/*
www-ATLAS of Group Representations.
A14 represented as 66 x 66 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,66,[
"010000000000000000000000000000000000000000000000000000000000000000",
"000100000000000000000000000000000000000000000000000000000000000000",
"000001000000000000000000000000000000000000000000000000000000000000",
"100000000000000000000000000000000000000000000000000000000000000000",
"000000001000000000000000000000000000000000000000000000000000000000",
"000000000010000000000000000000000000000000000000000000000000000000",
"000000000000100000000000000000000000000000000000000000000000000000",
"000000000000001000000000000000000000000000000000000000000000000000",
"000000000000000010000000000000000000000000000000000000000000000000",
"000000000000000000100000000000000000000000000000000000000000000000",
"001000000000000000000000000000000000000000000000000000000000000000",
"000000000000000000000100000000000000000000000000000000000000000000",
"000000000000000000000010000000000000000000000000000000000000000000",
"000000000000000000000000100000000000000000000000000000000000000000",
"000000000000000000000000001000000000000000000000000000000000000000",
"000000000000000000000000000010000000000000000000000000000000000000",
"000010000000000000000000000000000000000000000000000000000000000000",
"000000000000000000000000000000010000000000000000000000000000000000",
"000000000000000000000000000000000100000000000000000000000000000000",
"000000000000000000000000000000000001000000000000000000000000000000",
"000000000000000000000000000000000000010000000000000000000000000000",
"000000000000000000000000000000000000000100000000000000000000000000",
"000000100000000000000000000000000000000000000000000000000000000000",
"620544105206451455305030300120110261000060000000000000000000000000",
"446142162254263212361622003500500226030620000000000000000000000000",
"562236263636442515300426410110110561050360000000000000000000000000",
"000000010000000000000000000000000000000000000000000000000000000000",
"220443334201415564241061505030640312010010000000000000000000000000",
"550334643603562615636346202110110265060060000000000000000000000000",
"415201331012523465406360501031020300010200000000000000000000000000",
"141630155243102566346214303360450246020640000000000000000000000000",
"266434206252120251656065002230250654040350000000000000000000000000",
"142206443260130341526120403040061005010600000000000000000000000000",
"000000000100000000000000000000000000000000000000000000000000000000",
"552515203631151131515531105600600325040210000000000000000000000000",
"443144261260453023655262003520560621060020000000000000000000000000",
"320314242660031646160141301620620010120010000000000000000000000000",
"432134154143106602164541602620660510060010000000000000000000000000",
"336655052046240106356405504240260454041250000000000000000000000000",
"000000000001000000000000000000000000000000000000000000000000000000",
"552461324540015346144640600040010103030110000000000000000000000000",
"020141021514126624641033203440460330050631000000000000000000000000",
"535345556523305546330224300360350640010640100000000000000000000000",
"441251566005111631615553304440420133010030010000000000000000000000",
"060233350405413041462661505610600610000410001000000000000000000000",
"311012626225224003445624104340310146030040000100000000000000000000",
"423655056306124136220415000240260250030250000010000000000000000000",
"423563655465456331103604506310330243050040000001000000000000000000",
"600501620341643301121254605310330341000140000000100000000000000000",
"565103352400556154122615405240210250010650000000010000000000000000",
"406234046115254250113666300140160560020260000000001000000000000000",
"520101004220404130655121602600610611040010000000000100000000000000",
"046542236056443146411462106510530324030620000000000010000000000000",
"156600456322534412344005600210230155060350000000000001000000000000",
"420642215462246555040255502200200355030150000000000000100000000000",
"242323235116166003616122603520560024050220000000000000010000000000",
"354412243623164631223165301260240650000150000000000000001000000000",
"443601520132223402513600502030050106040600000000000000000100000000",
"661364533555535555422031305630630514000310000000000000000010000000",
"261401244366261432404155304210230052060550000000000000000001000000",
"434116431304331450261161302640610210010310000000000000000000100000",
"411412152534116243611132401500560324030420000000000000000000010000",
"264250066553135333430033100400400531060030000000000000000000001000",
"362550246653263636536430100010010304010000000000000000000000000100",
"004300142551046153164533001420400135020430000000000000000000000010",
"543435551333440035440366403160110064050060000000000000000000000001"]);

