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mf_newforms • Show schema
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{'Nk2': 1944, 'analytic_conductor': 3.8807295382342266, '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': [486, 9, [245], [8]], 'cm_discs': [], 'conrey_index': 55, 'dim': 6, 'field_disc': -19683, 'field_disc_factorization': [[-1, 1], [3, 9]], 'field_poly': [1, 0, 0, -1, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 18, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [9, 0, 9, 3, 0, -3, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007474166202854, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 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': '486.2.e.c', 'level': 486, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '54.2.e.a', 'nf_label': '6.0.19683.1', 'prim_orbit_index': 5, 'qexp_display': 'q+(\\zeta_{18}-\\zeta_{18}^{4})q^{2}-\\zeta_{18}^{5}q^{4}+(1+\\zeta_{18}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c9', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '486.2.e', 'trace_display': [0, 0, 3, -6], 'trace_hash': 450309454073679191, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.076', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.830', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '95.963', 'prec': 20}, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 1944, 'analytic_conductor': 3.8807295382342266, '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': [486, 9, [245], [8]], 'conrey_index': 55, 'cusp_dim': 378, 'dim': 72, 'eis_dim': 216, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 274911461862, 'hecke_orbit_dims': [6, 6, 6, 6, 12, 12, 12, 12], 'label': '486.2.e', 'level': 486, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 594, 'mf_new_dim': 72, 'num_forms': 8, 'prim_orbit_index': 5, 'relative_dim': 12, 'sturm_bound': 162, 'trace_bound': 5, 'trace_display': [0, 0, 0, 0], 'traces': [72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 36, 0, 0, 0, 0, 0, 36, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, -36, 0, 0, -54, 0, 0, -72, 0, 0, -72, 0, 0, -36, 0, 0, -144, 0, 0, 0, 0, 0, -144, 0, 0, -36, 0, 0, -72, 0, 0, -72, 0, 0, -54, 0, 0, -36, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 90, 0, 0, 36, 0, 0, 0, 0, 0, 72, 0, 0, 108, 0, 0, 0, 0, 0, 72, 0, 0, 72, 0, 0, 0, 0, 0, 36, 0, 0, -72, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, -216, 0, 0, 36, 0, 0, -72, 0, 0, 0, 0, 0, -36, 0, 0, 72, 0, 0, 0, 0, 0, 36, 0, 0, 72, 0, 0, 0, 0, 0, 126, 0, 0, 36, 0, 0, 0, 0, 0, 72, 0, 0, 144, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 144, 0, 0, -72, 0, 0, -216, 0, 0, 108, 0, 0, -180, 0, 0, 0, 0, 0, 216, 0, 0, -216, 0, 0, -162, 0, 0, 144, 0, 0, -144, 0, 0, -216, 0, 0, 216, 0, 0, 0, 0, 0, -108, 0, 0, 108, 0, 0, -72, 0, 0, -54, 0, 0, 144, 0, 0, 36, 0, 0, 216, 0, 0, 0, 0, 0, 216, 0, 0, 108, 0, 0, -36, 0, 0, 18, 0, 0, 180, 0, 0, 0, 0, 0, 144, 0, 0, 18, 0, 0, -72, 0, 0, 108, 0, 0, 72, 0, 0, 0, 0, 0, 36, 0, 0, 144, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 72, 0, 0, -72, 0, 0, 108, 0, 0, 144, 0, 0, 0, 0, 0, 180, 0, 0, 108, 0, 0, -36, 0, 0, 72, 0, 0, 216, 0, 0, 0, 0, 0, 36, 0, 0, -72, 0, 0, -432, 0, 0, -144, 0, 0, -144, 0, 0, 0, 0, 0, -180, 0, 0, -288, 0, 0, 0, 0, 0, -72, 0, 0, -252, 0, 0, -432, 0, 0, -270, 0, 0, -72, 0, 0, 0, 0, 0, -270, 0, 0, -180, 0, 0, 0, 0, 0, -252, 0, 0, -108, 0, 0, -432, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 108, 0, 0, 126, 0, 0, -54, 0, 0, 0, 0, 0, -72, 0, 0, 126, 0, 0, 216, 0, 0, 18, 0, 0, 36, 0, 0, 0, 0, 0, 36, 0, 0, 90, 0, 0, 432, 0, 0, 252, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 126, 0, 0, 216, 0, 0, 72, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 36, 0, 0, -36, 0, 0, -72, 0, 0, -72, 0, 0, -72, 0, 0, -72, 0, 0, 0, 0, 0, 18, 0, 0, -54, 0, 0, -216, 0, 0, -108, 0, 0, -198, 0, 0, -504, 0, 0, -288, 0, 0, -324, 0, 0, 0, 0, 0, -306, 0, 0, -252, 0, 0, -504, 0, 0, -180, 0, 0, -72, 0, 0, -216, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -108, 0, 0, -72, 0, 0, -72, 0, 0, 180, 0, 0, 0, 0, 0, -72, 0, 0, 72, 0, 0, 306, 0, 0, 0, 0, 0, 216, 0, 0, 108, 0, 0, 0, 0, 0, 252, 0, 0, 360, 0, 0, 0, 0, 0, 378, 0, 0, 234, 0, 0, -216, 0, 0, 144, 0, 0, 468, 0, 0, 0, 0, 0, 252, 0, 0, 36, 0, 0, 0, 0, 0, 216, 0, 0, 252, 0, 0, 72, 0, 0, 288, 0, 0, 36, 0, 0, 216, 0, 