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mf_newforms • Show schema
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{'Nk2': 2430, 'analytic_conductor': 7.356967137728017, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 15, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': -1, 'char_values': [270, 2, [191, 217], [1, 1]], 'cm_discs': [], 'conrey_index': 269, 'dim': 4, 'field_disc': 31744, 'field_disc_factorization': [[2, 10], [31, 1]], 'field_poly': [31, 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, [124, 0, 188, 0, 1]], [17, [-89, 6, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510867651920142, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 15, 4, -1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 2430, 'analytic_conductor': 7.356967137728017, 'char_conductor': 15, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': -1, 'char_values': [270, 2, [191, 217], [1, 1]], 'conrey_index': 269, 'cusp_dim': 96, 'dim': 16, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 17], 'hecke_orbit_code': 68769808654, 'hecke_orbit_dims': [4, 4, 4, 4], 'label': '270.3.b', 'level': 270, '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': 120, 'mf_new_dim': 16, 'num_forms': 4, 'prim_orbit_index': 4, 'relative_dim': 16, 'sturm_bound': 162, 'trace_bound': 10, 'trace_display': [0, 0, 0, 0], 'traces': [16, 0, 0, 32, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 64, 0, 0, 48, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -8, 0, 0, 176, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 112, 0, 0, -552, 0, 0, 0, 0, 0, -136, 0, 0, 0, 0, 0, -400, 0, 0, 128, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, 96, 0, 0, 288, 0, 0, 0, 0, 0, -568, 0, 0, 0, 0, 0, 72, 0, 0, -224, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, -480, 0, 0, -88, 0, 0, 0, 0, 0, 928, 0, 0, 0, 0, 0, 176, 0, 0, -16, 0, 0, 0, 0, 0, -504, 0, 0, 0, 0, 0, 352, 0, 0, 488, 0, 0, 0, 0, 0, -504, 0, 0, 0, 0, 0, -344, 0, 0, -1424, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 16, 0, 0, 184, 0, 0, 0, 0, 0, 376, 0, 0, 0, 0, 0, 848, 0, 0, 224, 0, 0, 0, 0, 0, 312, 0, 0, 0, 0, 0, -1104, 0, 0, 1992, 0, 0, 0, 0, 0, 728, 0, 0, 0, 0, 0, 2976, 0, 0, 1200, 0, 0, 0, 0, 0, -272, 0, 0, 0, 0, 0, -144, 0, 0, -344, 0, 0, 0, 0, 0, -416, 0, 0, 0, 0, 0, -2048, 0, 0, -800, 0, 0, 0, 0, 0, -488, 0, 0, 0, 0, 0, 256, 0, 0, -952, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, -368, 0, 0, 1152, 0, 0, 0, 0, 0, 208, 0, 0, 0, 0, 0, 144, 0, 0, -1208, 0, 0, 0, 0, 0, 1808, 0, 0, 0, 0, 0, -80, 0, 0, 192, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 576, 0, 0, -1440, 0, 0, 0, 0, 0, -2376, 0, 0, 0, 0, 0, -1736, 0, 0, -1152, 0, 0, 0, 0, 0, -1136, 0, 0, 0, 0, 0, 176, 0, 0, -3424, 0, 0, 0, 0, 0, -936, 0, 0, 0, 0, 0, -3760, 0, 0, 144, 0, 0, 0, 0, 0, 2360, 0, 0, 0, 0, 0, -448, 0, 0, 1504, 0, 0, 0, 0, 0, -1256, 0, 0, 0, 0, 0, -392, 0, 0, 2992, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 3312, 0, 0, -272, 0, 0, 0, 0, 0, -1616, 0, 0, 0, 0, 0, 4480, 0, 0, -960, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, -176, 0, 0, 1656, 0, 0, 0, 0, 0, 5584, 0, 0, 0, 0, 0, -320, 0, 0, 1712, 0, 0, 0, 0, 0, 1856, 0, 0, 0, 0, 0, 32, 0, 0, 8536, 0, 0, 0, 0, 0, -792, 0, 0, 0, 0, 0, -2808, 0, 0, 352, 0, 0, 0, 0, 0, -1392, 0, 0, 0, 0, 0, -32, 0, 0, -3864, 0, 0, 0, 0, 0, -800, 0, 0, 0, 0, 0, 5752, 0, 0, -6864, 0, 0, 0, 0, 0, -1008, 0, 0, 0, 0, 0, -1376, 0, 0, -2168, 0, 0, 0, 0, 0, -3048, 0, 0, 0, 0, 0, 2440, 0, 0, 704, 0, 0, 0, 0, 0, 2672, 0, 0, 0, 0, 0, 976, 0, 0, 1008, 0, 0, 0, 0, 0, 4248, 0, 0, 0, 0, 0, -2816, 0, 0, 3472, 0, 0, 0, 0, 0, -1008, 0, 0, 0, 0, 0, -1536, 0, 0, 4584, 0, 0, 0, 0, 0, 2192, 0, 0, 0, 0, 0, 2984, 0, 0, -688, 0, 0, 0, 0, 