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lfunc_lfunctions • Show schema
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{'Lhash': '3256718726607538665355996235031', 'a10': [1.9929786829975045, 5.4756639289900555], 'a2': [-0.8814798689303699, 2.4218460355900113], 'a3': [-0.3845645741886081, 0.06780911025411375], 'a4': [-2.0241536882976403, -1.698466613296681], 'a5': [1.7319853795610798, -1.4533082931941435], 'a6': [0.17476270560522644, -0.9911285550461226], 'a7': [5.721626714327497, -9.910148171158603], 'a8': [-3.030266156394231, 1.7495249811104219], 'a9': [-8.313941750785764, 3.0260273267090554], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.5177125022845641, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[19, [[1.0, 0], [-17.75948438852223, -6.752830092178772]]]], 'bad_primes': [19], 'central_character': '19.15', 'coefficient_field': 'CDF', 'conductor': 19, 'conductor_radical': 19, 'conjugate': '6529906172800569650188224224507', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.8814798689303699, -2.4218460355900113], [-3.064177772475912, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.5177125022845641, 'bad_primes': [19], 'central_character': '19.15', 'conductor': 19, 'conductor_radical': 19, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/19/3/f/a/15/1'], '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': '2-19-19.15-c2-0-0', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-19-19.15-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.7195224126353287, 'root_angle': -0.2007846767813542, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '2.56909808272184381686094111302', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3256718726607538665355996235031', 'Lhash_array': ['3256718726607538665355996235031'], 'label': '2-19-19.15-c2-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/19/3/f/a/15/1'}