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  • lfunc_lfunctions • Show schema
    {'Lhash': '2543725889734429022824889110674', 'a10': [-168.0, -290.9845356715714], 'a2': [2.0, -3.4641016151377544], 'a3': [5.0, 8.660254037844387], 'a4': [-8.0, -13.856406460551018], 'a5': [42.0, -72.74613391789285], 'a6': [40.0, 1.2446030555722283e-60], 'a7': [0.0, 0.0], 'a8': [-64.0, 0.0], 'a9': [71.5, -123.84163274117472], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 15.717614341672105, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.5', 'prec': 7}, 'bad_lfactors': [[2, [[1.0, 0], [-2.0, 3.4641016151377544]]], [7, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 7], 'central_character': '98.79', 'coefficient_field': 'CDF', 'conductor': 98, 'conductor_radical': 14, 'conjugate': '1121674369649428581922440641270', 'degree': 2, 'euler_factors': [[[1.0, 0], [-2.0, 3.4641016151377544]], [[1.0, 0], [-5.0, -8.660254037844387], [-121.5, 210.4441731196186]], [[1.0, 0], [-42.0, 72.74613391789285], [-1562.5, -2706.329386826371]], [[1.0, 0], [0, 0]], [[1.0, 0], [-168.0, 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0.9637447597586795*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.292987427225', 'prec': 40}, 'spectral_label': 'c5-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.00664590801002533996666942040', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '3.39861724708033735751536243205', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '5.35684189062917643696109525949', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 15.717614341672105, 'bad_primes': [2, 7], 'central_character': '7.2', 'conductor': 98, 'conductor_radical': 14, 'degree': 2, 'index': 11, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/98/6/c/d/79/1'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': False, 'is_instance_G2Q': False, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '2-98-7.2-c5-0-11', 'motivic_weight': 5, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [5], 'order_of_vanishing': 0, 'prelabel': '2-98-7.2-c5-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.9645446575454417, 'root_angle': 0.2929874272254411, 'self_dual': False, 'spectral_label': 'c5-0', 'z1': {'__RealLiteral__': 0, 'data': '2.00664590801002533996666942040', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '2543725889734429022824889110674', 'Lhash_array': ['2543725889734429022824889110674'], 'factors': ['2-98-7.2-c5-0-11'], 'label': '2-98-7.2-c5-0-11', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/98/6/c/d/79/1'}