0, -4232, 0, 0, 0, 0, 0, -2848, 0, 0, -9752, 0, 0, 0, 0, 0, -640, 0, 0, 0, 0, 0, -5536, 0, 0, -976, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, -1920, 0, 0, 1552, 0, 0, 0, 0, 0, -3936, 0, 0, 0, 0, 0, -1960, 0, 0, 32, 0, 0, 0, 0, 0, -1400, 0, 0, 0, 0, 0, 368, 0, 0, -248, 0, 0, 0, 0, 0, -2736, 0, 0, 0, 0, 0, 2104, 0, 0, -5328, 0, 0, 0, 0, 0, 752, 0, 0, 0, 0, 0, -4576, 0, 0, 4056, 0, 0, 0, 0, 0, 6552, 0, 0, 0, 0, 0, 680, 0, 0, 1696, 0, 0, 0, 0, 0, 2296, 0, 0, 0, 0, 0, 448, 0, 0, 7448, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 2048, 0, 0, -432, 0, 0, 0, 0, 0, 624, 0, 0, 0, 0, 0, 2240, 0, 0, -7488, 0, 0, 0, 0, 0, -3240, 0, 0, 0, 0, 0, 10080, 0, 0, -2208, 0, 0, 0, 0, 0, -7416, 0, 0, 0, 0, 0, 3984, 0, 0, -1088, 0, 0, 0, 0, 0, 3928, 0, 0, 0, 0, 0, -8288, 0, 0, 4816, 0, 0, 0, 0, 0, 1456, 0, 0, 0, 0, 0, 1024, 0, 0, 1176, 0, 0, 0, 0, 0, 3672, 0, 0, 0, 0, 0, -2096, 0, 0, 5952, 0, 0, 0, 0, 0, 2160, 0, 0, 0, 0, 0, 2400, 0, 0, 784, 0, 0, 0, 0, 0, -1432, 0, 0, 0, 0, 0, -7272, 0, 0, -1248, 0, 0, 0, 0, 0, -544, 0, 0, 0, 0, 0, -1248, 0, 0, -13888, 0, 0, 0, 0, 0, -3016, 0, 0, 0, 0, 0, 2184, 0, 0, -288, 0, 0, 0, 0, 0, 9576, 0, 0, 0, 0, 0, -688, 0, 0, 1392, 0, 0, 0, 0, 0, -5336, 0, 0, 0, 0, 0, 7128, 0, 0, 1344, 0, 0, 0, 0, 0, -832, 0, 0, 0, 0, 0, 4928, 0, 0, 10008, 0, 0, 0, 0, 0, -8640, 0, 0, 0, 0, 0, -2808, 0, 0, -4096, 0, 0, 0, 0, 0, 4216, 0, 0, 0, 0, 0, -1600, 0, 0, 1712, 0, 0, 0, 0, 0, 6904, 0, 0, 0, 0, 0, -4016, 0, 0, 6192, 0, 0, 0, 0, 0, -976], 'weight': 3, 'weight_parity': -1}
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mf_twists_cc • Show schema
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id: 43031418
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 269, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13510867651920142, 'source_is_minimal': True, 'source_label': '270.3.b.d.269.3', 'source_level': 270, 'target_conrey_index': 269, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13510867651920142, 'target_is_minimal': True, 'target_label': '270.3.b.d.269.3', 'target_level': 270, 'twist_class_label': '270.3.b.a.269.1', 'twist_class_level': 270, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 43031419
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 269, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13510867651920142, 'source_is_minimal': True, 'source_label': '270.3.b.d.269.3', 'source_level': 270, 'target_conrey_index': 269, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 68769808654, 'target_is_minimal': True, 'target_label': '270.3.b.a.269.2', 'target_level': 270, 'twist_class_label': '270.3.b.a.269.1', 'twist_class_level': 270, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 43031420
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 269, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13510867651920142, 'source_is_minimal': True, 'source_label': '270.3.b.d.269.3', 'source_level': 270, 'target_conrey_index': 1889, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 54043333017733232, 'target_is_minimal': False, 'target_label': '2160.3.c.m.1889.3', 'target_level': 2160, 'twist_class_label': '270.3.b.a.269.1', 'twist_class_level': 270, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 43031421
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 269, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13510867651920142, 'source_is_minimal': True, 'source_label': '270.3.b.d.269.3', 'source_level': 270, 'target_conrey_index': 701, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 63050600991950150, 'target_is_minimal': False, 'target_label': '1350.3.d.o.701.5', 'target_level': 1350, 'twist_class_label': '270.3.b.a.269.1', 'twist_class_level': 270, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 43031422
