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lfunc_lfunctions • Show schema
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{'Lhash': '1028726432198688158613426350455', 'a10': [116.214824151941, 64.49345074719851], 'a2': [3.4975274233421194, 1.9409538693564654], 'a3': [0, 0], 'a4': [8.465396154060329, 13.57707877103247], 'a5': [33.22770920288883, 0], 'a6': [0, 0], 'a7': [0, 46.16022809702936], 'a8': [3.255471623087915, 63.917148751420925], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 33.491868039165574, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-3.4975274233421194, -1.9409538693564654]]], [3, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3], 'central_character': '324.163', 'coefficient_field': 'CDF', 'conductor': 324, 'conductor_radical': 6, 'conjugate': '2592518150575295446284021923377', 'degree': 2, 'euler_factors': [[[1.0, 0], [-3.4975274233421194, -1.9409538693564654]], [[1.0, 0], [0, 0]], [[1.0, 0], [-33.22770920288883, 0], [625.0, 0]], [[1.0, 0], [0, -46.16022809702936], [-2401.0, 0]], [[1.0, 0], [0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 33.491868039165574, 'bad_primes': [2, 3], 'central_character': '4.3', 'conductor': 324, 'conductor_radical': 6, 'degree': 2, 'index': 44, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/324/5/d/e/163/20'], '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': '2-18e2-4.3-c4-0-44', 'motivic_weight': 4, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [4], 'order_of_vanishing': 0, 'prelabel': '2-18e2-4.3-c4-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.787215914337875, 'root_angle': -0.3387327926686831, 'self_dual': False, 'spectral_label': 'c4-0', 'z1': {'__RealLiteral__': 0, 'data': '0.811522064529038966671569302536', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1028726432198688158613426350455', 'Lhash_array': ['1028726432198688158613426350455'], 'label': '2-18e2-4.3-c4-0-44', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/324/5/d/e/163/20'}