/*
www-ATLAS of Group Representations.
3.M22 represented as 210 x 210 matrices over GF(121).
*/

F<w>:=GF(121);

x:=CambridgeMatrix(3,F,210,\[
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76,111,64,104,42,55,66,95,41,103,81,45,63,57,29,78,8,1,116,67,0,78,94,71,78,103,46,120,0,63,49,95,99,104,36,28,34,73,65,115,36,2,94,78,70,12,42,2,111,96,7,42,69,19,113,52,101,28,32,58,7,102,83,108,21,96,104,82,45,65,50,44,31,6,2,10,72,17,61,111,40,103,42,11,41,70,86,5,70,44,24,28,94,83,65,46,92,112,37,27,54,98,19,116,5,62,15,48,46,106,107,46,99,17,14,45,66,119,15,111,85,67,104,74,108,18,36,26,104,103,64,94,13,101,63,28,108,95,77,61,45,15,14,55,117,53,101,14,104,37,88,53,35,0,115,97,12,112,52,6,50,120,46,44,92,21,99,89,80,1,64,47,2,8,96,44,90,114,8,91,56,60,6,46,105,113,72,47,4,5,61,70,70,36,83,83,37,0,69,23,91,45,59,42,11,11,116,13,99,102,
116,32,63,45,69,89,111,15,101,21,22,23,59,42,7,19,96,43,108,2,60,59,24,11,35,50,58,22,9,91,26,101,106,101,97,119,75,12,107,100,54,82,21,65,33,68,48,94,117,117,89,20,7,16,18,39,120,112,66,20,30,51,88,35,51,50,58,99,63,13,46,72,47,19,95,99,29,65,50,107,38,68,14,89,9,37,0,37,39,9,1,101,93,21,27,28,26,29,12,41,6,55,98,81,36,82,83,62,23,101,9,85,67,32,120,107,66,100,92,21,40,17,69,88,95,32,47,55,30,98,45,35,64,36,73,115,38,4,23,89,88,78,77,83,63,47,102,54,39,29,33,8,50,48,28,60,21,60,35,56,109,111,79,78,32,4,107,75,26,53,30,119,19,66,54,60,113,85,119,68,62,44,30,4,79,50,57,36,94,106,56,117,3,47,6,120,91,96,85,50,107,21,5,83,101,98,39,116,31,93,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
77,89,6,95,82,71,92,49,5,48,97,4,104,53,17,16,77,52,53,103,1,89,116,28,19,15,88,96,110,40,104,79,87,118,60,14,16,58,100,114,3,105,99,34,31,81,7,76,83,35,48,100,23,16,33,49,8,97,97,80,56,77,94,71,119,25,87,48,9,61,1,41,76,25,27,28,53,12,22,80,14,96,34,34,30,39,56,37,11,57,56,11,51,105,119,70,44,86,3,24,48,1,38,77,59,6,19,107,45,110,45,81,94,50,28,66,108,95,45,0,107,66,109,113,102,32,108,42,15,94,7,108,104,77,22,5,80,35,10,68,37,91,90,93,93,25,16,63,82,6,86,25,110,32,86,51,40,47,25,79,38,38,84,70,15,16,18,16,78,56,11,94,52,104,113,10,103,3,36,100,116,80,112,114,100,58,83,115,42,116,7,12,113,59,71,18,80,15,55,91,35,37,20,45,59,91,14,102,33,76,
76,34,104,5,97,52,91,10,58,24,33,5,81,50,3,11,47,115,45,32,4,89,46,34,90,91,120,27,0,1,41,17,89,3,115,94,119,85,73,83,24,14,80,56,66,87,111,69,25,83,50,18,35,48,3,79,23,50,115,56,4,26,91,86,60,69,82,65,38,29,27,114,109,12,2,68,33,11,68,112,82,102,12,34,98,65,60,97,35,97,58,21,101,63,34,4,35,40,91,32,61,104,96,107,39,88,26,34,62,81,86,11,3,5,38,99,115,6,117,93,103,40,74,47,81,75,29,104,29,66,18,67,55,49,44,14,56,69,80,83,116,73,6,11,81,96,50,47,79,99,91,20,98,76,81,18,44,65,28,54,44,111,118,118,43,0,42,89,23,18,52,98,116,100,79,52,101,58,66,84,14,42,8,44,31,104,66,2,53,25,116,3,90,17,107,101,50,90,81,66,98,107,28,52,88,46,83,115,8,58,
46,39,108,15,13,50,25,83,53,110,31,80,4,77,53,87,82,87,32,62,110,95,38,42,4,112,59,89,86,44,85,73,2,61,105,10,120,36,13,67,33,80,95,25,95,68,20,51,35,28,18,9,97,87,8,62,43,11,23,106,21,26,75,72,97,24,101,19,3,46,62,5,42,119,39,12,104,28,40,90,48,53,61,93,54,107,23,97,27,119,50,51,7,99,60,95,72,21,8,51,6,81,33,10,28,101,50,97,113,70,82,96,103,34,47,22,81,77,69,106,91,16,85,102,52,1,47,24,111,30,81,85,71,46,52,20,120,13,99,107,41,25,114,35,8,2,37,109,49,78,120,60,43,45,45,110,67,23,10,43,57,89,6,42,18,103,3,113,4,75,51,23,9,83,65,116,84,18,21,9,17,96,5,102,105,70,8,4,8,108,104,63,57,11,47,105,37,65,108,9,118,1,85,87,85,1,13,96,105,39,