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 269, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13510867651920142, 'source_is_minimal': True, 'source_label': '270.3.b.d.269.3', 'source_level': 270, 'target_conrey_index': 701, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 63050600991950150, 'target_is_minimal': False, 'target_label': '1350.3.d.o.701.4', 'target_level': 1350, 'twist_class_label': '270.3.b.a.269.1', 'twist_class_level': 270, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 43031423
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 269, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13510867651920142, 'source_is_minimal': True, 'source_label': '270.3.b.d.269.3', 'source_level': 270, 'target_conrey_index': 269, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 68769808654, 'target_is_minimal': True, 'target_label': '270.3.b.a.269.1', 'target_level': 270, 'twist_class_label': '270.3.b.a.269.1', 'twist_class_level': 270, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 3}
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id: 43031424
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 269, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13510867651920142, 'source_is_minimal': True, 'source_label': '270.3.b.d.269.3', 'source_level': 270, 'target_conrey_index': 539, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22518616662475562, 'target_is_minimal': False, 'target_label': '810.3.j.f.539.3', 'target_level': 810, 'twist_class_label': '270.3.b.a.269.1', 'twist_class_level': 270, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 43031425
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 269, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13510867651920142, 'source_is_minimal': True, 'source_label': '270.3.b.d.269.3', 'source_level': 270, 'target_conrey_index': 269, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 618525623082, 'target_is_minimal': False, 'target_label': '810.3.j.a.269.1', 'target_level': 810, 'twist_class_label': '270.3.b.a.269.1', 'twist_class_level': 270, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 3}
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id: 43031426
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 269, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13510867651920142, 'source_is_minimal': True, 'source_label': '270.3.b.d.269.3', 'source_level': 270, 'target_conrey_index': 269, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518616662475562, 'target_is_minimal': False, 'target_label': '810.3.j.f.269.4', 'target_level': 810, 'twist_class_label': '270.3.b.a.269.1', 'twist_class_level': 270, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 3}
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id: 43031427
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 269, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13510867651920142, 'source_is_minimal': True, 'source_label': '270.3.b.d.269.3', 'source_level': 270, 'target_conrey_index': 539, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 618525623082, 'target_is_minimal': False, 'target_label': '810.3.j.a.539.2', 'target_level': 810, 'twist_class_label': '270.3.b.a.269.1', 'twist_class_level': 270, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 3}
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id: 43031428
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 269, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13510867651920142, 'source_is_minimal': True, 'source_label': '270.3.b.d.269.3', 'source_level': 270, 'target_conrey_index': 1889, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021735253510256, 'target_is_minimal': False, 'target_label': '2160.3.c.g.1889.2', 'target_level': 2160, 'twist_class_label': '270.3.b.a.269.1', 'twist_class_level': 270, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 3}
