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mf_newforms • Show schema
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{'Nk2': 1800, 'analytic_conductor': 3.593268090957617, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 45, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 6, 'char_parity': 1, 'char_values': [450, 6, [101, 127], [2, 3]], 'cm_discs': [], 'conrey_index': 49, 'conrey_indexes': [49, 349], 'dim': 8, 'field_disc': 5308416, 'field_disc_factorization': [[2, 16], [3, 4]], 'field_poly': [1, 0, 0, 0, -1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 24, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [16, 0, -80, 0, 396, 0, -20, 0, 1]], [11, [576, 0, 24, 0, 1]], [19, [19, 10, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22518616645697986, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 1800, 'analytic_conductor': 3.593268090957617, 'char_conductor': 45, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 6, 'char_parity': 1, 'char_values': [450, 6, [101, 127], [2, 3]], 'conrey_index': 49, 'cusp_dim': 156, 'dim': 36, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 19], 'hecke_orbit_code': 618508845506, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 8, 8], 'label': '450.2.j', 'level': 450, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 204, 'mf_new_dim': 36, 'num_forms': 7, 'prim_orbit_index': 10, 'relative_dim': 18, 'sturm_bound': 180, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [36, 0, 0, 18, 0, -8, 0, 0, 16, 0, -12, 0, 0, 12, 0, -18, 0, 0, 0, 0, 40, 0, 0, -4, 0, 24, 0, 0, 0, 0, 12, 0, 0, 0, 0, 8, 0, 0, -40, 0, -36, 0, 0, -24, 0, 24, 0, 0, 30, 0, -36, 0, 0, -22, 0, -12, 0, 0, -30, 0, -12, 0, 0, -36, 0, -6, 0, 0, 72, 0, -48, 0, 0, 36, 0, 0, 0, 0, 36, 0, -64, 0, 0, 32, 0, -6, 0, 0, -96, 0, 48, 0, 0, 12, 0, 4, 0, 0, 90, 0, -48, 0, 0, 12, 0, -24, 0, 0, -72, 0, 160, 0, 0, -44, 0, 0, 0, 0, -60, 0, -66, 0, 0, -12, 0, -16, 0, 0, -160, 0, -24, 0, 0, -24, 0, 0, 0, 0, -36, 0, -72, 0, 0, -8, 0, -24, 0, 0, -24, 0, 0, 0, 0, -24, 0, -20, 0, 0, 24, 0, 24, 0, 0, 36, 0, -12, 0, 0, 54, 0, 10, 0, 0, 36, 0, -12, 0, 0, 168, 0, 72, 0, 0, 12, 0, -16, 0, 0, 164, 0, 36, 0, 0, 66, 0, -30, 0, 0, 0, 0, 82, 0, 0, -6, 0, 192, 0, 0, -54, 0, -36, 0, 0, 36, 0, -8, 0, 0, -22, 0, 60, 0, 0, -24, 0, -48, 0, 0, 84, 0, 144, 0, 0, -116, 0, 30, 0, 0, 72, 0, -36, 0, 0, -24, 0, 30, 0, 0, -126, 0, 0, 0, 0, 72, 0, -18, 0, 0, -24, 0, -228, 0, 0, 54, 0, 0, 0, 0, 48, 0, 0, 0, 0, -24, 0, 60, 0, 0, 236, 0, 0, 0, 0, -24, 0, 60, 0, 0, -60, 0, -128, 0, 0, 0, 0, 72, 0, 0, -24, 0, 24, 0, 0, 0, 0, -30, 0, 0, -100, 0, 156, 0, 0, -168, 0, 72, 0, 0, 24, 0, 102, 0, 0, -32, 0, 0, 0, 0, -132, 0, -12, 0, 0, 96, 0, -8, 0, 0, -60, 0, -144, 0, 0, 6, 0, 0, 0, 0, 84, 0, -68, 0, 0, -24, 0, -48, 0, 0, 408, 0, 60, 0, 0, 24, 0, -28, 0, 0, -204, 0, 264, 0, 0, 120, 0, -12, 0, 0, -312, 0, -128, 0, 0, 8, 0, -192, 0, 0, 144, 0, -120, 0, 0, -48, 0, 84, 0, 0, -56, 0, -156, 0, 0, -96, 0, -120, 0, 0, -120, 0, -120, 0, 0, 12, 0, -12, 0, 0, -108, 0, -12, 0, 0, -48, 0, -108, 0, 0, -84, 0, 120, 0, 0, -24, 0, -36, 0, 0, -60, 0, 168, 0, 0, 164, 0, 12, 0, 0, 96, 0, -252, 0, 0, -78, 0, 74, 0, 0, -144, 0, 24, 0, 0, 0, 0, 42, 0, 0, 312, 0, -44, 0, 0, 28, 0, -120, 0, 0, -204, 0, -24, 0, 0, 66, 0, 4, 0, 0, -82, 0, 234, 0, 0, 72, 0, -24, 0, 0, 42, 0, 120, 0, 0, 40, 0, -120, 0, 0, -72, 0, -72, 0, 0, 36, 0, -92, 0, 0, 132, 0, -192, 0, 0, 24, 0, 120, 0, 0, 30, 0, 0, 0, 0, 138, 0, -12, 0, 0, -408, 0, 264, 0, 0, 0, 0, -128, 0, 0, 92, 0, -96, 0, 0, 12, 0, 36, 0, 0, 24, 0, 114, 0, 0, -120, 0, -72, 0, 0, -84, 0, 126, 0, 0, -60, 0, -16, 0, 0, 74, 0, -120, 0, 0, -48, 0, 264, 0, 0, 132, 0, -180, 0, 0, -192, 0, 24, 0, 0, -96, 0, 84, 0, 0, 0, 0, 120, 0, 0, 204, 0, -192, 0, 0, 36, 0, -12, 0, 0, -30, 0, -36, 0, 0, 20, 0, 30, 0, 0, 288, 0, -168, 0, 0, 12, 0, 24, 0, 0, 108, 0, 6, 0, 0, 12, 0, -30, 0, 0, 24, 0, 8, 0, 0, 148, 0, 72, 0, 0, -36, 0, 120, 0, 0, 12, 0, 212, 0, 0, -4, 0, 120, 0, 0, -384, 0, 108, 0, 0, -96, 0, 432, 0, 0, -88, 0, 108, 0, 0, 312, 0, -36, 0, 0, 48, 0, -24, 0, 0, 60, 0, 528, 0, 0, 12, 0, -54, 0, 0, -252, 0, 196, 0, 0, 168, 0, 84, 0, 0, 120, 0, -288, 0, 0, 36, 0, 268, 0, 0, 316, 0, -228, 0, 0, -72, 0, -12, 0, 0, 300, 0, 32, 0, 0, -44, 0, 24, 0, 0, 12, 0, 228, 0, 