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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, '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, -27, 81, -117, 63, 36, -21, -27, 9, 6, 3, 3, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 274911461619, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 27, 5, 1, 9, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '243.2.e.a', 'level': 243, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'minimal_twist': '27.2.e.a', 'nf_label': '12.0.1952986685049.1', 'prim_orbit_index': 5, 'qexp_display': 'q+(-\\beta _{2}-\\beta _{8}-\\beta _{11})q^{2}+(-1-\\beta _{1}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c9', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '243.2.e', 'trace_display': [-3, 0, -6, 3], 'trace_hash': 1233186984035508499, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.007', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.723', 'prec': 20}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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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_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, '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: 2456961
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461619, 'source_is_minimal': False, 'source_label': '243.2.e.a.136.2', 'source_level': 243, 'target_conrey_index': 136, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 274911461619, 'target_is_minimal': False, 'target_label': '243.2.e.a.136.2', 'target_level': 243, 'twist_class_label': '27.2.e.a.4.2', 'twist_class_level': 27, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 2456962
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 136, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461619, 'source_is_minimal': False, 'source_label': '243.2.e.a.136.2', 'source_level': 243, 'target_conrey_index': 136, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511073793573107, 'target_is_minimal': False, 'target_label': '243.2.e.d.136.1', 'target_level': 243, 'twist_class_label': '27.2.e.a.4.2', 'twist_class_level': 27, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 2456963
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 136, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461619, 'source_is_minimal': False, 'source_label': '243.2.e.a.136.2', 'source_level': 243, 'target_conrey_index': 217, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202611, 'target_is_minimal': False, 'target_label': '243.2.e.c.217.1', 'target_level': 243, 'twist_class_label': '27.2.e.a.4.2', 'twist_class_level': 27, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 2456964
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461619, 'source_is_minimal': False, 'source_label': '243.2.e.a.136.2', 'source_level': 243, 'target_conrey_index': 19, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461457, 'target_is_minimal': False, 'target_label': '81.2.e.a.19.1', 'target_level': 81, 'twist_class_label': '27.2.e.a.4.2', 'twist_class_level': 27, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 2456965
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 136, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461619, 'source_is_minimal': False, 'source_label': '243.2.e.a.136.2', 'source_level': 243, 'target_conrey_index': 7, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 274911461403, 'target_is_minimal': True, 'target_label': '27.2.e.a.7.2', 'target_level': 27, 'twist_class_label': '27.2.e.a.4.2', 'twist_class_level': 27, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 2456966
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461619, 'source_is_minimal': False, 'source_label': '243.2.e.a.136.2', 'source_level': 243, 'target_conrey_index': 217, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503874538832115, 'target_is_minimal': False, 'target_label': '243.2.e.b.217.2', 'target_level': 243, 'twist_class_label': '27.2.e.a.4.2', 'twist_class_level': 27, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 2456967
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 136, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461619, 'source_is_minimal': False, 'source_label': '243.2.e.a.136.2', 'source_level': 243, 'target_conrey_index': 244, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18014535981990617, 'target_is_minimal': False, 'target_label': '729.2.c.e.244.4', 'target_level': 729, 'twist_class_label': '27.2.e.a.4.2', 'twist_class_level': 27, 'twisting_char_label': '27.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 2456968