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id: 43031429
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 269, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13510867651920142, 'source_is_minimal': True, 'source_label': '270.3.b.d.269.3', 'source_level': 270, 'target_conrey_index': 701, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050600991950150, 'target_is_minimal': False, 'target_label': '1350.3.d.o.701.1', 'target_level': 1350, 'twist_class_label': '270.3.b.a.269.1', 'twist_class_level': 270, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 43031430
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 269, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13510867651920142, 'source_is_minimal': True, 'source_label': '270.3.b.d.269.3', 'source_level': 270, 'target_conrey_index': 701, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 63050600991950150, 'target_is_minimal': False, 'target_label': '1350.3.d.o.701.8', 'target_level': 1350, 'twist_class_label': '270.3.b.a.269.1', 'twist_class_level': 270, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 3}
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id: 43031431
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 269, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13510867651920142, 'source_is_minimal': True, 'source_label': '270.3.b.d.269.3', 'source_level': 270, 'target_conrey_index': 269, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13510867651920142, 'target_is_minimal': True, 'target_label': '270.3.b.d.269.4', 'target_level': 270, 'twist_class_label': '270.3.b.a.269.1', 'twist_class_level': 270, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 3}
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id: 43031432
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 269, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13510867651920142, 'source_is_minimal': True, 'source_label': '270.3.b.d.269.3', 'source_level': 270, 'target_conrey_index': 1889, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021735253510256, 'target_is_minimal': False, 'target_label': '2160.3.c.g.1889.1', 'target_level': 2160, 'twist_class_label': '270.3.b.a.269.1', 'twist_class_level': 270, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 3}
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id: 43031433
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 269, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13510867651920142, 'source_is_minimal': True, 'source_label': '270.3.b.d.269.3', 'source_level': 270, 'target_conrey_index': 269, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22518616662475562, 'target_is_minimal': False, 'target_label': '810.3.j.f.269.3', 'target_level': 810, 'twist_class_label': '270.3.b.a.269.1', 'twist_class_level': 270, 'twisting_char_label': '45.4', 'twisting_conrey_index': 4, 'weight': 3}
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id: 43031434
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 269, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13510867651920142, 'source_is_minimal': True, 'source_label': '270.3.b.d.269.3', 'source_level': 270, 'target_conrey_index': 269, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 618525623082, 'target_is_minimal': False, 'target_label': '810.3.j.a.269.2', 'target_level': 810, 'twist_class_label': '270.3.b.a.269.1', 'twist_class_level': 270, 'twisting_char_label': '45.14', 'twisting_conrey_index': 14, 'weight': 3}
