/*
www-ATLAS of Group Representations.
A12 represented as 43 x 43 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,43,[
"0100000000000000000000000000000000000000000",
"0001000000000000000000000000000000000000000",
"0000010000000000000000000000000000000000000",
"1000000000000000000000000000000000000000000",
"0000000010000000000000000000000000000000000",
"0000000000100000000000000000000000000000000",
"0000000000001000000000000000000000000000000",
"0000000000000010000000000000000000000000000",
"0000000000000000100000000000000000000000000",
"0000000000000000001000000000000000000000000",
"0010000000000000000000000000000000000000000",
"0000000000000000000001000000000000000000000",
"0000000000000000000000100000000000000000000",
"0000000000000000000000001000000000000000000",
"0000000000000000000000000010000000000000000",
"0000000000000000000000000000100000000000000",
"0000100000000000000000000000000000000000000",
"2122334210233411023014024014001000000000000",
"4041143344343004231032014042403000000000000",
"3012104313244210444144030021404000000000000",
"0134444040403220410032412003204000000000000",
"4011413121332323430044002021101000000000000",
"0000001000000000000000000000000000000000000",
"1103332233130410204012202004103000000000000",
"4303314333101413303030220002004000000000000",
"0000100303443412223020142143002000000000000",
"0000000100000000000000000000000000000000000",
"0431103123111431023023042044102000000000000",
"2241231143141034001021132023401000000000000",
"3101142041421310134014034004112000000000000",
"2231103024104124010042240011001000000000000",
"2340211220411414433000242000104100000000000",
"4244023202434334010034302002402010000000000",
"2310131301312044331020423023300001000000000",
"4110312011402342314022211033004000100000000",
"0213310241121341403023234003101000010000000",
"1133032104143213440004221020202000001000000",
"4442001401004234332001444010104000000100000",
"3304013331221111322032431022200000000010000",
"3111222133330324200042411041002000000001000",
"3022021313022232230004144020304000000000100",
"0322331021211000412011023044101000000000010",
"3304302420230030420041023021403000000000001"]);

y:=CambridgeMatrix(1,F,43,[
"0010000000000000000000000000000000000000000",
"0000100000000000000000000000000000000000000",
"0000001000000000000000000000000000000000000",
"0000000100000000000000000000000000000000000",
"0000000001000000000000000000000000000000000",
"0000000000010000000000000000000000000000000",
"0000000000000100000000000000000000000000000",
"0000000000000001000000000000000000000000000",
"0000000000000000010000000000000000000000000",
"0000000000000000000100000000000000000000000",
"0000000000000000000010000000000000000000000",
"0400044000040000000000000000000000000000000",
"0000000000000000000000010000000000000000000",
"0000000000000000000000000100000000000000000",
"0000000000000000000000000001000000000000000",
"0000000000000000000000000000010000000000000",
"0000000000000000000000000000001000000000000",
"0000000000000000000000000000000100000000000",
"0000000000000000000000000000000010000000000",
"0000000000000000000000000000000001000000000",
"0000000000000000000000000000000000100000000",
"2230231212440213424003030044302000000000000",
"4021432310314440104034120040001000000000000",
"0000000000000000000000000000000000010000000",
"0233203401020313032433443103404010000000000",
"0000000000000000000000000000000000001000000",
"3002123222222213020012044003001000000000000",
"2431422123334423320400120424012420110000000",
"3111232213314303132443120020212010000000000",
"0000000000000000000000000000000000000100000",
"3234311401424134414100003120402320040000000",
"0000000000000000000000000000000000000010000",
"4320313341203133332331123212200021130000000",
"0000000000000000000000000000000000000001000",
"0000000000000000000000000000000000000000100",
"2100134311130242333032010023121113141020100",
"0000000000000000000000000000000000000000010",
"0000000000000000000000000000000000000000001",
"1332332312011134310430001424233111143123331",
"3120340314141224144441042444042142431344240",
"2203124311102324044433121120430221120413024",
"2121341211322224302340333244322112002402230",
"4300411322143222221141031304134210144041210"]);

G<x,y>:=MatrixGroup<43,F|x,y>;
print "Group G is A12 < GL(43,GF(5))";