Course Solutions Uncategorized (Solved) : 4 Magma Define P Smallest Prime Greater Equal Student Id Also Congruent 1 Modulo 4 Ask Mag Q31575592 . . . .

(Solved) : 4 Magma Define P Smallest Prime Greater Equal Student Id Also Congruent 1 Modulo 4 Ask Mag Q31575592 . . . .

 

4. In MAGMA define p to be the smallest prime which is greater than or equal to your student ID and is also congruent to 1 modulo 4. Ask MAGMA to choose a primitive root b modulo p with the command b: -PrimitiveRoot (p);. Then use appropriate MAGMA commands to find a nonnegative integer less than p which is a square root of-1 modulo p. There are two such integers; you can stop once you have found one of them, except that you should then get MAGMA to check that your answer does square to something congruent to -1 modulo p.

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