  We present a complete classification of $\operatorname{SL}(n)$ contravariant,
$C(\mathbb{R}^n\setminus\{o\})$-valued valuations on polytopes, without any
additional assumptions.It extends the previous results of the second author
[Int. Math. Res. Not. 2020] which have a good connection with the $L_p$ and
Orlicz Brunn-Minkowski theory. Additionally, our results deduce a complete
classification of $\operatorname{SL}(n)$ contravariant symmetric-tensor-valued
valuations on polytopes.
