Factorizar el polinomio x^6-x^60

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                  |    1   I*\/ 3 | |    1   I*\/ 3 | |      1   I*\/ 3 | |      1   I*\/ 3 | /       /pi\        /pi\\ /       /pi\        /pi\\ /         /pi\      /pi\\ /           /pi\      /pi\\ /       /2*pi\        /2*pi\\ /       /2*pi\        /2*pi\\ /         /2*pi\      /2*pi\\ /           /2*pi\      /2*pi\\ /       /pi\        /pi\\ /       /pi\        /pi\\ /         /pi\      /pi\\ /           /pi\      /pi\\ /       /4*pi\        /4*pi\\ /       /4*pi\        /4*pi\\ /         /4*pi\      /4*pi\\ /           /4*pi\      /4*pi\\ /       /5*pi\        /5*pi\\ /       /5*pi\        /5*pi\\ /         /5*pi\      /5*pi\\ /           /5*pi\      /5*pi\\ /       /2*pi\        /2*pi\\ /       /2*pi\        /2*pi\\ /         /2*pi\      /2*pi\\ /           /2*pi\      /2*pi\\ /       /7*pi\        /7*pi\\ /       /7*pi\        /7*pi\\ /         /7*pi\      /7*pi\\ /           /7*pi\      /7*pi\\ /       /8*pi\        /8*pi\\ /       /8*pi\        /8*pi\\ /         /8*pi\      /8*pi\\ /           /8*pi\      /8*pi\\ /       /10*pi\        /10*pi\\ /       /10*pi\        /10*pi\\ /         /10*pi\      /10*pi\\ /           /10*pi\      /10*pi\\ /       /11*pi\        /11*pi\\ /       /11*pi\        /11*pi\\ /         /11*pi\      /11*pi\\ /           /11*pi\      /11*pi\\ /       /4*pi\        /4*pi\\ /       /4*pi\        /4*pi\\ /         /4*pi\      /4*pi\\ /           /4*pi\      /4*pi\\ /       /13*pi\        /13*pi\\ /       /13*pi\        /13*pi\\ /         /13*pi\      /13*pi\\ /           /13*pi\      /13*pi\\
(x + 1)*x*(x - 1)*|x + - + -------|*|x + - - -------|*|x + - - + -------|*|x + - - - -------|*|x + cos|--| + I*sin|--||*|x + cos|--| - I*sin|--||*|x + I*sin|--| - cos|--||*|x + - I*sin|--| - cos|--||*|x + cos|----| + I*sin|----||*|x + cos|----| - I*sin|----||*|x + I*sin|----| - cos|----||*|x + - I*sin|----| - cos|----||*|x + cos|--| + I*sin|--||*|x + cos|--| - I*sin|--||*|x + I*sin|--| - cos|--||*|x + - I*sin|--| - cos|--||*|x + cos|----| + I*sin|----||*|x + cos|----| - I*sin|----||*|x + I*sin|----| - cos|----||*|x + - I*sin|----| - cos|----||*|x + cos|----| + I*sin|----||*|x + cos|----| - I*sin|----||*|x + I*sin|----| - cos|----||*|x + - I*sin|----| - cos|----||*|x + cos|----| + I*sin|----||*|x + cos|----| - I*sin|----||*|x + I*sin|----| - cos|----||*|x + - I*sin|----| - cos|----||*|x + cos|----| + I*sin|----||*|x + cos|----| - I*sin|----||*|x + I*sin|----| - cos|----||*|x + - I*sin|----| - cos|----||*|x + cos|----| + I*sin|----||*|x + cos|----| - I*sin|----||*|x + I*sin|----| - cos|----||*|x + - I*sin|----| - cos|----||*|x + cos|-----| + I*sin|-----||*|x + cos|-----| - I*sin|-----||*|x + I*sin|-----| - cos|-----||*|x + - I*sin|-----| - cos|-----||*|x + cos|-----| + I*sin|-----||*|x + cos|-----| - I*sin|-----||*|x + I*sin|-----| - cos|-----||*|x + - I*sin|-----| - cos|-----||*|x + cos|----| + I*sin|----||*|x + cos|----| - I*sin|----||*|x + I*sin|----| - cos|----||*|x + - I*sin|----| - cos|----||*|x + cos|-----| + I*sin|-----||*|x + cos|-----| - I*sin|-----||*|x + I*sin|-----| - cos|-----||*|x + - I*sin|-----| - cos|-----||
