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Polynomial squarefree characteristic p: euclidean divisor transfer · case 03

The exact polynomial squarefree characteristic p result violates the stated contract at euclidean divisor transfer.

Member previewVariant 3 · 3 implementations · 8 checks per implementation

Case contract

Input [coefficients,p] prime p; return whether nonconstant polynomial over Fp has gcd(f,fprime)=1; constants false. Bounds: degree at most three and prime p<=7.

Why this case matters

Exact discrete arithmetic with observable algorithmic state; no floating point approximation is used.

One recorded failure

Sample boundary fixture

This sample comes from the broken implementation of a controlled reproducer.

Boundary fixture	Actual	Expected	Outcome
explicit oracle 0	`false`	`true`	Failed

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