Degree 10 Extensions of Q₂

c e f d eps Polynomial G I Galois
Slope
Content GMS Deg 2
Subs Deg 5
Subs
0 1 10 * 1 x¹⁰-x³+ 1 $C_{10}$ 0
[ ] 10

0 * U₅

8 5 2 * 1 x¹⁰- 2x⁵+ 4 $F_{5}$ $C_5$
[ ] 4
5
4/5 * x⁵- 2

10 2 5 1 -1 x¹⁰- 9x⁸+ 54x⁶- 38x⁴+ 41x²- 17 T8 $C_2^4$
[2, 2, 2, 2] 5

15/8 U₅
10 2 5 1 1 x¹⁰- 5x⁸+ 10x⁶- 2x⁴- 11x²+ 39 T8 $C_2^4$
[2, 2, 2, 2] 5

15/8 U₅
10 2 5 1 -1 x¹⁰- 9x⁸+ 22x⁶- 46x⁴+ 9x²- 9 T8 $C_2^4$
[2, 2, 2, 2] 5

15/8 U₅
10 2 5 * -1 x¹⁰- 5x⁸+ 14x⁶- 22x⁴+ 17x²- 37 T14 $C_2^4$
[2, 2, 2, 2] 10

15/8 U₅
10 2 5 * 1 x¹⁰- 9x⁸+ 50x⁶- 50x⁴+ 45x²- 5 T14 $C_2^4$
[2, 2, 2, 2] 10

15/8 U₅
10 2 5 * -1 x¹⁰- 5x⁸- 18x⁶- 46x⁴+ 49x²- 13 T14 $C_2^4$
[2, 2, 2, 2] 10

15/8 U₅
10 2 5 -1 i x¹⁰-x⁸-x⁶- 3x²- 7 $C_{10}$ $C_2$
[2] 5

1 -1 U₅
10 2 5 -1 -i x¹⁰+x⁸- 2x⁶- 2x⁴+x²+ 33 T14 $C_2^5$
[2, 2, 2, 2, 2] 5

31/16 U₅
10 2 5 -1 -i x¹⁰- 15x⁸+ 38x⁶- 18x⁴+ 25x²- 63 T14 $C_2^5$
[2, 2, 2, 2, 2] 5

31/16 U₅
10 2 5 -1 i x¹⁰- 11x⁸+ 10x⁶- 62x⁴+ 21x²- 55 T14 $C_2^5$
[2, 2, 2, 2, 2] 5

31/16 U₅
10 2 5 -* i x¹⁰-x⁸+ 3x⁶+x²- 3 $C_{10}$ $C_2$
[2] 5

1 -* U₅
10 2 5 -* -i x¹⁰- 11x⁸+ 54x⁶- 10x⁴+ 9x²- 11 T14 $C_2^5$
[2, 2, 2, 2, 2] 5

31/16 U₅
10 2 5 -* i x¹⁰- 15x⁸+ 26x⁶- 22x⁴+ 37x²- 59 T14 $C_2^5$
[2, 2, 2, 2, 2] 5

31/16 U₅
10 2 5 -* -i x¹⁰+ 5x⁸- 50x⁶- 58x⁴+ 49x²+ 21 T14 $C_2^5$
[2, 2, 2, 2, 2] 5

31/16 U₅
10 10 1 1 1 x¹⁰+ 2x+ 2 T24 T8
[6/5, 6/5, 6/5, 6/5] 4
5
47/40 x⁵- 2
10 10 1 * 1 x¹⁰+ 2x²+ 2x+ 2 T25 T8
[6/5, 6/5, 6/5, 6/5] 4
5
47/40 x⁵- 2

12 10 1 1 1 x¹⁰- 2x⁶- 2x³- 2 T24 T8
[8/5, 8/5, 8/5, 8/5] 4
5
31/20 x⁵- 2
12 10 1 1 1 x¹⁰+ 2x⁶+ 2x⁴+ 2x³+ 2 T24 T8
[8/5, 8/5, 8/5, 8/5] 4
5
31/20 x⁵- 2
12 10 1 * 1 x¹⁰+ 2x⁶+ 2x⁵+ 2x⁴+ 2x³+ 2x²+ 2 T25 T8
[8/5, 8/5, 8/5, 8/5] 4
5
31/20 x⁵- 2
12 10 1 * 1 x¹⁰+ 2x⁵+ 2x³- 2 T25 T8
[8/5, 8/5, 8/5, 8/5] 4
5
31/20 x⁵- 2

