  
  [1X1 [33X[0;0YIntroduction[133X[101X
  
  [33X[0;0YThe  package  [5XCaratInterface[105X  contains  [5XGAP[105X  interface  routines to [5XCARAT[105X, a
  package  of programs for the computation with crystallographic groups. [5XCARAT[105X
  is implemented in C, and has been developed by J. Opgenorth, W. Plesken, and
  T. Schulz at Lehrstuhl B für Mathematik, RWTH Aachen. The algorithms used by
  [5XCARAT[105X are described in [OPS98].[133X
  
  [33X[0;0Y[5XCARAT[105X  is  to  a  large  extent  complementary  to the [5XGAP[105X package [5XCryst[105X. In
  particular,  it  provides  routines  for  the computation of normalizers and
  conjugators  of  finite  unimodular  groups in [22XGL(n,ℤ)[122X, and routines for the
  computation  of Bravais groups, which are all missing in [5XCryst[105X. Furthermore,
  [5XCARAT[105X  also  provides  a  catalog of Bravais groups up to dimension 6. [5XCryst[105X
  automatically  loads  [5XCaratInterface[105X  when it is available, and makes use of
  its  functions  where  necessary.  The  present  package thereby extends the
  functionality of [5XCryst[105X considerably.[133X
  
  [33X[0;0Y[5XCARAT[105X itself is NOT part of this package. However, for your convenience, and
  in  accordance  with  the  [5XCARAT[105X license, a copy of [5XCARAT[105X is included. It is
  this  version  with  which the interface routines have been tested. The most
  recent version of [5XCARAT[105X can be obtained at its home page[133X
  
  [30X    [33X[0;6Y[7Xhttps://lbfm-rwth.github.io/carat[107X.[133X
  
  [33X[0;0YThe [5XGAP[105X interface routines to [5XCARAT[105X have been written by[133X
  
  [30X    [33X[0;6YFranz Gähler[133X
        [33X[0;6YFakultät für Mathematik[133X
        [33X[0;6YUniversität Bielefeld[133X
        [33X[0;6YPostfach 10 01 31[133X
        [33X[0;6YD-33501 Bielefeld[133X
        [33X[0;6Y[7Xmailto:gaehler@math.uni-bielefeld.de[107X[133X
  
  [33X[0;0YFor  bug reports, suggestions and comments regarding the interface routines,
  please use the issue tracker on GitHub:[133X
  
  [30X    [33X[0;6Y[7Xhttps://github.com/gap-packages/CaratInterface/issues/[107X[133X
  
  [33X[0;0YBug  reports  regarding  [5XCARAT[105X  itself should be reported in the [5XCARAT[105X issue
  tracker on GitHub:[133X
  
  [30X    [33X[0;6Y[7Xhttps://github.com/lbfm-rwth/carat/issues/[107X[133X
  
