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lfunc_lfunctions • Show schema
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{'Lhash': '1849831862311885834888053209612', 'a10': [6.334445224256952, 0.0], 'a2': [2.379512014701959, 0.0], 'a3': [1.0, 0.0], 'a4': [3.6620774281109743, 0.0], 'a5': [2.6620774281109743, 0.0], 'a6': [2.379512014701959, 0.0], 'a7': [-1.0, 0.0], 'a8': [3.954933209554994, 0.0], 'a9': [1.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 28.338907677352424, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-1.0, 0]]], [7, [[1.0, 0], [1.0, 0]]], [13, [[1.0, 0], [0, 0]]]], 'bad_primes': [3, 7, 13], 'central_character': '3549.1', 'coefficient_field': 'CDF', 'conductor': 3549, 'conductor_radical': 273, 'degree': 2, 'euler_factors': [[[1.0, 0], [-2.379512014701959, 0], [2.0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], [-2.6620774281109743, 0], [5.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [1.5754211948530352, 0], [11.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-4.759024029403918, 0], [17.0, 0]], [[1.0, 0], [-2.2374986229640097, 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'3.78237097155055138308878084879196', '4.92951315860804532522411576726936', '5.45555404265143808792546031198283', '5.99927294328312235150368730756516', '6.96222868237090385050151852219775', '7.40660935776019911303375777022723', '8.625073317354607586921494520397662'], 'prelabel': '2-3549-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.3234300669166705, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.45926003741002433156416020863', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.45972492130101111395531131123', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.11120835458527049149818695787', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 28.338907677352424, 'bad_primes': [3, 7, 13], 'central_character': '1.1', 'conductor': 3549, 'conductor_radical': 273, 'degree': 2, 'index': 122, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3549/2/a/w/1/4'], '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': '2-3549-1.1-c1-0-122', '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': '2-3549-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.3234300669166705, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.45926003741002433156416020863', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1849831862311885834888053209612', 'Lhash_array': ['1849831862311885834888053209612'], 'label': '2-3549-1.1-c1-0-122', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3549/2/a/w/1/4'}