Degree      1   2   3   4   5   6
----------------------------------
3 Groups
Linear     -1   0   1
Quad        1  -2   1
----------------------------------
4 Groups
Linear     -3  -1   1   3
Quad        1  -1  -1   1
Cubic      -1   3  -3   1
----------------------------------
5 Groups
Linear     -2  -1   0   1   2
Quad        2  -1  -2  -1   2
Cubic      -1   2   0  -2   1
Quar        1  -4   6  -4   1
----------------------------------
6 Groups
Linear     -5  -3  -1   1   3   5
Quad        5  -1  -4  -4  -1   5
Cubic      -5   7   4  -4  -7   5
Quar        1  -3   2   2  -3   1
Quin       -1   5 -10  10  -5   1
----------------------------------