Calculating with quandles

Here you can find supplementary materials, mostly data and programs in GAP, related to our papers on quandles.

Milan Cvrček, David Stanovský, Finite simple quandles revisited (2024)

• a list of small simple quandles, sorted by size (we conjecture that the list is complete up to size at least 100)
• a list of small simple quandles, sorted by the displacement group

Alexander Hulpke, David Stanovský, Petr Vojtěchovský, Connected quandles and transitive groups (2016)

• paper
• GAP code written by P.V. used to obtain all connected quandles of order less than 36
• multiplication tables of all connected quandles of order less than 36

Přemysl Jedlička, Agata Pilitowska, David Stanovský, Anna Zamojska-Dzienio, The structure of medial quandles (2015)

• paper
• GAP code for enumeration of medial quandles
• GAP package (a very preliminary version) written by P.J., reusing some code from the Loops package, for working with quandles, and for enumeration of medial quandles in particular (install = unpack to gap/pkg)

Andrew Fish, Alexei Lisitsa, David Stanovský, A combinatorial approach to knot recognition (2015)

• Perl script for knot coloring via MiniSat
• coloring data

Diane Donovan, Terry Griggs, Thomas McCourt, Jakub Opršal, David Stanovský, Distributive and anti-distributive Mendelsohn triple systems (2016)

• paper
• GAP code for enumeration of affine and distributive Mendelsohn quasigroups