プログラムに計算式とかせるのがすき4 ωのワルツは見えるのか

gosh> (define omega (/ (+ -1 (* (sqrt 3) 0+1i)) 2))
omega
gosh> (expt omega 1)
-0.5000000000000002+0.8660254037844385i
gosh> (expt omega 2)
-0.4999999999999996-0.8660254037844388i
gosh> (expt omega 3)
1.0+6.432571489356498e-16i
gosh> (expt omega 4)
-0.5000000000000008+0.8660254037844383i
gosh> (expt omega 5)
-0.4999999999999983-0.8660254037844396i
gosh> (expt omega 6)
1.0+1.2865142978712996e-15i
gosh> (expt omega 7)
-0.5000000000000006+0.8660254037844384i
gosh> (expt omega 8)
-0.4999999999999985-0.8660254037844395i
gosh> (- (expt omega 3) (expt omega 6))
0.0-6.432571489356498e-16i
gosh> 

…あってんのか、これ。