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lfunc_lfunctions • Show schema
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{'Lhash': '2118783563063316087263544486482', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 4.813018947595332], 'a4': [0, 0], 'a5': [8.336393355026804, 0], 'a6': [0, 0], 'a7': [0, -2.6457513110645907], 'a8': [0, 0], 'a9': [-14.16515138991168, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 48.82846337336521, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [0, 2.6457513110645907]]]], 'bad_primes': [2, 7], 'central_character': '1792.1023', 'coefficient_field': 'CDF', 'conductor': 1792, 'conductor_radical': 14, 'conjugate': '177862346843898277876214019206', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, -4.813018947595332], [-9.0, 0]], [[1.0, 0], [-8.336393355026804, 0], [25.0, 0]], [[1.0, 0], [0, 2.6457513110645907]], [[1.0, 0], [0, 17.24300470101697], [-121.0, 0]], [[1.0, 0], [17.13170902653133, 0], [169.0, 0]], [[1.0, 0], [24.33030277982336, 0], [289.0, 0]], [[1.0, 0], [0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 48.82846337336521, 'bad_primes': [2, 7], 'central_character': '4.3', 'conductor': 1792, 'conductor_radical': 14, 'degree': 2, 'index': 90, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1792/3/d/f/1023/8'], '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': '2-1792-4.3-c2-0-90', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-1792-4.3-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.98773664167198, 'root_angle': 0.25, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '1.67142551952552828144909721141', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2118783563063316087263544486482', 'Lhash_array': ['2118783563063316087263544486482'], 'label': '2-1792-4.3-c2-0-90', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1792/3/d/f/1023/8'}