/*
www-ATLAS of Group Representations.
U5(2) represented as 55 x 55 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,55,[
"0100000000000000000000000000000000000000000000000000000",
"1000000000000000000000000000000000000000000000000000000",
"4110000000000000000000000000000000000000000000000000000",
"0000100000000000000000000000000000000000000000000000000",
"0001000000000000000000000000000000000000000000000000000",
"0000000100000000000000000000000000000000000000000000000",
"0000000010000000000000000000000000000000000000000000000",
"0000010000000000000000000000000000000000000000000000000",
"0000001000000000000000000000000000000000000000000000000",
"0000000000001000000000000000000000000000000000000000000",
"0000000000000010000000000000000000000000000000000000000",
"0000000000000000100000000000000000000000000000000000000",
"0000000001000000000000000000000000000000000000000000000",
"0000000000000000000100000000000000000000000000000000000",
"0000000000100000000000000000000000000000000000000000000",
"0000000000000000000000100000000000000000000000000000000",
"0000000000010000000000000000000000000000000000000000000",
"0000000000000000000000000100000000000000000000000000000",
"0000000000000000000000000001000000000000000000000000000",
"0000000000000100000000000000000000000000000000000000000",
"0000000000000000000000000000001000000000000000000000000",
"0001401040010000400001000000000000000000000000000000000",
"0000000000000001000000000000000000000000000000000000000",
"0000000000000000000000000000000001000000000000000000000",
"0001401040010000400000001000000000000000000000000000000",
"0000000000000000010000000000000000000000000000000000000",
"0000000000000000000000000000000000000100000000000000000",
"0000000000000000001000000000000000000000000000000000000",
"0000000000000000000000000000000000000000100000000000000",
"4100000000000000000000000000010000000000000000000000000",
"0000000000000000000010000000000000000000000000000000000",
"0000000000000000000000000000000000000000000100000000000",
"1403233220210032441030320134402113000200100400000000000",
"0000000000000000000000010000000000000000000000000000000",
"1401403021324024303000130012200302100400300200000000000",
"4104102034031402244110330111204002010400300000000000000",
"1404132234131344201210130004104302001000400200000000000",
"0000000000000000000000000010000000000000000000000000000",
"3203242133222133341410220104304103000010200400000000000",
"3201434213312420433140040202301301000001200200000000000",
"0000000000000000000000000000100000000000000000000000000",
"0000000000000100000400010000000004000000010000000000000",
"1400000000000000000000000000000000000000001000000000000",
"0000000000000000000000000000000100000000000000000000000",
"3203203024101342041240300144101100000100400410000000000",
"4102300002003004000000100000000400000000000101000000000",
"0004123324331121202420410013103304000400400200100000000",
"1400003024101142023440300342001200000100000300010000000",
"0001410401004001000000400000100000000000400000001000000",
"4100044110130241222300400323100400000300400100000100000",
"3203243121414411410120420430003303000200000200000010000",
"0002303023312120414430030401002402000000000100000001000",
"4103213422033404224110120321104303000300400200000000100",
"1402313422333422214100330401200402000000300100000000010",
"1400021344011402433110300222304300000300200200000000001"]);

y:=CambridgeMatrix(1,F,55,[
"1400000000000000000000000000000000000000000000000000000",
"0010000000000000000000000000000000000000000000000000000",
"0001000000000000000000000000000000000000000000000000000",
"0000010000000000000000000000000000000000000000000000000",
"0000001000000000000000000000000000000000000000000000000",
"0444040000000000000000000000000000000000000000000000000",
"0000000001000000000000000000000000000000000000000000000",
"0000000000100000000000000000000000000000000000000000000",
"0000000000010000000000000000000000000000000000000000000",
"0000000000000100000000000000000000000000000000000000000",
"0000000000000001000000000000000000000000000000000000000",
"0000000000000000010000000000000000000000000000000000000",
"0000000000000000001000000000000000000000000000000000000",
"0000000000000000000010000000000000000000000000000000000",
"0000000000000000000001000000000000000000000000000000000",
"0000000000000000000000010000000000000000000000000000000",
"0000000000000000000000001000000000000000000000000000000",
"0000000000000000000000000010000000000000000000000000000",
"0000000000000000000000000000100000000000000000000000000",
"0000000000000000000000000000010000000000000000000000000",
"0000100000000000000000000000000000000000000000000000000",
"0000000000000000000000000000000100000000000000000000000",
"0000000000000000000000000000000010000000000000000000000",
"0000000000000000000000000000000000100000000000000000000",
"0000000000000000000000000000000000010000000000000000000",
"0000000000000000000000000000000000001000000000000000000",
"0000000000000000000000000000000000000010000000000000000",
"0000000000000000000000000000000000000001000000000000000",
"0000000000000000000000000000000000000000010000000000000",
"0000100100001000000000100000000000000000000000000000000",
"0000000000000000000000000000000000000000001000000000000",
"0000000000000000000000000000000000000000000010000000000",
"0000000000000000000000000000000000000000000001000000000",
"0000000000000000000000000000000000000000000000100000000",
"0000000100000000000000000000000000000000000000000000000",
"0000000000000000000000000000000000000000000000010000000",
"0000000000000000000000000000000000000000000000001000000",
"0000000000000000000000000000000000000000000000000100000",
"0000000010000000000000000000000000000000000000000000000",
"0000000000000000000000000000000000000000000000000010000",
"1410122043433243142020221044132144101333112400130200000",
"0000000000000000000000000000000000000000000000000001000",
"0000000000000000000000000000000000000000000000000000100",
"3411110414142302010202133114124243100323104310040300000",
"0000000000000000000000000000000000000000000000000000010",
"0000000000000400000100040000000000000000040000000000000",
"3344032131222214414211434004101324214213233301024120400",
"0000000000000000000000000000000000000000000000000000001",
"4412211130302140242023304140410333440141142343033200343",
"2132210343203404414044120031132121444413401403304200302",
"4313431130124341400023144402244024210300113130310331022",
"0000000000001000000000000000000000000000000000000000000",
"3310132044343403002232343003410210302102330000032020311",
"0000000000000010000000000000000000000000000000000000000",
"0000000000000000100000000000000000000000000000000000000"]);

G<x,y>:=MatrixGroup<55,F|x,y>;
print "Group G is U5(2) < GL(55,GF(5))";