c | e | f | d
|
| Polynomial | G | I
| Galois Slope Content | GMS
| Deg 2 Subs
|
---|
0 | 1 | 4 | * | 1 | x4-x+ 1 | $C_{4}$
| 0
|
| 0 | *
|
|
4 | 2 | 2 | 1 | -1 | x4+ 8x2+ 4 | $C_2^2$
| $C_2$ |
| 1 | *, -1, -*
|
4 | 2 | 2 | * | -1 | x4-x2+ 5 | $C_{4}$
| $C_2$ |
| 1 | *
|
4 | 2 | 2 | -1 | -i | x4+ 2x2+ 4x+ 4 | $D_4$
| $C_2^2$ |
| 3/2 | *
|
4 | 2 | 2 | -* | -i | x4- 5 | $D_4$
| $C_2^2$ |
| 3/2 | *
|
4 | 4 | 1 | * | 1 | x4+ 2x+ 2 | $S_4$
| $A_4$
|
| 7/6 |
|
|
6 | 2 | 2 | 1 | -1 | x4- 6x2+ 4 | $C_2^2$
| $C_2$ |
| 3/2 | *, 2, 2*
|
6 | 2 | 2 | 1 | 1 | x4- 2x2+ 4 | $C_2^2$
| $C_2$ |
| 3/2 | *, -2, -2*
|
6 | 2 | 2 | * | 1 | x4+ 2x2+ 20 | $C_{4}$
| $C_2$ |
| 3/2 | *
|
6 | 2 | 2 | * | -1 | x4- 2x2+ 20 | $C_{4}$
| $C_2$ |
| 3/2 | *
|
6 | 2 | 2 | -1 | i | x4+ 2x2- 4 | $D_4$
| $C_2^2$ |
| 2 | *
|
6 | 2 | 2 | -* | -i | x4- 20 | $D_4$
| $C_2^2$ |
| 2 | *
|
6 | 4 | 1 | 1 | -1 | x4+ 2x3+ 2x2+ 2 | $A_4$
| $C_2^2$
|
| 3/2 |
|
6 | 4 | 1 | * | 1 | x4+ 2x3+ 2 | $D_4$
| $C_2^2$
|
| 3/2 | -1
|
6 | 4 | 1 | * | 1 | x4+ 2x3+ 6 | $D_4$
| $C_2^2$
|
| 3/2 | -*
|
|
8 | 4 | 1 | 1 | -1 | x4+ 2x2+ 4x+ 10 | $C_2^2$
| $C_2^2$
|
| 2 | -1, -2*, 2*
|
8 | 4 | 1 | 1 | -1 | x4+ 6x2+ 1 | $C_2^2$
| $C_2^2$
|
| 2 | -1, -2, 2
|
8 | 4 | 1 | 1 | 1 | x4+ 6x2+ 4x+ 14 | $C_2^2$
| $C_2^2$
|
| 2 | -*, -2*, 2
|
8 | 4 | 1 | 1 | 1 | x4+ 6x2+ 4x+ 6 | $C_2^2$
| $C_2^2$
|
| 2 | -*, -2, 2*
|
8 | 4 | 1 | * | 1 | x4+ 2x2+ 4x+ 6 | $D_4$
| $C_2^2$
|
| 2 | -*
|
8 | 4 | 1 | * | -1 | x4+ 6x2+ 4x+ 2 | $D_4$
| $C_2^2$
|
| 2 | -1
|
8 | 4 | 1 | * | -1 | x4+ 4x2+ 4x+ 2 | $S_4$
| $A_4$
|
| 13/6 |
|
8 | 4 | 1 | * | 1 | x4+ 4x+ 2 | $S_4$
| $A_4$
|
| 13/6 |
|
|
9 | 4 | 1 | 2 | 1 | x4+ 6x2+ 2 | $D_4$
| $D_4$
|
| 11/4 | -1
|
9 | 4 | 1 | 2 | -1 | x4- 2x2+ 2 | $D_4$
| $D_4$
|
| 11/4 | -1
|
9 | 4 | 1 | 2* | 1 | x4+ 6x2+ 10 | $D_4$
| $D_4$
|
| 11/4 | -1
|
9 | 4 | 1 | 2* | -1 | x4+ 2x2+ 10 | $D_4$
| $D_4$
|
| 11/4 | -1
|
9 | 4 | 1 | -2 | i | x4+ 2x2- 2 | $D_4$
| $D_4$
|
| 11/4 | -*
|
9 | 4 | 1 | -2 | -i | x4- 2x2- 2 | $D_4$
