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lfunc_lfunctions • Show schema
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{'Lhash': '1079133446575450884638110328001', 'a10': [-1.0, 0.0], 'a2': [-1.0, 0.0], 'a3': [0.0, 0.0], 'a4': [1.0, 0.0], 'a5': [1.0, 0.0], 'a6': [0.0, 0.0], 'a7': [1.0, 0.0], 'a8': [-1.0, 0.0], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 55.336328600747336, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.0, 0]]], [3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [-1.0, 0]]], [7, [[1.0, 0], [-1.0, 0]]], [11, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [2, 3, 5, 7, 11], 'central_character': '6930.1', 'coefficient_field': 'CDF', 'conductor': 6930, 'conductor_radical': 2310, 'degree': 2, 'euler_factors': [[[1.0, 0], [1.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], [0.6945927106677214, 0], [13.0, 0]], [[1.0, 0], [-2.694592710667721, 0], [17.0, 0]], [[1.0, 0], [-5.517540966287267, 0], [19.0, 0]], [[1.0, 0], [-7.433762834284103, 0], [23.0, 0]], [[1.0, 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'5.75988713873773532899181444454145', '6.77158758952053823195426772353540', '7.39421500286946052716792106936860', '7.83137692836985750234563017542558'], 'prelabel': '2-6930-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.438839197129303, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.851286187519780566946491845247', 'prec': 107}, 'z2': {'__RealLiteral__': 0, 'data': '1.58145068022609358610088140695', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.65085672423893477198451842824', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 55.336328600747336, 'bad_primes': [2, 3, 5, 7, 11], 'central_character': '1.1', 'conductor': 6930, 'conductor_radical': 2310, 'degree': 2, 'index': 38, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/6930/2/a/ci/1/2'], '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': '2-6930-1.1-c1-0-38', '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': '2-6930-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.438839197129303, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.851286187519780566946491845247', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1079133446575450884638110328001', 'Lhash_array': ['1079133446575450884638110328001'], 'label': '2-6930-1.1-c1-0-38', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/6930/2/a/ci/1/2'}