use a small torch lighter and heat the point without applying any direct heat to the shaft. Keep trying it until it comes out. You don't want to overheat it, or pull to hard as sometimes some of the carbon comes with the insert.
Another method that I use it to remove the nock from the arrow and insert a drill bit that is slightly smaller than the inside diameter of the shaft. Hold the arrow with the insert "up" with your palm covering the open end of the shaft with the drill bit. By flipping the insert end of the arrow towards the floor rapidly, you will jackhammer the insert out of the arrow. This works great but make sure you do it in a safe location as the insert and the drill bit will leave the shaft in a hurry after it gives way.
I use a candle to heat the point up slow,The heat from a candle is not as intense as torch but keep turning the shaft while you heat the point try to keep the heat the same all the way around the point and shaft,Keep the shaft and point out of the flame just above the flame about 1/2 inch or so and you will get those points out of carbon arrows that have been epoxied in.
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