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lfunc_lfunctions • Show schema
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{'Lhash': '1211889067942854583714027212476', 'a10': [-3.6128982496845023, 2.085907777010075], 'a2': [0.9240657689176969, 2.538849834192345], 'a3': [-0.7955813896687691, -1.5385221000728946], 'a4': [-4.059772049055087, 3.406553229025954], 'a5': [0.2681292115342916, 1.5206363226828588], 'a6': [3.170907050090446, -3.441557286647799], 'a7': [-1.6450276250215254, 2.072168939279816], 'a8': [-7.720590153561741, -4.457484803461645], 'a9': [-1.7341005048254203, 2.448039100824213], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.5091725982022, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0.7955813896687691, 1.5385221000728946]]], [7, [[1.0, 0], [1.6450276250215254, -2.072168939279816]]]], 'bad_primes': [3, 7], 'central_character': '189.20', 'coefficient_field': 'CDF', 'conductor': 189, 'conductor_radical': 21, 'conjugate': '4031808144964818479056690538225', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.9240657689176969, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.5091725982022, 'bad_primes': [3, 7], 'central_character': '189.20', 'conductor': 189, 'conductor_radical': 21, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/189/2/be/a/20/21'], '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': '2-189-189.20-c1-0-1', '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': '2-189-189.20-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.2284838615961546, 'root_angle': -0.47292562488031503, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.956011907164848546056833043654', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1211889067942854583714027212476', 'Lhash_array': ['1211889067942854583714027212476'], 'factors': ['2-189-189.20-c1-0-1'], 'label': '2-189-189.20-c1-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/189/2/be/a/20/21'}