| $7/64$ | [KRS2003] | Derived from the uniform bound $\lambda_1(\Gamma)\ge 975/4096$. [KRS2003-975-4096] |exact pinned row| $7/64$ | <a href="#KRS2003">[KRS2003]</a> | Derived from the uniform bound $\lambda_1(\Gamma)\ge 975/4096$. <a href="#KRS2003-975-4096">[KRS2003-975-4096]</a> |tracked since 2026-07-24 — no movement seen yet
Lower bound, last-listed row
| $0$ | | Trivial from the definition $C_{61}\ge 0$. |tracked since 2026-07-24 — no movement seen yet
Cite this rowBounds Ledger — Selberg congruence spectral-gap constant (61a)
upper bound: $7/64$ (tracked since 2026-07-24 — no movement seen yet)
lower bound: $0$ (tracked since 2026-07-24 — no movement seen yet)
Mirrored from teorth/optimizationproblems@2c1968c. These are the last-listed rows of that constant's bounds table — a listing position, not a statement that this bound is the strongest or most recent. A snapshot at that sha, not a live read.
https://u00dxk2.github.io/bounds-ledger/c/61a.html