/*
www-ATLAS of Group Representations.
L5(2) represented as 124 x 124 matrices over GF(31).
*/

F:=GF(31);

x:=CambridgeMatrix(3,F,124,\[
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,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
5,13,14,9,14,15,3,13,19,21,10,26,4,17,3,24,12,8,25,25,17,17,0,24,30,1,6,20,29,20,23,11,18,26,6,6,25,0,13,18,19,7,4,9,27,25,9,18,25,24,10,29,19,26,7,28,22,6,23,5,8,4,25,18,22,3,5,28,17,7,14,12,28,11,22,6,8,17,28,15,11,7,8,20,16,9,0,15,13,21,13,26,18,14,2,15,21,3,13,20,26,0,27,6,14,20,13,7,29,22,16,18,0,5,6,7,9,26,28,8,2,9,13,20,
25,14,29,18,14,5,19,6,6,28,1,24,4,8,14,11,3,12,23,22,24,20,18,13,13,13,5,28,26,12,27,20,20,23,25,15,7,0,30,29,1,9,19,30,24,18,15,27,5,0,1,19,3,10,0,9,17,20,4,23,18,1,0,3,18,25,26,15,16,5,29,26,25,6,15,24,26,13,8,21,13,20,10,25,9,9,25,6,7,1,30,2,30,0,27,16,22,29,26,6,10,10,11,15,30,16,9,10,10,10,12,18,0,7,18,7,0,23,1,23,22,28,23,21,
26,1,0,10,13,23,17,1,27,14,24,8,0,18,10,16,6,9,9,2,9,19,15,5,3,5,11,20,12,25,7,6,26,8,16,10,3,26,1,28,11,19,20,24,10,9,29,0,4,3,25,15,14,24,6,19,29,23,30,27,30,13,13,17,17,2,15,11,16,12,12,6,26,3,28,30,13,7,24,17,29,7,1,17,1,5,4,23,12,10,21,30,5,26,10,2,4,1,13,15,19,28,9,2,21,24,18,0,5,15,24,28,30,7,17,26,20,23,21,10,22,30,16,14,
1,9,27,28,4,1,3,29,30,24,4,2,17,13,7,19,27,22,24,14,16,15,4,2,26,9,14,0,10,17,16,27,3,29,24,22,11,17,25,0,21,24,6,26,28,0,1,7,6,9,20,13,1,6,17,1,21,7,30,25,26,5,26,0,30,24,27,25,29,5,18,17,30,16,5,14,26,30,10,15,24,1,19,0,5,0,0,5,0,0,7,0,4,0,0,2,0,26,0,14,0,0,15,0,26,0,24,5,0,0,16,0,7,0,0,12,0,0,0,0,0,0,0,0,
1,26,10,9,19,3,28,21,28,0,14,9,3,13,11,27,9,26,22,0,6,13,3,13,11,19,23,27,0,29,1,5,4,1,15,30,4,6,16,17,0,13,17,30,6,17,30,20,20,21,5,26,0,26,3,22,19,29,10,17,28,26,15,5,29,25,26,17,12,23,0,0,20,8,14,17,22,19,14,18,10,6,2,16,22,19,12,0,11,9,6,11,24,24,19,2,3,30,1,30,15,10,8,18,10,5,8,2,17,27,5,2,21,16,6,11,10,23,10,8,3,4,17,17,
0,5,21,26,25,8,4,9,25,19,8,11,20,5,15,7,20,9,17,13,28,18,6,26,6,14,0,11,29,6,22,16,23,0,26,13,11,21,25,1,12,16,14,27,19,17,27,23,7,29,23,28,29,14,2,10,3,0,26,4,9,3,6,29,28,26,20,24,19,20,20,18,26,15,26,9,2,10,24,2,5,27,11,20,1,19,20,24,6,20,7,2,21,4,17,30,7,27,6,19,30,20,14,16,10,24,1,14,19,11,10,6,16,5,27,27,6,15,4,17,0,0,14,0,