0, 120, 0, 64, 0, 0, 120, 0, 24, 0, 0, 72, 0, -264, 0, 0, 96, 0, -252, 0, 0, 136, 0, -66, 0, 0, 72, 0, 108, 0, 0, -60, 0, -72, 0, 0, -216, 0, -600, 0, 0, -120, 0, 0, 0, 0, -156, 0, -186, 0, 0, -52, 0, -264, 0, 0, -12, 0, -36, 0, 0, -72, 0, 30, 0, 0, -560, 0, 72, 0, 0, 96, 0, 168, 0, 0, 96, 0, -200, 0, 0, 124, 0, -108, 0, 0, 276, 0, 150, 0, 0, 36, 0, 120, 0, 0, 284, 0, -144, 0, 0, -120, 0, 72, 0, 0, -216, 0, -168, 0, 0, 14, 0, -24, 0, 0, -264, 0, 36, 0, 0, 216, 0, -158, 0, 0, -120, 0, 480, 0, 0, -60, 0, -60, 0, 0, 12, 0, 702, 0, 0, 36, 0, -12, 0, 0, -48, 0, 48, 0, 0, -24, 0, -268, 0, 0, -432, 0, 204, 0, 0, -48, 0, -84, 0, 0, -48, 0, -92, 0, 0, 12, 0, -144, 0, 0, 12, 0, -48, 0, 0, -174, 0, -172, 0, 0, -280, 0, -120, 0, 0, 60, 0, -48, 0, 0, -204, 0, -240, 0, 0, 0, 0, -72, 0, 0, -168, 0, -18, 0, 0, -72, 0, 48, 0, 0, 174, 0, -264, 0, 0, 180, 0, -12, 0, 0, -90, 0, -488, 0, 0, 6, 0, 48, 0, 0, -816, 0, -48, 0, 0, 24, 0, -210, 0, 0, 32, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 45289999
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 349, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518616645697986, 'source_is_minimal': False, 'source_label': '450.2.j.f.349.2', 'source_level': 450, 'target_conrey_index': 349, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518616645697986, 'target_is_minimal': False, 'target_label': '450.2.j.f.349.2', 'target_level': 450, 'twist_class_label': '450.2.e.l.151.2', 'twist_class_level': 450, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45290000
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 349, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518616645697986, 'source_is_minimal': False, 'source_label': '450.2.j.f.349.2', 'source_level': 450, 'target_conrey_index': 1099, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 27022216273069382, 'target_is_minimal': False, 'target_label': '1350.2.j.g.1099.4', 'target_level': 1350, 'twist_class_label': '450.2.e.l.151.2', 'twist_class_level': 450, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45290001
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 349, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518616645697986, 'source_is_minimal': False, 'source_label': '450.2.j.f.349.2', 'source_level': 450, 'target_conrey_index': 151, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043470439907778, 'target_is_minimal': True, 'target_label': '450.2.e.m.151.1', 'target_level': 450, 'twist_class_label': '450.2.e.l.151.2', 'twist_class_level': 450, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45290002
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 349, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518616645697986, 'source_is_minimal': False, 'source_label': '450.2.j.f.349.2', 'source_level': 450, 'target_conrey_index': 151, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49539870812537282, 'target_is_minimal': True, 'target_label': '450.2.e.l.151.2', 'target_level': 450, 'twist_class_label': '450.2.e.l.151.2', 'twist_class_level': 450, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45290003
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 349, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518616645697986, 'source_is_minimal': False, 'source_label': '450.2.j.f.349.2', 'source_level': 450, 'target_conrey_index': 349, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22518616645697986, 'target_is_minimal': False, 'target_label': '450.2.j.f.349.3', 'target_level': 450, 'twist_class_label': '450.2.e.l.151.2', 'twist_class_level': 450, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45290004
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 349, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518616645697986, 'source_is_minimal': False, 'source_label': '450.2.j.f.349.2', 'source_level': 450, 'target_conrey_index': 649, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 99079329274662866, 'target_is_minimal': False, 'target_label': '4050.2.c.w.649.1', 'target_level': 4050, 'twist_class_label': '450.2.e.l.151.2', 'twist_class_level': 450, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45290005
