My plan is to periodically update the "initialdata" file as bounds on unknotting
numbers improve. The file I initially uploaded, initialdata170410.txt, 
erroniously listed the knot K12a1164 as having unknotting range [2,3], when
Knotinfo lists it as [2,4]. (I discovered this when my own searches tried
to *use* K12a1164 to declare another counterexample.) I have no idea (yet)
why I "promoted" this knot, I am going through my databases to determine
when I did this (in order to give me a hint!).