#20759: Lazier computation of generators of relative number fields
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Reporter: pbruin | Owner:
Type: enhancement | Status: new
Priority: minor | Milestone: sage-7.3
Component: number fields | Keywords:
Merged in: | Authors: Peter Bruin
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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Currently, the generators of a relative number field (including images of
generators of the base field) are computed on initialisation. This causes
a slowdown when applying #20749; see comment:5:ticket:20749.
The slow initalisation can be solved using "lazier" implementations of the
methods `gen()`, `gens()`, `ngens()` and `_first_ngens()` of
`NumberField_relative`. In combination with #20749, this means that the
somewhat expensive method `_nf_nfzk()` will only be called the first time
an element from the base field is mapped to the relative field. This is
probably the most reasonable point at which to call `_nf_nfzk()`.
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Ticket URL: <http://trac.sagemath.org/ticket/20759>
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