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lfunc_lfunctions • Show schema
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{'Lhash': '90680527904106335000879444440,2486379463346434907105831107493', 'a10': 0, 'a2': 0, 'a3': 2, 'a4': 0, 'a5': 0, 'a6': 0, 'a7': -14, 'a8': 0, 'a9': 2, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 118.7927911453717, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [1]], [5, [1]]], 'bad_primes': [2, 5], 'central_character': '400.1', 'coefficient_field': '1.1.1.1', 'conductor': 160000, 'conductor_radical': 10, 'degree': 4, 'euler_factors': [[1], [1, -2, 2, -18, 81], [1], [1, 14, 98, 686, 2401], [1, 20, 342, 2420, 14641], [1, 18, 162, 3042, 28561], [1, 2, 2, 578, 83521], [1, 0, -658, 0, 130321], [1, 46, 1058, 24334, 279841], [1, 0, -1618, 0, 707281], [1, -28, 2118, -26908, 923521], [1, 66, 2178, 90354, 1874161], [1, 28, 3558, 47068, 2825761], [1, 30, 450, 55470, 3418801], [1, 78, 3042, 172302, 4879681], [1, -14, 98, -39326, 7890481], [1, 0, -3826, 0, 12117361], [1, -84, 9206, -312564, 13845841], [1, 14, 98, 62846, 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{'algebraic': True, 'analytic_conductor': 118.7927911453717, 'bad_primes': [2, 5], 'central_character': '1.1', 'conductor': 160000, 'conductor_radical': 10, 'degree': 4, 'dirichlet_coefficients': [1, 0, 2, 0, 0, 0, -14, 0, 2, 0, -20, 0, -18, 0, 0, 0, -2, 0, 0, 0, -28, 0, -46, 0, 0, 0, 18, 0, 0, 0, 28, 0, -40, 0, 0, 0, -66, 0, -36, 0, -28, 0, -30, 0, 0, 0, -78, 0, 98, 0, -4, 0, 14, 0, 0, 0, 0, 0, 0, 0, 84, 0, -28, 0, 0, 0, -14, 0, -92, 0, -196, 0, -98, 0, 0, 0, 280, 0, 0, 0, -13, 0, -126, 0, 0, 0, 0, 0, 0, 0, 252, 0, 56, 0, 0, 0, -66, 0, -40, 0], 'euler11': [1, 20, 342, 2420, 14641], 'euler13': [1, 18, 162, 3042, 28561], 'euler17': [1, 2, 2, 578, 83521], 'euler19': [1, 0, -658, 0, 130321], 'euler2': [1, 0, 0, 0, 0], 'euler23': [1, 46, 1058, 24334, 279841], 'euler29': [1, 0, -1618, 0, 707281], 'euler3': [1, -2, 2, -18, 81], 'euler31': [1, -28, 2118, -26908, 923521], 'euler37': [1, 66, 2178, 90354, 1874161], 'euler41': [1, 28, 3558, 47068, 2825761], 'euler43': [1, 30, 450, 55470, 3418801], 'euler47': [1, 78, 3042, 172302, 4879681], 'euler5': [1, 0, 0, 0, 0], 'euler53': [1, -14, 98, -39326, 7890481], 'euler59': [1, 0, -3826, 0, 12117361], 'euler61': [1, -84, 9206, -312564, 13845841], 'euler67': [1, 14, 98, 62846, 20151121], 'euler7': [1, 14, 98, 686, 2401], 'euler71': [1, 196, 19686, 988036, 25411681], 'euler73': [1, 98, 4802, 522242, 28398241], 'euler79': [1, 0, -3266, 0, 38950081], 'euler83': [1, 126, 7938, 868014, 47458321], 'euler89': [1, 0, -3298, 0, 62742241], 'euler97': [1, 66, 2178, 620994, 88529281], 'euler_factors': [[1, 0, 0, 0, 0], [1, -2, 2, -18, 81], [1, 0, 0, 0, 0], [1, 14, 98, 686, 2401], [1, 20, 342, 2420, 14641], [1, 18, 162, 3042, 28561], [1, 2, 2, 578, 83521], [1, 0, -658, 0, 130321], [1, 46, 1058, 24334, 279841], [1, 0, -1618, 0, 707281], [1, -28, 2118, -26908, 923521], [1, 66, 2178, 90354, 1874161], [1, 28, 3558, 47068, 2825761], [1, 30, 450, 55470, 3418801], [1, 78, 3042, 172302, 4879681], [1, -14, 98, -39326, 7890481], [1, 0, -3826, 0, 12117361], [1, -84, 9206, -312564, 13845841], [1, 14, 98, 62846, 20151121], [1, 196, 19686, 988036, 25411681], [1, 98, 4802, 522242, 28398241], [1, 0, -3266, 0, 38950081], [1, 126, 7938, 868014, 47458321], [1, 0, -3298, 0, 62742241], [1, 66, 2178, 620994, 88529281]], 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/400/3/p/d'], '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': '4-20e4-1.1-c2e2-0-1', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2, 2], 'order_of_vanishing': 0, 'prelabel': '4-20e4-1.1-c2e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 3.3013952466210217, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c2e2-0', 'trace_hash': 1090802872864237618, 'z1': {'__RealLiteral__': 0, 'data': '0.07153432332835254383280210600', 'prec': 103}}
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{'Lhash': '90680527904106335000879444440,2486379463346434907105831107493', 'Lhash_array': ['90680527904106335000879444440', '2486379463346434907105831107493'], 'label': '4-20e4-1.1-c2e2-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/400/3/p/d'}