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lfunc_lfunctions • Show schema
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{'Lhash': '1366127859505400283667865942818', 'a10': [0.0, 0.0], 'a2': [-1.6944217302735818, -0.14824269263091935], 'a3': [1.721246778766547, 0.19315674097940677], 'a4': [0.8794735980804373, 0.15507492416233357], 'a5': [0.0, 0.0], 'a6': [-2.8878838697228413, -0.5824512364309817], 'a7': [-0.2902525442917411, -0.20323701949762477], 'a8': [1.818664715363944, 0.48730974178474645], 'a9': [2.9253809468284286, 0.6649408364156965], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.389902136436429, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-1.721246778766547, -0.19315674097940677]]], [5, [[1.0, 0], [0, 0]]]], 'bad_primes': [3, 5], 'central_character': '675.518', 'coefficient_field': 'CDF', 'conductor': 675, 'conductor_radical': 15, 'conjugate': '1529172948653907039869772648331', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.6944217302735818, 0.14824269263091935], [1.969615506024416, 0.3472963553338607]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 5.389902136436429, 'bad_primes': [3, 5], 'central_character': '135.113', 'conductor': 675, 'conductor_radical': 15, 'degree': 2, 'index': 18, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/675/2/ba/c/518/6'], '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': '2-675-135.113-c1-0-18', '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': '2-675-135.113-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.321616276742655, 'root_angle': -0.01844084088179097, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.07768485989707330481403823460', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1366127859505400283667865942818', 'Lhash_array': ['1366127859505400283667865942818'], 'label': '2-675-135.113-c1-0-18', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/675/2/ba/c/518/6'}