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lfunc_lfunctions • Show schema
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{'Lhash': '2946088420019494418470906572511', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-0.1730320653196996, -5.193270636542178], 'a4': [0.0, 0.0], 'a5': [6.540949708414509, -5.488508487879751], 'a6': [0.0, 0.0], 'a7': [11.964968886162763, -4.354892528484483], 'a8': [0.0, 0.0], 'a9': [-26.9401198087424, 1.7972046880100883], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 6.37220628061999, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0.1730320653196996, 5.193270636542178]]]], 'bad_primes': [2, 3], 'central_character': '108.25', 'coefficient_field': 'CDF', 'conductor': 108, 'conductor_radical': 6, 'conjugate': '1181451810020297639376195367614', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0.1730320653196996, 5.193270636542178]], [[1.0, 0], [-6.540949708414509, 5.488508487879751], [21.706022208366292, -123.10096912652601]], [[1.0, 0], [-11.964968886162763, 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'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.35709708418722174168277214401', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 6.37220628061999, 'bad_primes': [2, 3], 'central_character': '27.25', 'conductor': 108, 'conductor_radical': 6, 'degree': 2, 'index': 8, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/108/4/i/a/25/5'], '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': '2-108-27.25-c3-0-8', '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': '2-108-27.25-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.5243229350897223, 'root_angle': 0.29891227861633757, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '2.32405397787771880520850342995', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2946088420019494418470906572511', 'Lhash_array': ['2946088420019494418470906572511'], 'label': '2-108-27.25-c3-0-8', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/108/4/i/a/25/5'}