#1 [  ]

0
0
0
0
1

#2 [ 2 ]

0
0
0
x+x^{-1}
0

#3 [ 1 ]

0
x+x^{-1}
x+x^{-1}
0
0

#4 [ 2, 1 ]

x^2+1+x^{-2}
1
0
1
0

#5 [ 1, 2 ]

x^2+1+x^{-2}
1
0
1
0

#6 [ 2, 1, 2 ]

x^3+2x+2x^{-1}+x^{-3}
x+x^{-1}
0
0
0

#7 [ 1, 2, 1 ]

x^3+2x+2x^{-1}+x^{-3}
0
-x-x^{-1}
x+x^{-1}
0

#8 [ 1, 2, 1, 2 ]

x^4+2x^2+2+2x^{-2}+x^{-4}
0
0
0
0