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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': 1, 'hecke_orbit_code': 68769808654, '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': False, 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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: 576525
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 269, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68769808654, 'source_is_minimal': True, 'source_label': '270.3.b.a.269.1', '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': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 576526
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 269, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68769808654, 'source_is_minimal': True, 'source_label': '270.3.b.a.269.1', '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': '3.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 576527
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 269, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68769808654, 'source_is_minimal': True, 'source_label': '270.3.b.a.269.1', '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': '4.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 576528
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 269, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68769808654, 'source_is_minimal': True, 'source_label': '270.3.b.a.269.1', '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': '5.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 576529
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 269, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68769808654, 'source_is_minimal': True, 'source_label': '270.3.b.a.269.1', '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': '5.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 576530
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 269, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68769808654, 'source_is_minimal': True, 'source_label': '270.3.b.a.269.1', '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': '5.4', 'twisting_conrey_index': 4, 'weight': 3}
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id: 576531
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 269, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68769808654, 'source_is_minimal': True, 'source_label': '270.3.b.a.269.1', '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': '9.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 576532
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 269, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68769808654, 'source_is_minimal': True, 'source_label': '270.3.b.a.269.1', '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': '9.4', 'twisting_conrey_index': 4, 'weight': 3}
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id: 576533
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 269, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68769808654, 'source_is_minimal': True, 'source_label': '270.3.b.a.269.1', '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': '9.5', 'twisting_conrey_index': 5, 'weight': 3}
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id: 576534
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 269, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68769808654, 'source_is_minimal': True, 'source_label': '270.3.b.a.269.1', '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': '9.7', 'twisting_conrey_index': 7, 'weight': 3}
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id: 576535
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 269, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68769808654, 'source_is_minimal': True, 'source_label': '270.3.b.a.269.1', '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': '12.11', 'twisting_conrey_index': 11, 'weight': 3}
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id: 576536
