it the following example for page 56 of the book http://www.craigcostello.com.au/pairings/PairingsForBeginners.pdf I could not understand how the author found the Weil pairing of two points p and Q. I attached the picture of the example. Can you help me to this? Thanks.
They used Miller's algorithm, which is explained in the next chapter.
(To be concrete, they used a implementation in Magma which is available in the author's website)