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mf_newforms • Show schema
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{'Nk2': 972, 'analytic_conductor': 1.9403647691171133, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 27, 'char_degree': 6, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 9, 'char_parity': 1, 'char_values': [243, 9, [2], [4]], 'cm_discs': [], 'conrey_index': 28, 'conrey_indexes': [28, 55, 109, 136, 190, 217], 'dim': 12, 'field_disc': 1952986685049, 'field_disc_factorization': [[3, 18], [71, 2]], 'field_poly': [3, -27, 108, -258, 420, -504, 463, -330, 186, -80, 27, -6, 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': [[2, [9, -54, 135, -207, 279, -279, 195, -81, 27, -6, 3, -3, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007474166202611, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 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mf_hecke_cc • Show schema
Hide schema
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'dual_conrey_index': 190, 'dual_embedding_index': 2, 'dual_embedding_m': 10, 'embedding_index': 2, 'embedding_m': 4, 'embedding_root_imag': 2.228269908739524, 'embedding_root_real': 0.5, 'hecke_orbit': 3, 'hecke_orbit_code': 9007474166202611, 'label': '243.2.e.c.55.2', 'level': 243, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 972, 'analytic_conductor': 1.9403647691171133, 'char_conductor': 27, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 9, 'char_parity': 1, 'char_values': [243, 9, [2], [4]], 'conrey_index': 28, 'cusp_dim': 108, 'dim': 48, 'eis_dim': 108, 'eis_new_dim': 48, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 274911461619, 'hecke_orbit_dims': [12, 12, 12, 12], 'label': '243.2.e', 'level': 243, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'mf_dim': 216, 'mf_new_dim': 96, 'num_forms': 4, 'prim_orbit_index': 5, 'relative_dim': 8, 'sturm_bound': 54, 'trace_bound': 5, 'trace_display': [0, 0, 0, 12], 'traces': [48, 0, 0, 12, 0, 0, 12, 0, 0, -12, 0, 0, 12, 0, 0, 0, 0, 0, -12, 0, 0, -6, 0, 0, -6, 0, 0, -48, 0, 0, -6, 0, 0, -18, 0, 0, -12, 0, 0, -42, 0, 0, -6, 0, 0, -12, 0, 0, -24, 0, 0, -18, 0, 0, -48, 0, 0, -42, 0, 0, -24, 0, 0, 48, 0, 0, 30, 0, 0, 30, 0, 0, 24, 0, 0, 96, 0, 0, 84, 0, 0, -48, 0, 0, 54, 0, 0, 60, 0, 0, 24, 0, 0, 30, 0, 0, -6, 0, 0, 72, 0, 0, -60, 0, 0, -54, 0, 0, -48, 0, 0, -78, 0, 0, -78, 0, 0, -12, 0, 0, -78, 0, 0, -126, 0, 0, -12, 0, 0, -60, 0, 0, -84, 0, 0, 144, 0, 0, -6, 0, 0, 36, 0, 0, -12, 0, 0, 96, 0, 0, 120, 0, 0, -12, 0, 0, 138, 0, 0, 180, 0, 0, 168, 0, 0, 228, 0, 0, 120, 0, 0, -12, 0, 0, 72, 0, 0, 108, 0, 0, -12, 0, 0, -60, 0, 0, -72, 0, 0, 192, 0, 0, -96, 0, 0, -114, 0, 0, -12, 0, 0, -186, 0, 0, -150, 0, 0, -108, 0, 0, -132, 0, 0, -108, 0, 0, -120, 0, 0, -30, 0, 0, 12, 0, 0, -120, 0, 0, 12, 0, 0, 42, 0, 0, -120, 0, 0, 54, 0, 0, 30, 0, 0, -336, 0, 0, -30, 0, 0, 30, 0, 0, -120, 0, 0, 12, 0, 0, -30, 0, 0, -120, 0, 0, 54, 0, 0, -54, 0, 0, -120, 0, 0, -204, 0, 0, -150, 0, 0, 60, 0, 0, -150, 0, 0, -120, 0, 0, 156, 0, 0, -156, 0, 0, -6, 0, 0, -48, 0, 0, 102, 0, 0, 18, 0, 0, 132, 0, 0, 174, 0, 0, 210, 0, 0, 204, 0, 0, 210, 0, 0, 210, 0, 0, -48, 0, 0, 210, 0, 0, 228, 0, 0, 204, 0, 0, 174, 0, 0, 54, 0, 0, 132, 0, 0, 102, 0, 0, 84, 0, 0, 144, 0, 0, -54, 0, 0, -180, 0, 0, 180, 0, 0, -12, 0, 0, -150, 0, 0, 228, 0, 0, -78, 0, 0, -102, 0, 0, 168, 0, 0, -42, 0, 0, 30, 0, 0, -12, 0, 0, -54, 0, 0, 54, 0, 0, -12, 0, 0, -6, 0, 0, -24, 0, 0, 384, 0, 0, -6, 0, 0, 90, 0, 0, -12, 0, 0, -30, 0, 0, -60, 0, 0, -108, 0, 0, -42, 0, 0, -150, 0, 0, 168, 0, 0, -102, 0, 0, -132, 0, 0, -216, 0, 0, -180, 0, 0, -96, 0, 0, -120, 0, 0, -6, 0, 0, 30, 0, 0, -240, 0, 0, 48, 0, 0, 144, 0, 0, -228, 0, 0, 120, 0, 0, 6, 0, 0, -336, 0, 0, 24, 0, 0, 204, 0, 0, -480, 0, 0, 90, 0, 0, -18, 0, 0, -144, 0, 0, 84, 0, 0, 216, 0, 0, -228, 0, 0, -12, 0, 0, -48, 0, 0, -480, 0, 0, -42, 0, 0, -30, 