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lfunc_lfunctions • Show schema
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{'Lhash': '3426300555255486266383925051713', 'a10': [-1.544077960612611, -3.381059115185629], 'a2': [2.4115292797783527, -0.7080888850395031], 'a3': [-1.044077960612611, -1.2049301987795935], 'a4': [3.6315765324494516, -2.3338725230055437], 'a5': [-0.21046819637586503, -1.4638384593937612], 'a6': [-3.37102225339285, -2.1664244554216383], 'a7': [-0.5104235068274083, 1.1176715777221022], 'a8': [3.8132924021176784, -4.400774027824901], 'a9': [0.06518651872581369, -0.4533821963981065], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.224086266925735, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[23, [[1.0, 0], [0, 0]]]], 'bad_primes': [23], 'central_character': '529.170', 'coefficient_field': 'CDF', 'conductor': 529, 'conductor_radical': 23, 'conjugate': '1514951441858908762503881085480', 'degree': 2, 'euler_factors': [[[1.0, 0], [-2.4115292797783527, 0.7080888850395031], [1.6825070656623624, -1.081281634911195]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 4.224086266925735, 'bad_primes': [23], 'central_character': '23.9', 'conductor': 529, 'conductor_radical': 23, 'degree': 2, 'index': 30, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/529/2/c/e/170/1'], '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': '2-23e2-23.9-c1-0-30', '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': '2-23e2-23.9-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.0552581995763295, 'root_angle': 0.31824908817521347, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.70287455757809827391491726148', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3426300555255486266383925051713', 'Lhash_array': ['3426300555255486266383925051713'], 'label': '2-23e2-23.9-c1-0-30', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/529/2/c/e/170/1'}