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461619, 'source_is_minimal': False, 'source_label': '243.2.e.a.136.2', 'source_level': 243, 'target_conrey_index': 28, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503874538832115, 'target_is_minimal': False, 'target_label': '243.2.e.b.28.2', 'target_level': 243, 'twist_class_label': '27.2.e.a.4.2', 'twist_class_level': 27, 'twisting_char_label': '27.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 2456969
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 136, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461619, 'source_is_minimal': False, 'source_label': '243.2.e.a.136.2', 'source_level': 243, 'target_conrey_index': 109, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511073793573107, 'target_is_minimal': False, 'target_label': '243.2.e.d.109.1', 'target_level': 243, 'twist_class_label': '27.2.e.a.4.2', 'twist_class_level': 27, 'twisting_char_label': '27.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 2456970
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461619, 'source_is_minimal': False, 'source_label': '243.2.e.a.136.2', 'source_level': 243, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13510798915666649, 'target_is_minimal': False, 'target_label': '729.2.a.d.1.4', 'target_level': 729, 'twist_class_label': '27.2.e.a.4.2', 'twist_class_level': 27, 'twisting_char_label': '27.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 2456971
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 136, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461619, 'source_is_minimal': False, 'source_label': '243.2.e.a.136.2', 'source_level': 243, 'target_conrey_index': 487, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18014535981990617, 'target_is_minimal': False, 'target_label': '729.2.c.e.487.4', 'target_level': 729, 'twist_class_label': '27.2.e.a.4.2', 'twist_class_level': 27, 'twisting_char_label': '27.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 2456972
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461619, 'source_is_minimal': False, 'source_label': '243.2.e.a.136.2', 'source_level': 243, 'target_conrey_index': 64, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461457, 'target_is_minimal': False, 'target_label': '81.2.e.a.64.1', 'target_level': 81, 'twist_class_label': '27.2.e.a.4.2', 'twist_class_level': 27, 'twisting_char_label': '27.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 2456973
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 136, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461619, 'source_is_minimal': False, 'source_label': '243.2.e.a.136.2', 'source_level': 243, 'target_conrey_index': 4, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 274911461403, 'target_is_minimal': True, 'target_label': '27.2.e.a.4.2', 'target_level': 27, 'twist_class_label': '27.2.e.a.4.2', 'twist_class_level': 27, 'twisting_char_label': '27.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 2456974
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461619, 'source_is_minimal': False, 'source_label': '243.2.e.a.136.2', 'source_level': 243, 'target_conrey_index': 487, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503737099879129, 'target_is_minimal': False, 'target_label': '729.2.c.b.487.3', 'target_level': 729, 'twist_class_label': '27.2.e.a.4.2', 'twist_class_level': 27, 'twisting_char_label': '27.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 2456975
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 136, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461619, 'source_is_minimal': False, 'source_label': '243.2.e.a.136.2', 'source_level': 243, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 33555161, 'target_is_minimal': False, 'target_label': '729.2.a.a.1.3', 'target_level': 729, 'twist_class_label': '27.2.e.a.4.2', 'twist_class_level': 27, 'twisting_char_label': '27.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 2456976
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461619, 'source_is_minimal': False, 'source_label': '243.2.e.a.136.2', 'source_level': 243, 'target_conrey_index': 109, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 274911461619, 'target_is_minimal': False, 'target_label': '243.2.e.a.109.2', 'target_level': 243, 'twist_class_label': '27.2.e.a.4.2', 'twist_class_level': 27, 'twisting_char_label': '27.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 2456977
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 136, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461619, 'source_is_minimal': False, 'source_label': '243.2.e.a.136.2', 'source_level': 243, 'target_conrey_index': 28, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202611, 'target_is_minimal': False, 'target_label': '243.2.e.c.28.1', 'target_level': 243, 'twist_class_label': '27.2.e.a.4.2', 'twist_class_level': 27, 'twisting_char_label': '27.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 2456978