0, -36, 0, 0, 72, 0, 0, 216, 0, 0, 72, 0, 0, -36, 0, 0, 1008, 0, 0, -162, 0, 0, 0, 0, 0, 108, 0, 0, -144, 0, 0, -180, 0, 0, 432, 0, 0, -36, 0, 0, 0, 0, 0, 864, 0, 0, 0, 0, 0, -72, 0, 0, 432, 0, 0, -180, 0, 0, -252, 0, 0, 108, 0, 0, 0, 0, 0, -144, 0, 0, 1008, 0, 0, -144, 0, 0, -108, 0, 0, 216, 0, 0, -396, 0, 0, 72, 0, 0, 0, 0, 0, 36, 0, 0, -144, 0, 0, 72, 0, 0, 36, 0, 0, 288, 0, 0, -432, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 72, 0, 0, 0, 0, 0, 288, 0, 0, -90, 0, 0, 0, 0, 0, 0, 0, 0, 324, 0, 0, -432, 0, 0, 0, 0, 0, -108, 0, 0, -216, 0, 0, -180, 0, 0, -144, 0, 0, -216, 0, 0, -36, 0, 0, -468, 0, 0, 0, 0, 0, -414, 0, 0, -216, 0, 0, -864, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, -324, 0, 0, 36, 0, 0, 0, 0, 0, -180, 0, 0, -180, 0, 0, -432, 0, 0, -180, 0, 0, -180, 0, 0, 0, 0, 0, 72, 0, 0, -162, 0, 0, 0, 0, 0, 162, 0, 0, -180, 0, 0, -720, 0, 0, -144, 0, 0, 108, 0, 0, 0, 0, 0, -126, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 180, 0, 0, -216, 0, 0, 468, 0, 0, 108, 0, 0, 216, 0, 0, 396, 0, 0, 360, 0, 0, 0, 0, 0, 396, 0, 0, 396, 0, 0, 144, 0, 0, 36, 0, 0, 504, 0, 0, 0, 0, 0, 504, 0, 0, 180, 0, 0, 144, 0, 0, 216, 0, 0, 360, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 40816873
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474166202854, 'source_is_minimal': False, 'source_label': '486.2.e.c.271.1', 'source_level': 486, 'target_conrey_index': 271, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202854, 'target_is_minimal': False, 'target_label': '486.2.e.c.271.1', 'target_level': 486, 'twist_class_label': '54.2.e.a.43.1', 'twist_class_level': 54, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 40816874
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474166202854, 'source_is_minimal': False, 'source_label': '486.2.e.c.271.1', 'source_level': 486, 'target_conrey_index': 271, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832358, 'target_is_minimal': False, 'target_label': '486.2.e.b.271.1', 'target_level': 486, 'twist_class_label': '54.2.e.a.43.1', 'twist_class_level': 54, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40816875
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474166202854, 'source_is_minimal': False, 'source_label': '486.2.e.c.271.1', 'source_level': 486, 'target_conrey_index': 49, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461430, 'target_is_minimal': True, 'target_label': '54.2.e.a.49.1', 'target_level': 54, 'twist_class_label': '54.2.e.a.43.1', 'twist_class_level': 54, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40816876
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474166202854, 'source_is_minimal': False, 'source_label': '486.2.e.c.271.1', 'source_level': 486, 'target_conrey_index': 433, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461862, 'target_is_minimal': False, 'target_label': '486.2.e.a.433.1', 'target_level': 486, 'twist_class_label': '54.2.e.a.43.1', 'twist_class_level': 54, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 40816877
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474166202854, 'source_is_minimal': False, 'source_label': '486.2.e.c.271.1', 'source_level': 486, 'target_conrey_index': 433, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511073793573350, 'target_is_minimal': False, 'target_label': '486.2.e.d.433.1', 'target_level': 486, 'twist_class_label': '54.2.e.a.43.1', 'twist_class_level': 54, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 40816878
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474166202854, 'source_is_minimal': False, 'source_label': '486.2.e.c.271.1', 'source_level': 486, 'target_conrey_index': 37, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461538, 'target_is_minimal': False, 'target_label': '162.2.e.a.37.1', 'target_level': 162, 'twist_class_label': '54.2.e.a.43.1', 'twist_class_level': 54, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 40816879
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474166202854, 'source_is_minimal': False, 'source_label': '486.2.e.c.271.1', 'source_level': 486, 'target_conrey_index': 217, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832358, 'target_is_minimal': False, 'target_label': '486.2.e.b.217.1', 'target_level': 486, 'twist_class_label': '54.2.e.a.43.1', 'twist_class_level': 54, 'twisting_char_label': '27.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40816880
