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lfunc_lfunctions • Show schema
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{'Lhash': '2350981485420128589663518402381', 'a10': [832662906948967700000, 0.0], 'a2': [2097152.0, 0.0], 'a3': [-32959968855.724716, 0.0], 'a4': [4398046511104.0, 0.0], 'a5': [397044614290698.9, 0.0], 'a6': [-69122064605720800, 0.0], 'a7': [1802694647592235500, 0.0], 'a8': [9223372036854776000, 0.0], 'a9': [758102579575806200000, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 23.422079069144658, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '21.5', 'prec': 14}, 'bad_lfactors': [[2, [[1.0, 0], [-2097152.0, 0]]]], 'bad_primes': [2], 'central_character': '2.1', 'coefficient_field': 'CDF', 'conductor': 2, 'conductor_radical': 2, 'conjugate': '2350981485420128589663518402381', 'degree': 2, 'euler_factors': [[[1.0, 0], [-2097152.0, 0]], [[1.0, 0], [32959968855.724716, 0], [328256967394537050000, 0]], [[1.0, 0], [-397044614290698.9, 0], [1136868377216160300000000000000, 0]], [[1.0, 0], [-1802694647592235500, 0], [2183814375991796600000000000000000000, 0]], [[1.0, 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'data': '1.85459738274636160704058680932', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '4.78468723426506706567837544926', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.45269944989909920854280068663', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 23.422079069144658, 'bad_primes': [2], 'central_character': '1.1', 'conductor': 2, 'conductor_radical': 2, 'degree': 2, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2/44/a/b/1/1'], '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': '2-2-1.1-c43-0-2', 'motivic_weight': 43, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [43], 'order_of_vanishing': 1, 'prelabel': '2-2-1.1-c43-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.839636253805099, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c43-0', 'z1': {'__RealLiteral__': 0, 'data': '1.85459738274636160704058680932', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2350981485420128589663518402381', 'Lhash_array': ['2350981485420128589663518402381'], 'label': '2-2-1.1-c43-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2/44/a/b/1/1'}