Polynomial Invariants | #Aut | Splitting Field | Number of | |||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
j | Ramification Polygon | Slopes | Residual Polynomials | fT | eT | #Gal | Gal | Polynomials | Extensions | |||
1 | {(1,1), (2,0), (22,0)} | [ 1, 0 ] | (z+1, z20+1) | {2} | 10 | 11 | 2 | 11·2 | 11·2 | 11·2 | ||
3 | {(1,3), (2,0), (22,0)} | [ 3, 0 ] | (z+1, z20+1) | {2} | 10 | 11 | { 112640, ...} | { 22T34, ... } | 22 | 11·22 | 11·22 | 11·22 |
5 | {(1,5), (2,0), (22,0)} | [ 5, 0 ] | (z+1, z20+1) | {2} | 10 | 11 | 23 | 11·23 | 11·23 | 11·23 | ||
7 | {(1,7), (2,0), (22,0)} | [ 7, 0 ] | (z+1, z20+1) | {2} | 10 | 11 | { 112640, ...} | { 22T34, ... } | 24 | 11·24 | 11·24 | 11·24 |
9 | {(1,9), (2,0), (22,0)} | [ 9, 0 ] | (z+1, z20+1) | {2} | 10 | 11 | 25 | 11·25 | 11·25 | 11·25 | ||
11 | {(1,11), (2,0), (22,0)} | [ 11, 0 ] | (z+1, z20+1) | {2} | 10 | 11 | { 220, ...} | { 22T6, ... } | 26 | 11·26 | 11·26 | 11·26 |
13 | {(1,13), (2,0), (22,0)} | [ 13, 0 ] | (z+1, z20+1) | {2} | 10 | 11 | 27 | 11·27 | 11·27 | 11·27 | ||
15 | {(1,15), (2,0), (22,0)} | [ 15, 0 ] | (z+1, z20+1) | {2} | 10 | 11 | { 112640, ...} | { 22T34, ... } | 28 | 11·28 | 11·28 | 11·28 |
17 | {(1,17), (2,0), (22,0)} | [ 17, 0 ] | (z+1, z20+1) | {2} | 10 | 11 | 29 | 11·29 | 11·29 | 11·29 | ||
19 | {(1,19), (2,0), (22,0)} | [ 19, 0 ] | (z+1, z20+1) | {2} | 10 | 11 | { 112640, ...} | { 22T34, ... } | 210 | 11·210 | 11·210 | 11·210 |
21 | {(1,21), (2,0), (22,0)} | [ 21, 0 ] | (z+1, z20+1) | {2} | 10 | 11 | 211 | 11·211 | 11·211 | 11·211 | ||
22 | {(1,22), (2,0), (22,0)} | [ 22, 0 ] | (z+1, z20+1) | {2} | 10 | 11 | { 220, ...} | { 22T6, ... } | 212 [.] | 11·212 | 11·212 | 11·212 |