[GAP Forum] GAP Interface to the KANT Number Field Database

[Sebastian Freundt]

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Dear GAP Forum,

the KANT Group Berlin is pleased to announce an interface to the KANT
Number Field Database via GAP.

The necessary snippet works out of the box provided curl (see
http://curl.haxx.se/) is properly installed and web access is granted.

The snippet itself is located at
http://www.math.tu-berlin.de/~kant/download/kantdb.g

The main intrinsic is:
NumberFieldQuery(<string> query) -> <list> L

A query for example looks like:
NumberFieldQuery("deg 2 class 5");
and means retrieve number fields of degree 2 with class number 5.

Unfortunately, GAP does not support reals nor floats, so we had to purge
the regulator information in the final output. Nonetheless you can include
criteria for regulators in the query, like:
NumberFieldQuery("deg 2 class 5 reg > 8.3");


Comments are welcome.

Greetings,
Sebastian Freundt
Sebastian Pauli
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