A binary quartic form
$aX^4+bX^3Y+cX^2Y^2+dXY^3+Y^4$$$aX^4+bX^3Y+cX^2Y^2+dXY^3+Y^4$$
decomposes as a product of linear factors $Y-t_jX$, $j=1,...,4$$j=1,\dotsc,4$. I would like to have an explicit formula for symmetrization of the crossratio of $t_j$.