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id: 43031435
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 269, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13510867651920142, 'source_is_minimal': True, 'source_label': '270.3.b.d.269.3', 'source_level': 270, 'target_conrey_index': 539, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 618525623082, 'target_is_minimal': False, 'target_label': '810.3.j.a.539.1', 'target_level': 810, 'twist_class_label': '270.3.b.a.269.1', 'twist_class_level': 270, 'twisting_char_label': '45.29', 'twisting_conrey_index': 29, 'weight': 3}
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id: 43031436
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 269, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13510867651920142, 'source_is_minimal': True, 'source_label': '270.3.b.d.269.3', 'source_level': 270, 'target_conrey_index': 539, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518616662475562, 'target_is_minimal': False, 'target_label': '810.3.j.f.539.4', 'target_level': 810, 'twist_class_label': '270.3.b.a.269.1', 'twist_class_level': 270, 'twisting_char_label': '45.34', 'twisting_conrey_index': 34, 'weight': 3}
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id: 43031437
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 269, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13510867651920142, 'source_is_minimal': True, 'source_label': '270.3.b.d.269.3', 'source_level': 270, 'target_conrey_index': 1889, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 54043333017733232, 'target_is_minimal': False, 'target_label': '2160.3.c.m.1889.4', 'target_level': 2160, 'twist_class_label': '270.3.b.a.269.1', 'twist_class_level': 270, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 3}
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mf_hecke_charpolys • Show schema
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id: 615000
{'charpoly_factorization': [[[-2, 0, 1], 2]], 'hecke_orbit_code': 13510867651920142, 'p': 2}
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id: 615001
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 13510867651920142, 'p': 3}
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id: 615002
{'charpoly_factorization': [[[625, -300, 78, -12, 1], 1]], 'hecke_orbit_code': 13510867651920142, 'p': 5}
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id: 615003
{'charpoly_factorization': [[[124, 0, 188, 0, 1], 1]], 'hecke_orbit_code': 13510867651920142, 'p': 7}
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id: 615004
{'charpoly_factorization': [[[35836, 0, 388, 0, 1], 1]], 'hecke_orbit_code': 13510867651920142, 'p': 11}
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id: 615005
{'charpoly_factorization': [[[10044, 0, 324, 0, 1], 1]], 'hecke_orbit_code': 13510867651920142, 'p': 13}
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id: 615006
{'charpoly_factorization': [[[-89, 6, 1], 2]], 'hecke_orbit_code': 13510867651920142, 'p': 17}
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id: 615007
{'charpoly_factorization': [[[-9, 6, 1], 2]], 'hecke_orbit_code': 13510867651920142, 'p': 19}
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id: 615008
{'charpoly_factorization': [[[-167, -30, 1], 2]], 'hecke_orbit_code': 13510867651920142, 'p': 23}
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id: 615009
{'charpoly_factorization': [[[813564, 0, 2268, 0, 1], 1]], 'hecke_orbit_code': 13510867651920142, 'p': 29}
-
id: 615010
{'charpoly_factorization': [[[-161, 34, 1], 2]], 'hecke_orbit_code': 13510867651920142, 'p': 31}
-
id: 615011
{'charpoly_factorization': [[[2293504, 0, 5408, 0, 1], 1]], 'hecke_orbit_code': 13510867651920142, 'p': 37}
