  We prove and conjecture several relations between multizeta values for
$\mathbb{F}_q[t]$, focusing on zeta-like values, namely those whose ratio with
the zeta value of the same weight is rational (or equivalently algebraic). In
particular, we describe them conjecturally fully for $q=2$, or more generally
for any $q$ for `even' weight (`eulerian' tuples). We provide some data in
support of the guesses.