14 10 1 -1 i x¹⁰- 2x⁶+ 2x⁵+ 2x²+ 2 $F_{5}\times C_2$ $C_{10}$
[2] 4
5
7/5 -1 x⁵- 2
14 10 1 -1 i x¹⁰- 2x⁸- 2x⁵- 6 T29 T14
[6/5, 6/5, 6/5, 6/5, 2] 4
5
127/80 x⁵- 2
14 10 1 -1 i x¹⁰- 2x⁸+ 2x⁵- 2x⁴- 6 T29 T14
[8/5, 8/5, 8/5, 8/5, 2] 4
5
71/40 x⁵- 2
14 10 1 -1 i x¹⁰+ 2x⁵- 2x⁴- 6 T29 T14
[8/5, 8/5, 8/5, 8/5, 2] 4
5
71/40 x⁵- 2
14 10 1 -* i x¹⁰- 2x⁵- 2 $F_{5}\times C_2$ $C_{10}$
[2] 4
5
7/5 -* x⁵- 2
14 10 1 -* i x¹⁰+ 2x⁸- 2x⁷+ 2x⁶- 2x⁵- 2x⁴- 2x²+ 2 T29 T14
[6/5, 6/5, 6/5, 6/5, 2] 4
5
127/80 x⁵- 2
14 10 1 -* i x¹⁰+ 2x⁸- 2x⁷+ 2x⁵+ 2x²+ 6 T29 T14
[8/5, 8/5, 8/5, 8/5, 2] 4
5
71/40 x⁵- 2
14 10 1 -* i x¹⁰- 2x⁹+ 2x⁵- 2x⁴+ 2x²- 6 T29 T14
[8/5, 8/5, 8/5, 8/5, 2] 4
5
71/40 x⁵- 2

15 2 5 2 1 x¹⁰+ 2x⁸- 4x⁶+ 16x²- 32 $C_{10}$ $C_2$
[3] 5

3/2 2 U₅
15 2 5 2 1 x¹⁰- 10x⁸+ 40x⁶- 16x⁴- 176x²+ 1248 T14 $C_2^5$
[2, 2, 2, 2, 3] 5

39/16 U₅
15 2 5 2 -1 x¹⁰- 18x⁸+ 216x⁶- 304x⁴+ 656x²- 544 T14 $C_2^5$
[2, 2, 2, 2, 3] 5

39/16 U₅
15 2 5 2 -1 x¹⁰- 18x⁸+ 88x⁶- 368x⁴+ 144x²- 288 T14 $C_2^5$
[2, 2, 2, 2, 3] 5

39/16 U₅
15 2 5 2* -1 x¹⁰+ 14x⁸+ 40x⁶- 144x⁴- 432x²+ 33632 $C_{10}$ $C_2$
[3] 5

3/2 2* U₅
15 2 5 2* 1 x¹⁰- 10x⁸- 72x⁶- 368x⁴+ 784x²- 416 T14 $C_2^5$
[2, 2, 2, 2, 3] 5

39/16 U₅
15 2 5 2* 1 x¹⁰- 10x⁸+ 56x⁶- 176x⁴+ 272x²- 1184 T14 $C_2^5$
[2, 2, 2, 2, 3] 5

39/16 U₅
15 2 5 2* -1 x¹⁰- 18x⁸+ 200x⁶- 400x⁴+ 720x²- 160 T14 $C_2^5$
[2, 2, 2, 2, 3] 5

39/16 U₅
15 2 5 -2 i x¹⁰- 6x⁸- 24x⁶+ 80x⁴+ 336x²+ 33056 $C_{10}$ $C_2$
[3] 5

3/2 -2 U₅
15 2 5 -2 i x¹⁰- 6x⁸+ 136x⁶- 48x⁴+ 464x²+ 1312 T14 $C_2^5$
[2, 2, 2, 2, 3] 5

39/16 U₅
15 2 5 -2 -i x¹⁰+ 2x⁸- 8x⁶- 16x⁴+ 16x²+ 1056 T14 $C_2^5$
[2, 2, 2, 2, 3] 5

39/16 U₅
15 2 5 -2 -i x¹⁰- 30x⁸+ 152x⁶- 144x⁴+ 400x²- 2016 T14 $C_2^5$
[2, 2, 2, 2, 3] 5

