Yep...I got pretty much the same numbers as you...it must be a YM issue.
I get:
k2=456.6
k3=292
k4=453
The eqn I used is proportional to the fourth power of the diameter of the coil, inv. proportional to he number of active coils, and inv. proportional to the cube of the spring diameter. (with a constant or two thrown in for good measure)
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