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461619, 'source_is_minimal': False, 'source_label': '243.2.e.a.136.2', 'source_level': 243, 'target_conrey_index': 244, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503737099879129, 'target_is_minimal': False, 'target_label': '729.2.c.b.244.3', 'target_level': 729, 'twist_class_label': '27.2.e.a.4.2', 'twist_class_level': 27, 'twisting_char_label': '27.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 2456979
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461619, 'source_is_minimal': False, 'source_label': '243.2.e.a.136.2', 'source_level': 243, 'target_conrey_index': 385, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008573677830576, 'target_is_minimal': False, 'target_label': '432.2.u.c.385.2', 'target_level': 432, 'twist_class_label': '27.2.e.a.4.2', 'twist_class_level': 27, 'twisting_char_label': '36.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 2456980
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 136, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461619, 'source_is_minimal': False, 'source_label': '243.2.e.a.136.2', 'source_level': 243, 'target_conrey_index': 601, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007955202540195, 'target_is_minimal': False, 'target_label': '675.2.l.c.601.1', 'target_level': 675, 'twist_class_label': '27.2.e.a.4.2', 'twist_class_level': 27, 'twisting_char_label': '45.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 2456981
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461619, 'source_is_minimal': False, 'source_label': '243.2.e.a.136.2', 'source_level': 243, 'target_conrey_index': 574, 'target_dim': 24, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504974050460323, 'target_is_minimal': False, 'target_label': '675.2.u.b.574.2', 'target_level': 675, 'twist_class_label': '27.2.e.a.4.2', 'twist_class_level': 27, 'twisting_char_label': '45.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 2456982
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461619, 'source_is_minimal': False, 'source_label': '243.2.e.a.136.2', 'source_level': 243, 'target_conrey_index': 574, 'target_dim': 24, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504974050460323, 'target_is_minimal': False, 'target_label': '675.2.u.b.574.3', 'target_level': 675, 'twist_class_label': '27.2.e.a.4.2', 'twist_class_level': 27, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 2456983
{'conductor': 108, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461619, 'source_is_minimal': False, 'source_label': '243.2.e.a.136.2', 'source_level': 243, 'target_conrey_index': 193, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008573677830576, 'target_is_minimal': False, 'target_label': '432.2.u.c.193.2', 'target_level': 432, 'twist_class_label': '27.2.e.a.4.2', 'twist_class_level': 27, 'twisting_char_label': '108.95', 'twisting_conrey_index': 95, 'weight': 2}
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id: 2456984
{'conductor': 135, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 136, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461619, 'source_is_minimal': False, 'source_label': '243.2.e.a.136.2', 'source_level': 243, 'target_conrey_index': 301, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007955202540195, 'target_is_minimal': False, 'target_label': '675.2.l.c.301.1', 'target_level': 675, 'twist_class_label': '27.2.e.a.4.2', 'twist_class_level': 27, 'twisting_char_label': '135.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 2456985
{'conductor': 135, 'degree': 12, 'order': 36, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461619, 'source_is_minimal': False, 'source_label': '243.2.e.a.136.2', 'source_level': 243, 'target_conrey_index': 274, 'target_dim': 24, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504974050460323, 'target_is_minimal': False, 'target_label': '675.2.u.b.274.3', 'target_level': 675, 'twist_class_label': '27.2.e.a.4.2', 'twist_class_level': 27, 'twisting_char_label': '135.68', 'twisting_conrey_index': 68, 'weight': 2}
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id: 2456986
{'conductor': 135, 'degree': 12, 'order': 36, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461619, 'source_is_minimal': False, 'source_label': '243.2.e.a.136.2', 'source_level': 243, 'target_conrey_index': 274, 'target_dim': 24, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504974050460323, 'target_is_minimal': False, 'target_label': '675.2.u.b.274.2', 'target_level': 675, 'twist_class_label': '27.2.e.a.4.2', 'twist_class_level': 27, 'twisting_char_label': '135.122', 'twisting_conrey_index': 122, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 572175
{'charpoly_factorization': [[[9, -27, 81, -117, 63, 36, -21, -27, 9, 6, 3, 3, 1], 1]], 'hecke_orbit_code': 274911461619, 'p': 2}
