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lfunc_lfunctions • Show schema
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{'Lhash': '1684300308752416247550867137233', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [0.7152759524962146, -0.7152759524962146], 'a4': [0.0, 0.0], 'a5': [-0.8677206193059585, -0.8677206193059585], 'a6': [0.0, 0.0], 'a7': [0.0, -1.0], 'a8': [0.0, 0.0], 'a9': [0.0, 1.9767606235612663], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.154596021106726, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [0, 1.0]]]], 'bad_primes': [2, 7], 'central_character': '896.225', 'coefficient_field': 'CDF', 'conductor': 896, 'conductor_radical': 14, 'conjugate': '1312002300207455342709755929591', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-0.7152759524962146, 0.7152759524962146], [0, -3.0]], [[1.0, 0], [0.8677206193059585, 0.8677206193059585], [0, 5.0]], [[1.0, 0], [0, 1.0]], [[1.0, 0], [-2.9767606235612663, -2.9767606235612663], [0, 11.0]], [[1.0, 0], [-2.0201652861157022, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.154596021106726, 'bad_primes': [2, 7], 'central_character': '16.5', 'conductor': 896, 'conductor_radical': 14, 'degree': 2, 'index': 14, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/896/2/m/e/225/3'], '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': '2-896-16.5-c1-0-14', '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': '2-896-16.5-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.6748076605817332, 'root_angle': 0.12070890758807995, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.32867866622646075407258444602', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1684300308752416247550867137233', 'Lhash_array': ['1684300308752416247550867137233'], 'factors': ['2-896-16.5-c1-0-14'], 'label': '2-896-16.5-c1-0-14', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/896/2/m/e/225/3'}