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lfunc_lfunctions • Show schema
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{'Lhash': '1335273825313412276129404308717', 'a10': [20001.840663354593, 3526.864172781116], 'a2': [14.312152127481715, -2.5236185720790845], 'a3': [157.89313521679387, 188.16971114057745], 'a4': [-763.7761958619333, 277.9918009348167], 'a5': [1313.2603612701394, 477.9876813440102], 'a6': [2734.659148844912, 2294.6514831913405], 'a7': [675.7920168842859, -1170.5061085930276], 'a8': [-23117.692679383457, 13347.00609148508], 'a9': [-223.84679908504, 1269.4982820306054], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 60.35893900400382, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '5.0', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [-1313.2603612701394, -477.9876813440102]]], [19, [[1.0, 0], [-2208726.9876812487, -1119192.276460804]]]], 'bad_primes': [5, 19], 'central_character': '95.86', 'coefficient_field': 'CDF', 'conductor': 95, 'conductor_radical': 95, 'conjugate': '953103651087376734928719430979', 'degree': 2, 'euler_factors': [[[1.0, 0], [-14.312152127481715, 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'root_number': '0.9969780581503506 - 0.07768366344834832*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.012376208275925261', 'prec': 70}, 'spectral_label': 'c10-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.05334531855466159563709409429786', 'prec': 113}, 'z2': {'__RealLiteral__': 0, 'data': '2.15982560444578309547731796236827', 'prec': 113}, 'z3': {'__RealLiteral__': 0, 'data': '3.72681008437388635793522940712548', 'prec': 113}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 60.35893900400382, 'bad_primes': [5, 19], 'central_character': '19.10', 'conductor': 95, 'conductor_radical': 95, 'degree': 2, 'index': 48, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/95/11/n/a/86/41'], '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': '2-95-19.10-c10-0-48', 'motivic_weight': 10, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [10], 'order_of_vanishing': 0, 'prelabel': '2-95-19.10-c10-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.769101557065902, 'root_angle': -0.012376208275925261, 'self_dual': False, 'spectral_label': 'c10-0', 'z1': {'__RealLiteral__': 0, 'data': '1.05334531855466159563709409429786', 'prec': 113}}
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lfunc_instances • Show schema
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{'Lhash': '1335273825313412276129404308717', 'Lhash_array': ['1335273825313412276129404308717'], 'label': '2-95-19.10-c10-0-48', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/95/11/n/a/86/41'}