27,0,6,0,21,0,0,0,0,0,0,0,14,0,0,0,0,0,0,18,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
17,29,14,8,17,19,23,4,12,8,30,27,23,6,23,15,1,25,23,8,11,21,22,24,5,6,2,12,26,14,10,9,28,7,24,30,29,29,5,19,5,21,9,23,3,11,25,7,9,1,2,2,6,26,20,9,21,10,27,22,13,8,14,20,6,7,8,22,10,14,29,7,25,0,28,11,13,22,10,16,30,4,22,0,18,0,0,17,0,0,24,0,23,0,0,21,1,17,0,24,0,0,0,0,3,0,0,18,0,0,15,0,1,0,0,9,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
12,0,12,24,17,15,30,10,14,13,21,28,15,15,13,24,29,17,21,26,23,22,29,4,17,24,12,14,18,6,23,7,1,21,10,22,14,3,6,10,3,4,16,5,19,18,10,12,0,25,2,1,18,11,10,4,5,21,9,6,29,16,19,20,26,20,22,8,7,22,30,11,18,23,14,30,28,20,21,1,13,7,15,8,25,16,14,21,29,15,10,3,12,22,21,29,9,22,6,14,20,10,10,28,27,4,4,20,9,25,20,22,0,17,1,6,10,27,28,29,18,13,21,15,
6,9,21,20,16,19,12,2,14,2,12,5,20,26,25,10,7,24,16,23,16,24,24,14,4,16,10,13,7,6,22,3,3,21,17,15,19,16,27,29,22,1,12,7,20,25,22,12,22,21,5,13,30,20,14,0,5,1,0,2,30,8,0,7,17,24,16,0,30,9,19,19,20,10,20,29,16,11,2,15,23,16,27,29,9,29,9,21,30,11,5,13,0,12,27,11,12,15,6,29,2,24,11,10,6,15,21,14,27,8,13,9,4,1,17,7,7,1,23,23,27,27,16,28,
29,13,14,13,9,28,3,10,4,17,25,9,29,17,10,16,15,25,1,13,20,15,10,7,0,25,16,3,7,21,14,5,10,14,14,18,19,13,5,10,8,3,18,5,2,6,30,4,30,7,5,21,2,23,14,28,23,8,10,5,2,8,1,30,12,14,23,14,27,21,12,1,18,1,16,21,29,26,7,22,21,2,21,19,15,8,28,30,16,14,21,27,28,17,28,20,18,4,17,21,18,19,3,3,24,4,8,6,6,9,8,19,27,6,10,23,24,9,26,25,8,20,17,30,
13,25,30,5,26,25,7,18,24,5,13,16,12,4,11,11,8,29,16,14,21,15,19,6,10,7,8,26,19,10,10,8,23,9,1,28,7,23,19,27,17,12,10,24,30,25,16,15,15,9,25,12,7,15,20,15,23,0,3,17,26,17,13,6,23,12,3,16,26,17,6,9,18,8,25,30,26,3,0,10,26,25,6,11,15,10,9,0,6,12,7,26,14,19,28,15,26,10,5,19,25,18,14,4,0,4,19,10,7,18,6,12,0,20,8,23,5,16,15,28,0,21,21,29,
25,30,30,13,10,6,2,30,9,21,23,0,30,13,13,28,1,15,10,21,6,26,27,17,15,8,22,10,4,29,16,28,12,23,7,0,28,25,30,12,4,7,19,5,7,8,10,15,3,22,22,13,16,7,20,21,9,5,29,18,8,23,5,24,24,10,7,0,12,14,14,5,2,14,15,25,30,23,1,16,17,26,15,18,21,21,19,5,7,21,0,27,29,1,16,7,11,30,28,6,23,3,23,26,8,8,12,8,6,6,8,13,17,7,7,24,21,7,27,10,13,1,3,27,
