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mf_newforms • Show schema
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{'Nk2': 7425, 'analytic_conductor': 22.479621809724495, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 55, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': -1, 'char_values': [825, 2, [551, 727, 376], [2, 1, 1]], 'cm_discs': [], 'conrey_index': 274, 'dim': 32, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [121, 0, -3244, 0, 12708, 0, -17932, 0, 11310, 0, -3364, 0, 500, 0, -36, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504080714040121, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0], [1, 1, 11, 2, -1, 2, 0], [1, 1, 55, 4, -1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '825.3.h.b', 'level': 825, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 7425, 'analytic_conductor': 22.479621809724495, 'char_conductor': 55, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': -1, 'char_values': [825, 2, [551, 727, 376], [2, 1, 1]], 'conrey_index': 274, 'cusp_dim': 228, 'dim': 72, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 481086669625, 'hecke_orbit_dims': [8, 32, 32], 'label': '825.3.h', 'level': 825, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 11], 'level_radical': 165, 'mf_dim': 252, 'mf_new_dim': 72, 'num_forms': 3, 'prim_orbit_index': 4, 'relative_dim': 72, 'sturm_bound': 360, 'trace_bound': 4, 'trace_display': [0, 0, 0, 0], 'traces': [72, 0, 0, 144, 0, 0, 0, 0, -216, 0, 36, 0, 0, 48, 0, 256, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 112, 0, 0, -208, 0, -432, 0, 0, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 1088, 0, 0, 0, 0, 0, 0, 280, 0, 0, -472, 0, 0, 0, 0, 304, 0, -48, 0, 0, -264, 0, -736, 0, 0, 0, 0, 0, 0, 0, 0, 0, 648, 0, 0, 0, 0, -240, 0, 0, 544, 0, 952, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 528, 0, 0, 0, 0, 0, 0, -576, 0, 0, 168, 0, 0, 0, 0, -1632, 0, 808, 0, 0, -1048, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 384, 0, 0, -768, 0, -176, 0, 0, 0, 0, 0, 0, 0, -672, 0, 0, 0, 0, -576, 0, 0, 0, 0, 0, 0, -3704, 0, 0, 440, 0, 0, 0, 0, 1440, 0, 3520, 0, 0, 1488, 0, -2328, 0, 0, 0, 0, 0, 0, 0, 0, 0, -808, 0, 0, 0, 0, 5984, 0, 0, -512, 0, 1536, 0, 0, 0, 0, 0, 0, 0, 2012, 0, 0, 0, 0, 744, 0, 0, 0, 0, 0, 0, -320, 0, 0, 5288, 0, 0, 0, 0, -2840, 0, -828, 0, 0, 120, 0, -8048, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2064, 0, 0, 0, 0, 1128, 0, 0, -4856, 0, 1792, 0, 0, 0, 0, 0, 0, 0, -2424, 0, 0, 0, 0, 600, 0, 0, 0, 0, 0, 0, -3768, 0, 0, -336, 0, 0, 0, 0, -4672, 0, 1344, 0, 0, 3304, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2056, 0, 0, 0, 0, 624, 0, 0, 2400, 0, -1184, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 1296, 0, 0, 0, 0, 0, 0, -1072, 0, 0, -2144, 0, 0, 0, 0, -1128, 0, 1540, 0, 0, -7496, 0, 392, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3736, 0, 0, 0, 0, -2504, 0, 0, 5120, 0, 3264, 0, 0, 0, 0, 0, 0, 0, -720, 0, 0, 0, 0, 520, 0, 0, 0, 0, 0, 0, 3768, 0, 0, -1264, 0, 0, 0, 0, 7736, 0, -312, 0, 0, 1488, 0, -1520, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 3440, 0, 0, 832, 0, 736, 0, 0, 0, 0, 0, 0, 0, 612, 0, 0, 0, 0, 4440, 0, 0, 0, 0, 0, 0, -3264, 0, 0, -4944, 0, 0, 0, 0, -5016, 0, 1272, 0, 0, -2776, 0, 3600, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5248, 0, 0, 0, 0, 528, 0, 0, 1800, 0, -10208, 0, 0, 0, 0, 0, 0, 0, -2880, 0, 0, 0, 0, -1728, 0, 0, 0, 0, 0, 0, -1592, 0, 0, 2888, 0, 0, 0, 0, -840, 0, -1760, 0, 0, 512, 0, 4720, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4616, 0, 0, 0, 0, -8928, 0, 0, 3152, 0, 1416, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 