0, 0, -84, 0, 0, -24, 0, 0, -96, 0, 0, -96, 0, 0, -54, 0, 0, -162, 0, 0, -48, 0, 0, -126, 0, 0, -132, 0, 0, 84, 0, 0, -150, 0, 0, -18, 0, 0, 240, 0, 0, -114, 0, 0, -60, 0, 0, 144, 0, 0, -6, 0, 0, -96, 0, 0, 240, 0, 0, -174, 0, 0, 54, 0, 0, 204, 0, 0, -174, 0, 0, -162, 0, 0, 360, 0, 0, 84, 0, 0, 66, 0, 0, 132, 0, 0, 66, 0, 0, 30, 0, 0, 24, 0, 0, 48, 0, 0, 156, 0, 0, 600, 0, 0, 162, 0, 0, 72, 0, 0, -12, 0, 0, 84, 0, 0, 114, 0, 0, 132, 0, 0, 318, 0, 0, 90, 0, 0, 600, 0, 0, 114, 0, 0, 246, 0, 0, -12, 0, 0, 192, 0, 0, -120, 0, 0, -12, 0, 0, 102, 0, 0, 192, 0, 0, 48, 0, 0, 156, 0, 0, 60, 0, 0, -120, 0, 0, 48, 0, 0, 102, 0, 0, -228, 0, 0, -108, 0, 0, -12, 0, 0, -96, 0, 0, -258, 0, 0, -150, 0, 0, -144, 0, 0, 12, 0, 0, -270, 0, 0, -228, 0, 0, -66, 0, 0, -222, 0, 0, -672, 0, 0, -222, 0, 0, -234, 0, 0, -228, 0, 0, -162, 0, 0, -150, 0, 0, 72, 0, 0, -186, 0, 0, 114, 0, 0, -552, 0, 0, -84, 0, 0, 96, 0, 0, -12, 0, 0, 120, 0, 0, 162, 0, 0, 96, 0, 0, 264, 0, 0, -18, 0, 0, -456, 0, 0, 12, 0, 0, 84, 0, 0, 420, 0, 0, 42, 0, 0, -18, 0, 0, 420, 0, 0, -12, 0, 0, 60, 0, 0, -48, 0, 0, 132, 0, 0, 42, 0, 0, 300, 0, 0, 12, 0, 0, 30, 0, 0, 420, 0, 0, 300, 0, 0, -6, 0, 0, 168, 0, 0, 12, 0, 0, 288, 0, 0, 204, 0, 0, -18, 0, 0, 174, 0, 0, 108, 0, 0, 30, 0, 0, 108, 0, 0, 384, 0, 0, 42, 0, 0, -330, 0, 0, 444, 0, 0, -96, 0, 0, -120, 0, 0, -12, 0, 0, -384, 0, 0, -246, 0, 0, 816, 0, 0, -270, 0, 0, -396, 0, 0, -216, 0, 0, -258, 0, 0, -168, 0, 0, -84, 0, 0, -222, 0, 0, 36, 0, 0, 96, 0, 0, 174, 0, 0, 6, 0, 0, -144, 0, 0, 204, 0, 0, 162, 0, 0, -336, 0, 0, 222, 0, 0, 156, 0, 0, -696, 0, 0, 60, 0, 0, 126, 0, 0, -444, 0, 0, -78, 0, 0, 318, 0, 0, -552, 0, 0, 48, 0, 0, 12, 0, 0, -768, 0, 0, -60, 0, 0, -54, 0, 0, -552, 0, 0, 198, 0, 0, 90, 0, 0, -408, 0, 0, 0, 0, 0, 156, 0, 0, -480], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 40808973
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007474166202611, 'source_is_minimal': False, 'source_label': '243.2.e.c.55.2', 'source_level': 243, 'target_conrey_index': 55, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007474166202611, 'target_is_minimal': False, 'target_label': '243.2.e.c.55.2', 'target_level': 243, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 40808974
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007474166202611, 'source_is_minimal': False, 'source_label': '243.2.e.c.55.2', 'source_level': 243, 'target_conrey_index': 55, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832115, 'target_is_minimal': False, 'target_label': '243.2.e.b.55.1', 'target_level': 243, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40808975
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007474166202611, 'source_is_minimal': False, 'source_label': '243.2.e.c.55.2', 'source_level': 243, 'target_conrey_index': 46, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 274911461457, 'target_is_minimal': False, 'target_label': '81.2.e.a.46.2', 'target_level': 81, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40808976
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007474166202611, 'source_is_minimal': False, 'source_label': '243.2.e.c.55.2', 'source_level': 243, 'target_conrey_index': 217, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511073793573107, 'target_is_minimal': False, 'target_label': '243.2.e.d.217.1', 'target_level': 243, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 40808977
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007474166202611, 'source_is_minimal': False, 'source_label': '243.2.e.c.55.2', 'source_level': 243, 'target_conrey_index': 217, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 274911461619, 'target_is_minimal': False, 'target_label': '243.2.e.a.217.2', 'target_level': 243, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 40808978
