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  • lfunc_lfunctions • Show schema
    {'Lhash': '1065602487547244768086001598304', 'a10': [19811666.203512218, 0], 'a2': [-128.0, 0], 'a3': [-2500.21207700858, 0], 'a4': [16384.0, 0], 'a5': [-154778.6422149392, 0], 'a6': [320027.1458570982, 0], 'a7': [0, 0], 'a8': [-2097152.0, 0], 'a9': [-8097846.569980443, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 139.8396349979221, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '7.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [128.0, 0]]], [7, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 7], 'central_character': '98.1', 'coefficient_field': 'CDF', 'conductor': 98, 'conductor_radical': 14, 'degree': 2, 'euler_factors': [[[1.0, 0], [128.0, 0]], [[1.0, 0], [2500.21207700858, 0], [14348907.0, 0]], [[1.0, 0], [154778.6422149392, 0], [30517578125.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [20848841.089928295, 0], [4177248169415651.0, 0]], [[1.0, 0], [-106573502.34239785, 0], [51185893014090760, 0]], [[1.0, 0], [2346902221.461704, 0], [2862423051509816000, 0]], 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'spectral_label': 'c15-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.840612142932281467632883911001', 'prec': 107}, 'z2': {'__RealLiteral__': 0, 'data': '2.39328111416619906354905388769', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.70296609677278217195543591770', 'prec': 103}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 139.8396349979221, 'bad_primes': [2, 7], 'central_character': '1.1', 'conductor': 98, 'conductor_radical': 14, 'degree': 2, 'index': 19, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/98/16/a/f/1/2'], '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': '2-98-1.1-c15-0-19', 'motivic_weight': 15, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [15], 'order_of_vanishing': 1, 'prelabel': '2-98-1.1-c15-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 11.825380966291196, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c15-0', 'z1': {'__RealLiteral__': 0, 'data': '0.840612142932281467632883911001', 'prec': 107}}
  • lfunc_instances • Show schema
    {'Lhash': '1065602487547244768086001598304', 'Lhash_array': ['1065602487547244768086001598304'], 'factors': ['2-98-1.1-c15-0-19'], 'label': '2-98-1.1-c15-0-19', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/98/16/a/f/1/2'}