8008, 0, 0, 9072, 0, 0, 0, 0, -2752, 0, -1080, 0, 0, 3768, 0, 392, 0, 0, 0, 0, 0, 0, 0, 0, 0, -912, 0, 0, 0, 0, 10192, 0, 0, -3472, 0, 13024, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 2856, 0, 0, 0, 0, 0, 0, -2160, 0, 0, -5952, 0, 0, 0, 0, 8776, 0, -2176, 0, 0, -648, 0, 792, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5496, 0, 0, 0, 0, -4776, 0, 0, 2208, 0, -6560, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 768, 0, 0, 0, 0, 0, 0, -5152, 0, 0, -14824, 0, 0, 0, 0, 5712, 0, -2700, 0, 0, -9992, 0, 1208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3640, 0, 0, 0, 0, 6080, 0, 0, -1904, 0, 5424, 0, 0, 0, 0, 0, 0, 0, 17168, 0, 0, 0, 0, -7080, 0, 0, 0, 0, 0, 0, 15728, 0, 0, 5560, 0, 0, 0, 0, 2032, 0, 3144, 0, 0, -1944, 0, -15424, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2592, 0, 0, 0, 0, -2944, 0, 0, -12504, 0, 4584, 0, 0, 0, 0, 0, 0, 0, -3000, 0, 0, 0, 0, -8752, 0, 0, 0, 0, 0, 0, -1296, 0, 0, 720, 0, 0, 0, 0, -5752, 0, -14288, 0, 0, 11760, 0, 12048, 0, 0, 0, 0, 0, 0, 0, 0, 0, -15496, 0, 0, 0, 0, -1632, 0, 0, 15264, 0, -3392, 0, 0, 0, 0, 0, 0, 0, -17456, 0, 0, 0, 0, -2856, 0, 0, 0, 0, 0, 0, -15792, 0, 0, -7824, 0, 0, 0, 0, 13296, 0, 10672, 0, 0, 10504, 0, 8512, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7088, 0, 0, 0, 0, -7784, 0, 0, 15328, 0, 2760, 0, 0, 0, 0, 0, 0, 0, 5208, 0, 0, 0, 0, -24344, 0, 0, 0, 0, 0, 0, 12480, 0, 0, 21872, 0, 0, 0, 0, 6816, 0, 324, 0, 0, 3072, 0, 10824, 0, 0, 0, 0, 0, 0, 0, 0, 0, -432, 0, 0, 0, 0, -7944, 0, 0, -9072, 0, -23840, 0, 0, 0, 0, 0, 0, 0, -12000, 0, 0, 0, 0, 2224, 0, 0, 0, 0, 0, 0, -1584, 0, 0, -11712, 0, 0, 0, 0, -11280, 0, -2032, 0, 0, 8560, 0, 432, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7976, 0, 0, 0, 0, 3072, 0, 0, 4800, 0, -14880, 0, 0, 0, 0, 0, 0, 0, 6872, 0, 0, 0, 0, -11136, 0, 0, 0, 0, 0, 0, 5640, 0, 0, -11568, 0, 0, 0, 0, 1728, 0], 'weight': 3, 'weight_parity': -1}
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mf_twists_cc • Show schema
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id: 35674494
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 274, 'source_dim': 32, 'source_embedding_index': 13, 'source_hecke_orbit_code': 4504080714040121, 'source_is_minimal': False, 'source_label': '825.3.h.b.274.13', 'source_level': 825, 'target_conrey_index': 274, 'target_dim': 32, 'target_embedding_index': 13, 'target_hecke_orbit_code': 4504080714040121, 'target_is_minimal': False, 'target_label': '825.3.h.b.274.13', 'target_level': 825, 'twist_class_label': '165.3.b.a.76.7', 'twist_class_level': 165, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 35674495
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 274, 'source_dim': 32, 'source_embedding_index': 13, 'source_hecke_orbit_code': 4504080714040121, 'source_is_minimal': False, 'source_label': '825.3.h.b.274.13', 'source_level': 825, 'target_conrey_index': 76, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 13510867651920697, 'target_is_minimal': False, 'target_label': '825.3.b.d.76.7', 'target_level': 825, 'twist_class_label': '165.3.b.a.76.7', 'twist_class_level': 165, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 35674496
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 274, 'source_dim': 32, 'source_embedding_index': 13, 'source_hecke_orbit_code': 4504080714040121, 'source_is_minimal': False, 'source_label': '825.3.h.b.274.13', 'source_level': 825, 'target_conrey_index': 76, 'target_dim': 16, 'target_embedding_index': 10, 'target_hecke_orbit_code': 68769808549, 'target_is_minimal': True, 'target_label': '165.3.b.a.76.10', 'target_level': 165, 'twist_class_label': '165.3.b.a.76.7', 'twist_class_level': 165, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 35674497