8,27,16,3,13,1,0,13,3,27,18,17,15,4,12,11,2,17,14,27,29,29,0,29,4,26,24,0,28,23,21,6,28,8,11,11,23,20,24,7,10,22,6,2,1,25,17,25,12,13,19,20,28,14,2,11,3,26,17,0,24,12,4,28,8,20,3,19,20,26,30,0,21,12,23,30,28,28,24,5,28,7,28,17,14,17,18,26,3,5,12,1,24,21,16,5,13,28,24,23,23,30,17,11,17,21,2,0,27,8,5,12,6,18,8,26,28,13,7,3,10,1,23,6,
9,18,26,0,5,30,30,22,12,22,13,30,22,27,8,24,6,18,17,21,15,1,9,13,24,3,17,15,24,30,6,17,11,2,10,16,7,12,13,10,9,2,15,12,20,1,18,4,30,24,18,25,19,6,16,24,28,25,13,25,15,8,5,27,25,7,14,22,22,6,0,30,0,0,9,11,27,4,12,27,4,17,9,12,8,11,14,2,24,0,8,20,10,13,16,11,18,24,30,19,11,26,12,4,14,7,20,20,17,28,14,24,27,25,3,27,29,29,26,12,0,8,9,18,
29,10,10,18,26,23,12,8,4,19,27,24,29,30,12,2,7,0,8,15,30,19,28,30,6,14,1,4,8,6,12,16,15,24,12,28,21,13,1,11,26,1,21,6,8,16,9,13,18,16,13,20,9,15,20,29,29,20,17,21,3,24,13,23,2,2,19,20,6,17,6,11,10,20,26,4,27,12,10,29,29,9,3,27,3,24,20,7,9,18,9,28,4,26,7,30,19,14,1,3,26,7,26,2,22,23,4,27,0,25,7,11,9,16,23,9,12,29,18,21,1,4,0,23,
14,25,9,5,28,14,5,22,19,19,3,13,5,27,17,12,27,13,14,2,7,28,20,10,11,15,26,1,10,11,7,11,6,22,13,1,15,7,27,25,7,9,12,0,14,19,11,23,4,6,20,27,8,5,23,7,4,29,30,22,13,22,7,29,26,29,13,17,13,2,23,8,20,5,7,29,12,29,25,26,5,3,28,28,8,14,9,8,3,30,9,25,14,6,30,18,29,22,8,25,3,14,22,10,24,9,8,14,17,13,20,12,25,1,24,27,16,7,20,29,5,9,24,3,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
8,7,21,2,27,14,14,7,3,25,4,22,29,10,12,21,6,3,23,8,13,24,9,9,1,5,30,10,30,30,21,7,4,15,9,2,24,14,8,25,20,7,22,18,0,11,5,9,5,20,24,5,10,8,30,7,28,20,20,25,28,0,15,3,7,14,20,22,12,20,17,9,22,26,30,15,25,8,24,7,30,26,0,30,29,21,12,3,2,9,0,18,24,2,13,28,9,15,30,13,7,27,27,15,8,8,11,19,23,3,17,16,24,0,16,6,1,13,6,22,13,26,1,27,
30,8,23,26,4,23,0,3,24,21,5,21,18,17,26,1,5,10,25,11,1,24,23,9,29,18,18,10,22,28,9,10,16,3,25,1,1,6,24,7,23,16,26,7,5,15,15,29,25,24,26,29,6,24,3,13,16,15,25,28,9,8,5,25,1,26,30,20,21,29,11,12,2,13,18,3,30,3,4,7,15,2,3,10,23,30,14,20,9,15,7,2,18,10,4,8,11,1,25,3,20,16,1,20,18,8,20,28,17,20,17,4,11,2,23,22,22,10,23,8,7,15,7,20,
26,13,19,13,28,15,23,24,15,27,27,0,14,14,16,1,0,6,3,29,5,15,22,14,20,27,5,24,0,7,0,7,20,10,16,13,3,27,25,15,30,23,0,26,20,7,30,26,12,18,7,8,23,17,26,9,29,16,22,2,27,28,23,16,24,15,29,15,23,3,18,0,14,22,2,9,17,19,20,23,14,4,9,7,23,8,13,26,9,10,26,13,7,14,7,7,13,1,4,16,4,16,1,12,23,23,23,18,20,26,0,6,13,19,14,29,10,0,15,3,0,12,15,29,
