For each integer
n, let
$
\mathcal{S}_n
$
\mathcal{S}_n
be the set of all class number quotients
h(
K)/
h(
K) for number fields
K and
K of degree
n with the same zeta-function. In this note we will give some explicit results on the finite sets
$
\mathcal{S}_n
$
\mathcal{S}_n
, for small
n. For example, for every
x ∈
$
\mathcal{S}_n
$
\mathcal{S}_n
with
n ≤ 15,
x or
x
-1 is an integer that is a prime power dividing 2
14.3
6.5
3.