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474166202854, 'source_is_minimal': False, 'source_label': '486.2.e.c.271.1', 'source_level': 486, 'target_conrey_index': 487, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 137472509362, 'target_is_minimal': False, 'target_label': '1458.2.c.a.487.2', 'target_level': 1458, 'twist_class_label': '54.2.e.a.43.1', 'twist_class_level': 54, 'twisting_char_label': '27.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 40816881
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474166202854, 'source_is_minimal': False, 'source_label': '486.2.e.c.271.1', 'source_level': 486, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 33555890, 'target_is_minimal': False, 'target_label': '1458.2.a.a.1.2', 'target_level': 1458, 'twist_class_label': '54.2.e.a.43.1', 'twist_class_level': 54, 'twisting_char_label': '27.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 40816882
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474166202854, 'source_is_minimal': False, 'source_label': '486.2.e.c.271.1', 'source_level': 486, 'target_conrey_index': 127, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461538, 'target_is_minimal': False, 'target_label': '162.2.e.a.127.1', 'target_level': 162, 'twist_class_label': '54.2.e.a.43.1', 'twist_class_level': 54, 'twisting_char_label': '27.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 40816883
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474166202854, 'source_is_minimal': False, 'source_label': '486.2.e.c.271.1', 'source_level': 486, 'target_conrey_index': 55, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511073793573350, 'target_is_minimal': False, 'target_label': '486.2.e.d.55.1', 'target_level': 486, 'twist_class_label': '54.2.e.a.43.1', 'twist_class_level': 54, 'twisting_char_label': '27.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 40816884
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474166202854, 'source_is_minimal': False, 'source_label': '486.2.e.c.271.1', 'source_level': 486, 'target_conrey_index': 973, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 137472509362, 'target_is_minimal': False, 'target_label': '1458.2.c.a.973.2', 'target_level': 1458, 'twist_class_label': '54.2.e.a.43.1', 'twist_class_level': 54, 'twisting_char_label': '27.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 40816885
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474166202854, 'source_is_minimal': False, 'source_label': '486.2.e.c.271.1', 'source_level': 486, 'target_conrey_index': 973, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510936354620850, 'target_is_minimal': False, 'target_label': '1458.2.c.d.973.2', 'target_level': 1458, 'twist_class_label': '54.2.e.a.43.1', 'twist_class_level': 54, 'twisting_char_label': '27.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 40816886
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474166202854, 'source_is_minimal': False, 'source_label': '486.2.e.c.271.1', 'source_level': 486, 'target_conrey_index': 55, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461862, 'target_is_minimal': False, 'target_label': '486.2.e.a.55.1', 'target_level': 486, 'twist_class_label': '54.2.e.a.43.1', 'twist_class_level': 54, 'twisting_char_label': '27.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 40816887
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474166202854, 'source_is_minimal': False, 'source_label': '486.2.e.c.271.1', 'source_level': 486, 'target_conrey_index': 43, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461430, 'target_is_minimal': True, 'target_label': '54.2.e.a.43.1', 'target_level': 54, 'twist_class_label': '54.2.e.a.43.1', 'twist_class_level': 54, 'twisting_char_label': '27.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 40816888
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474166202854, 'source_is_minimal': False, 'source_label': '486.2.e.c.271.1', 'source_level': 486, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510798915667378, 'target_is_minimal': False, 'target_label': '1458.2.a.d.1.2', 'target_level': 1458, 'twist_class_label': '54.2.e.a.43.1', 'twist_class_level': 54, 'twisting_char_label': '27.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 40816889
