Some solutions for n=4
.....0........6........6........6........6........0........0........5
....0.5......0.1......2.6......2.3......2.5......0.0......5.3......2.6
...5.2.5....6.0.6....2.3.3....6.0.0....5.1.5....0.4.5....4.4.1....6.2.5
..4.1.4.1..0.1.2.3..0.0.0.0..0.1.4.3..2.0.4.1..4.3.1.0..4.3.4.3..0.1.1.0
Element moves: 0=itself 1=nw 2=ne 3=w 4=e 5=sw 6=se, reciprocals total 7
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