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lfunc_lfunctions • Show schema
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{'Lhash': '3312561758470498952475240547007', 'a10': [2.7600415039215536, -7.583151708782045], 'a2': [1.9854174007190166, 1.6659630086762809], 'a3': [0.9159943296764889, -1.4700184992035032], 'a4': [0.8191531534662698, 4.645648386735772], 'a5': [-1.0649218930443325, -2.9258488546221737], 'a6': [4.267627522842512, -1.3925876382992326], 'a7': [-1.524724653477638, 2.6409005673761197], 'a8': [-3.5213390916068996, 6.099138217341587], 'a9': [-1.3219087760010395, -2.6930572195799023], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.3654418745638952, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-0.9159943296764889, 1.4700184992035032]]], [19, [[1.0, 0], [3.5764884547362277, -2.4917323959724222]]]], 'bad_primes': [3, 19], 'central_character': '171.14', 'coefficient_field': 'CDF', 'conductor': 171, 'conductor_radical': 57, 'conjugate': '3483117409100196611940121784866', 'degree': 2, 'euler_factors': [[[1.0, 0], 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'-0.133078184918', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.61315046738754447422858556097', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.69063208915605254230255907950', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.14104580933507858536697868680', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.3654418745638952, 'bad_primes': [3, 19], 'central_character': '171.14', 'conductor': 171, 'conductor_radical': 57, 'degree': 2, 'index': 12, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/171/2/x/a/14/17'], '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': '2-171-171.14-c1-0-12', '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': '2-171-171.14-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.1685212341091176, 'root_angle': -0.1330781849180855, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.61315046738754447422858556097', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3312561758470498952475240547007', 'Lhash_array': ['3312561758470498952475240547007'], 'label': '2-171-171.14-c1-0-12', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/171/2/x/a/14/17'}