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mf_newforms • Show schema
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{'Nk2': 6480, 'analytic_conductor': 23.89577355232495, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [405, 3, [326, 82], [2, 3]], 'cm_discs': [], 'conrey_index': 136, 'conrey_indexes': [136, 271], 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [16, 4, 1]], [7, [36, 6, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007474199757205, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 6480, 'analytic_conductor': 23.89577355232495, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [405, 3, [326, 82], [2, 3]], 'conrey_index': 136, 'cusp_dim': 300, 'dim': 96, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 274945016213, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 12, 12], 'label': '405.4.e', 'level': 405, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 348, 'mf_new_dim': 96, 'num_forms': 24, 'prim_orbit_index': 3, 'relative_dim': 48, 'sturm_bound': 216, 'trace_bound': 7, 'trace_display': [0, 0, 0, -60], 'traces': [96, 0, 0, -192, 0, 0, -60, 0, 0, 0, 0, 0, 120, 0, 0, -768, 0, 0, -960, 0, 0, 72, 0, 0, -1200, 0, 0, 1920, 0, 0, -600, 0, 0, -1350, 0, 0, -1680, 0, 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mf_twists_cc • Show schema
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id: 40861879
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757205, 'source_is_minimal': False, 'source_label': '405.4.e.c.271.1', 'source_level': 405, 'target_conrey_index': 271, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474199757205, 'target_is_minimal': False, 'target_label': '405.4.e.c.271.1', 'target_level': 405, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 40861880
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757205, 'source_is_minimal': False, 'source_label': '405.4.e.c.271.1', 'source_level': 405, 'target_conrey_index': 271, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539870846091669, 'target_is_minimal': False, 'target_label': '405.4.e.l.271.1', 'target_level': 405, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 40861881
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757205, 'source_is_minimal': False, 'source_label': '405.4.e.c.271.1', 'source_level': 405, 'target_conrey_index': 136, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539870846091669, 'target_is_minimal': False, 'target_label': '405.4.e.l.136.1', 'target_level': 405, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 40861882
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757205, 'source_is_minimal': False, 'source_label': '405.4.e.c.271.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798949220397, 'target_is_minimal': False, 'target_label': '45.4.a.d.1.1', 'target_level': 45, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 40861883
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757205, 'source_is_minimal': False, 'source_label': '405.4.e.c.271.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67108869, 'target_is_minimal': True, 'target_label': '5.4.a.a.1.1', 'target_level': 5, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 40861884
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757205, 'source_is_minimal': False, 'source_label': '405.4.e.c.271.1', 'source_level': 405, 'target_conrey_index': 136, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474199757205, 'target_is_minimal': False, 'target_label': '405.4.e.c.136.1', 'target_level': 405, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 4}
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id: 40861885
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757205, 'source_is_minimal': False, 'source_label': '405.4.e.c.271.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798949220432, 'target_is_minimal': False, 'target_label': '80.4.a.d.1.1', 'target_level': 80, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '36.23', 'twisting_conrey_index': 23, 'weight': 4}
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id: 40861886
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757205, 'source_is_minimal': False, 'source_label': '405.4.e.c.271.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90071992614519504, 'target_is_minimal': False, 'target_label': '720.4.a.u.1.1', 'target_level': 720, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '36.31', 'twisting_conrey_index': 31, 'weight': 4}
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id: 40861887
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757205, 'source_is_minimal': False, 'source_label': '405.4.e.c.271.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599694479585, 'target_is_minimal': False, 'target_label': '225.4.a.b.1.1', 'target_level': 225, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '45.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 40861888