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id: 572176
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 274911461619, 'p': 3}
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id: 572177
{'charpoly_factorization': [[[9, 54, 1134, 2439, 2250, 1287, 681, 279, 63, 12, 12, 6, 1], 1]], 'hecke_orbit_code': 274911461619, 'p': 5}
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id: 572178
{'charpoly_factorization': [[[289, 714, 429, -812, -450, 540, 84, -171, 162, -65, 21, -3, 1], 1]], 'hecke_orbit_code': 274911461619, 'p': 7}
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id: 572179
{'charpoly_factorization': [[[9, 27, -81, -36, 1386, 414, 735, 558, 63, 6, 21, -6, 1], 1]], 'hecke_orbit_code': 274911461619, 'p': 11}
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id: 572180
{'charpoly_factorization': [[[1, 21, 3102, 5452, 4734, -108, 948, -819, 243, 79, -24, -3, 1], 1]], 'hecke_orbit_code': 274911461619, 'p': 13}
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id: 572181
{'charpoly_factorization': [[[729, 2187, 8019, -1458, 7047, 1701, 2727, 567, 621, 189, 72, 9, 1], 1]], 'hecke_orbit_code': 274911461619, 'p': 17}
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id: 572182
{'charpoly_factorization': [[[361, 2280, 11208, 21604, 33354, 873, 6162, 252, 846, -14, 39, 3, 1], 1]], 'hecke_orbit_code': 274911461619, 'p': 19}
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id: 572183
{'charpoly_factorization': [[[106929, 247212, 169776, -78264, -98406, 27720, 24225, -13914, 4464, -888, 138, -12, 1], 1]], 'hecke_orbit_code': 274911461619, 'p': 23}
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id: 572184
{'charpoly_factorization': [[[45369, -61344, -151632, 692946, 915687, -786960, 345039, -100386, 20880, -3090, 327, -24, 1], 1]], 'hecke_orbit_code': 274911461619, 'p': 29}
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id: 572185
{'charpoly_factorization': [[[26569, 22494, 16404, -1352, 21501, -10665, 7023, 963, 108, 241, 12, -12, 1], 1]], 'hecke_orbit_code': 274911461619, 'p': 31}
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id: 572186
{'charpoly_factorization': [[[24334489, 19105509, 12573093, 4411480, 1506987, 331353, 90807, 15399, 3519, 337, 66, 3, 1], 1]], 'hecke_orbit_code': 274911461619, 'p': 37}
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id: 572187
{'charpoly_factorization': [[[11229201, 29254230, 31283172, 17579412, 6172803, 1596987, 417561, 50031, 5814, 327, -6, 6, 1], 1]], 'hecke_orbit_code': 274911461619, 'p': 41}
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id: 572188
{'charpoly_factorization': [[[3308761, 24692925, 54952764, 13950466, 3541545, 931095, 137541, 17541, 4347, 772, 138, 15, 1], 1]], 'hecke_orbit_code': 274911461619, 'p': 43}
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id: 572189
{'charpoly_factorization': [[[42732369, 57009177, 45261585, 24482295, 8040582, 1324089, 87216, 18342, 10620, 1842, 147, 12, 1], 1]], 'hecke_orbit_code': 274911461619, 'p': 47}
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id: 572190
{'charpoly_factorization': [[[-12393, 2916, 4617, 513, -108, -9, 1], 2]], 'hecke_orbit_code': 274911461619, 'p': 53}
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id: 572191
{'charpoly_factorization': [[[176384961, -282088440, 228090411, -109668564, 36922050, -8350650, 1130874, -42327, -8010, 849, -15, -3, 1], 1]], 'hecke_orbit_code': 274911461619, 'p': 59}
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id: 572192
{'charpoly_factorization': [[[273670849, 457430493, 179562345, -33934979, 13846851, 6023916, 1440291, 380097, 69687, 7756, 633, 33, 1], 1]], 'hecke_orbit_code': 274911461619, 'p': 61}
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id: 572193
{'charpoly_factorization': [[[8288641, -3610266, 10480110, 112426, -566991, -178281, 969573, 6903, -9180, -443, -6, 6, 1], 1]], 'hecke_orbit_code': 274911461619, 'p': 67}
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id: 572194
{'charpoly_factorization': [[[729, -6561, 78003, 144342, 604827, -231093, 400761, 147015, 38205, 5103, 504, 27, 1], 1]], 'hecke_orbit_code': 274911461619, 'p': 71}
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id: 572195
{'charpoly_factorization': [[[185761, 619347, 3782073, -5509508, 16156512, 498510, 746232, 2871, 27792, 544, 210, -6, 1], 1]], 'hecke_orbit_code': 274911461619, 'p': 73}
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id: 572196
{'charpoly_factorization': [[[3508129, -9046590, 24350064, -30480464, 20461122, 2217915, -932712, -14994, 19440, -2198, 255, -21, 1], 1]], 'hecke_orbit_code': 274911461619, 'p': 79}
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id: 572197