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 269, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68769808654, 'source_is_minimal': True, 'source_label': '270.3.b.a.269.1', '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': '15.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 576537
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 269, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68769808654, 'source_is_minimal': True, 'source_label': '270.3.b.a.269.1', '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': '15.8', 'twisting_conrey_index': 8, 'weight': 3}
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id: 576538
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 269, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68769808654, 'source_is_minimal': True, 'source_label': '270.3.b.a.269.1', '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': '15.14', 'twisting_conrey_index': 14, 'weight': 3}
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id: 576539
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 269, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68769808654, 'source_is_minimal': True, 'source_label': '270.3.b.a.269.1', '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': '20.19', 'twisting_conrey_index': 19, 'weight': 3}
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id: 576540
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 269, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68769808654, 'source_is_minimal': True, 'source_label': '270.3.b.a.269.1', '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': '45.4', 'twisting_conrey_index': 4, 'weight': 3}
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id: 576541
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 269, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68769808654, 'source_is_minimal': True, 'source_label': '270.3.b.a.269.1', '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': '45.14', 'twisting_conrey_index': 14, 'weight': 3}
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id: 576542
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 269, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68769808654, 'source_is_minimal': True, 'source_label': '270.3.b.a.269.1', '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': '45.29', 'twisting_conrey_index': 29, 'weight': 3}
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id: 576543
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 269, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68769808654, 'source_is_minimal': True, 'source_label': '270.3.b.a.269.1', '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': '45.34', 'twisting_conrey_index': 34, 'weight': 3}
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id: 576544
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 269, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68769808654, 'source_is_minimal': True, 'source_label': '270.3.b.a.269.1', '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': '60.59', 'twisting_conrey_index': 59, 'weight': 3}
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mf_hecke_charpolys • Show schema
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id: 614925
{'charpoly_factorization': [[[-2, 0, 1], 2]], 'hecke_orbit_code': 68769808654, 'p': 2}
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id: 614926
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 68769808654, 'p': 3}
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id: 614927
{'charpoly_factorization': [[[625, 300, 78, 12, 1], 1]], 'hecke_orbit_code': 68769808654, 'p': 5}
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id: 614928
{'charpoly_factorization': [[[124, 0, 188, 0, 1], 1]], 'hecke_orbit_code': 68769808654, 'p': 7}
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id: 614929
{'charpoly_factorization': [[[35836, 0, 388, 0, 1], 1]], 'hecke_orbit_code': 68769808654, 'p': 11}
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id: 614930
{'charpoly_factorization': [[[10044, 0, 324, 0, 1], 1]], 'hecke_orbit_code': 68769808654, 'p': 13}
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id: 614931
