2723.sagews

T0(x)=1
p0=plot(T0(x), -5, 5)
(p0).show(ymax = 5, ymin = -5)
show(expand(T0(x)))

T1(x)=x
p1=plot(T1(x), -5, 5)
(p1).show(ymax = 5, ymin = -5)
show(expand(T1(x)))

T2(x)=((2*x)*(T1(x))-T0(x))
p2=plot(T2(x), -5, 5)
(p2).show(ymax = 5, ymin = -5)
show(expand(T2(x)))

T3(x)=((2*x)*(T2(x))-T1(x))
p3=plot(T3(x), -5, 5)
(p3).show(ymax = 5, ymin = -5)
show(expand(T3(x)))

T4(x)=(2*x)*(T3(x))-T2(x)
p4=plot(T4(x), -5, 5)
(p4).show(ymax = 5, ymin = -5) 
show(expand(T4(x)))

T5(x)=(2*x)*(T4(x))-T3(x)
p5=plot(T5(x), -5, 5)
(p5).show(ymax = 5, ymin = -5) 
show(expand(T5(x)))

T6(x)=(2*x)*(T5(x))-T4(x)
p6=plot(T6(x), -5, 5)
(p6).show(ymax = 5, ymin = -5) 
show(expand(T6(x)))

T7(x)=(2*x)*(T6(x))-T5(x)
p7=plot(T7(x), -5, 5)
(p7).show(ymax = 5, ymin = -5) 
show(expand(T7(x)))

T8(x)=(2*x)*(T7(x))-T6(x)
p8=plot(T8(x), -5, 5)
(p8).show(ymax = 5, ymin = -5) 
show(expand(T8(x)))

T9(x)=(2*x)*(T8(x))-T7(x)
p9=plot(T9(x), -5, 5)
(p9).show(ymax = 5, ymin = -5) 
show(expand(T9(x)))

T10(x)=(2*x)*(T9(x))-T8(x)
p10=plot(T10(x), -5, 5)
(p10).show(ymax = 5, ymin = -5) 
show(expand(T10(x)))

T11(x)=(2*x)*(T10(x))-T9(x)
p11=plot(T11(x), -5, 5)
(p11).show(ymax = 5, ymin = -5) 
show(expand(T11(x)))

T12(x)=(2*x)*(T11(x))-T10(x)
p12=plot(T12(x), -5, 5)
(p12).show(ymax = 5, ymin = -5) 
show(expand(T12(x)))

T13(x)=(2*x)*(T12(x))-T11(x)
p13=plot(T13(x), -5, 5)
(p13).show(ymax = 5, ymin = -5) 
show(expand(T13(x)))

T14(x)=(2*x)*(T13(x))-T12(x)
p14=plot(T14(x), -5, 5)
(p14).show(ymax = 5, ymin = -5) 
show(expand(T14(x)))

T15(x)=(2*x)*(T14(x))-T13(x)
p15=plot(T15(x), -5, 5)
(p15).show(ymax = 5, ymin = -5) 
show(expand(T15(x)))

T16(x)=(2*x)*(T15(x))-T14(x)
p16=plot(T16(x), -5, 5)
(p16).show(ymax = 5, ymin = -5) 
show(expand(T16(x)))

T17(x)=(2*x)*(T16(x))-T15(x)
p17=plot(T17(x), -5, 5)
(p17).show(ymax = 5, ymin = -5) 
show(expand(T17(x)))

T18(x)=(2*x)*(T17(x))-T16(x)
p18=plot(T18(x), -5, 5)
(p18).show(ymax = 5, ymin = -5) 
show(expand(T18(x)))

T19(x)=(2*x)*(T18(x))-T17(x)
p19=plot(T19(x), -5, 5)
(p19).show(ymax = 5, ymin = -5) 
show(expand(T19(x)))

T20(x)=(2*x)*(T19(x))-T18(x)
p20=plot(T20(x), -5, 5)
(p20).show(ymax = 5, ymin = -5)
show(expand(T20(x)))

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\newcommand{\Bold}[1]{\mathbf{#1}}2 \, x^{2} - 1