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007474166202611, 'source_is_minimal': False, 'source_label': '243.2.e.c.55.2', 'source_level': 243, 'target_conrey_index': 16, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461403, 'target_is_minimal': True, 'target_label': '27.2.e.a.16.1', 'target_level': 27, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 40808979
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007474166202611, 'source_is_minimal': False, 'source_label': '243.2.e.c.55.2', 'source_level': 243, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 13510798915666649, 'target_is_minimal': False, 'target_label': '729.2.a.d.1.5', 'target_level': 729, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '27.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40808980
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007474166202611, 'source_is_minimal': False, 'source_label': '243.2.e.c.55.2', 'source_level': 243, 'target_conrey_index': 190, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007474166202611, 'target_is_minimal': False, 'target_label': '243.2.e.c.190.2', 'target_level': 243, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '27.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 40808981
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007474166202611, 'source_is_minimal': False, 'source_label': '243.2.e.c.55.2', 'source_level': 243, 'target_conrey_index': 28, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 274911461619, 'target_is_minimal': False, 'target_label': '243.2.e.a.28.2', 'target_level': 243, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '27.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 40808982
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007474166202611, 'source_is_minimal': False, 'source_label': '243.2.e.c.55.2', 'source_level': 243, 'target_conrey_index': 487, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 18014535981990617, 'target_is_minimal': False, 'target_label': '729.2.c.e.487.5', 'target_level': 729, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '27.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 40808983
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007474166202611, 'source_is_minimal': False, 'source_label': '243.2.e.c.55.2', 'source_level': 243, 'target_conrey_index': 244, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503737099879129, 'target_is_minimal': False, 'target_label': '729.2.c.b.244.2', 'target_level': 729, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '27.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 40808984
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007474166202611, 'source_is_minimal': False, 'source_label': '243.2.e.c.55.2', 'source_level': 243, 'target_conrey_index': 22, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461403, 'target_is_minimal': True, 'target_label': '27.2.e.a.22.1', 'target_level': 27, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '27.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 40808985
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007474166202611, 'source_is_minimal': False, 'source_label': '243.2.e.c.55.2', 'source_level': 243, 'target_conrey_index': 37, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 274911461457, 'target_is_minimal': False, 'target_label': '81.2.e.a.37.2', 'target_level': 81, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '27.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 40808986
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007474166202611, 'source_is_minimal': False, 'source_label': '243.2.e.c.55.2', 'source_level': 243, 'target_conrey_index': 244, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 18014535981990617, 'target_is_minimal': False, 'target_label': '729.2.c.e.244.5', 'target_level': 729, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '27.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 40808987