16,25,8,14,10,30,24,4,18,19,1,17,1,9,0,3,5,25,25,3,1,25,22,26,5,29,18,15,14,8,16,21,15,24,27,5,5,18,2,20,7,28,5,6,28,3,5,26,16,28,22,2,30,27,25,25,11,29,1,30,23,25,11,16,29,2,30,23,28,4,10,17,5,14,29,18,4,2,9,23,26,14,5,29,18,9,28,4,5,29,20,16,0,13,23,23,29,5,7,23,4,6,7,26,29,19,7,3,18,8,22,7,6,6,6,13,0,7,0,0,16,22,9,27,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
2,21,10,16,23,21,17,22,16,4,13,9,8,19,6,18,12,12,4,15,29,0,14,6,8,1,23,22,16,24,27,20,14,6,11,10,26,5,13,26,27,25,9,12,0,13,26,2,6,7,15,26,1,11,8,22,5,28,15,21,19,1,27,24,9,7,0,0,2,2,6,18,27,2,18,9,17,19,25,25,24,9,9,26,5,13,18,28,15,8,13,11,11,19,22,22,5,3,30,26,14,12,10,4,28,1,12,28,17,22,1,20,8,19,10,23,23,9,18,27,22,14,23,18,
27,28,21,17,14,28,10,17,17,11,18,19,17,27,24,6,25,21,15,17,25,15,1,29,21,30,0,17,13,8,29,3,23,19,29,17,23,26,7,4,6,1,27,20,20,1,4,19,14,3,12,26,9,10,4,15,8,19,22,14,20,0,14,28,21,10,14,18,2,20,19,23,13,13,4,18,27,16,14,8,5,28,7,10,1,13,19,12,8,7,28,11,26,14,26,1,27,29,30,7,26,9,25,6,20,19,16,13,7,0,6,16,15,1,7,25,8,26,10,26,13,20,29,23,
6,23,16,18,15,19,13,8,12,19,15,23,4,30,12,6,16,20,22,27,23,11,9,17,7,11,11,12,24,1,20,22,3,14,13,1,1,20,2,19,7,7,0,26,28,2,24,18,13,30,30,19,28,29,16,18,17,24,22,0,10,5,13,29,7,28,18,18,10,3,12,28,3,9,9,15,13,13,14,12,11,9,20,0,21,0,0,18,0,0,3,0,13,0,0,21,0,28,0,3,0,0,22,0,22,0,0,18,0,0,19,0,20,0,0,11,0,0,1,0,0,0,0,0,
20,1,0,7,30,15,23,19,16,4,12,1,15,29,2,15,21,12,14,8,16,28,8,12,7,4,18,30,28,16,19,30,8,8,12,1,26,24,19,0,6,11,17,10,12,4,0,28,17,25,22,19,15,5,20,4,13,0,30,22,25,2,2,25,15,22,11,8,9,21,12,14,25,14,18,27,4,28,4,14,23,7,20,18,30,6,0,19,21,0,15,11,23,18,29,6,7,2,26,20,24,29,30,26,10,23,7,15,13,19,15,2,8,15,9,20,17,7,29,21,10,12,22,28,
7,7,3,5,26,19,7,7,12,19,15,0,3,23,16,16,0,6,29,10,22,6,3,24,3,14,8,12,16,7,17,27,12,27,20,5,20,2,9,4,19,30,2,30,30,8,9,10,15,29,0,18,19,24,6,13,11,17,8,11,18,19,7,12,5,30,26,17,19,13,25,9,25,30,29,6,15,10,17,22,11,18,12,25,17,23,7,26,5,7,15,20,12,14,7,23,30,4,10,21,23,30,7,28,11,21,12,3,6,8,14,15,26,28,13,8,5,11,18,10,20,13,23,18,
