Task $2$:

a$.$ Construct a finite field GF $(31)$ and show that addition of elements

produces results in the same field.

b$.$ Show that multiplication of elements produces results in the same field.

c$.$ Find out the additive inverse of the all the elements.

d$.$ Find out the multiplicative inverse of all the elements.

c$.$ Implement additive and multiplicative inverse algorithms in any

programming language $($I recommend using Python$).$