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474166202854, 'source_is_minimal': False, 'source_label': '486.2.e.c.271.1', 'source_level': 486, 'target_conrey_index': 487, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510936354620850, 'target_is_minimal': False, 'target_label': '1458.2.c.d.487.2', 'target_level': 1458, 'twist_class_label': '54.2.e.a.43.1', 'twist_class_level': 54, 'twisting_char_label': '27.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 40816890
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474166202854, 'source_is_minimal': False, 'source_label': '486.2.e.c.271.1', 'source_level': 486, 'target_conrey_index': 217, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202854, 'target_is_minimal': False, 'target_label': '486.2.e.c.217.1', 'target_level': 486, 'twist_class_label': '54.2.e.a.43.1', 'twist_class_level': 54, 'twisting_char_label': '27.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 40816891
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474166202854, 'source_is_minimal': False, 'source_label': '486.2.e.c.271.1', 'source_level': 486, 'target_conrey_index': 49, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1374423089584, 'target_is_minimal': False, 'target_label': '432.2.u.a.49.1', 'target_level': 432, 'twist_class_label': '54.2.e.a.43.1', 'twist_class_level': 54, 'twisting_char_label': '36.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 40816892
{'conductor': 108, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474166202854, 'source_is_minimal': False, 'source_label': '486.2.e.c.271.1', 'source_level': 486, 'target_conrey_index': 97, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1374423089584, 'target_is_minimal': False, 'target_label': '432.2.u.a.97.1', 'target_level': 432, 'twist_class_label': '54.2.e.a.43.1', 'twist_class_level': 54, 'twisting_char_label': '108.47', 'twisting_conrey_index': 47, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 954150
{'charpoly_factorization': [[[1, 0, 0, 1, 0, 0, 1], 1]], 'hecke_orbit_code': 9007474166202854, 'p': 2}
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id: 954151
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 9007474166202854, 'p': 3}
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id: 954152
{'charpoly_factorization': [[[9, 0, 9, 3, 0, -3, 1], 1]], 'hecke_orbit_code': 9007474166202854, 'p': 5}
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id: 954153
{'charpoly_factorization': [[[1, -15, 60, 35, 21, 6, 1], 1]], 'hecke_orbit_code': 9007474166202854, 'p': 7}
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id: 954154
{'charpoly_factorization': [[[3249, 3078, 1521, 489, 108, 15, 1], 1]], 'hecke_orbit_code': 9007474166202854, 'p': 11}
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id: 954155
{'charpoly_factorization': [[[289, -714, 786, -271, 42, -6, 1], 1]], 'hecke_orbit_code': 9007474166202854, 'p': 13}
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id: 954156
{'charpoly_factorization': [[[25281, -4293, 1683, -156, 63, -6, 1], 1]], 'hecke_orbit_code': 9007474166202854, 'p': 17}
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id: 954157
{'charpoly_factorization': [[[32041, -2148, 1755, -250, 93, -9, 1], 1]], 'hecke_orbit_code': 9007474166202854, 'p': 19}
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id: 954158
{'charpoly_factorization': [[[9, 0, 90, 105, 54, 12, 1], 1]], 'hecke_orbit_code': 9007474166202854, 'p': 23}
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id: 954159
{'charpoly_factorization': [[[9, -108, 387, -159, 36, -3, 1], 1]], 'hecke_orbit_code': 9007474166202854, 'p': 29}
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id: 954160
{'charpoly_factorization': [[[5041, -6390, 3636, -820, 90, -9, 1], 1]], 'hecke_orbit_code': 9007474166202854, 'p': 31}
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id: 954161
{'charpoly_factorization': [[[289, 918, 3171, -844, 171, -15, 1], 1]], 'hecke_orbit_code': 9007474166202854, 'p': 37}
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id: 954162
{'charpoly_factorization': [[[47961, 29565, 9486, 1920, 270, 24, 1], 1]], 'hecke_orbit_code': 9007474166202854, 'p': 41}
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id: 954163
{'charpoly_factorization': [[[64, -288, 576, -424, 108, 0, 1], 1]], 'hecke_orbit_code': 9007474166202854, 'p': 43}
