How to move the martix inside the page?

I have a $16 timex 16$ matrix. I want to rotate and write down it on new page. The odd and even pages are diffrent.
My atempt is below:

documentclass[12pt, reqno]{amsart}
usepackage{amsmath, amsthm, amscd, amsfonts, amssymb, graphicx, color}
usepackage{mathtools}
usepackage{rotating}
setcounter{MaxMatrixCols}{16} % default value is 10
%usepackage[margin=1in,showframe]{geometry} % 'showframe' is there to indicate page margins
usepackage[bookmarksnumbered, colorlinks, plainpages]{hyperref}

textheight 22.5truecm textwidth 14.5truecm
setlength{oddsidemargin}{0.35in}setlength{evensidemargin}{0.35in}

setlength{topmargin}{-.5cm}


begin{document}
newpage
1
newpage
begin{sidewaystable}
scriptsize
begin{align*}
begin{bmatrix}
1&x_{{n}}&x^2_n&x^3_n&x^4_n&x^5_n&x^6_n&x_n^7&x_n^8&x_n^9&x_n^{10}&x_n^{11}&x_n^{12}&x_n^{13}&x_n^{14} %noalign{medskip}
0&1&2x_n&3x_n^2&4x_n^3&5x_n^4&6x_n^5&7x_n^6&8x_n^7&9x_n^8&10x_n^9&11x_n^{10}&12x_n^{11}&13x_n^{12}&14x_n^{13}  %noalign{medskip}
0&1&2x_{n+frac {5}{74}}&3x_{n+{frac{5}{74}}}^2&4x_{n+{frac {5}{74}}}^3&5x_{n+{frac{5}{74}}}^4&6x_{n+{frac{5}{74}}}^5&7x_{n+{frac {5}{74}}}^6&8x_{n+{frac {5}{74}}}^7&9x_{n+{frac {5}{74}}}^
8&10x_{n+{frac {5}{74}}}^9&11x_{n+{frac {5}{74}}}^
{10}&12x_{n+{frac {5}{74}}}^{11}&13x_{n+{frac {5}{74}}}^
{12}&14x_{n+{frac {5}{74}}}^{13} %noalign{medskip}
0&1&2x_{n+frac{1}{4}}&3x^2_{n+frac{1}{4}}&4x^3_{n+frac{1}{4}}&5x^4_{n+frac{1}{4}}
&6,{x_{{n+1/4}}}^{6}&7,{x_{{n+1/4}}}^{6}&8,{x_{{n+1/4}}}^{7}&9,{x_
{{n+1/4}}}^{8}&10,{x_{{n+1/4}}}^{9}&11,{x_{{n+1/4}}}^{10}&12,{x_{{n
+1/4}}}^{11}&13,{x_{{n+1/4}}}^{12}&14,{x_{{n+1/4}}}^{13}
 %noalign{medskip}
0&1&2x_{n+frac{1}{2}}&3x_{{n+frac{1}{2}}}^2&4x_{{n
+frac{1}{2}}}^3&5x_{{n+frac{1}{2}}}^{4}&6x_{{n+frac{1}{2}}}^5&7x_{{n+frac{1}{2}}}
^6&8x_{n+frac{1}{2}}^7&9x_{n+frac{1}{2}}^8&10x_{n+frac{1}{2}}^9&
11x_{n+frac{1}{2}}^{10}&12x_{n+frac{1}{2}}^{11}&13x_{n+frac{1}{2}}^{12}&
14x_{{n+1/2}}^{13} noalign{medskip}0&1&2,x_{{n+3/4}}&3,{x_{{
n+3/4}}}^{2}&4,{x_{{n+3/4}}}^{3}&5,{x_{{n+3/4}}}^{4}&6,{x_{{n+3/4}}
}^{5}&7,{x_{{n+3/4}}}^{6}&8,{x_{{n+3/4}}}^{7}&9,{x_{{n+3/4}}}^{8}&
10,{x_{{n+3/4}}}^{9}&11,{x_{{n+3/4}}}^{10}&12,{x_{{n+3/4}}}^{11}&13
,{x_{{n+3/4}}}^{12}&14,{x_{{n+3/4}}}^{13} %noalign{medskip}
0&1&2
,x_{{n+{frac{69}{74}}}}&3,{x_{{n+{frac {69}{74}}}}}^{2}&4,{x_{{n
+{frac {69}{74}}}}}^{3}&5,{x_{{n+{frac {69}{74}}}}}^{3}&6,{x_{{n+{
frac {69}{74}}}}}^{5}&7,{x_{{n+{frac {69}{74}}}}}^{6}&8,{x_{{n+{
frac {69}{74}}}}}^{7}&9,{x_{{n+{frac {69}{74}}}}}^{8}&10,{x_{{n+{
frac {69}{74}}}}}^{9}&11,{x_{{n+{frac {69}{74}}}}}^{10}&12,{x_{{n+
