FA-15495 / Numerics / Member archive
Hensel simple root lift: lifting exponent count · case 05
The exact hensel simple root lift result violates the stated contract at lifting exponent count.
Case contract
Input [coefficients,p,r,k], p prime, r root mod p with nonzero derivative, k>=1; return unique root mod p^k congruent r mod p.
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 | [34967, 117649] | [1353, 16807] | Failed |
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