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These bugs will not be fixed in the short term:
testex:=NewSphereMachine("a=<d^-1,d>(1,2)", "b=<a, d>", "c=<b,c>", "d=<c,c^-1>(1,2)", "a*b*c*d");
-- this is a non-flexible Lattes map, whose square is flexible (it's multiplication by sqrt(-2) on the lattice Z[sqrt(-2)]).