\newcommand{\Bold}[1]{\mathbf{#1}}4 \, x^{3} - 3 \, x

\newcommand{\Bold}[1]{\mathbf{#1}}8 \, x^{4} - 8 \, x^{2} + 1

\newcommand{\Bold}[1]{\mathbf{#1}}16 \, x^{5} - 20 \, x^{3} + 5 \, x

\newcommand{\Bold}[1]{\mathbf{#1}}32 \, x^{6} - 48 \, x^{4} + 18 \, x^{2} - 1

\newcommand{\Bold}[1]{\mathbf{#1}}64 \, x^{7} - 112 \, x^{5} + 56 \, x^{3} - 7 \, x

\newcommand{\Bold}[1]{\mathbf{#1}}128 \, x^{8} - 256 \, x^{6} + 160 \, x^{4} - 32 \, x^{2} + 1

\newcommand{\Bold}[1]{\mathbf{#1}}256 \, x^{9} - 576 \, x^{7} + 432 \, x^{5} - 120 \, x^{3} + 9 \, x

\newcommand{\Bold}[1]{\mathbf{#1}}512 \, x^{10} - 1280 \, x^{8} + 1120 \, x^{6} - 400 \, x^{4} + 50 \, x^{2} - 1

\newcommand{\Bold}[1]{\mathbf{#1}}1024 \, x^{11} - 2816 \, x^{9} + 2816 \, x^{7} - 1232 \, x^{5} + 220 \, x^{3} - 11 \, x

\newcommand{\Bold}[1]{\mathbf{#1}}2048 \, x^{12} - 6144 \, x^{10} + 6912 \, x^{8} - 3584 \, x^{6} + 840 \, x^{4} - 72 \, x^{2} + 1

\newcommand{\Bold}[1]{\mathbf{#1}}4096 \, x^{13} - 13312 \, x^{11} + 16640 \, x^{9} - 9984 \, x^{7} + 2912 \, x^{5} - 364 \, x^{3} + 13 \, x

\newcommand{\Bold}[1]{\mathbf{#1}}8192 \, x^{14} - 28672 \, x^{12} + 39424 \, x^{10} - 26880 \, x^{8} + 9408 \, x^{6} - 1568 \, x^{4} + 98 \, x^{2} - 1

\newcommand{\Bold}[1]{\mathbf{#1}}16384 \, x^{15} - 61440 \, x^{13} + 92160 \, x^{11} - 70400 \, x^{9} + 28800 \, x^{7} - 6048 \, x^{5} + 560 \, x^{3} - 15 \, x

\newcommand{\Bold}[1]{\mathbf{#1}}32768 \, x^{16} - 131072 \, x^{14} + 212992 \, x^{12} - 180224 \, x^{10} + 84480 \, x^{8} - 21504 \, x^{6} + 2688 \, x^{4} - 128 \, x^{2} + 1

\newcommand{\Bold}[1]{\mathbf{#1}}65536 \, x^{17} - 278528 \, x^{15} + 487424 \, x^{13} - 452608 \, x^{11} + 239360 \, x^{9} - 71808 \, x^{7} + 11424 \, x^{5} - 816 \, x^{3} + 17 \, x

\newcommand{\Bold}[1]{\mathbf{#1}}131072 \, x^{18} - 589824 \, x^{16} + 1105920 \, x^{14} - 1118208 \, x^{12} + 658944 \, x^{10} - 228096 \, x^{8} + 44352 \, x^{6} - 4320 \, x^{4} + 162 \, x^{2} - 1

\newcommand{\Bold}[1]{\mathbf{#1}}262144 \, x^{19} - 1245184 \, x^{17} + 2490368 \, x^{15} - 2723840 \, x^{13} + 1770496 \, x^{11} - 695552 \, x^{9} + 160512 \, x^{7} - 20064 \, x^{5} + 1140 \, x^{3} - 19 \, x

\newcommand{\Bold}[1]{\mathbf{#1}}524288 \, x^{20} - 2621440 \, x^{18} + 5570560 \, x^{16} - 6553600 \, x^{14} + 4659200 \, x^{12} - 2050048 \, x^{10} + 549120 \, x^{8} - 84480 \, x^{6} + 6600 \, x^{4} - 200 \, x^{2} + 1