M000135
$$\pi=2476996\arctan\left(\frac{1}{1635786}\right)+6307136\arctan\left(\frac{1}{6225244}\right)+6794460\arctan\left(\frac{1}{18975991}\right)+4755324\arctan\left(\frac{1}{22709274}\right)+4745424\arctan\left(\frac{1}{24185182}\right)-117852\arctan\left(\frac{1}{24208144}\right)-7936328\arctan\left(\frac{1}{52630807}\right)-2488948\arctan\left(\frac{1}{54610269}\right)+4983704\arctan\left(\frac{1}{115453918}\right)+344232\arctan\left(\frac{1}{201229582}\right)+3196188\arctan\left(\frac{1}{909140573}\right)+4582148\arctan\left(\frac{1}{2189376182}\right)+2873076\arctan\left(\frac{2}{4532659739}\right)$$