{'charpoly_factorization': [[[6951057129, -4485634146, 1777646736, -462191166, 131905323, -21181977, 2980617, -366309, 12564, 2589, -186, -6, 1], 1]], 'hecke_orbit_code': 274911461619, 'p': 83}
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id: 572198
{'charpoly_factorization': [[[1062042921, 992530584, 765665784, 218178036, 61794900, 6160293, 1737990, 125712, 36666, 432, 261, 9, 1], 1]], 'hecke_orbit_code': 274911461619, 'p': 89}
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id: 572199
{'charpoly_factorization': [[[66765241, -374338023, 619238670, -98884478, 37439883, -3317463, 778089, -136035, 29889, -5276, 624, -39, 1], 1]], 'hecke_orbit_code': 274911461619, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 5, 'hecke_orbit': 1, 'label': '243.2.e.a', 'level': 243, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 7469940
{'hecke_orbit_code': 274911461619, 'n': 1, 'trace_an': 12}
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id: 7469941
{'hecke_orbit_code': 274911461619, 'n': 2, 'trace_an': -3}
-
id: 7469942
{'hecke_orbit_code': 274911461619, 'n': 3, 'trace_an': 0}
-
id: 7469943
{'hecke_orbit_code': 274911461619, 'n': 4, 'trace_an': 3}
-
id: 7469944
{'hecke_orbit_code': 274911461619, 'n': 5, 'trace_an': -6}
-
id: 7469945
{'hecke_orbit_code': 274911461619, 'n': 6, 'trace_an': 0}
-
id: 7469946
{'hecke_orbit_code': 274911461619, 'n': 7, 'trace_an': 3}
-
id: 7469947
{'hecke_orbit_code': 274911461619, 'n': 8, 'trace_an': -6}
-
id: 7469948
{'hecke_orbit_code': 274911461619, 'n': 9, 'trace_an': 0}
-
id: 7469949
{'hecke_orbit_code': 274911461619, 'n': 10, 'trace_an': -3}
-
id: 7469950
{'hecke_orbit_code': 274911461619, 'n': 11, 'trace_an': 6}
-
id: 7469951
{'hecke_orbit_code': 274911461619, 'n': 12, 'trace_an': 0}
-
id: 7469952
{'hecke_orbit_code': 274911461619, 'n': 13, 'trace_an': 3}
-
id: 7469953
{'hecke_orbit_code': 274911461619, 'n': 14, 'trace_an': 21}
-
id: 7469954
{'hecke_orbit_code': 274911461619, 'n': 15, 'trace_an': 0}
-
id: 7469955
{'hecke_orbit_code': 274911461619, 'n': 16, 'trace_an': 9}
-
id: 7469956
{'hecke_orbit_code': 274911461619, 'n': 17, 'trace_an': -9}
-
id: 7469957
{'hecke_orbit_code': 274911461619, 'n': 18, 'trace_an': 0}
-
id: 7469958
{'hecke_orbit_code': 274911461619, 'n': 19, 'trace_an': -3}
-
id: 7469959
{'hecke_orbit_code': 274911461619, 'n': 20, 'trace_an': -24}
-
id: 7469960
{'hecke_orbit_code': 274911461619, 'n': 21, 'trace_an': 0}
-
id: 7469961
{'hecke_orbit_code': 274911461619, 'n': 22, 'trace_an': 12}
-
id: 7469962
{'hecke_orbit_code': 274911461619, 'n': 23, 'trace_an': 12}
-
id: 7469963
{'hecke_orbit_code': 274911461619, 'n': 24, 'trace_an': 0}
-
id: 7469964
{'hecke_orbit_code': 274911461619, 'n': 25, 'trace_an': 12}
-
id: 7469965
{'hecke_orbit_code': 274911461619, 'n': 26, 'trace_an': 30}
-
id: 7469966
{'hecke_orbit_code': 274911461619, 'n': 27, 'trace_an': 0}
-
id: 7469967
{'hecke_orbit_code': 274911461619, 'n': 28, 'trace_an': -12}
-
id: 7469968
{'hecke_orbit_code': 274911461619, 'n': 29, 'trace_an': 24}
-
id: 7469969
{'hecke_orbit_code': 274911461619, 'n': 30, 'trace_an': 0}
-
id: 7469970
{'hecke_orbit_code': 274911461619, 'n': 31, 'trace_an': 12}
-
id: 7469971
{'hecke_orbit_code': 274911461619, 'n': 32, 'trace_an': -27}
-
id: 7469972
{'hecke_orbit_code': 274911461619, 'n': 33, 'trace_an': 0}
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id: 7469973
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id: 7470176
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id: 7470177
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id: 7470178
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id: 7470179
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id: 7470180
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id: 7470181
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id: 7470182
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id: 7470183
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id: 7470184
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id: 7470185
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id: 7470186
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id: 7470187
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id: 7470188
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id: 7470189
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id: 7470190
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id: 7470191
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id: 7470192
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id: 7470193
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id: 7470194
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id: 7470195
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id: 7470196
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id: 7470197
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