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 349, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518616645697986, 'source_is_minimal': False, 'source_label': '450.2.j.f.349.2', 'source_level': 450, 'target_conrey_index': 49, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22518616645697986, 'target_is_minimal': False, 'target_label': '450.2.j.f.49.3', 'target_level': 450, 'twist_class_label': '450.2.e.l.151.2', 'twist_class_level': 450, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45290006
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 349, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518616645697986, 'source_is_minimal': False, 'source_label': '450.2.j.f.349.2', 'source_level': 450, 'target_conrey_index': 199, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022216273069382, 'target_is_minimal': False, 'target_label': '1350.2.j.g.199.1', 'target_level': 1350, 'twist_class_label': '450.2.e.l.151.2', 'twist_class_level': 450, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45290007
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 349, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518616645697986, 'source_is_minimal': False, 'source_label': '450.2.j.f.349.2', 'source_level': 450, 'target_conrey_index': 649, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 108086528529403858, 'target_is_minimal': False, 'target_label': '4050.2.c.y.649.3', 'target_level': 4050, 'twist_class_label': '450.2.e.l.151.2', 'twist_class_level': 450, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 45290008
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 349, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518616645697986, 'source_is_minimal': False, 'source_label': '450.2.j.f.349.2', 'source_level': 450, 'target_conrey_index': 451, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036271185167686, 'target_is_minimal': False, 'target_label': '1350.2.e.k.451.1', 'target_level': 1350, 'twist_class_label': '450.2.e.l.151.2', 'twist_class_level': 450, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45290009
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 349, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518616645697986, 'source_is_minimal': False, 'source_label': '450.2.j.f.349.2', 'source_level': 450, 'target_conrey_index': 451, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58547070067279174, 'target_is_minimal': False, 'target_label': '1350.2.e.n.451.2', 'target_level': 1350, 'twist_class_label': '450.2.e.l.151.2', 'twist_class_level': 450, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 45290010
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 349, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518616645697986, 'source_is_minimal': False, 'source_label': '450.2.j.f.349.2', 'source_level': 450, 'target_conrey_index': 1099, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022216273069382, 'target_is_minimal': False, 'target_label': '1350.2.j.g.1099.1', 'target_level': 1350, 'twist_class_label': '450.2.e.l.151.2', 'twist_class_level': 450, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 45290011
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 349, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518616645697986, 'source_is_minimal': False, 'source_label': '450.2.j.f.349.2', 'source_level': 450, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 225179981402083282, 'target_is_minimal': False, 'target_label': '4050.2.a.by.1.2', 'target_level': 4050, 'twist_class_label': '450.2.e.l.151.2', 'twist_class_level': 450, 'twisting_char_label': '45.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45290012
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 349, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518616645697986, 'source_is_minimal': False, 'source_label': '450.2.j.f.349.2', 'source_level': 450, 'target_conrey_index': 49, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518616645697986, 'target_is_minimal': False, 'target_label': '450.2.j.f.49.2', 'target_level': 450, 'twist_class_label': '450.2.e.l.151.2', 'twist_class_level': 450, 'twisting_char_label': '45.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45290013
