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lfunc_lfunctions • Show schema
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{'Lhash': '1891417123592595000535156457465', 'a10': [9.917734606554202, 0.0], 'a2': [2.5548932093059395, 0.0], 'a3': [0.0, 0.0], 'a4': [4.527479310957602, 0.0], 'a5': [3.8818587682764427, 0.0], 'a6': [0.0, 0.0], 'a7': [2.9537037735939538, 0.0], 'a8': [6.457439728226833, 0.0], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 47.934196333374636, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [23, [[1.0, 0], [-1.0, 0]]], [29, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [3, 23, 29], 'central_character': '6003.1', 'coefficient_field': 'CDF', 'conductor': 6003, 'conductor_radical': 2001, 'degree': 2, 'euler_factors': [[[1.0, 0], [-2.5548932093059395, 0], [2.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-3.8818587682764427, 0], [5.0, 0]], [[1.0, 0], [-2.9537037735939538, 0], [7.0, 0]], [[1.0, 0], [0.5999388370229953, 0], [11.0, 0]], [[1.0, 0], [3.2589949225081427, 0], [13.0, 0]], [[1.0, 0], 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'3.84573185259369273367057005551801', '4.65858632766812614699618184761720', '5.32189812991662064325981500864312', '5.54693286040629767724224965268035', '6.42126297954769476626163710736909', '7.01373716097737534608478336952365', '7.77747263432990565810138017366238'], 'prelabel': '2-6003-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.923452630976444, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.49206502426777685669249697170', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.21364242164700353140896684371', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.63904854497381127774416602064', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 47.934196333374636, 'bad_primes': [3, 23, 29], 'central_character': '1.1', 'conductor': 6003, 'conductor_radical': 2001, 'degree': 2, 'index': 224, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/6003/2/a/v/1/27'], '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': '2-6003-1.1-c1-0-224', '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': '2-6003-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.923452630976444, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.49206502426777685669249697170', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1891417123592595000535156457465', 'Lhash_array': ['1891417123592595000535156457465'], 'label': '2-6003-1.1-c1-0-224', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/6003/2/a/v/1/27'}