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lfunc_lfunctions • Show schema
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{'Lhash': '674373245972275198467641495139', 'a10': [0, -63.0454016771992], 'a2': [0, 2.431192874214086], 'a3': [0, 0], 'a4': [10.089301208370653, 0], 'a5': [-25.931879920296097, 0], 'a6': [0, 0], 'a7': [-17.459519862627126, 0], 'a8': [0, 63.428123191015665], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 54.88945039752135, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.0', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [59, [[1.0, 0], [-1105.2329903162038, -3300.8818574915254]]]], 'bad_primes': [3, 59], 'central_character': '531.235', 'coefficient_field': 'CDF', 'conductor': 531, 'conductor_radical': 177, 'conjugate': '1342031586838535846689860895450', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, -2.431192874214086], [-16.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [25.931879920296097, 0], [625.0, 0]], [[1.0, 0], [17.459519862627126, 0], [2401.0, 0]], [[1.0, 0], [0, -44.71516049516538], [-14641.0, 0]], [[1.0, 0], [0, 157.36398676777858], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 54.88945039752135, 'bad_primes': [3, 59], 'central_character': '59.58', 'conductor': 531, 'conductor_radical': 177, 'degree': 2, 'index': 36, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/531/5/c/d/235/27'], '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': '2-531-59.58-c4-0-36', 'motivic_weight': 4, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [4], 'order_of_vanishing': 0, 'prelabel': '2-531-59.58-c4-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.408741485402318, 'root_angle': -0.3014224209567855, 'self_dual': False, 'spectral_label': 'c4-0', 'z1': {'__RealLiteral__': 0, 'data': '0.53198668927452106658593853367', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '674373245972275198467641495139', 'Lhash_array': ['674373245972275198467641495139'], 'label': '2-531-59.58-c4-0-36', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/531/5/c/d/235/27'}