For the following question, enter the correct numerical value up to TWO decimal places.
(If the numerical value has more than two decimal places, round-off the value to TWO decimal places.)
If \(\alpha,\beta \in \mathbb{C}\) are the distinct roots of the equation
\(x^2-x+1=0\), then the value of \(\alpha^{101}+\beta^{107}\) is ____