Straining my eyes to do a pin count it seems that one socket is 9 x 2 with gaps included and the other is 10 x 2?
Either which way you need the manual.
Guessing, (and easy for me because it won't be my mobo in trouble)........... the function of the switch is merely to close a low voltage circuit on the motherboard. If so then all but 2 of those pins are irrelevant and polarity doesn't matter.
So in my head, would simply plug it in anyway and see what happens. That is MY theory...... perhaps someone else will confirm this or shout NO DONT!