FA-15813 / Numerics / Member archive
Singular hensel root tree: lifted polynomial congruence · case 03
The exact singular hensel root tree result violates the stated contract at lifted polynomial congruence.
Case contract
Input [polynomial coefficients,p,k], p prime and k>=1; enumerate all roots modulo p^k, including singular roots.
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 | [[0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120], 125] | [[0, 25, 50, 75, 100], 125] | Failed |
MEMBER ARCHIVE
The complete case is available to members.
This record includes three runnable implementations, regression fixtures, execution results, and source hashes.
Member access is invitation-based. Sign in with your invited account to inspect the sources.
Sign in to the archive ↗