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lfunc_lfunctions • Show schema
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{'Lhash': '3120247666095783200395737569993', 'a10': [-0.2954753727297451, 2.5228053357632114], 'a2': [-0.5679723786437643, -0.9837570171067481], 'a3': [0.2736252888971991, 1.0211834804000595], 'a4': [0.35481475419548886, -0.6145571815416492], 'a5': [-1.7932877546556407, -1.3357091857893808], 'a6': [0.8491848084050204, -0.8491848084050204], 'a7': [-0.422838838375477, -1.5780560282306848], 'a8': [-3.0779894342483147, 0.0], 'a9': [1.630131309435413, -0.9411567503169729], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.4772324373936878, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [1.7932877546556407, 1.3357091857893808]]], [37, [[1.0, 0], [-1.7180362386421013, -5.835096527283204]]]], 'bad_primes': [5, 37], 'central_character': '185.103', 'coefficient_field': 'CDF', 'conductor': 185, 'conductor_radical': 185, 'conjugate': '1207026506635644660833803183427', 'degree': 2, 'euler_factors': [[[1.0, 0], 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'7.60154487267998153674196114026979', '8.514600774466965440693172187068884', '9.723300572875545088473270593331217', '11.07047352098185464432629369904098', '12.18905697655480173527932315023396', '12.56900097211587951362222230755605'], 'prelabel': '2-185-185.103-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.2154145125814846, 'root_angle': 0.3059750710686549, 'root_number': '-0.3444958821577487 + 0.9387878286260184*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.305975071069', 'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.46144139839006892216353934050', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.99651990102053181674775130694', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.94100851224898387509249897724', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.4772324373936878, 'bad_primes': [5, 37], 'central_character': '185.103', 'conductor': 185, 'conductor_radical': 185, 'degree': 2, 'index': 11, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/185/2/p/a/103/6'], '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': '2-185-185.103-c1-0-11', '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': '2-185-185.103-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.2154145125814846, 'root_angle': 0.3059750710686549, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.46144139839006892216353934050', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3120247666095783200395737569993', 'Lhash_array': ['3120247666095783200395737569993'], 'factors': ['2-185-185.103-c1-0-11'], 'label': '2-185-185.103-c1-0-11', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/185/2/p/a/103/6'}