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007474166202611, 'source_is_minimal': False, 'source_label': '243.2.e.c.55.2', 'source_level': 243, 'target_conrey_index': 487, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503737099879129, 'target_is_minimal': False, 'target_label': '729.2.c.b.487.2', 'target_level': 729, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '27.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 40808988
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007474166202611, 'source_is_minimal': False, 'source_label': '243.2.e.c.55.2', 'source_level': 243, 'target_conrey_index': 28, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511073793573107, 'target_is_minimal': False, 'target_label': '243.2.e.d.28.1', 'target_level': 243, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '27.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 40808989
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007474166202611, 'source_is_minimal': False, 'source_label': '243.2.e.c.55.2', 'source_level': 243, 'target_conrey_index': 190, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832115, 'target_is_minimal': False, 'target_label': '243.2.e.b.190.1', 'target_level': 243, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '27.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 40808990
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007474166202611, 'source_is_minimal': False, 'source_label': '243.2.e.c.55.2', 'source_level': 243, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 33555161, 'target_is_minimal': False, 'target_label': '729.2.a.a.1.2', 'target_level': 729, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '27.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 40808991
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007474166202611, 'source_is_minimal': False, 'source_label': '243.2.e.c.55.2', 'source_level': 243, 'target_conrey_index': 97, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008573677830576, 'target_is_minimal': False, 'target_label': '432.2.u.c.97.2', 'target_level': 432, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '36.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 40808992
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007474166202611, 'source_is_minimal': False, 'source_label': '243.2.e.c.55.2', 'source_level': 243, 'target_conrey_index': 124, 'target_dim': 24, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504974050460323, 'target_is_minimal': False, 'target_label': '675.2.u.b.124.4', 'target_level': 675, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '45.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 40808993
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007474166202611, 'source_is_minimal': False, 'source_label': '243.2.e.c.55.2', 'source_level': 243, 'target_conrey_index': 151, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007955202540195, 'target_is_minimal': False, 'target_label': '675.2.l.c.151.2', 'target_level': 675, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '45.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 40808994
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007474166202611, 'source_is_minimal': False, 'source_label': '243.2.e.c.55.2', 'source_level': 243, 'target_conrey_index': 124, 'target_dim': 24, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504974050460323, 'target_is_minimal': False, 'target_label': '675.2.u.b.124.1', 'target_level': 675, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '45.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 40808995