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757205, 'source_is_minimal': False, 'source_label': '405.4.e.c.271.1', 'source_level': 405, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007268041326817, 'target_is_minimal': False, 'target_label': '225.4.b.c.199.1', 'target_level': 225, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '45.13', 'twisting_conrey_index': 13, 'weight': 4}
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id: 40861889
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757205, 'source_is_minimal': False, 'source_label': '405.4.e.c.271.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199321849881, 'target_is_minimal': False, 'target_label': '25.4.a.c.1.1', 'target_level': 25, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '45.14', 'twisting_conrey_index': 14, 'weight': 4}
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id: 40861890
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757205, 'source_is_minimal': False, 'source_label': '405.4.e.c.271.1', 'source_level': 405, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007268041326817, 'target_is_minimal': False, 'target_label': '225.4.b.c.199.2', 'target_level': 225, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '45.22', 'twisting_conrey_index': 22, 'weight': 4}
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id: 40861891
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757205, 'source_is_minimal': False, 'source_label': '405.4.e.c.271.1', 'source_level': 405, 'target_conrey_index': 24, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 68786585625, 'target_is_minimal': False, 'target_label': '25.4.b.a.24.2', 'target_level': 25, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '45.23', 'twisting_conrey_index': 23, 'weight': 4}
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id: 40861892
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757205, 'source_is_minimal': False, 'source_label': '405.4.e.c.271.1', 'source_level': 405, 'target_conrey_index': 24, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 68786585625, 'target_is_minimal': False, 'target_label': '25.4.b.a.24.1', 'target_level': 25, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 4}
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id: 40861893
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757205, 'source_is_minimal': False, 'source_label': '405.4.e.c.271.1', 'source_level': 405, 'target_conrey_index': 116, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021872709239029, 'target_is_minimal': False, 'target_label': '245.4.e.g.116.1', 'target_level': 245, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '63.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 40861894
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757205, 'source_is_minimal': False, 'source_label': '405.4.e.c.271.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057594105039005, 'target_is_minimal': False, 'target_label': '2205.4.a.q.1.1', 'target_level': 2205, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '63.13', 'twisting_conrey_index': 13, 'weight': 4}
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id: 40861895
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757205, 'source_is_minimal': False, 'source_label': '405.4.e.c.271.1', 'source_level': 405, 'target_conrey_index': 116, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518273081868533, 'target_is_minimal': False, 'target_label': '245.4.e.f.116.1', 'target_level': 245, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '63.23', 'twisting_conrey_index': 23, 'weight': 4}
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id: 40861896
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757205, 'source_is_minimal': False, 'source_label': '405.4.e.c.271.1', 'source_level': 405, 'target_conrey_index': 226, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518273081868533, 'target_is_minimal': False, 'target_label': '245.4.e.f.226.1', 'target_level': 245, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '63.32', 'twisting_conrey_index': 32, 'weight': 4}
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id: 40861897
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757205, 'source_is_minimal': False, 'source_label': '405.4.e.c.271.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67109109, 'target_is_minimal': False, 'target_label': '245.4.a.a.1.1', 'target_level': 245, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '63.41', 'twisting_conrey_index': 41, 'weight': 4}
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id: 40861898
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757205, 'source_is_minimal': False, 'source_label': '405.4.e.c.271.1', 'source_level': 405, 'target_conrey_index': 226, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021872709239029, 'target_is_minimal': False, 'target_label': '245.4.e.g.226.1', 'target_level': 245, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '63.59', 'twisting_conrey_index': 59, 'weight': 4}