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5,14,25,16,6,22,15,15,9,4,0,16,30,6,27,8,0,18,23,1,10,13,1,17,18,13,2,21,26,7,18,30,24,14,23,9,24,29,17,10,5,19,2,19,7,27,19,8,5,22,7,17,18,14,10,18,24,12,3,29,15,12,7,4,12,29,27,26,6,5,14,4,13,20,8,21,17,13,7,24,28,28,0,0,16,0,1,24,0,0,2,0,4,0,0,25,0,26,0,27,0,0,11,0,23,0,0,14,0,0,7,0,3,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
24,30,6,16,25,19,15,22,12,3,12,9,3,24,28,16,19,8,30,28,20,15,20,21,17,23,14,5,23,29,16,11,3,10,24,30,25,17,0,26,8,9,29,30,28,22,29,7,7,1,6,5,29,0,29,17,25,22,10,2,14,1,16,9,2,1,6,24,5,17,26,26,2,6,7,2,19,14,6,25,22,21,10,0,17,0,0,15,1,0,30,0,25,0,0,26,0,14,0,5,0,0,25,0,24,0,0,12,0,0,6,0,9,0,0,21,0,0,0,0,0,0,0,0,
0,0,8,17,23,27,14,9,4,9,17,22,21,14,22,8,14,13,2,10,10,0,13,30,14,18,30,26,21,2,0,18,4,1,7,15,16,1,1,5,10,13,15,9,27,21,15,24,7,16,15,24,21,30,11,1,15,18,19,16,17,22,14,10,16,27,26,24,13,6,7,18,10,24,25,20,20,30,16,1,4,12,0,0,14,0,0,17,0,1,4,0,5,0,0,18,0,25,0,13,0,0,7,0,6,0,0,11,0,0,30,0,27,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
14,2,7,13,24,21,18,20,10,9,4,11,11,2,22,10,27,7,18,20,28,8,0,12,10,24,9,13,11,28,23,0,27,19,7,30,13,22,16,18,20,27,0,19,4,16,19,24,21,1,18,1,16,15,24,8,5,4,13,0,27,12,24,15,12,22,18,10,24,4,30,26,15,14,8,7,19,23,26,27,20,18,20,0,4,0,0,7,0,0,9,1,13,0,0,7,0,27,0,5,0,0,17,0,23,0,0,12,0,0,4,0,11,0,0,11,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
25,8,19,19,12,22,12,11,9,28,24,20,13,15,3,12,7,27,11,18,15,3,12,9,12,4,23,6,4,15,28,19,27,22,27,17,27,8,0,25,27,17,27,25,4,21,12,4,16,14,4,0,29,0,26,5,20,14,30,4,5,6,22,10,19,25,2,15,4,19,0,25,2,29,2,5,18,26,11,2,2,1,28,0,26,0,0,9,0,0,6,0,29,1,0,27,0,12,0,6,0,0,2,0,29,0,0,13,0,0,29,0,29,0,0,3,0,0,0,0,0,0,0,0,
15,11,5,15,26,14,16,8,17,7,22,23,24,7,24,20,9,0,1,7,25,12,28,20,23,0,0,29,2,21,19,3,12,11,15,16,30,0,9,2,29,12,18,1,19,30,28,16,4,15,1,14,22,22,10,22,26,19,23,13,19,30,25,1,3,23,8,27,17,16,17,27,9,21,1,21,27,9,5,25,30,8,28,0,12,0,0,6,0,0,8,0,23,0,1,14,0,15,0,4,0,0,10,0,30,0,0,4,0,0,6,0,1,0,0,3,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
