If x^2+x+1=0, then the value of (x+1/x)^4+(x^2+1/x^2)^4+(x^3+1/x^3)^4+…+(x^25+1/(x^25))^4 is:

If $\displaystyle x^2+x+1=0$, then the value of $\displaystyle \left(x+\frac{1}{x}\right)^4+\left(x^2+\frac{1}{x^2}\right)^4+\left(x^3+\frac{1}{x^3}\right)^4+\ldots+\left(x^{25}+\frac{1}{x^{25}}\right)^4$ is :