{'conductor': 108, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007474166202611, 'source_is_minimal': False, 'source_label': '243.2.e.c.55.2', 'source_level': 243, 'target_conrey_index': 49, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008573677830576, 'target_is_minimal': False, 'target_label': '432.2.u.c.49.2', 'target_level': 432, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '108.67', 'twisting_conrey_index': 67, 'weight': 2}
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id: 40808996
{'conductor': 135, 'degree': 12, 'order': 36, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007474166202611, 'source_is_minimal': False, 'source_label': '243.2.e.c.55.2', 'source_level': 243, 'target_conrey_index': 49, 'target_dim': 24, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504974050460323, 'target_is_minimal': False, 'target_label': '675.2.u.b.49.4', 'target_level': 675, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '135.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 40808997
{'conductor': 135, 'degree': 12, 'order': 36, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007474166202611, 'source_is_minimal': False, 'source_label': '243.2.e.c.55.2', 'source_level': 243, 'target_conrey_index': 49, 'target_dim': 24, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504974050460323, 'target_is_minimal': False, 'target_label': '675.2.u.b.49.1', 'target_level': 675, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '135.67', 'twisting_conrey_index': 67, 'weight': 2}
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id: 40808998
{'conductor': 135, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007474166202611, 'source_is_minimal': False, 'source_label': '243.2.e.c.55.2', 'source_level': 243, 'target_conrey_index': 76, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007955202540195, 'target_is_minimal': False, 'target_label': '675.2.l.c.76.2', 'target_level': 675, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '135.94', 'twisting_conrey_index': 94, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 572200
{'charpoly_factorization': [[[9, -54, 135, -207, 279, -279, 195, -81, 27, -6, 3, -3, 1], 1]], 'hecke_orbit_code': 9007474166202611, 'p': 2}
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id: 572201
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 9007474166202611, 'p': 3}
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id: 572202
{'charpoly_factorization': [[[9, 189, 1188, 882, 198, -288, 6, -63, 27, 15, 12, 3, 1], 1]], 'hecke_orbit_code': 9007474166202611, 'p': 5}
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id: 572203
{'charpoly_factorization': [[[289, 102, 735, -164, 0, 423, 570, 81, 9, 16, -6, -3, 1], 1]], 'hecke_orbit_code': 9007474166202611, 'p': 7}
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id: 572204
{'charpoly_factorization': [[[9, 54, 216, 360, 630, -1575, 384, 306, 108, -114, 21, -3, 1], 1]], 'hecke_orbit_code': 9007474166202611, 'p': 11}
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id: 572205
{'charpoly_factorization': [[[1, -105, 3165, -3053, 6291, -7758, 4269, -1269, 333, -2, 3, -3, 1], 1]], 'hecke_orbit_code': 9007474166202611, 'p': 13}
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id: 572206
{'charpoly_factorization': [[[729, -2187, 8019, 1458, 7047, -1701, 2727, -567, 621, -189, 72, -9, 1], 1]], 'hecke_orbit_code': 9007474166202611, 'p': 17}
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id: 572207
{'charpoly_factorization': [[[361, 2280, 11208, 21604, 33354, 873, 6162, 252, 846, -14, 39, 3, 1], 1]], 'hecke_orbit_code': 9007474166202611, 'p': 19}
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id: 572208
{'charpoly_factorization': [[[106929, -17658, 122688, 10224, 29952, -81288, 67857, -26100, 6804, -1488, 246, -24, 1], 1]], 'hecke_orbit_code': 9007474166202611, 'p': 23}
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id: 572209
{'charpoly_factorization': [[[45369, 141858, 528903, 740916, 528642, -795294, 358296, -97470, 20358, -3390, 408, -30, 1], 1]], 'hecke_orbit_code': 9007474166202611, 'p': 29}