17,29,14,8,17,19,23,4,12,8,30,27,23,6,23,15,1,25,23,8,11,21,22,24,5,6,2,12,26,14,10,9,28,7,24,30,29,29,5,19,5,21,9,23,3,11,25,7,9,1,2,2,6,26,20,9,21,10,27,22,13,8,14,20,6,7,8,22,10,14,29,7,25,0,28,11,13,22,10,16,30,4,22,0,18,0,0,17,0,0,24,0,23,0,0,21,1,17,0,24,0,0,0,0,3,0,0,18,0,0,15,0,1,0,0,9,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
26,17,12,3,19,10,28,28,21,4,3,3,5,20,27,2,28,28,25,26,18,13,24,14,13,3,17,30,8,24,18,7,3,17,20,13,7,14,21,1,23,20,24,8,28,13,18,11,7,18,24,28,13,10,20,0,0,11,15,7,23,23,26,18,13,11,23,24,18,2,3,14,18,10,20,11,9,0,0,20,28,16,5,0,8,0,0,5,0,0,20,0,8,0,0,13,0,29,1,17,0,0,21,0,11,0,0,22,0,0,11,0,3,0,0,26,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
7,1,4,29,27,10,2,10,21,3,30,21,5,27,28,0,1,0,26,26,0,30,17,0,2,0,25,21,19,18,1,14,23,0,7,29,23,6,5,10,12,25,7,5,8,14,21,24,6,2,8,1,15,26,16,21,3,6,1,24,29,26,4,17,10,2,22,25,24,29,30,23,16,24,9,15,1,10,28,25,15,30,5,0,2,0,0,27,0,0,29,0,9,0,0,7,0,2,0,8,1,0,7,0,22,0,0,30,0,0,6,0,16,0,0,26,0,0,0,0,0,0,0,0,
26,17,23,13,8,15,18,5,16,6,9,26,17,1,25,6,22,0,9,14,23,28,13,1,17,0,18,11,1,29,3,18,27,30,20,23,2,13,2,20,30,26,24,24,4,20,9,11,6,8,29,27,13,29,0,2,13,5,13,7,28,7,2,11,22,1,1,25,27,12,4,23,18,3,5,0,23,29,18,24,22,18,8,0,3,0,0,29,0,0,30,0,30,0,0,4,0,19,0,8,0,1,28,0,26,0,0,8,0,0,7,0,9,0,0,23,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
11,6,20,12,11,26,19,4,5,16,14,27,7,25,15,12,17,3,8,24,15,19,22,27,21,28,6,12,15,3,12,9,10,4,4,14,4,25,12,19,16,29,4,20,21,10,13,27,29,17,27,0,26,19,30,6,12,2,17,27,9,11,28,21,18,11,29,2,5,30,0,4,5,29,22,1,27,25,19,12,14,14,8,0,22,0,0,3,0,0,20,0,2,0,0,26,0,1,0,27,0,0,2,1,9,0,0,4,0,0,19,0,17,0,0,23,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
19,16,14,19,17,16,12,11,15,18,13,20,12,26,13,27,18,15,17,19,26,5,8,22,23,16,18,4,13,21,26,23,30,9,2,9,24,13,16,27,18,22,23,22,1,27,6,29,24,22,7,24,1,15,9,26,19,9,3,8,20,9,25,4,25,22,14,7,1,17,7,26,30,14,26,22,19,5,12,6,12,28,17,0,11,0,0,6,0,0,9,0,17,0,0,30,0,14,0,5,0,0,17,0,5,1,0,12,0,0,25,0,19,0,0,14,0,0,0,0,0,0,0,0,
29,13,8,6,23,29,25,4,2,14,23,27,28,5,17,24,8,18,14,3,30,1,23,27,10,13,3,0,11,28,30,8,25,4,14,18,9,28,12,0,20,14,19,10,6,0,29,17,19,13,22,5,29,19,28,29,20,17,2,12,10,21,10,0,2,14,8,12,4,21,26,28,2,30,21,3,10,2,11,1,14,29,24,0,21,0,0,21,0,0,17,0,23,0,0,27,0,10,0,3,0,0,1,0,10,0,1,21,0,0,30,0,17,0,0,7,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
