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lfunc_lfunctions • Show schema
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'3.08609306562120399051529435940565', '3.98496998913821535832684858219524', '4.82992171441768845713217991759377', '6.01412894745541876275452225722110', '6.55480486592284084063518921825889', '7.49138114633132521011061723983655', '8.054324270535657818717595373480944', '9.307526209960521882437943864994243'], 'prelabel': '2-3236-3236.319-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.2708164229661165, 'root_angle': 0.1176340749934595, 'root_number': '0.93248696364192517301071879730004 + 0.36120363043283897824137733013347*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.05881703749672975', 'prec': 64}, 'spectral_label': 'c0-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.55586000379204277245782702636', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.39578435081344552264802637582', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.08609306562120399051529435941', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.6149743808803958, 'bad_primes': [2, 809], 'central_character': '3236.319', 'conductor': 3236, 'conductor_radical': 1618, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3236/1/l/a/319/1'], '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': '2-3236-3236.319-c0-0-0', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'prelabel': '2-3236-3236.319-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.2708164229661165, 'root_angle': 0.05881703749672975, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '1.55586000379204277245782702636', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1972286867678078293209944206189', 'Lhash_array': ['1972286867678078293209944206189'], 'label': '2-3236-3236.319-c0-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3236/1/l/a/319/1'}