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id: 954164
{'charpoly_factorization': [[[81, 162, 81, 9, 36, -9, 1], 1]], 'hecke_orbit_code': 9007474166202854, 'p': 47}
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id: 954165
{'charpoly_factorization': [[[-3, -9, -6, 1], 2]], 'hecke_orbit_code': 9007474166202854, 'p': 53}
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id: 954166
{'charpoly_factorization': [[[3249, -4617, 3006, -840, 135, -15, 1], 1]], 'hecke_orbit_code': 9007474166202854, 'p': 59}
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id: 954167
{'charpoly_factorization': [[[2809, 1908, 216, -622, 144, -9, 1], 1]], 'hecke_orbit_code': 9007474166202854, 'p': 61}
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id: 954168
{'charpoly_factorization': [[[1, -36, 549, 323, 72, 9, 1], 1]], 'hecke_orbit_code': 9007474166202854, 'p': 67}
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id: 954169
{'charpoly_factorization': [[[106929, 14715, 5949, 114, 189, 12, 1], 1]], 'hecke_orbit_code': 9007474166202854, 'p': 71}
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id: 954170
{'charpoly_factorization': [[[72361, -30666, 13803, -196, 123, -3, 1], 1]], 'hecke_orbit_code': 9007474166202854, 'p': 73}
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id: 954171
{'charpoly_factorization': [[[466489, -47127, -5028, -199, 159, -6, 1], 1]], 'hecke_orbit_code': 9007474166202854, 'p': 79}
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id: 954172
{'charpoly_factorization': [[[5184, 2592, 1296, 576, 144, 18, 1], 1]], 'hecke_orbit_code': 9007474166202854, 'p': 83}
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id: 954173
{'charpoly_factorization': [[[25281, 5724, 3681, -858, 189, -15, 1], 1]], 'hecke_orbit_code': 9007474166202854, 'p': 89}
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id: 954174
{'charpoly_factorization': [[[16129, -1524, -1194, -172, 114, 3, 1], 1]], 'hecke_orbit_code': 9007474166202854, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 3, 'label': '486.2.e.c', 'level': 486, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 30456361
{'hecke_orbit_code': 9007474166202854, 'n': 1, 'trace_an': 6}
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id: 30456362
{'hecke_orbit_code': 9007474166202854, 'n': 2, 'trace_an': 0}
-
id: 30456363
{'hecke_orbit_code': 9007474166202854, 'n': 3, 'trace_an': 0}
-
id: 30456364
{'hecke_orbit_code': 9007474166202854, 'n': 4, 'trace_an': 0}
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id: 30456365
{'hecke_orbit_code': 9007474166202854, 'n': 5, 'trace_an': 3}
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id: 30456366
{'hecke_orbit_code': 9007474166202854, 'n': 6, 'trace_an': 0}
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id: 30456367
{'hecke_orbit_code': 9007474166202854, 'n': 7, 'trace_an': -6}
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id: 30456368
{'hecke_orbit_code': 9007474166202854, 'n': 8, 'trace_an': -3}
-
id: 30456369
{'hecke_orbit_code': 9007474166202854, 'n': 9, 'trace_an': 0}
-
id: 30456370
{'hecke_orbit_code': 9007474166202854, 'n': 10, 'trace_an': 3}
-
id: 30456371
{'hecke_orbit_code': 9007474166202854, 'n': 11, 'trace_an': -15}
-
id: 30456372
{'hecke_orbit_code': 9007474166202854, 'n': 12, 'trace_an': 0}
-
id: 30456373
{'hecke_orbit_code': 9007474166202854, 'n': 13, 'trace_an': 6}
-
id: 30456374
{'hecke_orbit_code': 9007474166202854, 'n': 14, 'trace_an': 3}
-
id: 30456375
{'hecke_orbit_code': 9007474166202854, 'n': 15, 'trace_an': 0}
-
id: 30456376
{'hecke_orbit_code': 9007474166202854, 'n': 16, 'trace_an': 0}
-
id: 30456377
{'hecke_orbit_code': 9007474166202854, 'n': 17, 'trace_an': 6}
-
id: 30456378
{'hecke_orbit_code': 9007474166202854, 'n': 18, 'trace_an': 0}
-
id: 30456379
{'hecke_orbit_code': 9007474166202854, 'n': 19, 'trace_an': 9}
-
id: 30456380
{'hecke_orbit_code': 9007474166202854, 'n': 20, 'trace_an': 3}
-
id: 30456381
{'hecke_orbit_code': 9007474166202854, 'n': 21, 'trace_an': 0}
-
id: 30456382
{'hecke_orbit_code': 9007474166202854, 'n': 22, 'trace_an': -15}
-
id: 30456383
{'hecke_orbit_code': 9007474166202854, 'n': 23, 'trace_an': -12}
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id: 30456384
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