If anyone beats this on area, I'll eat my hat.

*offer void if they don't tie on cost

This is version 5 of the bent-track submission - v1 was 85/22/669, v2 swapped the outputs and was 85/24/556 due to a pivot that used two extra hexes, v3 fixed that but went up to 586 cycles, v4 dropped the first product better and went down to 562, this version puts a temporarily-useless water atom in a better place and saves 8 more cycles off the period.