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lfunc_lfunctions • Show schema
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{'Lhash': '2624848356697215472513117554700', 'a10': [1.8846884392119136, 1.7249174465181663], 'a2': [1.399897503130564, -0.2007161695748814], 'a3': [0.881921264348355, -0.47139673682599764], 'a4': [1.919426038542375, -0.5619641292516147], 'a5': [1.146075908766893, 1.396497535423903], 'a6': [1.1399824285531996, -0.8369229729132479], 'a7': [-0.8821445175461927, 0.5894301221819921], 'a8': [2.574204431337393, -1.171952023626791], 'a9': [0.5555702330196022, -0.8314696123025452], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.0662554376171682, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.399897503130564, 0.2007161695748814]]], [3, [[1.0, 0], [-0.881921264348355, 0.47139673682599764]]]], 'bad_primes': [2, 3], 'central_character': '384.229', 'coefficient_field': 'CDF', 'conductor': 384, 'conductor_radical': 6, 'conjugate': '2663395665833751754992055283958', 'degree': 2, 'euler_factors': [[[1.0, 0], 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[[1.0, 0], [-2.981234368772842, 0.29362595671704694], [81.40517827346812, -16.192496727338646]], [[1.0, 0], [-5.5471133706581846, -1.1033894526809738], [82.22527839350452, 34.05882548049299]], [[1.0, 0], [2.7449514774216106, 2.7449514774216106], [0, 97.0]], [[1.0, 0], [-0.8885002397384779, 9.021094323496088], [-99.05931332072628, -19.704122523628953]], [[1.0, 0], [0.6127055641493921, -3.0802788796934863], [-95.15959184866253, -39.41639353360425]], [[1.0, 0], [-5.038390368627161, 9.426165386928455], [-59.44601493309744, -88.96724851637234]], [[1.0, 0], [1.1133462037171498, 11.303993706737707], [-106.90559556395212, 21.26484509975798]], [[1.0, 0], [-13.907131270916718, -5.7605223861166825], [79.90306627407988, 79.90306627407988]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'index': 25, 'label': '2-384-128.101-c1-0-25', 'load_key': 'CMFs-workshop', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 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'0.9735924177272717 + 0.22829324156436562*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0366572459568', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.07064025073205068287236101661', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.22230548668113310712433603144', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.76629591246264257235912903657', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.0662554376171682, 'bad_primes': [2, 3], 'central_character': '128.101', 'conductor': 384, 'conductor_radical': 6, 'degree': 2, 'index': 25, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/384/2/v/a/229/30'], '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': '2-384-128.101-c1-0-25', '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': '2-384-128.101-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.7510726534376488, 'root_angle': 0.036657245956834346, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.07064025073205068287236101661', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2624848356697215472513117554700', 'Lhash_array': ['2624848356697215472513117554700'], 'label': '2-384-128.101-c1-0-25', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/384/2/v/a/229/30'}