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# This enumerates the orbit of the sporadic simple Lyons group (Ly)
# on the cosets of its first maximal subgroup. The orbit contains
# 8835156 points and uses about 4 GB of main memory.
# A non-parallel orbit algorithm takes about 1730 seconds.
LoadPackage("orb");
Read("Lydata.g"); # actually reads Lydata.g.gz
# Now enumerate the orbit of v under the action of the group generated
# by gens with "OnSubspacesByCanonicalBasis" as action function.
# The following works on my machine and uses about 1730 seconds and
# 4 GB main memory:
if IsBound(MakeReadOnlySingleObj) then
OnSubspacesByCanonicalBasisRO := function(x,g)
local y;
y := OnSubspacesByCanonicalBasis(x,g);
MakeReadOnlySingleObj(y);
return y;
end;
else
OnSubspacesByCanonicalBasisRO := OnSubspacesByCanonicalBasis;
fi;
start := Runtime();
o := Orb(gens,v,OnSubspacesByCanonicalBasisRO,rec(treehashsize := 20000000,
report := 100000));
Enumerate(o);
t := Runtime()-start;
Print("Runtime [ms]:",t,"\n");
[ Dauer der Verarbeitung: 0.25 Sekunden
(vorverarbeitet)
]
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