39/16 U₅
15 2 5 -2* -i x¹⁰- 2x⁸- 4x⁶- 48x²- 96 $C_{10}$ $C_2$
[3] 5

3/2 -2* U₅
15 2 5 -2* i x¹⁰- 6x⁸+ 184x⁶- 16x⁴- 752x²+ 1184 T14 $C_2^5$
[2, 2, 2, 2, 3] 5

39/16 U₅
15 2 5 -2* -i x¹⁰- 30x⁸+ 104x⁶- 176x⁴+ 592x²- 1888 T14 $C_2^5$
[2, 2, 2, 2, 3] 5

39/16 U₅
15 2 5 -2* i x¹⁰+ 26x⁸+ 184x⁶- 80x⁴- 752x²+ 928 T14 $C_2^5$
[2, 2, 2, 2, 3] 5

39/16 U₅

16 10 1 1 1 x¹⁰- 2x⁷- 4x⁴- 2 T24 T8
[12/5, 12/5, 12/5, 12/5] 4
5
23/10 x⁵- 2
16 10 1 1 -1 x¹⁰- 2x⁹- 2x⁸+ 2x⁷- 2x⁶- 6x⁴- 4x²+ 4x- 6 T24 T8
[12/5, 12/5, 12/5, 12/5] 4
5
23/10 x⁵- 2
16 10 1 1 1 x¹⁰+ 2x⁷+ 2x⁶+ 4x⁴+ 4x²+ 2 T24 T8
[12/5, 12/5, 12/5, 12/5] 4
5
23/10 x⁵- 2
16 10 1 1 -1 x¹⁰- 2x⁹- 2x⁸+ 2x⁷- 2x⁶- 2x²+ 4x- 2 T24 T8
[12/5, 12/5, 12/5, 12/5] 4
5
23/10 x⁵- 2
16 10 1 * 1 x¹⁰- 2x⁷- 6x⁴- 4x³- 2x²- 4x- 6 T25 T8
[12/5, 12/5, 12/5, 12/5] 4
5
23/10 x⁵- 2
16 10 1 * 1 x¹⁰- 2x⁹- 2x⁷- 2x⁴- 4x²- 4x- 2 T25 T8
[12/5, 12/5, 12/5, 12/5] 4
5
23/10 x⁵- 2
16 10 1 * -1 x¹⁰- 2x⁸- 2x⁷- 2x⁴+ 4x³- 6x²- 4x- 2 T25 T8
[12/5, 12/5, 12/5, 12/5] 4
5
23/10 x⁵- 2
16 10 1 * -1 x¹⁰- 2x⁹+ 2x⁸- 2x⁷- 6x²+ 4x- 2 T25 T8
[12/5, 12/5, 12/5, 12/5] 4
5
23/10 x⁵- 2
16 10 1 -1 i x¹⁰- 2x⁹- 2x⁸- 2x⁷- 2x⁶- 6x⁴- 4x³+ 6x²- 2 T29 T14
[2, 12/5, 12/5, 12/5, 12/5] 4
5
187/80 x⁵- 2
16 10 1 -1 -i x¹⁰- 2x⁹+ 2x⁷+ 2x⁶- 6x⁴- 4x³- 6x²- 2 T29 T14
[2, 12/5, 12/5, 12/5, 12/5] 4
5
187/80 x⁵- 2
16 10 1 -1 -i x¹⁰- 2x⁹+ 2x⁷+ 2x⁶- 6 T29 T14
[2, 12/5, 12/5, 12/5, 12/5] 4
5
187/80 x⁵- 2
16 10 1 -1 i x¹⁰- 2x⁷- 2x⁶- 4x⁴- 2x²- 2 T29 T14
[2, 12/5, 12/5, 12/5, 12/5] 4
5
187/80 x⁵- 2
16 10 1 -* -i x¹⁰- 2x⁹+ 2x⁷- 6x⁴- 4x³- 2x²- 2 T29 T14
[2, 12/5, 12/5, 12/5, 12/5] 4
5
187/80 x⁵- 2
16 10 1 -* -i x¹⁰- 2x⁸+ 2x⁷- 2x⁴- 4x²+ 4x- 6 T29 T14
[2, 12/5, 12/5, 12/5, 12/5] 4
5
187/80 x⁵- 2
16 10 1 -* i x¹⁰- 2x⁹- 2x⁸- 2x⁷- 2x⁴- 4x³- 6x²- 2 T29 T14
[2, 12/5, 12/5, 12/5, 12/5] 4
5
187/80 x⁵- 2
16 10 1 -* i x¹⁰- 2x⁷- 6x⁴- 4x²+ 4x- 6 T29 T14
[2, 12/5, 12/5, 12/5, 12/5] 4
5
187/80 x⁵- 2

