Incidence matrices of generalized quadrangles

Question

Is there somewhere a database of incidence matrices of generalized quadrangles that one can download?

Answer 1

http://www.uwyo.edu/moorhouse/pub/genpoly/

Answer 2

You can compute them with the FinInG package in the computer algebra system GAP. FinInG has available all the classical generalised quadrangles, elation generalised quadrangles (with a $q$-clan, flock, or Kantor family as input), and it shouldn't be difficult to compute the known Payne-derived quadrangles from the symplectic generalised quadrangles. Here is an example:

LoadPackage("fining");
gq := SymplecticSpace(3, 5);
matrix := IncidenceMatrixOfGeneralisedPolygon( gq );