rank,optimal,eigen_tail,monte_carlo,random_mean 0,53.227709338115105,53.22770933811514,53.24840169607036,53.227709338115126 1,20.873029838637056,20.873029838637034,20.936224475033114,47.13491936349961 2,8.747365558374991,8.747365558374954,8.781345798795524,42.32385941125547 3,3.0878961061455508,3.087896106145517,3.090758453745975,36.32871450258993 4,1.2430354827742505,1.2430354827742116,1.2411535092869983,33.08246290856547 5,0.3570940746775228,0.35709407467748316,0.35738035665244416,26.19024404155683 6,0.18110843980940478,0.18110843980936503,0.18198504884752706,21.467976360529 7,0.0752025313543853,0.07520253135434582,0.0751967061248412,15.043195102184134 8,0.01570741597686679,0.015707415976827014,0.015567461019803622,10.492113397771702 9,0.0023179389873050392,0.0023179389872632675,0.0023047606218022753,5.087921609516413 10,3.9536936289179505e-14,0.0,5.161803653847851e-29,1.0319452331728648e-15