KANT / KASH

QaoS - Algebraic Databases

QaoS - Querying Algebraic Objects System  new 

• QaoS is the successor of Kate, the Kant Database of Number Fields.
• It has been entirely redesigned to fulfil modern demands for accessing large amounts of pre-computed algebraic data, both comfortably and fast.
• Its modular design promises scalability and extensibilty.
• QaoS was implemented under the aspect to establish a common gateway to an algebraic database via web-browsers and computer algebra systems, such as KASH, Magma and GAP.
• QaoS is intended to provide data for:
  • Algebraic Number Fields
  • Transitive Groups
  • Algebraic Function Fields (presumably at the end of 2005)
• QaoS is currently keyword driven, but we soon plan to offer other comfortable query search methods

Query QaoS

The QaoS web interface has reached testing status and should be considered early-gamma.

Accessing QaoS from Computer Algebra Systems

The acess of QaoS from computer algebra systems makes it possible to process the data from Qaos in the systems immediately. The packages for all systems require that you have curl installed.

• KASH: KASH 2.56 has the build in functions QaosNumberField and QaosTransitiveGroup. You can pick it up from our download page or by ftp.
• KASH3 will have the build-in functions QaosNumberField, QaosTransitiveGroup, QaosFunctionField for accessing QaoS.
• GAP4: The GAP package qaos offers access functions to QaoS. The latest version can be found here (README).
• Maple: The Maple package QaoS offers access to the QaoS databases of number fields and transitive groups, see the installation instructions and a sample session. The latest version can be found here.

Comments and suggestions are most welcome.

Accessing the KANT Database from other Computer Algebra Systems

• GAP4: kantdb.g contains the function NumberFieldQuery which takes a string of the form mentioned above.