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 274, 'source_dim': 32, 'source_embedding_index': 13, 'source_hecke_orbit_code': 4504080714040121, 'source_is_minimal': False, 'source_label': '825.3.h.b.274.13', 'source_level': 825, 'target_conrey_index': 274, 'target_dim': 32, 'target_embedding_index': 19, 'target_hecke_orbit_code': 4504080714040121, 'target_is_minimal': False, 'target_label': '825.3.h.b.274.19', 'target_level': 825, 'twist_class_label': '165.3.b.a.76.7', 'twist_class_level': 165, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 3}
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id: 35674498
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 274, 'source_dim': 32, 'source_embedding_index': 13, 'source_hecke_orbit_code': 4504080714040121, 'source_is_minimal': False, 'source_label': '825.3.h.b.274.13', 'source_level': 825, 'target_conrey_index': 274, 'target_dim': 32, 'target_embedding_index': 20, 'target_hecke_orbit_code': 4504080714040121, 'target_is_minimal': False, 'target_label': '825.3.h.b.274.20', 'target_level': 825, 'twist_class_label': '165.3.b.a.76.7', 'twist_class_level': 165, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 3}
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id: 35674499
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 274, 'source_dim': 32, 'source_embedding_index': 13, 'source_hecke_orbit_code': 4504080714040121, 'source_is_minimal': False, 'source_label': '825.3.h.b.274.13', 'source_level': 825, 'target_conrey_index': 406, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 9007268024549871, 'target_is_minimal': False, 'target_label': '495.3.b.c.406.7', 'target_level': 495, 'twist_class_label': '165.3.b.a.76.7', 'twist_class_level': 165, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 3}
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id: 35674500
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 274, 'source_dim': 32, 'source_embedding_index': 13, 'source_hecke_orbit_code': 4504080714040121, 'source_is_minimal': False, 'source_label': '825.3.h.b.274.13', 'source_level': 825, 'target_conrey_index': 241, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007336744028752, 'target_is_minimal': False, 'target_label': '2640.3.c.c.241.2', 'target_level': 2640, 'twist_class_label': '165.3.b.a.76.7', 'twist_class_level': 165, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 35674501
{'conductor': 55, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 274, 'source_dim': 32, 'source_embedding_index': 13, 'source_hecke_orbit_code': 4504080714040121, 'source_is_minimal': False, 'source_label': '825.3.h.b.274.13', 'source_level': 825, 'target_conrey_index': 76, 'target_dim': 16, 'target_embedding_index': 10, 'target_hecke_orbit_code': 13510867651920697, 'target_is_minimal': False, 'target_label': '825.3.b.d.76.10', 'target_level': 825, 'twist_class_label': '165.3.b.a.76.7', 'twist_class_level': 165, 'twisting_char_label': '55.32', 'twisting_conrey_index': 32, 'weight': 3}
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id: 35674502
{'conductor': 55, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 274, 'source_dim': 32, 'source_embedding_index': 13, 'source_hecke_orbit_code': 4504080714040121, 'source_is_minimal': False, 'source_label': '825.3.h.b.274.13', 'source_level': 825, 'target_conrey_index': 76, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 68769808549, 'target_is_minimal': True, 'target_label': '165.3.b.a.76.7', 'target_level': 165, 'twist_class_label': '165.3.b.a.76.7', 'twist_class_level': 165, 'twisting_char_label': '55.43', 'twisting_conrey_index': 43, 'weight': 3}