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id: 40861899
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757205, 'source_is_minimal': False, 'source_label': '405.4.e.c.271.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597831332160, 'target_is_minimal': False, 'target_label': '320.4.a.g.1.1', 'target_level': 320, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '72.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 40861900
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757205, 'source_is_minimal': False, 'source_label': '405.4.e.c.271.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197458702656, 'target_is_minimal': False, 'target_label': '320.4.a.h.1.1', 'target_level': 320, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '72.59', 'twisting_conrey_index': 59, 'weight': 4}
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id: 40861901
{'conductor': 99, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757205, 'source_is_minimal': False, 'source_label': '405.4.e.c.271.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798949220957, 'target_is_minimal': False, 'target_label': '605.4.a.d.1.1', 'target_level': 605, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '99.32', 'twisting_conrey_index': 32, 'weight': 4}
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id: 40861902
{'conductor': 117, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757205, 'source_is_minimal': False, 'source_label': '405.4.e.c.271.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599694480205, 'target_is_minimal': False, 'target_label': '845.4.a.b.1.1', 'target_level': 845, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '117.77', 'twisting_conrey_index': 77, 'weight': 4}
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id: 40861903
{'conductor': 144, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757205, 'source_is_minimal': False, 'source_label': '405.4.e.c.271.1', 'source_level': 405, 'target_conrey_index': 641, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014604735022336, 'target_is_minimal': False, 'target_label': '1280.4.d.e.641.1', 'target_level': 1280, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '144.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 40861904
{'conductor': 144, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757205, 'source_is_minimal': False, 'source_label': '405.4.e.c.271.1', 'source_level': 405, 'target_conrey_index': 641, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49539802126615808, 'target_is_minimal': False, 'target_label': '1280.4.d.l.641.2', 'target_level': 1280, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '144.59', 'twisting_conrey_index': 59, 'weight': 4}
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id: 40861905
{'conductor': 144, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757205, 'source_is_minimal': False, 'source_label': '405.4.e.c.271.1', 'source_level': 405, 'target_conrey_index': 641, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014604735022336, 'target_is_minimal': False, 'target_label': '1280.4.d.e.641.2', 'target_level': 1280, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '144.77', 'twisting_conrey_index': 77, 'weight': 4}
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id: 40861906
{'conductor': 144, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757205, 'source_is_minimal': False, 'source_label': '405.4.e.c.271.1', 'source_level': 405, 'target_conrey_index': 641, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539802126615808, 'target_is_minimal': False, 'target_label': '1280.4.d.l.641.1', 'target_level': 1280, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '144.131', 'twisting_conrey_index': 131, 'weight': 4}
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id: 40861907
{'conductor': 153, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757205, 'source_is_minimal': False, 'source_label': '405.4.e.c.271.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67110309, 'target_is_minimal': False, 'target_label': '1445.4.a.a.1.1', 'target_level': 1445, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '153.50', 'twisting_conrey_index': 50, 'weight': 4}
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id: 40861908
{'conductor': 171, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757205, 'source_is_minimal': False, 'source_label': '405.4.e.c.271.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197458704141, 'target_is_minimal': False, 'target_label': '1805.4.a.h.1.1', 'target_level': 1805, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '171.113', 'twisting_conrey_index': 113, 'weight': 4}
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id: 40861909
