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lfunc_lfunctions • Show schema
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{'Lhash': '2874195098531814471914937965403', 'a10': [6.203030763282231, -1.2338595340533156], 'a2': [2.065857437715964, -0.8557061686312839], 'a3': [-0.29049586705653513, -1.7075163692401523], 'a4': [2.1213203435596424, -2.1213203435596424], 'a5': [2.774079690644295, 0.551798758565886], 'a6': [-2.0612553377821823, -3.2789062860143567], 'a7': [-0.6169297670266578, -3.1015153816411156], 'a8': [0.8557061686312839, -2.065857437715964], 'a9': [-2.831224302446144, 0.9920528963912897], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 6.923029855245012, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0.29049586705653513, 1.7075163692401523]]], [17, [[1.0, 0], [0, 0]]]], 'bad_primes': [3, 17], 'central_character': '867.158', 'coefficient_field': 'CDF', 'conductor': 867, 'conductor_radical': 51, 'conjugate': '1719704465590413848607789601947', 'degree': 2, 'euler_factors': [[[1.0, 0], [-2.065857437715964, 0.8557061686312839], 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'4.32679039078585450699240831802', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 6.923029855245012, 'bad_primes': [3, 17], 'central_character': '51.5', 'conductor': 867, 'conductor_radical': 51, 'degree': 2, 'index': 71, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/867/2/i/e/158/3'], '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': '2-867-51.5-c1-0-71', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-867-51.5-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.631165113641676, 'root_angle': 0.309903807909774, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.26734014720960238343897243703', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2874195098531814471914937965403', 'Lhash_array': ['2874195098531814471914937965403'], 'label': '2-867-51.5-c1-0-71', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/867/2/i/e/158/3'}