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id: 572210
{'charpoly_factorization': [[[26569, 54768, 88287, 94552, 61830, 31554, 15042, 3375, -18, 79, 93, 15, 1], 1]], 'hecke_orbit_code': 9007474166202611, 'p': 31}
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id: 572211
{'charpoly_factorization': [[[24334489, 19105509, 12573093, 4411480, 1506987, 331353, 90807, 15399, 3519, 337, 66, 3, 1], 1]], 'hecke_orbit_code': 9007474166202611, 'p': 37}
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id: 572212
{'charpoly_factorization': [[[11229201, 13903299, 9448056, 2329659, 2208555, -171063, -205194, -11880, 8046, 2022, 264, 21, 1], 1]], 'hecke_orbit_code': 9007474166202611, 'p': 41}
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id: 572213
{'charpoly_factorization': [[[3308761, -19983534, 51825903, -7763933, -527553, 491283, -57750, -3483, 4383, -929, 111, -12, 1], 1]], 'hecke_orbit_code': 9007474166202611, 'p': 43}
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id: 572214
{'charpoly_factorization': [[[42732369, 74306079, 56322189, 25123725, 8162865, 2122164, 435003, 47079, 3699, -438, -69, -3, 1], 1]], 'hecke_orbit_code': 9007474166202611, 'p': 47}
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id: 572215
{'charpoly_factorization': [[[-12393, -2916, 4617, -513, -108, 9, 1], 2]], 'hecke_orbit_code': 9007474166202611, 'p': 53}
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id: 572216
{'charpoly_factorization': [[[176384961, -111640086, 85850901, -54043290, 19660518, -5152347, 1251942, -198513, 14877, 150, 12, -15, 1], 1]], 'hecke_orbit_code': 9007474166202611, 'p': 59}
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id: 572217
{'charpoly_factorization': [[[273670849, -444675840, 337382565, -64939025, 19395909, 3457017, -998133, 9585, 28197, -3422, 255, -21, 1], 1]], 'hecke_orbit_code': 9007474166202611, 'p': 61}
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id: 572218
{'charpoly_factorization': [[[8288641, 16885335, 13019388, 7613269, 5511213, 563589, 743826, -137592, 2466, 610, 102, -21, 1], 1]], 'hecke_orbit_code': 9007474166202611, 'p': 67}
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id: 572219
{'charpoly_factorization': [[[729, 6561, 78003, -144342, 604827, 231093, 400761, -147015, 38205, -5103, 504, -27, 1], 1]], 'hecke_orbit_code': 9007474166202611, 'p': 71}
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id: 572220
{'charpoly_factorization': [[[185761, 619347, 3782073, -5509508, 16156512, 498510, 746232, 2871, 27792, 544, 210, -6, 1], 1]], 'hecke_orbit_code': 9007474166202611, 'p': 73}
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id: 572221
{'charpoly_factorization': [[[3508129, 10895241, 10763322, 10657087, 18835119, -6384861, 816969, 20223, 6057, -2198, 255, -21, 1], 1]], 'hecke_orbit_code': 9007474166202611, 'p': 79}
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id: 572222
{'charpoly_factorization': [[[6951057129, 6092898840, 3061507563, 1060798014, 229593564, 27012600, 1797990, 242865, 51030, 6321, 597, 33, 1], 1]], 'hecke_orbit_code': 9007474166202611, 'p': 83}
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id: 572223
{'charpoly_factorization': [[[1062042921, -992530584, 765665784, -218178036, 61794900, -6160293, 1737990, -125712, 36666, -432, 261, -9, 1], 1]], 'hecke_orbit_code': 9007474166202611, 'p': 89}
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id: 572224
{'charpoly_factorization': [[[66765241, 353183304, 834928557, 572785423, 213245865, 53790471, 10083774, 1424223, 153369, 13273, 921, 42, 1], 1]], 'hecke_orbit_code': 9007474166202611, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 5, 'hecke_orbit': 3, 'label': '243.2.e.c', 'level': 243, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 117961000
