Laël Cellier on Fri, 04 Jul 2025 12:38:55 +0200


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How to declare a finite field element resulting from a Prime Power in Pari/ɢᴘ ?


Let’s talk first about the equivalent SageMath code : I’ve a finite field declared as ff= GF(q) where q is the prime power of degree 12.

Given a finite field element that SageMath printf as |0*z12^11 + 0*z12^10 + 16260673061341949275257563295988632869519996389676903622179081103440260644990*z12^9 + 0*z12^8 + 0*z12^7 + 0*z12^6 + 0*z12^5 + 0*z12^4 + 11559732032986387107991004021392285783925812861821192530917403151452391805634*z12^3 + 0*z12^2 + 0*z12 + 0, how to set a variable belonging to ff to such static value in Pari/ɢᴘ ? Since finite field elements in such cases are polynomes…|