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All 3x3x3 involutions solved

I optimally solved all 170,911,549,184 involutions in half-turn metric. The entire process took about 2.5 weeks to generate the 37GB solution file. Source code is available on GitHub.

Here are the total and 48-way symmetry reduced counts by distance:

 d   Total          Unique by symmetry
--------------------------------------
 0   1              1
 1   6              1
 2   3              1
 3   72             2
 4   39             4
 5   960            25
 6   886            41
 7   12708          292
 8   19526          506