History of Pisot numbers less than the golden ratio

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2026-09-20 04:31 zeta3 clarify Pisot range cutoff current
2026-09-20 02:48 zeta3 interactive describe the widened Pisot range
2026-09-20 02:48 zeta3 with codex-cli isolated Pisot roots from exact polynomials
2026-09-20 02:47 zeta3 record Coxeter relation and minimal-polynomial table
2026-09-20 01:46 zeta3 attach generator aligned with reviewed T286 comments and range guard
2026-09-17 01:52 zeta3 table-repair@1.109+64cc4f29 repair critique findings for T286 reviewed
2026-09-17 01:36 zeta3 table-build@1.130+3450381c finalized Pisot draft metadata
2026-09-17 01:36 zeta3 table-build@1.130+3450381c finalized Pisot draft metadata
2026-09-17 01:35 zeta3 table-build@1.130+3450381c isolated Pisot roots from exact polynomials
2026-09-17 01:30 zeta3 table-build@1.130+3450381c claimed Pisot numbers draft

What changed between 2026-09-20 02:48 and 2026-09-20 04:31

from line 32 (5 lines) @@ -32,5 +32,5 @@
       \ e in f.factor():\n        out += [(g, root) for root, m in g.roots(IR)\n \       \               if root.lower() > 1 and root.upper() < phi.lower()]\n    return\-      \ out[0]\npolys = [P(n) for n in range(2, 30)] + [Q(n) for n in range(2, 30)]\+      \ out[0]\npolys = [P(n) for n in range(2, 41)] + [Q(n) for n in range(2, 41)]\       \ + [E]\nsorted((pisot_root(f) for f in polys), key=lambda t: t[1].lower())[:10]" Similar tables:
from line 87 (8 lines, 1 more than before) @@ -87,7 +87,8 @@
   complete: 'no'   complete-note: it holds the root of $E$ and the roots of $P_n$ and $Q_n$ for $2\leq-    n\leq40$, which are $\theta_1$ to $\theta_{79}$; at $n=40$ the largest root is-    still more than $1.9\cdot10^{-9}$ below $\varphi$, while by $n=72$ the roots are-    within $10^{-15}$ of $\varphi$+    n\leq40$, which are $\theta_1$ to $\theta_{79}$; the cutoff keeps the largest+    root more than $1.9\cdot10^{-9}$ below the accumulation point $\varphi$, while+    by $n=72$ the roots are within $10^{-15}$ of $\varphi$ and close to the resolution+    of double-precision output   rigour details: 'The generator uses the Dufresnoy-Pisot classification as recorded     in CITE{Bertin} and CITE{McKeeSmyth}. It forms the exact integer polynomials in 

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