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lfunc_lfunctions • Show schema
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{'Lhash': '2976600931052179938993746969064', 'a10': [0.0, 0.0], 'a2': [1.326609346773998, 0.4900077969296674], 'a3': [1.9915373703198658, -1.9915373703198658], 'a4': [1.5197847178962678, 1.300097846798064], 'a5': [0.0, 0.0], 'a6': [3.617860929249584, -1.6661232505825025], 'a7': [0.0, 1.0903257865638378], 'a8': [1.3791025301429491, 2.469428316706787], 'a9': [0.0, -4.9324421947611325], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.194016080851217, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.326609346773998, -0.4900077969296674]]], [5, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 5], 'central_character': '400.101', 'coefficient_field': 'CDF', 'conductor': 400, 'conductor_radical': 10, 'conjugate': '2653876293920735601872853742406', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.326609346773998, -0.4900077969296674]], [[1.0, 0], [-1.9915373703198658, 1.9915373703198658], [0, -3.0]], [[1.0, 0], [0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.194016080851217, 'bad_primes': [2, 5], 'central_character': '16.5', 'conductor': 400, 'conductor_radical': 10, 'degree': 2, 'index': 30, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/400/2/l/i/101/7'], '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': '2-20e2-16.5-c1-0-30', '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': '2-20e2-16.5-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.7871810431098514, 'root_angle': 0.03775161438610864, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.34812410495152921465952649162', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2976600931052179938993746969064', 'Lhash_array': ['2976600931052179938993746969064'], 'label': '2-20e2-16.5-c1-0-30', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/400/2/l/i/101/7'}