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 349, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518616645697986, 'source_is_minimal': False, 'source_label': '450.2.j.f.349.2', 'source_level': 450, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 193654784010489810, 'target_is_minimal': False, 'target_label': '4050.2.a.br.1.2', 'target_level': 4050, 'twist_class_label': '450.2.e.l.151.2', 'twist_class_level': 450, 'twisting_char_label': '45.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 45290014
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 349, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518616645697986, 'source_is_minimal': False, 'source_label': '450.2.j.f.349.2', 'source_level': 450, 'target_conrey_index': 301, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539870812537282, 'target_is_minimal': True, 'target_label': '450.2.e.l.301.1', 'target_level': 450, 'twist_class_label': '450.2.e.l.151.2', 'twist_class_level': 450, 'twisting_char_label': '45.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 45290015
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 349, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518616645697986, 'source_is_minimal': False, 'source_label': '450.2.j.f.349.2', 'source_level': 450, 'target_conrey_index': 199, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 27022216273069382, 'target_is_minimal': False, 'target_label': '1350.2.j.g.199.4', 'target_level': 1350, 'twist_class_label': '450.2.e.l.151.2', 'twist_class_level': 450, 'twisting_char_label': '45.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 45290016
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 349, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518616645697986, 'source_is_minimal': False, 'source_label': '450.2.j.f.349.2', 'source_level': 450, 'target_conrey_index': 301, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043470439907778, 'target_is_minimal': True, 'target_label': '450.2.e.m.301.2', 'target_level': 450, 'twist_class_label': '450.2.e.l.151.2', 'twist_class_level': 450, 'twisting_char_label': '45.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 45290017
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 349, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518616645697986, 'source_is_minimal': False, 'source_label': '450.2.j.f.349.2', 'source_level': 450, 'target_conrey_index': 901, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58547070067279174, 'target_is_minimal': False, 'target_label': '1350.2.e.n.901.2', 'target_level': 1350, 'twist_class_label': '450.2.e.l.151.2', 'twist_class_level': 450, 'twisting_char_label': '45.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 45290018
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 349, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518616645697986, 'source_is_minimal': False, 'source_label': '450.2.j.f.349.2', 'source_level': 450, 'target_conrey_index': 649, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 99079329274662866, 'target_is_minimal': False, 'target_label': '4050.2.c.w.649.4', 'target_level': 4050, 'twist_class_label': '450.2.e.l.151.2', 'twist_class_level': 450, 'twisting_char_label': '45.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 45290019
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 349, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518616645697986, 'source_is_minimal': False, 'source_label': '450.2.j.f.349.2', 'source_level': 450, 'target_conrey_index': 901, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036271185167686, 'target_is_minimal': False, 'target_label': '1350.2.e.k.901.1', 'target_level': 1350, 'twist_class_label': '450.2.e.l.151.2', 'twist_class_level': 450, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 45290020
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 349, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518616645697986, 'source_is_minimal': False, 'source_label': '450.2.j.f.349.2', 'source_level': 450, 'target_conrey_index': 649, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 108086528529403858, 'target_is_minimal': False, 'target_label': '4050.2.c.y.649.2', 'target_level': 4050, 'twist_class_label': '450.2.e.l.151.2', 'twist_class_level': 450, 'twisting_char_label': '45.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 45290021