{'hecke_orbit_code': 9007474166202611, 'n': 1, 'trace_an': 12}
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id: 117961001
{'hecke_orbit_code': 9007474166202611, 'n': 2, 'trace_an': 3}
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id: 117961002
{'hecke_orbit_code': 9007474166202611, 'n': 3, 'trace_an': 0}
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id: 117961003
{'hecke_orbit_code': 9007474166202611, 'n': 4, 'trace_an': 3}
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id: 117961004
{'hecke_orbit_code': 9007474166202611, 'n': 5, 'trace_an': -3}
-
id: 117961005
{'hecke_orbit_code': 9007474166202611, 'n': 6, 'trace_an': 0}
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id: 117961006
{'hecke_orbit_code': 9007474166202611, 'n': 7, 'trace_an': 3}
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id: 117961007
{'hecke_orbit_code': 9007474166202611, 'n': 8, 'trace_an': 6}
-
id: 117961008
{'hecke_orbit_code': 9007474166202611, 'n': 9, 'trace_an': 0}
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id: 117961009
{'hecke_orbit_code': 9007474166202611, 'n': 10, 'trace_an': -3}
-
id: 117961010
{'hecke_orbit_code': 9007474166202611, 'n': 11, 'trace_an': 3}
-
id: 117961011
{'hecke_orbit_code': 9007474166202611, 'n': 12, 'trace_an': 0}
-
id: 117961012
{'hecke_orbit_code': 9007474166202611, 'n': 13, 'trace_an': 3}
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id: 117961013
{'hecke_orbit_code': 9007474166202611, 'n': 14, 'trace_an': 6}
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id: 117961014
{'hecke_orbit_code': 9007474166202611, 'n': 15, 'trace_an': 0}
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id: 117961015
{'hecke_orbit_code': 9007474166202611, 'n': 16, 'trace_an': -9}
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id: 117961016
{'hecke_orbit_code': 9007474166202611, 'n': 17, 'trace_an': 9}
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id: 117961017
{'hecke_orbit_code': 9007474166202611, 'n': 18, 'trace_an': 0}
-
id: 117961018
{'hecke_orbit_code': 9007474166202611, 'n': 19, 'trace_an': -3}
-
id: 117961019
{'hecke_orbit_code': 9007474166202611, 'n': 20, 'trace_an': -21}
-
id: 117961020
{'hecke_orbit_code': 9007474166202611, 'n': 21, 'trace_an': 0}
-
id: 117961021
{'hecke_orbit_code': 9007474166202611, 'n': 22, 'trace_an': -15}
-
id: 117961022
{'hecke_orbit_code': 9007474166202611, 'n': 23, 'trace_an': 24}
-
id: 117961023
{'hecke_orbit_code': 9007474166202611, 'n': 24, 'trace_an': 0}
-
id: 117961024
{'hecke_orbit_code': 9007474166202611, 'n': 25, 'trace_an': -15}
-
id: 117961025
{'hecke_orbit_code': 9007474166202611, 'n': 26, 'trace_an': -30}
-
id: 117961026
{'hecke_orbit_code': 9007474166202611, 'n': 27, 'trace_an': 0}
-
id: 117961027
{'hecke_orbit_code': 9007474166202611, 'n': 28, 'trace_an': -12}
-
id: 117961028
{'hecke_orbit_code': 9007474166202611, 'n': 29, 'trace_an': 30}
-
id: 117961029
{'hecke_orbit_code': 9007474166202611, 'n': 30, 'trace_an': 0}
-
id: 117961030
{'hecke_orbit_code': 9007474166202611, 'n': 31, 'trace_an': -15}
-
id: 117961031
{'hecke_orbit_code': 9007474166202611, 'n': 32, 'trace_an': -27}
-
id: 117961032
{'hecke_orbit_code': 9007474166202611, 'n': 33, 'trace_an': 0}
-
id: 117961033
{'hecke_orbit_code': 9007474166202611, 'n': 34, 'trace_an': -9}
-
id: 117961034
{'hecke_orbit_code': 9007474166202611, 'n': 35, 'trace_an': 12}
-
id: 117961035
{'hecke_orbit_code': 9007474166202611, 'n': 36, 'trace_an': 0}
-
id: 117961036
{'hecke_orbit_code': 9007474166202611, 'n': 37, 'trace_an': -3}
-
id: 117961037
{'hecke_orbit_code': 9007474166202611, 'n': 38, 'trace_an': -12}
-
id: 117961038
{'hecke_orbit_code': 9007474166202611, 'n': 39, 'trace_an': 0}
-
id: 117961039
{'hecke_orbit_code': 9007474166202611, 'n': 40, 'trace_an': -6}
-
id: 117961040
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