{frac {69}{74}}}}}^{11}&13,{x_{{n+{frac {69}{74}}}}}^{12}&14,{x_{{
n+{frac {69}{74}}}}}^{13} %noalign{medskip}
0&1&2,x_{{n+1}}&3,{x_
{{n+1}}}^{2}&4,{x_{{n+1}}}^{3}&5,{x_{{n+1}}}^{4}&6,{x_{{n+1}}}^{5}&
7,{x_{{n+1}}}^{6}&8,{x_{{n+1}}}^{7}&9,{x_{{n+1}}}^{8}&10,{x_{{n+1}
}}^{9}&11,{x_{{n+1}}}^{10}&12,{x_{{n+1}}}^{11}&13,{x_{{n+1}}}^{12}&
14,{x_{{n+1}}}^{13} %noalign{medskip}
0&0&2&6,x_{{n}}&12,{x_{{n}}
}^{2}&20,{x_{{n}}}^{3}&30,{x_{{n}}}^{4}&42,{x_{{n}}}^{5}&56,{x_{{n
}}}^{6}&72,{x_{{n}}}^{7}&90,{x_{{n}}}^{8}&110,{x_{{n}}}^{9}&132,{x
_{{n}}}^{10}&156,{x_{{n}}}^{11}&182,{x_{{n}}}^{12}
 %noalign{medskip}
0&0&2&6,x_{{n+{frac {5}{74}}}}&12,{x_{{n+{
frac {5}{74}}}}}^{2}&20,{x_{{n+{frac {5}{74}}}}}^{3}&30,{x_{{n+{
frac {5}{74}}}}}^{4}&42,{x_{{n+{frac {5}{74}}}}}^{5}&56,{x_{{n+{
frac {5}{74}}}}}^{6}&72,{x_{{n+{frac {5}{74}}}}}^{7}&90,{x_{{n+{
frac {5}{74}}}}}^{8}&110,{x_{{n+{frac {5}{74}}}}}^{9}&132,{x_{{n+{
frac {5}{74}}}}}^{10}&156,{x_{{n+{frac {5}{74}}}}}^{11}&182,{x_{{n
+{frac {5}{74}}}}}^{12} %noalign{medskip}
0&0&2&6,x_{{n+1/4}}&12,
{x_{{n+1/4}}}^{2}&20,{x_{{n+1/4}}}^{3}&30,{x_{{n+1/4}}}^{4}&42,{x_{
{n+1/4}}}^{5}&56,{x_{{n+1/4}}}^{6}&72,{x_{{n+1/4}}}^{7}&90,{x_{{n+1
/4}}}^{8}&110,{x_{{n+1/4}}}^{8}&132,{x_{{n+1/4}}}^{10}&156,{x_{{n+1
/4}}}^{11}&182,{x_{{n+1/4}}}^{12} %noalign{medskip}
0&0&2&6,x_{{n+
1/2}}&12,{x_{{n+1/2}}}^{2}&20,{x_{{n+1/2}}}^{3}&30,{x_{{n+1/2}}}^{4
}&42,{x_{{n+1/2}}}^{5}&56,{x_{{n+1/2}}}^{6}&72,{x_{{n+1/2}}}^{7}&90
,{x_{{n+1/2}}}^{8}&110,{x_{{n+1/2}}}^{9}&132,{x_{{n+1/2}}}^{10}&156
,{x_{{n+1/2}}}^{11}&182,{x_{{n+1/2}}}^{12} %noalign{medskip}
0&0&2
&6,x_{{n+3/4}}&12,{x_{{n+3/4}}}^{2}&20,{x_{{n+3/4}}}^{3}&30,{x_{{n
+3/4}}}^{4}&42,{x_{{n+3/4}}}^{5}&56,{x_{{n+3/4}}}^{6}&72,{x_{{n+3/4
}}}^{7}&90,{x_{{n+3/4}}}^{8}&110,{x_{{n+3/4}}}^{9}&132,{x_{{n+3/4}}
}^{10}&156,{x_{{n+3/4}}}^{11}&182,{x_{{n+3/4}}}^{12}
 %noalign{medskip}
0&
0&
2&
6x_{n+frac{69}{74}}&
12x_{n+{frac{69}{74}}}^{2}&
20x_{n+{frac{69}{74}}}^{3}&
30x_{n+{frac{69}{74}}}^{4}&
42x_{n+{frac{69}{74}}}^{5}&
56x_{n+{frac{69}{74}}}^{6}&
72x_{n+{frac{69}{74}}}^{7}&
90x_{n+{frac{69}{74}}}^{8}&
110x_{n+{frac{69}{74}}}^{9}&
132x_{n+{frac{69}{74}}}^{10}&
156x_{n+{frac{69}{74}}}^{11}&
182x_{n+{frac {69}{74}}}^{12} %noalign{medskip}
0&0&2&6x_{n+1}&
12x_{{n+1}}^{2}&20x_{n+1}^{3}&30x_{n+1}^{4}&42x_{{n
+1}}^{5}&56x_{{n+1}}^{6}&72x_{n+1}^{7}&90x_{{n+1}}^{8}&
110x_{{n+1}}^{9}&132x_{n+1}^{10}&156x_{n+1}^{11}&182x_{{n+1}}^{12}
% end{bsmallmatrix}
end{bmatrix}
end{align*}
end{sidewaystable}

end{document}

Question. How to move the martix inside the page?