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lfunc_lfunctions • Show schema
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{'Lhash': '2128152159037255930072268838605', 'a10': [-69.3282382692663, -213.37037758268426], 'a2': [1.2360679774997898, 3.804226065180614], 'a3': [2.7283514214781275, -8.397002253511936], 'a4': [-12.94427190999916, 9.40456403667957], 'a5': [-56.08772294991203, 0.0], 'a6': [35.31652266564561, 2.1479150133074898e-60], 'a7': [116.64805243894595, -84.7497709058937], 'a8': [-51.77708763999664, -37.61825614671828], 'a9': [133.52538426670944, 97.01187023802231], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 9.943796828404802, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.2360679774997898, -3.804226065180614]]], [31, [[1.0, 0], [-925.2851694032792, -5270.009331612454]]]], 'bad_primes': [2, 31], 'central_character': '62.35', 'coefficient_field': 'CDF', 'conductor': 62, 'conductor_radical': 62, 'conjugate': '1154993401066421539108493787142', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.2360679774997898, 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{'__RealLiteral__': 0, 'data': '0.0783439832284', 'prec': 50}, 'spectral_label': 'c5-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.67881603862618039257311874192', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.87585537360234659296090704514', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.60427548492931448190968606089', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 9.943796828404802, 'bad_primes': [2, 31], 'central_character': '31.4', 'conductor': 62, 'conductor_radical': 62, 'degree': 2, 'index': 8, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/62/6/d/a/35/4'], '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': '2-62-31.4-c5-0-8', 'motivic_weight': 5, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [5], 'order_of_vanishing': 0, 'prelabel': '2-62-31.4-c5-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.1533786370185237, 'root_angle': 0.07834398322839514, 'self_dual': False, 'spectral_label': 'c5-0', 'z1': {'__RealLiteral__': 0, 'data': '1.67881603862618039257311874192', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2128152159037255930072268838605', 'Lhash_array': ['2128152159037255930072268838605'], 'factors': ['2-62-31.4-c5-0-8'], 'label': '2-62-31.4-c5-0-8', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/62/6/d/a/35/4'}