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| -rw-r--r-- | README.md | 19 |
1 files changed, 10 insertions, 9 deletions
| @@ -30,7 +30,16 @@ generators can slow the script as well. | |||
| 30 | by elements of magnitude 10^6; higher ranks are feasible as well with smaller | 30 | by elements of magnitude 10^6; higher ranks are feasible as well with smaller |
| 31 | generators. | 31 | generators. |
| 32 | 32 | ||
| 33 | It contains the following useful functions: | 33 | |
| 34 | ## KummerDegree( G, M, N ) | ||
| 35 | |||
| 36 | Returns the degree of the Kummer extension Q_{M,N}. Again, G is given simply as a list of generators and it may contain torsion. | ||
| 37 | |||
| 38 | Example: | ||
| 39 | ``` | ||
| 40 | sage: KummerDegree([-36,12,-1],120,24) | ||
| 41 | 4608 | ||
| 42 | ``` | ||
| 34 | 43 | ||
| 35 | ## TotalKummerFailure( G ) | 44 | ## TotalKummerFailure( G ) |
| 36 | 45 | ||
| @@ -65,12 +74,4 @@ The following table shows the total failure of Kummer degrees if the quotient M/ | |||
| 65 | 74 | ||
| 66 | ``` | 75 | ``` |
| 67 | 76 | ||
| 68 | ## KummerDegree( G, M, N ) | ||
| 69 | 77 | ||
| 70 | Returns the degree of the Kummer extension Q_{M,N}. Again, G is given simply as a list of generators and it may contain torsion. | ||
| 71 | |||
| 72 | Example: | ||
| 73 | ``` | ||
| 74 | sage: KummerDegree([-36,12,-1],120,24) | ||
| 75 | 4608 | ||
| 76 | ``` | ||