114,74,54,103,48,35,78,81,107,36,43,13,57,93,12,99,110,23,117,32,44,9,41,21,70,24,104,21,17,100,101,82,120,37,90,44,38,18,65,62,42,102,29,46,35,4,116,77,104,21,3,97,10,82,41,103,63,56,58,82,45,117,66,90,119,64,117,112,63,115,40,36,112,61,32,53,67,20,15,119,27,17,64,42,63,102,0,2,32,82,95,96,50,62,38,16,69,117,113,67,98,93,33,56,23,83,76,13,27,51,22,51,28,1,42,63,49,54,20,32,50,91,66,10,14,27,80,63,112,9,8,81,55,13,1,74,60,36,27,54,82,34,60,82,104,36,40,120,94,98,6,100,77,41,16,95,61,0,28,111,33,72,20,44,8,99,30,46,58,76,15,104,77,66,34,12,76,119,59,21,84,35,17,41,9,59,84,1,45,78,111,57,61,6,7,115,7,105,36,26,105,41,12,75,49,4,56,28,10,5,
65,102,96,57,47,47,34,44,37,112,117,82,22,25,114,2,63,58,47,116,113,5,118,61,39,74,22,0,90,76,30,7,5,20,24,13,21,68,57,60,79,18,45,101,24,29,103,34,20,14,23,25,48,9,68,89,6,96,107,10,20,110,42,108,78,0,42,49,59,75,99,116,109,36,104,83,12,47,119,60,99,48,102,89,71,73,87,7,44,74,93,63,97,45,73,84,64,118,4,79,100,13,91,97,12,93,74,19,87,24,31,46,93,67,42,30,91,33,42,112,86,99,24,100,14,66,39,106,93,56,50,92,101,117,3,4,81,10,64,55,15,119,46,6,38,111,10,83,5,0,105,86,8,51,24,36,71,92,118,101,72,35,99,31,26,111,9,95,71,6,33,50,92,73,64,23,22,110,6,74,16,23,18,55,92,82,98,7,11,45,79,63,45,7,26,69,51,95,106,115,31,0,111,82,111,17,48,97,119,117,
27,43,50,27,105,17,41,17,110,89,67,18,32,85,2,66,81,65,57,31,98,82,26,110,84,42,110,72,35,74,37,19,27,61,20,81,83,77,32,116,87,11,47,18,69,12,117,97,5,66,3,27,92,104,71,32,32,105,35,32,106,97,92,63,43,96,66,33,70,82,12,107,45,113,22,111,89,100,68,57,118,38,1,87,13,91,87,117,15,108,63,103,52,25,73,102,83,31,105,78,22,58,38,18,21,110,38,34,33,35,81,99,107,94,38,120,87,99,94,33,97,82,56,59,69,3,73,86,17,6,59,72,21,33,7,58,84,93,61,89,81,104,55,53,44,51,20,116,16,84,83,57,29,53,59,102,11,114,110,2,109,90,75,7,63,21,114,23,117,46,7,55,115,120,107,53,5,87,0,105,85,104,85,44,98,9,61,0,20,1,46,88,32,64,10,42,74,115,7,105,2,38,23,9,13,82,117,115,65,91,
39,54,70,0,75,19,77,101,91,49,38,86,13,71,76,89,6,6,93,82,106,45,27,18,34,5,80,108,71,59,6,70,47,101,115,37,92,73,56,106,69,90,87,93,34,7,31,78,31,81,117,99,88,86,111,54,110,50,21,4,12,110,46,112,120,78,13,86,84,118,24,86,9,115,34,10,99,81,60,6,8,62,98,103,88,74,27,61,119,91,16,15,66,69,83,53,29,26,1,9,23,63,35,76,70,15,113,118,25,46,10,92,24,109,84,3,1,110,111,24,99,85,61,70,26,19,52,7,76,47,59,116,28,109,116,5,12,14,58,26,48,38,32,108,55,86,54,45,33,48,119,104,96,51,57,112,113,17,120,119,53,76,36,90,52,30,79,55,6,17,40,34,83,82,76,89,11,39,44,86,53,52,68,58,27,114,61,7,20,82,0,94,93,33,70,36,76,34,108,83,23,75,95,17,17,47,117,39,16,118,
43,31,17,55,37,4,6,92,84,3,64,19,57,79,78,117,25,11,102,119,83,89,77,88,56,89,45,29,29,120,79,37,72,116,30,79,39,93,64,54,45,37,89,61,61,91,14,106,119,115,24,92,20,16,76,57,120,26,77,14,17,30,46,111,5,19,87,88,56,16,40,42,25,71,26,62,106,12,30,97,46,50,52,17,54,63,67,11,80,4,72,76,34,3,9,41,112,74,96,59,15,3,64,119,71,30,1,111,2,41,4,25,114,12,6,40,22,102,119,84,14,65,1,74,107,103,118,13,119,40,117,53,1,10,30,103,72,16,81,82,66,13,116,14,77,79,66,111,94,94,76,31,40,11,59,71,47,48,113,70,43,29,100,106,92,6,90,30,9,50,44,66,50,42,7,28,18,11,14,7,78,110,69,55,65,108,92,75,73,24,79,98,106,112,84,41,85,67,63,52,60,65,12,77,94,77,40,5,64,32,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]);

G<x,y>:=MatrixGroup<210,F|x,y>;
print "Group G is 3.M22 < GL(210,GF(121))";