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lfunc_lfunctions • Show schema
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{'Lhash': '953531376353058992053683677082', 'a10': [0.0, 0.0], 'a2': [0.3182655996104385, -0.26705654724953476], 'a3': [-0.15981454958848385, 1.724662085667749], 'a4': [-0.31732256286731175, 1.799625681743883], 'a5': [0.0, 0.0], 'a6': [0.40971882831935946, 0.5915801346337756], 'a7': [0.22915118826833333, 1.299580967969994], 'a8': [0.7950751988424003, 1.3771106402329651], 'a9': [-2.94891861947966, -0.551252188826653], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.389902136436429, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0.15981454958848385, -1.724662085667749]]], [5, [[1.0, 0], [0, 0]]]], 'bad_primes': [3, 5], 'central_character': '675.76', 'coefficient_field': 'CDF', 'conductor': 675, 'conductor_radical': 15, 'conjugate': '2783620278757916372701936032620', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.3182655996104385, 0.26705654724953476], [0.3472963553338607, -1.969615506024416]], [[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': '27.22', 'conductor': 675, 'conductor_radical': 15, 'degree': 2, 'index': 12, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/675/2/l/c/76/1'], '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': '2-675-27.22-c1-0-12', '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': '2-675-27.22-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.321616276742655, 'root_angle': -0.3818079845618579, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.75220362470651140699437670473', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '953531376353058992053683677082', 'Lhash_array': ['953531376353058992053683677082'], 'label': '2-675-27.22-c1-0-12', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/675/2/l/c/76/1'}