M000279

$$\pi=12621778600\arctan\left(\frac{2}{10355370165}\right)-4365018708\arctan\left(\frac{1}{32863722478}\right)+5716583896\arctan\left(\frac{2}{86479075199}\right)+16914334124\arctan\left(\frac{2}{112899039159}\right)+29842080316\arctan\left(\frac{2}{141557044489}\right)+6122447820\arctan\left(\frac{1}{71617196968}\right)-1727948868\arctan\left(\frac{1}{78535779057}\right)+1363211624\arctan\left(\frac{1}{102428655030}\right)+9939054248\arctan\left(\frac{1}{197877956739}\right)-9680764036\arctan\left(\frac{1}{225891903693}\right)-3154478664\arctan\left(\frac{1}{283378114193}\right)+8467705996\arctan\left(\frac{1}{324363564309}\right)-19494959400\arctan\left(\frac{1}{469027618483}\right)-11922957020\arctan\left(\frac{1}{492806748932}\right)-27916179396\arctan\left(\frac{1}{821345641657}\right)-29842080316\arctan\left(\frac{1}{1837451599807}\right)+1745608104\arctan\left(\frac{1}{3737240479718}\right)-7106582816\arctan\left(\frac{1}{28148191112477}\right)+3319338608\arctan\left(\frac{1}{55707370528529}\right)-6679941356\arctan\left(\frac{1}{69971515635443}\right)-12601817848\arctan\left(\frac{1}{109805699900318}\right)+3959621036\arctan\left(\frac{1}{7474541196075273}\right)$$