# Converted to GAP from Magma file ThG1-Qr248B0.M

local result;
result := rec();

result.comment :=
"Th as 248 x 248 matrices over Q [in fact over Z[1/2]].\n\
Contains (by construction) the copy of the Dempwolff group given at\n\
http://www.mat.bham.ac.uk/atlas/v2.0/misc/25L52/mag/25L52G1-Zr248B0.M.\n\
\n\
SEED: Unknown/can't quite remember what I used for 2^5'L5(2).\n\
Possible seed (unused): Nonzero null vector of 1+x-y.\n\
Other possible seeds: Nonzero fixed vector of U3(8):3;\n\
nonzero fixed vector of G2(3) or 3xG2(3).\n\
[Outer elements of U3(8):6 and (3xG2(3)):2 negate the relevant\n\
vector.]\n\
SPIN: The 2^5'L5(2) was made as an induced representation.\n\
All basis vectors are in the same 2^5'L5(2)-orbit (and hence Th-orbit\n\
also).\n\
\n\
Matrix entries (known to exist):\n\
{-2,-1,-3/4,-5/8,-1/2,-3/8,-1/4,-1/8,0,1/8,1/4,3/8,1/2,5/8,3/4,1,2}.\n\
[We don't think there are any others.]\n\
Average nonzero: about 37400-37450 per matrix (very uncertain) [~61%].\n";

result.generators := [
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result.centralizeralgebra := [IdentityMat(248)];

return result;