Thank you for your work!
A few machines for which we have stats are here:
P is the size of the period and should be correct
S is the time step when the cycling behavior starts and should not be correct in the forum post (see the posts after for why)
I had forgotten that we have this cycler with period 91,995 
https://bbchallenge.org/45615747&s=50000&w=400&ox=0.1
(its marked as undecided because I did not bother adding it manually to the index)