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lfunc_lfunctions • Show schema
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{'Lhash': '2451937012978113805118925392478', 'a10': [-0.17364817766693036, 0.3007674663608706], 'a2': [-0.17364817766693036, -0.984807753012208], 'a3': [0.0, 0.0], 'a4': [-0.9396926207859084, 0.3420201433256687], 'a5': [-0.266044443118978, -0.22323779409789932], 'a6': [0.0, 0.0], 'a7': [0.7735858473596819, 0.6491155992034727], 'a8': [0.5, 0.8660254037844386], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.318036774617276, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.17364817766693036, 0.984807753012208]]], [3, [[1.0, 0], [0, 0]]], [37, [[1.0, 0], [5.88520553336152, -1.537646197956781]]]], 'bad_primes': [2, 3, 37], 'central_character': '666.379', 'coefficient_field': 'CDF', 'conductor': 666, 'conductor_radical': 222, 'conjugate': '416795356278007335880713964471', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.17364817766693036, 0.984807753012208]], [[1.0, 0], [0, 0]], [[1.0, 0], 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'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.95540311898102083933506099915', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 5.318036774617276, 'bad_primes': [2, 3, 37], 'central_character': '37.9', 'conductor': 666, 'conductor_radical': 222, 'degree': 2, 'index': 15, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/666/2/x/g/379/2'], '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': '2-666-37.9-c1-0-15', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-666-37.9-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.3060868965885213, 'root_angle': 0.48142049424268174, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.93423725160281862749324298382', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2451937012978113805118925392478', 'Lhash_array': ['2451937012978113805118925392478'], 'label': '2-666-37.9-c1-0-15', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/666/2/x/g/379/2'}