On 13 April 2018 at 12:25, Sanketh <mendasank...@gmail.com> wrote:

> This is probably obvious but why is type='gap' not standard for Galois
> groups?

Because Pari is *vastly* faster. E.g. see this example, where Pari beats
Gap by a factor of 100:

sage: K.<a> = NumberField(x^5 - x - 1)
sage: time _=K.galois_group(type='pari')
CPU times: user 8.26 ms, sys: 3.65 ms, total: 11.9 ms
Wall time: 53.5 ms
sage: time _=K.galois_group(type='gap')
CPU times: user 212 ms, sys: 149 ms, total: 361 ms
Wall time: 5.38 s

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