M000251
$$\pi=345614844\arctan\left(\frac{1}{194195097}\right)-21950424\arctan\left(\frac{1}{230845763}\right)+338106348\arctan\left(\frac{1}{285310891}\right)+253695712\arctan\left(\frac{1}{1849507057}\right)+455403500\arctan\left(\frac{1}{2340358307}\right)+255167644\arctan\left(\frac{1}{2616939213}\right)-41363324\arctan\left(\frac{1}{2674664693}\right)-175060324\arctan\left(\frac{1}{2701984943}\right)-71485780\arctan\left(\frac{1}{4309606382}\right)-631246344\arctan\left(\frac{1}{7193374037}\right)+92456224\arctan\left(\frac{1}{8818809606}\right)+153892420\arctan\left(\frac{1}{11115923863}\right)+440389740\arctan\left(\frac{1}{37042993723}\right)-235580172\arctan\left(\frac{1}{48794637562}\right)-369857996\arctan\left(\frac{1}{70449904728}\right)+127682688\arctan\left(\frac{1}{219231737743}\right)+369857996\arctan\left(\frac{1}{723981411148}\right)+388103788\arctan\left(\frac{1}{74796038391693}\right)$$