1.
If α\alpha and β\beta are roots of the equation x242kx+2e4lnk1=0x^2 - 4\sqrt{2}kx + 2e^{4\ln k} - 1 = 0 for some kk, and α2+β2=66\alpha^2 + \beta^2 = 66, then α3+β3\alpha^3 + \beta^3 is equal to