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lfunc_lfunctions • Show schema
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{'Lhash': '1759385692875732196918779582936', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [0.0, 0.0], 'a4': [0.7071067811865476, -0.7071067811865476], 'a5': [0.0, 0.0], 'a6': [0.0, 0.0], 'a7': [0.0, 0.0], 'a8': [0.0, 0.0], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.2980680978584394, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [17, [[1.0, 0], [0, 0]]]], 'bad_primes': [3, 17], 'central_character': '2601.1603', 'coefficient_field': 'CDF', 'conductor': 2601, 'conductor_radical': 51, 'conjugate': '1501255006532589298392609382924', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0], [-0.7071067811865476, 0.7071067811865476]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, 0], [-0.9238795325112867, -0.3826834323650898]], [[1.0, 0], [0, 0], [-0.9238795325112867, 0.3826834323650898]], [[1.0, 0], [0, 0], [0.3826834323650898, 0.9238795325112867]], [[1.0, 0], [-1.4142135623730951, -1.4142135623730951], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.2980680978584394, 'bad_primes': [3, 17], 'central_character': '17.5', 'conductor': 2601, 'conductor_radical': 51, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2601/1/p/a/1603/1'], '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': '2-51e2-17.5-c0-0-1', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'prelabel': '2-51e2-17.5-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.1393279149825302, 'root_angle': 0.0867236897094665, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '1.38791059031484716179701723393', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1759385692875732196918779582936', 'Lhash_array': ['1759385692875732196918779582936'], 'label': '2-51e2-17.5-c0-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2601/1/p/a/1603/1'}