y:=CambridgeMatrix(1,F,66,[
"001000000000000000000000000000000000000000000000000000000000000000",
"000010000000000000000000000000000000000000000000000000000000000000",
"000000100000000000000000000000000000000000000000000000000000000000",
"000000010000000000000000000000000000000000000000000000000000000000",
"000000000100000000000000000000000000000000000000000000000000000000",
"000000000001000000000000000000000000000000000000000000000000000000",
"000000000000010000000000000000000000000000000000000000000000000000",
"000000000000000100000000000000000000000000000000000000000000000000",
"000000000000000001000000000000000000000000000000000000000000000000",
"000000000000000000010000000000000000000000000000000000000000000000",
"000000000000000000001000000000000000000000000000000000000000000000",
"066006600006000000000000000000000000000000000000000000000000000000",
"000000000000000000000001000000000000000000000000000000000000000000",
"000000000000000000000000010000000000000000000000000000000000000000",
"000000000000000000000000000100000000000000000000000000000000000000",
"000000000000000000000000000001000000000000000000000000000000000000",
"000000000000000000000000000000100000000000000000000000000000000000",
"000000000000000000000000000000001000000000000000000000000000000000",
"000000000000000000000000000000000010000000000000000000000000000000",
"000000000000000000000000000000000000100000000000000000000000000000",
"000000000000000000000000000000000000001000000000000000000000000000",
"000000000000000000000000000000000000000010000000000000000000000000",
"040616540442633465450655003120120545020130000000000000000000000000",
"000000000000000000000000000000000000000001000000000000000000000000",
"506053044601442462541544611120120503010150000000000000000000000000",
"000000000000000000000000000000000000000000100000000000000000000000",
"440116461304423652215152303450350624020020000000000000000000000000",
"000000000000000000000000000000000000000000010000000000000000000000",
"360332050060145140622411206601600232000250000000000000000000000000",
"000000000000000000000000000000000000000000001000000000000000000000",
"000000000000000000000000000000000000000000000100000000000000000000",
"130504616161360602263114401011014115032000060600000000000000000000",
"000000000000000000000000000000000000000000000010000000000000000000",
"511543446443345651332552104446434661015660010100000000000000000000",
"000000000000000000000000000000000000000000000001000000000000000000",
"606640042362452161641531101334125111101240030300000000000000000000",
"000000000000000000000000000000000000000000000000100000000000000000",
"244150520040361552130302600633632214050510040400000000000000000000",
"000000000000000000000000000000000000000000000000010000000000000000",
"062326603342413261005010606144105215001020030300000000000000000000",
"342012133656316512133523414124230035111436030306000000000000000000",
"000000000000000000000000000000000000000000000000001000000000000000",
"000000000000000000000000000000000000000000000000000100000000000000",
"000000000000000000000000000000000000000000000000000010000000000000",
"000000000000000000000000000000000000000000000000000001000000000000",
"513305523453124032602406222404351565264065031233020060000000000000",
"000000000000000000000000000000000000000000000000000000100000000000",
"250465433004054404233245036130004342555054222036155050000000000000",
"000000000000000000000000000000000000000000000000000000010000000000",
"000000000000000000000000000000000000000000000000000000001000000000",
"000000000000000000000000000000000000000000000000000000000100000000",
"000000000000000000000000000000000000000000000000000000000010000000",
"031326055203414153625100401035306213250256354300226051506000000000",
"000000000000000000000000000000000000000000000000000000000001000000",
"000000000000000000000000000000000000000000000000000000000000100000",
"000000000000000000000000000000000000000000000000000000000000010000",
"000000000000000000000000000000000000000000000000000000000000001000",
"330234421040166323225664144101665102430366650223531601105610001000",
"000000000000000000000000000000000000000000000000000000000000000100",
"000000000000000000000000000000000000000000000000000000000000000010",
"613525461032240235022422444415605260266341245345301014066465464000",
"602344156026426113621153261153565443563466535432146251345146312300",
"211542326205263352304430353331201534523033066065130224112064145000",
"000000000000000000000000000000000000000000000000000000000000000001",
"415323250125154113344352124556324536264631220626163532140061251116",
"060011365100046163165522053654216434420342350126650322151202660505"]);

G<x,y>:=MatrixGroup<66,F|x,y>;
print "Group G is A14 < GL(66,GF(7))";