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  • lfunc_lfunctions • Show schema
    {'Lhash': '1279497940117081843248107769241', 'a10': [-5.56991991401748, -8.30517863452867], 'a2': [-1.7796182661667503, -0.9126657804068525], 'a3': [3.6684635871858804, 3.6684635871858804], 'a4': [2.3340823465487017, 3.248393387434734], 'a5': [4.373045889992968, 2.4241430741636547], 'a6': [-3.180383625830471, -9.876545991216718], 'a7': [-2.5178858705642826, -2.5178858705642826], 'a8': [-1.1890780926438405, -7.911137294320867], 'a9': [0.0, 17.915250181017395], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 10.354250045691284, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 7}, 'bad_lfactors': [[2, [[1.0, 0], [1.7796182661667503, 0.9126657804068525]]], [5, [[1.0, 0], [-4.373045889992968, -2.4241430741636547]]], [19, [[1.0, 0], [-17.850592719921604, 6.508174824594211]]]], 'bad_primes': [2, 5, 19], 'central_character': '380.303', 'coefficient_field': 'CDF', 'conductor': 380, 'conductor_radical': 190, 'conjugate': '2477381084536016518516697307692', 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False, 'root_analytic_conductor': 3.217802051974497, 'root_angle': -0.2361423696731725, 'root_number': '0.08696008510406013 - 0.9962117965566833*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.236142369673', 'prec': 40}, 'spectral_label': 'c2-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.00934590326918113858963445506', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '2.05144259604921353791019434587', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '3.25738590100679038312297512333', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 10.354250045691284, 'bad_primes': [2, 5, 19], 'central_character': '380.303', 'conductor': 380, 'conductor_radical': 190, 'degree': 2, 'index': 38, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/380/3/j/a/303/17'], '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': '2-380-380.303-c2-0-38', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-380-380.303-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.217802051974497, 'root_angle': -0.2361423696731725, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '1.00934590326918113858963445506', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '1279497940117081843248107769241', 'Lhash_array': ['1279497940117081843248107769241'], 'factors': ['2-380-380.303-c2-0-38'], 'label': '2-380-380.303-c2-0-38', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/380/3/j/a/303/17'}