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 349, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518616645697986, 'source_is_minimal': False, 'source_label': '450.2.j.f.349.2', 'source_level': 450, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 166633186246266834, 'target_is_minimal': False, 'target_label': '4050.2.a.bl.1.1', 'target_level': 4050, 'twist_class_label': '450.2.e.l.151.2', 'twist_class_level': 450, 'twisting_char_label': '45.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 45290022
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 349, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518616645697986, 'source_is_minimal': False, 'source_label': '450.2.j.f.349.2', 'source_level': 450, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 207165582892601298, 'target_is_minimal': False, 'target_label': '4050.2.a.bu.1.1', 'target_level': 4050, 'twist_class_label': '450.2.e.l.151.2', 'twist_class_level': 450, 'twisting_char_label': '45.43', 'twisting_conrey_index': 43, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 909150
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 2]], 'hecke_orbit_code': 22518616645697986, 'p': 2}
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id: 909151
{'charpoly_factorization': [[[9, 0, -2, 0, 1], 2]], 'hecke_orbit_code': 22518616645697986, 'p': 3}
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id: 909152
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 22518616645697986, 'p': 5}
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id: 909153
{'charpoly_factorization': [[[16, 0, -80, 0, 396, 0, -20, 0, 1], 1]], 'hecke_orbit_code': 22518616645697986, 'p': 7}
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id: 909154
{'charpoly_factorization': [[[576, 0, 24, 0, 1], 2]], 'hecke_orbit_code': 22518616645697986, 'p': 11}
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id: 909155
{'charpoly_factorization': [[[16, 0, -80, 0, 396, 0, -20, 0, 1], 1]], 'hecke_orbit_code': 22518616645697986, 'p': 13}
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id: 909156
{'charpoly_factorization': [[[24, 0, 1], 4]], 'hecke_orbit_code': 22518616645697986, 'p': 17}
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id: 909157
{'charpoly_factorization': [[[19, 10, 1], 4]], 'hecke_orbit_code': 22518616645697986, 'p': 19}
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id: 909158
{'charpoly_factorization': [[[36, 0, -6, 0, 1], 2]], 'hecke_orbit_code': 22518616645697986, 'p': 23}
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id: 909159
{'charpoly_factorization': [[[36, 0, 6, 0, 1], 2]], 'hecke_orbit_code': 22518616645697986, 'p': 29}
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id: 909160
{'charpoly_factorization': [[[4, -8, 18, 4, 1], 2]], 'hecke_orbit_code': 22518616645697986, 'p': 31}
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id: 909161
{'charpoly_factorization': [[[1444, 0, 140, 0, 1], 2]], 'hecke_orbit_code': 22518616645697986, 'p': 37}
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id: 909162
{'charpoly_factorization': [[[81, 9, 1], 4]], 'hecke_orbit_code': 22518616645697986, 'p': 41}
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id: 909163
{'charpoly_factorization': [[[130321, 0, -22382, 0, 3483, 0, -62, 0, 1], 1]], 'hecke_orbit_code': 22518616645697986, 'p': 43}
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id: 909164
{'charpoly_factorization': [[[20736, 0, -17280, 0, 14256, 0, -120, 0, 1], 1]], 'hecke_orbit_code': 22518616645697986, 'p': 47}
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id: 909165
{'charpoly_factorization': [[[900, 0, 84, 0, 1], 2]], 'hecke_orbit_code': 22518616645697986, 'p': 53}
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id: 909166
{'charpoly_factorization': [[[9, 18, 33, 6, 1], 2]], 'hecke_orbit_code': 22518616645697986, 'p': 59}
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id: 909167
{'charpoly_factorization': [[[64, 8, 1], 4]], 'hecke_orbit_code': 22518616645697986, 'p': 61}
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id: 909168
{'charpoly_factorization': [[[625, 0, -5150, 0, 42411, 0, -206, 0, 1], 1]], 'hecke_orbit_code': 22518616645697986, 'p': 67}