-
id: 615012
{'charpoly_factorization': [[[65596, 0, 1372, 0, 1], 1]], 'hecke_orbit_code': 13510867651920142, 'p': 41}
-
id: 615013
{'charpoly_factorization': [[[65596, 0, 1724, 0, 1], 1]], 'hecke_orbit_code': 13510867651920142, 'p': 43}
-
id: 615014
{'charpoly_factorization': [[[3208, 120, 1], 2]], 'hecke_orbit_code': 13510867651920142, 'p': 47}
-
id: 615015
{'charpoly_factorization': [[[2439, -102, 1], 2]], 'hecke_orbit_code': 13510867651920142, 'p': 53}
-
id: 615016
{'charpoly_factorization': [[[2327356, 0, 3076, 0, 1], 1]], 'hecke_orbit_code': 13510867651920142, 'p': 59}
-
id: 615017
{'charpoly_factorization': [[[1249, 98, 1], 2]], 'hecke_orbit_code': 13510867651920142, 'p': 61}
-
id: 615018
{'charpoly_factorization': [[[131041216, 0, 24464, 0, 1], 1]], 'hecke_orbit_code': 13510867651920142, 'p': 67}
-
id: 615019
{'charpoly_factorization': [[[53524476, 0, 15876, 0, 1], 1]], 'hecke_orbit_code': 13510867651920142, 'p': 71}
-
id: 615020
{'charpoly_factorization': [[[35836, 0, 8036, 0, 1], 1]], 'hecke_orbit_code': 13510867651920142, 'p': 73}
-
id: 615021
{'charpoly_factorization': [[[-5913, -90, 1], 2]], 'hecke_orbit_code': 13510867651920142, 'p': 79}
-
id: 615022
{'charpoly_factorization': [[[-5999, -54, 1], 2]], 'hecke_orbit_code': 13510867651920142, 'p': 83}
-
id: 615023
{'charpoly_factorization': [[[87702844, 0, 23548, 0, 1], 1]], 'hecke_orbit_code': 13510867651920142, 'p': 89}
-
id: 615024
{'charpoly_factorization': [[[84193024, 0, 18464, 0, 1], 1]], 'hecke_orbit_code': 13510867651920142, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 4, 'label': '270.3.b.d', 'level': 270, 'portrait': 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', 'weight': 3}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 35887777
{'hecke_orbit_code': 13510867651920142, 'n': 1, 'trace_an': 4}
-
id: 35887778
{'hecke_orbit_code': 13510867651920142, 'n': 2, 'trace_an': 0}
-
id: 35887779
{'hecke_orbit_code': 13510867651920142, 'n': 3, 'trace_an': 0}
-
id: 35887780
{'hecke_orbit_code': 13510867651920142, 'n': 4, 'trace_an': 8}
-
id: 35887781
{'hecke_orbit_code': 13510867651920142, 'n': 5, 'trace_an': 12}
-
id: 35887782
{'hecke_orbit_code': 13510867651920142, 'n': 6, 'trace_an': 0}
-
id: 35887783
{'hecke_orbit_code': 13510867651920142, 'n': 7, 'trace_an': 0}
-
id: 35887784
{'hecke_orbit_code': 13510867651920142, 'n': 8, 'trace_an': 0}
-
id: 35887785
{'hecke_orbit_code': 13510867651920142, 'n': 9, 'trace_an': 0}
-
id: 35887786
{'hecke_orbit_code': 13510867651920142, 'n': 10, 'trace_an': 8}
-
id: 35887787
{'hecke_orbit_code': 13510867651920142, 'n': 11, 'trace_an': 0}
-
id: 35887788
{'hecke_orbit_code': 13510867651920142, 'n': 12, 'trace_an': 0}
-
id: 35887789
{'hecke_orbit_code': 13510867651920142, 'n': 13, 'trace_an': 0}
-
id: 35887790
{'hecke_orbit_code': 13510867651920142, 'n': 14, 'trace_an': 0}
-
id: 35887791
{'hecke_orbit_code': 13510867651920142, 'n': 15, 'trace_an': 0}
-
id: 35887792
{'hecke_orbit_code': 13510867651920142, 'n': 16, 'trace_an': 16}
-
id: 35887793
{'hecke_orbit_code': 13510867651920142, 'n': 17, 'trace_an': -12}
-
id: 35887794
{'hecke_orbit_code': 13510867651920142, 'n': 18, 'trace_an': 0}
-
id: 35887795
{'hecke_orbit_code': 13510867651920142, 'n': 19, 'trace_an': -12}
-
id: 35887796
{'hecke_orbit_code': 13510867651920142, 'n': 20, 'trace_an': 24}
-
id: 35887797
{'hecke_orbit_code': 13510867651920142, 'n': 21, 'trace_an': 0}
-
id: 35887798
{'hecke_orbit_code': 13510867651920142, 'n': 22, 'trace_an': 0}
-
id: 35887799
{'hecke_orbit_code': 13510867651920142, 'n': 23, 'trace_an': 60}
-
id: 35887800
{'hecke_orbit_code': 13510867651920142, 'n': 24, 'trace_an': 0}
-
id: 35887801
