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lfunc_lfunctions • Show schema
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{'Lhash': '1509863515061173316918958614868', 'a10': [-0.2948690120504121, 2.216540607733685], 'a2': [0.7818314824680298, -0.6234898018587335], 'a3': [0.6771341812656372, 2.966718689657572], 'a4': [0.2225209339563144, -0.9749279121818236], 'a5': [-1.6125283411529692, 1.5491134073974229], 'a6': [2.37912366875389, 1.8972878146915024], 'a7': [0.8227787829927876, 0.5169861742789219], 'a8': [-0.4338837391175581, -0.9009688679024191], 'a9': [-5.640002480417999, 2.716082044580814], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.3156616586171324, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.7818314824680298, 0.6234898018587335]]], [5, [[1.0, 0], [1.6125283411529692, -1.5491134073974229]]], [29, [[1.0, 0], [-4.054487718936204, -3.544168356186751]]]], 'bad_primes': [2, 5, 29], 'central_character': '290.263', 'coefficient_field': 'CDF', 'conductor': 290, 'conductor_radical': 290, 'conjugate': 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0.9884581737889833*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.225795785438', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.19107229925133597453551004360', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.90598315605477906030659328082', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.41756290365620772980307752348', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.3156616586171324, 'bad_primes': [2, 5, 29], 'central_character': '145.118', 'conductor': 290, 'conductor_radical': 290, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/290/2/o/b/263/8'], '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': '2-290-145.118-c1-0-1', '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': '2-290-145.118-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.5217298244488515, 'root_angle': -0.22579578543780535, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.19107229925133597453551004360', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1509863515061173316918958614868', 'Lhash_array': ['1509863515061173316918958614868'], 'factors': ['2-290-145.118-c1-0-1'], 'label': '2-290-145.118-c1-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/290/2/o/b/263/8'}