Find all complex solutions to the equation z^8 + 16 = 17z^4 - 8z^6 - 8z^2.
The solutions are 1 + 2i, 1 - 2i, -1 + 2i, -1 - 2i, 2 + sqrt(2) i, 2 - sqrt(2) i, sqrt(2) + 2i, and sqrt(2) - 2i.
+1766 
