M000208
$$\pi=1777667516\arctan\left(\frac{1}{657922943}\right)-387683036\arctan\left(\frac{1}{727507932}\right)+223433268\arctan\left(\frac{2}{1498434239}\right)-597802408\arctan\left(\frac{1}{934981432}\right)+2660821080\arctan\left(\frac{1}{1711814953}\right)+1383292768\arctan\left(\frac{2}{4417955351}\right)-1898018204\arctan\left(\frac{1}{5606994804}\right)-1177206100\arctan\left(\frac{1}{7804016832}\right)-2384989164\arctan\left(\frac{1}{9398109378}\right)-2036595448\arctan\left(\frac{2}{27894683333}\right)+457215076\arctan\left(\frac{2}{74522099649}\right)+3300214208\arctan\left(\frac{1}{66492889557}\right)-1242176048\arctan\left(\frac{1}{68844144046}\right)-3259392272\arctan\left(\frac{1}{106334643058}\right)+475611908\arctan\left(\frac{1}{134520516108}\right)+57905980\arctan\left(\frac{1}{190122366697}\right)+1522225092\arctan\left(\frac{1}{293153860797}\right)+914713368\arctan\left(\frac{1}{169838669284032}\right)$$