FA-14854 / Numerics / Member archive
Jacobi symbol: quadratic reciprocity · case 04
The exact jacobi symbol result violates the stated contract at quadratic reciprocity.
Case contract
Input [a,n], positive odd n; return Jacobi symbol in {-1,0,1}. Bounds: |a|<=100 and odd n<=99.
Why this case matters
Exact discrete arithmetic with observable algorithmic state; no floating point approximation is used.
One recorded failure
Sample boundary fixtureThis sample comes from the broken implementation of a controlled reproducer.
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| explicit oracle 0 | 1 | -1 | Failed |
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