18 10 1 1 1 x¹⁰- 2x⁹- 2x⁸+ 6x⁶- 4x⁵- 2x⁴+ 4x²- 2 T24 T8
[14/5, 14/5, 14/5, 14/5] 4
5
107/40 x⁵- 2
18 10 1 1 -1 x¹⁰- 2x⁹+ 6x⁸- 2x⁶+ 4x⁵- 6x⁴- 2 T24 T8
[14/5, 14/5, 14/5, 14/5] 4
5
107/40 x⁵- 2
18 10 1 1 -1 x¹⁰- 2x⁹+ 6x⁸- 4x⁴+ 4x²- 6 T24 T8
[14/5, 14/5, 14/5, 14/5] 4
5
107/40 x⁵- 2
18 10 1 1 1 x¹⁰- 2x⁹+ 6x⁸- 6 T24 T8
[14/5, 14/5, 14/5, 14/5] 4
5
107/40 x⁵- 2
18 10 1 1 1 x¹⁰- 2x⁹- 6x⁸- 4x⁶- 4x⁴- 4x²- 6 T24 T8
[14/5, 14/5, 14/5, 14/5] 4
5
107/40 x⁵- 2
18 10 1 1 -1 x¹⁰- 2x⁹- 6x⁸- 6x⁶- 4x⁵- 2x⁴+ 4x²- 2 T24 T8
[14/5, 14/5, 14/5, 14/5] 4
5
107/40 x⁵- 2
18 10 1 1 -1 x¹⁰- 2x⁹- 6x⁸+ 4x⁶- 6 T24 T8
[14/5, 14/5, 14/5, 14/5] 4
5
107/40 x⁵- 2
18 10 1 1 1 x¹⁰- 2x⁹- 6x⁸- 6x⁶+ 4x⁵- 6x⁴- 2 T24 T8
[14/5, 14/5, 14/5, 14/5] 4
5
107/40 x⁵- 2
18 10 1 * 1 x¹⁰- 2x⁹- 6x⁸- 6 T25 T8
[14/5, 14/5, 14/5, 14/5] 4
5
107/40 x⁵- 2
18 10 1 * -1 x¹⁰- 2x⁹- 2x⁸+ 2x⁶- 4x⁵- 2x⁴- 4x²- 2 T25 T8
[14/5, 14/5, 14/5, 14/5] 4
5
107/40 x⁵- 2
18 10 1 * -1 x¹⁰- 2x⁹- 2x⁸+ 4x⁶- 6 T25 T8
[14/5, 14/5, 14/5, 14/5] 4
5
107/40 x⁵- 2
18 10 1 * -1 x¹⁰- 2x⁹- 6x⁸- 4x⁴+ 4x²- 6 T25 T8
[14/5, 14/5, 14/5, 14/5] 4
5
107/40 x⁵- 2
18 10 1 * 1 x¹⁰- 2x⁹- 6x⁸+ 6x⁶- 4x⁵- 2x⁴+ 4x²- 2 T25 T8
[14/5, 14/5, 14/5, 14/5] 4
5
107/40 x⁵- 2
18 10 1 * -1 x¹⁰- 2x⁹- 6x⁸- 2x⁶+ 4x⁵- 6x⁴- 2 T25 T8
[14/5, 14/5, 14/5, 14/5] 4
5
107/40 x⁵- 2
18 10 1 * 1 x¹⁰- 2x⁹- 2x⁸+ 4x⁶- 4x⁴+ 4x²- 6 T25 T8
[14/5, 14/5, 14/5, 14/5] 4
5
107/40 x⁵- 2
18 10 1 * 1 x¹⁰- 2x⁹- 2x⁸- 6x⁶- 4x⁵+ 2x⁴- 2 T25 T8
[14/5, 14/5, 14/5, 14/5] 4
5
107/40 x⁵- 2
