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lfunc_lfunctions • Show schema
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{'Lhash': '1220626311155302737011848838791', 'a10': [0.0, 0.0], 'a2': [1.2699451967957374, 1.7479296088588594], 'a3': [-0.9510565162951535, -0.30901699437494745], 'a4': [-0.8244631259110263, 2.5374365896244138], 'a5': [0.0, 0.0], 'a6': [-0.667649700641775, -2.054814492265177], 'a7': [0.0, 3.160559816434169], 'a8': [-1.372654547761913, 0.44600249869151815], 'a9': [0.8090169943749475, 0.5877852522924731], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.994390075798016, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0.9510565162951535, 0.30901699437494745]]], [5, [[1.0, 0], [0, 0]]]], 'bad_primes': [3, 5], 'central_character': '375.199', 'coefficient_field': 'CDF', 'conductor': 375, 'conductor_radical': 15, 'conjugate': '3044246868718787733451793614415', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.2699451967957374, -1.7479296088588594], [-0.6180339887498949, 1.902113032590307]], [[1.0, 0], [0.9510565162951535, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.994390075798016, 'bad_primes': [3, 5], 'central_character': '25.14', 'conductor': 375, 'conductor_radical': 15, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/375/2/i/d/199/6'], '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': '2-375-25.14-c1-0-3', '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': '2-375-25.14-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.7304306041555138, 'root_angle': -0.3989078471279703, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.962904376754556537429635883759', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1220626311155302737011848838791', 'Lhash_array': ['1220626311155302737011848838791'], 'label': '2-375-25.14-c1-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/375/2/i/d/199/6'}