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lfunc_lfunctions • Show schema
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{'Lhash': '1084437556879532111134041457428', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 367.37951309973346], 'a4': [0, 0], 'a5': [5516.960142677916, 0], 'a6': [0, 0], 'a7': [-5761.592477278071, 0], 'a8': [0, 0], 'a9': [-75918.70664539722, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 48.28715120320306, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '5.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [19, [[1.0, 0], [-1096294.2136770573, -2220181.356299346]]]], 'bad_primes': [2, 19], 'central_character': '76.37', 'coefficient_field': 'CDF', 'conductor': 76, 'conductor_radical': 38, 'conjugate': '1871203199998545375130809310249', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, -367.37951309973346], [-59049.0, 0]], [[1.0, 0], [-5516.960142677916, 0], [9765625.0, 0]], [[1.0, 0], [5761.592477278071, 0], [282475249.0, 0]], [[1.0, 0], [-176831.50246033748, 0], [25937424601.0, 0]], [[1.0, 0], [0, -153841.82425955014], [-137858491849.0, 0]], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 48.28715120320306, 'bad_primes': [2, 19], 'central_character': '19.18', 'conductor': 76, 'conductor_radical': 38, 'degree': 2, 'index': 8, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/76/11/c/b/37/12'], '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': '2-76-19.18-c10-0-8', 'motivic_weight': 10, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [10], 'order_of_vanishing': 0, 'prelabel': '2-76-19.18-c10-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.948895682279527, 'root_angle': -0.3229986380116228, 'self_dual': False, 'spectral_label': 'c10-0', 'z1': {'__RealLiteral__': 0, 'data': '0.855470392775650179467989999284146', 'prec': 117}}
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lfunc_instances • Show schema
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{'Lhash': '1084437556879532111134041457428', 'Lhash_array': ['1084437556879532111134041457428'], 'label': '2-76-19.18-c10-0-8', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/76/11/c/b/37/12'}