke_orbit_code': 618525623082, 'p': 37}
-
id: 1356987
{'charpoly_factorization': [[[4302835216, 0, -89997712, 0, 1816788, 0, -1372, 0, 1], 1]], 'hecke_orbit_code': 618525623082, 'p': 41}
-
id: 1356988
{'charpoly_factorization': [[[4302835216, 0, -113087504, 0, 2906580, 0, -1724, 0, 1], 1]], 'hecke_orbit_code': 618525623082, 'p': 43}
-
id: 1356989
{'charpoly_factorization': [[[10291264, -384960, 11192, -120, 1], 2]], 'hecke_orbit_code': 618525623082, 'p': 47}
-
id: 1356990
{'charpoly_factorization': [[[2439, -102, 1], 4]], 'hecke_orbit_code': 618525623082, 'p': 53}
-
id: 1356991
{'charpoly_factorization': [[[5416585950736, 0, -7158947056, 0, 7134420, 0, -3076, 0, 1], 1]], 'hecke_orbit_code': 618525623082, 'p': 59}
-
id: 1356992
{'charpoly_factorization': [[[1560001, -122402, 8355, -98, 1], 2]], 'hecke_orbit_code': 618525623082, 'p': 61}
-
id: 1356993
{'charpoly_factorization': [[[17171800290758656, 0, -3205792308224, 0, 467446080, 0, -24464, 0, 1], 1]], 'hecke_orbit_code': 618525623082, 'p': 67}
-
id: 1356994
{'charpoly_factorization': [[[53524476, 0, 15876, 0, 1], 2]], 'hecke_orbit_code': 618525623082, 'p': 71}
-
id: 1356995
{'charpoly_factorization': [[[35836, 0, 8036, 0, 1], 2]], 'hecke_orbit_code': 618525623082, 'p': 73}
-
id: 1356996
{'charpoly_factorization': [[[34963569, -532170, 14013, 90, 1], 2]], 'hecke_orbit_code': 618525623082, 'p': 79}
-
id: 1356997
{'charpoly_factorization': [[[35988001, -323946, 8915, 54, 1], 2]], 'hecke_orbit_code': 618525623082, 'p': 83}
-
id: 1356998
{'charpoly_factorization': [[[87702844, 0, 23548, 0, 1], 2]], 'hecke_orbit_code': 618525623082, 'p': 89}
-
id: 1356999
{'charpoly_factorization': [[[7088465290264576, 0, -1554539995136, 0, 256726272, 0, -18464, 0, 1], 1]], 'hecke_orbit_code': 618525623082, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 10, 'hecke_orbit': 1, 'label': '810.3.j.a', 'level': 810, 'portrait': 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', 'weight': 3}
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mf_hecke_traces • Show schema
Hide schema
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id: 10355412
{'hecke_orbit_code': 618525623082, 'n': 1, 'trace_an': 8}
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id: 10355413
{'hecke_orbit_code': 618525623082, 'n': 2, 'trace_an': 0}
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id: 10355414
{'hecke_orbit_code': 618525623082, 'n': 3, 'trace_an': 0}
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id: 10355415
{'hecke_orbit_code': 618525623082, 'n': 4, 'trace_an': -8}
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id: 10355416
{'hecke_orbit_code': 618525623082, 'n': 5, 'trace_an': -12}
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id: 10355417
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