/*
www-ATLAS of Group Representations.
12a.L3(4):2a represented as 48 x 48 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,48,[
"010000000000000000000000000000000000000000000000",
"100000000000000000000000000000000000000000000000",
"000100000000000000000000000000000000000000000000",
"001000000000000000000000000000000000000000000000",
"000000100000000000000000000000000000000000000000",
"000000010000000000000000000000000000000000000000",
"000010000000000000000000000000000000000000000000",
"000001000000000000000000000000000000000000000000",
"000000000001000000000000000000000000000000000000",
"000000000000010000000000000000000000000000000000",
"000000000000000100000000000000000000000000000000",
"000000001000000000000000000000000000000000000000",
"000000000000000000100000000000000000000000000000",
"000000000100000000000000000000000000000000000000",
"000000000000000000001000000000000000000000000000",
"000000000010000000000000000000000000000000000000",
"000000000000000000000001000000000000000000000000",
"000000000000000000000000010000000000000000000000",
"000000000000100000000000000000000000000000000000",
"000000000000000000000000000010000000000000000000",
"000000000000001000000000000000000000000000000000",
"214603300040000000500030000000000000000000000000",
"245160060000300100000500000000000000000000000000",
"000000000000000010000000000000000000000000000000",
"000000000000000000000000000000000100000000000000",
"000000000000000001000000000000000000000000000000",
"000000000000000000000000000000000001000000000000",
"000000000000000000000000000000000000010000000000",
"000000000000000000010000000000000000000000000000",
"000000000000000000000000000000000000000010000000",
"000000000000000000000000000000000000000000100000",
"000000000000000000000000000000000000000000001000",
"000000000000000000000000000000000000000000000010",
"000000000000000000000000100000000000000000000000",
"022212040616224336565245500004533340324000501514",
"000000000000000000000000001000000000000000000000",
"153162065632530136041535656535062414066336623663",
"000000000000000000000000000100000000000000000000",
"116320633022156143350562463221006643161631211266",
"143320513311344125206221163164461251003030325344",
"000000000000000000000000000001000000000000000000",
"116003412555034363651063121266552440334112044406",
"000000000000000000000000000000100000000000000000",
"356542550255341540534445036631000666462142344313",
"000000000000000000000000000000010000000000000000",
"052652606462204046345422563050554050565053241661",
"000000000000000000000000000000001000000000000000",
"006532430522453120121230441620500611210453436234"]);

y:=CambridgeMatrix(1,F,48,[
"001000000000000000000000000000000000000000000000",
"620000000000000000000000000000000000000000000000",
"000010000000000000000000000000000000000000000000",
"000001000000000000000000000000000000000000000000",
"613050000000000000000000000000000000000000000000",
"000000001000000000000000000000000000000000000000",
"000000000100000000000000000000000000000000000000",
"000000000010000000000000000000000000000000000000",
"000000000000100000000000000000000000000000000000",
"000000000000001000000000000000000000000000000000",
"000000000000000010000000000000000000000000000000",
"000000000000000001000000000000000000000000000000",
"000100000000000000000000000000000000000000000000",
"000000000000000000010000000000000000000000000000",
"000000000000000000000100000000000000000000000000",
"000000000000000000000010000000000000000000000000",
"000000000000000000000000100000000000000000000000",
"000000000000000000000000001000000000000000000000",
"000000000000000000000000000100000000000000000000",
"000000000000000000000000000001000000000000000000",
"000000000000000000000000000000100000000000000000",
"000000100000000000000000000000000000000000000000",
"000000000000000000000000000000010000000000000000",
"000000000000000000000000000000001000000000000000",
"000000010000000000000000000000000000000000000000",
"000000000000000000000000000000000010000000000000",
"000000000000000000000000000000000000100000000000",
"000000000000000000000000000000000000001000000000",
"000000000000000000000000000000000000000100000000",
"000000000000000000000000000000000000000001000000",
"000000000000000000000000000000000000000000010000",
"000000000000000000000000000000000000000000000100",
"000000000000000000000000000000000000000000000001",
"513246205362031564534530002626521166562316111255",
"115641625333361405442321236420451640643545653541",
"310615131232144500152561646462524420510256542332",
"000000000001000000000000000000000000000000000000",
"423324551301242615650543034312201304531633633234",
"405305125126156052524321454311112320321306364120",
"523360160334102620246503333460241123651124130360",
"312103140033362325430101134544320362155304424441",
"000000000000010000000000000000000000000000000000",
"243653313610662162121363546526112063140053335465",
"421365325216134163645501241342306260513446652504",
"653255254341103111636436322612102230162413521246",
"000000000000000100000000000000000000000000000000",
"020545023541143501255153102560040106301321013544",
"322440000265130152540350512011161114103546463555"]);

G<x,y>:=MatrixGroup<48,F|x,y>;
print "Group G is 12a.L3(4):2a < GL(48,GF(7))";