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  • lfunc_lfunctions • Show schema
    {'Lhash': '4205522287932881899240848748019', 'a10': [-0.17447143858776779, -0.9894766977053552], 'a2': [0.7444071011373934, -0.37385529763657166], 'a3': [0.7039017755359822, -1.5825682577371796], 'a4': [-0.7799430347527245, 1.0476453087930921], 'a5': [0.3459287599393022, -1.1554825268095361], 'a6': [-0.06766204681431924, -1.4412324568941048], 'a7': [-0.5208031590059262, 1.2073574318009812], 'a8': [-0.478229567216428, 2.7121746501581736], 'a9': [-2.0090445807945834, -2.227945213056173], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.6467882563723715, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[3, [[1.0, 0], [-0.7039017755359822, 1.5825682577371796]]]], 'bad_primes': [3], 'central_character': '81.25', 'coefficient_field': 'CDF', 'conductor': 81, 'conductor_radical': 3, 'conjugate': '3036119978167167424665021267066', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.7444071011373934, 0.37385529763657166], [1.1943171834055724, 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0.6475809757452335*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.112109625363', 'prec': 40}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '3.31757211898587386784856436161', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '4.67442667456820543059632374447', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '5.91812524041052484590700227905', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 0.6467882563723715, 'bad_primes': [3], 'central_character': '81.25', 'conductor': 81, 'conductor_radical': 3, 'degree': 2, 'index': 6, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/81/2/g/a/25/6'], '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': '2-3e4-81.25-c1-0-6', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-3e4-81.25-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.8042314693994332, 'root_angle': 0.11210962536339189, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '3.31757211898587386784856436161', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '4205522287932881899240848748019', 'Lhash_array': ['4205522287932881899240848748019'], 'factors': ['2-3e4-81.25-c1-0-6'], 'label': '2-3e4-81.25-c1-0-6', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/81/2/g/a/25/6'}