Make Latex table of polynomial coefficients

make_poly_table.py

from jutility import util

def main():
    p = util.Printer("poly_table", file_ext="tex", print_to_console=False)

    b_deg = 5
    a_deg = 7

    p("\\documentclass{article}")
    p("\\usepackage{subcaption}")
    p("\\pagestyle{empty}")
    p("\\begin{document}")
    p("\\begin{table}")
    p("\\centering")
    p("\\begin{tabular}{c|%s}" % " ".join(["c"] * (b_deg + 1)))

    headers = [""] + ["$b_%i t^%i$" % (i, i) for i in range(b_deg + 1)]
    p(format_table_row(headers), "\\\\")
    p("\\hline")
    for j in range(a_deg + 1):
        row_prefix = "$a_%i t^%i$" % (j, j)
        row = ["$a_%i b_%i t^{%i}$" % (j, i, i+j) for i in range(b_deg + 1)]
        p(format_table_row([row_prefix] + row), "\\\\")

    p("\\end{tabular}")
    p("\\label{table:animals}")
    p("\\end{table}")
    p("\\end{document}")

def format_table_row(entries, width=20, sep=" & "):
    row_str = sep.join(str(i).ljust(width) for i in entries)
    return row_str

if __name__ == "__main__":
    main()

poly_table.png

poly_table.tex

\documentclass{article}
\usepackage{subcaption}
\pagestyle{empty}
\begin{document}
\begin{table}
\centering
\begin{tabular}{c|c c c c c c}
                     & $b_0 t^0$            & $b_1 t^1$            & $b_2 t^2$            & $b_3 t^3$            & $b_4 t^4$            & $b_5 t^5$            \\
\hline
$a_0 t^0$            & $a_0 b_0 t^{0}$      & $a_0 b_1 t^{1}$      & $a_0 b_2 t^{2}$      & $a_0 b_3 t^{3}$      & $a_0 b_4 t^{4}$      & $a_0 b_5 t^{5}$      \\
$a_1 t^1$            & $a_1 b_0 t^{1}$      & $a_1 b_1 t^{2}$      & $a_1 b_2 t^{3}$      & $a_1 b_3 t^{4}$      & $a_1 b_4 t^{5}$      & $a_1 b_5 t^{6}$      \\
$a_2 t^2$            & $a_2 b_0 t^{2}$      & $a_2 b_1 t^{3}$      & $a_2 b_2 t^{4}$      & $a_2 b_3 t^{5}$      & $a_2 b_4 t^{6}$      & $a_2 b_5 t^{7}$      \\
$a_3 t^3$            & $a_3 b_0 t^{3}$      & $a_3 b_1 t^{4}$      & $a_3 b_2 t^{5}$      & $a_3 b_3 t^{6}$      & $a_3 b_4 t^{7}$      & $a_3 b_5 t^{8}$      \\
$a_4 t^4$            & $a_4 b_0 t^{4}$      & $a_4 b_1 t^{5}$      & $a_4 b_2 t^{6}$      & $a_4 b_3 t^{7}$      & $a_4 b_4 t^{8}$      & $a_4 b_5 t^{9}$      \\
$a_5 t^5$            & $a_5 b_0 t^{5}$      & $a_5 b_1 t^{6}$      & $a_5 b_2 t^{7}$      & $a_5 b_3 t^{8}$      & $a_5 b_4 t^{9}$      & $a_5 b_5 t^{10}$     \\
$a_6 t^6$            & $a_6 b_0 t^{6}$      & $a_6 b_1 t^{7}$      & $a_6 b_2 t^{8}$      & $a_6 b_3 t^{9}$      & $a_6 b_4 t^{10}$     & $a_6 b_5 t^{11}$     \\
$a_7 t^7$            & $a_7 b_0 t^{7}$      & $a_7 b_1 t^{8}$      & $a_7 b_2 t^{9}$      & $a_7 b_3 t^{10}$     & $a_7 b_4 t^{11}$     & $a_7 b_5 t^{12}$     \\
\end{tabular}
\label{table:animals}
\end{table}
\end{document}

run.sh

python make_poly_table.py
cd Results
pdflatex poly_table.tex
pdfcrop --margins 10 poly_table.pdf poly_table_crop.pdf
gs -dSAFER -dBATCH -dNOPAUSE -sDEVICE=png16m -r2000 -sOutputFile="../poly_table.png" poly_table_crop.pdf
mv poly_table.tex ../poly_table.tex
cd ..
rm -rf ./Results *.aux *.fdb_latexmk *.fls *.log *.pdf *.synctex.gz