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lfunc_lfunctions • Show schema
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{'Lhash': '1216970332719389878214107463885', 'a10': [-1.6977360423048442, 1.4552293051815182], 'a2': [-0.052335956242943835, 0.9986295347545738], 'a3': [-0.36695774615749654, -0.9559576117195782], 'a4': [-0.9945218953682733, -0.10452846326765347], 'a5': [1.542087603216776, 1.6192485368235288], 'a6': [0.973852589582524, -0.3164238875827829], 'a7': [-2.5657420286923815, 0.6457304717926066], 'a8': [0.15643446504023087, -0.9876883405951378], 'a9': [1.4502375084925727, -1.3057997178391354], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 6.148480955638592, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.052335956242943835, -0.9986295347545738]]], [5, [[1.0, 0], [-1.542087603216776, -1.6192485368235288]]], [7, [[1.0, 0], [2.5657420286923815, -0.6457304717926066]]], [11, [[1.0, 0], [-2.644812190613396, -2.001241733620096]]]], 'bad_primes': [2, 5, 7, 11], 'central_character': '770.537', 'coefficient_field': 'CDF', 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[8.257748598144625, -78.56722973409359]], [[1.0, 0], [1.6980634449369196, -3.3326371560474657], [-48.78617594027527, -67.14841053312064]], [[1.0, 0], [-2.0079410026647344, 3.477855835216114], [-44.5, -77.07626093681505]], [[1.0, 0], [5.883147929287767, 11.546327931461043], [-57.01516947236989, 78.4746484543699]], [[1.0, 0], [1.8700011952588327, 8.797663927975401], [-92.2680912219027, 41.08040095065582]], [[1.0, 0], [8.024492919719119, 3.080314231276506], [76.5439170241716, 68.9204524549624]], [[1.0, 0], [-3.912481388461519, 4.83151214160744], [-22.246550917500247, -104.66179327851721]], [[1.0, 0], [-7.372574564649329, 4.256557909520878], [54.5, -94.39676901250381]], [[1.0, 0], [-0.7392513814977879, 4.667449529657277], [-107.46938634135235, -34.91892036436906]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'index': 16, 'label': '2-770-385.152-c1-0-16', 'load_key': 'CMFs-workshop', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 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2.4796130657097675, 'root_angle': -0.34828753266250895, 'root_number': '0.458777410249119 - 0.8885512297246071*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.174143766331', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.960020318296133820742644962293', 'prec': 107}, 'z2': {'__RealLiteral__': 0, 'data': '2.36847992940384130077973876553', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.92877939039909834579623347071', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 6.148480955638592, 'bad_primes': [2, 5, 7, 11], 'central_character': '385.152', 'conductor': 770, 'conductor_radical': 770, 'degree': 2, 'index': 16, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/770/2/bv/a/537/10'], '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': '2-770-385.152-c1-0-16', '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': '2-770-385.152-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.4796130657097675, 'root_angle': -0.17414376633125447, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.960020318296133820742644962293', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1216970332719389878214107463885', 'Lhash_array': ['1216970332719389878214107463885'], 'label': '2-770-385.152-c1-0-16', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/770/2/bv/a/537/10'}