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id: 35674503
{'conductor': 55, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 274, 'source_dim': 32, 'source_embedding_index': 13, 'source_hecke_orbit_code': 4504080714040121, 'source_is_minimal': False, 'source_label': '825.3.h.b.274.13', 'source_level': 825, 'target_conrey_index': 274, 'target_dim': 32, 'target_embedding_index': 14, 'target_hecke_orbit_code': 4504080714040121, 'target_is_minimal': False, 'target_label': '825.3.h.b.274.14', 'target_level': 825, 'twist_class_label': '165.3.b.a.76.7', 'twist_class_level': 165, 'twisting_char_label': '55.54', 'twisting_conrey_index': 54, 'weight': 3}
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id: 35674504
{'conductor': 165, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 274, 'source_dim': 32, 'source_embedding_index': 13, 'source_hecke_orbit_code': 4504080714040121, 'source_is_minimal': False, 'source_label': '825.3.h.b.274.13', 'source_level': 825, 'target_conrey_index': 406, 'target_dim': 16, 'target_embedding_index': 10, 'target_hecke_orbit_code': 9007268024549871, 'target_is_minimal': False, 'target_label': '495.3.b.c.406.10', 'target_level': 495, 'twist_class_label': '165.3.b.a.76.7', 'twist_class_level': 165, 'twisting_char_label': '165.98', 'twisting_conrey_index': 98, 'weight': 3}
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id: 35674505
{'conductor': 220, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 274, 'source_dim': 32, 'source_embedding_index': 13, 'source_hecke_orbit_code': 4504080714040121, 'source_is_minimal': False, 'source_label': '825.3.h.b.274.13', 'source_level': 825, 'target_conrey_index': 241, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007336744028752, 'target_is_minimal': False, 'target_label': '2640.3.c.c.241.3', 'target_level': 2640, 'twist_class_label': '165.3.b.a.76.7', 'twist_class_level': 165, 'twisting_char_label': '220.43', 'twisting_conrey_index': 43, 'weight': 3}
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hecke_orbit_code 4504080714040121 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
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{'char_orbit_index': 8, 'hecke_orbit': 2, 'label': '825.3.h.b', 'level': 825, 'portrait': 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', 'weight': 3}
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mf_hecke_traces • Show schema
Hide schema
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id: 23127613
{'hecke_orbit_code': 4504080714040121, 'n': 1, 'trace_an': 32}
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id: 23127614
{'hecke_orbit_code': 4504080714040121, 'n': 2, 'trace_an': 0}
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id: 23127615
{'hecke_orbit_code': 4504080714040121, 'n': 3, 'trace_an': 0}
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id: 23127616
{'hecke_orbit_code': 4504080714040121, 'n': 4, 'trace_an': 16}
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id: 23127617
{'hecke_orbit_code': 4504080714040121, 'n': 5, 'trace_an': 0}
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id: 23127618
{'hecke_orbit_code': 4504080714040121, 'n': 6, 'trace_an': 0}
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id: 23127619
{'hecke_orbit_code': 4504080714040121, 'n': 7, 'trace_an': 0}
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id: 23127620
{'hecke_orbit_code': 4504080714040121, 'n': 8, 'trace_an': 0}
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