The notation developed in this chapter was a little hard to piece together, though it seems rather powerful. I didn't quite get how to do the calculations for the Legendre symbol, but I'm sure it'll come with practice. The properties of the symbol don't quite make sense to me, to be honest.
This was an interesting example of how powerful notation can be. These symbols don't just appear; they were invented by Legendre and Jacobi, yet they have far reaching theoretical effects. It's interesting to me to see how such little things can do so much in the world of mathematics.
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