18 10 1 -1 -i x¹⁰- 2x⁹+ 2x⁶- 4x⁵- 2x⁴+ 4x²- 6 T29 T14
[2, 14/5, 14/5, 14/5, 14/5] 4
5
217/80 x⁵- 2
18 10 1 -1 i x¹⁰- 2x⁹- 4x⁶- 4x⁴- 4x²- 2 T29 T14
[2, 14/5, 14/5, 14/5, 14/5] 4
5
217/80 x⁵- 2
18 10 1 -1 i x¹⁰- 2x⁹- 6x⁶+ 4x⁵- 6x⁴- 6 T29 T14
[2, 14/5, 14/5, 14/5, 14/5] 4
5
217/80 x⁵- 2
18 10 1 -1 i x¹⁰- 2x⁹- 4x⁸- 2x⁶+ 4x⁵- 2x⁴- 4x²- 6 T29 T14
[2, 14/5, 14/5, 14/5, 14/5] 4
5
217/80 x⁵- 2
18 10 1 -1 i x¹⁰- 2x⁹+ 4x⁸- 2 T29 T14
[2, 14/5, 14/5, 14/5, 14/5] 4
5
217/80 x⁵- 2
18 10 1 -1 -i x¹⁰- 2x⁹+ 4x⁸- 4x⁴+ 4x²- 2 T29 T14
[2, 14/5, 14/5, 14/5, 14/5] 4
5
217/80 x⁵- 2
18 10 1 -1 -i x¹⁰- 2x⁹+ 4x⁶- 2 T29 T14
[2, 14/5, 14/5, 14/5, 14/5] 4
5
217/80 x⁵- 2
18 10 1 -1 -i x¹⁰- 2x⁹+ 4x⁸- 2x⁶+ 4x⁵- 6x⁴- 6 T29 T14
[2, 14/5, 14/5, 14/5, 14/5] 4
5
217/80 x⁵- 2
18 10 1 -* i x¹⁰- 2x⁹+ 4x⁸- 6x⁶+ 4x⁵- 6x⁴- 6 T29 T14
[2, 14/5, 14/5, 14/5, 14/5] 4
5
217/80 x⁵- 2
18 10 1 -* -i x¹⁰- 2x⁹+ 4x⁸- 4x⁶- 2 T29 T14
[2, 14/5, 14/5, 14/5, 14/5] 4
5
217/80 x⁵- 2
18 10 1 -* -i x¹⁰- 2x⁹+ 6x⁶+ 4x⁵- 6x⁴- 6 T29 T14
[2, 14/5, 14/5, 14/5, 14/5] 4
5
217/80 x⁵- 2
18 10 1 -* i x¹⁰- 2x⁹- 2 T29 T14
[2, 14/5, 14/5, 14/5, 14/5] 4
5
217/80 x⁵- 2
18 10 1 -* -i x¹⁰- 2x⁹- 4x⁴- 4x²- 2 T29 T14
[2, 14/5, 14/5, 14/5, 14/5] 4
5
217/80 x⁵- 2
18 10 1 -* -i x¹⁰- 2x⁹+ 4x⁸- 6x⁶+ 4x⁵- 2x⁴- 4x²- 6 T29 T14
[2, 14/5, 14/5, 14/5, 14/5] 4
5
217/80 x⁵- 2
18 10 1 -* i x¹⁰- 2x⁹+ 6x⁶- 4x⁵- 2x⁴+ 4x²- 6 T29 T14
[2, 14/5, 14/5, 14/5, 14/5] 4
5
217/80 x⁵- 2
18 10 1 -* i x¹⁰- 2x⁹+ 4x⁸- 4x⁶- 4x⁴- 4x²- 2 T29 T14
[2, 14/5, 14/5, 14/5, 14/5] 4
5
217/80 x⁵- 2

