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We have used the stabilizers in [Z] and above to calculate the number of elements in each of the nonzero

The **H**-orbits corresponding to , , have been dealt
with
above. We now discuss the remaining forms individually.
The stabilizer of is a connected 3-dimensional
group with a 2-dimensional unipotent radical.
Thus, is a single **H**-orbit of size
.

For there are two orbits. An element representing the second coset is given by . The number of elements in the orbit corresponding to the identity is . The number of elements in the orbit corresponding to the other orbit is . This follows as the values of and which satisfy the relations are , and with . There is one orbit for containing where the denominator is the order of .

There are two orbits for . The second is given by
. The number in the first is
. The number in the second is
. This follows as the elements in **S**
acting in the appropriate manner are given by
and the
relations , .

The remaining forms are in **3** variables. There are
three orbits for as in the case of three variables.
The contribution of the identity is .
The contributions from the involution and the 3-cycle are
and , respectively.

The remaining forms and each have just one orbit, of sizes and , respectively.

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