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lfunc_lfunctions • Show schema
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{'Lhash': '103970382382162671740316649881', 'a10': [-0.6129201286829804, 0.0], 'a2': [0.5742668596951265, 0.0], 'a3': [1.6347285841240495, 0.0], 'a4': [-1.670217573855898, 0.0], 'a5': [-1.0673088971360365, 0.0], 'a6': [0.9387704504587783, 0.0], 'a7': [-4.083342155977134, 0.0], 'a8': [-2.1076843205360922, 0.0], 'a9': [-0.32766245624778056, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 64.06397754167328, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[71, [[1.0, 0], [-1.0, 0]]], [113, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [71, 113], 'central_character': '8023.1', 'coefficient_field': 'CDF', 'conductor': 8023, 'conductor_radical': 8023, 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.5742668596951265, 0], [2.0, 0]], [[1.0, 0], [-1.6347285841240495, 0], [3.0, 0]], [[1.0, 0], [1.0673088971360365, 0], [5.0, 0]], [[1.0, 0], [4.083342155977134, 0], [7.0, 0]], [[1.0, 0], [6.0833622552238, 0], [11.0, 0]], [[1.0, 0], 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'3.08841018178261731042519898520233', '3.26174751020152630497341483656765', '4.07995842558172643350119664691351', '5.25187339702038052031984384706746', '5.36719749280657235801434971554084', '6.42789401692395199370744541760092', '7.43658505001475836297349621790835', '7.79535352802227616948141538786232'], 'prelabel': '2-8023-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.003997597555442, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.082018169962167583005913665667', 'prec': 107}, 'z2': {'__RealLiteral__': 0, 'data': '2.18426787666141304253203505745', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.08841018178261731042519898520', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 64.06397754167328, 'bad_primes': [71, 113], 'central_character': '1.1', 'conductor': 8023, 'conductor_radical': 8023, 'degree': 2, 'index': 10, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/8023/2/a/d/1/93'], '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': '2-8023-1.1-c1-0-10', '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': '2-8023-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.003997597555442, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.082018169962167583005913665667', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '103970382382162671740316649881', 'Lhash_array': ['103970382382162671740316649881'], 'label': '2-8023-1.1-c1-0-10', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/8023/2/a/d/1/93'}