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lfunc_lfunctions • Show schema
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{'Lhash': '2580387753897989250503950041155', 'a10': [-814184161525945700, 0], 'a2': [314886.83109722834, 0], 'a3': [0, 0], 'a4': [64793978030.454414, 0], 'a5': [-2585640557558.1157, 0], 'a6': [0, 0], 'a7': [889059934199147.5, 0], 'a8': [9583341284163850.0, 0], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 69.83561757027343, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '17.5', 'prec': 14}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]]], 'bad_primes': [3], 'central_character': '9.1', 'coefficient_field': 'CDF', 'conductor': 9, 'conductor_radical': 3, 'degree': 2, 'euler_factors': [[[1.0, 0], [-314886.83109722834, 0], [34359738368.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [2585640557558.1157, 0], [2910383045673370300000000, 0]], [[1.0, 0], [-889059934199147.5, 0], [378818692265664800000000000000, 0]], [[1.0, 0], [2052395240738123800, 0], [2810243684806425000000000000000000000, 0]], [[1.0, 0], [18209040004794325000, 0], 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'12.83433756118411703679080166816282'], 'prelabel': '2-3e2-1.1-c35-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.356770762099044, 'root_angle': 1.0, 'root_number': '-1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'spectral_label': 'c35-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.03556701936118123398412747345', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.38243961231478284911283211613', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.56768567219859159441332862477', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 69.83561757027343, 'bad_primes': [3], 'central_character': '1.1', 'conductor': 9, 'conductor_radical': 3, 'degree': 2, 'index': 13, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/9/36/a/c/1/3'], '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': '2-3e2-1.1-c35-0-13', 'motivic_weight': 35, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [35], 'order_of_vanishing': 1, 'prelabel': '2-3e2-1.1-c35-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.356770762099044, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c35-0', 'z1': {'__RealLiteral__': 0, 'data': '2.03556701936118123398412747345', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2580387753897989250503950041155', 'Lhash_array': ['2580387753897989250503950041155'], 'label': '2-3e2-1.1-c35-0-13', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/9/36/a/c/1/3'}