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| 1 | # Kummer Degrees | 1 | # Kummer Degrees |
| 2 | A SageMath script that computes the degrees of Kummer Extensions of the | 2 | A one-file SageMath script that computes the degrees of Kummer Extensions of |
| 3 | rational numbers. | 3 | the rational numbers. In order to use the functions KummerDegree and |
| 4 | TotalKummerFailure (described below), simply download the file | ||
| 5 | kummer_degree.sage and include it in your project, for example with | ||
| 6 | attach("kummer_degree.sage"). | ||
| 4 | 7 | ||
| 5 | A Kummer Extension of Q is a field extension of the form Q_{M,N}:= | 8 | A Kummer Extension of Q is a field extension of the form Q_{M,N}:= |
| 6 | Q(\zeta_M,G^{1/N}), where: | 9 | Q(\zeta_M,G^{1/N}), where: |