19 10 1 2 -1 x¹⁰- 2 $F_{5}\times C_2$ $C_{10}$
[3] 4
5
19/10 2 x⁵- 2
19 10 1 2 -1 x¹⁰- 6x⁸+ 4x⁶- 6x⁴+ 4x²- 2 T29 T14
[6/5, 6/5, 6/5, 6/5, 3] 4
5
167/80 x⁵- 2
19 10 1 2 -1 x¹⁰- 4x⁴- 2 T29 T14
[8/5, 8/5, 8/5, 8/5, 3] 4
5
91/40 x⁵- 2
19 10 1 2 -1 x¹⁰+ 4x⁸+ 4x⁶- 4x⁴- 4x²- 2 T29 T14
[8/5, 8/5, 8/5, 8/5, 3] 4
5
91/40 x⁵- 2
19 10 1 2 1 x¹⁰- 4x⁸+ 2x⁶- 2x⁴- 2 T29 T14
[12/5, 12/5, 12/5, 12/5, 3] 4
5
53/20 x⁵- 2
19 10 1 2 -1 x¹⁰+ 2x⁶- 2 T29 T14
[12/5, 12/5, 12/5, 12/5, 3] 4
5
53/20 x⁵- 2
19 10 1 2 -1 x¹⁰+ 6x⁶- 2 T29 T14
[12/5, 12/5, 12/5, 12/5, 3] 4
5
53/20 x⁵- 2
19 10 1 2 1 x¹⁰- 6x⁸- 6x⁶- 6x⁴- 2 T29 T14
[12/5, 12/5, 12/5, 12/5, 3] 4
5
53/20 x⁵- 2
19 10 1 2 -1 x¹⁰+ 2x⁶- 6x²- 2 T29 T14
[14/5, 14/5, 14/5, 14/5, 3] 4
5
227/80 x⁵- 2
19 10 1 2 1 x¹⁰- 6x⁸+ 2x⁶- 6x⁴+ 2x²- 2 T29 T14
[14/5, 14/5, 14/5, 14/5, 3] 4
5
227/80 x⁵- 2
19 10 1 2 1 x¹⁰- 6x⁸- 2x⁶- 2x⁴+ 2x²- 2 T29 T14
[14/5, 14/5, 14/5, 14/5, 3] 4
5
227/80 x⁵- 2
19 10 1 2 -1 x¹⁰+ 2x⁶+ 6x²- 2 T29 T14
[14/5, 14/5, 14/5, 14/5, 3] 4
5
227/80 x⁵- 2
19 10 1 2 -1 x¹⁰- 2x⁸- 4x⁴- 2x²- 2 T29 T14
[14/5, 14/5, 14/5, 14/5, 3] 4
5
227/80 x⁵- 2
19 10 1 2 1 x¹⁰- 6x⁸+ 6x²- 2 T29 T14
[14/5, 14/5, 14/5, 14/5, 3] 4
5
227/80 x⁵- 2
19 10 1 2 1 x¹⁰- 6x⁸- 4x⁴- 2x²- 2 T29 T14
[14/5, 14/5, 14/5, 14/5, 3] 4
5
227/80 x⁵- 2
19 10 1 2 -1 x¹⁰- 2x⁸- 4x⁴+ 2x²- 2 T29 T14
[14/5, 14/5, 14/5, 14/5, 3] 4
5
227/80 x⁵- 2
19 10 1 2* 1 x¹⁰- 2x⁴+ 4x²- 10 $F_{5}\times C_2$ $C_{10}$
[3] 4
5
19/10 2* x⁵- 2
19 10 1 2* 1 x¹⁰- 6x⁸- 4x⁴- 10 T29 T14
[6/5, 6/5, 6/5, 6/5, 3] 4
5
167/80 x⁵- 2
19 10 1 2* 1 x¹⁰- 4x⁸- 6x⁴+ 4x²- 10 T29 T14
[8/5, 8/5, 8/5, 8/5, 3] 4
5
91/40 x⁵- 2
19 10 1 2* 1 x¹⁰- 4x⁸- 4x⁴- 10 T29 T14
[8/5, 8/5, 8/5, 8/5, 3] 4
5
91/40 x⁵- 2
19 10 1 2* 1 x¹⁰- 2x⁶- 6x⁴- 10 T29 T14
[12/5, 12/5, 12/5, 12/5, 3] 4
5
53/20 x⁵- 2
19 10 1 2* -1 x¹⁰- 2x⁸+ 2x⁶- 6x⁴- 10 T29 T14
[12/5, 12/5, 12/5, 12/5, 3] 4
5
53/20 x⁵- 2