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757205, 'source_is_minimal': False, 'source_label': '405.4.e.c.271.1', 'source_level': 405, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036133779767696, 'target_is_minimal': False, 'target_label': '400.4.c.k.49.1', 'target_level': 400, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '180.23', 'twisting_conrey_index': 23, 'weight': 4}
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id: 40861910
{'conductor': 180, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757205, 'source_is_minimal': False, 'source_label': '405.4.e.c.271.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195595555216, 'target_is_minimal': False, 'target_label': '400.4.a.m.1.1', 'target_level': 400, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '180.59', 'twisting_conrey_index': 59, 'weight': 4}
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id: 40861911
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757205, 'source_is_minimal': False, 'source_label': '405.4.e.c.271.1', 'source_level': 405, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45036133779767696, 'target_is_minimal': False, 'target_label': '400.4.c.k.49.2', 'target_level': 400, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '180.167', 'twisting_conrey_index': 167, 'weight': 4}
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id: 40861912
{'conductor': 315, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757205, 'source_is_minimal': False, 'source_label': '405.4.e.c.271.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45035996340815049, 'target_is_minimal': False, 'target_label': '1225.4.a.k.1.1', 'target_level': 1225, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '315.104', 'twisting_conrey_index': 104, 'weight': 4}
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id: 40861913
{'conductor': 360, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757205, 'source_is_minimal': False, 'source_label': '405.4.e.c.271.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81064793359779392, 'target_is_minimal': False, 'target_label': '1600.4.a.s.1.1', 'target_level': 1600, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '360.59', 'twisting_conrey_index': 59, 'weight': 4}
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id: 40861914
{'conductor': 360, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757205, 'source_is_minimal': False, 'source_label': '405.4.e.c.271.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 153122387397707328, 'target_is_minimal': False, 'target_label': '1600.4.a.bi.1.1', 'target_level': 1600, 'twist_class_label': '5.4.a.a.1.1', 'twist_class_level': 5, 'twisting_char_label': '360.149', 'twisting_conrey_index': 149, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 846200
{'charpoly_factorization': [[[16, 4, 1], 1]], 'hecke_orbit_code': 9007474199757205, 'p': 2}
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id: 846201
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007474199757205, 'p': 3}
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id: 846202
{'charpoly_factorization': [[[25, 5, 1], 1]], 'hecke_orbit_code': 9007474199757205, 'p': 5}
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id: 846203
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 9007474199757205, 'p': 7}
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id: 846204
{'charpoly_factorization': [[[1024, -32, 1], 1]], 'hecke_orbit_code': 9007474199757205, 'p': 11}
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id: 846205
{'charpoly_factorization': [[[1444, -38, 1], 1]], 'hecke_orbit_code': 9007474199757205, 'p': 13}
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id: 846206
{'charpoly_factorization': [[[26, 1], 2]], 'hecke_orbit_code': 9007474199757205, 'p': 17}
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id: 846207
{'charpoly_factorization': [[[-100, 1], 2]], 'hecke_orbit_code': 9007474199757205, 'p': 19}
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id: 846208
{'charpoly_factorization': [[[6084, 78, 1], 1]], 'hecke_orbit_code': 9007474199757205, 'p': 23}
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id: 846209
{'charpoly_factorization': [[[2500, 50, 1], 1]], 'hecke_orbit_code': 9007474199757205, 'p': 29}
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id: 846210
{'charpoly_factorization': [[[11664, -108, 1], 1]], 'hecke_orbit_code': 9007474199757205, 'p': 31}
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id: 846211
{'charpoly_factorization': [[[-266, 1], 2]], 'hecke_orbit_code': 9007474199757205, 'p': 37}
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id: 846212
{'charpoly_factorization': [[[484, -22, 1], 1]], 'hecke_orbit_code': 9007474199757205, 'p': 41}
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id: 846213
{'charpoly_factorization': [[[195364, 442, 1], 1]], 'hecke_orbit_code': 9007474199757205, 'p': 43}
