M000312

$$\pi=-2892581443936\arctan\left(\frac{1}{2056424542203}\right)+1036678168064\arctan\left(\frac{2}{4414919775989}\right)-6678116952764\arctan\left(\frac{1}{2292939666693}\right)+9210911996428\arctan\left(\frac{2}{8471235750041}\right)+9426402664388\arctan\left(\frac{1}{5727066010185}\right)+202798758392\arctan\left(\frac{1}{5945958754193}\right)+3884884070724\arctan\left(\frac{1}{7758917519457}\right)+11472711022212\arctan\left(\frac{1}{10546511281730}\right)+1285092665872\arctan\left(\frac{1}{11244667034168}\right)+1655412598400\arctan\left(\frac{2}{23780027088431}\right)+8304920615028\arctan\left(\frac{2}{28456536638489}\right)+6659750656564\arctan\left(\frac{1}{15962244871097}\right)+7717003231748\arctan\left(\frac{1}{24405694099301}\right)+6797581707204\arctan\left(\frac{1}{33308851938318}\right)-362923517408\arctan\left(\frac{1}{41887379804066}\right)-6269495573392\arctan\left(\frac{1}{42859110883727}\right)-1764953810744\arctan\left(\frac{1}{69971515635443}\right)-248110566024\arctan\left(\frac{1}{94465125845354}\right)-1092975334228\arctan\left(\frac{1}{158682175700807}\right)-9369829543136\arctan\left(\frac{1}{187458398552950}\right)+470484427916\arctan\left(\frac{1}{211773236092865}\right)-860486452340\arctan\left(\frac{1}{258213230677943}\right)+650394676108\arctan\left(\frac{1}{370392816588001}\right)+5859341015896\arctan\left(\frac{1}{758341235653128}\right)-4497065740192\arctan\left(\frac{1}{1427056404016693}\right)+14603462597864\arctan\left(\frac{1}{2270451385422943}\right)+4897681109672\arctan\left(\frac{1}{4204987898062723}\right)$$