M000348
$$\pi=8109980481740\arctan\left(\frac{1}{16083127751238}\right)-1189026102180\arctan\left(\frac{1}{16248096944867}\right)-2224802852104\arctan\left(\frac{1}{16326085782557}\right)+3168114551516\arctan\left(\frac{1}{19337029786167}\right)+28218176030212\arctan\left(\frac{1}{19507778531302}\right)+18245343328936\arctan\left(\frac{1}{20293776947868}\right)-13539520253584\arctan\left(\frac{1}{21602138452318}\right)-10722255987816\arctan\left(\frac{2}{69569213044365}\right)+6381417331708\arctan\left(\frac{1}{36918949984093}\right)+13541534903244\arctan\left(\frac{1}{69971515635443}\right)+35958359688036\arctan\left(\frac{1}{79507238248932}\right)+10207107500436\arctan\left(\frac{1}{93544794530637}\right)+20058182469380\arctan\left(\frac{2}{194151845499011}\right)+42401691469160\arctan\left(\frac{1}{129271780546462}\right)-14859916925720\arctan\left(\frac{2}{269506107350815}\right)-9634542643636\arctan\left(\frac{1}{309087578314273}\right)+228607958100\arctan\left(\frac{1}{412252392763333}\right)-7487787074436\arctan\left(\frac{1}{600662758381590}\right)-4894044563056\arctan\left(\frac{1}{686308367425978}\right)-15913534503856\arctan\left(\frac{1}{832181505450757}\right)+28814330802288\arctan\left(\frac{1}{1015679391413874}\right)-16098104781648\arctan\left(\frac{1}{1367017926441055}\right)-23721492905080\arctan\left(\frac{1}{1443713070245525}\right)-20954476033456\arctan\left(\frac{1}{2799978903689557}\right)-35863557953084\arctan\left(\frac{2}{7783134400901473}\right)+9857271366092\arctan\left(\frac{1}{4088593248636842}\right)+24038500828228\arctan\left(\frac{1}{4161072789242257}\right)-15996285010464\arctan\left(\frac{1}{6805164953551432}\right)+3656782711348\arctan\left(\frac{1}{7474541196075273}\right)-12314522700108\arctan\left(\frac{1}{74295753693510382}\right)$$