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lfunc_lfunctions • Show schema
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{'Lhash': '305475772347097993192756355159', 'a10': [0.0, 83.82156651421872], 'a2': [0.0, -4.844846592162325], 'a3': [-5.11672771889617, 0.9050400271146012], 'a4': [-15.472538501586895, 0.0], 'a5': [-17.301180732909014, 0.0], 'a6': [4.384780091136674, 24.789760851916615], 'a7': [0.0, 0.0], 'a8': [0.0, 36.20330269421503], 'a9': [25.361805098640804, -9.261686786895643], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 8.673280770843874, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [5.11672771889617, -0.9050400271146012]]], [7, [[1.0, 0], [0, 0]]]], 'bad_primes': [3, 7], 'central_character': '147.146', 'coefficient_field': 'CDF', 'conductor': 147, 'conductor_radical': 21, 'conjugate': '1303708527861973296962573617778', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 4.844846592162325], [-8.0, 0]], [[1.0, 0], [5.11672771889617, -0.9050400271146012]], [[1.0, 0], [17.301180732909014, 0], [125.0, 0]], [[1.0, 0], [0, 0]], 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103}, 'z3': {'__RealLiteral__': 0, 'data': '4.96970903023232150018878087500', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 8.673280770843874, 'bad_primes': [3, 7], 'central_character': '21.20', 'conductor': 147, 'conductor_radical': 21, 'degree': 2, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/147/4/c/b/146/3'], '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': '2-147-21.20-c3-0-2', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-147-21.20-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.9450434242713426, 'root_angle': 0.03921672494176064, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '0.24097789429681944898969593324', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '305475772347097993192756355159', 'Lhash_array': ['305475772347097993192756355159'], 'label': '2-147-21.20-c3-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/147/4/c/b/146/3'}