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lfunc_lfunctions • Show schema
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{'Lhash': '2932001504881234882025263119728', 'a10': [0.9102381038989712, -2.0424168512354197], 'a2': [0.8090169943749475, 0.5877852522924731], 'a3': [0.7329578105938128, -2.255812187108595], 'a4': [0.30901699437494745, 0.9510565162951535], 'a5': [-0.46410440920791285, -2.1873744757937024], 'a6': [1.9189084604543096, -1.3941686038693493], 'a7': [1.9621959637348891, -1.7747639279359129], 'a8': [-0.30901699437494745, 0.9510565162951535], 'a9': [-2.1244104882723454, -1.543474566670493], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 6.148480955638592, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.8090169943749475, -0.5877852522924731]]], [5, [[1.0, 0], [0.46410440920791285, 2.1873744757937024]]], [7, [[1.0, 0], [-1.9621959637348891, 1.7747639279359129]]], [11, [[1.0, 0], [2.633147636072384, 2.0165647836472838]]]], 'bad_primes': [2, 5, 7, 11], 'central_character': '770.139', 'coefficient_field': 'CDF', 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'0.264784853282', 'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.31294136124997981261572410241', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.02136673105132040147461031041', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.18726857805395897654956736331', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 6.148480955638592, 'bad_primes': [2, 5, 7, 11], 'central_character': '385.139', 'conductor': 770, 'conductor_radical': 770, 'degree': 2, 'index': 44, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/770/2/w/b/139/21'], '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': '2-770-385.139-c1-0-44', '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': '2-770-385.139-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.4796130657097675, 'root_angle': 0.26478485328201823, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.31294136124997981261572410241', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2932001504881234882025263119728', 'Lhash_array': ['2932001504881234882025263119728'], 'label': '2-770-385.139-c1-0-44', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/770/2/w/b/139/21'}