19 10 1 2* -1 x¹⁰- 2x⁸- 6x⁶- 10 T29 T14
[12/5, 12/5, 12/5, 12/5, 3] 4
5
53/20 x⁵- 2
19 10 1 2* 1 x¹⁰- 2x⁸- 2x⁶- 4x⁴- 10 T29 T14
[12/5, 12/5, 12/5, 12/5, 3] 4
5
53/20 x⁵- 2
19 10 1 2* 1 x¹⁰- 4x⁸- 2x⁴+ 2x²- 10 T29 T14
[14/5, 14/5, 14/5, 14/5, 3] 4
5
227/80 x⁵- 2
19 10 1 2* 1 x¹⁰- 4x⁴+ 6x²- 10 T29 T14
[14/5, 14/5, 14/5, 14/5, 3] 4
5
227/80 x⁵- 2
19 10 1 2* -1 x¹⁰- 2x⁴- 2x²- 10 T29 T14
[14/5, 14/5, 14/5, 14/5, 3] 4
5
227/80 x⁵- 2
19 10 1 2* -1 x¹⁰- 6x⁸- 2x⁶- 2x⁴+ 6x²- 10 T29 T14
[14/5, 14/5, 14/5, 14/5, 3] 4
5
227/80 x⁵- 2
19 10 1 2* -1 x¹⁰- 4x⁸- 6x⁴- 2x²- 10 T29 T14
[14/5, 14/5, 14/5, 14/5, 3] 4
5
227/80 x⁵- 2
19 10 1 2* 1 x¹⁰- 2x⁸- 2x⁶- 6x⁴- 2x²- 10 T29 T14
[14/5, 14/5, 14/5, 14/5, 3] 4
5
227/80 x⁵- 2
19 10 1 2* -1 x¹⁰- 2x⁸- 2x⁶- 6x²- 10 T29 T14
[14/5, 14/5, 14/5, 14/5, 3] 4
5
227/80 x⁵- 2
19 10 1 2* 1 x¹⁰- 2x⁸+ 2x⁶- 2x⁴+ 6x²- 10 T29 T14
[14/5, 14/5, 14/5, 14/5, 3] 4
5
227/80 x⁵- 2
19 10 1 -2 -i x¹⁰- 6x⁴+ 4x²- 14 $F_{5}\times C_2$ $C_{10}$
[3] 4
5
19/10 -2 x⁵- 2
19 10 1 -2 -i x¹⁰- 4x⁸- 14 T29 T14
[6/5, 6/5, 6/5, 6/5, 3] 4
5
167/80 x⁵- 2
19 10 1 -2 -i x¹⁰- 4x⁴- 14 T29 T14
[8/5, 8/5, 8/5, 8/5, 3] 4
5
91/40 x⁵- 2
19 10 1 -2 -i x¹⁰- 4x⁸- 4x⁴- 14 T29 T14
[8/5, 8/5, 8/5, 8/5, 3] 4
5
91/40 x⁵- 2
19 10 1 -2 -i x¹⁰- 6x⁸- 2x⁶- 4x⁴- 14 T29 T14
[12/5, 12/5, 12/5, 12/5, 3] 4
5
53/20 x⁵- 2
19 10 1 -2 i x¹⁰- 4x⁸+ 2x⁶- 6x⁴- 14 T29 T14
[12/5, 12/5, 12/5, 12/5, 3] 4
5
53/20 x⁵- 2
19 10 1 -2 -i x¹⁰- 2x⁸+ 6x⁶- 6x⁴- 14 T29 T14
[12/5, 12/5, 12/5, 12/5, 3] 4
5
53/20 x⁵- 2
19 10 1 -2 i x¹⁰- 6x⁸+ 6x⁶- 2x⁴- 14 T29 T14
[12/5, 12/5, 12/5, 12/5, 3] 4
5
53/20 x⁵- 2
19 10 1 -2 i x¹⁰- 4x⁸- 6x²- 14 T29 T14
[14/5, 14/5, 14/5, 14/5, 3] 4
5
227/80 x⁵- 2
19 10 1 -2 i x¹⁰- 2x⁸- 2x⁶- 4x⁴- 6x²- 14 T29 T14
[14/5, 14/5, 14/5, 14/5, 3] 4
5
227/80 x⁵- 2
19 10 1 -2 -i x¹⁰- 2x⁶+ 2x²- 14 T29 T14
[14/5, 14/5, 14/5, 14/5, 3] 4
5
227/80 x⁵- 2
19 10 1 -2 i x¹⁰- 4x⁸+ 6x²- 14 T29 T14