| $D_4$
|
| 11/4 | -*
|
9 | 4 | 1 | -2* | i | x4+ 2x2+ 6 | $D_4$
| $D_4$
|
| 11/4 | -*
|
9 | 4 | 1 | -2* | -i | x4- 2x2+ 6 | $D_4$
| $D_4$
|
| 11/4 | -*
|
|
10 | 4 | 1 | -1 | i | x4+ 2x2- 9 | $D_4$
| $D_4$
|
| 11/4 | 2*
|
10 | 4 | 1 | -1 | i | x4+ 2x2- 1 | $D_4$
| $D_4$
|
| 11/4 | 2
|
10 | 4 | 1 | -1 | -i | x4+ 6x2- 9 | $D_4$
| $D_4$
|
| 11/4 | 2
|
10 | 4 | 1 | -1 | -i | x4+ 6x2- 1 | $D_4$
| $D_4$
|
| 11/4 | 2*
|
10 | 4 | 1 | -* | i | x4- 6x2+ 3 | $D_4$
| $D_4$
|
| 11/4 | -2*
|
10 | 4 | 1 | -* | -i | x4+ 6x2+ 3 | $D_4$
| $D_4$
|
| 11/4 | -2*
|
10 | 4 | 1 | -* | i | x4- 2x2+ 3 | $D_4$
| $D_4$
|
| 11/4 | -2
|
10 | 4 | 1 | -* | -i | x4+ 2x2+ 3 | $D_4$
| $D_4$
|
| 11/4 | -2
|
|
11 | 4 | 1 | 2 | 1 | x4+ 12x2+ 2 | $C_{4}$
| $C_{4}$
|
| 11/4 | 2
|
11 | 4 | 1 | 2 | -1 | x4+ 8x+ 14 | $C_{4}$
| $C_{4}$
|
| 11/4 | 2
|
11 | 4 | 1 | 2 | -1 | x4+ 4x2+ 18 | $C_{4}$
| $C_{4}$
|
| 11/4 | 2
|
11 | 4 | 1 | 2 | 1 | x4+ 12x2+ 18 | $C_{4}$
| $C_{4}$
|
| 11/4 | 2
|
11 | 4 | 1 | 2 | -1 | x4+ 2 | $D_4$
| $D_4$
|
| 3 | -2
|
11 | 4 | 1 | 2 | -1 | x4+ 18 | $D_4$
| $D_4$
|
| 3 | -2
|
11 | 4 | 1 | 2* | 1 | x4+ 8x2+ 8x+ 22 | $C_{4}$
| $C_{4}$
|
| 11/4 | 2*
|
11 | 4 | 1 | 2* | -1 | x4+ 4x2+ 10 | $C_{4}$
| $C_{4}$
|
| 11/4 | 2*
|
11 | 4 | 1 | 2* | 1 | x4+ 12x2+ 10 | $C_{4}$
| $C_{4}$
|
| 11/4 | 2*
|
11 | 4 | 1 | 2* | -1 | x4+ 8x+ 6 | $C_{4}$
| $C_{4}$
|
| 11/4 | 2*
|
11 | 4 | 1 | 2* | -1 | x4+ 10 | $D_4$
| $D_4$
|
| 3 | -2*
|
11 | 4 | 1 | 2* | -1 | x4+ 26 | $D_4$
| $D_4$
|
| 3 | -2*
|
11 | 4 | 1 | -2 | -i | x4+ 4x2+ 14 | $D_4$
| $C_{4}$
|
| 11/4 | -2*
|
11 | 4 | 1 | -2 | i | x4+ 8x+ 10 | $D_4$
| $C_{4}$
|
| 11/4 | -2*
|
11 | 4 | 1 | -2 | i | x4+ 30 | $D_4$
| $D_4$
|
| 3 | 2
|
11 | 4 | 1 | -2 | i | x4+ 14 | $D_4$
| $D_4$
|
| 3 | 2
|
11 | 4 | 1 | -2* | -i | x4+ 4x2+ 6 | $D_4$
| $C_{4}$
|
| 11/4 | -2
|
11 | 4 | 1 | -2* | i | x4+ 12x2+ 6 | $D_4$
| $C_{4}$
|
| 11/4 | -2
|
11 | 4 | 1 | -2* | i | x4+ 22 | $D_4$
| $D_4$
|
| 3 | 2*
|
11 | 4 | 1 | -2* | i | x4+ 6 | $D_4$
| $D_4$
|
| 3 | 2*
|