{'charpoly_factorization': [[[-89, -6, 1], 2]], 'hecke_orbit_code': 68769808654, 'p': 17}
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id: 614932
{'charpoly_factorization': [[[-9, 6, 1], 2]], 'hecke_orbit_code': 68769808654, 'p': 19}
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id: 614933
{'charpoly_factorization': [[[-167, 30, 1], 2]], 'hecke_orbit_code': 68769808654, 'p': 23}
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id: 614934
{'charpoly_factorization': [[[813564, 0, 2268, 0, 1], 1]], 'hecke_orbit_code': 68769808654, 'p': 29}
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id: 614935
{'charpoly_factorization': [[[-161, 34, 1], 2]], 'hecke_orbit_code': 68769808654, 'p': 31}
-
id: 614936
{'charpoly_factorization': [[[2293504, 0, 5408, 0, 1], 1]], 'hecke_orbit_code': 68769808654, 'p': 37}
-
id: 614937
{'charpoly_factorization': [[[65596, 0, 1372, 0, 1], 1]], 'hecke_orbit_code': 68769808654, 'p': 41}
-
id: 614938
{'charpoly_factorization': [[[65596, 0, 1724, 0, 1], 1]], 'hecke_orbit_code': 68769808654, 'p': 43}
-
id: 614939
{'charpoly_factorization': [[[3208, -120, 1], 2]], 'hecke_orbit_code': 68769808654, 'p': 47}
-
id: 614940
{'charpoly_factorization': [[[2439, 102, 1], 2]], 'hecke_orbit_code': 68769808654, 'p': 53}
-
id: 614941
{'charpoly_factorization': [[[2327356, 0, 3076, 0, 1], 1]], 'hecke_orbit_code': 68769808654, 'p': 59}
-
id: 614942
{'charpoly_factorization': [[[1249, 98, 1], 2]], 'hecke_orbit_code': 68769808654, 'p': 61}
-
id: 614943
{'charpoly_factorization': [[[131041216, 0, 24464, 0, 1], 1]], 'hecke_orbit_code': 68769808654, 'p': 67}
-
id: 614944
{'charpoly_factorization': [[[53524476, 0, 15876, 0, 1], 1]], 'hecke_orbit_code': 68769808654, 'p': 71}
-
id: 614945
{'charpoly_factorization': [[[35836, 0, 8036, 0, 1], 1]], 'hecke_orbit_code': 68769808654, 'p': 73}
-
id: 614946
{'charpoly_factorization': [[[-5913, -90, 1], 2]], 'hecke_orbit_code': 68769808654, 'p': 79}
-
id: 614947
{'charpoly_factorization': [[[-5999, 54, 1], 2]], 'hecke_orbit_code': 68769808654, 'p': 83}
-
id: 614948
{'charpoly_factorization': [[[87702844, 0, 23548, 0, 1], 1]], 'hecke_orbit_code': 68769808654, 'p': 89}
-
id: 614949
{'charpoly_factorization': [[[84193024, 0, 18464, 0, 1], 1]], 'hecke_orbit_code': 68769808654, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 1, 'label': '270.3.b.a', 'level': 270, 'portrait': 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', 'weight': 3}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 4695631
{'hecke_orbit_code': 68769808654, 'n': 1, 'trace_an': 4}
-
id: 4695632
{'hecke_orbit_code': 68769808654, 'n': 2, 'trace_an': 0}
-
id: 4695633
{'hecke_orbit_code': 68769808654, 'n': 3, 'trace_an': 0}
-
id: 4695634
{'hecke_orbit_code': 68769808654, 'n': 4, 'trace_an': 8}
-
id: 4695635
{'hecke_orbit_code': 68769808654, 'n': 5, 'trace_an': -12}
-
id: 4695636
{'hecke_orbit_code': 68769808654, 'n': 6, 'trace_an': 0}
-
id: 4695637
{'hecke_orbit_code': 68769808654, 'n': 7, 'trace_an': 0}
-
id: 4695638
{'hecke_orbit_code': 68769808654, 'n': 8, 'trace_an': 0}
-
id: 4695639
{'hecke_orbit_code': 68769808654, 'n': 9, 'trace_an': 0}
-
id: 4695640
{'hecke_orbit_code': 68769808654, 'n': 10, 'trace_an': 8}
-
id: 4695641
{'hecke_orbit_code': 68769808654, 'n': 11, 'trace_an': 0}
-
id: 4695642
{'hecke_orbit_code': 68769808654, 'n': 12, 'trace_an': 0}
-
id: 4695643
{'hecke_orbit_code': 68769808654, 'n': 13, 'trace_an': 0}
-
id: 4695644
{'hecke_orbit_code': 68769808654, 'n': 14, 'trace_an': 0}
-
id: 4695645
{'hecke_orbit_code': 68769808654, 'n': 15, 'trace_an': 0}
-
id: 4695646
{'hecke_orbit_code': 68769808654, 'n': 16, 'trace_an': 16}
-
id: 4695647
{'hecke_orbit_code': 68769808654, 'n': 17, 'trace_an': 12}
-
id: 4695648
{'hecke_orbit_code': 68769808654, 'n': 18, 'trace_an': 0}
-
id: 4695649
{'hecke_orbit_code': 68769808654, 'n': 19, 'trace_an': -12}
-
id: 4695650
{'hecke_orbit_code': 68769808654, 'n': 20, 'trace_an': -24}
-
id: 4695651
{'hecke_orbit_code': 68769808654, 'n': 21, 'trace_an': 0}
-
id: 4695652
{'hecke_orbit_code': 68769808654, 'n': 22, 'trace_an': 0}