[14/5, 14/5, 14/5, 14/5, 3] 4
5
227/80 x⁵- 2
19 10 1 -2 -i x¹⁰- 6x⁸+ 2x⁶- 2x⁴+ 6x²- 14 T29 T14
[14/5, 14/5, 14/5, 14/5, 3] 4
5
227/80 x⁵- 2
19 10 1 -2 -i x¹⁰- 4x⁴- 2x²- 14 T29 T14
[14/5, 14/5, 14/5, 14/5, 3] 4
5
227/80 x⁵- 2
19 10 1 -2 -i x¹⁰- 4x⁴+ 2x²- 14 T29 T14
[14/5, 14/5, 14/5, 14/5, 3] 4
5
227/80 x⁵- 2
19 10 1 -2 i x¹⁰- 2x⁸- 2x⁶- 6x⁴- 6x²- 14 T29 T14
[14/5, 14/5, 14/5, 14/5, 3] 4
5
227/80 x⁵- 2
19 10 1 -2* i x¹⁰- 6 $F_{5}\times C_2$ $C_{10}$
[3] 4
5
19/10 -2* x⁵- 2
19 10 1 -2* i x¹⁰+ 4x⁸+ 4x⁶+ 4x²- 6 T29 T14
[6/5, 6/5, 6/5, 6/5, 3] 4
5
167/80 x⁵- 2
19 10 1 -2* i x¹⁰- 2x⁸+ 4x⁶- 6x⁴+ 4x²- 6 T29 T14
[8/5, 8/5, 8/5, 8/5, 3] 4
5
91/40 x⁵- 2
19 10 1 -2* i x¹⁰+ 4x⁸+ 4x⁶- 4x⁴- 4x²- 6 T29 T14
[8/5, 8/5, 8/5, 8/5, 3] 4
5
91/40 x⁵- 2
19 10 1 -2* i x¹⁰+ 6x⁶- 6 T29 T14
[12/5, 12/5, 12/5, 12/5, 3] 4
5
53/20 x⁵- 2
19 10 1 -2* -i x¹⁰- 4x⁸- 6x⁶- 4x⁴- 6 T29 T14
[12/5, 12/5, 12/5, 12/5, 3] 4
5
53/20 x⁵- 2
19 10 1 -2* i x¹⁰- 6x⁸- 6x⁶- 6x⁴- 6 T29 T14
[12/5, 12/5, 12/5, 12/5, 3] 4
5
53/20 x⁵- 2
19 10 1 -2* -i x¹⁰- 2x⁸- 6x⁶- 2x⁴- 6 T29 T14
[12/5, 12/5, 12/5, 12/5, 3] 4
5
53/20 x⁵- 2
19 10 1 -2* i x¹⁰- 2x²- 6 T29 T14
[14/5, 14/5, 14/5, 14/5, 3] 4
5
227/80 x⁵- 2
19 10 1 -2* -i x¹⁰- 2x⁶+ 4x⁴+ 2x²- 6 T29 T14
[14/5, 14/5, 14/5, 14/5, 3] 4
5
227/80 x⁵- 2
19 10 1 -2* i x¹⁰+ 2x²- 6 T29 T14
[14/5, 14/5, 14/5, 14/5, 3] 4
5
227/80 x⁵- 2
19 10 1 -2* -i x¹⁰- 2x⁸+ 2x⁶- 2x⁴+ 2x²- 6 T29 T14
[14/5, 14/5, 14/5, 14/5, 3] 4
5
227/80 x⁵- 2
19 10 1 -2* -i x¹⁰- 2x⁸- 4x⁴- 2x²- 6 T29 T14
[14/5, 14/5, 14/5, 14/5, 3] 4
5
227/80 x⁵- 2
19 10 1 -2* i x¹⁰+ 2x⁶+ 6x²- 6 T29 T14
[14/5, 14/5, 14/5, 14/5, 3] 4
5
227/80 x⁵- 2
19 10 1 -2* -i x¹⁰- 2x⁸+ 6x²- 6 T29 T14
[14/5, 14/5, 14/5, 14/5, 3] 4
5
227/80 x⁵- 2
19 10 1 -2* i x¹⁰- 4x⁸+ 2x⁶- 4x⁴- 2x²- 6 T29 T14
[14/5, 14/5, 14/5, 14/5, 3] 4
5
227/80 x⁵- 2

Degree 10 Extensions of Q2

Degree 10 Extensions of Q₂