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id: 846214
{'charpoly_factorization': [[[264196, 514, 1], 1]], 'hecke_orbit_code': 9007474199757205, 'p': 47}
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id: 846215
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 9007474199757205, 'p': 53}
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id: 846216
{'charpoly_factorization': [[[250000, -500, 1], 1]], 'hecke_orbit_code': 9007474199757205, 'p': 59}
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id: 846217
{'charpoly_factorization': [[[268324, -518, 1], 1]], 'hecke_orbit_code': 9007474199757205, 'p': 61}
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id: 846218
{'charpoly_factorization': [[[15876, 126, 1], 1]], 'hecke_orbit_code': 9007474199757205, 'p': 67}
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id: 846219
{'charpoly_factorization': [[[412, 1], 2]], 'hecke_orbit_code': 9007474199757205, 'p': 71}
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id: 846220
{'charpoly_factorization': [[[878, 1], 2]], 'hecke_orbit_code': 9007474199757205, 'p': 73}
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id: 846221
{'charpoly_factorization': [[[360000, 600, 1], 1]], 'hecke_orbit_code': 9007474199757205, 'p': 79}
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id: 846222
{'charpoly_factorization': [[[79524, -282, 1], 1]], 'hecke_orbit_code': 9007474199757205, 'p': 83}
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id: 846223
{'charpoly_factorization': [[[-150, 1], 2]], 'hecke_orbit_code': 9007474199757205, 'p': 89}
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id: 846224
{'charpoly_factorization': [[[148996, 386, 1], 1]], 'hecke_orbit_code': 9007474199757205, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 3, 'label': '405.4.e.c', 'level': 405, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 118518000
{'hecke_orbit_code': 9007474199757205, 'n': 1, 'trace_an': 2}
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id: 118518001
{'hecke_orbit_code': 9007474199757205, 'n': 2, 'trace_an': -4}
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id: 118518002
{'hecke_orbit_code': 9007474199757205, 'n': 3, 'trace_an': 0}
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id: 118518003
{'hecke_orbit_code': 9007474199757205, 'n': 4, 'trace_an': -8}
-
id: 118518004
{'hecke_orbit_code': 9007474199757205, 'n': 5, 'trace_an': -5}
-
id: 118518005
{'hecke_orbit_code': 9007474199757205, 'n': 6, 'trace_an': 0}
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id: 118518006
{'hecke_orbit_code': 9007474199757205, 'n': 7, 'trace_an': -6}
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id: 118518007
{'hecke_orbit_code': 9007474199757205, 'n': 8, 'trace_an': 0}
-
id: 118518008
{'hecke_orbit_code': 9007474199757205, 'n': 9, 'trace_an': 0}
-
id: 118518009
{'hecke_orbit_code': 9007474199757205, 'n': 10, 'trace_an': 40}
-
id: 118518010
{'hecke_orbit_code': 9007474199757205, 'n': 11, 'trace_an': 32}
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id: 118518011
{'hecke_orbit_code': 9007474199757205, 'n': 12, 'trace_an': 0}
-
id: 118518012
{'hecke_orbit_code': 9007474199757205, 'n': 13, 'trace_an': 38}
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id: 118518013
{'hecke_orbit_code': 9007474199757205, 'n': 14, 'trace_an': -24}
-
id: 118518014
{'hecke_orbit_code': 9007474199757205, 'n': 15, 'trace_an': 0}
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id: 118518015
{'hecke_orbit_code': 9007474199757205, 'n': 16, 'trace_an': 64}
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id: 118518016
{'hecke_orbit_code': 9007474199757205, 'n': 17, 'trace_an': -52}
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id: 118518017
{'hecke_orbit_code': 9007474199757205, 'n': 18, 'trace_an': 0}
-
id: 118518018
{'hecke_orbit_code': 9007474199757205, 'n': 19, 'trace_an': 200}
-
id: 118518019
{'hecke_orbit_code': 9007474199757205, 'n': 20, 'trace_an': -40}
-
id: 118518020
{'hecke_orbit_code': 9007474199757205, 'n': 21, 'trace_an': 0}
-
id: 118518021
{'hecke_orbit_code': 9007474199757205, 'n': 22, 'trace_an': 128}
-
id: 118518022
{'hecke_orbit_code': 9007474199757205, 'n': 23, 'trace_an': -78}
-
id: 118518023
{'hecke_orbit_code': 9007474199757205, 'n': 24, 'trace_an': 0}
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id: 118518024
{'hecke_orbit_code': 9007474199757205, 'n': 25, 'trace_an': -25}
-
id: 118518025
{'hecke_orbit_code': 9007474199757205, 'n': 26, 'trace_an': -304}
-
id: 118518026
{'hecke_orbit_code': 9007474199757205, 'n': 27, 'trace_an': 0}
-
id: 118518027
{'hecke_orbit_code': 9007474199757205, 'n': 28, 'trace_an': 96}
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id: 118518028
{'hecke_orbit_code': 9007474199757205, 'n': 29, 'trace_an': -50}
-
id: 118518029
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