28,4,1,11,30,7,20,26,24,12,5,5,21,28,19,14,26,26,4,10,2,5,25,19,1,5,22,12,19,9,26,6,27,12,19,29,24,9,26,19,12,17,26,8,4,20,1,12,22,2,7,8,4,5,16,22,7,14,26,5,21,23,24,11,30,3,21,9,17,6,23,24,27,22,23,15,29,9,24,7,1,5,26,0,10,0,0,7,0,0,28,0,10,0,0,14,0,25,0,7,0,0,9,0,8,0,0,2,1,0,24,0,30,0,0,5,0,0,0,0,0,0,0,0,
20,25,7,28,24,28,3,4,3,28,22,27,1,3,3,7,9,9,27,30,1,26,27,1,0,22,0,23,11,0,5,4,29,30,21,23,15,0,13,8,20,6,27,7,2,11,1,10,24,8,16,9,27,18,2,3,25,25,0,4,12,24,14,20,30,1,21,7,21,12,22,12,4,18,6,29,21,28,6,15,8,0,18,0,19,0,0,17,0,0,30,0,10,0,0,10,0,19,0,19,0,0,13,0,25,0,0,10,0,1,16,0,23,0,0,13,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
6,23,28,11,3,0,20,10,0,19,14,21,3,2,12,20,17,13,18,28,25,1,6,22,22,18,1,0,11,12,30,25,6,9,30,18,5,30,23,0,20,24,25,17,25,11,11,1,13,13,26,23,29,8,8,2,3,7,19,6,28,14,26,20,20,3,29,18,14,14,8,30,2,11,23,23,25,29,28,21,14,12,10,0,3,0,0,5,0,0,28,0,2,0,0,17,0,17,0,1,0,0,20,0,8,0,0,6,0,0,10,1,17,0,0,21,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
19,16,10,17,21,10,14,8,21,25,3,23,0,18,6,12,28,5,7,0,15,19,12,5,16,26,19,25,18,20,12,19,15,26,0,1,17,12,25,6,13,18,17,29,16,25,25,0,25,30,14,27,21,6,25,29,24,13,6,14,29,2,12,6,6,4,9,6,5,21,4,25,10,18,16,6,27,2,7,23,9,25,26,0,2,0,0,19,0,0,27,0,22,0,0,26,0,10,0,6,0,0,13,0,15,0,0,4,0,0,8,0,22,1,0,5,0,0,0,0,0,0,0,0,
0,0,4,18,27,3,13,10,28,18,16,21,13,22,13,9,15,8,12,18,19,28,30,27,18,23,29,16,21,7,3,1,11,4,28,4,6,2,14,15,10,21,10,5,20,28,2,3,13,27,25,30,29,17,16,11,19,10,25,21,17,26,28,3,29,14,13,18,0,17,1,20,2,22,30,15,27,20,12,13,4,6,8,0,14,0,0,3,0,0,17,0,18,0,0,0,0,14,0,11,0,0,9,0,1,0,0,4,0,0,18,0,27,0,1,23,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
18,7,5,23,26,27,8,18,4,9,24,13,13,15,22,25,7,6,11,18,8,8,10,20,20,25,19,24,23,25,23,21,10,11,9,24,9,12,11,7,8,1,9,9,21,28,23,22,16,7,22,22,21,20,23,29,6,30,2,22,20,22,26,3,8,6,9,15,22,10,9,13,10,21,18,8,14,2,25,6,25,29,21,0,11,0,0,5,0,0,25,0,22,0,0,9,0,21,0,18,0,0,10,0,13,0,0,17,0,0,25,0,6,0,0,10,1,0,0,0,0,0,0,0,