                  \    2      2   / \    2      2   / \      2      2   / \      2      2   / \       \27/        \27// \       \27/        \27// \         \27/      \27// \           \27/      \27// \       \ 27 /        \ 27 // \       \ 27 /        \ 27 // \         \ 27 /      \ 27 // \           \ 27 /      \ 27 // \       \9 /        \9 // \       \9 /        \9 // \         \9 /      \9 // \           \9 /      \9 // \       \ 27 /        \ 27 // \       \ 27 /        \ 27 // \         \ 27 /      \ 27 // \           \ 27 /      \ 27 // \       \ 27 /        \ 27 // \       \ 27 /        \ 27 // \         \ 27 /      \ 27 // \           \ 27 /      \ 27 // \       \ 9  /        \ 9  // \       \ 9  /        \ 9  // \         \ 9  /      \ 9  // \           \ 9  /      \ 9  // \       \ 27 /        \ 27 // \       \ 27 /        \ 27 // \         \ 27 /      \ 27 // \           \ 27 /      \ 27 // \       \ 27 /        \ 27 // \       \ 27 /        \ 27 // \         \ 27 /      \ 27 // \           \ 27 /      \ 27 // \       \  27 /        \  27 // \       \  27 /        \  27 // \         \  27 /      \  27 // \           \  27 /      \  27 // \       \  27 /        \  27 // \       \  27 /        \  27 // \         \  27 /      \  27 // \           \  27 /      \  27 // \       \ 9  /        \ 9  // \       \ 9  /        \ 9  // \         \ 9  /      \ 9  // \           \ 9  /      \ 9  // \       \  27 /        \  27 // \       \  27 /        \  27 // \         \  27 /      \  27 // \           \  27 /      \  27 //

$$x \left(x + 1\right) \left(x - 1\right) \left(x + \left(\frac{1}{2} + \frac{\sqrt{3} i}{2}\right)\right) \left(x + \left(\frac{1}{2} - \frac{\sqrt{3} i}{2}\right)\right) \left(x + \left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right)\right) \left(x + \left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right)\right) \left(x + \left(\cos{\left(\frac{\pi}{27} \right)} + i \sin{\left(\frac{\pi}{27} \right)}\right)\right) \left(x + \left(\cos{\left(\frac{\pi}{27} \right)} - i \sin{\left(\frac{\pi}{27} \right)}\right)\right) \left(x + \left(- \cos{\left(\frac{\pi}{27} \right)} + i \sin{\left(\frac{\pi}{27} \right)}\right)\right) \left(x + \left(- \cos{\left(\frac{\pi}{27} \right)} - i \sin{\left(\frac{\pi}{27} \right)}\right)\right) \left(x + \left(\cos{\left(\frac{2 \pi}{27} \right)} + i \sin{\left(\frac{2 \pi}{27} \right)}\right)\right) \left(x + \left(\cos{\left(\frac{2 \pi}{27} \right)} - i \sin{\left(\frac{2 \pi}{27} \right)}\right)\right) \left(x + \left(- \cos{\left(\frac{2 \pi}{27} \right)} + i \sin{\left(\frac{2 \pi}{27} \right)}\right)\right) \left(x + \left(- \cos{\left(\frac{2 \pi}{27} \right)} - i \sin{\left(\frac{2 \pi}{27} \right)}\right)\right) \left(x + \left(\cos{\left(\frac{\pi}{9} \right)} + i \sin{\left(\frac{\pi}{9} \right)}\right)\right) \left(x + \left(\cos{\left(\frac{\pi}{9} \right)} - i \sin{\left(\frac{\pi}{9} \right)}\right)\right) \left(x + \left(- \cos{\left(\frac{\pi}{9} \right)} + i \sin{\left(\frac{\pi}{9} \right)}\right)\right) \left(x + \left(- \cos{\left(\frac{\pi}{9} \right)} - i \sin{\left(\frac{\pi}{9} \right)}\right)\right) \left(x + \left(\cos{\left(\frac{4 \pi}{27} \right)} + i \sin{\left(\frac{4 \pi}{27} \right)}\right)\right) \left(x + \left(\cos{\left(\frac{4 \pi}{27} \right)} - i \sin{\left(\frac{4 \pi}{27} \right)}\right)\right) \left(x + \left(- \cos{\left(\frac{4 \pi}{27} \right)} + i \sin{\left(\frac{4 \pi}{27} \right)}\right)\right) \left(x + \left(- \cos{\left(\frac{4 \pi}{27} \right)} - i \sin{\left(\frac{4 \pi}{27} \right)}\right)\right) \left(x + \left(\cos{\left(\frac{5 \pi}{27} \right)} + i \sin{\left(\frac{5 \pi}{27} \right)}\right)\right) \left(x + \left(\cos{\left(\frac{5 \pi}{27} \right)} - i \sin{\left(\frac{5 \pi}{27} \right)}\right)\right) \left(x + \left(- \cos{\left(\frac{5 \pi}{27} \right)} + i \sin{\left(\frac{5 \pi}{27} \right)}\right)\right) \left(x + \left(- \cos{\left(\frac{5 \pi}{27} \right)} - i \sin{\left(\frac{5 \pi}{27} \right)}\right)\right) \left(x + \left(\cos{\left(\frac{2 \pi}{9} \right)} + i \sin{\left(\frac{2 \pi}{9} \right)}\right)\right) \left(x + \left(\cos{\left(\frac{2 \pi}{9} \right)} - i \sin{\left(\frac{2 \pi}{9} \right)}\right)\right) \left(x + \left(- \cos{\left(\frac{2 \pi}{9} \right)} + i \sin{\left(\frac{2 \pi}{9} \right)}\right)\right) \left(x + \left(- \cos{\left(\frac{2 \pi}{9} \right)} - i \sin{\left(\frac{2 \pi}{9} \right)}\right)\right) \left(x + \left(\cos{\left(\frac{7 \pi}{27} \right)} + i \sin{\left(\frac{7 \pi}{27} \right)}\right)\right) \left(x + \left(\cos{\left(\frac{7 \pi}{27} \right)} - i \sin{\left(\frac{7 \pi}{27} \right)}\right)\right) \left(x + \left(- \cos{\left(\frac{7 \pi}{27} \right)} + i \sin{\left(\frac{7 \pi}{27} \right)}\right)\right) \left(x + \left(- \cos{\left(\frac{7 \pi}{27} \right)} - i \sin{\left(\frac{7 \pi}{27} \right)}\right)\right) \left(x + \left(\cos{\left(\frac{8 \pi}{27} \right)} + i \sin{\left(\frac{8 \pi}{27} \right)}\right)\right) \left(x + \left(\cos{\left(\frac{8 \pi}{27} \right)} - i \sin{\left(\frac{8 \pi}{27} \right)}\right)\right) \left(x + \left(- \cos{\left(\frac{8 \pi}{27} \right)} + i \sin{\left(\frac{8 \pi}{27} \right)}\right)\right) \left(x + \left(- \cos{\left(\frac{8 \pi}{27} \right)} - i \sin{\left(\frac{8 \pi}{27} \right)}\right)\right) \left(x + \left(\cos{\left(\frac{10 \pi}{27} \right)} + i \sin{\left(\frac{10 \pi}{27} \right)}\right)\right) \left(x + \left(\cos{\left(\frac{10 \pi}{27} \right)} - i \sin{\left(\frac{10 \pi}{27} \right)}\right)\right) \left(x + \left(- \cos{\left(\frac{10 \pi}{27} \right)} + i \sin{\left(\frac{10 \pi}{27} \right)}\right)\right) \left(x + \left(- \cos{\left(\frac{10 \pi}{27} \right)} - i \sin{\left(\frac{10 \pi}{27} \right)}\right)\right) \left(x + \left(\cos{\left(\frac{11 \pi}{27} \right)} + i \sin{\left(\frac{11 \pi}{27} \right)}\right)\right) \left(x + \left(\cos{\left(\frac{11 \pi}{27} \right)} - i \sin{\left(\frac{11 \pi}{27} \right)}\right)\right) \left(x + \left(- \cos{\left(\frac{11 \pi}{27} \right)} + i \sin{\left(\frac{11 \pi}{27} \right)}\right)\right) \left(x + \left(- \cos{\left(\frac{11 \pi}{27} \right)} - i \sin{\left(\frac{11 \pi}{27} \right)}\right)\right) \left(x + \left(\cos{\left(\frac{4 \pi}{9} \right)} + i \sin{\left(\frac{4 \pi}{9} \right)}\right)\right) \left(x + \left(\cos{\left(\frac{4 \pi}{9} \right)} - i \sin{\left(\frac{4 \pi}{9} \right)}\right)\right) \left(x + \left(- \cos{\left(\frac{4 \pi}{9} \right)} + i \sin{\left(\frac{4 \pi}{9} \right)}\right)\right) \left(x + \left(- \cos{\left(\frac{4 \pi}{9} \right)} - i \sin{\left(\frac{4 \pi}{9} \right)}\right)\right) \left(x + \left(\cos{\left(\frac{13 \pi}{27} \right)} + i \sin{\left(\frac{13 \pi}{27} \right)}\right)\right) \left(x + \left(\cos{\left(\frac{13 \pi}{27} \right)} - i \sin{\left(\frac{13 \pi}{27} \right)}\right)\right) \left(x + \left(- \cos{\left(\frac{13 \pi}{27} \right)} + i \sin{\left(\frac{13 \pi}{27} \right)}\right)\right) \left(x + \left(- \cos{\left(\frac{13 \pi}{27} \right)} - i \sin{\left(\frac{13 \pi}{27} \right)}\right)\right)$$

((((((((((((((((((((((((((((((((((((((((((((((((((((((x + 1)*x)*(x - 1))*(x + 1/2 + i*sqrt(3)/2))*(x + 1/2 - i*sqrt(3)/2))*(x - 1/2 + i*sqrt(3)/2))*(x - 1/2 - i*sqrt(3)/2))*(x + cos(pi/27) + i*sin(pi/27)))*(x + cos(pi/27) - i*sin(pi/27)))*(x + i*sin(pi/27) - cos(pi/27)))*(x - i*sin(pi/27) - cos(pi/27)))*(x + cos(2*pi/27) + i*sin(2*pi/27)))*(x + cos(2*pi/27) - i*sin(2*pi/27)))*(x + i*sin(2*pi/27) - cos(2*pi/27)))*(x - i*sin(2*pi/27) - cos(2*pi/27)))*(x + cos(pi/9) + i*sin(pi/9)))*(x + cos(pi/9) - i*sin(pi/9)))*(x + i*sin(pi/9) - cos(pi/9)))*(x - i*sin(pi/9) - cos(pi/9)))*(x + cos(4*pi/27) + i*sin(4*pi/27)))*(x + cos(4*pi/27) - i*sin(4*pi/27)))*(x + i*sin(4*pi/27) - cos(4*pi/27)))*(x - i*sin(4*pi/27) - cos(4*pi/27)))*(x + cos(5*pi/27) + i*sin(5*pi/27)))*(x + cos(5*pi/27) - i*sin(5*pi/27)))*(x + i*sin(5*pi/27) - cos(5*pi/27)))*(x - i*sin(5*pi/27) - cos(5*pi/27)))*(x + cos(2*pi/9) + i*sin(2*pi/9)))*(x + cos(2*pi/9) - i*sin(2*pi/9)))*(x + i*sin(2*pi/9) - cos(2*pi/9)))*(x - i*sin(2*pi/9) - cos(2*pi/9)))*(x + cos(7*pi/27) + i*sin(7*pi/27)))*(x + cos(7*pi/27) - i*sin(7*pi/27)))*(x + i*sin(7*pi/27) - cos(7*pi/27)))*(x - i*sin(7*pi/27) - cos(7*pi/27)))*(x + cos(8*pi/27) + i*sin(8*pi/27)))*(x + cos(8*pi/27) - i*sin(8*pi/27)))*(x + i*sin(8*pi/27) - cos(8*pi/27)))*(x - i*sin(8*pi/27) - cos(8*pi/27)))*(x + cos(10*pi/27) + i*sin(10*pi/27)))*(x + cos(10*pi/27) - i*sin(10*pi/27)))*(x + i*sin(10*pi/27) - cos(10*pi/27)))*(x - i*sin(10*pi/27) - cos(10*pi/27)))*(x + cos(11*pi/27) + i*sin(11*pi/27)))*(x + cos(11*pi/27) - i*sin(11*pi/27)))*(x + i*sin(11*pi/27) - cos(11*pi/27)))*(x - i*sin(11*pi/27) - cos(11*pi/27)))*(x + cos(4*pi/9) + i*sin(4*pi/9)))*(x + cos(4*pi/9) - i*sin(4*pi/9)))*(x + i*sin(4*pi/9) - cos(4*pi/9)))*(x - i*sin(4*pi/9) - cos(4*pi/9)))*(x + cos(13*pi/27) + i*sin(13*pi/27)))*(x + cos(13*pi/27) - i*sin(13*pi/27)))*(x + i*sin(13*pi/27) - cos(13*pi/27)))*(x - i*sin(13*pi/27) - cos(13*pi/27))