/*
www-ATLAS of Group Representations.
A11 represented as 45 x 45 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,45,[
"010000000000000000000000000000000000000000000",
"000100000000000000000000000000000000000000000",
"000001000000000000000000000000000000000000000",
"100000000000000000000000000000000000000000000",
"000000001000000000000000000000000000000000000",
"000000000010000000000000000000000000000000000",
"000000000000100000000000000000000000000000000",
"000000000000001000000000000000000000000000000",
"000000000000000010000000000000000000000000000",
"000000000000000000100000000000000000000000000",
"001000000000000000000000000000000000000000000",
"000000000000000000000100000000000000000000000",
"000000000000000000000010000000000000000000000",
"000000000000000000000000100000000000000000000",
"000000000000000000000000001000000000000000000",
"000000000000000000000000000010000000000000000",
"000010000000000000000000000000000000000000000",
"000000000000000000000000000000010000000000000",
"000000000000000000000000000000000100000000000",
"220101032442444234310310103030010300000000000",
"224113233232320011401300302000040400000000000",
"043113433344103013400200004000020300000000000",
"000000100000000000000000000000000000000000000",
"423402102102212132200321403040030200000000000",
"130124120314332134100110301040010100000000000",
"333400312324043334200120111020010000000000000",
"000000010000000000000000000000000000000000000",
"330434220414133021200120200100040400000000000",
"104413404130334302200030201030030200000000000",
"302231141221204210200420002031000100000000000",
"430334134311220334400420302020110300000000000",
"210213104324203002200120002000040000000000000",
"232031040424142223300140104030021300000000000",
"000000000100000000000000000000000000000000000",
"134100243210120020200020301000000110000000000",
"014434023121142343200440101020020201000000000",
"020344122210224242000020304030030300100000000",
"024344123023104133000230004040020000010000000",
"103420044021142241400440104030040100001000000",
"124213402232211021000340404000040300000100000",
"344330000314311221200120404030040000000010000",
"000002034333042412100200100010030100000001000",
"223112131103011234100240401030010300000000100",
"211220233141224104300410303040010100000000010",
"404130440214304020400130002000000400000000001"]);

y:=CambridgeMatrix(1,F,45,[
"001000000000000000000000000000000000000000000",
"000010000000000000000000000000000000000000000",
"000000100000000000000000000000000000000000000",
"000000010000000000000000000000000000000000000",
"000000000100000000000000000000000000000000000",
"000000000001000000000000000000000000000000000",
"000000000000010000000000000000000000000000000",
"000000000000000100000000000000000000000000000",
"000000000000000001000000000000000000000000000",
"000000000000000000010000000000000000000000000",
"000000000000000000001000000000000000000000000",
"040004400004000000000000000000000000000000000",
"000000000000000000000001000000000000000000000",
"000000000000000000000000010000000000000000000",
"000000000000000000000000000100000000000000000",
"000000000000000000000000000001000000000000000",
"000000000000000000000000000000100000000000000",
"000000000000000000000000000000001000000000000",
"421440243100030321312423401110140000000000000",
"000000000000000000000000000000000010000000000",
"000000000000000000000000000000000001000000000",
"103343441011424423104231202240140100000000000",
"343304330210230223100411202210130000000000000",
"402422014140404241100310210440140001000000000",
"421400100134342423304301012420410300000000000",
"000000000000000000000000000000000000100000000",
"010421331044334322303200203300200300000000000",
"000000000000000000000000000000000000010000000",
"044120214211023232202324402211210100000000000",
"000000000000000000000000000000000000001000000",
"210204343214311024324100300414124301010000000",
"040114043223240443202123302100121000000000000",
"000000000000000000000000000000000000000100000",
"022320031143424301112103004110140200000000000",
"000000000000000000000000000000000000000010000",
"000000000000000000000000000000000000000001000",
"000000000000000000000000000000000000000000100",
"324010203420034300301024321020310430001203000",
"000000000000000000000000000000000000000000010",
"000000000000000000000000000000000000000000001",
"002002044403201322043213132014304330320020211",
"220401324114410100030122012223122342423213004",
"102042003424334340421241400240343042232340412",
"133231314100334110042302014401401204141312222",
"222104311044143334224341301320020230414300330"]);

G<x,y>:=MatrixGroup<45,F|x,y>;
print "Group G is A11 < GL(45,GF(5))";