-
id: 4695653
{'hecke_orbit_code': 68769808654, 'n': 23, 'trace_an': -60}
-
id: 4695654
{'hecke_orbit_code': 68769808654, 'n': 24, 'trace_an': 0}
-
id: 4695655
{'hecke_orbit_code': 68769808654, 'n': 25, 'trace_an': -12}
-
id: 4695656
{'hecke_orbit_code': 68769808654, 'n': 26, 'trace_an': 0}
-
id: 4695657
{'hecke_orbit_code': 68769808654, 'n': 27, 'trace_an': 0}
-
id: 4695658
{'hecke_orbit_code': 68769808654, 'n': 28, 'trace_an': 0}
-
id: 4695659
{'hecke_orbit_code': 68769808654, 'n': 29, 'trace_an': 0}
-
id: 4695660
{'hecke_orbit_code': 68769808654, 'n': 30, 'trace_an': 0}
-
id: 4695661
{'hecke_orbit_code': 68769808654, 'n': 31, 'trace_an': -68}
-
id: 4695662
{'hecke_orbit_code': 68769808654, 'n': 32, 'trace_an': 0}
-
id: 4695663
{'hecke_orbit_code': 68769808654, 'n': 33, 'trace_an': 0}
-
id: 4695664
{'hecke_orbit_code': 68769808654, 'n': 34, 'trace_an': 56}
-
id: 4695665
{'hecke_orbit_code': 68769808654, 'n': 35, 'trace_an': -72}
-
id: 4695666
{'hecke_orbit_code': 68769808654, 'n': 36, 'trace_an': 0}
-
id: 4695667
{'hecke_orbit_code': 68769808654, 'n': 37, 'trace_an': 0}
-
id: 4695668
{'hecke_orbit_code': 68769808654, 'n': 38, 'trace_an': 24}
-
id: 4695669
{'hecke_orbit_code': 68769808654, 'n': 39, 'trace_an': 0}
-
id: 4695670
{'hecke_orbit_code': 68769808654, 'n': 40, 'trace_an': 16}
-
id: 4695671
{'hecke_orbit_code': 68769808654, 'n': 41, 'trace_an': 0}
-
id: 4695672
{'hecke_orbit_code': 68769808654, 'n': 42, 'trace_an': 0}
-
id: 4695673
{'hecke_orbit_code': 68769808654, 'n': 43, 'trace_an': 0}
-
id: 4695674
{'hecke_orbit_code': 68769808654, 'n': 44, 'trace_an': 0}
-
id: 4695675
{'hecke_orbit_code': 68769808654, 'n': 45, 'trace_an': 0}
-
id: 4695676
{'hecke_orbit_code': 68769808654, 'n': 46, 'trace_an': 112}
-
id: 4695677
{'hecke_orbit_code': 68769808654, 'n': 47, 'trace_an': 240}
-
id: 4695678
{'hecke_orbit_code': 68769808654, 'n': 48, 'trace_an': 0}
-
id: 4695679
{'hecke_orbit_code': 68769808654, 'n': 49, 'trace_an': -180}
-
id: 4695680
{'hecke_orbit_code': 68769808654, 'n': 50, 'trace_an': -96}
-
id: 4695681
{'hecke_orbit_code': 68769808654, 'n': 51, 'trace_an': 0}
-
id: 4695682
{'hecke_orbit_code': 68769808654, 'n': 52, 'trace_an': 0}
-
id: 4695683
{'hecke_orbit_code': 68769808654, 'n': 53, 'trace_an': -204}
-
id: 4695684
{'hecke_orbit_code': 68769808654, 'n': 54, 'trace_an': 0}
-
id: 4695685
{'hecke_orbit_code': 68769808654, 'n': 55, 'trace_an': -88}
-
id: 4695686
{'hecke_orbit_code': 68769808654, 'n': 56, 'trace_an': 0}
-
id: 4695687
{'hecke_orbit_code': 68769808654, 'n': 57, 'trace_an': 0}
-
id: 4695688
{'hecke_orbit_code': 68769808654, 'n': 58, 'trace_an': 0}
-
id: 4695689
{'hecke_orbit_code': 68769808654, 'n': 59, 'trace_an': 0}
-
id: 4695690
{'hecke_orbit_code': 68769808654, 'n': 60, 'trace_an': 0}
-
id: 4695691
{'hecke_orbit_code': 68769808654, 'n': 61, 'trace_an': -196}
-
id: 4695692
{'hecke_orbit_code': 68769808654, 'n': 62, 'trace_an': 120}
-
id: 4695693
{'hecke_orbit_code': 68769808654, 'n': 63, 'trace_an': 0}
-
id: 4695694
{'hecke_orbit_code': 68769808654, 'n': 64, 'trace_an': 32}
-
id: 4695695
{'hecke_orbit_code': 68769808654, 'n': 65, 'trace_an': 24}
-
id: 4695696
{'hecke_orbit_code': 68769808654, 'n': 66, 'trace_an': 0}
-
id: 4695697
{'hecke_orbit_code': 68769808654, 'n': 67, 'trace_an': 0}
-
id: 4695698
{'hecke_orbit_code': 68769808654, 'n': 68, 'trace_an': 24}
-
id: 4695699
{'hecke_orbit_code': 68769808654, 'n': 69, 'trace_an': 0}
-
id: 4695700
{'hecke_orbit_code': 68769808654, 'n': 70, 'trace_an': 80}
-
id: 4695701
{'hecke_orbit_code': 68769808654, 'n': 71, 'trace_an': 0}
-
id: 4695702
{'hecke_orbit_code': 68769808654, 'n': 72, 'trace_an': 0}
-
id: 4695703
{'hecke_orbit_code': 68769808654, 'n': 73, 'trace_an': 0}
-
id: 4695704
{'hecke_orbit_code': 68769808654, 'n': 74, 'trace_an': 0}
-
id: 4695705
{'hecke_orbit_code': 68769808654, 'n': 75, 'trace_an': 0}
-
id: 4695706
{'hecke_orbit_code': 68769808654, 'n': 76, 'trace_an': -24}
-
id: 4695707
{'hecke_orbit_code': 68769808654, 'n': 77, 'trace_an': 312}
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