/*
www-ATLAS of Group Representations.
3.L3(4) represented as 42 x 42 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,42,[
"010000000000000000000000000000000000000000",
"100000000000000000000000000000000000000000",
"014400000000000000000000000000000000000000",
"140100000000000000000000000000000000000000",
"000000100000000000000000000000000000000000",
"000000001000000000000000000000000000000000",
"000010000000000000000000000000000000000000",
"000000000001000000000000000000000000000000",
"000001000000000000000000000000000000000000",
"000000000000010000000000000000000000000000",
"000000000000001000000000000000000000000000",
"000000010000000000000000000000000000000000",
"000000000000000001000000000000000000000000",
"000000000100000000000000000000000000000000",
"000000000010000000000000000000000000000000",
"000000000000000000000100000000000000000000",
"000000000000000000000001000000000000000000",
"000000000000100000000000000000000000000000",
"140041104000000400100100000000000000000000",
"000000000000000000000000000100000000000000",
"000000000000000000000000000001000000000000",
"000000000000000100000000000000000000000000",
"000000000000000000000000000000001000000000",
"000000000000000010000000000000000000000000",
"000000000000000000000000000000000010000000",
"000000000000000000000000000000000000100000",
"000000000000000000000000000000000000001000",
"000000000000000000010000000000000000000000",
"103440120103040400000100200010000030000000",
"000000000000000000001000000000000000000000",
"132122333242331042044031130101102040200000",
"034222333322223023023013341302014020104000",
"000000000000000000000010000000000000000000",
"222144101420313012044014434101004110201000",
"000000000000000000000000100000000000000000",
"201320300430212403030140112200001041403000",
"000000000000000000000000010000000000000000",
"201311444111344112001444302004001020013000",
"000000000000000000000000001000000000000000",
"222143102430312312033204003202000000002100",
"402131204310424101041420243104003030102010",
"230012413104440121024443301301001020004001"]);

y:=CambridgeMatrix(1,F,42,[
"001000000000000000000000000000000000000000",
"000100000000000000000000000000000000000000",
"000010000000000000000000000000000000000000",
"000001000000000000000000000000000000000000",
"000000010000000000000000000000000000000000",
"000000000100000000000000000000000000000000",
"000000000010000000000000000000000000000000",
"100000000000000000000000000000000000000000",
"000000000000100000000000000000000000000000",
"010000000000000000000000000000000000000000",
"000000000000000100000000000000000000000000",
"000000000000000010000000000000000000000000",
"000000000000000000100000000000000000000000",
"000000000000000000010000000000000000000000",
"000000000000000000001000000000000000000000",
"000000000000000000000010000000000000000000",
"000000000000000000000000100000000000000000",
"000000000000000000000000010000000000000000",
"000000000000000000000000001000000000000000",
"000000000000000000000000000010000000000000",
"000000000000000000000000000000100000000000",
"000000000000000000000000000000010000000000",
"000000100000000000000000000000000000000000",
"000000000000000000000000000000000100000000",
"000000000000000000000000000000000001000000",
"000000000000000000000000000000000000010000",
"000000001000000000000000000000000000000000",
"000000000000000000000000000000000000000100",
"000000000000000000000000000000000000000010",
"000000000000000000000000000000000000000001",
"113232322131020044233133431113333101432211",
"140041104000000400100100000000000000000000",
"232114032043221313022203223414234444011134",
"134343141132201400340321230133412021400240",
"311221410403020423323141002412214110221010",
"000000000001000000000000000000000000000000",
"112133033214032204240303102033330040224211",
"000331204342011430424231322201011202344412",
"211421041111034424310032013310110142110414",
"211000304210143122131424301110113340041003",
"000000000000010000000000000000000000000000",
"343142230131332221041404204021213340001043"]);

G<x,y>:=MatrixGroup<42,F|x,y>;
print "Group G is 3.L3(4) < GL(42,GF(5))";