Barit,
I have CFM56-3 data.
The thrust/N1 curve is logarithmic all the way.
Did some testing and amazingly
the furmula below is pretty accurate

(a tad high in the mid N1's)
Thrust (lbf
pr engine)) = N1^2,2
- no constants needed.. .
I suppose older low bypass engines have less thrust in the low N1's and therefore need a higher EXP and
some constants.
Another note, by the time you reach rotate speeds,
you will have lost about 15% of your static thrust..
Cheers,
M