9,19,23,26,8,30,5,17,1,29,6,14,15,11,2,8,25,20,6,16,10,20,5,5,12,11,9,24,17,15,11,26,21,26,24,8,6,22,8,7,14,10,19,13,10,20,25,7,12,23,25,18,29,23,14,5,12,21,16,12,22,18,18,11,6,7,5,19,3,0,13,0,2,7,22,17,3,26,19,11,4,15,20,0,9,0,0,13,0,0,24,0,26,0,0,28,0,0,0,0,0,0,24,0,9,0,0,28,0,0,20,0,27,0,0,11,0,1,0,0,0,0,0,0,
6,23,16,18,15,19,13,8,12,19,15,23,4,30,12,6,16,20,22,27,23,11,9,17,7,11,11,12,24,1,20,22,3,14,13,1,1,20,2,19,7,7,0,26,28,2,24,18,13,30,30,19,28,29,16,18,17,24,22,0,10,5,13,29,7,28,18,18,10,3,12,28,3,9,9,15,13,13,14,12,11,9,20,0,21,0,0,18,0,0,3,0,13,0,0,21,0,28,0,3,0,0,22,0,22,0,0,18,0,0,19,0,20,0,0,11,0,0,1,0,0,0,0,0,
26,17,16,24,15,24,7,8,7,3,9,23,3,30,28,10,22,26,22,28,28,14,2,8,26,5,13,6,13,17,17,29,22,23,0,13,5,18,21,25,18,19,20,11,9,1,24,0,4,18,26,28,13,10,3,1,10,12,11,11,18,20,23,30,7,6,21,27,16,10,3,29,18,3,10,28,6,30,21,25,22,20,1,0,13,0,0,8,0,0,25,0,10,0,0,15,0,21,0,2,0,0,28,0,21,0,0,25,0,0,6,0,9,0,0,30,0,0,0,1,0,0,0,0,
27,26,23,23,8,3,8,24,28,26,16,7,25,0,5,16,15,19,0,6,20,23,25,22,23,12,12,10,16,21,8,6,8,9,8,15,25,19,3,21,15,29,28,7,23,24,20,23,13,16,6,24,7,28,24,4,18,2,24,3,19,24,6,7,11,25,6,18,13,18,7,28,24,12,11,7,17,27,13,28,25,7,17,0,12,0,0,25,0,0,6,0,25,0,0,18,0,13,0,3,0,0,19,0,20,0,0,14,0,0,3,0,6,0,0,14,0,0,0,0,1,0,0,0,
11,6,21,18,10,11,13,23,20,6,6,8,16,15,25,18,25,1,11,15,7,26,4,11,21,30,26,1,24,3,5,27,27,20,12,4,6,5,20,30,7,6,21,19,4,3,18,19,26,27,25,9,20,11,2,4,13,25,15,10,23,12,9,28,13,5,26,5,13,0,22,10,11,19,24,29,9,27,18,30,7,16,27,0,8,0,0,22,0,0,26,0,5,0,0,18,0,0,0,21,0,0,12,0,7,0,0,22,0,0,1,0,24,0,0,4,0,0,0,0,0,1,0,0,
18,7,8,10,23,10,21,19,21,8,17,12,22,30,23,10,14,2,22,9,28,30,9,29,18,29,24,13,28,7,1,22,26,2,6,20,6,7,6,18,3,2,22,24,5,27,19,25,10,11,25,18,20,25,7,20,0,29,1,9,11,7,14,4,12,2,1,21,19,28,13,13,11,17,25,24,12,11,0,10,25,30,24,0,20,0,0,17,0,0,29,0,30,0,0,12,0,3,0,18,0,0,14,0,6,0,0,19,0,0,21,0,6,0,0,7,0,0,0,0,0,0,1,0,
3,27,30,18,1,24,13,15,7,28,13,16,15,30,3,5,18,10,22,16,14,22,18,1,2,21,27,3,6,18,9,13,8,30,12,11,16,4,2,28,25,28,7,14,23,5,4,19,24,20,15,30,10,29,12,12,16,3,13,24,17,17,10,26,27,20,0,7,15,28,1,24,21,13,0,19,25,19,15,17,7,18,30,0,14,0,0,21,0,0,11,0,0,0,0,16,0,3,0,7,0,0,18,0,0,0,0,6,0,0,14,0,24,0,0,1,0,0,0,0,0,0,0,1]);

G<x,y>:=MatrixGroup<124,F|x,y>;
print "Group G is L5(2) < GL(124,GF(31))";