{'hecke_orbit_code': 13510867651920142, 'n': 25, 'trace_an': -12}
-
id: 35887802
{'hecke_orbit_code': 13510867651920142, 'n': 26, 'trace_an': 0}
-
id: 35887803
{'hecke_orbit_code': 13510867651920142, 'n': 27, 'trace_an': 0}
-
id: 35887804
{'hecke_orbit_code': 13510867651920142, 'n': 28, 'trace_an': 0}
-
id: 35887805
{'hecke_orbit_code': 13510867651920142, 'n': 29, 'trace_an': 0}
-
id: 35887806
{'hecke_orbit_code': 13510867651920142, 'n': 30, 'trace_an': 0}
-
id: 35887807
{'hecke_orbit_code': 13510867651920142, 'n': 31, 'trace_an': -68}
-
id: 35887808
{'hecke_orbit_code': 13510867651920142, 'n': 32, 'trace_an': 0}
-
id: 35887809
{'hecke_orbit_code': 13510867651920142, 'n': 33, 'trace_an': 0}
-
id: 35887810
{'hecke_orbit_code': 13510867651920142, 'n': 34, 'trace_an': 56}
-
id: 35887811
{'hecke_orbit_code': 13510867651920142, 'n': 35, 'trace_an': 72}
-
id: 35887812
{'hecke_orbit_code': 13510867651920142, 'n': 36, 'trace_an': 0}
-
id: 35887813
{'hecke_orbit_code': 13510867651920142, 'n': 37, 'trace_an': 0}
-
id: 35887814
{'hecke_orbit_code': 13510867651920142, 'n': 38, 'trace_an': -24}
-
id: 35887815
{'hecke_orbit_code': 13510867651920142, 'n': 39, 'trace_an': 0}
-
id: 35887816
{'hecke_orbit_code': 13510867651920142, 'n': 40, 'trace_an': 16}
-
id: 35887817
{'hecke_orbit_code': 13510867651920142, 'n': 41, 'trace_an': 0}
-
id: 35887818
{'hecke_orbit_code': 13510867651920142, 'n': 42, 'trace_an': 0}
-
id: 35887819
{'hecke_orbit_code': 13510867651920142, 'n': 43, 'trace_an': 0}
-
id: 35887820
{'hecke_orbit_code': 13510867651920142, 'n': 44, 'trace_an': 0}
-
id: 35887821
{'hecke_orbit_code': 13510867651920142, 'n': 45, 'trace_an': 0}
-
id: 35887822
{'hecke_orbit_code': 13510867651920142, 'n': 46, 'trace_an': 112}
-
id: 35887823
{'hecke_orbit_code': 13510867651920142, 'n': 47, 'trace_an': -240}
-
id: 35887824
{'hecke_orbit_code': 13510867651920142, 'n': 48, 'trace_an': 0}
-
id: 35887825
{'hecke_orbit_code': 13510867651920142, 'n': 49, 'trace_an': -180}
-
id: 35887826
{'hecke_orbit_code': 13510867651920142, 'n': 50, 'trace_an': 96}
-
id: 35887827
{'hecke_orbit_code': 13510867651920142, 'n': 51, 'trace_an': 0}
-
id: 35887828
{'hecke_orbit_code': 13510867651920142, 'n': 52, 'trace_an': 0}
-
id: 35887829
{'hecke_orbit_code': 13510867651920142, 'n': 53, 'trace_an': 204}
-
id: 35887830
{'hecke_orbit_code': 13510867651920142, 'n': 54, 'trace_an': 0}
-
id: 35887831
{'hecke_orbit_code': 13510867651920142, 'n': 55, 'trace_an': -88}
-
id: 35887832
{'hecke_orbit_code': 13510867651920142, 'n': 56, 'trace_an': 0}
-
id: 35887833
{'hecke_orbit_code': 13510867651920142, 'n': 57, 'trace_an': 0}
-
id: 35887834
{'hecke_orbit_code': 13510867651920142, 'n': 58, 'trace_an': 0}
-
id: 35887835
{'hecke_orbit_code': 13510867651920142, 'n': 59, 'trace_an': 0}
-
id: 35887836
{'hecke_orbit_code': 13510867651920142, 'n': 60, 'trace_an': 0}
-
id: 35887837
{'hecke_orbit_code': 13510867651920142, 'n': 61, 'trace_an': -196}
-
id: 35887838
{'hecke_orbit_code': 13510867651920142, 'n': 62, 'trace_an': -120}
-
id: 35887839
{'hecke_orbit_code': 13510867651920142, 'n': 63, 'trace_an': 0}
-
id: 35887840
{'hecke_orbit_code': 13510867651920142, 'n': 64, 'trace_an': 32}
-
id: 35887841
{'hecke_orbit_code': 13510867651920142, 'n': 65, 'trace_an': -24}
-
id: 35887842
{'hecke_orbit_code': 13510867651920142, 'n': 66, 'trace_an': 0}
-
id: 35887843
{'hecke_orbit_code': 13510867651920142, 'n': 67, 'trace_an': 0}
-
id: 35887844
{'hecke_orbit_code': 13510867651920142, 'n': 68, 'trace_an': -24}
-
id: 35887845
{'hecke_orbit_code': 13510867651920142, 'n': 69, 'trace_an': 0}
-
id: 35887846
{'hecke_orbit_code': 13510867651920142, 'n': 70, 'trace_an': 80}
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