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After calculating 14f* and 15f* being at bit out of range, I started calculations in the quarter turn metric and just for the heck of it I switched to edge cube positions as cosets. I am in the process of verifying 15q*, which will take about 24 hours on a total of 120 cores. In the process I noticed something strange in my output. For coset 0 I get:

0 11 1 0 0
0 12 1 121477 121477
0 13 1 0 0
0 14 1 2981152 2981152
0 15 1 0 0

so I only have positions for coset 0 at even depths (12 and 14) and none at odd depths (11, 13 and 15). I get the same for coset 1:

1 11 12 4284 51408