j | Ramification Polygon | Slopes | Residual Polynomials | #A | Polynomials | Extensions | ||
---|---|---|---|---|---|---|---|---|
1 | {(1,1), (2,0)} | [ 1 ] | (z+1) | 1 | 2 | 2 | 2 | 2 |
2 | {(1,2), (2,0)} | [ 2 ] | (z+1) | 1 | 4 [!] | 4 | 4 | 4 |
Number Theory Tables, Department of Mathematics and Statistics, UNCG
Introduction | Extensions of Q_{2} of degree 2, 4, 8, 16, 32 |
Extensions of Q_{3} of degree 3, 6, 9, 27, 81 | Extensions of Q_{3}[x]/(x^{2}+2x+2) of degree 3, 9 |
Extensions of Q_{5} of degree 5, 25, 125 | Extensions of Q_{7} of degree 7, 49 |
j | Ramification Polygon | Slopes | Residual Polynomials | #A | Polynomials | Extensions | ||
---|---|---|---|---|---|---|---|---|
1 | {(1,1), (2,0)} | [ 1 ] | (z+1) | 1 | 2 | 2 | 2 | 2 |
2 | {(1,2), (2,0)} | [ 2 ] | (z+1) | 1 | 4 [!] | 4 | 4 | 4 |