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lfunc_lfunctions • Show schema
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{'Lhash': '2571131449612351230867315177662', 'a10': [-1.7184196840866568, -3.624660525615732], 'a2': [0.09388764270717331, -1.7914829437841628], 'a3': [-2.614790404268866, 2.1174155195284454], 'a4': [-1.2115524576799133, -0.12733929454869813], 'a5': [1.9675992554804218, -1.0623338316333946], 'a6': [3.5478172809089514, 4.88315156257828], 'a7': [-1.7016207061458726, -2.0259533490225343], 'a8': [0.21939257239638588, -1.3851901862761353], 'a9': [1.7299453034633447, -8.138752762424494], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.3973820353724073, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [-1.9675992554804218, 1.0623338316333946]]], [7, [[1.0, 0], [1.7016207061458726, 2.0259533490225343]]]], 'bad_primes': [5, 7], 'central_character': '175.47', 'coefficient_field': 'CDF', 'conductor': 175, 'conductor_radical': 35, 'conjugate': '1232020805203072642008136370605', 'degree': 2, 'euler_factors': [[[1.0, 0], 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'root_number': '-0.2773909995563611 + 0.9607571146575615*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.294734869273', 'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.02826508278341169478955474470', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '5.15984459977698012903905113082', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.95445378534834451950638830313', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.3973820353724073, 'bad_primes': [5, 7], 'central_character': '175.47', 'conductor': 175, 'conductor_radical': 35, 'degree': 2, 'index': 10, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/175/2/x/a/47/15'], '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': '2-175-175.47-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': '2-175-175.47-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.182109146979418, 'root_angle': 0.29473486927333314, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.02826508278341169478955474470', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2571131449612351230867315177662', 'Lhash_array': ['2571131449612351230867315177662'], 'label': '2-175-175.47-c1-0-10', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/175/2/x/a/47/15'}