Server-side shared secret used redp1(x_gamma) which is the hash-to-curve
blinding function, but verification needs lift_x(x_gamma) — the raw
validator public key point. Also fixed prime_mod_sqrt for p ≡ 5 (mod 8)
using Atkin's algorithm instead of Tonelli-Shanks.
Removed unused password parameter from server_authenticate.
Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>