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id: 909169
{'charpoly_factorization': [[[-18, -12, 1], 4]], 'hecke_orbit_code': 22518616645697986, 'p': 71}
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id: 909170
{'charpoly_factorization': [[[1, 0, 1], 4]], 'hecke_orbit_code': 22518616645697986, 'p': 73}
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id: 909171
{'charpoly_factorization': [[[44944, 848, 228, -4, 1], 2]], 'hecke_orbit_code': 22518616645697986, 'p': 79}
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id: 909172
{'charpoly_factorization': [[[81, 0, -270, 0, 891, 0, -30, 0, 1], 1]], 'hecke_orbit_code': 22518616645697986, 'p': 83}
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id: 909173
{'charpoly_factorization': [[[-9, 1], 8]], 'hecke_orbit_code': 22518616645697986, 'p': 89}
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id: 909174
{'charpoly_factorization': [[[81450625, 0, -1750850, 0, 28611, 0, -194, 0, 1], 1]], 'hecke_orbit_code': 22518616645697986, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 10, 'hecke_orbit': 6, 'label': '450.2.j.f', 'level': 450, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 173055000
{'hecke_orbit_code': 22518616645697986, 'n': 1, 'trace_an': 8}
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id: 173055001
{'hecke_orbit_code': 22518616645697986, 'n': 2, 'trace_an': 0}
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id: 173055002
{'hecke_orbit_code': 22518616645697986, 'n': 3, 'trace_an': 0}
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id: 173055003
{'hecke_orbit_code': 22518616645697986, 'n': 4, 'trace_an': 4}
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id: 173055004
{'hecke_orbit_code': 22518616645697986, 'n': 5, 'trace_an': 0}
-
id: 173055005
{'hecke_orbit_code': 22518616645697986, 'n': 6, 'trace_an': -4}
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id: 173055006
{'hecke_orbit_code': 22518616645697986, 'n': 7, 'trace_an': 0}
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id: 173055007
{'hecke_orbit_code': 22518616645697986, 'n': 8, 'trace_an': 0}
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id: 173055008
{'hecke_orbit_code': 22518616645697986, 'n': 9, 'trace_an': 8}
-
id: 173055009
{'hecke_orbit_code': 22518616645697986, 'n': 10, 'trace_an': 0}
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id: 173055010
{'hecke_orbit_code': 22518616645697986, 'n': 11, 'trace_an': 0}
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id: 173055011
{'hecke_orbit_code': 22518616645697986, 'n': 12, 'trace_an': 0}
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id: 173055012
{'hecke_orbit_code': 22518616645697986, 'n': 13, 'trace_an': 0}
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id: 173055013
{'hecke_orbit_code': 22518616645697986, 'n': 14, 'trace_an': -8}
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id: 173055014
{'hecke_orbit_code': 22518616645697986, 'n': 15, 'trace_an': 0}
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id: 173055015
{'hecke_orbit_code': 22518616645697986, 'n': 16, 'trace_an': -4}
-
id: 173055016
{'hecke_orbit_code': 22518616645697986, 'n': 17, 'trace_an': 0}
-
id: 173055017
{'hecke_orbit_code': 22518616645697986, 'n': 18, 'trace_an': 0}
-
id: 173055018
{'hecke_orbit_code': 22518616645697986, 'n': 19, 'trace_an': -40}
-
id: 173055019
{'hecke_orbit_code': 22518616645697986, 'n': 20, 'trace_an': 0}
-
id: 173055020
{'hecke_orbit_code': 22518616645697986, 'n': 21, 'trace_an': 32}
-
id: 173055021
{'hecke_orbit_code': 22518616645697986, 'n': 22, 'trace_an': 0}
-
id: 173055022
{'hecke_orbit_code': 22518616645697986, 'n': 23, 'trace_an': 0}
-
id: 173055023
{'hecke_orbit_code': 22518616645697986, 'n': 24, 'trace_an': -8}
-
id: 173055024
{'hecke_orbit_code': 22518616645697986, 'n': 25, 'trace_an': 0}
-
id: 173055025
{'hecke_orbit_code': 22518616645697986, 'n': 26, 'trace_an': -16}
-
id: 173055026
{'hecke_orbit_code': 22518616645697986, 'n': 27, 'trace_an': 0}
-
id: 173055027
{'hecke_orbit_code': 22518616645697986, 'n': 28, 'trace_an': 0}
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id: 173055028
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