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lfunc_lfunctions • Show schema
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{'Lhash': '2442553291078857466586253682042', 'a10': [-187.37986312738, -254.73277546158906], 'a2': [-3.2893031998941593, 4.602226033037279], 'a3': [3.33289013515371, -15.227995381762994], 'a4': [-10.360968918332087, -30.276233634211447], 'a5': [-17.374644603642004, 53.13305679985986], 'a6': [59.119790590464326, 65.42820768246403], 'a7': [121.10777710114293, 0.0], 'a8': [173.41843883076044, 51.90419129031687], 'a9': [-220.78368669399018, -101.50647117208828], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 9.62302918877884, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [3.2893031998941593, -4.602226033037279]]], [3, [[1.0, 0], [-3.33289013515371, 15.227995381762994]]], [5, [[1.0, 0], [17.374644603642004, -53.13305679985986]]]], 'bad_primes': [2, 3, 5], 'central_character': '60.59', 'coefficient_field': 'CDF', 'conductor': 60, 'conductor_radical': 30, 'conjugate': '491189262794702965958105680101', 'degree': 2, 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0.9797097575947836*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.282115583913', 'prec': 47}, 'spectral_label': 'c5-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.92683480025102904013293698837', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '4.02480082367461198900966952108', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.96309035521510076219111703421', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 9.62302918877884, 'bad_primes': [2, 3, 5], 'central_character': '60.59', 'conductor': 60, 'conductor_radical': 30, 'degree': 2, 'index': 41, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/60/6/h/c/59/16'], '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': '2-60-60.59-c5-0-41', 'motivic_weight': 5, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [5], 'order_of_vanishing': 0, 'prelabel': '2-60-60.59-c5-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.1021007702489034, 'root_angle': 0.28211558391255664, 'self_dual': False, 'spectral_label': 'c5-0', 'z1': {'__RealLiteral__': 0, 'data': '1.92683480025102904013293698837', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2442553291078857466586253682042', 'Lhash_array': ['2442553291078857466586253682042'], 'label': '2-60-60.59-c5-0-41', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/60/6/h/c/59/16'}