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lfunc_lfunctions • Show schema
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{'Lhash': '328351372614227487762059348568', 'a10': [-4.140155553969055, 7.170959770712874], 'a2': [-0.828031110793811, -1.4341919541425747], 'a3': [-0.16644381074119466, 0.28828913680912754], 'a4': [2.628728959115135, -4.553092116515064], 'a5': [-2.5, -4.330127018922194], 'a6': [0.551282613971145, 2.6285860676115332e-61], 'a7': [0.0, 0.0], 'a8': [-21.95517521266883, 0.0], 'a9': [13.4445929157319, 23.28671801712824], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 14.455467951406456, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [2.5, 4.330127018922194]]], [7, [[1.0, 0], [0, 0]]]], 'bad_primes': [5, 7], 'central_character': '245.116', 'coefficient_field': 'CDF', 'conductor': 245, 'conductor_radical': 35, 'conjugate': '2045690092872359673121920507310', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.828031110793811, 1.4341919541425747], [-4.0, 6.928203230275509]], [[1.0, 0], [0.16644381074119466, -0.28828913680912754], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 14.455467951406456, 'bad_primes': [5, 7], 'central_character': '7.4', 'conductor': 245, 'conductor_radical': 35, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/245/4/e/q/116/2'], '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': '2-245-7.4-c3-0-1', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-245-7.4-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.802034712020191, 'root_angle': -0.21826811874690608, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '0.25902356103102124154274418768', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '328351372614227487762059348568', 'Lhash_array': ['328351372614227487762059348568'], 'label': '2-245-7.4-c3-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/245/4/e/q/116/2'}