History of Minimal polynomials of the Salem numbers less than 1.3

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2026-09-17 12:51 zeta3 table-repair@2.0+dc0f96a0 keep Salem definition concise after audit current reviewed
2026-09-17 12:50 zeta3 table-repair@2.0+dc0f96a0 define Salem polynomial index and cite completeness
2026-09-17 12:38 zeta3 table-build@2.0+395f185d shorten definition and move root-table link
2026-09-17 12:37 zeta3 with Codex CLI table-build@2.0+395f185d computed Salem minimal polynomials from half-lists
2026-09-17 12:34 zeta3 table-build@2.0+395f185d claim Salem minimal polynomial table

What changed between 2026-09-17 12:50 and 2026-09-17 12:51

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 Title: Minimal polynomials of the Salem numbers less than 1.3-Definition: A HREF{Salem_numbers_less_than_1_3}[Salem number] is an algebraic integer-  $\tau>1$ whose other conjugates have absolute value at most $1$, with at least one-  on the unit circle CITE{Wiki}. The table stores the minimal polynomial $m_a(x)\in\mathbb{Z}[x]$-  of the Salem numbers $\tau<1.3$ listed here. This polynomial is monic and reciprocal-  of even degree $d$, so it is determined by the coefficients $a=(a_0,\ldots,a_{d/2})$-  of $x^d,\ldots,x^{d/2}$, which index the rows.+Definition: A Salem number is an algebraic integer $\tau>1$ whose other conjugates+  have absolute value at most $1$, with at least one on the unit circle CITE{Wiki}.+  The table stores the minimal polynomial $m_a(x)\in\mathbb{Z}[x]$ of the Salem numbers+  $\tau<1.3$ listed here. Parameters:   coefficients:
from line 13 (8 lines, 2 more than before) @@ -15,6 +13,8 @@
 Comments:   comment-order: Rows are ordered by increasing Salem root $\tau$. The coefficient-    tuple $a$ is the same index used in HREF{Salem_numbers_less_than_1_3}[Salem numbers-    less than $1.3$], where the corresponding root $\tau$ is given to $100$ digits.+    tuple $a=(a_0,\ldots,a_{d/2})$ gives the coefficients of $x^d,\ldots,x^{d/2}$+    in the monic reciprocal polynomial, as in Formula CITE{formula-reciprocal}. The+    same tuple indexes the corresponding root in HREF{Salem_numbers_less_than_1_3}[Salem+    numbers less than $1.3$], where $\tau$ is given to $100$ digits. Formulas:   formula-reciprocal: For coefficients $a_0,a_1,\ldots,a_{d/2}$, the polynomial is 

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