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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:
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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